23.696 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.132 * * * [progress]: [2/2] Setting up program.
0.141 * [progress]: [Phase 2 of 3] Improving.
0.142 * [simplify]: Simplifying:
  (* (* (* -2.0 J) (cos (/ K 2.0))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0))))
0.142 * * [simplify]: iteration 0: 17 enodes
0.147 * * [simplify]: iteration 1: 34 enodes
0.156 * * [simplify]: iteration 2: 71 enodes
0.181 * * [simplify]: iteration 3: 135 enodes
0.216 * * [simplify]: iteration 4: 208 enodes
0.676 * * [simplify]: iteration 5: 492 enodes
1.677 * * [simplify]: iteration 6: 3236 enodes
2.756 * * [simplify]: iteration complete: 5000 enodes
2.756 * * [simplify]: Extracting #0: cost 1 inf + 0
2.756 * * [simplify]: Extracting #1: cost 15 inf + 0
2.756 * * [simplify]: Extracting #2: cost 15 inf + 2
2.756 * * [simplify]: Extracting #3: cost 18 inf + 5
2.757 * * [simplify]: Extracting #4: cost 266 inf + 11
2.759 * * [simplify]: Extracting #5: cost 989 inf + 31
2.763 * * [simplify]: Extracting #6: cost 1329 inf + 157
2.767 * * [simplify]: Extracting #7: cost 874 inf + 16036
2.771 * * [simplify]: Extracting #8: cost 150 inf + 43868
2.776 * * [simplify]: Extracting #9: cost 3 inf + 46991
2.780 * * [simplify]: Extracting #10: cost 0 inf + 46112
2.793 * * [simplify]: Extracting #11: cost 0 inf + 46084
2.801 * [simplify]: Simplified to:
  (* (sqrt (+ (pow (/ (/ U (cos (/ K 2.0))) (* J 2.0)) 2.0) 1.0)) (* (cos (/ K 2.0)) (* -2.0 J)))
2.813 * * [progress]: iteration 1 / 4
2.813 * * * [progress]: picking best candidate
2.821 * * * * [pick]: Picked  #<alt (λ (J K U) (* (* (* -2.0 J) (cos (/ K 2.0))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))))>
2.821 * * * [progress]: localizing error
2.873 * * * [progress]: generating rewritten candidates
2.873 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
2.976 * * * * [progress]: [ 2 / 4 ] rewriting at (2)
3.120 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2)
3.151 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1)
3.183 * * * [progress]: generating series expansions
3.183 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
3.183 * [backup-simplify]: Simplify (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0))) into (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0))
3.183 * [approximate]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0)) in (U J K) around 0
3.184 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0)) in K
3.184 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0) in K
3.184 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) in K
3.184 * [taylor]: Taking taylor expansion of 0.25 in K
3.184 * [backup-simplify]: Simplify 0.25 into 0.25
3.184 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2))) in K
3.184 * [taylor]: Taking taylor expansion of (pow U 2) in K
3.184 * [taylor]: Taking taylor expansion of U in K
3.184 * [backup-simplify]: Simplify U into U
3.184 * [taylor]: Taking taylor expansion of (* (pow J 2) (pow (cos (* 0.5 K)) 2)) in K
3.184 * [taylor]: Taking taylor expansion of (pow J 2) in K
3.184 * [taylor]: Taking taylor expansion of J in K
3.184 * [backup-simplify]: Simplify J into J
3.184 * [taylor]: Taking taylor expansion of (pow (cos (* 0.5 K)) 2) in K
3.184 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in K
3.184 * [taylor]: Taking taylor expansion of (* 0.5 K) in K
3.184 * [taylor]: Taking taylor expansion of 0.5 in K
3.184 * [backup-simplify]: Simplify 0.5 into 0.5
3.184 * [taylor]: Taking taylor expansion of K in K
3.184 * [backup-simplify]: Simplify 0 into 0
3.184 * [backup-simplify]: Simplify 1 into 1
3.185 * [backup-simplify]: Simplify (* 0.5 0) into 0
3.186 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5
3.186 * [backup-simplify]: Simplify (* U U) into (pow U 2)
3.186 * [backup-simplify]: Simplify (* J J) into (pow J 2)
3.187 * [backup-simplify]: Simplify (* 1 1) into 1
3.187 * [backup-simplify]: Simplify (* (pow J 2) 1) into (pow J 2)
3.187 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
3.187 * [taylor]: Taking taylor expansion of 1.0 in K
3.187 * [backup-simplify]: Simplify 1.0 into 1.0
3.188 * [backup-simplify]: Simplify (* 0.25 (/ (pow U 2) (pow J 2))) into (* 0.25 (/ (pow U 2) (pow J 2)))
3.188 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow U 2) (pow J 2))) 1.0) into (+ (* 0.25 (/ (pow U 2) (pow J 2))) 1.0)
3.188 * [backup-simplify]: Simplify (sqrt (+ (* 0.25 (/ (pow U 2) (pow J 2))) 1.0)) into (sqrt (+ (* 0.25 (/ (pow U 2) (pow J 2))) 1.0))
3.188 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
3.189 * [backup-simplify]: Simplify (+ 0) into 0
3.189 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.189 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
3.190 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (* 0 1)) into 0
3.190 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
3.191 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
3.194 * [backup-simplify]: Simplify (+ 0 0) into 0
3.195 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 0.25 (/ (pow U 2) (pow J 2))) 1.0)))) into 0
3.195 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0)) in J
3.195 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0) in J
3.195 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) in J
3.195 * [taylor]: Taking taylor expansion of 0.25 in J
3.195 * [backup-simplify]: Simplify 0.25 into 0.25
3.195 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2))) in J
3.195 * [taylor]: Taking taylor expansion of (pow U 2) in J
3.195 * [taylor]: Taking taylor expansion of U in J
3.196 * [backup-simplify]: Simplify U into U
3.196 * [taylor]: Taking taylor expansion of (* (pow J 2) (pow (cos (* 0.5 K)) 2)) in J
3.196 * [taylor]: Taking taylor expansion of (pow J 2) in J
3.196 * [taylor]: Taking taylor expansion of J in J
3.196 * [backup-simplify]: Simplify 0 into 0
3.196 * [backup-simplify]: Simplify 1 into 1
3.196 * [taylor]: Taking taylor expansion of (pow (cos (* 0.5 K)) 2) in J
3.196 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in J
3.196 * [taylor]: Taking taylor expansion of (* 0.5 K) in J
3.196 * [taylor]: Taking taylor expansion of 0.5 in J
3.196 * [backup-simplify]: Simplify 0.5 into 0.5
3.196 * [taylor]: Taking taylor expansion of K in J
3.196 * [backup-simplify]: Simplify K into K
3.196 * [backup-simplify]: Simplify (* 0.5 K) into (* 0.5 K)
3.196 * [backup-simplify]: Simplify (cos (* 0.5 K)) into (cos (* 0.5 K))
3.196 * [backup-simplify]: Simplify (sin (* 0.5 K)) into (sin (* 0.5 K))
3.196 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) 1) into (cos (* 0.5 K))
3.196 * [backup-simplify]: Simplify (* (sin (* 0.5 K)) 0) into 0
3.197 * [backup-simplify]: Simplify (- 0) into 0
3.197 * [backup-simplify]: Simplify (+ (cos (* 0.5 K)) 0) into (cos (* 0.5 K))
3.197 * [backup-simplify]: Simplify (* U U) into (pow U 2)
3.198 * [backup-simplify]: Simplify (* 1 1) into 1
3.198 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) (cos (* 0.5 K))) into (pow (cos (* 0.5 K)) 2)
3.198 * [backup-simplify]: Simplify (* 1 (pow (cos (* 0.5 K)) 2)) into (pow (cos (* 0.5 K)) 2)
3.198 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 0.5 K)) 2)) into (/ (pow U 2) (pow (cos (* 0.5 K)) 2))
3.198 * [taylor]: Taking taylor expansion of 1.0 in J
3.199 * [backup-simplify]: Simplify 1.0 into 1.0
3.199 * [backup-simplify]: Simplify (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2))) into (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2)))
3.199 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2))) 0) into (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2)))
3.200 * [backup-simplify]: Simplify (sqrt (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2)))) into (/ (* (sqrt 0.25) U) (cos (* 0.5 K)))
3.200 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
3.201 * [backup-simplify]: Simplify (+ 0) into 0
3.201 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (* 0 1)) into 0
3.202 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 K)) into 0
3.203 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.203 * [backup-simplify]: Simplify (+ (* (sin (* 0.5 K)) 0) (* 0 0)) into 0
3.204 * [backup-simplify]: Simplify (- 0) into 0
3.204 * [backup-simplify]: Simplify (+ 0 0) into 0
3.204 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (* 0 (cos (* 0.5 K)))) into 0
3.205 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.206 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (* 0.5 K)) 2))) into 0
3.207 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 0.5 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 0.5 K)) 2)) (/ 0 (pow (cos (* 0.5 K)) 2))))) into 0
3.208 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow U 2) (pow (cos (* 0.5 K)) 2)))) into 0
3.208 * [backup-simplify]: Simplify (+ 0 0) into 0
3.208 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2)))))) into 0
3.208 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0)) in U
3.208 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0) in U
3.208 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) in U
3.209 * [taylor]: Taking taylor expansion of 0.25 in U
3.209 * [backup-simplify]: Simplify 0.25 into 0.25
3.209 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2))) in U
3.209 * [taylor]: Taking taylor expansion of (pow U 2) in U
3.209 * [taylor]: Taking taylor expansion of U in U
3.209 * [backup-simplify]: Simplify 0 into 0
3.209 * [backup-simplify]: Simplify 1 into 1
3.209 * [taylor]: Taking taylor expansion of (* (pow J 2) (pow (cos (* 0.5 K)) 2)) in U
3.209 * [taylor]: Taking taylor expansion of (pow J 2) in U
3.209 * [taylor]: Taking taylor expansion of J in U
3.209 * [backup-simplify]: Simplify J into J
3.209 * [taylor]: Taking taylor expansion of (pow (cos (* 0.5 K)) 2) in U
3.209 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in U
3.209 * [taylor]: Taking taylor expansion of (* 0.5 K) in U
3.209 * [taylor]: Taking taylor expansion of 0.5 in U
3.209 * [backup-simplify]: Simplify 0.5 into 0.5
3.209 * [taylor]: Taking taylor expansion of K in U
3.209 * [backup-simplify]: Simplify K into K
3.209 * [backup-simplify]: Simplify (* 0.5 K) into (* 0.5 K)
3.209 * [backup-simplify]: Simplify (cos (* 0.5 K)) into (cos (* 0.5 K))
3.209 * [backup-simplify]: Simplify (sin (* 0.5 K)) into (sin (* 0.5 K))
3.209 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) 1) into (cos (* 0.5 K))
3.209 * [backup-simplify]: Simplify (* (sin (* 0.5 K)) 0) into 0
3.210 * [backup-simplify]: Simplify (- 0) into 0
3.210 * [backup-simplify]: Simplify (+ (cos (* 0.5 K)) 0) into (cos (* 0.5 K))
3.210 * [backup-simplify]: Simplify (* 1 1) into 1
3.211 * [backup-simplify]: Simplify (* J J) into (pow J 2)
3.211 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) (cos (* 0.5 K))) into (pow (cos (* 0.5 K)) 2)
3.211 * [backup-simplify]: Simplify (* (pow J 2) (pow (cos (* 0.5 K)) 2)) into (* (pow J 2) (pow (cos (* 0.5 K)) 2))
3.211 * [backup-simplify]: Simplify (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2))) into (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2)))
3.211 * [taylor]: Taking taylor expansion of 1.0 in U
3.211 * [backup-simplify]: Simplify 1.0 into 1.0
3.212 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
3.212 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
3.213 * [backup-simplify]: Simplify (+ 0 0) into 0
3.213 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
3.213 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0)) in U
3.214 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0) in U
3.214 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) in U
3.214 * [taylor]: Taking taylor expansion of 0.25 in U
3.214 * [backup-simplify]: Simplify 0.25 into 0.25
3.214 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2))) in U
3.214 * [taylor]: Taking taylor expansion of (pow U 2) in U
3.214 * [taylor]: Taking taylor expansion of U in U
3.214 * [backup-simplify]: Simplify 0 into 0
3.214 * [backup-simplify]: Simplify 1 into 1
3.214 * [taylor]: Taking taylor expansion of (* (pow J 2) (pow (cos (* 0.5 K)) 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 (* 0.5 K)) 2) in U
3.214 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in U
3.214 * [taylor]: Taking taylor expansion of (* 0.5 K) in U
3.214 * [taylor]: Taking taylor expansion of 0.5 in U
3.214 * [backup-simplify]: Simplify 0.5 into 0.5
3.214 * [taylor]: Taking taylor expansion of K in U
3.214 * [backup-simplify]: Simplify K into K
3.214 * [backup-simplify]: Simplify (* 0.5 K) into (* 0.5 K)
3.214 * [backup-simplify]: Simplify (cos (* 0.5 K)) into (cos (* 0.5 K))
3.214 * [backup-simplify]: Simplify (sin (* 0.5 K)) into (sin (* 0.5 K))
3.214 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) 1) into (cos (* 0.5 K))
3.215 * [backup-simplify]: Simplify (* (sin (* 0.5 K)) 0) into 0
3.215 * [backup-simplify]: Simplify (- 0) into 0
3.215 * [backup-simplify]: Simplify (+ (cos (* 0.5 K)) 0) into (cos (* 0.5 K))
3.216 * [backup-simplify]: Simplify (* 1 1) into 1
3.216 * [backup-simplify]: Simplify (* J J) into (pow J 2)
3.216 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) (cos (* 0.5 K))) into (pow (cos (* 0.5 K)) 2)
3.216 * [backup-simplify]: Simplify (* (pow J 2) (pow (cos (* 0.5 K)) 2)) into (* (pow J 2) (pow (cos (* 0.5 K)) 2))
3.216 * [backup-simplify]: Simplify (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2))) into (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2)))
3.217 * [taylor]: Taking taylor expansion of 1.0 in U
3.217 * [backup-simplify]: Simplify 1.0 into 1.0
3.217 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
3.217 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
3.218 * [backup-simplify]: Simplify (+ 0 0) into 0
3.219 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
3.219 * [taylor]: Taking taylor expansion of (sqrt 1.0) in J
3.219 * [taylor]: Taking taylor expansion of 1.0 in J
3.219 * [backup-simplify]: Simplify 1.0 into 1.0
3.219 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
3.220 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
3.220 * [taylor]: Taking taylor expansion of 0 in J
3.220 * [backup-simplify]: Simplify 0 into 0
3.220 * [taylor]: Taking taylor expansion of (sqrt 1.0) in K
3.220 * [taylor]: Taking taylor expansion of 1.0 in K
3.220 * [backup-simplify]: Simplify 1.0 into 1.0
3.221 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
3.221 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
3.222 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
3.222 * [backup-simplify]: Simplify (* 0.25 (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) into (/ 0.25 (* (pow J 2) (pow (cos (* 0.5 K)) 2)))
3.223 * [backup-simplify]: Simplify (+ (/ 0.25 (* (pow J 2) (pow (cos (* 0.5 K)) 2))) 0) into (* 0.25 (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2))))
3.225 * [backup-simplify]: Simplify (/ (- (* 0.25 (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ 0.125 (* (sqrt 1.0) (* (pow J 2) (pow (cos (* 0.5 K)) 2))))
3.225 * [taylor]: Taking taylor expansion of (/ 0.125 (* (sqrt 1.0) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) in J
3.225 * [taylor]: Taking taylor expansion of 0.125 in J
3.225 * [backup-simplify]: Simplify 0.125 into 0.125
3.225 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (* (pow J 2) (pow (cos (* 0.5 K)) 2))) in J
3.225 * [taylor]: Taking taylor expansion of (sqrt 1.0) in J
3.225 * [taylor]: Taking taylor expansion of 1.0 in J
3.225 * [backup-simplify]: Simplify 1.0 into 1.0
3.226 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
3.227 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
3.227 * [taylor]: Taking taylor expansion of (* (pow J 2) (pow (cos (* 0.5 K)) 2)) in J
3.227 * [taylor]: Taking taylor expansion of (pow J 2) in J
3.227 * [taylor]: Taking taylor expansion of J in J
3.227 * [backup-simplify]: Simplify 0 into 0
3.227 * [backup-simplify]: Simplify 1 into 1
3.227 * [taylor]: Taking taylor expansion of (pow (cos (* 0.5 K)) 2) in J
3.227 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in J
3.227 * [taylor]: Taking taylor expansion of (* 0.5 K) in J
3.227 * [taylor]: Taking taylor expansion of 0.5 in J
3.227 * [backup-simplify]: Simplify 0.5 into 0.5
3.227 * [taylor]: Taking taylor expansion of K in J
3.227 * [backup-simplify]: Simplify K into K
3.227 * [backup-simplify]: Simplify (* 0.5 K) into (* 0.5 K)
3.227 * [backup-simplify]: Simplify (cos (* 0.5 K)) into (cos (* 0.5 K))
3.227 * [backup-simplify]: Simplify (sin (* 0.5 K)) into (sin (* 0.5 K))
3.227 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) 1) into (cos (* 0.5 K))
3.228 * [backup-simplify]: Simplify (* (sin (* 0.5 K)) 0) into 0
3.228 * [backup-simplify]: Simplify (- 0) into 0
3.228 * [backup-simplify]: Simplify (+ (cos (* 0.5 K)) 0) into (cos (* 0.5 K))
3.229 * [backup-simplify]: Simplify (* 1 1) into 1
3.229 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) (cos (* 0.5 K))) into (pow (cos (* 0.5 K)) 2)
3.229 * [backup-simplify]: Simplify (* 1 (pow (cos (* 0.5 K)) 2)) into (pow (cos (* 0.5 K)) 2)
3.230 * [backup-simplify]: Simplify (* (sqrt 1.0) (pow (cos (* 0.5 K)) 2)) into (* (sqrt 1.0) (pow (cos (* 0.5 K)) 2))
3.230 * [backup-simplify]: Simplify (/ 0.125 (* (sqrt 1.0) (pow (cos (* 0.5 K)) 2))) into (/ 0.125 (* (sqrt 1.0) (pow (cos (* 0.5 K)) 2)))
3.231 * [backup-simplify]: Simplify (+ 0) into 0
3.231 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (* 0 1)) into 0
3.232 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 K)) into 0
3.233 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.233 * [backup-simplify]: Simplify (+ (* (sin (* 0.5 K)) 0) (* 0 0)) into 0
3.233 * [backup-simplify]: Simplify (- 0) into 0
3.234 * [backup-simplify]: Simplify (+ 0 0) into 0
3.234 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (* 0 (cos (* 0.5 K)))) into 0
3.235 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.235 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (* 0.5 K)) 2))) into 0
3.236 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (pow (cos (* 0.5 K)) 2))) into 0
3.238 * [backup-simplify]: Simplify (- (/ 0 (* (sqrt 1.0) (pow (cos (* 0.5 K)) 2))) (+ (* (/ 0.125 (* (sqrt 1.0) (pow (cos (* 0.5 K)) 2))) (/ 0 (* (sqrt 1.0) (pow (cos (* 0.5 K)) 2)))))) into 0
3.238 * [taylor]: Taking taylor expansion of 0 in K
3.238 * [backup-simplify]: Simplify 0 into 0
3.238 * [backup-simplify]: Simplify 0 into 0
3.238 * [taylor]: Taking taylor expansion of 0 in K
3.238 * [backup-simplify]: Simplify 0 into 0
3.238 * [backup-simplify]: Simplify 0 into 0
3.238 * [taylor]: Taking taylor expansion of 0 in K
3.238 * [backup-simplify]: Simplify 0 into 0
3.238 * [backup-simplify]: Simplify 0 into 0
3.238 * [backup-simplify]: Simplify 0 into 0
3.239 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.240 * [backup-simplify]: Simplify (+ 0) into 0
3.240 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (* 0 1)) into 0
3.241 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 K)) into 0
3.241 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.242 * [backup-simplify]: Simplify (+ (* (sin (* 0.5 K)) 0) (* 0 0)) into 0
3.242 * [backup-simplify]: Simplify (- 0) into 0
3.243 * [backup-simplify]: Simplify (+ 0 0) into 0
3.243 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (* 0 (cos (* 0.5 K)))) into 0
3.243 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
3.243 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (* 0 (pow (cos (* 0.5 K)) 2))) into 0
3.244 * [backup-simplify]: Simplify (- (/ 0 (* (pow J 2) (pow (cos (* 0.5 K)) 2))) (+ (* (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2))) (/ 0 (* (pow J 2) (pow (cos (* 0.5 K)) 2)))))) into 0
3.245 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2))))) into 0
3.246 * [backup-simplify]: Simplify (+ 0 0) into 0
3.248 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.125 (* (sqrt 1.0) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))))))) (* 2 (sqrt 1.0))) into 0
3.248 * [taylor]: Taking taylor expansion of 0 in J
3.248 * [backup-simplify]: Simplify 0 into 0
3.249 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.249 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (+ (* 0 0) (* 0 1))) into 0
3.250 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 K))) into 0
3.251 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.252 * [backup-simplify]: Simplify (+ (* (sin (* 0.5 K)) 0) (+ (* 0 0) (* 0 0))) into 0
3.252 * [backup-simplify]: Simplify (- 0) into 0
3.253 * [backup-simplify]: Simplify (+ 0 0) into 0
3.253 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (+ (* 0 0) (* 0 (cos (* 0.5 K))))) into 0
3.254 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (* 0.5 K)) 2)))) into 0
3.257 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
3.258 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* 0 (pow (cos (* 0.5 K)) 2)))) into 0
3.260 * [backup-simplify]: Simplify (- (/ 0 (* (sqrt 1.0) (pow (cos (* 0.5 K)) 2))) (+ (* (/ 0.125 (* (sqrt 1.0) (pow (cos (* 0.5 K)) 2))) (/ 0 (* (sqrt 1.0) (pow (cos (* 0.5 K)) 2)))) (* 0 (/ 0 (* (sqrt 1.0) (pow (cos (* 0.5 K)) 2)))))) into 0
3.260 * [taylor]: Taking taylor expansion of 0 in K
3.260 * [backup-simplify]: Simplify 0 into 0
3.260 * [backup-simplify]: Simplify 0 into 0
3.260 * [taylor]: Taking taylor expansion of 0 in K
3.260 * [backup-simplify]: Simplify 0 into 0
3.261 * [backup-simplify]: Simplify 0 into 0
3.261 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
3.262 * [backup-simplify]: Simplify (sqrt (+ 1.0 (pow (/ (/ 1 U) (* (* 2.0 (/ 1 J)) (cos (/ (/ 1 K) 2.0)))) 2.0))) into (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0))
3.262 * [approximate]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) in (U J K) around 0
3.262 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) in K
3.262 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0) in K
3.262 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) in K
3.262 * [taylor]: Taking taylor expansion of 0.25 in K
3.262 * [backup-simplify]: Simplify 0.25 into 0.25
3.262 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))) in K
3.262 * [taylor]: Taking taylor expansion of (pow J 2) in K
3.262 * [taylor]: Taking taylor expansion of J in K
3.262 * [backup-simplify]: Simplify J into J
3.262 * [taylor]: Taking taylor expansion of (* (pow (cos (/ 0.5 K)) 2) (pow U 2)) in K
3.262 * [taylor]: Taking taylor expansion of (pow (cos (/ 0.5 K)) 2) in K
3.262 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in K
3.262 * [taylor]: Taking taylor expansion of (/ 0.5 K) in K
3.262 * [taylor]: Taking taylor expansion of 0.5 in K
3.262 * [backup-simplify]: Simplify 0.5 into 0.5
3.262 * [taylor]: Taking taylor expansion of K in K
3.262 * [backup-simplify]: Simplify 0 into 0
3.262 * [backup-simplify]: Simplify 1 into 1
3.263 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5
3.263 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
3.263 * [taylor]: Taking taylor expansion of (pow U 2) in K
3.263 * [taylor]: Taking taylor expansion of U in K
3.263 * [backup-simplify]: Simplify U into U
3.263 * [backup-simplify]: Simplify (* J J) into (pow J 2)
3.263 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) (cos (/ 0.5 K))) into (pow (cos (/ 0.5 K)) 2)
3.263 * [backup-simplify]: Simplify (* U U) into (pow U 2)
3.264 * [backup-simplify]: Simplify (* (pow (cos (/ 0.5 K)) 2) (pow U 2)) into (* (pow U 2) (pow (cos (/ 0.5 K)) 2))
3.264 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 0.5 K)) 2))) into (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))
3.264 * [taylor]: Taking taylor expansion of 1.0 in K
3.264 * [backup-simplify]: Simplify 1.0 into 1.0
3.265 * [backup-simplify]: Simplify (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) into (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))))
3.265 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0) into (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)
3.266 * [backup-simplify]: Simplify (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) into (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0))
3.266 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
3.266 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
3.266 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 (cos (/ 0.5 K)))) into 0
3.267 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 0.5 K)) 2) 0) (* 0 (pow U 2))) into 0
3.268 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 0.5 K)) 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))) (/ 0 (* (pow U 2) (pow (cos (/ 0.5 K)) 2)))))) into 0
3.269 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))))) into 0
3.270 * [backup-simplify]: Simplify (+ 0 0) into 0
3.270 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)))) into 0
3.270 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) in J
3.271 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0) in J
3.271 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) in J
3.271 * [taylor]: Taking taylor expansion of 0.25 in J
3.271 * [backup-simplify]: Simplify 0.25 into 0.25
3.271 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))) in J
3.271 * [taylor]: Taking taylor expansion of (pow J 2) in J
3.271 * [taylor]: Taking taylor expansion of J in J
3.271 * [backup-simplify]: Simplify 0 into 0
3.271 * [backup-simplify]: Simplify 1 into 1
3.271 * [taylor]: Taking taylor expansion of (* (pow (cos (/ 0.5 K)) 2) (pow U 2)) in J
3.271 * [taylor]: Taking taylor expansion of (pow (cos (/ 0.5 K)) 2) in J
3.271 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in J
3.271 * [taylor]: Taking taylor expansion of (/ 0.5 K) in J
3.271 * [taylor]: Taking taylor expansion of 0.5 in J
3.271 * [backup-simplify]: Simplify 0.5 into 0.5
3.271 * [taylor]: Taking taylor expansion of K in J
3.271 * [backup-simplify]: Simplify K into K
3.271 * [backup-simplify]: Simplify (/ 0.5 K) into (/ 0.5 K)
3.272 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
3.272 * [backup-simplify]: Simplify (sin (/ 0.5 K)) into (sin (/ 0.5 K))
3.272 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
3.272 * [backup-simplify]: Simplify (* (sin (/ 0.5 K)) 0) into 0
3.272 * [backup-simplify]: Simplify (- 0) into 0
3.272 * [backup-simplify]: Simplify (+ (cos (/ 0.5 K)) 0) into (cos (/ 0.5 K))
3.272 * [taylor]: Taking taylor expansion of (pow U 2) in J
3.272 * [taylor]: Taking taylor expansion of U in J
3.272 * [backup-simplify]: Simplify U into U
3.273 * [backup-simplify]: Simplify (* 1 1) into 1
3.273 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) (cos (/ 0.5 K))) into (pow (cos (/ 0.5 K)) 2)
3.273 * [backup-simplify]: Simplify (* U U) into (pow U 2)
3.273 * [backup-simplify]: Simplify (* (pow (cos (/ 0.5 K)) 2) (pow U 2)) into (* (pow U 2) (pow (cos (/ 0.5 K)) 2))
3.273 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 0.5 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 0.5 K)) 2)))
3.273 * [taylor]: Taking taylor expansion of 1.0 in J
3.273 * [backup-simplify]: Simplify 1.0 into 1.0
3.274 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
3.274 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
3.274 * [backup-simplify]: Simplify (+ 0 0) into 0
3.275 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
3.275 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) in U
3.275 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0) in U
3.275 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) in U
3.275 * [taylor]: Taking taylor expansion of 0.25 in U
3.275 * [backup-simplify]: Simplify 0.25 into 0.25
3.275 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))) in U
3.275 * [taylor]: Taking taylor expansion of (pow J 2) in U
3.275 * [taylor]: Taking taylor expansion of J in U
3.275 * [backup-simplify]: Simplify J into J
3.275 * [taylor]: Taking taylor expansion of (* (pow (cos (/ 0.5 K)) 2) (pow U 2)) in U
3.275 * [taylor]: Taking taylor expansion of (pow (cos (/ 0.5 K)) 2) in U
3.275 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in U
3.275 * [taylor]: Taking taylor expansion of (/ 0.5 K) in U
3.275 * [taylor]: Taking taylor expansion of 0.5 in U
3.275 * [backup-simplify]: Simplify 0.5 into 0.5
3.275 * [taylor]: Taking taylor expansion of K in U
3.275 * [backup-simplify]: Simplify K into K
3.275 * [backup-simplify]: Simplify (/ 0.5 K) into (/ 0.5 K)
3.275 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
3.275 * [backup-simplify]: Simplify (sin (/ 0.5 K)) into (sin (/ 0.5 K))
3.275 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
3.275 * [backup-simplify]: Simplify (* (sin (/ 0.5 K)) 0) into 0
3.276 * [backup-simplify]: Simplify (- 0) into 0
3.276 * [backup-simplify]: Simplify (+ (cos (/ 0.5 K)) 0) into (cos (/ 0.5 K))
3.276 * [taylor]: Taking taylor expansion of (pow U 2) in U
3.276 * [taylor]: Taking taylor expansion of U in U
3.276 * [backup-simplify]: Simplify 0 into 0
3.276 * [backup-simplify]: Simplify 1 into 1
3.276 * [backup-simplify]: Simplify (* J J) into (pow J 2)
3.276 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) (cos (/ 0.5 K))) into (pow (cos (/ 0.5 K)) 2)
3.276 * [backup-simplify]: Simplify (* 1 1) into 1
3.276 * [backup-simplify]: Simplify (* (pow (cos (/ 0.5 K)) 2) 1) into (pow (cos (/ 0.5 K)) 2)
3.276 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)) into (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))
3.276 * [taylor]: Taking taylor expansion of 1.0 in U
3.276 * [backup-simplify]: Simplify 1.0 into 1.0
3.277 * [backup-simplify]: Simplify (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))) into (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))
3.277 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))) 0) into (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))
3.277 * [backup-simplify]: Simplify (sqrt (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) into (/ (* (sqrt 0.25) J) (cos (/ 0.5 K)))
3.277 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
3.278 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.278 * [backup-simplify]: Simplify (+ 0) into 0
3.278 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 1)) into 0
3.278 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)))) into 0
3.279 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.279 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (* 0 0)) into 0
3.279 * [backup-simplify]: Simplify (- 0) into 0
3.280 * [backup-simplify]: Simplify (+ 0 0) into 0
3.280 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 (cos (/ 0.5 K)))) into 0
3.280 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 0.5 K)) 2) 0) (* 0 1)) into 0
3.280 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 0.5 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)) (/ 0 (pow (cos (/ 0.5 K)) 2))))) into 0
3.281 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) into 0
3.281 * [backup-simplify]: Simplify (+ 0 0) into 0
3.281 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))))) into 0
3.281 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) in U
3.281 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0) in U
3.281 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) in U
3.281 * [taylor]: Taking taylor expansion of 0.25 in U
3.282 * [backup-simplify]: Simplify 0.25 into 0.25
3.282 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))) in U
3.282 * [taylor]: Taking taylor expansion of (pow J 2) in U
3.282 * [taylor]: Taking taylor expansion of J in U
3.282 * [backup-simplify]: Simplify J into J
3.282 * [taylor]: Taking taylor expansion of (* (pow (cos (/ 0.5 K)) 2) (pow U 2)) in U
3.282 * [taylor]: Taking taylor expansion of (pow (cos (/ 0.5 K)) 2) in U
3.282 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in U
3.282 * [taylor]: Taking taylor expansion of (/ 0.5 K) in U
3.282 * [taylor]: Taking taylor expansion of 0.5 in U
3.282 * [backup-simplify]: Simplify 0.5 into 0.5
3.282 * [taylor]: Taking taylor expansion of K in U
3.282 * [backup-simplify]: Simplify K into K
3.282 * [backup-simplify]: Simplify (/ 0.5 K) into (/ 0.5 K)
3.282 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
3.282 * [backup-simplify]: Simplify (sin (/ 0.5 K)) into (sin (/ 0.5 K))
3.282 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
3.282 * [backup-simplify]: Simplify (* (sin (/ 0.5 K)) 0) into 0
3.282 * [backup-simplify]: Simplify (- 0) into 0
3.282 * [backup-simplify]: Simplify (+ (cos (/ 0.5 K)) 0) into (cos (/ 0.5 K))
3.282 * [taylor]: Taking taylor expansion of (pow U 2) in U
3.282 * [taylor]: Taking taylor expansion of U in U
3.282 * [backup-simplify]: Simplify 0 into 0
3.282 * [backup-simplify]: Simplify 1 into 1
3.282 * [backup-simplify]: Simplify (* J J) into (pow J 2)
3.282 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) (cos (/ 0.5 K))) into (pow (cos (/ 0.5 K)) 2)
3.283 * [backup-simplify]: Simplify (* 1 1) into 1
3.283 * [backup-simplify]: Simplify (* (pow (cos (/ 0.5 K)) 2) 1) into (pow (cos (/ 0.5 K)) 2)
3.283 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)) into (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))
3.283 * [taylor]: Taking taylor expansion of 1.0 in U
3.283 * [backup-simplify]: Simplify 1.0 into 1.0
3.283 * [backup-simplify]: Simplify (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))) into (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))
3.283 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))) 0) into (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))
3.284 * [backup-simplify]: Simplify (sqrt (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) into (/ (* (sqrt 0.25) J) (cos (/ 0.5 K)))
3.284 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
3.284 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.284 * [backup-simplify]: Simplify (+ 0) into 0
3.285 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 1)) into 0
3.285 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)))) into 0
3.285 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.286 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (* 0 0)) into 0
3.286 * [backup-simplify]: Simplify (- 0) into 0
3.286 * [backup-simplify]: Simplify (+ 0 0) into 0
3.286 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 (cos (/ 0.5 K)))) into 0
3.287 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 0.5 K)) 2) 0) (* 0 1)) into 0
3.287 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 0.5 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)) (/ 0 (pow (cos (/ 0.5 K)) 2))))) into 0
3.288 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) into 0
3.288 * [backup-simplify]: Simplify (+ 0 0) into 0
3.288 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))))) into 0
3.288 * [taylor]: Taking taylor expansion of (/ (* (sqrt 0.25) J) (cos (/ 0.5 K))) in J
3.288 * [taylor]: Taking taylor expansion of (* (sqrt 0.25) J) in J
3.288 * [taylor]: Taking taylor expansion of (sqrt 0.25) in J
3.288 * [taylor]: Taking taylor expansion of 0.25 in J
3.288 * [backup-simplify]: Simplify 0.25 into 0.25
3.289 * [backup-simplify]: Simplify (sqrt 0.25) into (sqrt 0.25)
3.289 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.25))) into 0
3.289 * [taylor]: Taking taylor expansion of J in J
3.289 * [backup-simplify]: Simplify 0 into 0
3.289 * [backup-simplify]: Simplify 1 into 1
3.289 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in J
3.289 * [taylor]: Taking taylor expansion of (/ 0.5 K) in J
3.289 * [taylor]: Taking taylor expansion of 0.5 in J
3.289 * [backup-simplify]: Simplify 0.5 into 0.5
3.289 * [taylor]: Taking taylor expansion of K in J
3.289 * [backup-simplify]: Simplify K into K
3.289 * [backup-simplify]: Simplify (/ 0.5 K) into (/ 0.5 K)
3.289 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
3.289 * [backup-simplify]: Simplify (sin (/ 0.5 K)) into (sin (/ 0.5 K))
3.290 * [backup-simplify]: Simplify (* (sqrt 0.25) 0) into 0
3.291 * [backup-simplify]: Simplify (+ (* (sqrt 0.25) 1) (* 0 0)) into (sqrt 0.25)
3.291 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
3.291 * [backup-simplify]: Simplify (* (sin (/ 0.5 K)) 0) into 0
3.291 * [backup-simplify]: Simplify (- 0) into 0
3.291 * [backup-simplify]: Simplify (+ (cos (/ 0.5 K)) 0) into (cos (/ 0.5 K))
3.292 * [backup-simplify]: Simplify (/ (sqrt 0.25) (cos (/ 0.5 K))) into (/ (sqrt 0.25) (cos (/ 0.5 K)))
3.292 * [taylor]: Taking taylor expansion of 0 in J
3.292 * [backup-simplify]: Simplify 0 into 0
3.292 * [taylor]: Taking taylor expansion of 0 in K
3.292 * [backup-simplify]: Simplify 0 into 0
3.292 * [backup-simplify]: Simplify 0 into 0
3.292 * [taylor]: Taking taylor expansion of (/ (sqrt 0.25) (cos (/ 0.5 K))) in K
3.292 * [taylor]: Taking taylor expansion of (sqrt 0.25) in K
3.292 * [taylor]: Taking taylor expansion of 0.25 in K
3.292 * [backup-simplify]: Simplify 0.25 into 0.25
3.292 * [backup-simplify]: Simplify (sqrt 0.25) into (sqrt 0.25)
3.293 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.25))) into 0
3.293 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in K
3.293 * [taylor]: Taking taylor expansion of (/ 0.5 K) in K
3.293 * [taylor]: Taking taylor expansion of 0.5 in K
3.293 * [backup-simplify]: Simplify 0.5 into 0.5
3.293 * [taylor]: Taking taylor expansion of K in K
3.293 * [backup-simplify]: Simplify 0 into 0
3.293 * [backup-simplify]: Simplify 1 into 1
3.293 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5
3.293 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
3.293 * [backup-simplify]: Simplify (/ (sqrt 0.25) (cos (/ 0.5 K))) into (/ (sqrt 0.25) (cos (/ 0.5 K)))
3.294 * [backup-simplify]: Simplify (/ (sqrt 0.25) (cos (/ 0.5 K))) into (/ (sqrt 0.25) (cos (/ 0.5 K)))
3.294 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
3.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.295 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.296 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (+ (* 0 0) (* 0 1))) into 0
3.296 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
3.296 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.297 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (+ (* 0 0) (* 0 0))) into 0
3.297 * [backup-simplify]: Simplify (- 0) into 0
3.297 * [backup-simplify]: Simplify (+ 0 0) into 0
3.297 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (+ (* 0 0) (* 0 (cos (/ 0.5 K))))) into 0
3.298 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 0.5 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
3.299 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 0.5 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)) (/ 0 (pow (cos (/ 0.5 K)) 2))) (* 0 (/ 0 (pow (cos (/ 0.5 K)) 2))))) into 0
3.299 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))))) into 0
3.299 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
3.301 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (/ (* (sqrt 0.25) J) (cos (/ 0.5 K))))) into (* 0.5 (/ (cos (/ 0.5 K)) (* (sqrt 0.25) J)))
3.301 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 0.5 K)) (* (sqrt 0.25) J))) in J
3.301 * [taylor]: Taking taylor expansion of 0.5 in J
3.301 * [backup-simplify]: Simplify 0.5 into 0.5
3.301 * [taylor]: Taking taylor expansion of (/ (cos (/ 0.5 K)) (* (sqrt 0.25) J)) in J
3.301 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in J
3.301 * [taylor]: Taking taylor expansion of (/ 0.5 K) in J
3.301 * [taylor]: Taking taylor expansion of 0.5 in J
3.301 * [backup-simplify]: Simplify 0.5 into 0.5
3.301 * [taylor]: Taking taylor expansion of K in J
3.301 * [backup-simplify]: Simplify K into K
3.301 * [backup-simplify]: Simplify (/ 0.5 K) into (/ 0.5 K)
3.301 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
3.301 * [backup-simplify]: Simplify (sin (/ 0.5 K)) into (sin (/ 0.5 K))
3.301 * [taylor]: Taking taylor expansion of (* (sqrt 0.25) J) in J
3.301 * [taylor]: Taking taylor expansion of (sqrt 0.25) in J
3.301 * [taylor]: Taking taylor expansion of 0.25 in J
3.301 * [backup-simplify]: Simplify 0.25 into 0.25
3.301 * [backup-simplify]: Simplify (sqrt 0.25) into (sqrt 0.25)
3.302 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.25))) into 0
3.302 * [taylor]: Taking taylor expansion of J in J
3.302 * [backup-simplify]: Simplify 0 into 0
3.302 * [backup-simplify]: Simplify 1 into 1
3.302 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
3.302 * [backup-simplify]: Simplify (* (sin (/ 0.5 K)) 0) into 0
3.302 * [backup-simplify]: Simplify (- 0) into 0
3.302 * [backup-simplify]: Simplify (+ (cos (/ 0.5 K)) 0) into (cos (/ 0.5 K))
3.303 * [backup-simplify]: Simplify (* (sqrt 0.25) 0) into 0
3.304 * [backup-simplify]: Simplify (+ (* (sqrt 0.25) 1) (* 0 0)) into (sqrt 0.25)
3.304 * [backup-simplify]: Simplify (/ (cos (/ 0.5 K)) (sqrt 0.25)) into (/ (cos (/ 0.5 K)) (sqrt 0.25))
3.304 * [backup-simplify]: Simplify (+ 0) into 0
3.305 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 1)) into 0
3.305 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)))) into 0
3.305 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.306 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 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 (pow 0 2) (+)) (* 2 (sqrt 0.25))) into 0
3.307 * [backup-simplify]: Simplify (+ (* (sqrt 0.25) 0) (+ (* 0 1) (* 0 0))) into 0
3.309 * [backup-simplify]: Simplify (- (/ 0 (sqrt 0.25)) (+ (* (/ (cos (/ 0.5 K)) (sqrt 0.25)) (/ 0 (sqrt 0.25))))) into 0
3.310 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ (cos (/ 0.5 K)) (sqrt 0.25)))) into 0
3.310 * [taylor]: Taking taylor expansion of 0 in K
3.310 * [backup-simplify]: Simplify 0 into 0
3.310 * [backup-simplify]: Simplify 0 into 0
3.310 * [taylor]: Taking taylor expansion of 0 in K
3.310 * [backup-simplify]: Simplify 0 into 0
3.310 * [backup-simplify]: Simplify 0 into 0
3.311 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.25))) into 0
3.312 * [backup-simplify]: Simplify (+ (* (sqrt 0.25) 0) (+ (* 0 1) (* 0 0))) into 0
3.313 * [backup-simplify]: Simplify (+ 0) into 0
3.313 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 1)) into 0
3.313 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)))) into 0
3.314 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.315 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (* 0 0)) into 0
3.315 * [backup-simplify]: Simplify (- 0) into 0
3.316 * [backup-simplify]: Simplify (+ 0 0) into 0
3.316 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 0.5 K))) (+ (* (/ (sqrt 0.25) (cos (/ 0.5 K))) (/ 0 (cos (/ 0.5 K)))))) into 0
3.316 * [taylor]: Taking taylor expansion of 0 in K
3.316 * [backup-simplify]: Simplify 0 into 0
3.316 * [backup-simplify]: Simplify 0 into 0
3.316 * [backup-simplify]: Simplify 0 into 0
3.317 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 0.5 K))) (+ (* (/ (sqrt 0.25) (cos (/ 0.5 K))) (/ 0 (cos (/ 0.5 K)))))) into 0
3.317 * [backup-simplify]: Simplify 0 into 0
3.318 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
3.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.320 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.321 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.321 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
3.323 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
3.324 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
3.324 * [backup-simplify]: Simplify (- 0) into 0
3.325 * [backup-simplify]: Simplify (+ 0 0) into 0
3.326 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 0.5 K)))))) into 0
3.327 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 0.5 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.328 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 0.5 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)) (/ 0 (pow (cos (/ 0.5 K)) 2))) (* 0 (/ 0 (pow (cos (/ 0.5 K)) 2))) (* 0 (/ 0 (pow (cos (/ 0.5 K)) 2))))) into 0
3.329 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))))) into 0
3.330 * [backup-simplify]: Simplify (+ 0 0) into 0
3.331 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 0.5 (/ (cos (/ 0.5 K)) (* (sqrt 0.25) J))))))) (* 2 (/ (* (sqrt 0.25) J) (cos (/ 0.5 K))))) into 0
3.331 * [taylor]: Taking taylor expansion of 0 in J
3.331 * [backup-simplify]: Simplify 0 into 0
3.331 * [taylor]: Taking taylor expansion of 0 in K
3.331 * [backup-simplify]: Simplify 0 into 0
3.331 * [backup-simplify]: Simplify 0 into 0
3.332 * [backup-simplify]: Simplify (* (/ (sqrt 0.25) (cos (/ 0.5 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (/ (* (sqrt 0.25) U) (* (cos (* 0.5 K)) J))
3.332 * [backup-simplify]: Simplify (sqrt (+ 1.0 (pow (/ (/ 1 (- U)) (* (* 2.0 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2.0)))) 2.0))) into (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0))
3.333 * [approximate]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)) in (U J K) around 0
3.333 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)) in K
3.333 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0) in K
3.333 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) in K
3.333 * [taylor]: Taking taylor expansion of 0.25 in K
3.333 * [backup-simplify]: Simplify 0.25 into 0.25
3.333 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) in K
3.333 * [taylor]: Taking taylor expansion of (pow J 2) in K
3.333 * [taylor]: Taking taylor expansion of J in K
3.333 * [backup-simplify]: Simplify J into J
3.333 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -0.5 K)) 2) (pow U 2)) in K
3.333 * [taylor]: Taking taylor expansion of (pow (cos (/ -0.5 K)) 2) in K
3.333 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in K
3.333 * [taylor]: Taking taylor expansion of (/ -0.5 K) in K
3.333 * [taylor]: Taking taylor expansion of -0.5 in K
3.333 * [backup-simplify]: Simplify -0.5 into -0.5
3.333 * [taylor]: Taking taylor expansion of K in K
3.333 * [backup-simplify]: Simplify 0 into 0
3.333 * [backup-simplify]: Simplify 1 into 1
3.334 * [backup-simplify]: Simplify (/ -0.5 1) into -0.5
3.334 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
3.334 * [taylor]: Taking taylor expansion of (pow U 2) in K
3.334 * [taylor]: Taking taylor expansion of U in K
3.334 * [backup-simplify]: Simplify U into U
3.334 * [backup-simplify]: Simplify (* J J) into (pow J 2)
3.334 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) (cos (/ -0.5 K))) into (pow (cos (/ -0.5 K)) 2)
3.334 * [backup-simplify]: Simplify (* U U) into (pow U 2)
3.334 * [backup-simplify]: Simplify (* (pow (cos (/ -0.5 K)) 2) (pow U 2)) into (* (pow (cos (/ -0.5 K)) 2) (pow U 2))
3.335 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))
3.335 * [taylor]: Taking taylor expansion of 1.0 in K
3.335 * [backup-simplify]: Simplify 1.0 into 1.0
3.335 * [backup-simplify]: Simplify (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) into (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))))
3.336 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0) into (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)
3.337 * [backup-simplify]: Simplify (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)) into (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0))
3.337 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
3.337 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
3.337 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 (cos (/ -0.5 K)))) into 0
3.338 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -0.5 K)) 2) 0) (* 0 (pow U 2))) into 0
3.339 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))))) into 0
3.340 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))))) into 0
3.340 * [backup-simplify]: Simplify (+ 0 0) into 0
3.341 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)))) into 0
3.341 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)) in J
3.341 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0) in J
3.341 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) in J
3.341 * [taylor]: Taking taylor expansion of 0.25 in J
3.341 * [backup-simplify]: Simplify 0.25 into 0.25
3.341 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) in J
3.341 * [taylor]: Taking taylor expansion of (pow J 2) in J
3.341 * [taylor]: Taking taylor expansion of J in J
3.341 * [backup-simplify]: Simplify 0 into 0
3.341 * [backup-simplify]: Simplify 1 into 1
3.341 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -0.5 K)) 2) (pow U 2)) in J
3.341 * [taylor]: Taking taylor expansion of (pow (cos (/ -0.5 K)) 2) in J
3.341 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in J
3.341 * [taylor]: Taking taylor expansion of (/ -0.5 K) in J
3.341 * [taylor]: Taking taylor expansion of -0.5 in J
3.342 * [backup-simplify]: Simplify -0.5 into -0.5
3.342 * [taylor]: Taking taylor expansion of K in J
3.342 * [backup-simplify]: Simplify K into K
3.342 * [backup-simplify]: Simplify (/ -0.5 K) into (/ -0.5 K)
3.342 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
3.342 * [backup-simplify]: Simplify (sin (/ -0.5 K)) into (sin (/ -0.5 K))
3.342 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
3.342 * [backup-simplify]: Simplify (* (sin (/ -0.5 K)) 0) into 0
3.345 * [backup-simplify]: Simplify (- 0) into 0
3.345 * [backup-simplify]: Simplify (+ (cos (/ -0.5 K)) 0) into (cos (/ -0.5 K))
3.345 * [taylor]: Taking taylor expansion of (pow U 2) in J
3.345 * [taylor]: Taking taylor expansion of U in J
3.345 * [backup-simplify]: Simplify U into U
3.346 * [backup-simplify]: Simplify (* 1 1) into 1
3.346 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) (cos (/ -0.5 K))) into (pow (cos (/ -0.5 K)) 2)
3.346 * [backup-simplify]: Simplify (* U U) into (pow U 2)
3.346 * [backup-simplify]: Simplify (* (pow (cos (/ -0.5 K)) 2) (pow U 2)) into (* (pow (cos (/ -0.5 K)) 2) (pow U 2))
3.347 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))
3.347 * [taylor]: Taking taylor expansion of 1.0 in J
3.347 * [backup-simplify]: Simplify 1.0 into 1.0
3.347 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
3.348 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
3.348 * [backup-simplify]: Simplify (+ 0 0) into 0
3.349 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
3.349 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)) in U
3.349 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0) in U
3.349 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) in U
3.349 * [taylor]: Taking taylor expansion of 0.25 in U
3.349 * [backup-simplify]: Simplify 0.25 into 0.25
3.349 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) in U
3.349 * [taylor]: Taking taylor expansion of (pow J 2) in U
3.349 * [taylor]: Taking taylor expansion of J in U
3.349 * [backup-simplify]: Simplify J into J
3.349 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -0.5 K)) 2) (pow U 2)) in U
3.349 * [taylor]: Taking taylor expansion of (pow (cos (/ -0.5 K)) 2) in U
3.350 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in U
3.350 * [taylor]: Taking taylor expansion of (/ -0.5 K) in U
3.350 * [taylor]: Taking taylor expansion of -0.5 in U
3.350 * [backup-simplify]: Simplify -0.5 into -0.5
3.350 * [taylor]: Taking taylor expansion of K in U
3.350 * [backup-simplify]: Simplify K into K
3.350 * [backup-simplify]: Simplify (/ -0.5 K) into (/ -0.5 K)
3.350 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
3.350 * [backup-simplify]: Simplify (sin (/ -0.5 K)) into (sin (/ -0.5 K))
3.350 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
3.350 * [backup-simplify]: Simplify (* (sin (/ -0.5 K)) 0) into 0
3.351 * [backup-simplify]: Simplify (- 0) into 0
3.351 * [backup-simplify]: Simplify (+ (cos (/ -0.5 K)) 0) into (cos (/ -0.5 K))
3.351 * [taylor]: Taking taylor expansion of (pow U 2) in U
3.351 * [taylor]: Taking taylor expansion of U in U
3.351 * [backup-simplify]: Simplify 0 into 0
3.351 * [backup-simplify]: Simplify 1 into 1
3.351 * [backup-simplify]: Simplify (* J J) into (pow J 2)
3.351 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) (cos (/ -0.5 K))) into (pow (cos (/ -0.5 K)) 2)
3.352 * [backup-simplify]: Simplify (* 1 1) into 1
3.352 * [backup-simplify]: Simplify (* (pow (cos (/ -0.5 K)) 2) 1) into (pow (cos (/ -0.5 K)) 2)
3.352 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)) into (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))
3.352 * [taylor]: Taking taylor expansion of 1.0 in U
3.352 * [backup-simplify]: Simplify 1.0 into 1.0
3.353 * [backup-simplify]: Simplify (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))) into (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))
3.353 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))) 0) into (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))
3.354 * [backup-simplify]: Simplify (sqrt (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) into (/ (* (sqrt 0.25) J) (cos (/ -0.5 K)))
3.354 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
3.354 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.355 * [backup-simplify]: Simplify (+ 0) into 0
3.355 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 1)) into 0
3.356 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)))) into 0
3.356 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.357 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (* 0 0)) into 0
3.357 * [backup-simplify]: Simplify (- 0) into 0
3.358 * [backup-simplify]: Simplify (+ 0 0) into 0
3.358 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 (cos (/ -0.5 K)))) into 0
3.359 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -0.5 K)) 2) 0) (* 0 1)) into 0
3.359 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -0.5 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)) (/ 0 (pow (cos (/ -0.5 K)) 2))))) into 0
3.360 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) into 0
3.361 * [backup-simplify]: Simplify (+ 0 0) into 0
3.361 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))))) into 0
3.361 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)) in U
3.361 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0) in U
3.361 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) in U
3.361 * [taylor]: Taking taylor expansion of 0.25 in U
3.361 * [backup-simplify]: Simplify 0.25 into 0.25
3.361 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) in U
3.361 * [taylor]: Taking taylor expansion of (pow J 2) in U
3.361 * [taylor]: Taking taylor expansion of J in U
3.361 * [backup-simplify]: Simplify J into J
3.361 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -0.5 K)) 2) (pow U 2)) in U
3.361 * [taylor]: Taking taylor expansion of (pow (cos (/ -0.5 K)) 2) in U
3.361 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in U
3.361 * [taylor]: Taking taylor expansion of (/ -0.5 K) in U
3.361 * [taylor]: Taking taylor expansion of -0.5 in U
3.361 * [backup-simplify]: Simplify -0.5 into -0.5
3.362 * [taylor]: Taking taylor expansion of K in U
3.362 * [backup-simplify]: Simplify K into K
3.362 * [backup-simplify]: Simplify (/ -0.5 K) into (/ -0.5 K)
3.362 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
3.362 * [backup-simplify]: Simplify (sin (/ -0.5 K)) into (sin (/ -0.5 K))
3.362 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
3.362 * [backup-simplify]: Simplify (* (sin (/ -0.5 K)) 0) into 0
3.362 * [backup-simplify]: Simplify (- 0) into 0
3.363 * [backup-simplify]: Simplify (+ (cos (/ -0.5 K)) 0) into (cos (/ -0.5 K))
3.363 * [taylor]: Taking taylor expansion of (pow U 2) in U
3.363 * [taylor]: Taking taylor expansion of U in U
3.363 * [backup-simplify]: Simplify 0 into 0
3.363 * [backup-simplify]: Simplify 1 into 1
3.363 * [backup-simplify]: Simplify (* J J) into (pow J 2)
3.363 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) (cos (/ -0.5 K))) into (pow (cos (/ -0.5 K)) 2)
3.363 * [backup-simplify]: Simplify (* 1 1) into 1
3.364 * [backup-simplify]: Simplify (* (pow (cos (/ -0.5 K)) 2) 1) into (pow (cos (/ -0.5 K)) 2)
3.364 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)) into (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))
3.364 * [taylor]: Taking taylor expansion of 1.0 in U
3.364 * [backup-simplify]: Simplify 1.0 into 1.0
3.364 * [backup-simplify]: Simplify (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))) into (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))
3.365 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))) 0) into (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))
3.365 * [backup-simplify]: Simplify (sqrt (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) into (/ (* (sqrt 0.25) J) (cos (/ -0.5 K)))
3.365 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
3.366 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.366 * [backup-simplify]: Simplify (+ 0) into 0
3.367 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 1)) into 0
3.367 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)))) into 0
3.368 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.368 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (* 0 0)) into 0
3.369 * [backup-simplify]: Simplify (- 0) into 0
3.369 * [backup-simplify]: Simplify (+ 0 0) into 0
3.369 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 (cos (/ -0.5 K)))) into 0
3.370 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -0.5 K)) 2) 0) (* 0 1)) into 0
3.371 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -0.5 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)) (/ 0 (pow (cos (/ -0.5 K)) 2))))) into 0
3.372 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) into 0
3.372 * [backup-simplify]: Simplify (+ 0 0) into 0
3.373 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))))) into 0
3.373 * [taylor]: Taking taylor expansion of (/ (* (sqrt 0.25) J) (cos (/ -0.5 K))) in J
3.373 * [taylor]: Taking taylor expansion of (* (sqrt 0.25) J) in J
3.373 * [taylor]: Taking taylor expansion of (sqrt 0.25) in J
3.373 * [taylor]: Taking taylor expansion of 0.25 in J
3.373 * [backup-simplify]: Simplify 0.25 into 0.25
3.373 * [backup-simplify]: Simplify (sqrt 0.25) into (sqrt 0.25)
3.374 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.25))) into 0
3.374 * [taylor]: Taking taylor expansion of J in J
3.374 * [backup-simplify]: Simplify 0 into 0
3.374 * [backup-simplify]: Simplify 1 into 1
3.374 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in J
3.374 * [taylor]: Taking taylor expansion of (/ -0.5 K) in J
3.374 * [taylor]: Taking taylor expansion of -0.5 in J
3.374 * [backup-simplify]: Simplify -0.5 into -0.5
3.374 * [taylor]: Taking taylor expansion of K in J
3.374 * [backup-simplify]: Simplify K into K
3.374 * [backup-simplify]: Simplify (/ -0.5 K) into (/ -0.5 K)
3.374 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
3.375 * [backup-simplify]: Simplify (sin (/ -0.5 K)) into (sin (/ -0.5 K))
3.375 * [backup-simplify]: Simplify (* (sqrt 0.25) 0) into 0
3.377 * [backup-simplify]: Simplify (+ (* (sqrt 0.25) 1) (* 0 0)) into (sqrt 0.25)
3.377 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
3.377 * [backup-simplify]: Simplify (* (sin (/ -0.5 K)) 0) into 0
3.377 * [backup-simplify]: Simplify (- 0) into 0
3.377 * [backup-simplify]: Simplify (+ (cos (/ -0.5 K)) 0) into (cos (/ -0.5 K))
3.377 * [backup-simplify]: Simplify (/ (sqrt 0.25) (cos (/ -0.5 K))) into (/ (sqrt 0.25) (cos (/ -0.5 K)))
3.377 * [taylor]: Taking taylor expansion of 0 in J
3.378 * [backup-simplify]: Simplify 0 into 0
3.378 * [taylor]: Taking taylor expansion of 0 in K
3.378 * [backup-simplify]: Simplify 0 into 0
3.378 * [backup-simplify]: Simplify 0 into 0
3.378 * [taylor]: Taking taylor expansion of (/ (sqrt 0.25) (cos (/ -0.5 K))) in K
3.378 * [taylor]: Taking taylor expansion of (sqrt 0.25) in K
3.378 * [taylor]: Taking taylor expansion of 0.25 in K
3.378 * [backup-simplify]: Simplify 0.25 into 0.25
3.378 * [backup-simplify]: Simplify (sqrt 0.25) into (sqrt 0.25)
3.378 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.25))) into 0
3.378 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in K
3.378 * [taylor]: Taking taylor expansion of (/ -0.5 K) in K
3.378 * [taylor]: Taking taylor expansion of -0.5 in K
3.378 * [backup-simplify]: Simplify -0.5 into -0.5
3.378 * [taylor]: Taking taylor expansion of K in K
3.378 * [backup-simplify]: Simplify 0 into 0
3.378 * [backup-simplify]: Simplify 1 into 1
3.379 * [backup-simplify]: Simplify (/ -0.5 1) into -0.5
3.379 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
3.379 * [backup-simplify]: Simplify (/ (sqrt 0.25) (cos (/ -0.5 K))) into (/ (sqrt 0.25) (cos (/ -0.5 K)))
3.379 * [backup-simplify]: Simplify (/ (sqrt 0.25) (cos (/ -0.5 K))) into (/ (sqrt 0.25) (cos (/ -0.5 K)))
3.380 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
3.380 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.381 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.381 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (+ (* 0 0) (* 0 1))) into 0
3.381 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
3.382 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.382 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (+ (* 0 0) (* 0 0))) into 0
3.382 * [backup-simplify]: Simplify (- 0) into 0
3.383 * [backup-simplify]: Simplify (+ 0 0) into 0
3.383 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (+ (* 0 0) (* 0 (cos (/ -0.5 K))))) into 0
3.384 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -0.5 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
3.384 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -0.5 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)) (/ 0 (pow (cos (/ -0.5 K)) 2))) (* 0 (/ 0 (pow (cos (/ -0.5 K)) 2))))) into 0
3.385 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))))) into 0
3.385 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
3.386 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (/ (* (sqrt 0.25) J) (cos (/ -0.5 K))))) into (* 0.5 (/ (cos (/ -0.5 K)) (* (sqrt 0.25) J)))
3.386 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -0.5 K)) (* (sqrt 0.25) J))) in J
3.386 * [taylor]: Taking taylor expansion of 0.5 in J
3.386 * [backup-simplify]: Simplify 0.5 into 0.5
3.386 * [taylor]: Taking taylor expansion of (/ (cos (/ -0.5 K)) (* (sqrt 0.25) J)) in J
3.386 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in J
3.387 * [taylor]: Taking taylor expansion of (/ -0.5 K) in J
3.387 * [taylor]: Taking taylor expansion of -0.5 in J
3.387 * [backup-simplify]: Simplify -0.5 into -0.5
3.387 * [taylor]: Taking taylor expansion of K in J
3.387 * [backup-simplify]: Simplify K into K
3.387 * [backup-simplify]: Simplify (/ -0.5 K) into (/ -0.5 K)
3.387 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
3.387 * [backup-simplify]: Simplify (sin (/ -0.5 K)) into (sin (/ -0.5 K))
3.387 * [taylor]: Taking taylor expansion of (* (sqrt 0.25) J) in J
3.387 * [taylor]: Taking taylor expansion of (sqrt 0.25) in J
3.387 * [taylor]: Taking taylor expansion of 0.25 in J
3.387 * [backup-simplify]: Simplify 0.25 into 0.25
3.387 * [backup-simplify]: Simplify (sqrt 0.25) into (sqrt 0.25)
3.388 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.25))) into 0
3.388 * [taylor]: Taking taylor expansion of J in J
3.388 * [backup-simplify]: Simplify 0 into 0
3.388 * [backup-simplify]: Simplify 1 into 1
3.388 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
3.388 * [backup-simplify]: Simplify (* (sin (/ -0.5 K)) 0) into 0
3.388 * [backup-simplify]: Simplify (- 0) into 0
3.388 * [backup-simplify]: Simplify (+ (cos (/ -0.5 K)) 0) into (cos (/ -0.5 K))
3.388 * [backup-simplify]: Simplify (* (sqrt 0.25) 0) into 0
3.390 * [backup-simplify]: Simplify (+ (* (sqrt 0.25) 1) (* 0 0)) into (sqrt 0.25)
3.390 * [backup-simplify]: Simplify (/ (cos (/ -0.5 K)) (sqrt 0.25)) into (/ (cos (/ -0.5 K)) (sqrt 0.25))
3.390 * [backup-simplify]: Simplify (+ 0) into 0
3.390 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 1)) into 0
3.391 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)))) into 0
3.391 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.391 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (* 0 0)) into 0
3.392 * [backup-simplify]: Simplify (- 0) into 0
3.392 * [backup-simplify]: Simplify (+ 0 0) into 0
3.392 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.25))) into 0
3.393 * [backup-simplify]: Simplify (+ (* (sqrt 0.25) 0) (+ (* 0 1) (* 0 0))) into 0
3.394 * [backup-simplify]: Simplify (- (/ 0 (sqrt 0.25)) (+ (* (/ (cos (/ -0.5 K)) (sqrt 0.25)) (/ 0 (sqrt 0.25))))) into 0
3.395 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ (cos (/ -0.5 K)) (sqrt 0.25)))) into 0
3.395 * [taylor]: Taking taylor expansion of 0 in K
3.395 * [backup-simplify]: Simplify 0 into 0
3.395 * [backup-simplify]: Simplify 0 into 0
3.395 * [taylor]: Taking taylor expansion of 0 in K
3.395 * [backup-simplify]: Simplify 0 into 0
3.395 * [backup-simplify]: Simplify 0 into 0
3.396 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.25))) into 0
3.396 * [backup-simplify]: Simplify (+ (* (sqrt 0.25) 0) (+ (* 0 1) (* 0 0))) into 0
3.397 * [backup-simplify]: Simplify (+ 0) into 0
3.397 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 1)) into 0
3.397 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)))) into 0
3.398 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.398 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (* 0 0)) into 0
3.398 * [backup-simplify]: Simplify (- 0) into 0
3.398 * [backup-simplify]: Simplify (+ 0 0) into 0
3.399 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -0.5 K))) (+ (* (/ (sqrt 0.25) (cos (/ -0.5 K))) (/ 0 (cos (/ -0.5 K)))))) into 0
3.399 * [taylor]: Taking taylor expansion of 0 in K
3.399 * [backup-simplify]: Simplify 0 into 0
3.399 * [backup-simplify]: Simplify 0 into 0
3.399 * [backup-simplify]: Simplify 0 into 0
3.399 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -0.5 K))) (+ (* (/ (sqrt 0.25) (cos (/ -0.5 K))) (/ 0 (cos (/ -0.5 K)))))) into 0
3.399 * [backup-simplify]: Simplify 0 into 0
3.400 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
3.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.401 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.402 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.402 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
3.403 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
3.403 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
3.403 * [backup-simplify]: Simplify (- 0) into 0
3.404 * [backup-simplify]: Simplify (+ 0 0) into 0
3.404 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -0.5 K)))))) into 0
3.405 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -0.5 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.405 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -0.5 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)) (/ 0 (pow (cos (/ -0.5 K)) 2))) (* 0 (/ 0 (pow (cos (/ -0.5 K)) 2))) (* 0 (/ 0 (pow (cos (/ -0.5 K)) 2))))) into 0
3.406 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))))) into 0
3.407 * [backup-simplify]: Simplify (+ 0 0) into 0
3.407 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 0.5 (/ (cos (/ -0.5 K)) (* (sqrt 0.25) J))))))) (* 2 (/ (* (sqrt 0.25) J) (cos (/ -0.5 K))))) into 0
3.407 * [taylor]: Taking taylor expansion of 0 in J
3.407 * [backup-simplify]: Simplify 0 into 0
3.407 * [taylor]: Taking taylor expansion of 0 in K
3.407 * [backup-simplify]: Simplify 0 into 0
3.407 * [backup-simplify]: Simplify 0 into 0
3.408 * [backup-simplify]: Simplify (* (/ (sqrt 0.25) (cos (/ -0.5 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (/ (* (sqrt 0.25) U) (* (cos (* 0.5 K)) J))
3.408 * * * * [progress]: [ 2 / 4 ] generating series at (2)
3.409 * [backup-simplify]: Simplify (* (* (* -2.0 J) (cos (/ K 2.0))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))) into (* -2.0 (* (* J (cos (* 0.5 K))) (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0))))
3.409 * [approximate]: Taking taylor expansion of (* -2.0 (* (* J (cos (* 0.5 K))) (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0)))) in (J K U) around 0
3.409 * [taylor]: Taking taylor expansion of (* -2.0 (* (* J (cos (* 0.5 K))) (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0)))) in U
3.409 * [taylor]: Taking taylor expansion of -2.0 in U
3.409 * [backup-simplify]: Simplify -2.0 into -2.0
3.409 * [taylor]: Taking taylor expansion of (* (* J (cos (* 0.5 K))) (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0))) in U
3.409 * [taylor]: Taking taylor expansion of (* J (cos (* 0.5 K))) in U
3.409 * [taylor]: Taking taylor expansion of J in U
3.409 * [backup-simplify]: Simplify J into J
3.409 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in U
3.409 * [taylor]: Taking taylor expansion of (* 0.5 K) in U
3.409 * [taylor]: Taking taylor expansion of 0.5 in U
3.409 * [backup-simplify]: Simplify 0.5 into 0.5
3.409 * [taylor]: Taking taylor expansion of K in U
3.409 * [backup-simplify]: Simplify K into K
3.409 * [backup-simplify]: Simplify (* 0.5 K) into (* 0.5 K)
3.409 * [backup-simplify]: Simplify (cos (* 0.5 K)) into (cos (* 0.5 K))
3.409 * [backup-simplify]: Simplify (sin (* 0.5 K)) into (sin (* 0.5 K))
3.410 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0)) in U
3.410 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0) in U
3.410 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) in U
3.410 * [taylor]: Taking taylor expansion of 0.25 in U
3.410 * [backup-simplify]: Simplify 0.25 into 0.25
3.410 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2))) in U
3.410 * [taylor]: Taking taylor expansion of (pow U 2) in U
3.410 * [taylor]: Taking taylor expansion of U in U
3.410 * [backup-simplify]: Simplify 0 into 0
3.410 * [backup-simplify]: Simplify 1 into 1
3.410 * [taylor]: Taking taylor expansion of (* (pow J 2) (pow (cos (* 0.5 K)) 2)) in U
3.410 * [taylor]: Taking taylor expansion of (pow J 2) in U
3.410 * [taylor]: Taking taylor expansion of J in U
3.410 * [backup-simplify]: Simplify J into J
3.410 * [taylor]: Taking taylor expansion of (pow (cos (* 0.5 K)) 2) in U
3.410 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in U
3.410 * [taylor]: Taking taylor expansion of (* 0.5 K) in U
3.410 * [taylor]: Taking taylor expansion of 0.5 in U
3.410 * [backup-simplify]: Simplify 0.5 into 0.5
3.410 * [taylor]: Taking taylor expansion of K in U
3.410 * [backup-simplify]: Simplify K into K
3.410 * [backup-simplify]: Simplify (* 0.5 K) into (* 0.5 K)
3.410 * [backup-simplify]: Simplify (cos (* 0.5 K)) into (cos (* 0.5 K))
3.410 * [backup-simplify]: Simplify (sin (* 0.5 K)) into (sin (* 0.5 K))
3.410 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) 1) into (cos (* 0.5 K))
3.411 * [backup-simplify]: Simplify (* (sin (* 0.5 K)) 0) into 0
3.411 * [backup-simplify]: Simplify (- 0) into 0
3.411 * [backup-simplify]: Simplify (+ (cos (* 0.5 K)) 0) into (cos (* 0.5 K))
3.412 * [backup-simplify]: Simplify (* 1 1) into 1
3.412 * [backup-simplify]: Simplify (* J J) into (pow J 2)
3.412 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) (cos (* 0.5 K))) into (pow (cos (* 0.5 K)) 2)
3.412 * [backup-simplify]: Simplify (* (pow J 2) (pow (cos (* 0.5 K)) 2)) into (* (pow J 2) (pow (cos (* 0.5 K)) 2))
3.413 * [backup-simplify]: Simplify (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2))) into (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2)))
3.413 * [taylor]: Taking taylor expansion of 1.0 in U
3.413 * [backup-simplify]: Simplify 1.0 into 1.0
3.413 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
3.414 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
3.414 * [backup-simplify]: Simplify (+ 0 0) into 0
3.415 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
3.415 * [taylor]: Taking taylor expansion of (* -2.0 (* (* J (cos (* 0.5 K))) (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0)))) in K
3.415 * [taylor]: Taking taylor expansion of -2.0 in K
3.415 * [backup-simplify]: Simplify -2.0 into -2.0
3.415 * [taylor]: Taking taylor expansion of (* (* J (cos (* 0.5 K))) (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0))) in K
3.415 * [taylor]: Taking taylor expansion of (* J (cos (* 0.5 K))) in K
3.415 * [taylor]: Taking taylor expansion of J in K
3.415 * [backup-simplify]: Simplify J into J
3.415 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in K
3.415 * [taylor]: Taking taylor expansion of (* 0.5 K) in K
3.415 * [taylor]: Taking taylor expansion of 0.5 in K
3.415 * [backup-simplify]: Simplify 0.5 into 0.5
3.415 * [taylor]: Taking taylor expansion of K in K
3.415 * [backup-simplify]: Simplify 0 into 0
3.415 * [backup-simplify]: Simplify 1 into 1
3.416 * [backup-simplify]: Simplify (* 0.5 0) into 0
3.417 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5
3.417 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0)) in K
3.417 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0) in K
3.417 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) in K
3.417 * [taylor]: Taking taylor expansion of 0.25 in K
3.417 * [backup-simplify]: Simplify 0.25 into 0.25
3.418 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2))) in K
3.418 * [taylor]: Taking taylor expansion of (pow U 2) in K
3.418 * [taylor]: Taking taylor expansion of U in K
3.418 * [backup-simplify]: Simplify U into U
3.418 * [taylor]: Taking taylor expansion of (* (pow J 2) (pow (cos (* 0.5 K)) 2)) in K
3.418 * [taylor]: Taking taylor expansion of (pow J 2) in K
3.418 * [taylor]: Taking taylor expansion of J in K
3.418 * [backup-simplify]: Simplify J into J
3.418 * [taylor]: Taking taylor expansion of (pow (cos (* 0.5 K)) 2) in K
3.418 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in K
3.418 * [taylor]: Taking taylor expansion of (* 0.5 K) in K
3.418 * [taylor]: Taking taylor expansion of 0.5 in K
3.418 * [backup-simplify]: Simplify 0.5 into 0.5
3.418 * [taylor]: Taking taylor expansion of K in K
3.418 * [backup-simplify]: Simplify 0 into 0
3.418 * [backup-simplify]: Simplify 1 into 1
3.418 * [backup-simplify]: Simplify (* 0.5 0) into 0
3.420 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5
3.420 * [backup-simplify]: Simplify (* U U) into (pow U 2)
3.420 * [backup-simplify]: Simplify (* J J) into (pow J 2)
3.421 * [backup-simplify]: Simplify (* 1 1) into 1
3.421 * [backup-simplify]: Simplify (* (pow J 2) 1) into (pow J 2)
3.421 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
3.421 * [taylor]: Taking taylor expansion of 1.0 in K
3.421 * [backup-simplify]: Simplify 1.0 into 1.0
3.422 * [backup-simplify]: Simplify (* 0.25 (/ (pow U 2) (pow J 2))) into (* 0.25 (/ (pow U 2) (pow J 2)))
3.422 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow U 2) (pow J 2))) 1.0) into (+ (* 0.25 (/ (pow U 2) (pow J 2))) 1.0)
3.423 * [backup-simplify]: Simplify (sqrt (+ (* 0.25 (/ (pow U 2) (pow J 2))) 1.0)) into (sqrt (+ (* 0.25 (/ (pow U 2) (pow J 2))) 1.0))
3.423 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
3.424 * [backup-simplify]: Simplify (+ 0) into 0
3.424 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.425 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
3.425 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (* 0 1)) into 0
3.426 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
3.427 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
3.427 * [backup-simplify]: Simplify (+ 0 0) into 0
3.428 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 0.25 (/ (pow U 2) (pow J 2))) 1.0)))) into 0
3.428 * [taylor]: Taking taylor expansion of (* -2.0 (* (* J (cos (* 0.5 K))) (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0)))) in J
3.428 * [taylor]: Taking taylor expansion of -2.0 in J
3.428 * [backup-simplify]: Simplify -2.0 into -2.0
3.428 * [taylor]: Taking taylor expansion of (* (* J (cos (* 0.5 K))) (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0))) in J
3.428 * [taylor]: Taking taylor expansion of (* J (cos (* 0.5 K))) in J
3.428 * [taylor]: Taking taylor expansion of J in J
3.428 * [backup-simplify]: Simplify 0 into 0
3.428 * [backup-simplify]: Simplify 1 into 1
3.428 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in J
3.428 * [taylor]: Taking taylor expansion of (* 0.5 K) in J
3.428 * [taylor]: Taking taylor expansion of 0.5 in J
3.428 * [backup-simplify]: Simplify 0.5 into 0.5
3.428 * [taylor]: Taking taylor expansion of K in J
3.428 * [backup-simplify]: Simplify K into K
3.428 * [backup-simplify]: Simplify (* 0.5 K) into (* 0.5 K)
3.429 * [backup-simplify]: Simplify (cos (* 0.5 K)) into (cos (* 0.5 K))
3.429 * [backup-simplify]: Simplify (sin (* 0.5 K)) into (sin (* 0.5 K))
3.429 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0)) in J
3.429 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0) in J
3.429 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) in J
3.429 * [taylor]: Taking taylor expansion of 0.25 in J
3.429 * [backup-simplify]: Simplify 0.25 into 0.25
3.429 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2))) in J
3.429 * [taylor]: Taking taylor expansion of (pow U 2) in J
3.429 * [taylor]: Taking taylor expansion of U in J
3.429 * [backup-simplify]: Simplify U into U
3.429 * [taylor]: Taking taylor expansion of (* (pow J 2) (pow (cos (* 0.5 K)) 2)) in J
3.429 * [taylor]: Taking taylor expansion of (pow J 2) in J
3.429 * [taylor]: Taking taylor expansion of J in J
3.429 * [backup-simplify]: Simplify 0 into 0
3.429 * [backup-simplify]: Simplify 1 into 1
3.429 * [taylor]: Taking taylor expansion of (pow (cos (* 0.5 K)) 2) in J
3.429 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in J
3.429 * [taylor]: Taking taylor expansion of (* 0.5 K) in J
3.429 * [taylor]: Taking taylor expansion of 0.5 in J
3.429 * [backup-simplify]: Simplify 0.5 into 0.5
3.429 * [taylor]: Taking taylor expansion of K in J
3.429 * [backup-simplify]: Simplify K into K
3.429 * [backup-simplify]: Simplify (* 0.5 K) into (* 0.5 K)
3.429 * [backup-simplify]: Simplify (cos (* 0.5 K)) into (cos (* 0.5 K))
3.430 * [backup-simplify]: Simplify (sin (* 0.5 K)) into (sin (* 0.5 K))
3.430 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) 1) into (cos (* 0.5 K))
3.430 * [backup-simplify]: Simplify (* (sin (* 0.5 K)) 0) into 0
3.431 * [backup-simplify]: Simplify (- 0) into 0
3.431 * [backup-simplify]: Simplify (+ (cos (* 0.5 K)) 0) into (cos (* 0.5 K))
3.431 * [backup-simplify]: Simplify (* U U) into (pow U 2)
3.432 * [backup-simplify]: Simplify (* 1 1) into 1
3.432 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) (cos (* 0.5 K))) into (pow (cos (* 0.5 K)) 2)
3.432 * [backup-simplify]: Simplify (* 1 (pow (cos (* 0.5 K)) 2)) into (pow (cos (* 0.5 K)) 2)
3.432 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 0.5 K)) 2)) into (/ (pow U 2) (pow (cos (* 0.5 K)) 2))
3.432 * [taylor]: Taking taylor expansion of 1.0 in J
3.432 * [backup-simplify]: Simplify 1.0 into 1.0
3.433 * [backup-simplify]: Simplify (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2))) into (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2)))
3.433 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2))) 0) into (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2)))
3.434 * [backup-simplify]: Simplify (sqrt (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2)))) into (/ (* (sqrt 0.25) U) (cos (* 0.5 K)))
3.434 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
3.434 * [backup-simplify]: Simplify (+ 0) into 0
3.435 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (* 0 1)) into 0
3.436 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 K)) into 0
3.436 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.437 * [backup-simplify]: Simplify (+ (* (sin (* 0.5 K)) 0) (* 0 0)) into 0
3.438 * [backup-simplify]: Simplify (- 0) into 0
3.438 * [backup-simplify]: Simplify (+ 0 0) into 0
3.438 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (* 0 (cos (* 0.5 K)))) into 0
3.439 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.440 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (* 0.5 K)) 2))) into 0
3.440 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 0.5 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 0.5 K)) 2)) (/ 0 (pow (cos (* 0.5 K)) 2))))) into 0
3.441 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow U 2) (pow (cos (* 0.5 K)) 2)))) into 0
3.442 * [backup-simplify]: Simplify (+ 0 0) into 0
3.442 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2)))))) into 0
3.442 * [taylor]: Taking taylor expansion of (* -2.0 (* (* J (cos (* 0.5 K))) (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0)))) in J
3.442 * [taylor]: Taking taylor expansion of -2.0 in J
3.442 * [backup-simplify]: Simplify -2.0 into -2.0
3.442 * [taylor]: Taking taylor expansion of (* (* J (cos (* 0.5 K))) (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0))) in J
3.442 * [taylor]: Taking taylor expansion of (* J (cos (* 0.5 K))) in J
3.442 * [taylor]: Taking taylor expansion of J in J
3.442 * [backup-simplify]: Simplify 0 into 0
3.442 * [backup-simplify]: Simplify 1 into 1
3.442 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in J
3.442 * [taylor]: Taking taylor expansion of (* 0.5 K) in J
3.442 * [taylor]: Taking taylor expansion of 0.5 in J
3.442 * [backup-simplify]: Simplify 0.5 into 0.5
3.443 * [taylor]: Taking taylor expansion of K in J
3.443 * [backup-simplify]: Simplify K into K
3.443 * [backup-simplify]: Simplify (* 0.5 K) into (* 0.5 K)
3.443 * [backup-simplify]: Simplify (cos (* 0.5 K)) into (cos (* 0.5 K))
3.443 * [backup-simplify]: Simplify (sin (* 0.5 K)) into (sin (* 0.5 K))
3.443 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0)) in J
3.443 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0) in J
3.443 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) in J
3.443 * [taylor]: Taking taylor expansion of 0.25 in J
3.443 * [backup-simplify]: Simplify 0.25 into 0.25
3.443 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2))) in J
3.443 * [taylor]: Taking taylor expansion of (pow U 2) in J
3.443 * [taylor]: Taking taylor expansion of U in J
3.443 * [backup-simplify]: Simplify U into U
3.443 * [taylor]: Taking taylor expansion of (* (pow J 2) (pow (cos (* 0.5 K)) 2)) in J
3.443 * [taylor]: Taking taylor expansion of (pow J 2) in J
3.443 * [taylor]: Taking taylor expansion of J in J
3.443 * [backup-simplify]: Simplify 0 into 0
3.443 * [backup-simplify]: Simplify 1 into 1
3.443 * [taylor]: Taking taylor expansion of (pow (cos (* 0.5 K)) 2) in J
3.443 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in J
3.443 * [taylor]: Taking taylor expansion of (* 0.5 K) in J
3.443 * [taylor]: Taking taylor expansion of 0.5 in J
3.443 * [backup-simplify]: Simplify 0.5 into 0.5
3.443 * [taylor]: Taking taylor expansion of K in J
3.443 * [backup-simplify]: Simplify K into K
3.443 * [backup-simplify]: Simplify (* 0.5 K) into (* 0.5 K)
3.443 * [backup-simplify]: Simplify (cos (* 0.5 K)) into (cos (* 0.5 K))
3.444 * [backup-simplify]: Simplify (sin (* 0.5 K)) into (sin (* 0.5 K))
3.444 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) 1) into (cos (* 0.5 K))
3.444 * [backup-simplify]: Simplify (* (sin (* 0.5 K)) 0) into 0
3.445 * [backup-simplify]: Simplify (- 0) into 0
3.445 * [backup-simplify]: Simplify (+ (cos (* 0.5 K)) 0) into (cos (* 0.5 K))
3.445 * [backup-simplify]: Simplify (* U U) into (pow U 2)
3.445 * [backup-simplify]: Simplify (* 1 1) into 1
3.446 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) (cos (* 0.5 K))) into (pow (cos (* 0.5 K)) 2)
3.446 * [backup-simplify]: Simplify (* 1 (pow (cos (* 0.5 K)) 2)) into (pow (cos (* 0.5 K)) 2)
3.446 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 0.5 K)) 2)) into (/ (pow U 2) (pow (cos (* 0.5 K)) 2))
3.446 * [taylor]: Taking taylor expansion of 1.0 in J
3.446 * [backup-simplify]: Simplify 1.0 into 1.0
3.446 * [backup-simplify]: Simplify (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2))) into (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2)))
3.447 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2))) 0) into (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2)))
3.447 * [backup-simplify]: Simplify (sqrt (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2)))) into (/ (* (sqrt 0.25) U) (cos (* 0.5 K)))
3.447 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
3.448 * [backup-simplify]: Simplify (+ 0) into 0
3.449 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (* 0 1)) into 0
3.449 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 K)) into 0
3.450 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.450 * [backup-simplify]: Simplify (+ (* (sin (* 0.5 K)) 0) (* 0 0)) into 0
3.451 * [backup-simplify]: Simplify (- 0) into 0
3.451 * [backup-simplify]: Simplify (+ 0 0) into 0
3.451 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (* 0 (cos (* 0.5 K)))) into 0
3.452 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.453 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (* 0.5 K)) 2))) into 0
3.453 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 0.5 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 0.5 K)) 2)) (/ 0 (pow (cos (* 0.5 K)) 2))))) into 0
3.454 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow U 2) (pow (cos (* 0.5 K)) 2)))) into 0
3.455 * [backup-simplify]: Simplify (+ 0 0) into 0
3.455 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2)))))) into 0
3.455 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) 1) into (cos (* 0.5 K))
3.455 * [backup-simplify]: Simplify (* (sin (* 0.5 K)) 0) into 0
3.456 * [backup-simplify]: Simplify (- 0) into 0
3.456 * [backup-simplify]: Simplify (+ (cos (* 0.5 K)) 0) into (cos (* 0.5 K))
3.456 * [backup-simplify]: Simplify (* 0 (cos (* 0.5 K))) into 0
3.456 * [backup-simplify]: Simplify (* 0 (/ (* (sqrt 0.25) U) (cos (* 0.5 K)))) into 0
3.457 * [backup-simplify]: Simplify (* -2.0 0) into 0
3.457 * [taylor]: Taking taylor expansion of 0 in K
3.457 * [backup-simplify]: Simplify 0 into 0
3.457 * [taylor]: Taking taylor expansion of 0 in U
3.457 * [backup-simplify]: Simplify 0 into 0
3.457 * [backup-simplify]: Simplify 0 into 0
3.458 * [backup-simplify]: Simplify (+ 0) into 0
3.458 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (* 0 1)) into 0
3.459 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 K)) into 0
3.459 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.460 * [backup-simplify]: Simplify (+ (* (sin (* 0.5 K)) 0) (* 0 0)) into 0
3.460 * [backup-simplify]: Simplify (- 0) into 0
3.461 * [backup-simplify]: Simplify (+ 0 0) into 0
3.461 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (* 0.5 K)))) into (cos (* 0.5 K))
3.462 * [backup-simplify]: Simplify (+ (* 0 0) (* (cos (* 0.5 K)) (/ (* (sqrt 0.25) U) (cos (* 0.5 K))))) into (* (sqrt 0.25) U)
3.463 * [backup-simplify]: Simplify (+ (* -2.0 (* (sqrt 0.25) U)) (* 0 0)) into (- (* 2.0 (* (sqrt 0.25) U)))
3.463 * [taylor]: Taking taylor expansion of (- (* 2.0 (* (sqrt 0.25) U))) in K
3.463 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt 0.25) U)) in K
3.463 * [taylor]: Taking taylor expansion of 2.0 in K
3.463 * [backup-simplify]: Simplify 2.0 into 2.0
3.463 * [taylor]: Taking taylor expansion of (* (sqrt 0.25) U) in K
3.463 * [taylor]: Taking taylor expansion of (sqrt 0.25) in K
3.463 * [taylor]: Taking taylor expansion of 0.25 in K
3.463 * [backup-simplify]: Simplify 0.25 into 0.25
3.463 * [backup-simplify]: Simplify (sqrt 0.25) into (sqrt 0.25)
3.464 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.25))) into 0
3.464 * [taylor]: Taking taylor expansion of U in K
3.464 * [backup-simplify]: Simplify U into U
3.465 * [backup-simplify]: Simplify (* (sqrt 0.25) U) into (* (sqrt 0.25) U)
3.465 * [backup-simplify]: Simplify (* 2.0 (* (sqrt 0.25) U)) into (* 2.0 (* (sqrt 0.25) U))
3.465 * [backup-simplify]: Simplify (- (* 2.0 (* (sqrt 0.25) U))) into (- (* 2.0 (* (sqrt 0.25) U)))
3.465 * [taylor]: Taking taylor expansion of (- (* 2.0 (* (sqrt 0.25) U))) in U
3.465 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt 0.25) U)) in U
3.466 * [taylor]: Taking taylor expansion of 2.0 in U
3.466 * [backup-simplify]: Simplify 2.0 into 2.0
3.466 * [taylor]: Taking taylor expansion of (* (sqrt 0.25) U) in U
3.466 * [taylor]: Taking taylor expansion of (sqrt 0.25) in U
3.466 * [taylor]: Taking taylor expansion of 0.25 in U
3.466 * [backup-simplify]: Simplify 0.25 into 0.25
3.466 * [backup-simplify]: Simplify (sqrt 0.25) into (sqrt 0.25)
3.467 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.25))) into 0
3.467 * [taylor]: Taking taylor expansion of U in U
3.467 * [backup-simplify]: Simplify 0 into 0
3.467 * [backup-simplify]: Simplify 1 into 1
3.467 * [backup-simplify]: Simplify (* (sqrt 0.25) 0) into 0
3.468 * [backup-simplify]: Simplify (* 2.0 0) into 0
3.468 * [backup-simplify]: Simplify (- 0) into 0
3.468 * [backup-simplify]: Simplify 0 into 0
3.468 * [taylor]: Taking taylor expansion of 0 in U
3.468 * [backup-simplify]: Simplify 0 into 0
3.468 * [backup-simplify]: Simplify 0 into 0
3.468 * [backup-simplify]: Simplify 0 into 0
3.469 * [backup-simplify]: Simplify (+ (* U 0) (+ (* 0 0) (* 0 U))) into 0
3.470 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.471 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (+ (* 0 0) (* 0 1))) into 0
3.471 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 K))) into 0
3.472 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.473 * [backup-simplify]: Simplify (+ (* (sin (* 0.5 K)) 0) (+ (* 0 0) (* 0 0))) into 0
3.473 * [backup-simplify]: Simplify (- 0) into 0
3.474 * [backup-simplify]: Simplify (+ 0 0) into 0
3.474 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (+ (* 0 0) (* 0 (cos (* 0.5 K))))) into 0
3.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.476 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (* 0.5 K)) 2)))) into 0
3.477 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 0.5 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 0.5 K)) 2)) (/ 0 (pow (cos (* 0.5 K)) 2))) (* 0 (/ 0 (pow (cos (* 0.5 K)) 2))))) into 0
3.478 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (/ (pow U 2) (pow (cos (* 0.5 K)) 2))))) into 0
3.479 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
3.481 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (/ (* (sqrt 0.25) U) (cos (* 0.5 K))))) into (* 0.5 (/ (cos (* 0.5 K)) (* (sqrt 0.25) U)))
3.482 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.482 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (+ (* 0 0) (* 0 1))) into 0
3.483 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 K))) into 0
3.484 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.485 * [backup-simplify]: Simplify (+ (* (sin (* 0.5 K)) 0) (+ (* 0 0) (* 0 0))) into 0
3.485 * [backup-simplify]: Simplify (- 0) into 0
3.485 * [backup-simplify]: Simplify (+ 0 0) into 0
3.486 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (* 0.5 K))))) into 0
3.488 * [backup-simplify]: Simplify (+ (* 0 (* 0.5 (/ (cos (* 0.5 K)) (* (sqrt 0.25) U)))) (+ (* (cos (* 0.5 K)) 0) (* 0 (/ (* (sqrt 0.25) U) (cos (* 0.5 K)))))) into 0
3.489 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 (* (sqrt 0.25) U)) (* 0 0))) into 0
3.489 * [taylor]: Taking taylor expansion of 0 in K
3.489 * [backup-simplify]: Simplify 0 into 0
3.489 * [taylor]: Taking taylor expansion of 0 in U
3.489 * [backup-simplify]: Simplify 0 into 0
3.489 * [backup-simplify]: Simplify 0 into 0
3.490 * [backup-simplify]: Simplify (+ (* (sqrt 0.25) 0) (* 0 U)) into 0
3.491 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (* (sqrt 0.25) U))) into 0
3.493 * [backup-simplify]: Simplify (- 0) into 0
3.493 * [taylor]: Taking taylor expansion of 0 in U
3.493 * [backup-simplify]: Simplify 0 into 0
3.493 * [backup-simplify]: Simplify 0 into 0
3.493 * [backup-simplify]: Simplify 0 into 0
3.494 * [backup-simplify]: Simplify (* (* (* -2.0 (/ 1 J)) (cos (/ (/ 1 K) 2.0))) (sqrt (+ 1.0 (pow (/ (/ 1 U) (* (* 2.0 (/ 1 J)) (cos (/ (/ 1 K) 2.0)))) 2.0)))) into (* -2.0 (* (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) (/ (cos (/ 0.5 K)) J)))
3.494 * [approximate]: Taking taylor expansion of (* -2.0 (* (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) (/ (cos (/ 0.5 K)) J))) in (J K U) around 0
3.494 * [taylor]: Taking taylor expansion of (* -2.0 (* (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) (/ (cos (/ 0.5 K)) J))) in U
3.494 * [taylor]: Taking taylor expansion of -2.0 in U
3.495 * [backup-simplify]: Simplify -2.0 into -2.0
3.495 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) (/ (cos (/ 0.5 K)) J)) in U
3.495 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) in U
3.495 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0) in U
3.495 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) in U
3.495 * [taylor]: Taking taylor expansion of 0.25 in U
3.495 * [backup-simplify]: Simplify 0.25 into 0.25
3.495 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))) in U
3.495 * [taylor]: Taking taylor expansion of (pow J 2) in U
3.495 * [taylor]: Taking taylor expansion of J in U
3.495 * [backup-simplify]: Simplify J into J
3.495 * [taylor]: Taking taylor expansion of (* (pow (cos (/ 0.5 K)) 2) (pow U 2)) in U
3.495 * [taylor]: Taking taylor expansion of (pow (cos (/ 0.5 K)) 2) in U
3.495 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in U
3.495 * [taylor]: Taking taylor expansion of (/ 0.5 K) in U
3.495 * [taylor]: Taking taylor expansion of 0.5 in U
3.495 * [backup-simplify]: Simplify 0.5 into 0.5
3.495 * [taylor]: Taking taylor expansion of K in U
3.495 * [backup-simplify]: Simplify K into K
3.495 * [backup-simplify]: Simplify (/ 0.5 K) into (/ 0.5 K)
3.495 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
3.495 * [backup-simplify]: Simplify (sin (/ 0.5 K)) into (sin (/ 0.5 K))
3.495 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
3.496 * [backup-simplify]: Simplify (* (sin (/ 0.5 K)) 0) into 0
3.496 * [backup-simplify]: Simplify (- 0) into 0
3.496 * [backup-simplify]: Simplify (+ (cos (/ 0.5 K)) 0) into (cos (/ 0.5 K))
3.496 * [taylor]: Taking taylor expansion of (pow U 2) in U
3.496 * [taylor]: Taking taylor expansion of U in U
3.496 * [backup-simplify]: Simplify 0 into 0
3.496 * [backup-simplify]: Simplify 1 into 1
3.496 * [backup-simplify]: Simplify (* J J) into (pow J 2)
3.497 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) (cos (/ 0.5 K))) into (pow (cos (/ 0.5 K)) 2)
3.497 * [backup-simplify]: Simplify (* 1 1) into 1
3.497 * [backup-simplify]: Simplify (* (pow (cos (/ 0.5 K)) 2) 1) into (pow (cos (/ 0.5 K)) 2)
3.498 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)) into (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))
3.498 * [taylor]: Taking taylor expansion of 1.0 in U
3.498 * [backup-simplify]: Simplify 1.0 into 1.0
3.498 * [backup-simplify]: Simplify (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))) into (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))
3.498 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))) 0) into (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))
3.499 * [backup-simplify]: Simplify (sqrt (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) into (/ (* (sqrt 0.25) J) (cos (/ 0.5 K)))
3.499 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
3.500 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.500 * [backup-simplify]: Simplify (+ 0) into 0
3.501 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 1)) into 0
3.501 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)))) into 0
3.502 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.502 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (* 0 0)) into 0
3.502 * [backup-simplify]: Simplify (- 0) into 0
3.503 * [backup-simplify]: Simplify (+ 0 0) into 0
3.503 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 (cos (/ 0.5 K)))) into 0
3.504 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 0.5 K)) 2) 0) (* 0 1)) into 0
3.504 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 0.5 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)) (/ 0 (pow (cos (/ 0.5 K)) 2))))) into 0
3.505 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) into 0
3.506 * [backup-simplify]: Simplify (+ 0 0) into 0
3.506 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))))) into 0
3.506 * [taylor]: Taking taylor expansion of (/ (cos (/ 0.5 K)) J) in U
3.506 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in U
3.506 * [taylor]: Taking taylor expansion of (/ 0.5 K) in U
3.506 * [taylor]: Taking taylor expansion of 0.5 in U
3.506 * [backup-simplify]: Simplify 0.5 into 0.5
3.506 * [taylor]: Taking taylor expansion of K in U
3.506 * [backup-simplify]: Simplify K into K
3.506 * [backup-simplify]: Simplify (/ 0.5 K) into (/ 0.5 K)
3.506 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
3.507 * [backup-simplify]: Simplify (sin (/ 0.5 K)) into (sin (/ 0.5 K))
3.507 * [taylor]: Taking taylor expansion of J in U
3.507 * [backup-simplify]: Simplify J into J
3.507 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
3.507 * [backup-simplify]: Simplify (* (sin (/ 0.5 K)) 0) into 0
3.507 * [backup-simplify]: Simplify (- 0) into 0
3.507 * [backup-simplify]: Simplify (+ (cos (/ 0.5 K)) 0) into (cos (/ 0.5 K))
3.507 * [backup-simplify]: Simplify (/ (cos (/ 0.5 K)) J) into (/ (cos (/ 0.5 K)) J)
3.508 * [taylor]: Taking taylor expansion of (* -2.0 (* (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) (/ (cos (/ 0.5 K)) J))) in K
3.508 * [taylor]: Taking taylor expansion of -2.0 in K
3.508 * [backup-simplify]: Simplify -2.0 into -2.0
3.508 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) (/ (cos (/ 0.5 K)) J)) in K
3.508 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) in K
3.508 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0) in K
3.508 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) in K
3.508 * [taylor]: Taking taylor expansion of 0.25 in K
3.508 * [backup-simplify]: Simplify 0.25 into 0.25
3.508 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))) in K
3.508 * [taylor]: Taking taylor expansion of (pow J 2) in K
3.508 * [taylor]: Taking taylor expansion of J in K
3.508 * [backup-simplify]: Simplify J into J
3.508 * [taylor]: Taking taylor expansion of (* (pow (cos (/ 0.5 K)) 2) (pow U 2)) in K
3.508 * [taylor]: Taking taylor expansion of (pow (cos (/ 0.5 K)) 2) in K
3.508 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in K
3.508 * [taylor]: Taking taylor expansion of (/ 0.5 K) in K
3.508 * [taylor]: Taking taylor expansion of 0.5 in K
3.508 * [backup-simplify]: Simplify 0.5 into 0.5
3.508 * [taylor]: Taking taylor expansion of K in K
3.508 * [backup-simplify]: Simplify 0 into 0
3.508 * [backup-simplify]: Simplify 1 into 1
3.509 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5
3.509 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
3.509 * [taylor]: Taking taylor expansion of (pow U 2) in K
3.509 * [taylor]: Taking taylor expansion of U in K
3.509 * [backup-simplify]: Simplify U into U
3.509 * [backup-simplify]: Simplify (* J J) into (pow J 2)
3.509 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) (cos (/ 0.5 K))) into (pow (cos (/ 0.5 K)) 2)
3.509 * [backup-simplify]: Simplify (* U U) into (pow U 2)
3.510 * [backup-simplify]: Simplify (* (pow (cos (/ 0.5 K)) 2) (pow U 2)) into (* (pow U 2) (pow (cos (/ 0.5 K)) 2))
3.510 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 0.5 K)) 2))) into (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))
3.510 * [taylor]: Taking taylor expansion of 1.0 in K
3.510 * [backup-simplify]: Simplify 1.0 into 1.0
3.510 * [backup-simplify]: Simplify (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) into (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))))
3.511 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0) into (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)
3.512 * [backup-simplify]: Simplify (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) into (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0))
3.512 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
3.512 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
3.512 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 (cos (/ 0.5 K)))) into 0
3.513 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 0.5 K)) 2) 0) (* 0 (pow U 2))) into 0
3.514 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 0.5 K)) 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))) (/ 0 (* (pow U 2) (pow (cos (/ 0.5 K)) 2)))))) into 0
3.515 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))))) into 0
3.515 * [backup-simplify]: Simplify (+ 0 0) into 0
3.516 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)))) into 0
3.516 * [taylor]: Taking taylor expansion of (/ (cos (/ 0.5 K)) J) in K
3.516 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in K
3.516 * [taylor]: Taking taylor expansion of (/ 0.5 K) in K
3.516 * [taylor]: Taking taylor expansion of 0.5 in K
3.516 * [backup-simplify]: Simplify 0.5 into 0.5
3.516 * [taylor]: Taking taylor expansion of K in K
3.516 * [backup-simplify]: Simplify 0 into 0
3.516 * [backup-simplify]: Simplify 1 into 1
3.517 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5
3.517 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
3.517 * [taylor]: Taking taylor expansion of J in K
3.517 * [backup-simplify]: Simplify J into J
3.517 * [backup-simplify]: Simplify (/ (cos (/ 0.5 K)) J) into (/ (cos (/ 0.5 K)) J)
3.517 * [taylor]: Taking taylor expansion of (* -2.0 (* (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) (/ (cos (/ 0.5 K)) J))) in J
3.517 * [taylor]: Taking taylor expansion of -2.0 in J
3.517 * [backup-simplify]: Simplify -2.0 into -2.0
3.517 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) (/ (cos (/ 0.5 K)) J)) in J
3.517 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) in J
3.517 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0) in J
3.517 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) in J
3.517 * [taylor]: Taking taylor expansion of 0.25 in J
3.517 * [backup-simplify]: Simplify 0.25 into 0.25
3.517 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))) in J
3.517 * [taylor]: Taking taylor expansion of (pow J 2) in J
3.517 * [taylor]: Taking taylor expansion of J in J
3.517 * [backup-simplify]: Simplify 0 into 0
3.517 * [backup-simplify]: Simplify 1 into 1
3.517 * [taylor]: Taking taylor expansion of (* (pow (cos (/ 0.5 K)) 2) (pow U 2)) in J
3.517 * [taylor]: Taking taylor expansion of (pow (cos (/ 0.5 K)) 2) in J
3.517 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in J
3.517 * [taylor]: Taking taylor expansion of (/ 0.5 K) in J
3.517 * [taylor]: Taking taylor expansion of 0.5 in J
3.517 * [backup-simplify]: Simplify 0.5 into 0.5
3.518 * [taylor]: Taking taylor expansion of K in J
3.518 * [backup-simplify]: Simplify K into K
3.518 * [backup-simplify]: Simplify (/ 0.5 K) into (/ 0.5 K)
3.518 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
3.518 * [backup-simplify]: Simplify (sin (/ 0.5 K)) into (sin (/ 0.5 K))
3.518 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
3.518 * [backup-simplify]: Simplify (* (sin (/ 0.5 K)) 0) into 0
3.518 * [backup-simplify]: Simplify (- 0) into 0
3.519 * [backup-simplify]: Simplify (+ (cos (/ 0.5 K)) 0) into (cos (/ 0.5 K))
3.519 * [taylor]: Taking taylor expansion of (pow U 2) in J
3.519 * [taylor]: Taking taylor expansion of U in J
3.519 * [backup-simplify]: Simplify U into U
3.519 * [backup-simplify]: Simplify (* 1 1) into 1
3.519 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) (cos (/ 0.5 K))) into (pow (cos (/ 0.5 K)) 2)
3.519 * [backup-simplify]: Simplify (* U U) into (pow U 2)
3.520 * [backup-simplify]: Simplify (* (pow (cos (/ 0.5 K)) 2) (pow U 2)) into (* (pow U 2) (pow (cos (/ 0.5 K)) 2))
3.520 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 0.5 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 0.5 K)) 2)))
3.520 * [taylor]: Taking taylor expansion of 1.0 in J
3.520 * [backup-simplify]: Simplify 1.0 into 1.0
3.521 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
3.521 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
3.522 * [backup-simplify]: Simplify (+ 0 0) into 0
3.523 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
3.523 * [taylor]: Taking taylor expansion of (/ (cos (/ 0.5 K)) J) in J
3.523 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in J
3.523 * [taylor]: Taking taylor expansion of (/ 0.5 K) in J
3.523 * [taylor]: Taking taylor expansion of 0.5 in J
3.523 * [backup-simplify]: Simplify 0.5 into 0.5
3.523 * [taylor]: Taking taylor expansion of K in J
3.523 * [backup-simplify]: Simplify K into K
3.523 * [backup-simplify]: Simplify (/ 0.5 K) into (/ 0.5 K)
3.523 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
3.523 * [backup-simplify]: Simplify (sin (/ 0.5 K)) into (sin (/ 0.5 K))
3.523 * [taylor]: Taking taylor expansion of J in J
3.523 * [backup-simplify]: Simplify 0 into 0
3.523 * [backup-simplify]: Simplify 1 into 1
3.523 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
3.523 * [backup-simplify]: Simplify (* (sin (/ 0.5 K)) 0) into 0
3.524 * [backup-simplify]: Simplify (- 0) into 0
3.524 * [backup-simplify]: Simplify (+ (cos (/ 0.5 K)) 0) into (cos (/ 0.5 K))
3.524 * [backup-simplify]: Simplify (/ (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
3.524 * [taylor]: Taking taylor expansion of (* -2.0 (* (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) (/ (cos (/ 0.5 K)) J))) in J
3.524 * [taylor]: Taking taylor expansion of -2.0 in J
3.524 * [backup-simplify]: Simplify -2.0 into -2.0
3.524 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) (/ (cos (/ 0.5 K)) J)) in J
3.524 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) in J
3.524 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0) in J
3.524 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) in J
3.524 * [taylor]: Taking taylor expansion of 0.25 in J
3.525 * [backup-simplify]: Simplify 0.25 into 0.25
3.525 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))) in J
3.525 * [taylor]: Taking taylor expansion of (pow J 2) in J
3.525 * [taylor]: Taking taylor expansion of J in J
3.525 * [backup-simplify]: Simplify 0 into 0
3.525 * [backup-simplify]: Simplify 1 into 1
3.525 * [taylor]: Taking taylor expansion of (* (pow (cos (/ 0.5 K)) 2) (pow U 2)) in J
3.525 * [taylor]: Taking taylor expansion of (pow (cos (/ 0.5 K)) 2) in J
3.525 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in J
3.525 * [taylor]: Taking taylor expansion of (/ 0.5 K) in J
3.525 * [taylor]: Taking taylor expansion of 0.5 in J
3.525 * [backup-simplify]: Simplify 0.5 into 0.5
3.525 * [taylor]: Taking taylor expansion of K in J
3.525 * [backup-simplify]: Simplify K into K
3.525 * [backup-simplify]: Simplify (/ 0.5 K) into (/ 0.5 K)
3.525 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
3.525 * [backup-simplify]: Simplify (sin (/ 0.5 K)) into (sin (/ 0.5 K))
3.525 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
3.525 * [backup-simplify]: Simplify (* (sin (/ 0.5 K)) 0) into 0
3.526 * [backup-simplify]: Simplify (- 0) into 0
3.526 * [backup-simplify]: Simplify (+ (cos (/ 0.5 K)) 0) into (cos (/ 0.5 K))
3.526 * [taylor]: Taking taylor expansion of (pow U 2) in J
3.526 * [taylor]: Taking taylor expansion of U in J
3.526 * [backup-simplify]: Simplify U into U
3.527 * [backup-simplify]: Simplify (* 1 1) into 1
3.527 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) (cos (/ 0.5 K))) into (pow (cos (/ 0.5 K)) 2)
3.527 * [backup-simplify]: Simplify (* U U) into (pow U 2)
3.527 * [backup-simplify]: Simplify (* (pow (cos (/ 0.5 K)) 2) (pow U 2)) into (* (pow U 2) (pow (cos (/ 0.5 K)) 2))
3.528 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 0.5 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 0.5 K)) 2)))
3.528 * [taylor]: Taking taylor expansion of 1.0 in J
3.528 * [backup-simplify]: Simplify 1.0 into 1.0
3.528 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
3.529 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
3.529 * [backup-simplify]: Simplify (+ 0 0) into 0
3.530 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
3.530 * [taylor]: Taking taylor expansion of (/ (cos (/ 0.5 K)) J) in J
3.530 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in J
3.530 * [taylor]: Taking taylor expansion of (/ 0.5 K) in J
3.530 * [taylor]: Taking taylor expansion of 0.5 in J
3.530 * [backup-simplify]: Simplify 0.5 into 0.5
3.530 * [taylor]: Taking taylor expansion of K in J
3.530 * [backup-simplify]: Simplify K into K
3.530 * [backup-simplify]: Simplify (/ 0.5 K) into (/ 0.5 K)
3.530 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
3.531 * [backup-simplify]: Simplify (sin (/ 0.5 K)) into (sin (/ 0.5 K))
3.531 * [taylor]: Taking taylor expansion of J in J
3.531 * [backup-simplify]: Simplify 0 into 0
3.531 * [backup-simplify]: Simplify 1 into 1
3.531 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
3.531 * [backup-simplify]: Simplify (* (sin (/ 0.5 K)) 0) into 0
3.531 * [backup-simplify]: Simplify (- 0) into 0
3.531 * [backup-simplify]: Simplify (+ (cos (/ 0.5 K)) 0) into (cos (/ 0.5 K))
3.532 * [backup-simplify]: Simplify (/ (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
3.532 * [backup-simplify]: Simplify (* (sqrt 1.0) (cos (/ 0.5 K))) into (* (sqrt 1.0) (cos (/ 0.5 K)))
3.533 * [backup-simplify]: Simplify (* -2.0 (* (sqrt 1.0) (cos (/ 0.5 K)))) into (* -2.0 (* (sqrt 1.0) (cos (/ 0.5 K))))
3.533 * [taylor]: Taking taylor expansion of (* -2.0 (* (sqrt 1.0) (cos (/ 0.5 K)))) in K
3.533 * [taylor]: Taking taylor expansion of -2.0 in K
3.533 * [backup-simplify]: Simplify -2.0 into -2.0
3.533 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (cos (/ 0.5 K))) in K
3.533 * [taylor]: Taking taylor expansion of (sqrt 1.0) in K
3.533 * [taylor]: Taking taylor expansion of 1.0 in K
3.533 * [backup-simplify]: Simplify 1.0 into 1.0
3.533 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
3.534 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
3.534 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in K
3.534 * [taylor]: Taking taylor expansion of (/ 0.5 K) in K
3.534 * [taylor]: Taking taylor expansion of 0.5 in K
3.534 * [backup-simplify]: Simplify 0.5 into 0.5
3.534 * [taylor]: Taking taylor expansion of K in K
3.534 * [backup-simplify]: Simplify 0 into 0
3.534 * [backup-simplify]: Simplify 1 into 1
3.535 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5
3.535 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
3.535 * [backup-simplify]: Simplify (* (sqrt 1.0) (cos (/ 0.5 K))) into (* (sqrt 1.0) (cos (/ 0.5 K)))
3.536 * [backup-simplify]: Simplify (* -2.0 (* (sqrt 1.0) (cos (/ 0.5 K)))) into (* -2.0 (* (sqrt 1.0) (cos (/ 0.5 K))))
3.536 * [taylor]: Taking taylor expansion of (* -2.0 (* (sqrt 1.0) (cos (/ 0.5 K)))) in U
3.536 * [taylor]: Taking taylor expansion of -2.0 in U
3.536 * [backup-simplify]: Simplify -2.0 into -2.0
3.536 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (cos (/ 0.5 K))) in U
3.536 * [taylor]: Taking taylor expansion of (sqrt 1.0) in U
3.536 * [taylor]: Taking taylor expansion of 1.0 in U
3.536 * [backup-simplify]: Simplify 1.0 into 1.0
3.536 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
3.537 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
3.537 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in U
3.537 * [taylor]: Taking taylor expansion of (/ 0.5 K) in U
3.537 * [taylor]: Taking taylor expansion of 0.5 in U
3.537 * [backup-simplify]: Simplify 0.5 into 0.5
3.537 * [taylor]: Taking taylor expansion of K in U
3.537 * [backup-simplify]: Simplify K into K
3.537 * [backup-simplify]: Simplify (/ 0.5 K) into (/ 0.5 K)
3.537 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
3.538 * [backup-simplify]: Simplify (sin (/ 0.5 K)) into (sin (/ 0.5 K))
3.538 * [backup-simplify]: Simplify (+ 0) into 0
3.539 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 1)) into 0
3.539 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)))) into 0
3.540 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.540 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (* 0 0)) into 0
3.540 * [backup-simplify]: Simplify (- 0) into 0
3.541 * [backup-simplify]: Simplify (+ 0 0) into 0
3.542 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 0.5 K)) (/ 0 1)))) into 0
3.542 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (cos (/ 0.5 K)))) into 0
3.543 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 (* (sqrt 1.0) (cos (/ 0.5 K))))) into 0
3.543 * [taylor]: Taking taylor expansion of 0 in K
3.543 * [backup-simplify]: Simplify 0 into 0
3.543 * [taylor]: Taking taylor expansion of 0 in U
3.543 * [backup-simplify]: Simplify 0 into 0
3.544 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (cos (/ 0.5 K)))) into 0
3.545 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 (* (sqrt 1.0) (cos (/ 0.5 K))))) into 0
3.545 * [taylor]: Taking taylor expansion of 0 in U
3.545 * [backup-simplify]: Simplify 0 into 0
3.545 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
3.545 * [backup-simplify]: Simplify (* (sin (/ 0.5 K)) 0) into 0
3.546 * [backup-simplify]: Simplify (- 0) into 0
3.546 * [backup-simplify]: Simplify (+ (cos (/ 0.5 K)) 0) into (cos (/ 0.5 K))
3.546 * [backup-simplify]: Simplify (* (sqrt 1.0) (cos (/ 0.5 K))) into (* (sqrt 1.0) (cos (/ 0.5 K)))
3.547 * [backup-simplify]: Simplify (* -2.0 (* (sqrt 1.0) (cos (/ 0.5 K)))) into (* -2.0 (* (sqrt 1.0) (cos (/ 0.5 K))))
3.548 * [backup-simplify]: Simplify (* -2.0 (* (sqrt 1.0) (cos (/ 0.5 K)))) into (* -2.0 (* (sqrt 1.0) (cos (/ 0.5 K))))
3.549 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.549 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (+ (* 0 0) (* 0 1))) into 0
3.550 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
3.550 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.551 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (+ (* 0 0) (* 0 0))) into 0
3.552 * [backup-simplify]: Simplify (- 0) into 0
3.552 * [backup-simplify]: Simplify (+ 0 0) into 0
3.553 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 0.5 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.554 * [backup-simplify]: Simplify (* 0.25 (/ 1 (* (pow U 2) (pow (cos (/ 0.5 K)) 2)))) into (/ 0.25 (* (pow U 2) (pow (cos (/ 0.5 K)) 2)))
3.554 * [backup-simplify]: Simplify (+ (/ 0.25 (* (pow U 2) (pow (cos (/ 0.5 K)) 2))) 0) into (* 0.25 (/ 1 (* (pow U 2) (pow (cos (/ 0.5 K)) 2))))
3.556 * [backup-simplify]: Simplify (/ (- (* 0.25 (/ 1 (* (pow U 2) (pow (cos (/ 0.5 K)) 2)))) (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ 0.125 (* (sqrt 1.0) (* (pow U 2) (pow (cos (/ 0.5 K)) 2))))
3.558 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* (/ 0.125 (* (sqrt 1.0) (* (pow U 2) (pow (cos (/ 0.5 K)) 2)))) (cos (/ 0.5 K))))) into (* 0.125 (/ 1 (* (sqrt 1.0) (* (pow U 2) (cos (/ 0.5 K))))))
3.560 * [backup-simplify]: Simplify (+ (* -2.0 (* 0.125 (/ 1 (* (sqrt 1.0) (* (pow U 2) (cos (/ 0.5 K))))))) (+ (* 0 0) (* 0 (* (sqrt 1.0) (cos (/ 0.5 K)))))) into (- (* 0.25 (/ 1 (* (sqrt 1.0) (* (pow U 2) (cos (/ 0.5 K)))))))
3.560 * [taylor]: Taking taylor expansion of (- (* 0.25 (/ 1 (* (sqrt 1.0) (* (pow U 2) (cos (/ 0.5 K))))))) in K
3.560 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (* (sqrt 1.0) (* (pow U 2) (cos (/ 0.5 K)))))) in K
3.560 * [taylor]: Taking taylor expansion of 0.25 in K
3.560 * [backup-simplify]: Simplify 0.25 into 0.25
3.560 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt 1.0) (* (pow U 2) (cos (/ 0.5 K))))) in K
3.560 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (* (pow U 2) (cos (/ 0.5 K)))) in K
3.560 * [taylor]: Taking taylor expansion of (sqrt 1.0) in K
3.560 * [taylor]: Taking taylor expansion of 1.0 in K
3.560 * [backup-simplify]: Simplify 1.0 into 1.0
3.561 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
3.561 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
3.561 * [taylor]: Taking taylor expansion of (* (pow U 2) (cos (/ 0.5 K))) in K
3.561 * [taylor]: Taking taylor expansion of (pow U 2) in K
3.562 * [taylor]: Taking taylor expansion of U in K
3.562 * [backup-simplify]: Simplify U into U
3.562 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in K
3.562 * [taylor]: Taking taylor expansion of (/ 0.5 K) in K
3.562 * [taylor]: Taking taylor expansion of 0.5 in K
3.562 * [backup-simplify]: Simplify 0.5 into 0.5
3.562 * [taylor]: Taking taylor expansion of K in K
3.562 * [backup-simplify]: Simplify 0 into 0
3.562 * [backup-simplify]: Simplify 1 into 1
3.562 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5
3.562 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
3.562 * [backup-simplify]: Simplify (* U U) into (pow U 2)
3.563 * [backup-simplify]: Simplify (* (pow U 2) (cos (/ 0.5 K))) into (* (pow U 2) (cos (/ 0.5 K)))
3.563 * [backup-simplify]: Simplify (* (sqrt 1.0) (* (pow U 2) (cos (/ 0.5 K)))) into (* (sqrt 1.0) (* (pow U 2) (cos (/ 0.5 K))))
3.564 * [backup-simplify]: Simplify (/ 1 (* (sqrt 1.0) (* (pow U 2) (cos (/ 0.5 K))))) into (/ 1 (* (sqrt 1.0) (* (pow U 2) (cos (/ 0.5 K)))))
3.565 * [backup-simplify]: Simplify (* 0.25 (/ 1 (* (sqrt 1.0) (* (pow U 2) (cos (/ 0.5 K)))))) into (/ 0.25 (* (sqrt 1.0) (* (pow U 2) (cos (/ 0.5 K)))))
3.565 * [backup-simplify]: Simplify (- (/ 0.25 (* (sqrt 1.0) (* (pow U 2) (cos (/ 0.5 K)))))) into (- (* 0.25 (/ 1 (* (sqrt 1.0) (* (pow U 2) (cos (/ 0.5 K)))))))
3.565 * [taylor]: Taking taylor expansion of (- (* 0.25 (/ 1 (* (sqrt 1.0) (* (pow U 2) (cos (/ 0.5 K))))))) in U
3.565 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (* (sqrt 1.0) (* (pow U 2) (cos (/ 0.5 K)))))) in U
3.565 * [taylor]: Taking taylor expansion of 0.25 in U
3.565 * [backup-simplify]: Simplify 0.25 into 0.25
3.565 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt 1.0) (* (pow U 2) (cos (/ 0.5 K))))) in U
3.566 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (* (pow U 2) (cos (/ 0.5 K)))) in U
3.566 * [taylor]: Taking taylor expansion of (sqrt 1.0) in U
3.566 * [taylor]: Taking taylor expansion of 1.0 in U
3.566 * [backup-simplify]: Simplify 1.0 into 1.0
3.566 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
3.567 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
3.567 * [taylor]: Taking taylor expansion of (* (pow U 2) (cos (/ 0.5 K))) in U
3.567 * [taylor]: Taking taylor expansion of (pow U 2) in U
3.567 * [taylor]: Taking taylor expansion of U in U
3.567 * [backup-simplify]: Simplify 0 into 0
3.567 * [backup-simplify]: Simplify 1 into 1
3.567 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in U
3.567 * [taylor]: Taking taylor expansion of (/ 0.5 K) in U
3.567 * [taylor]: Taking taylor expansion of 0.5 in U
3.567 * [backup-simplify]: Simplify 0.5 into 0.5
3.567 * [taylor]: Taking taylor expansion of K in U
3.567 * [backup-simplify]: Simplify K into K
3.567 * [backup-simplify]: Simplify (/ 0.5 K) into (/ 0.5 K)
3.567 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
3.567 * [backup-simplify]: Simplify (sin (/ 0.5 K)) into (sin (/ 0.5 K))
3.568 * [backup-simplify]: Simplify (* 1 1) into 1
3.568 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
3.568 * [backup-simplify]: Simplify (* (sin (/ 0.5 K)) 0) into 0
3.568 * [backup-simplify]: Simplify (- 0) into 0
3.568 * [backup-simplify]: Simplify (+ (cos (/ 0.5 K)) 0) into (cos (/ 0.5 K))
3.569 * [backup-simplify]: Simplify (* 1 (cos (/ 0.5 K))) into (cos (/ 0.5 K))
3.569 * [backup-simplify]: Simplify (* (sqrt 1.0) (cos (/ 0.5 K))) into (* (sqrt 1.0) (cos (/ 0.5 K)))
3.570 * [backup-simplify]: Simplify (/ 1 (* (sqrt 1.0) (cos (/ 0.5 K)))) into (/ 1 (* (sqrt 1.0) (cos (/ 0.5 K))))
3.570 * [backup-simplify]: Simplify (+ 0) into 0
3.571 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 1)) into 0
3.571 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)))) into 0
3.572 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.572 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (* 0 0)) into 0
3.572 * [backup-simplify]: Simplify (- 0) into 0
3.573 * [backup-simplify]: Simplify (+ 0 0) into 0
3.574 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.574 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos (/ 0.5 K)))) into 0
3.575 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (cos (/ 0.5 K)))) into 0
3.576 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (sqrt 1.0) (cos (/ 0.5 K)))) (/ 0 (* (sqrt 1.0) (cos (/ 0.5 K))))))) into 0
3.577 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ 1 (* (sqrt 1.0) (cos (/ 0.5 K)))))) into 0
3.577 * [backup-simplify]: Simplify (- 0) into 0
3.577 * [backup-simplify]: Simplify 0 into 0
3.577 * [taylor]: Taking taylor expansion of 0 in U
3.577 * [backup-simplify]: Simplify 0 into 0
3.578 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
3.579 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* 0 (cos (/ 0.5 K))))) into 0
3.581 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 (* (sqrt 1.0) (cos (/ 0.5 K)))))) into 0
3.581 * [taylor]: Taking taylor expansion of 0 in U
3.581 * [backup-simplify]: Simplify 0 into 0
3.581 * [backup-simplify]: Simplify 0 into 0
3.581 * [backup-simplify]: Simplify 0 into 0
3.581 * [backup-simplify]: Simplify (+ 0) into 0
3.582 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 1)) into 0
3.582 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)))) into 0
3.583 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.583 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (* 0 0)) into 0
3.584 * [backup-simplify]: Simplify (- 0) into 0
3.584 * [backup-simplify]: Simplify (+ 0 0) into 0
3.585 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (cos (/ 0.5 K)))) into 0
3.586 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 (* (sqrt 1.0) (cos (/ 0.5 K))))) into 0
3.586 * [backup-simplify]: Simplify 0 into 0
3.587 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.588 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.588 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
3.590 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
3.590 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
3.591 * [backup-simplify]: Simplify (- 0) into 0
3.591 * [backup-simplify]: Simplify (+ 0 0) into 0
3.593 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 0.5 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.594 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.594 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
3.594 * [backup-simplify]: Simplify (+ 0) into 0
3.595 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 1)) into 0
3.595 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)))) into 0
3.596 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.596 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (* 0 0)) into 0
3.597 * [backup-simplify]: Simplify (- 0) into 0
3.597 * [backup-simplify]: Simplify (+ 0 0) into 0
3.597 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 (cos (/ 0.5 K)))) into 0
3.598 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 0.5 K)) 2) 0) (* 0 (pow U 2))) into 0
3.599 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 0.5 K)) 2))) (+ (* (/ 1 (* (pow U 2) (pow (cos (/ 0.5 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 0.5 K)) 2)))))) into 0
3.600 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ 1 (* (pow U 2) (pow (cos (/ 0.5 K)) 2))))) into 0
3.601 * [backup-simplify]: Simplify (+ 0 0) into 0
3.602 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.125 (* (sqrt 1.0) (* (pow U 2) (pow (cos (/ 0.5 K)) 2)))))))) (* 2 (sqrt 1.0))) into 0
3.604 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* (/ 0.125 (* (sqrt 1.0) (* (pow U 2) (pow (cos (/ 0.5 K)) 2)))) 0) (* 0 (cos (/ 0.5 K)))))) into 0
3.606 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 (* 0.125 (/ 1 (* (sqrt 1.0) (* (pow U 2) (cos (/ 0.5 K))))))) (+ (* 0 0) (* 0 (* (sqrt 1.0) (cos (/ 0.5 K))))))) into 0
3.607 * [taylor]: Taking taylor expansion of 0 in K
3.607 * [backup-simplify]: Simplify 0 into 0
3.607 * [taylor]: Taking taylor expansion of 0 in U
3.607 * [backup-simplify]: Simplify 0 into 0
3.607 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
3.607 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (cos (/ 0.5 K)))) into 0
3.608 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (* (pow U 2) (cos (/ 0.5 K))))) into 0
3.609 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (sqrt 1.0) (* (pow U 2) (cos (/ 0.5 K))))) (/ 0 (* (sqrt 1.0) (* (pow U 2) (cos (/ 0.5 K)))))))) into 0
3.610 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ 1 (* (sqrt 1.0) (* (pow U 2) (cos (/ 0.5 K))))))) into 0
3.611 * [backup-simplify]: Simplify (- 0) into 0
3.611 * [taylor]: Taking taylor expansion of 0 in U
3.611 * [backup-simplify]: Simplify 0 into 0
3.611 * [taylor]: Taking taylor expansion of 0 in U
3.611 * [backup-simplify]: Simplify 0 into 0
3.612 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0
3.614 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 0.5 K)))))) into 0
3.615 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt 1.0) (cos (/ 0.5 K))))))) into 0
3.615 * [taylor]: Taking taylor expansion of 0 in U
3.615 * [backup-simplify]: Simplify 0 into 0
3.616 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.617 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (+ (* 0 0) (* 0 1))) into 0
3.617 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
3.618 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.619 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (+ (* 0 0) (* 0 0))) into 0
3.619 * [backup-simplify]: Simplify (- 0) into 0
3.620 * [backup-simplify]: Simplify (+ 0 0) into 0
3.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.622 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 0.5 K))))) into 0
3.623 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
3.624 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* 0 (cos (/ 0.5 K))))) into 0
3.626 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (sqrt 1.0) (cos (/ 0.5 K)))) (/ 0 (* (sqrt 1.0) (cos (/ 0.5 K))))) (* 0 (/ 0 (* (sqrt 1.0) (cos (/ 0.5 K))))))) into 0
3.627 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (/ 1 (* (sqrt 1.0) (cos (/ 0.5 K))))))) into 0
3.627 * [backup-simplify]: Simplify (- 0) into 0
3.627 * [backup-simplify]: Simplify 0 into 0
3.627 * [backup-simplify]: Simplify 0 into 0
3.628 * [backup-simplify]: Simplify (* (* -2.0 (* (sqrt 1.0) (cos (/ 0.5 (/ 1 K))))) (* 1 (* 1 (/ 1 (/ 1 J))))) into (* -2.0 (* (sqrt 1.0) (* (cos (* 0.5 K)) J)))
3.629 * [backup-simplify]: Simplify (* (* (* -2.0 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2.0))) (sqrt (+ 1.0 (pow (/ (/ 1 (- U)) (* (* 2.0 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2.0)))) 2.0)))) into (* 2.0 (* (/ (cos (/ -0.5 K)) J) (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0))))
3.629 * [approximate]: Taking taylor expansion of (* 2.0 (* (/ (cos (/ -0.5 K)) J) (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)))) in (J K U) around 0
3.629 * [taylor]: Taking taylor expansion of (* 2.0 (* (/ (cos (/ -0.5 K)) J) (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)))) in U
3.629 * [taylor]: Taking taylor expansion of 2.0 in U
3.629 * [backup-simplify]: Simplify 2.0 into 2.0
3.629 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -0.5 K)) J) (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0))) in U
3.629 * [taylor]: Taking taylor expansion of (/ (cos (/ -0.5 K)) J) in U
3.629 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in U
3.629 * [taylor]: Taking taylor expansion of (/ -0.5 K) in U
3.629 * [taylor]: Taking taylor expansion of -0.5 in U
3.629 * [backup-simplify]: Simplify -0.5 into -0.5
3.629 * [taylor]: Taking taylor expansion of K in U
3.630 * [backup-simplify]: Simplify K into K
3.630 * [backup-simplify]: Simplify (/ -0.5 K) into (/ -0.5 K)
3.630 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
3.630 * [backup-simplify]: Simplify (sin (/ -0.5 K)) into (sin (/ -0.5 K))
3.630 * [taylor]: Taking taylor expansion of J in U
3.630 * [backup-simplify]: Simplify J into J
3.630 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
3.630 * [backup-simplify]: Simplify (* (sin (/ -0.5 K)) 0) into 0
3.630 * [backup-simplify]: Simplify (- 0) into 0
3.631 * [backup-simplify]: Simplify (+ (cos (/ -0.5 K)) 0) into (cos (/ -0.5 K))
3.631 * [backup-simplify]: Simplify (/ (cos (/ -0.5 K)) J) into (/ (cos (/ -0.5 K)) J)
3.631 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)) in U
3.631 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0) in U
3.631 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) in U
3.631 * [taylor]: Taking taylor expansion of 0.25 in U
3.631 * [backup-simplify]: Simplify 0.25 into 0.25
3.631 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) in U
3.631 * [taylor]: Taking taylor expansion of (pow J 2) in U
3.631 * [taylor]: Taking taylor expansion of J in U
3.631 * [backup-simplify]: Simplify J into J
3.631 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -0.5 K)) 2) (pow U 2)) in U
3.631 * [taylor]: Taking taylor expansion of (pow (cos (/ -0.5 K)) 2) in U
3.631 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in U
3.631 * [taylor]: Taking taylor expansion of (/ -0.5 K) in U
3.631 * [taylor]: Taking taylor expansion of -0.5 in U
3.631 * [backup-simplify]: Simplify -0.5 into -0.5
3.631 * [taylor]: Taking taylor expansion of K in U
3.631 * [backup-simplify]: Simplify K into K
3.631 * [backup-simplify]: Simplify (/ -0.5 K) into (/ -0.5 K)
3.631 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
3.632 * [backup-simplify]: Simplify (sin (/ -0.5 K)) into (sin (/ -0.5 K))
3.632 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
3.632 * [backup-simplify]: Simplify (* (sin (/ -0.5 K)) 0) into 0
3.632 * [backup-simplify]: Simplify (- 0) into 0
3.632 * [backup-simplify]: Simplify (+ (cos (/ -0.5 K)) 0) into (cos (/ -0.5 K))
3.632 * [taylor]: Taking taylor expansion of (pow U 2) in U
3.632 * [taylor]: Taking taylor expansion of U in U
3.632 * [backup-simplify]: Simplify 0 into 0
3.632 * [backup-simplify]: Simplify 1 into 1
3.633 * [backup-simplify]: Simplify (* J J) into (pow J 2)
3.633 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) (cos (/ -0.5 K))) into (pow (cos (/ -0.5 K)) 2)
3.633 * [backup-simplify]: Simplify (* 1 1) into 1
3.633 * [backup-simplify]: Simplify (* (pow (cos (/ -0.5 K)) 2) 1) into (pow (cos (/ -0.5 K)) 2)
3.634 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)) into (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))
3.634 * [taylor]: Taking taylor expansion of 1.0 in U
3.634 * [backup-simplify]: Simplify 1.0 into 1.0
3.634 * [backup-simplify]: Simplify (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))) into (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))
3.635 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))) 0) into (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))
3.635 * [backup-simplify]: Simplify (sqrt (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) into (/ (* (sqrt 0.25) J) (cos (/ -0.5 K)))
3.635 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
3.636 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.636 * [backup-simplify]: Simplify (+ 0) into 0
3.637 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 1)) into 0
3.637 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)))) into 0
3.638 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.638 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (* 0 0)) into 0
3.639 * [backup-simplify]: Simplify (- 0) into 0
3.639 * [backup-simplify]: Simplify (+ 0 0) into 0
3.639 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 (cos (/ -0.5 K)))) into 0
3.640 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -0.5 K)) 2) 0) (* 0 1)) into 0
3.640 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -0.5 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)) (/ 0 (pow (cos (/ -0.5 K)) 2))))) into 0
3.641 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) into 0
3.641 * [backup-simplify]: Simplify (+ 0 0) into 0
3.641 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))))) into 0
3.641 * [taylor]: Taking taylor expansion of (* 2.0 (* (/ (cos (/ -0.5 K)) J) (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)))) in K
3.641 * [taylor]: Taking taylor expansion of 2.0 in K
3.641 * [backup-simplify]: Simplify 2.0 into 2.0
3.641 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -0.5 K)) J) (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0))) in K
3.641 * [taylor]: Taking taylor expansion of (/ (cos (/ -0.5 K)) J) in K
3.641 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in K
3.641 * [taylor]: Taking taylor expansion of (/ -0.5 K) in K
3.641 * [taylor]: Taking taylor expansion of -0.5 in K
3.641 * [backup-simplify]: Simplify -0.5 into -0.5
3.641 * [taylor]: Taking taylor expansion of K in K
3.641 * [backup-simplify]: Simplify 0 into 0
3.641 * [backup-simplify]: Simplify 1 into 1
3.642 * [backup-simplify]: Simplify (/ -0.5 1) into -0.5
3.642 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
3.642 * [taylor]: Taking taylor expansion of J in K
3.642 * [backup-simplify]: Simplify J into J
3.642 * [backup-simplify]: Simplify (/ (cos (/ -0.5 K)) J) into (/ (cos (/ -0.5 K)) J)
3.642 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)) in K
3.642 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0) in K
3.642 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) in K
3.642 * [taylor]: Taking taylor expansion of 0.25 in K
3.642 * [backup-simplify]: Simplify 0.25 into 0.25
3.642 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) in K
3.642 * [taylor]: Taking taylor expansion of (pow J 2) in K
3.642 * [taylor]: Taking taylor expansion of J in K
3.642 * [backup-simplify]: Simplify J into J
3.642 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -0.5 K)) 2) (pow U 2)) in K
3.642 * [taylor]: Taking taylor expansion of (pow (cos (/ -0.5 K)) 2) in K
3.642 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in K
3.642 * [taylor]: Taking taylor expansion of (/ -0.5 K) in K
3.642 * [taylor]: Taking taylor expansion of -0.5 in K
3.642 * [backup-simplify]: Simplify -0.5 into -0.5
3.642 * [taylor]: Taking taylor expansion of K in K
3.642 * [backup-simplify]: Simplify 0 into 0
3.642 * [backup-simplify]: Simplify 1 into 1
3.642 * [backup-simplify]: Simplify (/ -0.5 1) into -0.5
3.642 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
3.642 * [taylor]: Taking taylor expansion of (pow U 2) in K
3.642 * [taylor]: Taking taylor expansion of U in K
3.643 * [backup-simplify]: Simplify U into U
3.643 * [backup-simplify]: Simplify (* J J) into (pow J 2)
3.643 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) (cos (/ -0.5 K))) into (pow (cos (/ -0.5 K)) 2)
3.643 * [backup-simplify]: Simplify (* U U) into (pow U 2)
3.643 * [backup-simplify]: Simplify (* (pow (cos (/ -0.5 K)) 2) (pow U 2)) into (* (pow (cos (/ -0.5 K)) 2) (pow U 2))
3.643 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))
3.643 * [taylor]: Taking taylor expansion of 1.0 in K
3.643 * [backup-simplify]: Simplify 1.0 into 1.0
3.643 * [backup-simplify]: Simplify (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) into (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))))
3.644 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0) into (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)
3.644 * [backup-simplify]: Simplify (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)) into (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0))
3.644 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
3.644 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
3.644 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 (cos (/ -0.5 K)))) into 0
3.644 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -0.5 K)) 2) 0) (* 0 (pow U 2))) into 0
3.645 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))))) into 0
3.646 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))))) into 0
3.646 * [backup-simplify]: Simplify (+ 0 0) into 0
3.646 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)))) into 0
3.646 * [taylor]: Taking taylor expansion of (* 2.0 (* (/ (cos (/ -0.5 K)) J) (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)))) in J
3.646 * [taylor]: Taking taylor expansion of 2.0 in J
3.646 * [backup-simplify]: Simplify 2.0 into 2.0
3.646 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -0.5 K)) J) (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0))) in J
3.646 * [taylor]: Taking taylor expansion of (/ (cos (/ -0.5 K)) J) in J
3.646 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in J
3.646 * [taylor]: Taking taylor expansion of (/ -0.5 K) in J
3.646 * [taylor]: Taking taylor expansion of -0.5 in J
3.646 * [backup-simplify]: Simplify -0.5 into -0.5
3.646 * [taylor]: Taking taylor expansion of K in J
3.646 * [backup-simplify]: Simplify K into K
3.647 * [backup-simplify]: Simplify (/ -0.5 K) into (/ -0.5 K)
3.647 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
3.647 * [backup-simplify]: Simplify (sin (/ -0.5 K)) into (sin (/ -0.5 K))
3.647 * [taylor]: Taking taylor expansion of J in J
3.647 * [backup-simplify]: Simplify 0 into 0
3.647 * [backup-simplify]: Simplify 1 into 1
3.647 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
3.647 * [backup-simplify]: Simplify (* (sin (/ -0.5 K)) 0) into 0
3.647 * [backup-simplify]: Simplify (- 0) into 0
3.647 * [backup-simplify]: Simplify (+ (cos (/ -0.5 K)) 0) into (cos (/ -0.5 K))
3.647 * [backup-simplify]: Simplify (/ (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
3.647 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)) in J
3.647 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0) in J
3.647 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) in J
3.647 * [taylor]: Taking taylor expansion of 0.25 in J
3.647 * [backup-simplify]: Simplify 0.25 into 0.25
3.647 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) in J
3.647 * [taylor]: Taking taylor expansion of (pow J 2) in J
3.647 * [taylor]: Taking taylor expansion of J in J
3.647 * [backup-simplify]: Simplify 0 into 0
3.647 * [backup-simplify]: Simplify 1 into 1
3.647 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -0.5 K)) 2) (pow U 2)) in J
3.647 * [taylor]: Taking taylor expansion of (pow (cos (/ -0.5 K)) 2) in J
3.647 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in J
3.647 * [taylor]: Taking taylor expansion of (/ -0.5 K) in J
3.647 * [taylor]: Taking taylor expansion of -0.5 in J
3.648 * [backup-simplify]: Simplify -0.5 into -0.5
3.648 * [taylor]: Taking taylor expansion of K in J
3.648 * [backup-simplify]: Simplify K into K
3.648 * [backup-simplify]: Simplify (/ -0.5 K) into (/ -0.5 K)
3.648 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
3.648 * [backup-simplify]: Simplify (sin (/ -0.5 K)) into (sin (/ -0.5 K))
3.648 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
3.648 * [backup-simplify]: Simplify (* (sin (/ -0.5 K)) 0) into 0
3.648 * [backup-simplify]: Simplify (- 0) into 0
3.648 * [backup-simplify]: Simplify (+ (cos (/ -0.5 K)) 0) into (cos (/ -0.5 K))
3.648 * [taylor]: Taking taylor expansion of (pow U 2) in J
3.648 * [taylor]: Taking taylor expansion of U in J
3.648 * [backup-simplify]: Simplify U into U
3.649 * [backup-simplify]: Simplify (* 1 1) into 1
3.649 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) (cos (/ -0.5 K))) into (pow (cos (/ -0.5 K)) 2)
3.649 * [backup-simplify]: Simplify (* U U) into (pow U 2)
3.649 * [backup-simplify]: Simplify (* (pow (cos (/ -0.5 K)) 2) (pow U 2)) into (* (pow (cos (/ -0.5 K)) 2) (pow U 2))
3.649 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))
3.649 * [taylor]: Taking taylor expansion of 1.0 in J
3.649 * [backup-simplify]: Simplify 1.0 into 1.0
3.649 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
3.650 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
3.650 * [backup-simplify]: Simplify (+ 0 0) into 0
3.650 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
3.650 * [taylor]: Taking taylor expansion of (* 2.0 (* (/ (cos (/ -0.5 K)) J) (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)))) in J
3.650 * [taylor]: Taking taylor expansion of 2.0 in J
3.651 * [backup-simplify]: Simplify 2.0 into 2.0
3.651 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -0.5 K)) J) (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0))) in J
3.651 * [taylor]: Taking taylor expansion of (/ (cos (/ -0.5 K)) J) in J
3.651 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in J
3.651 * [taylor]: Taking taylor expansion of (/ -0.5 K) in J
3.651 * [taylor]: Taking taylor expansion of -0.5 in J
3.651 * [backup-simplify]: Simplify -0.5 into -0.5
3.651 * [taylor]: Taking taylor expansion of K in J
3.651 * [backup-simplify]: Simplify K into K
3.651 * [backup-simplify]: Simplify (/ -0.5 K) into (/ -0.5 K)
3.651 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
3.651 * [backup-simplify]: Simplify (sin (/ -0.5 K)) into (sin (/ -0.5 K))
3.651 * [taylor]: Taking taylor expansion of J in J
3.651 * [backup-simplify]: Simplify 0 into 0
3.651 * [backup-simplify]: Simplify 1 into 1
3.651 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
3.651 * [backup-simplify]: Simplify (* (sin (/ -0.5 K)) 0) into 0
3.651 * [backup-simplify]: Simplify (- 0) into 0
3.651 * [backup-simplify]: Simplify (+ (cos (/ -0.5 K)) 0) into (cos (/ -0.5 K))
3.651 * [backup-simplify]: Simplify (/ (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
3.651 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)) in J
3.651 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0) in J
3.651 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) in J
3.651 * [taylor]: Taking taylor expansion of 0.25 in J
3.651 * [backup-simplify]: Simplify 0.25 into 0.25
3.651 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) in J
3.651 * [taylor]: Taking taylor expansion of (pow J 2) in J
3.651 * [taylor]: Taking taylor expansion of J in J
3.652 * [backup-simplify]: Simplify 0 into 0
3.652 * [backup-simplify]: Simplify 1 into 1
3.652 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -0.5 K)) 2) (pow U 2)) in J
3.652 * [taylor]: Taking taylor expansion of (pow (cos (/ -0.5 K)) 2) in J
3.652 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in J
3.652 * [taylor]: Taking taylor expansion of (/ -0.5 K) in J
3.652 * [taylor]: Taking taylor expansion of -0.5 in J
3.652 * [backup-simplify]: Simplify -0.5 into -0.5
3.652 * [taylor]: Taking taylor expansion of K in J
3.652 * [backup-simplify]: Simplify K into K
3.652 * [backup-simplify]: Simplify (/ -0.5 K) into (/ -0.5 K)
3.652 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
3.652 * [backup-simplify]: Simplify (sin (/ -0.5 K)) into (sin (/ -0.5 K))
3.652 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
3.652 * [backup-simplify]: Simplify (* (sin (/ -0.5 K)) 0) into 0
3.652 * [backup-simplify]: Simplify (- 0) into 0
3.652 * [backup-simplify]: Simplify (+ (cos (/ -0.5 K)) 0) into (cos (/ -0.5 K))
3.652 * [taylor]: Taking taylor expansion of (pow U 2) in J
3.652 * [taylor]: Taking taylor expansion of U in J
3.652 * [backup-simplify]: Simplify U into U
3.653 * [backup-simplify]: Simplify (* 1 1) into 1
3.653 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) (cos (/ -0.5 K))) into (pow (cos (/ -0.5 K)) 2)
3.653 * [backup-simplify]: Simplify (* U U) into (pow U 2)
3.653 * [backup-simplify]: Simplify (* (pow (cos (/ -0.5 K)) 2) (pow U 2)) into (* (pow (cos (/ -0.5 K)) 2) (pow U 2))
3.653 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))
3.653 * [taylor]: Taking taylor expansion of 1.0 in J
3.653 * [backup-simplify]: Simplify 1.0 into 1.0
3.653 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
3.654 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
3.655 * [backup-simplify]: Simplify (+ 0 0) into 0
3.656 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
3.656 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) (sqrt 1.0)) into (* (cos (/ -0.5 K)) (sqrt 1.0))
3.657 * [backup-simplify]: Simplify (* 2.0 (* (cos (/ -0.5 K)) (sqrt 1.0))) into (* 2.0 (* (cos (/ -0.5 K)) (sqrt 1.0)))
3.657 * [taylor]: Taking taylor expansion of (* 2.0 (* (cos (/ -0.5 K)) (sqrt 1.0))) in K
3.657 * [taylor]: Taking taylor expansion of 2.0 in K
3.657 * [backup-simplify]: Simplify 2.0 into 2.0
3.657 * [taylor]: Taking taylor expansion of (* (cos (/ -0.5 K)) (sqrt 1.0)) in K
3.657 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in K
3.657 * [taylor]: Taking taylor expansion of (/ -0.5 K) in K
3.657 * [taylor]: Taking taylor expansion of -0.5 in K
3.657 * [backup-simplify]: Simplify -0.5 into -0.5
3.657 * [taylor]: Taking taylor expansion of K in K
3.657 * [backup-simplify]: Simplify 0 into 0
3.657 * [backup-simplify]: Simplify 1 into 1
3.657 * [backup-simplify]: Simplify (/ -0.5 1) into -0.5
3.657 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
3.657 * [taylor]: Taking taylor expansion of (sqrt 1.0) in K
3.657 * [taylor]: Taking taylor expansion of 1.0 in K
3.657 * [backup-simplify]: Simplify 1.0 into 1.0
3.658 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
3.658 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
3.658 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) (sqrt 1.0)) into (* (cos (/ -0.5 K)) (sqrt 1.0))
3.659 * [backup-simplify]: Simplify (* 2.0 (* (cos (/ -0.5 K)) (sqrt 1.0))) into (* 2.0 (* (cos (/ -0.5 K)) (sqrt 1.0)))
3.659 * [taylor]: Taking taylor expansion of (* 2.0 (* (cos (/ -0.5 K)) (sqrt 1.0))) in U
3.659 * [taylor]: Taking taylor expansion of 2.0 in U
3.659 * [backup-simplify]: Simplify 2.0 into 2.0
3.659 * [taylor]: Taking taylor expansion of (* (cos (/ -0.5 K)) (sqrt 1.0)) in U
3.659 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in U
3.659 * [taylor]: Taking taylor expansion of (/ -0.5 K) in U
3.659 * [taylor]: Taking taylor expansion of -0.5 in U
3.659 * [backup-simplify]: Simplify -0.5 into -0.5
3.659 * [taylor]: Taking taylor expansion of K in U
3.659 * [backup-simplify]: Simplify K into K
3.659 * [backup-simplify]: Simplify (/ -0.5 K) into (/ -0.5 K)
3.659 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
3.659 * [backup-simplify]: Simplify (sin (/ -0.5 K)) into (sin (/ -0.5 K))
3.659 * [taylor]: Taking taylor expansion of (sqrt 1.0) in U
3.659 * [taylor]: Taking taylor expansion of 1.0 in U
3.659 * [backup-simplify]: Simplify 1.0 into 1.0
3.659 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
3.660 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
3.660 * [backup-simplify]: Simplify (+ 0) into 0
3.660 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 1)) into 0
3.660 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)))) into 0
3.661 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.661 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (* 0 0)) into 0
3.661 * [backup-simplify]: Simplify (- 0) into 0
3.662 * [backup-simplify]: Simplify (+ 0 0) into 0
3.662 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -0.5 K)) (/ 0 1)))) into 0
3.663 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 (sqrt 1.0))) into 0
3.663 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (* (cos (/ -0.5 K)) (sqrt 1.0)))) into 0
3.663 * [taylor]: Taking taylor expansion of 0 in K
3.663 * [backup-simplify]: Simplify 0 into 0
3.663 * [taylor]: Taking taylor expansion of 0 in U
3.663 * [backup-simplify]: Simplify 0 into 0
3.664 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 (sqrt 1.0))) into 0
3.664 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (* (cos (/ -0.5 K)) (sqrt 1.0)))) into 0
3.664 * [taylor]: Taking taylor expansion of 0 in U
3.664 * [backup-simplify]: Simplify 0 into 0
3.665 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
3.665 * [backup-simplify]: Simplify (* (sin (/ -0.5 K)) 0) into 0
3.665 * [backup-simplify]: Simplify (- 0) into 0
3.665 * [backup-simplify]: Simplify (+ (cos (/ -0.5 K)) 0) into (cos (/ -0.5 K))
3.665 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) (sqrt 1.0)) into (* (cos (/ -0.5 K)) (sqrt 1.0))
3.666 * [backup-simplify]: Simplify (* 2.0 (* (cos (/ -0.5 K)) (sqrt 1.0))) into (* 2.0 (* (cos (/ -0.5 K)) (sqrt 1.0)))
3.666 * [backup-simplify]: Simplify (* 2.0 (* (cos (/ -0.5 K)) (sqrt 1.0))) into (* 2.0 (* (cos (/ -0.5 K)) (sqrt 1.0)))
3.666 * [backup-simplify]: Simplify (* 0.25 (/ 1 (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) into (/ 0.25 (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))
3.666 * [backup-simplify]: Simplify (+ (/ 0.25 (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) 0) into (* 0.25 (/ 1 (* (pow (cos (/ -0.5 K)) 2) (pow U 2))))
3.668 * [backup-simplify]: Simplify (/ (- (* 0.25 (/ 1 (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ 0.125 (* (pow (cos (/ -0.5 K)) 2) (* (sqrt 1.0) (pow U 2))))
3.669 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.669 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (+ (* 0 0) (* 0 1))) into 0
3.670 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
3.671 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.671 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (+ (* 0 0) (* 0 0))) into 0
3.671 * [backup-simplify]: Simplify (- 0) into 0
3.672 * [backup-simplify]: Simplify (+ 0 0) into 0
3.673 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -0.5 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.675 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) (/ 0.125 (* (pow (cos (/ -0.5 K)) 2) (* (sqrt 1.0) (pow U 2))))) (+ (* 0 0) (* 0 (sqrt 1.0)))) into (* 0.125 (/ 1 (* (cos (/ -0.5 K)) (* (sqrt 1.0) (pow U 2)))))
3.676 * [backup-simplify]: Simplify (+ (* 2.0 (* 0.125 (/ 1 (* (cos (/ -0.5 K)) (* (sqrt 1.0) (pow U 2)))))) (+ (* 0 0) (* 0 (* (cos (/ -0.5 K)) (sqrt 1.0))))) into (* 0.25 (/ 1 (* (cos (/ -0.5 K)) (* (sqrt 1.0) (pow U 2)))))
3.676 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (* (cos (/ -0.5 K)) (* (sqrt 1.0) (pow U 2))))) in K
3.677 * [taylor]: Taking taylor expansion of 0.25 in K
3.677 * [backup-simplify]: Simplify 0.25 into 0.25
3.677 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (/ -0.5 K)) (* (sqrt 1.0) (pow U 2)))) in K
3.677 * [taylor]: Taking taylor expansion of (* (cos (/ -0.5 K)) (* (sqrt 1.0) (pow U 2))) in K
3.677 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in K
3.677 * [taylor]: Taking taylor expansion of (/ -0.5 K) in K
3.677 * [taylor]: Taking taylor expansion of -0.5 in K
3.677 * [backup-simplify]: Simplify -0.5 into -0.5
3.677 * [taylor]: Taking taylor expansion of K in K
3.677 * [backup-simplify]: Simplify 0 into 0
3.677 * [backup-simplify]: Simplify 1 into 1
3.677 * [backup-simplify]: Simplify (/ -0.5 1) into -0.5
3.677 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
3.677 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (pow U 2)) in K
3.677 * [taylor]: Taking taylor expansion of (sqrt 1.0) in K
3.677 * [taylor]: Taking taylor expansion of 1.0 in K
3.677 * [backup-simplify]: Simplify 1.0 into 1.0
3.678 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
3.679 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
3.679 * [taylor]: Taking taylor expansion of (pow U 2) in K
3.679 * [taylor]: Taking taylor expansion of U in K
3.679 * [backup-simplify]: Simplify U into U
3.679 * [backup-simplify]: Simplify (* U U) into (pow U 2)
3.679 * [backup-simplify]: Simplify (* (sqrt 1.0) (pow U 2)) into (* (sqrt 1.0) (pow U 2))
3.680 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) (* (sqrt 1.0) (pow U 2))) into (* (cos (/ -0.5 K)) (* (sqrt 1.0) (pow U 2)))
3.681 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -0.5 K)) (* (sqrt 1.0) (pow U 2)))) into (/ 1 (* (cos (/ -0.5 K)) (* (sqrt 1.0) (pow U 2))))
3.681 * [backup-simplify]: Simplify (* 0.25 (/ 1 (* (cos (/ -0.5 K)) (* (sqrt 1.0) (pow U 2))))) into (/ 0.25 (* (cos (/ -0.5 K)) (* (sqrt 1.0) (pow U 2))))
3.681 * [taylor]: Taking taylor expansion of (/ 0.25 (* (cos (/ -0.5 K)) (* (sqrt 1.0) (pow U 2)))) in U
3.681 * [taylor]: Taking taylor expansion of 0.25 in U
3.681 * [backup-simplify]: Simplify 0.25 into 0.25
3.681 * [taylor]: Taking taylor expansion of (* (cos (/ -0.5 K)) (* (sqrt 1.0) (pow U 2))) in U
3.681 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in U
3.681 * [taylor]: Taking taylor expansion of (/ -0.5 K) in U
3.682 * [taylor]: Taking taylor expansion of -0.5 in U
3.682 * [backup-simplify]: Simplify -0.5 into -0.5
3.682 * [taylor]: Taking taylor expansion of K in U
3.682 * [backup-simplify]: Simplify K into K
3.682 * [backup-simplify]: Simplify (/ -0.5 K) into (/ -0.5 K)
3.682 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
3.682 * [backup-simplify]: Simplify (sin (/ -0.5 K)) into (sin (/ -0.5 K))
3.682 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (pow U 2)) in U
3.682 * [taylor]: Taking taylor expansion of (sqrt 1.0) in U
3.682 * [taylor]: Taking taylor expansion of 1.0 in U
3.682 * [backup-simplify]: Simplify 1.0 into 1.0
3.682 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
3.683 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
3.683 * [taylor]: Taking taylor expansion of (pow U 2) in U
3.683 * [taylor]: Taking taylor expansion of U in U
3.683 * [backup-simplify]: Simplify 0 into 0
3.683 * [backup-simplify]: Simplify 1 into 1
3.683 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
3.684 * [backup-simplify]: Simplify (* (sin (/ -0.5 K)) 0) into 0
3.684 * [backup-simplify]: Simplify (- 0) into 0
3.684 * [backup-simplify]: Simplify (+ (cos (/ -0.5 K)) 0) into (cos (/ -0.5 K))
3.684 * [backup-simplify]: Simplify (* 1 1) into 1
3.685 * [backup-simplify]: Simplify (* (sqrt 1.0) 1) into (sqrt 1.0)
3.685 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) (sqrt 1.0)) into (* (cos (/ -0.5 K)) (sqrt 1.0))
3.686 * [backup-simplify]: Simplify (/ 0.25 (* (cos (/ -0.5 K)) (sqrt 1.0))) into (/ 0.25 (* (cos (/ -0.5 K)) (sqrt 1.0)))
3.686 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.686 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 1)) into 0
3.687 * [backup-simplify]: Simplify (+ 0) into 0
3.687 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 1)) into 0
3.687 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)))) into 0
3.688 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.688 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (* 0 0)) into 0
3.688 * [backup-simplify]: Simplify (- 0) into 0
3.688 * [backup-simplify]: Simplify (+ 0 0) into 0
3.689 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 (sqrt 1.0))) into 0
3.690 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -0.5 K)) (sqrt 1.0))) (+ (* (/ 0.25 (* (cos (/ -0.5 K)) (sqrt 1.0))) (/ 0 (* (cos (/ -0.5 K)) (sqrt 1.0)))))) into 0
3.690 * [backup-simplify]: Simplify 0 into 0
3.690 * [taylor]: Taking taylor expansion of 0 in U
3.690 * [backup-simplify]: Simplify 0 into 0
3.690 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
3.691 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (+ (* 0 0) (* 0 (sqrt 1.0)))) into 0
3.692 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (* (cos (/ -0.5 K)) (sqrt 1.0))))) into 0
3.692 * [taylor]: Taking taylor expansion of 0 in U
3.692 * [backup-simplify]: Simplify 0 into 0
3.692 * [backup-simplify]: Simplify 0 into 0
3.692 * [backup-simplify]: Simplify 0 into 0
3.692 * [backup-simplify]: Simplify (+ 0) into 0
3.692 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 1)) into 0
3.693 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)))) into 0
3.693 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.693 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (* 0 0)) into 0
3.694 * [backup-simplify]: Simplify (- 0) into 0
3.694 * [backup-simplify]: Simplify (+ 0 0) into 0
3.694 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 (sqrt 1.0))) into 0
3.695 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (* (cos (/ -0.5 K)) (sqrt 1.0)))) into 0
3.695 * [backup-simplify]: Simplify 0 into 0
3.695 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.695 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
3.696 * [backup-simplify]: Simplify (+ 0) into 0
3.696 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 1)) into 0
3.696 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)))) into 0
3.696 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.697 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (* 0 0)) into 0
3.697 * [backup-simplify]: Simplify (- 0) into 0
3.697 * [backup-simplify]: Simplify (+ 0 0) into 0
3.697 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 (cos (/ -0.5 K)))) into 0
3.698 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -0.5 K)) 2) 0) (* 0 (pow U 2))) into 0
3.698 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) (+ (* (/ 1 (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))))) into 0
3.699 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ 1 (* (pow (cos (/ -0.5 K)) 2) (pow U 2))))) into 0
3.699 * [backup-simplify]: Simplify (+ 0 0) into 0
3.701 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.125 (* (pow (cos (/ -0.5 K)) 2) (* (sqrt 1.0) (pow U 2)))))))) (* 2 (sqrt 1.0))) into 0
3.701 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.702 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.702 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
3.703 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
3.704 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
3.704 * [backup-simplify]: Simplify (- 0) into 0
3.704 * [backup-simplify]: Simplify (+ 0 0) into 0
3.706 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -0.5 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.707 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (+ (* 0 (/ 0.125 (* (pow (cos (/ -0.5 K)) 2) (* (sqrt 1.0) (pow U 2))))) (+ (* 0 0) (* 0 (sqrt 1.0))))) into 0
3.708 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 (* 0.125 (/ 1 (* (cos (/ -0.5 K)) (* (sqrt 1.0) (pow U 2)))))) (+ (* 0 0) (* 0 (* (cos (/ -0.5 K)) (sqrt 1.0)))))) into 0
3.708 * [taylor]: Taking taylor expansion of 0 in K
3.708 * [backup-simplify]: Simplify 0 into 0
3.708 * [taylor]: Taking taylor expansion of 0 in U
3.708 * [backup-simplify]: Simplify 0 into 0
3.708 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
3.708 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (pow U 2))) into 0
3.709 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 (* (sqrt 1.0) (pow U 2)))) into 0
3.710 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (cos (/ -0.5 K)) (* (sqrt 1.0) (pow U 2)))) (/ 0 (* (cos (/ -0.5 K)) (* (sqrt 1.0) (pow U 2))))))) into 0
3.710 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ 1 (* (cos (/ -0.5 K)) (* (sqrt 1.0) (pow U 2)))))) into 0
3.710 * [taylor]: Taking taylor expansion of 0 in U
3.710 * [backup-simplify]: Simplify 0 into 0
3.710 * [taylor]: Taking taylor expansion of 0 in U
3.710 * [backup-simplify]: Simplify 0 into 0
3.711 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0
3.712 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1.0))))) into 0
3.713 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (cos (/ -0.5 K)) (sqrt 1.0)))))) into 0
3.713 * [taylor]: Taking taylor expansion of 0 in U
3.713 * [backup-simplify]: Simplify 0 into 0
3.713 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.714 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
3.715 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* 0 1))) into 0
3.715 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.716 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (+ (* 0 0) (* 0 1))) into 0
3.716 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
3.716 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.717 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (+ (* 0 0) (* 0 0))) into 0
3.717 * [backup-simplify]: Simplify (- 0) into 0
3.718 * [backup-simplify]: Simplify (+ 0 0) into 0
3.719 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (+ (* 0 0) (* 0 (sqrt 1.0)))) into 0
3.721 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -0.5 K)) (sqrt 1.0))) (+ (* (/ 0.25 (* (cos (/ -0.5 K)) (sqrt 1.0))) (/ 0 (* (cos (/ -0.5 K)) (sqrt 1.0)))) (* 0 (/ 0 (* (cos (/ -0.5 K)) (sqrt 1.0)))))) into 0
3.721 * [backup-simplify]: Simplify 0 into 0
3.721 * [backup-simplify]: Simplify 0 into 0
3.722 * [backup-simplify]: Simplify (* (* 2.0 (* (cos (/ -0.5 (/ 1 (- K)))) (sqrt 1.0))) (* 1 (* 1 (/ 1 (/ 1 (- J)))))) into (* -2.0 (* (sqrt 1.0) (* (cos (* 0.5 K)) J)))
3.722 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2)
3.722 * [backup-simplify]: Simplify (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0) into (pow (* 0.5 (/ U (* J (cos (* 0.5 K))))) 2.0)
3.722 * [approximate]: Taking taylor expansion of (pow (* 0.5 (/ U (* J (cos (* 0.5 K))))) 2.0) in (U J K) around 0
3.722 * [taylor]: Taking taylor expansion of (pow (* 0.5 (/ U (* J (cos (* 0.5 K))))) 2.0) in K
3.722 * [taylor]: Taking taylor expansion of (exp (* 2.0 (log (* 0.5 (/ U (* J (cos (* 0.5 K)))))))) in K
3.722 * [taylor]: Taking taylor expansion of (* 2.0 (log (* 0.5 (/ U (* J (cos (* 0.5 K))))))) in K
3.722 * [taylor]: Taking taylor expansion of 2.0 in K
3.722 * [backup-simplify]: Simplify 2.0 into 2.0
3.722 * [taylor]: Taking taylor expansion of (log (* 0.5 (/ U (* J (cos (* 0.5 K)))))) in K
3.722 * [taylor]: Taking taylor expansion of (* 0.5 (/ U (* J (cos (* 0.5 K))))) in K
3.722 * [taylor]: Taking taylor expansion of 0.5 in K
3.722 * [backup-simplify]: Simplify 0.5 into 0.5
3.722 * [taylor]: Taking taylor expansion of (/ U (* J (cos (* 0.5 K)))) in K
3.723 * [taylor]: Taking taylor expansion of U in K
3.723 * [backup-simplify]: Simplify U into U
3.723 * [taylor]: Taking taylor expansion of (* J (cos (* 0.5 K))) in K
3.723 * [taylor]: Taking taylor expansion of J in K
3.723 * [backup-simplify]: Simplify J into J
3.723 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in K
3.723 * [taylor]: Taking taylor expansion of (* 0.5 K) in K
3.723 * [taylor]: Taking taylor expansion of 0.5 in K
3.723 * [backup-simplify]: Simplify 0.5 into 0.5
3.723 * [taylor]: Taking taylor expansion of K in K
3.723 * [backup-simplify]: Simplify 0 into 0
3.723 * [backup-simplify]: Simplify 1 into 1
3.723 * [backup-simplify]: Simplify (* 0.5 0) into 0
3.725 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5
3.725 * [backup-simplify]: Simplify (* J 1) into J
3.725 * [backup-simplify]: Simplify (/ U J) into (/ U J)
3.725 * [backup-simplify]: Simplify (* 0.5 (/ U J)) into (* 0.5 (/ U J))
3.726 * [backup-simplify]: Simplify (log (* 0.5 (/ U J))) into (log (* 0.5 (/ U J)))
3.726 * [backup-simplify]: Simplify (* 2.0 (log (* 0.5 (/ U J)))) into (* 2.0 (log (* 0.5 (/ U J))))
3.726 * [backup-simplify]: Simplify (exp (* 2.0 (log (* 0.5 (/ U J))))) into (pow (* 0.5 (/ U J)) 2.0)
3.726 * [taylor]: Taking taylor expansion of (pow (* 0.5 (/ U (* J (cos (* 0.5 K))))) 2.0) in J
3.726 * [taylor]: Taking taylor expansion of (exp (* 2.0 (log (* 0.5 (/ U (* J (cos (* 0.5 K)))))))) in J
3.726 * [taylor]: Taking taylor expansion of (* 2.0 (log (* 0.5 (/ U (* J (cos (* 0.5 K))))))) in J
3.726 * [taylor]: Taking taylor expansion of 2.0 in J
3.726 * [backup-simplify]: Simplify 2.0 into 2.0
3.726 * [taylor]: Taking taylor expansion of (log (* 0.5 (/ U (* J (cos (* 0.5 K)))))) in J
3.726 * [taylor]: Taking taylor expansion of (* 0.5 (/ U (* J (cos (* 0.5 K))))) in J
3.726 * [taylor]: Taking taylor expansion of 0.5 in J
3.726 * [backup-simplify]: Simplify 0.5 into 0.5
3.726 * [taylor]: Taking taylor expansion of (/ U (* J (cos (* 0.5 K)))) in J
3.726 * [taylor]: Taking taylor expansion of U in J
3.726 * [backup-simplify]: Simplify U into U
3.726 * [taylor]: Taking taylor expansion of (* J (cos (* 0.5 K))) in J
3.726 * [taylor]: Taking taylor expansion of J in J
3.726 * [backup-simplify]: Simplify 0 into 0
3.726 * [backup-simplify]: Simplify 1 into 1
3.726 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in J
3.726 * [taylor]: Taking taylor expansion of (* 0.5 K) in J
3.727 * [taylor]: Taking taylor expansion of 0.5 in J
3.727 * [backup-simplify]: Simplify 0.5 into 0.5
3.727 * [taylor]: Taking taylor expansion of K in J
3.727 * [backup-simplify]: Simplify K into K
3.727 * [backup-simplify]: Simplify (* 0.5 K) into (* 0.5 K)
3.727 * [backup-simplify]: Simplify (cos (* 0.5 K)) into (cos (* 0.5 K))
3.727 * [backup-simplify]: Simplify (sin (* 0.5 K)) into (sin (* 0.5 K))
3.727 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) 1) into (cos (* 0.5 K))
3.727 * [backup-simplify]: Simplify (* (sin (* 0.5 K)) 0) into 0
3.728 * [backup-simplify]: Simplify (- 0) into 0
3.728 * [backup-simplify]: Simplify (+ (cos (* 0.5 K)) 0) into (cos (* 0.5 K))
3.728 * [backup-simplify]: Simplify (* 0 (cos (* 0.5 K))) into 0
3.728 * [backup-simplify]: Simplify (+ 0) into 0
3.729 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (* 0 1)) into 0
3.729 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 K)) into 0
3.730 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.731 * [backup-simplify]: Simplify (+ (* (sin (* 0.5 K)) 0) (* 0 0)) into 0
3.731 * [backup-simplify]: Simplify (- 0) into 0
3.731 * [backup-simplify]: Simplify (+ 0 0) into 0
3.732 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (* 0.5 K)))) into (cos (* 0.5 K))
3.732 * [backup-simplify]: Simplify (/ U (cos (* 0.5 K))) into (/ U (cos (* 0.5 K)))
3.732 * [backup-simplify]: Simplify (* 0.5 (/ U (cos (* 0.5 K)))) into (* 0.5 (/ U (cos (* 0.5 K))))
3.732 * [backup-simplify]: Simplify (log (* 0.5 (/ U (cos (* 0.5 K))))) into (log (* 0.5 (/ U (cos (* 0.5 K)))))
3.733 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) (log (* 0.5 (/ U (cos (* 0.5 K)))))) into (- (log (* 0.5 (/ U (cos (* 0.5 K))))) (log J))
3.733 * [backup-simplify]: Simplify (* 2.0 (- (log (* 0.5 (/ U (cos (* 0.5 K))))) (log J))) into (* 2.0 (- (log (* 0.5 (/ U (cos (* 0.5 K))))) (log J)))
3.734 * [backup-simplify]: Simplify (exp (* 2.0 (- (log (* 0.5 (/ U (cos (* 0.5 K))))) (log J)))) into (exp (* 2.0 (- (log (* 0.5 (/ U (cos (* 0.5 K))))) (log J))))
3.734 * [taylor]: Taking taylor expansion of (pow (* 0.5 (/ U (* J (cos (* 0.5 K))))) 2.0) in U
3.734 * [taylor]: Taking taylor expansion of (exp (* 2.0 (log (* 0.5 (/ U (* J (cos (* 0.5 K)))))))) in U
3.734 * [taylor]: Taking taylor expansion of (* 2.0 (log (* 0.5 (/ U (* J (cos (* 0.5 K))))))) in U
3.734 * [taylor]: Taking taylor expansion of 2.0 in U
3.734 * [backup-simplify]: Simplify 2.0 into 2.0
3.734 * [taylor]: Taking taylor expansion of (log (* 0.5 (/ U (* J (cos (* 0.5 K)))))) in U
3.734 * [taylor]: Taking taylor expansion of (* 0.5 (/ U (* J (cos (* 0.5 K))))) in U
3.734 * [taylor]: Taking taylor expansion of 0.5 in U
3.734 * [backup-simplify]: Simplify 0.5 into 0.5
3.734 * [taylor]: Taking taylor expansion of (/ U (* J (cos (* 0.5 K)))) in U
3.734 * [taylor]: Taking taylor expansion of U in U
3.734 * [backup-simplify]: Simplify 0 into 0
3.734 * [backup-simplify]: Simplify 1 into 1
3.734 * [taylor]: Taking taylor expansion of (* J (cos (* 0.5 K))) in U
3.734 * [taylor]: Taking taylor expansion of J in U
3.734 * [backup-simplify]: Simplify J into J
3.734 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in U
3.734 * [taylor]: Taking taylor expansion of (* 0.5 K) in U
3.734 * [taylor]: Taking taylor expansion of 0.5 in U
3.734 * [backup-simplify]: Simplify 0.5 into 0.5
3.734 * [taylor]: Taking taylor expansion of K in U
3.734 * [backup-simplify]: Simplify K into K
3.734 * [backup-simplify]: Simplify (* 0.5 K) into (* 0.5 K)
3.734 * [backup-simplify]: Simplify (cos (* 0.5 K)) into (cos (* 0.5 K))
3.734 * [backup-simplify]: Simplify (sin (* 0.5 K)) into (sin (* 0.5 K))
3.735 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) 1) into (cos (* 0.5 K))
3.735 * [backup-simplify]: Simplify (* (sin (* 0.5 K)) 0) into 0
3.735 * [backup-simplify]: Simplify (- 0) into 0
3.735 * [backup-simplify]: Simplify (+ (cos (* 0.5 K)) 0) into (cos (* 0.5 K))
3.735 * [backup-simplify]: Simplify (* J (cos (* 0.5 K))) into (* J (cos (* 0.5 K)))
3.735 * [backup-simplify]: Simplify (/ 1 (* J (cos (* 0.5 K)))) into (/ 1 (* J (cos (* 0.5 K))))
3.736 * [backup-simplify]: Simplify (* 0.5 (/ 1 (* J (cos (* 0.5 K))))) into (/ 0.5 (* J (cos (* 0.5 K))))
3.736 * [backup-simplify]: Simplify (log (/ 0.5 (* J (cos (* 0.5 K))))) into (log (/ 0.5 (* J (cos (* 0.5 K)))))
3.736 * [backup-simplify]: Simplify (+ (* (- -1) (log U)) (log (/ 0.5 (* J (cos (* 0.5 K)))))) into (+ (log (/ 0.5 (* J (cos (* 0.5 K))))) (log U))
3.736 * [backup-simplify]: Simplify (* 2.0 (+ (log (/ 0.5 (* J (cos (* 0.5 K))))) (log U))) into (* 2.0 (+ (log (/ 0.5 (* J (cos (* 0.5 K))))) (log U)))
3.737 * [backup-simplify]: Simplify (exp (* 2.0 (+ (log (/ 0.5 (* J (cos (* 0.5 K))))) (log U)))) into (exp (* 2.0 (+ (log (/ 0.5 (* J (cos (* 0.5 K))))) (log U))))
3.737 * [taylor]: Taking taylor expansion of (pow (* 0.5 (/ U (* J (cos (* 0.5 K))))) 2.0) in U
3.737 * [taylor]: Taking taylor expansion of (exp (* 2.0 (log (* 0.5 (/ U (* J (cos (* 0.5 K)))))))) in U
3.737 * [taylor]: Taking taylor expansion of (* 2.0 (log (* 0.5 (/ U (* J (cos (* 0.5 K))))))) in U
3.737 * [taylor]: Taking taylor expansion of 2.0 in U
3.737 * [backup-simplify]: Simplify 2.0 into 2.0
3.737 * [taylor]: Taking taylor expansion of (log (* 0.5 (/ U (* J (cos (* 0.5 K)))))) in U
3.737 * [taylor]: Taking taylor expansion of (* 0.5 (/ U (* J (cos (* 0.5 K))))) in U
3.737 * [taylor]: Taking taylor expansion of 0.5 in U
3.737 * [backup-simplify]: Simplify 0.5 into 0.5
3.737 * [taylor]: Taking taylor expansion of (/ U (* J (cos (* 0.5 K)))) in U
3.737 * [taylor]: Taking taylor expansion of U in U
3.737 * [backup-simplify]: Simplify 0 into 0
3.737 * [backup-simplify]: Simplify 1 into 1
3.737 * [taylor]: Taking taylor expansion of (* J (cos (* 0.5 K))) in U
3.737 * [taylor]: Taking taylor expansion of J in U
3.737 * [backup-simplify]: Simplify J into J
3.737 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in U
3.737 * [taylor]: Taking taylor expansion of (* 0.5 K) in U
3.737 * [taylor]: Taking taylor expansion of 0.5 in U
3.737 * [backup-simplify]: Simplify 0.5 into 0.5
3.737 * [taylor]: Taking taylor expansion of K in U
3.737 * [backup-simplify]: Simplify K into K
3.737 * [backup-simplify]: Simplify (* 0.5 K) into (* 0.5 K)
3.737 * [backup-simplify]: Simplify (cos (* 0.5 K)) into (cos (* 0.5 K))
3.738 * [backup-simplify]: Simplify (sin (* 0.5 K)) into (sin (* 0.5 K))
3.738 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) 1) into (cos (* 0.5 K))
3.738 * [backup-simplify]: Simplify (* (sin (* 0.5 K)) 0) into 0
3.738 * [backup-simplify]: Simplify (- 0) into 0
3.738 * [backup-simplify]: Simplify (+ (cos (* 0.5 K)) 0) into (cos (* 0.5 K))
3.738 * [backup-simplify]: Simplify (* J (cos (* 0.5 K))) into (* J (cos (* 0.5 K)))
3.738 * [backup-simplify]: Simplify (/ 1 (* J (cos (* 0.5 K)))) into (/ 1 (* J (cos (* 0.5 K))))
3.739 * [backup-simplify]: Simplify (* 0.5 (/ 1 (* J (cos (* 0.5 K))))) into (/ 0.5 (* J (cos (* 0.5 K))))
3.739 * [backup-simplify]: Simplify (log (/ 0.5 (* J (cos (* 0.5 K))))) into (log (/ 0.5 (* J (cos (* 0.5 K)))))
3.739 * [backup-simplify]: Simplify (+ (* (- -1) (log U)) (log (/ 0.5 (* J (cos (* 0.5 K)))))) into (+ (log (/ 0.5 (* J (cos (* 0.5 K))))) (log U))
3.740 * [backup-simplify]: Simplify (* 2.0 (+ (log (/ 0.5 (* J (cos (* 0.5 K))))) (log U))) into (* 2.0 (+ (log (/ 0.5 (* J (cos (* 0.5 K))))) (log U)))
3.740 * [backup-simplify]: Simplify (exp (* 2.0 (+ (log (/ 0.5 (* J (cos (* 0.5 K))))) (log U)))) into (exp (* 2.0 (+ (log (/ 0.5 (* J (cos (* 0.5 K))))) (log U))))
3.740 * [taylor]: Taking taylor expansion of (exp (* 2.0 (+ (log (/ 0.5 (* J (cos (* 0.5 K))))) (log U)))) in J
3.740 * [taylor]: Taking taylor expansion of (* 2.0 (+ (log (/ 0.5 (* J (cos (* 0.5 K))))) (log U))) in J
3.740 * [taylor]: Taking taylor expansion of 2.0 in J
3.740 * [backup-simplify]: Simplify 2.0 into 2.0
3.740 * [taylor]: Taking taylor expansion of (+ (log (/ 0.5 (* J (cos (* 0.5 K))))) (log U)) in J
3.740 * [taylor]: Taking taylor expansion of (log (/ 0.5 (* J (cos (* 0.5 K))))) in J
3.740 * [taylor]: Taking taylor expansion of (/ 0.5 (* J (cos (* 0.5 K)))) in J
3.740 * [taylor]: Taking taylor expansion of 0.5 in J
3.740 * [backup-simplify]: Simplify 0.5 into 0.5
3.740 * [taylor]: Taking taylor expansion of (* J (cos (* 0.5 K))) in J
3.740 * [taylor]: Taking taylor expansion of J in J
3.740 * [backup-simplify]: Simplify 0 into 0
3.740 * [backup-simplify]: Simplify 1 into 1
3.740 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in J
3.740 * [taylor]: Taking taylor expansion of (* 0.5 K) in J
3.740 * [taylor]: Taking taylor expansion of 0.5 in J
3.740 * [backup-simplify]: Simplify 0.5 into 0.5
3.740 * [taylor]: Taking taylor expansion of K in J
3.740 * [backup-simplify]: Simplify K into K
3.740 * [backup-simplify]: Simplify (* 0.5 K) into (* 0.5 K)
3.741 * [backup-simplify]: Simplify (cos (* 0.5 K)) into (cos (* 0.5 K))
3.741 * [backup-simplify]: Simplify (sin (* 0.5 K)) into (sin (* 0.5 K))
3.741 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) 1) into (cos (* 0.5 K))
3.741 * [backup-simplify]: Simplify (* (sin (* 0.5 K)) 0) into 0
3.741 * [backup-simplify]: Simplify (- 0) into 0
3.741 * [backup-simplify]: Simplify (+ (cos (* 0.5 K)) 0) into (cos (* 0.5 K))
3.741 * [backup-simplify]: Simplify (* 0 (cos (* 0.5 K))) into 0
3.742 * [backup-simplify]: Simplify (+ 0) into 0
3.742 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (* 0 1)) into 0
3.743 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 K)) into 0
3.743 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.744 * [backup-simplify]: Simplify (+ (* (sin (* 0.5 K)) 0) (* 0 0)) into 0
3.744 * [backup-simplify]: Simplify (- 0) into 0
3.745 * [backup-simplify]: Simplify (+ 0 0) into 0
3.745 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (* 0.5 K)))) into (cos (* 0.5 K))
3.745 * [backup-simplify]: Simplify (/ 0.5 (cos (* 0.5 K))) into (/ 0.5 (cos (* 0.5 K)))
3.746 * [backup-simplify]: Simplify (log (/ 0.5 (cos (* 0.5 K)))) into (log (/ 0.5 (cos (* 0.5 K))))
3.746 * [taylor]: Taking taylor expansion of (log U) in J
3.746 * [taylor]: Taking taylor expansion of U in J
3.746 * [backup-simplify]: Simplify U into U
3.746 * [backup-simplify]: Simplify (log U) into (log U)
3.746 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) (log (/ 0.5 (cos (* 0.5 K))))) into (- (log (/ 0.5 (cos (* 0.5 K)))) (log J))
3.747 * [backup-simplify]: Simplify (+ (- (log (/ 0.5 (cos (* 0.5 K)))) (log J)) (log U)) into (- (+ (log (/ 0.5 (cos (* 0.5 K)))) (log U)) (log J))
3.747 * [backup-simplify]: Simplify (* 2.0 (- (+ (log (/ 0.5 (cos (* 0.5 K)))) (log U)) (log J))) into (* 2.0 (- (+ (log (/ 0.5 (cos (* 0.5 K)))) (log U)) (log J)))
3.747 * [backup-simplify]: Simplify (exp (* 2.0 (- (+ (log (/ 0.5 (cos (* 0.5 K)))) (log U)) (log J)))) into (exp (* 2.0 (- (+ (log (/ 0.5 (cos (* 0.5 K)))) (log U)) (log J))))
3.747 * [taylor]: Taking taylor expansion of (exp (* 2.0 (- (+ (log (/ 0.5 (cos (* 0.5 K)))) (log U)) (log J)))) in K
3.747 * [taylor]: Taking taylor expansion of (* 2.0 (- (+ (log (/ 0.5 (cos (* 0.5 K)))) (log U)) (log J))) in K
3.747 * [taylor]: Taking taylor expansion of 2.0 in K
3.747 * [backup-simplify]: Simplify 2.0 into 2.0
3.747 * [taylor]: Taking taylor expansion of (- (+ (log (/ 0.5 (cos (* 0.5 K)))) (log U)) (log J)) in K
3.747 * [taylor]: Taking taylor expansion of (+ (log (/ 0.5 (cos (* 0.5 K)))) (log U)) in K
3.747 * [taylor]: Taking taylor expansion of (log (/ 0.5 (cos (* 0.5 K)))) in K
3.747 * [taylor]: Taking taylor expansion of (/ 0.5 (cos (* 0.5 K))) in K
3.747 * [taylor]: Taking taylor expansion of 0.5 in K
3.748 * [backup-simplify]: Simplify 0.5 into 0.5
3.748 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in K
3.748 * [taylor]: Taking taylor expansion of (* 0.5 K) in K
3.748 * [taylor]: Taking taylor expansion of 0.5 in K
3.748 * [backup-simplify]: Simplify 0.5 into 0.5
3.748 * [taylor]: Taking taylor expansion of K in K
3.748 * [backup-simplify]: Simplify 0 into 0
3.748 * [backup-simplify]: Simplify 1 into 1
3.748 * [backup-simplify]: Simplify (* 0.5 0) into 0
3.750 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5
3.750 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5
3.751 * [backup-simplify]: Simplify (log 0.5) into (log 0.5)
3.751 * [taylor]: Taking taylor expansion of (log U) in K
3.751 * [taylor]: Taking taylor expansion of U in K
3.751 * [backup-simplify]: Simplify U into U
3.751 * [backup-simplify]: Simplify (log U) into (log U)
3.751 * [taylor]: Taking taylor expansion of (log J) in K
3.751 * [taylor]: Taking taylor expansion of J in K
3.751 * [backup-simplify]: Simplify J into J
3.751 * [backup-simplify]: Simplify (log J) into (log J)
3.752 * [backup-simplify]: Simplify (+ (log 0.5) (log U)) into (+ (log 0.5) (log U))
3.752 * [backup-simplify]: Simplify (- (log J)) into (- (log J))
3.752 * [backup-simplify]: Simplify (+ (+ (log 0.5) (log U)) (- (log J))) into (- (+ (log 0.5) (log U)) (log J))
3.753 * [backup-simplify]: Simplify (* 2.0 (- (+ (log 0.5) (log U)) (log J))) into (* 2.0 (- (+ (log 0.5) (log U)) (log J)))
3.753 * [backup-simplify]: Simplify (exp (* 2.0 (- (+ (log 0.5) (log U)) (log J)))) into (exp (* 2.0 (- (+ (log 0.5) (log U)) (log J))))
3.754 * [backup-simplify]: Simplify (exp (* 2.0 (- (+ (log 0.5) (log U)) (log J)))) into (exp (* 2.0 (- (+ (log 0.5) (log U)) (log J))))
3.755 * [backup-simplify]: Simplify (+ 0) into 0
3.756 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (* 0 1)) into 0
3.756 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 K)) into 0
3.757 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.758 * [backup-simplify]: Simplify (+ (* (sin (* 0.5 K)) 0) (* 0 0)) into 0
3.758 * [backup-simplify]: Simplify (- 0) into 0
3.758 * [backup-simplify]: Simplify (+ 0 0) into 0
3.759 * [backup-simplify]: Simplify (+ (* J 0) (* 0 (cos (* 0.5 K)))) into 0
3.759 * [backup-simplify]: Simplify (- (/ 0 (* J (cos (* 0.5 K)))) (+ (* (/ 1 (* J (cos (* 0.5 K)))) (/ 0 (* J (cos (* 0.5 K))))))) into 0
3.760 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 (* J (cos (* 0.5 K)))))) into 0
3.761 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 0.5 (* J (cos (* 0.5 K)))) 1)))) 1) into 0
3.761 * [backup-simplify]: Simplify (+ (* (- -1) (log U)) (log (/ 0.5 (* J (cos (* 0.5 K)))))) into (+ (log (/ 0.5 (* J (cos (* 0.5 K))))) (log U))
3.762 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (+ (log (/ 0.5 (* J (cos (* 0.5 K))))) (log U)))) into 0
3.763 * [backup-simplify]: Simplify (* (exp (* 2.0 (+ (log (/ 0.5 (* J (cos (* 0.5 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0
3.763 * [taylor]: Taking taylor expansion of 0 in J
3.763 * [backup-simplify]: Simplify 0 into 0
3.763 * [taylor]: Taking taylor expansion of 0 in K
3.763 * [backup-simplify]: Simplify 0 into 0
3.763 * [backup-simplify]: Simplify 0 into 0
3.764 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.765 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (+ (* 0 0) (* 0 1))) into 0
3.766 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 K))) into 0
3.767 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.767 * [backup-simplify]: Simplify (+ (* (sin (* 0.5 K)) 0) (+ (* 0 0) (* 0 0))) into 0
3.768 * [backup-simplify]: Simplify (- 0) into 0
3.768 * [backup-simplify]: Simplify (+ 0 0) into 0
3.769 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (* 0.5 K))))) into 0
3.769 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 K))) (+ (* (/ 0.5 (cos (* 0.5 K))) (/ 0 (cos (* 0.5 K)))))) into 0
3.770 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 0.5 (cos (* 0.5 K))) 1)))) 1) into 0
3.771 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0
3.771 * [backup-simplify]: Simplify (+ 0 0) into 0
3.772 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (- (+ (log (/ 0.5 (cos (* 0.5 K)))) (log U)) (log J)))) into 0
3.773 * [backup-simplify]: Simplify (* (exp (* 2.0 (- (+ (log (/ 0.5 (cos (* 0.5 K)))) (log U)) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0
3.773 * [taylor]: Taking taylor expansion of 0 in K
3.773 * [backup-simplify]: Simplify 0 into 0
3.773 * [backup-simplify]: Simplify 0 into 0
3.774 * [backup-simplify]: Simplify (+ 0) into 0
3.775 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0
3.776 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 0.5 1)))) 1) into 0
3.777 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0
3.777 * [backup-simplify]: Simplify (+ 0 0) into 0
3.778 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0
3.778 * [backup-simplify]: Simplify (- 0) into 0
3.779 * [backup-simplify]: Simplify (+ 0 0) into 0
3.780 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (- (+ (log 0.5) (log U)) (log J)))) into 0
3.781 * [backup-simplify]: Simplify (* (exp (* 2.0 (- (+ (log 0.5) (log U)) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0
3.781 * [backup-simplify]: Simplify 0 into 0
3.783 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.784 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (+ (* 0 0) (* 0 1))) into 0
3.785 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 K))) into 0
3.785 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.786 * [backup-simplify]: Simplify (+ (* (sin (* 0.5 K)) 0) (+ (* 0 0) (* 0 0))) into 0
3.789 * [backup-simplify]: Simplify (- 0) into 0
3.790 * [backup-simplify]: Simplify (+ 0 0) into 0
3.790 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 (cos (* 0.5 K))))) into 0
3.791 * [backup-simplify]: Simplify (- (/ 0 (* J (cos (* 0.5 K)))) (+ (* (/ 1 (* J (cos (* 0.5 K)))) (/ 0 (* J (cos (* 0.5 K))))) (* 0 (/ 0 (* J (cos (* 0.5 K))))))) into 0
3.792 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 (* J (cos (* 0.5 K))))))) into 0
3.794 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 0.5 (* J (cos (* 0.5 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 0.5 (* J (cos (* 0.5 K)))) 1)))) 2) into 0
3.794 * [backup-simplify]: Simplify (+ (* (- -1) (log U)) (log (/ 0.5 (* J (cos (* 0.5 K)))))) into (+ (log (/ 0.5 (* J (cos (* 0.5 K))))) (log U))
3.795 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (+ (log (/ 0.5 (* J (cos (* 0.5 K))))) (log U))))) into 0
3.797 * [backup-simplify]: Simplify (* (exp (* 2.0 (+ (log (/ 0.5 (* J (cos (* 0.5 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.797 * [taylor]: Taking taylor expansion of 0 in J
3.797 * [backup-simplify]: Simplify 0 into 0
3.797 * [taylor]: Taking taylor expansion of 0 in K
3.797 * [backup-simplify]: Simplify 0 into 0
3.797 * [backup-simplify]: Simplify 0 into 0
3.797 * [taylor]: Taking taylor expansion of 0 in K
3.797 * [backup-simplify]: Simplify 0 into 0
3.797 * [backup-simplify]: Simplify 0 into 0
3.798 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.800 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.801 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0
3.802 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
3.803 * [backup-simplify]: Simplify (+ (* (sin (* 0.5 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
3.803 * [backup-simplify]: Simplify (- 0) into 0
3.804 * [backup-simplify]: Simplify (+ 0 0) into 0
3.805 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (* 0.5 K)))))) into 0
3.805 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 K))) (+ (* (/ 0.5 (cos (* 0.5 K))) (/ 0 (cos (* 0.5 K)))) (* 0 (/ 0 (cos (* 0.5 K)))))) into 0
3.807 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 0.5 (cos (* 0.5 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 0.5 (cos (* 0.5 K))) 1)))) 2) into 0
3.809 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0
3.809 * [backup-simplify]: Simplify (+ 0 0) into 0
3.810 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (- (+ (log (/ 0.5 (cos (* 0.5 K)))) (log U)) (log J))))) into 0
3.812 * [backup-simplify]: Simplify (* (exp (* 2.0 (- (+ (log (/ 0.5 (cos (* 0.5 K)))) (log U)) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.812 * [taylor]: Taking taylor expansion of 0 in K
3.812 * [backup-simplify]: Simplify 0 into 0
3.812 * [backup-simplify]: Simplify 0 into 0
3.813 * [backup-simplify]: Simplify (exp (* 2.0 (- (+ (log 0.5) (log U)) (log J)))) into (exp (* 2.0 (- (+ (log 0.5) (log U)) (log J))))
3.813 * [backup-simplify]: Simplify (pow (/ (/ 1 U) (* (* 2.0 (/ 1 J)) (cos (/ (/ 1 K) 2.0)))) 2.0) into (pow (* 0.5 (/ J (* U (cos (/ 0.5 K))))) 2.0)
3.813 * [approximate]: Taking taylor expansion of (pow (* 0.5 (/ J (* U (cos (/ 0.5 K))))) 2.0) in (U J K) around 0
3.813 * [taylor]: Taking taylor expansion of (pow (* 0.5 (/ J (* U (cos (/ 0.5 K))))) 2.0) in K
3.813 * [taylor]: Taking taylor expansion of (exp (* 2.0 (log (* 0.5 (/ J (* U (cos (/ 0.5 K)))))))) in K
3.813 * [taylor]: Taking taylor expansion of (* 2.0 (log (* 0.5 (/ J (* U (cos (/ 0.5 K))))))) in K
3.813 * [taylor]: Taking taylor expansion of 2.0 in K
3.813 * [backup-simplify]: Simplify 2.0 into 2.0
3.813 * [taylor]: Taking taylor expansion of (log (* 0.5 (/ J (* U (cos (/ 0.5 K)))))) in K
3.813 * [taylor]: Taking taylor expansion of (* 0.5 (/ J (* U (cos (/ 0.5 K))))) in K
3.814 * [taylor]: Taking taylor expansion of 0.5 in K
3.814 * [backup-simplify]: Simplify 0.5 into 0.5
3.814 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 0.5 K)))) in K
3.814 * [taylor]: Taking taylor expansion of J in K
3.814 * [backup-simplify]: Simplify J into J
3.814 * [taylor]: Taking taylor expansion of (* U (cos (/ 0.5 K))) in K
3.814 * [taylor]: Taking taylor expansion of U in K
3.814 * [backup-simplify]: Simplify U into U
3.814 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in K
3.814 * [taylor]: Taking taylor expansion of (/ 0.5 K) in K
3.814 * [taylor]: Taking taylor expansion of 0.5 in K
3.814 * [backup-simplify]: Simplify 0.5 into 0.5
3.814 * [taylor]: Taking taylor expansion of K in K
3.814 * [backup-simplify]: Simplify 0 into 0
3.814 * [backup-simplify]: Simplify 1 into 1
3.814 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5
3.814 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
3.815 * [backup-simplify]: Simplify (* U (cos (/ 0.5 K))) into (* U (cos (/ 0.5 K)))
3.815 * [backup-simplify]: Simplify (/ J (* U (cos (/ 0.5 K)))) into (/ J (* (cos (/ 0.5 K)) U))
3.815 * [backup-simplify]: Simplify (* 0.5 (/ J (* (cos (/ 0.5 K)) U))) into (* 0.5 (/ J (* (cos (/ 0.5 K)) U)))
3.815 * [backup-simplify]: Simplify (log (* 0.5 (/ J (* (cos (/ 0.5 K)) U)))) into (log (* 0.5 (/ J (* (cos (/ 0.5 K)) U))))
3.815 * [backup-simplify]: Simplify (* 2.0 (log (* 0.5 (/ J (* (cos (/ 0.5 K)) U))))) into (* 2.0 (log (* 0.5 (/ J (* (cos (/ 0.5 K)) U)))))
3.816 * [backup-simplify]: Simplify (exp (* 2.0 (log (* 0.5 (/ J (* (cos (/ 0.5 K)) U)))))) into (pow (* 0.5 (/ J (* (cos (/ 0.5 K)) U))) 2.0)
3.816 * [taylor]: Taking taylor expansion of (pow (* 0.5 (/ J (* U (cos (/ 0.5 K))))) 2.0) in J
3.816 * [taylor]: Taking taylor expansion of (exp (* 2.0 (log (* 0.5 (/ J (* U (cos (/ 0.5 K)))))))) in J
3.816 * [taylor]: Taking taylor expansion of (* 2.0 (log (* 0.5 (/ J (* U (cos (/ 0.5 K))))))) in J
3.816 * [taylor]: Taking taylor expansion of 2.0 in J
3.816 * [backup-simplify]: Simplify 2.0 into 2.0
3.816 * [taylor]: Taking taylor expansion of (log (* 0.5 (/ J (* U (cos (/ 0.5 K)))))) in J
3.816 * [taylor]: Taking taylor expansion of (* 0.5 (/ J (* U (cos (/ 0.5 K))))) in J
3.816 * [taylor]: Taking taylor expansion of 0.5 in J
3.816 * [backup-simplify]: Simplify 0.5 into 0.5
3.816 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 0.5 K)))) in J
3.816 * [taylor]: Taking taylor expansion of J in J
3.816 * [backup-simplify]: Simplify 0 into 0
3.816 * [backup-simplify]: Simplify 1 into 1
3.816 * [taylor]: Taking taylor expansion of (* U (cos (/ 0.5 K))) in J
3.816 * [taylor]: Taking taylor expansion of U in J
3.816 * [backup-simplify]: Simplify U into U
3.816 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in J
3.816 * [taylor]: Taking taylor expansion of (/ 0.5 K) in J
3.816 * [taylor]: Taking taylor expansion of 0.5 in J
3.816 * [backup-simplify]: Simplify 0.5 into 0.5
3.816 * [taylor]: Taking taylor expansion of K in J
3.816 * [backup-simplify]: Simplify K into K
3.816 * [backup-simplify]: Simplify (/ 0.5 K) into (/ 0.5 K)
3.816 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
3.816 * [backup-simplify]: Simplify (sin (/ 0.5 K)) into (sin (/ 0.5 K))
3.816 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
3.817 * [backup-simplify]: Simplify (* (sin (/ 0.5 K)) 0) into 0
3.817 * [backup-simplify]: Simplify (- 0) into 0
3.817 * [backup-simplify]: Simplify (+ (cos (/ 0.5 K)) 0) into (cos (/ 0.5 K))
3.817 * [backup-simplify]: Simplify (* U (cos (/ 0.5 K))) into (* U (cos (/ 0.5 K)))
3.817 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 0.5 K)))) into (/ 1 (* U (cos (/ 0.5 K))))
3.818 * [backup-simplify]: Simplify (* 0.5 (/ 1 (* U (cos (/ 0.5 K))))) into (/ 0.5 (* U (cos (/ 0.5 K))))
3.818 * [backup-simplify]: Simplify (log (/ 0.5 (* U (cos (/ 0.5 K))))) into (log (/ 0.5 (* U (cos (/ 0.5 K)))))
3.818 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) (log (/ 0.5 (* U (cos (/ 0.5 K)))))) into (+ (log J) (log (/ 0.5 (* U (cos (/ 0.5 K))))))
3.819 * [backup-simplify]: Simplify (* 2.0 (+ (log J) (log (/ 0.5 (* U (cos (/ 0.5 K))))))) into (* 2.0 (+ (log J) (log (/ 0.5 (* U (cos (/ 0.5 K)))))))
3.819 * [backup-simplify]: Simplify (exp (* 2.0 (+ (log J) (log (/ 0.5 (* U (cos (/ 0.5 K)))))))) into (exp (* 2.0 (+ (log J) (log (/ 0.5 (* U (cos (/ 0.5 K))))))))
3.819 * [taylor]: Taking taylor expansion of (pow (* 0.5 (/ J (* U (cos (/ 0.5 K))))) 2.0) in U
3.819 * [taylor]: Taking taylor expansion of (exp (* 2.0 (log (* 0.5 (/ J (* U (cos (/ 0.5 K)))))))) in U
3.819 * [taylor]: Taking taylor expansion of (* 2.0 (log (* 0.5 (/ J (* U (cos (/ 0.5 K))))))) in U
3.819 * [taylor]: Taking taylor expansion of 2.0 in U
3.819 * [backup-simplify]: Simplify 2.0 into 2.0
3.819 * [taylor]: Taking taylor expansion of (log (* 0.5 (/ J (* U (cos (/ 0.5 K)))))) in U
3.819 * [taylor]: Taking taylor expansion of (* 0.5 (/ J (* U (cos (/ 0.5 K))))) in U
3.819 * [taylor]: Taking taylor expansion of 0.5 in U
3.819 * [backup-simplify]: Simplify 0.5 into 0.5
3.819 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 0.5 K)))) in U
3.819 * [taylor]: Taking taylor expansion of J in U
3.819 * [backup-simplify]: Simplify J into J
3.819 * [taylor]: Taking taylor expansion of (* U (cos (/ 0.5 K))) in U
3.819 * [taylor]: Taking taylor expansion of U in U
3.819 * [backup-simplify]: Simplify 0 into 0
3.819 * [backup-simplify]: Simplify 1 into 1
3.819 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in U
3.819 * [taylor]: Taking taylor expansion of (/ 0.5 K) in U
3.819 * [taylor]: Taking taylor expansion of 0.5 in U
3.819 * [backup-simplify]: Simplify 0.5 into 0.5
3.820 * [taylor]: Taking taylor expansion of K in U
3.820 * [backup-simplify]: Simplify K into K
3.820 * [backup-simplify]: Simplify (/ 0.5 K) into (/ 0.5 K)
3.820 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
3.820 * [backup-simplify]: Simplify (sin (/ 0.5 K)) into (sin (/ 0.5 K))
3.820 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
3.820 * [backup-simplify]: Simplify (* (sin (/ 0.5 K)) 0) into 0
3.820 * [backup-simplify]: Simplify (- 0) into 0
3.820 * [backup-simplify]: Simplify (+ (cos (/ 0.5 K)) 0) into (cos (/ 0.5 K))
3.821 * [backup-simplify]: Simplify (* 0 (cos (/ 0.5 K))) into 0
3.821 * [backup-simplify]: Simplify (+ 0) into 0
3.821 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 1)) into 0
3.822 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)))) into 0
3.822 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.823 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (* 0 0)) into 0
3.823 * [backup-simplify]: Simplify (- 0) into 0
3.823 * [backup-simplify]: Simplify (+ 0 0) into 0
3.824 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 0.5 K)))) into (cos (/ 0.5 K))
3.824 * [backup-simplify]: Simplify (/ J (cos (/ 0.5 K))) into (/ J (cos (/ 0.5 K)))
3.824 * [backup-simplify]: Simplify (* 0.5 (/ J (cos (/ 0.5 K)))) into (* 0.5 (/ J (cos (/ 0.5 K))))
3.824 * [backup-simplify]: Simplify (log (* 0.5 (/ J (cos (/ 0.5 K))))) into (log (* 0.5 (/ J (cos (/ 0.5 K)))))
3.825 * [backup-simplify]: Simplify (+ (* (- 1) (log U)) (log (* 0.5 (/ J (cos (/ 0.5 K)))))) into (- (log (* 0.5 (/ J (cos (/ 0.5 K))))) (log U))
3.825 * [backup-simplify]: Simplify (* 2.0 (- (log (* 0.5 (/ J (cos (/ 0.5 K))))) (log U))) into (* 2.0 (- (log (* 0.5 (/ J (cos (/ 0.5 K))))) (log U)))
3.825 * [backup-simplify]: Simplify (exp (* 2.0 (- (log (* 0.5 (/ J (cos (/ 0.5 K))))) (log U)))) into (exp (* 2.0 (- (log (* 0.5 (/ J (cos (/ 0.5 K))))) (log U))))
3.826 * [taylor]: Taking taylor expansion of (pow (* 0.5 (/ J (* U (cos (/ 0.5 K))))) 2.0) in U
3.826 * [taylor]: Taking taylor expansion of (exp (* 2.0 (log (* 0.5 (/ J (* U (cos (/ 0.5 K)))))))) in U
3.826 * [taylor]: Taking taylor expansion of (* 2.0 (log (* 0.5 (/ J (* U (cos (/ 0.5 K))))))) in U
3.826 * [taylor]: Taking taylor expansion of 2.0 in U
3.826 * [backup-simplify]: Simplify 2.0 into 2.0
3.826 * [taylor]: Taking taylor expansion of (log (* 0.5 (/ J (* U (cos (/ 0.5 K)))))) in U
3.826 * [taylor]: Taking taylor expansion of (* 0.5 (/ J (* U (cos (/ 0.5 K))))) in U
3.826 * [taylor]: Taking taylor expansion of 0.5 in U
3.826 * [backup-simplify]: Simplify 0.5 into 0.5
3.826 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 0.5 K)))) in U
3.826 * [taylor]: Taking taylor expansion of J in U
3.826 * [backup-simplify]: Simplify J into J
3.826 * [taylor]: Taking taylor expansion of (* U (cos (/ 0.5 K))) in U
3.826 * [taylor]: Taking taylor expansion of U in U
3.826 * [backup-simplify]: Simplify 0 into 0
3.826 * [backup-simplify]: Simplify 1 into 1
3.826 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in U
3.826 * [taylor]: Taking taylor expansion of (/ 0.5 K) in U
3.826 * [taylor]: Taking taylor expansion of 0.5 in U
3.826 * [backup-simplify]: Simplify 0.5 into 0.5
3.826 * [taylor]: Taking taylor expansion of K in U
3.826 * [backup-simplify]: Simplify K into K
3.826 * [backup-simplify]: Simplify (/ 0.5 K) into (/ 0.5 K)
3.826 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
3.826 * [backup-simplify]: Simplify (sin (/ 0.5 K)) into (sin (/ 0.5 K))
3.827 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
3.827 * [backup-simplify]: Simplify (* (sin (/ 0.5 K)) 0) into 0
3.827 * [backup-simplify]: Simplify (- 0) into 0
3.827 * [backup-simplify]: Simplify (+ (cos (/ 0.5 K)) 0) into (cos (/ 0.5 K))
3.827 * [backup-simplify]: Simplify (* 0 (cos (/ 0.5 K))) into 0
3.828 * [backup-simplify]: Simplify (+ 0) into 0
3.828 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 1)) into 0
3.828 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)))) into 0
3.829 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.830 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (* 0 0)) into 0
3.830 * [backup-simplify]: Simplify (- 0) into 0
3.830 * [backup-simplify]: Simplify (+ 0 0) into 0
3.831 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 0.5 K)))) into (cos (/ 0.5 K))
3.831 * [backup-simplify]: Simplify (/ J (cos (/ 0.5 K))) into (/ J (cos (/ 0.5 K)))
3.831 * [backup-simplify]: Simplify (* 0.5 (/ J (cos (/ 0.5 K)))) into (* 0.5 (/ J (cos (/ 0.5 K))))
3.831 * [backup-simplify]: Simplify (log (* 0.5 (/ J (cos (/ 0.5 K))))) into (log (* 0.5 (/ J (cos (/ 0.5 K)))))
3.832 * [backup-simplify]: Simplify (+ (* (- 1) (log U)) (log (* 0.5 (/ J (cos (/ 0.5 K)))))) into (- (log (* 0.5 (/ J (cos (/ 0.5 K))))) (log U))
3.832 * [backup-simplify]: Simplify (* 2.0 (- (log (* 0.5 (/ J (cos (/ 0.5 K))))) (log U))) into (* 2.0 (- (log (* 0.5 (/ J (cos (/ 0.5 K))))) (log U)))
3.832 * [backup-simplify]: Simplify (exp (* 2.0 (- (log (* 0.5 (/ J (cos (/ 0.5 K))))) (log U)))) into (exp (* 2.0 (- (log (* 0.5 (/ J (cos (/ 0.5 K))))) (log U))))
3.833 * [taylor]: Taking taylor expansion of (exp (* 2.0 (- (log (* 0.5 (/ J (cos (/ 0.5 K))))) (log U)))) in J
3.833 * [taylor]: Taking taylor expansion of (* 2.0 (- (log (* 0.5 (/ J (cos (/ 0.5 K))))) (log U))) in J
3.833 * [taylor]: Taking taylor expansion of 2.0 in J
3.833 * [backup-simplify]: Simplify 2.0 into 2.0
3.833 * [taylor]: Taking taylor expansion of (- (log (* 0.5 (/ J (cos (/ 0.5 K))))) (log U)) in J
3.833 * [taylor]: Taking taylor expansion of (log (* 0.5 (/ J (cos (/ 0.5 K))))) in J
3.833 * [taylor]: Taking taylor expansion of (* 0.5 (/ J (cos (/ 0.5 K)))) in J
3.833 * [taylor]: Taking taylor expansion of 0.5 in J
3.833 * [backup-simplify]: Simplify 0.5 into 0.5
3.833 * [taylor]: Taking taylor expansion of (/ J (cos (/ 0.5 K))) in J
3.833 * [taylor]: Taking taylor expansion of J in J
3.833 * [backup-simplify]: Simplify 0 into 0
3.833 * [backup-simplify]: Simplify 1 into 1
3.833 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in J
3.833 * [taylor]: Taking taylor expansion of (/ 0.5 K) in J
3.833 * [taylor]: Taking taylor expansion of 0.5 in J
3.833 * [backup-simplify]: Simplify 0.5 into 0.5
3.833 * [taylor]: Taking taylor expansion of K in J
3.833 * [backup-simplify]: Simplify K into K
3.833 * [backup-simplify]: Simplify (/ 0.5 K) into (/ 0.5 K)
3.833 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
3.833 * [backup-simplify]: Simplify (sin (/ 0.5 K)) into (sin (/ 0.5 K))
3.833 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
3.834 * [backup-simplify]: Simplify (* (sin (/ 0.5 K)) 0) into 0
3.834 * [backup-simplify]: Simplify (- 0) into 0
3.834 * [backup-simplify]: Simplify (+ (cos (/ 0.5 K)) 0) into (cos (/ 0.5 K))
3.834 * [backup-simplify]: Simplify (/ 1 (cos (/ 0.5 K))) into (/ 1 (cos (/ 0.5 K)))
3.834 * [backup-simplify]: Simplify (* 0.5 (/ 1 (cos (/ 0.5 K)))) into (/ 0.5 (cos (/ 0.5 K)))
3.834 * [backup-simplify]: Simplify (log (/ 0.5 (cos (/ 0.5 K)))) into (log (/ 0.5 (cos (/ 0.5 K))))
3.834 * [taylor]: Taking taylor expansion of (log U) in J
3.834 * [taylor]: Taking taylor expansion of U in J
3.835 * [backup-simplify]: Simplify U into U
3.835 * [backup-simplify]: Simplify (log U) into (log U)
3.835 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) (log (/ 0.5 (cos (/ 0.5 K))))) into (+ (log J) (log (/ 0.5 (cos (/ 0.5 K)))))
3.835 * [backup-simplify]: Simplify (- (log U)) into (- (log U))
3.835 * [backup-simplify]: Simplify (+ (+ (log J) (log (/ 0.5 (cos (/ 0.5 K))))) (- (log U))) into (- (+ (log J) (log (/ 0.5 (cos (/ 0.5 K))))) (log U))
3.836 * [backup-simplify]: Simplify (* 2.0 (- (+ (log J) (log (/ 0.5 (cos (/ 0.5 K))))) (log U))) into (* 2.0 (- (+ (log J) (log (/ 0.5 (cos (/ 0.5 K))))) (log U)))
3.836 * [backup-simplify]: Simplify (exp (* 2.0 (- (+ (log J) (log (/ 0.5 (cos (/ 0.5 K))))) (log U)))) into (exp (* 2.0 (- (+ (log J) (log (/ 0.5 (cos (/ 0.5 K))))) (log U))))
3.836 * [taylor]: Taking taylor expansion of (exp (* 2.0 (- (+ (log J) (log (/ 0.5 (cos (/ 0.5 K))))) (log U)))) in K
3.836 * [taylor]: Taking taylor expansion of (* 2.0 (- (+ (log J) (log (/ 0.5 (cos (/ 0.5 K))))) (log U))) in K
3.836 * [taylor]: Taking taylor expansion of 2.0 in K
3.836 * [backup-simplify]: Simplify 2.0 into 2.0
3.836 * [taylor]: Taking taylor expansion of (- (+ (log J) (log (/ 0.5 (cos (/ 0.5 K))))) (log U)) in K
3.836 * [taylor]: Taking taylor expansion of (+ (log J) (log (/ 0.5 (cos (/ 0.5 K))))) in K
3.836 * [taylor]: Taking taylor expansion of (log J) in K
3.836 * [taylor]: Taking taylor expansion of J in K
3.836 * [backup-simplify]: Simplify J into J
3.836 * [backup-simplify]: Simplify (log J) into (log J)
3.836 * [taylor]: Taking taylor expansion of (log (/ 0.5 (cos (/ 0.5 K)))) in K
3.837 * [taylor]: Taking taylor expansion of (/ 0.5 (cos (/ 0.5 K))) in K
3.837 * [taylor]: Taking taylor expansion of 0.5 in K
3.837 * [backup-simplify]: Simplify 0.5 into 0.5
3.837 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in K
3.837 * [taylor]: Taking taylor expansion of (/ 0.5 K) in K
3.837 * [taylor]: Taking taylor expansion of 0.5 in K
3.837 * [backup-simplify]: Simplify 0.5 into 0.5
3.837 * [taylor]: Taking taylor expansion of K in K
3.837 * [backup-simplify]: Simplify 0 into 0
3.837 * [backup-simplify]: Simplify 1 into 1
3.837 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5
3.837 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
3.837 * [backup-simplify]: Simplify (/ 0.5 (cos (/ 0.5 K))) into (/ 0.5 (cos (/ 0.5 K)))
3.838 * [backup-simplify]: Simplify (log (/ 0.5 (cos (/ 0.5 K)))) into (log (/ 0.5 (cos (/ 0.5 K))))
3.838 * [taylor]: Taking taylor expansion of (log U) in K
3.838 * [taylor]: Taking taylor expansion of U in K
3.838 * [backup-simplify]: Simplify U into U
3.838 * [backup-simplify]: Simplify (log U) into (log U)
3.838 * [backup-simplify]: Simplify (+ (log J) (log (/ 0.5 (cos (/ 0.5 K))))) into (+ (log J) (log (/ 0.5 (cos (/ 0.5 K)))))
3.838 * [backup-simplify]: Simplify (- (log U)) into (- (log U))
3.838 * [backup-simplify]: Simplify (+ (+ (log J) (log (/ 0.5 (cos (/ 0.5 K))))) (- (log U))) into (- (+ (log J) (log (/ 0.5 (cos (/ 0.5 K))))) (log U))
3.839 * [backup-simplify]: Simplify (* 2.0 (- (+ (log J) (log (/ 0.5 (cos (/ 0.5 K))))) (log U))) into (* 2.0 (- (+ (log J) (log (/ 0.5 (cos (/ 0.5 K))))) (log U)))
3.839 * [backup-simplify]: Simplify (exp (* 2.0 (- (+ (log J) (log (/ 0.5 (cos (/ 0.5 K))))) (log U)))) into (exp (* 2.0 (- (+ (log J) (log (/ 0.5 (cos (/ 0.5 K))))) (log U))))
3.839 * [backup-simplify]: Simplify (exp (* 2.0 (- (+ (log J) (log (/ 0.5 (cos (/ 0.5 K))))) (log U)))) into (exp (* 2.0 (- (+ (log J) (log (/ 0.5 (cos (/ 0.5 K))))) (log U))))
3.840 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.841 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (+ (* 0 0) (* 0 1))) into 0
3.841 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
3.842 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.843 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (+ (* 0 0) (* 0 0))) into 0
3.843 * [backup-simplify]: Simplify (- 0) into 0
3.843 * [backup-simplify]: Simplify (+ 0 0) into 0
3.844 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 0.5 K))))) into 0
3.845 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 0.5 K))) (+ (* (/ J (cos (/ 0.5 K))) (/ 0 (cos (/ 0.5 K)))))) into 0
3.845 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ J (cos (/ 0.5 K))))) into 0
3.846 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 0.5 (/ J (cos (/ 0.5 K)))) 1)))) 1) into 0
3.847 * [backup-simplify]: Simplify (+ (* (- 1) (log U)) (log (* 0.5 (/ J (cos (/ 0.5 K)))))) into (- (log (* 0.5 (/ J (cos (/ 0.5 K))))) (log U))
3.847 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (- (log (* 0.5 (/ J (cos (/ 0.5 K))))) (log U)))) into 0
3.848 * [backup-simplify]: Simplify (* (exp (* 2.0 (- (log (* 0.5 (/ J (cos (/ 0.5 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0
3.848 * [taylor]: Taking taylor expansion of 0 in J
3.848 * [backup-simplify]: Simplify 0 into 0
3.848 * [taylor]: Taking taylor expansion of 0 in K
3.848 * [backup-simplify]: Simplify 0 into 0
3.848 * [backup-simplify]: Simplify 0 into 0
3.849 * [backup-simplify]: Simplify (+ 0) into 0
3.849 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 1)) into 0
3.849 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)))) into 0
3.849 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.850 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (* 0 0)) into 0
3.850 * [backup-simplify]: Simplify (- 0) into 0
3.850 * [backup-simplify]: Simplify (+ 0 0) into 0
3.850 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 0.5 K))) (+ (* (/ 1 (cos (/ 0.5 K))) (/ 0 (cos (/ 0.5 K)))))) into 0
3.851 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 (cos (/ 0.5 K))))) into 0
3.851 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 0.5 (cos (/ 0.5 K))) 1)))) 1) into 0
3.852 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0
3.852 * [backup-simplify]: Simplify (- 0) into 0
3.852 * [backup-simplify]: Simplify (+ 0 0) into 0
3.853 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (- (+ (log J) (log (/ 0.5 (cos (/ 0.5 K))))) (log U)))) into 0
3.853 * [backup-simplify]: Simplify (* (exp (* 2.0 (- (+ (log J) (log (/ 0.5 (cos (/ 0.5 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0
3.853 * [taylor]: Taking taylor expansion of 0 in K
3.853 * [backup-simplify]: Simplify 0 into 0
3.853 * [backup-simplify]: Simplify 0 into 0
3.854 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0
3.854 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 0.5 K))) (+ (* (/ 0.5 (cos (/ 0.5 K))) (/ 0 (cos (/ 0.5 K)))))) into 0
3.855 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 0.5 (cos (/ 0.5 K))) 1)))) 1) into 0
3.855 * [backup-simplify]: Simplify (+ 0 0) into 0
3.855 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0
3.856 * [backup-simplify]: Simplify (- 0) into 0
3.856 * [backup-simplify]: Simplify (+ 0 0) into 0
3.856 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (- (+ (log J) (log (/ 0.5 (cos (/ 0.5 K))))) (log U)))) into 0
3.857 * [backup-simplify]: Simplify (* (exp (* 2.0 (- (+ (log J) (log (/ 0.5 (cos (/ 0.5 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0
3.857 * [backup-simplify]: Simplify 0 into 0
3.857 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.858 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.858 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
3.859 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
3.860 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
3.860 * [backup-simplify]: Simplify (- 0) into 0
3.860 * [backup-simplify]: Simplify (+ 0 0) into 0
3.861 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 0.5 K)))))) into 0
3.861 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 0.5 K))) (+ (* (/ J (cos (/ 0.5 K))) (/ 0 (cos (/ 0.5 K)))) (* 0 (/ 0 (cos (/ 0.5 K)))))) into 0
3.862 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ J (cos (/ 0.5 K)))))) into 0
3.863 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 0.5 (/ J (cos (/ 0.5 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 0.5 (/ J (cos (/ 0.5 K)))) 1)))) 2) into 0
3.863 * [backup-simplify]: Simplify (+ (* (- 1) (log U)) (log (* 0.5 (/ J (cos (/ 0.5 K)))))) into (- (log (* 0.5 (/ J (cos (/ 0.5 K))))) (log U))
3.864 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (- (log (* 0.5 (/ J (cos (/ 0.5 K))))) (log U))))) into 0
3.865 * [backup-simplify]: Simplify (* (exp (* 2.0 (- (log (* 0.5 (/ J (cos (/ 0.5 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.865 * [taylor]: Taking taylor expansion of 0 in J
3.865 * [backup-simplify]: Simplify 0 into 0
3.865 * [taylor]: Taking taylor expansion of 0 in K
3.865 * [backup-simplify]: Simplify 0 into 0
3.865 * [backup-simplify]: Simplify 0 into 0
3.865 * [taylor]: Taking taylor expansion of 0 in K
3.865 * [backup-simplify]: Simplify 0 into 0
3.865 * [backup-simplify]: Simplify 0 into 0
3.865 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.866 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (+ (* 0 0) (* 0 1))) into 0
3.866 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
3.867 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.867 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (+ (* 0 0) (* 0 0))) into 0
3.867 * [backup-simplify]: Simplify (- 0) into 0
3.867 * [backup-simplify]: Simplify (+ 0 0) into 0
3.868 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 0.5 K))) (+ (* (/ 1 (cos (/ 0.5 K))) (/ 0 (cos (/ 0.5 K)))) (* 0 (/ 0 (cos (/ 0.5 K)))))) into 0
3.868 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 0.5 K)))))) into 0
3.869 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 0.5 (cos (/ 0.5 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 0.5 (cos (/ 0.5 K))) 1)))) 2) into 0
3.870 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0
3.871 * [backup-simplify]: Simplify (- 0) into 0
3.871 * [backup-simplify]: Simplify (+ 0 0) into 0
3.871 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (- (+ (log J) (log (/ 0.5 (cos (/ 0.5 K))))) (log U))))) into 0
3.872 * [backup-simplify]: Simplify (* (exp (* 2.0 (- (+ (log J) (log (/ 0.5 (cos (/ 0.5 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.872 * [taylor]: Taking taylor expansion of 0 in K
3.872 * [backup-simplify]: Simplify 0 into 0
3.872 * [backup-simplify]: Simplify 0 into 0
3.873 * [backup-simplify]: Simplify (exp (* 2.0 (- (+ (log (/ 1 J)) (log (/ 0.5 (cos (/ 0.5 (/ 1 K)))))) (log (/ 1 U))))) into (exp (* 2.0 (- (+ (log (/ 0.5 (cos (* 0.5 K)))) (log (/ 1 J))) (log (/ 1 U)))))
3.873 * [backup-simplify]: Simplify (pow (/ (/ 1 (- U)) (* (* 2.0 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2.0)))) 2.0) into (pow (* 0.5 (/ J (* (cos (/ -0.5 K)) U))) 2.0)
3.873 * [approximate]: Taking taylor expansion of (pow (* 0.5 (/ J (* (cos (/ -0.5 K)) U))) 2.0) in (U J K) around 0
3.873 * [taylor]: Taking taylor expansion of (pow (* 0.5 (/ J (* (cos (/ -0.5 K)) U))) 2.0) in K
3.873 * [taylor]: Taking taylor expansion of (exp (* 2.0 (log (* 0.5 (/ J (* (cos (/ -0.5 K)) U)))))) in K
3.873 * [taylor]: Taking taylor expansion of (* 2.0 (log (* 0.5 (/ J (* (cos (/ -0.5 K)) U))))) in K
3.873 * [taylor]: Taking taylor expansion of 2.0 in K
3.873 * [backup-simplify]: Simplify 2.0 into 2.0
3.873 * [taylor]: Taking taylor expansion of (log (* 0.5 (/ J (* (cos (/ -0.5 K)) U)))) in K
3.873 * [taylor]: Taking taylor expansion of (* 0.5 (/ J (* (cos (/ -0.5 K)) U))) in K
3.873 * [taylor]: Taking taylor expansion of 0.5 in K
3.873 * [backup-simplify]: Simplify 0.5 into 0.5
3.873 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -0.5 K)) U)) in K
3.873 * [taylor]: Taking taylor expansion of J in K
3.873 * [backup-simplify]: Simplify J into J
3.873 * [taylor]: Taking taylor expansion of (* (cos (/ -0.5 K)) U) in K
3.873 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in K
3.873 * [taylor]: Taking taylor expansion of (/ -0.5 K) in K
3.873 * [taylor]: Taking taylor expansion of -0.5 in K
3.873 * [backup-simplify]: Simplify -0.5 into -0.5
3.873 * [taylor]: Taking taylor expansion of K in K
3.873 * [backup-simplify]: Simplify 0 into 0
3.873 * [backup-simplify]: Simplify 1 into 1
3.874 * [backup-simplify]: Simplify (/ -0.5 1) into -0.5
3.874 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
3.874 * [taylor]: Taking taylor expansion of U in K
3.874 * [backup-simplify]: Simplify U into U
3.874 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) U) into (* (cos (/ -0.5 K)) U)
3.874 * [backup-simplify]: Simplify (/ J (* (cos (/ -0.5 K)) U)) into (/ J (* (cos (/ -0.5 K)) U))
3.874 * [backup-simplify]: Simplify (* 0.5 (/ J (* (cos (/ -0.5 K)) U))) into (* 0.5 (/ J (* (cos (/ -0.5 K)) U)))
3.874 * [backup-simplify]: Simplify (log (* 0.5 (/ J (* (cos (/ -0.5 K)) U)))) into (log (* 0.5 (/ J (* (cos (/ -0.5 K)) U))))
3.874 * [backup-simplify]: Simplify (* 2.0 (log (* 0.5 (/ J (* (cos (/ -0.5 K)) U))))) into (* 2.0 (log (* 0.5 (/ J (* (cos (/ -0.5 K)) U)))))
3.874 * [backup-simplify]: Simplify (exp (* 2.0 (log (* 0.5 (/ J (* (cos (/ -0.5 K)) U)))))) into (pow (* 0.5 (/ J (* (cos (/ -0.5 K)) U))) 2.0)
3.874 * [taylor]: Taking taylor expansion of (pow (* 0.5 (/ J (* (cos (/ -0.5 K)) U))) 2.0) in J
3.874 * [taylor]: Taking taylor expansion of (exp (* 2.0 (log (* 0.5 (/ J (* (cos (/ -0.5 K)) U)))))) in J
3.874 * [taylor]: Taking taylor expansion of (* 2.0 (log (* 0.5 (/ J (* (cos (/ -0.5 K)) U))))) in J
3.874 * [taylor]: Taking taylor expansion of 2.0 in J
3.874 * [backup-simplify]: Simplify 2.0 into 2.0
3.874 * [taylor]: Taking taylor expansion of (log (* 0.5 (/ J (* (cos (/ -0.5 K)) U)))) in J
3.874 * [taylor]: Taking taylor expansion of (* 0.5 (/ J (* (cos (/ -0.5 K)) U))) in J
3.874 * [taylor]: Taking taylor expansion of 0.5 in J
3.874 * [backup-simplify]: Simplify 0.5 into 0.5
3.874 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -0.5 K)) U)) in J
3.874 * [taylor]: Taking taylor expansion of J in J
3.874 * [backup-simplify]: Simplify 0 into 0
3.874 * [backup-simplify]: Simplify 1 into 1
3.874 * [taylor]: Taking taylor expansion of (* (cos (/ -0.5 K)) U) in J
3.875 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in J
3.875 * [taylor]: Taking taylor expansion of (/ -0.5 K) in J
3.875 * [taylor]: Taking taylor expansion of -0.5 in J
3.875 * [backup-simplify]: Simplify -0.5 into -0.5
3.875 * [taylor]: Taking taylor expansion of K in J
3.875 * [backup-simplify]: Simplify K into K
3.875 * [backup-simplify]: Simplify (/ -0.5 K) into (/ -0.5 K)
3.875 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
3.875 * [backup-simplify]: Simplify (sin (/ -0.5 K)) into (sin (/ -0.5 K))
3.875 * [taylor]: Taking taylor expansion of U in J
3.875 * [backup-simplify]: Simplify U into U
3.875 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
3.875 * [backup-simplify]: Simplify (* (sin (/ -0.5 K)) 0) into 0
3.875 * [backup-simplify]: Simplify (- 0) into 0
3.875 * [backup-simplify]: Simplify (+ (cos (/ -0.5 K)) 0) into (cos (/ -0.5 K))
3.875 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) U) into (* (cos (/ -0.5 K)) U)
3.875 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -0.5 K)) U)) into (/ 1 (* (cos (/ -0.5 K)) U))
3.875 * [backup-simplify]: Simplify (* 0.5 (/ 1 (* (cos (/ -0.5 K)) U))) into (/ 0.5 (* (cos (/ -0.5 K)) U))
3.876 * [backup-simplify]: Simplify (log (/ 0.5 (* (cos (/ -0.5 K)) U))) into (log (/ 0.5 (* (cos (/ -0.5 K)) U)))
3.876 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) (log (/ 0.5 (* (cos (/ -0.5 K)) U)))) into (+ (log J) (log (/ 0.5 (* (cos (/ -0.5 K)) U))))
3.876 * [backup-simplify]: Simplify (* 2.0 (+ (log J) (log (/ 0.5 (* (cos (/ -0.5 K)) U))))) into (* 2.0 (+ (log J) (log (/ 0.5 (* (cos (/ -0.5 K)) U)))))
3.876 * [backup-simplify]: Simplify (exp (* 2.0 (+ (log J) (log (/ 0.5 (* (cos (/ -0.5 K)) U)))))) into (exp (* 2.0 (+ (log J) (log (/ 0.5 (* (cos (/ -0.5 K)) U))))))
3.876 * [taylor]: Taking taylor expansion of (pow (* 0.5 (/ J (* (cos (/ -0.5 K)) U))) 2.0) in U
3.876 * [taylor]: Taking taylor expansion of (exp (* 2.0 (log (* 0.5 (/ J (* (cos (/ -0.5 K)) U)))))) in U
3.876 * [taylor]: Taking taylor expansion of (* 2.0 (log (* 0.5 (/ J (* (cos (/ -0.5 K)) U))))) in U
3.876 * [taylor]: Taking taylor expansion of 2.0 in U
3.876 * [backup-simplify]: Simplify 2.0 into 2.0
3.876 * [taylor]: Taking taylor expansion of (log (* 0.5 (/ J (* (cos (/ -0.5 K)) U)))) in U
3.876 * [taylor]: Taking taylor expansion of (* 0.5 (/ J (* (cos (/ -0.5 K)) U))) in U
3.876 * [taylor]: Taking taylor expansion of 0.5 in U
3.876 * [backup-simplify]: Simplify 0.5 into 0.5
3.876 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -0.5 K)) U)) in U
3.876 * [taylor]: Taking taylor expansion of J in U
3.876 * [backup-simplify]: Simplify J into J
3.876 * [taylor]: Taking taylor expansion of (* (cos (/ -0.5 K)) U) in U
3.876 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in U
3.876 * [taylor]: Taking taylor expansion of (/ -0.5 K) in U
3.877 * [taylor]: Taking taylor expansion of -0.5 in U
3.877 * [backup-simplify]: Simplify -0.5 into -0.5
3.877 * [taylor]: Taking taylor expansion of K in U
3.877 * [backup-simplify]: Simplify K into K
3.877 * [backup-simplify]: Simplify (/ -0.5 K) into (/ -0.5 K)
3.877 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
3.877 * [backup-simplify]: Simplify (sin (/ -0.5 K)) into (sin (/ -0.5 K))
3.877 * [taylor]: Taking taylor expansion of U in U
3.877 * [backup-simplify]: Simplify 0 into 0
3.877 * [backup-simplify]: Simplify 1 into 1
3.877 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
3.877 * [backup-simplify]: Simplify (* (sin (/ -0.5 K)) 0) into 0
3.877 * [backup-simplify]: Simplify (- 0) into 0
3.877 * [backup-simplify]: Simplify (+ (cos (/ -0.5 K)) 0) into (cos (/ -0.5 K))
3.877 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) 0) into 0
3.877 * [backup-simplify]: Simplify (+ 0) into 0
3.878 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 1)) into 0
3.878 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)))) into 0
3.878 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.879 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (* 0 0)) into 0
3.879 * [backup-simplify]: Simplify (- 0) into 0
3.879 * [backup-simplify]: Simplify (+ 0 0) into 0
3.879 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 1) (* 0 0)) into (cos (/ -0.5 K))
3.880 * [backup-simplify]: Simplify (/ J (cos (/ -0.5 K))) into (/ J (cos (/ -0.5 K)))
3.880 * [backup-simplify]: Simplify (* 0.5 (/ J (cos (/ -0.5 K)))) into (* 0.5 (/ J (cos (/ -0.5 K))))
3.880 * [backup-simplify]: Simplify (log (* 0.5 (/ J (cos (/ -0.5 K))))) into (log (* 0.5 (/ J (cos (/ -0.5 K)))))
3.880 * [backup-simplify]: Simplify (+ (* (- 1) (log U)) (log (* 0.5 (/ J (cos (/ -0.5 K)))))) into (- (log (* 0.5 (/ J (cos (/ -0.5 K))))) (log U))
3.880 * [backup-simplify]: Simplify (* 2.0 (- (log (* 0.5 (/ J (cos (/ -0.5 K))))) (log U))) into (* 2.0 (- (log (* 0.5 (/ J (cos (/ -0.5 K))))) (log U)))
3.881 * [backup-simplify]: Simplify (exp (* 2.0 (- (log (* 0.5 (/ J (cos (/ -0.5 K))))) (log U)))) into (exp (* 2.0 (- (log (* 0.5 (/ J (cos (/ -0.5 K))))) (log U))))
3.881 * [taylor]: Taking taylor expansion of (pow (* 0.5 (/ J (* (cos (/ -0.5 K)) U))) 2.0) in U
3.881 * [taylor]: Taking taylor expansion of (exp (* 2.0 (log (* 0.5 (/ J (* (cos (/ -0.5 K)) U)))))) in U
3.881 * [taylor]: Taking taylor expansion of (* 2.0 (log (* 0.5 (/ J (* (cos (/ -0.5 K)) U))))) in U
3.881 * [taylor]: Taking taylor expansion of 2.0 in U
3.881 * [backup-simplify]: Simplify 2.0 into 2.0
3.881 * [taylor]: Taking taylor expansion of (log (* 0.5 (/ J (* (cos (/ -0.5 K)) U)))) in U
3.881 * [taylor]: Taking taylor expansion of (* 0.5 (/ J (* (cos (/ -0.5 K)) U))) in U
3.881 * [taylor]: Taking taylor expansion of 0.5 in U
3.881 * [backup-simplify]: Simplify 0.5 into 0.5
3.881 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -0.5 K)) U)) in U
3.881 * [taylor]: Taking taylor expansion of J in U
3.881 * [backup-simplify]: Simplify J into J
3.881 * [taylor]: Taking taylor expansion of (* (cos (/ -0.5 K)) U) in U
3.881 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in U
3.881 * [taylor]: Taking taylor expansion of (/ -0.5 K) in U
3.881 * [taylor]: Taking taylor expansion of -0.5 in U
3.881 * [backup-simplify]: Simplify -0.5 into -0.5
3.881 * [taylor]: Taking taylor expansion of K in U
3.881 * [backup-simplify]: Simplify K into K
3.881 * [backup-simplify]: Simplify (/ -0.5 K) into (/ -0.5 K)
3.881 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
3.881 * [backup-simplify]: Simplify (sin (/ -0.5 K)) into (sin (/ -0.5 K))
3.882 * [taylor]: Taking taylor expansion of U in U
3.882 * [backup-simplify]: Simplify 0 into 0
3.882 * [backup-simplify]: Simplify 1 into 1
3.882 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
3.882 * [backup-simplify]: Simplify (* (sin (/ -0.5 K)) 0) into 0
3.882 * [backup-simplify]: Simplify (- 0) into 0
3.882 * [backup-simplify]: Simplify (+ (cos (/ -0.5 K)) 0) into (cos (/ -0.5 K))
3.882 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) 0) into 0
3.883 * [backup-simplify]: Simplify (+ 0) into 0
3.883 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 1)) into 0
3.884 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)))) into 0
3.884 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.885 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (* 0 0)) into 0
3.885 * [backup-simplify]: Simplify (- 0) into 0
3.886 * [backup-simplify]: Simplify (+ 0 0) into 0
3.886 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 1) (* 0 0)) into (cos (/ -0.5 K))
3.886 * [backup-simplify]: Simplify (/ J (cos (/ -0.5 K))) into (/ J (cos (/ -0.5 K)))
3.886 * [backup-simplify]: Simplify (* 0.5 (/ J (cos (/ -0.5 K)))) into (* 0.5 (/ J (cos (/ -0.5 K))))
3.886 * [backup-simplify]: Simplify (log (* 0.5 (/ J (cos (/ -0.5 K))))) into (log (* 0.5 (/ J (cos (/ -0.5 K)))))
3.887 * [backup-simplify]: Simplify (+ (* (- 1) (log U)) (log (* 0.5 (/ J (cos (/ -0.5 K)))))) into (- (log (* 0.5 (/ J (cos (/ -0.5 K))))) (log U))
3.887 * [backup-simplify]: Simplify (* 2.0 (- (log (* 0.5 (/ J (cos (/ -0.5 K))))) (log U))) into (* 2.0 (- (log (* 0.5 (/ J (cos (/ -0.5 K))))) (log U)))
3.888 * [backup-simplify]: Simplify (exp (* 2.0 (- (log (* 0.5 (/ J (cos (/ -0.5 K))))) (log U)))) into (exp (* 2.0 (- (log (* 0.5 (/ J (cos (/ -0.5 K))))) (log U))))
3.888 * [taylor]: Taking taylor expansion of (exp (* 2.0 (- (log (* 0.5 (/ J (cos (/ -0.5 K))))) (log U)))) in J
3.888 * [taylor]: Taking taylor expansion of (* 2.0 (- (log (* 0.5 (/ J (cos (/ -0.5 K))))) (log U))) in J
3.888 * [taylor]: Taking taylor expansion of 2.0 in J
3.888 * [backup-simplify]: Simplify 2.0 into 2.0
3.888 * [taylor]: Taking taylor expansion of (- (log (* 0.5 (/ J (cos (/ -0.5 K))))) (log U)) in J
3.888 * [taylor]: Taking taylor expansion of (log (* 0.5 (/ J (cos (/ -0.5 K))))) in J
3.888 * [taylor]: Taking taylor expansion of (* 0.5 (/ J (cos (/ -0.5 K)))) in J
3.888 * [taylor]: Taking taylor expansion of 0.5 in J
3.888 * [backup-simplify]: Simplify 0.5 into 0.5
3.888 * [taylor]: Taking taylor expansion of (/ J (cos (/ -0.5 K))) in J
3.888 * [taylor]: Taking taylor expansion of J in J
3.888 * [backup-simplify]: Simplify 0 into 0
3.888 * [backup-simplify]: Simplify 1 into 1
3.888 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in J
3.888 * [taylor]: Taking taylor expansion of (/ -0.5 K) in J
3.888 * [taylor]: Taking taylor expansion of -0.5 in J
3.888 * [backup-simplify]: Simplify -0.5 into -0.5
3.888 * [taylor]: Taking taylor expansion of K in J
3.888 * [backup-simplify]: Simplify K into K
3.888 * [backup-simplify]: Simplify (/ -0.5 K) into (/ -0.5 K)
3.889 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
3.889 * [backup-simplify]: Simplify (sin (/ -0.5 K)) into (sin (/ -0.5 K))
3.889 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
3.889 * [backup-simplify]: Simplify (* (sin (/ -0.5 K)) 0) into 0
3.890 * [backup-simplify]: Simplify (- 0) into 0
3.890 * [backup-simplify]: Simplify (+ (cos (/ -0.5 K)) 0) into (cos (/ -0.5 K))
3.890 * [backup-simplify]: Simplify (/ 1 (cos (/ -0.5 K))) into (/ 1 (cos (/ -0.5 K)))
3.890 * [backup-simplify]: Simplify (* 0.5 (/ 1 (cos (/ -0.5 K)))) into (/ 0.5 (cos (/ -0.5 K)))
3.890 * [backup-simplify]: Simplify (log (/ 0.5 (cos (/ -0.5 K)))) into (log (/ 0.5 (cos (/ -0.5 K))))
3.890 * [taylor]: Taking taylor expansion of (log U) in J
3.890 * [taylor]: Taking taylor expansion of U in J
3.890 * [backup-simplify]: Simplify U into U
3.890 * [backup-simplify]: Simplify (log U) into (log U)
3.891 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) (log (/ 0.5 (cos (/ -0.5 K))))) into (+ (log J) (log (/ 0.5 (cos (/ -0.5 K)))))
3.891 * [backup-simplify]: Simplify (- (log U)) into (- (log U))
3.891 * [backup-simplify]: Simplify (+ (+ (log J) (log (/ 0.5 (cos (/ -0.5 K))))) (- (log U))) into (- (+ (log J) (log (/ 0.5 (cos (/ -0.5 K))))) (log U))
3.892 * [backup-simplify]: Simplify (* 2.0 (- (+ (log J) (log (/ 0.5 (cos (/ -0.5 K))))) (log U))) into (* 2.0 (- (+ (log J) (log (/ 0.5 (cos (/ -0.5 K))))) (log U)))
3.892 * [backup-simplify]: Simplify (exp (* 2.0 (- (+ (log J) (log (/ 0.5 (cos (/ -0.5 K))))) (log U)))) into (exp (* 2.0 (- (+ (log J) (log (/ 0.5 (cos (/ -0.5 K))))) (log U))))
3.892 * [taylor]: Taking taylor expansion of (exp (* 2.0 (- (+ (log J) (log (/ 0.5 (cos (/ -0.5 K))))) (log U)))) in K
3.892 * [taylor]: Taking taylor expansion of (* 2.0 (- (+ (log J) (log (/ 0.5 (cos (/ -0.5 K))))) (log U))) in K
3.892 * [taylor]: Taking taylor expansion of 2.0 in K
3.892 * [backup-simplify]: Simplify 2.0 into 2.0
3.892 * [taylor]: Taking taylor expansion of (- (+ (log J) (log (/ 0.5 (cos (/ -0.5 K))))) (log U)) in K
3.892 * [taylor]: Taking taylor expansion of (+ (log J) (log (/ 0.5 (cos (/ -0.5 K))))) in K
3.892 * [taylor]: Taking taylor expansion of (log J) in K
3.892 * [taylor]: Taking taylor expansion of J in K
3.892 * [backup-simplify]: Simplify J into J
3.892 * [backup-simplify]: Simplify (log J) into (log J)
3.892 * [taylor]: Taking taylor expansion of (log (/ 0.5 (cos (/ -0.5 K)))) in K
3.892 * [taylor]: Taking taylor expansion of (/ 0.5 (cos (/ -0.5 K))) in K
3.892 * [taylor]: Taking taylor expansion of 0.5 in K
3.892 * [backup-simplify]: Simplify 0.5 into 0.5
3.892 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in K
3.893 * [taylor]: Taking taylor expansion of (/ -0.5 K) in K
3.893 * [taylor]: Taking taylor expansion of -0.5 in K
3.893 * [backup-simplify]: Simplify -0.5 into -0.5
3.893 * [taylor]: Taking taylor expansion of K in K
3.893 * [backup-simplify]: Simplify 0 into 0
3.893 * [backup-simplify]: Simplify 1 into 1
3.893 * [backup-simplify]: Simplify (/ -0.5 1) into -0.5
3.893 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
3.894 * [backup-simplify]: Simplify (/ 0.5 (cos (/ -0.5 K))) into (/ 0.5 (cos (/ -0.5 K)))
3.894 * [backup-simplify]: Simplify (log (/ 0.5 (cos (/ -0.5 K)))) into (log (/ 0.5 (cos (/ -0.5 K))))
3.894 * [taylor]: Taking taylor expansion of (log U) in K
3.894 * [taylor]: Taking taylor expansion of U in K
3.894 * [backup-simplify]: Simplify U into U
3.894 * [backup-simplify]: Simplify (log U) into (log U)
3.894 * [backup-simplify]: Simplify (+ (log J) (log (/ 0.5 (cos (/ -0.5 K))))) into (+ (log J) (log (/ 0.5 (cos (/ -0.5 K)))))
3.894 * [backup-simplify]: Simplify (- (log U)) into (- (log U))
3.894 * [backup-simplify]: Simplify (+ (+ (log J) (log (/ 0.5 (cos (/ -0.5 K))))) (- (log U))) into (- (+ (log J) (log (/ 0.5 (cos (/ -0.5 K))))) (log U))
3.895 * [backup-simplify]: Simplify (* 2.0 (- (+ (log J) (log (/ 0.5 (cos (/ -0.5 K))))) (log U))) into (* 2.0 (- (+ (log J) (log (/ 0.5 (cos (/ -0.5 K))))) (log U)))
3.895 * [backup-simplify]: Simplify (exp (* 2.0 (- (+ (log J) (log (/ 0.5 (cos (/ -0.5 K))))) (log U)))) into (exp (* 2.0 (- (+ (log J) (log (/ 0.5 (cos (/ -0.5 K))))) (log U))))
3.895 * [backup-simplify]: Simplify (exp (* 2.0 (- (+ (log J) (log (/ 0.5 (cos (/ -0.5 K))))) (log U)))) into (exp (* 2.0 (- (+ (log J) (log (/ 0.5 (cos (/ -0.5 K))))) (log U))))
3.897 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.897 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (+ (* 0 0) (* 0 1))) into 0
3.898 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
3.898 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.899 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (+ (* 0 0) (* 0 0))) into 0
3.899 * [backup-simplify]: Simplify (- 0) into 0
3.900 * [backup-simplify]: Simplify (+ 0 0) into 0
3.901 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (+ (* 0 1) (* 0 0))) into 0
3.901 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -0.5 K))) (+ (* (/ J (cos (/ -0.5 K))) (/ 0 (cos (/ -0.5 K)))))) into 0
3.901 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ J (cos (/ -0.5 K))))) into 0
3.902 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 0.5 (/ J (cos (/ -0.5 K)))) 1)))) 1) into 0
3.903 * [backup-simplify]: Simplify (+ (* (- 1) (log U)) (log (* 0.5 (/ J (cos (/ -0.5 K)))))) into (- (log (* 0.5 (/ J (cos (/ -0.5 K))))) (log U))
3.904 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (- (log (* 0.5 (/ J (cos (/ -0.5 K))))) (log U)))) into 0
3.905 * [backup-simplify]: Simplify (* (exp (* 2.0 (- (log (* 0.5 (/ J (cos (/ -0.5 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0
3.905 * [taylor]: Taking taylor expansion of 0 in J
3.905 * [backup-simplify]: Simplify 0 into 0
3.905 * [taylor]: Taking taylor expansion of 0 in K
3.905 * [backup-simplify]: Simplify 0 into 0
3.905 * [backup-simplify]: Simplify 0 into 0
3.906 * [backup-simplify]: Simplify (+ 0) into 0
3.906 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 1)) into 0
3.906 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)))) into 0
3.907 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.908 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (* 0 0)) into 0
3.908 * [backup-simplify]: Simplify (- 0) into 0
3.908 * [backup-simplify]: Simplify (+ 0 0) into 0
3.909 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -0.5 K))) (+ (* (/ 1 (cos (/ -0.5 K))) (/ 0 (cos (/ -0.5 K)))))) into 0
3.909 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 (cos (/ -0.5 K))))) into 0
3.910 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 0.5 (cos (/ -0.5 K))) 1)))) 1) into 0
3.911 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0
3.912 * [backup-simplify]: Simplify (- 0) into 0
3.912 * [backup-simplify]: Simplify (+ 0 0) into 0
3.913 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (- (+ (log J) (log (/ 0.5 (cos (/ -0.5 K))))) (log U)))) into 0
3.914 * [backup-simplify]: Simplify (* (exp (* 2.0 (- (+ (log J) (log (/ 0.5 (cos (/ -0.5 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0
3.914 * [taylor]: Taking taylor expansion of 0 in K
3.914 * [backup-simplify]: Simplify 0 into 0
3.914 * [backup-simplify]: Simplify 0 into 0
3.915 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0
3.915 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -0.5 K))) (+ (* (/ 0.5 (cos (/ -0.5 K))) (/ 0 (cos (/ -0.5 K)))))) into 0
3.916 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 0.5 (cos (/ -0.5 K))) 1)))) 1) into 0
3.916 * [backup-simplify]: Simplify (+ 0 0) into 0
3.917 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0
3.918 * [backup-simplify]: Simplify (- 0) into 0
3.918 * [backup-simplify]: Simplify (+ 0 0) into 0
3.919 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (- (+ (log J) (log (/ 0.5 (cos (/ -0.5 K))))) (log U)))) into 0
3.920 * [backup-simplify]: Simplify (* (exp (* 2.0 (- (+ (log J) (log (/ 0.5 (cos (/ -0.5 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0
3.920 * [backup-simplify]: Simplify 0 into 0
3.921 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.922 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.922 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
3.923 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
3.924 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
3.925 * [backup-simplify]: Simplify (- 0) into 0
3.925 * [backup-simplify]: Simplify (+ 0 0) into 0
3.926 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
3.926 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -0.5 K))) (+ (* (/ J (cos (/ -0.5 K))) (/ 0 (cos (/ -0.5 K)))) (* 0 (/ 0 (cos (/ -0.5 K)))))) into 0
3.927 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ J (cos (/ -0.5 K)))))) into 0
3.932 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 0.5 (/ J (cos (/ -0.5 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 0.5 (/ J (cos (/ -0.5 K)))) 1)))) 2) into 0
3.932 * [backup-simplify]: Simplify (+ (* (- 1) (log U)) (log (* 0.5 (/ J (cos (/ -0.5 K)))))) into (- (log (* 0.5 (/ J (cos (/ -0.5 K))))) (log U))
3.933 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (- (log (* 0.5 (/ J (cos (/ -0.5 K))))) (log U))))) into 0
3.935 * [backup-simplify]: Simplify (* (exp (* 2.0 (- (log (* 0.5 (/ J (cos (/ -0.5 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.935 * [taylor]: Taking taylor expansion of 0 in J
3.935 * [backup-simplify]: Simplify 0 into 0
3.935 * [taylor]: Taking taylor expansion of 0 in K
3.935 * [backup-simplify]: Simplify 0 into 0
3.935 * [backup-simplify]: Simplify 0 into 0
3.935 * [taylor]: Taking taylor expansion of 0 in K
3.935 * [backup-simplify]: Simplify 0 into 0
3.935 * [backup-simplify]: Simplify 0 into 0
3.936 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.937 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (+ (* 0 0) (* 0 1))) into 0
3.937 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
3.937 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.938 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (+ (* 0 0) (* 0 0))) into 0
3.938 * [backup-simplify]: Simplify (- 0) into 0
3.938 * [backup-simplify]: Simplify (+ 0 0) into 0
3.938 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -0.5 K))) (+ (* (/ 1 (cos (/ -0.5 K))) (/ 0 (cos (/ -0.5 K)))) (* 0 (/ 0 (cos (/ -0.5 K)))))) into 0
3.939 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -0.5 K)))))) into 0
3.940 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 0.5 (cos (/ -0.5 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 0.5 (cos (/ -0.5 K))) 1)))) 2) into 0
3.941 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0
3.941 * [backup-simplify]: Simplify (- 0) into 0
3.942 * [backup-simplify]: Simplify (+ 0 0) into 0
3.942 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (- (+ (log J) (log (/ 0.5 (cos (/ -0.5 K))))) (log U))))) into 0
3.943 * [backup-simplify]: Simplify (* (exp (* 2.0 (- (+ (log J) (log (/ 0.5 (cos (/ -0.5 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.943 * [taylor]: Taking taylor expansion of 0 in K
3.943 * [backup-simplify]: Simplify 0 into 0
3.943 * [backup-simplify]: Simplify 0 into 0
3.943 * [backup-simplify]: Simplify (exp (* 2.0 (- (+ (log (/ 1 (- J))) (log (/ 0.5 (cos (/ -0.5 (/ 1 (- K))))))) (log (/ 1 (- U)))))) into (exp (* 2.0 (- (+ (log (/ 0.5 (cos (* 0.5 K)))) (log (/ -1 J))) (log (/ -1 U)))))
3.943 * * * * [progress]: [ 4 / 4 ] generating series at (2 1)
3.944 * [backup-simplify]: Simplify (* (* -2.0 J) (cos (/ K 2.0))) into (* -2.0 (* J (cos (* 0.5 K))))
3.944 * [approximate]: Taking taylor expansion of (* -2.0 (* J (cos (* 0.5 K)))) in (J K) around 0
3.944 * [taylor]: Taking taylor expansion of (* -2.0 (* J (cos (* 0.5 K)))) in K
3.944 * [taylor]: Taking taylor expansion of -2.0 in K
3.944 * [backup-simplify]: Simplify -2.0 into -2.0
3.944 * [taylor]: Taking taylor expansion of (* J (cos (* 0.5 K))) in K
3.944 * [taylor]: Taking taylor expansion of J in K
3.944 * [backup-simplify]: Simplify J into J
3.944 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in K
3.944 * [taylor]: Taking taylor expansion of (* 0.5 K) in K
3.944 * [taylor]: Taking taylor expansion of 0.5 in K
3.944 * [backup-simplify]: Simplify 0.5 into 0.5
3.944 * [taylor]: Taking taylor expansion of K in K
3.944 * [backup-simplify]: Simplify 0 into 0
3.944 * [backup-simplify]: Simplify 1 into 1
3.944 * [backup-simplify]: Simplify (* 0.5 0) into 0
3.945 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5
3.945 * [taylor]: Taking taylor expansion of (* -2.0 (* J (cos (* 0.5 K)))) in J
3.945 * [taylor]: Taking taylor expansion of -2.0 in J
3.945 * [backup-simplify]: Simplify -2.0 into -2.0
3.945 * [taylor]: Taking taylor expansion of (* J (cos (* 0.5 K))) in J
3.945 * [taylor]: Taking taylor expansion of J in J
3.945 * [backup-simplify]: Simplify 0 into 0
3.945 * [backup-simplify]: Simplify 1 into 1
3.945 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in J
3.945 * [taylor]: Taking taylor expansion of (* 0.5 K) in J
3.945 * [taylor]: Taking taylor expansion of 0.5 in J
3.945 * [backup-simplify]: Simplify 0.5 into 0.5
3.945 * [taylor]: Taking taylor expansion of K in J
3.945 * [backup-simplify]: Simplify K into K
3.945 * [backup-simplify]: Simplify (* 0.5 K) into (* 0.5 K)
3.945 * [backup-simplify]: Simplify (cos (* 0.5 K)) into (cos (* 0.5 K))
3.945 * [backup-simplify]: Simplify (sin (* 0.5 K)) into (sin (* 0.5 K))
3.945 * [taylor]: Taking taylor expansion of (* -2.0 (* J (cos (* 0.5 K)))) in J
3.945 * [taylor]: Taking taylor expansion of -2.0 in J
3.945 * [backup-simplify]: Simplify -2.0 into -2.0
3.945 * [taylor]: Taking taylor expansion of (* J (cos (* 0.5 K))) in J
3.945 * [taylor]: Taking taylor expansion of J in J
3.945 * [backup-simplify]: Simplify 0 into 0
3.945 * [backup-simplify]: Simplify 1 into 1
3.945 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in J
3.945 * [taylor]: Taking taylor expansion of (* 0.5 K) in J
3.946 * [taylor]: Taking taylor expansion of 0.5 in J
3.946 * [backup-simplify]: Simplify 0.5 into 0.5
3.946 * [taylor]: Taking taylor expansion of K in J
3.946 * [backup-simplify]: Simplify K into K
3.946 * [backup-simplify]: Simplify (* 0.5 K) into (* 0.5 K)
3.946 * [backup-simplify]: Simplify (cos (* 0.5 K)) into (cos (* 0.5 K))
3.946 * [backup-simplify]: Simplify (sin (* 0.5 K)) into (sin (* 0.5 K))
3.946 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) 1) into (cos (* 0.5 K))
3.946 * [backup-simplify]: Simplify (* (sin (* 0.5 K)) 0) into 0
3.946 * [backup-simplify]: Simplify (- 0) into 0
3.946 * [backup-simplify]: Simplify (+ (cos (* 0.5 K)) 0) into (cos (* 0.5 K))
3.946 * [backup-simplify]: Simplify (* 0 (cos (* 0.5 K))) into 0
3.946 * [backup-simplify]: Simplify (* -2.0 0) into 0
3.947 * [taylor]: Taking taylor expansion of 0 in K
3.947 * [backup-simplify]: Simplify 0 into 0
3.947 * [backup-simplify]: Simplify 0 into 0
3.947 * [backup-simplify]: Simplify (+ 0) into 0
3.947 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (* 0 1)) into 0
3.947 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 K)) into 0
3.948 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.948 * [backup-simplify]: Simplify (+ (* (sin (* 0.5 K)) 0) (* 0 0)) into 0
3.948 * [backup-simplify]: Simplify (- 0) into 0
3.949 * [backup-simplify]: Simplify (+ 0 0) into 0
3.949 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (* 0.5 K)))) into (cos (* 0.5 K))
3.949 * [backup-simplify]: Simplify (+ (* -2.0 (cos (* 0.5 K))) (* 0 0)) into (- (* 2.0 (cos (* 0.5 K))))
3.949 * [taylor]: Taking taylor expansion of (- (* 2.0 (cos (* 0.5 K)))) in K
3.949 * [taylor]: Taking taylor expansion of (* 2.0 (cos (* 0.5 K))) in K
3.949 * [taylor]: Taking taylor expansion of 2.0 in K
3.949 * [backup-simplify]: Simplify 2.0 into 2.0
3.949 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in K
3.949 * [taylor]: Taking taylor expansion of (* 0.5 K) in K
3.949 * [taylor]: Taking taylor expansion of 0.5 in K
3.949 * [backup-simplify]: Simplify 0.5 into 0.5
3.949 * [taylor]: Taking taylor expansion of K in K
3.949 * [backup-simplify]: Simplify 0 into 0
3.949 * [backup-simplify]: Simplify 1 into 1
3.950 * [backup-simplify]: Simplify (* 0.5 0) into 0
3.951 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5
3.951 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
3.951 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
3.951 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
3.951 * [backup-simplify]: Simplify 0 into 0
3.952 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.952 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (+ (* 0 0) (* 0 1))) into 0
3.953 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 K))) into 0
3.953 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.954 * [backup-simplify]: Simplify (+ (* (sin (* 0.5 K)) 0) (+ (* 0 0) (* 0 0))) into 0
3.954 * [backup-simplify]: Simplify (- 0) into 0
3.954 * [backup-simplify]: Simplify (+ 0 0) into 0
3.955 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (* 0.5 K))))) into 0
3.955 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 (cos (* 0.5 K))) (* 0 0))) into 0
3.955 * [taylor]: Taking taylor expansion of 0 in K
3.955 * [backup-simplify]: Simplify 0 into 0
3.955 * [backup-simplify]: Simplify 0 into 0
3.956 * [backup-simplify]: Simplify (+ 0) into 0
3.956 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0
3.956 * [backup-simplify]: Simplify (- 0) into 0
3.956 * [backup-simplify]: Simplify 0 into 0
3.956 * [backup-simplify]: Simplify 0 into 0
3.957 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.957 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.958 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0
3.959 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
3.960 * [backup-simplify]: Simplify (+ (* (sin (* 0.5 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
3.960 * [backup-simplify]: Simplify (- 0) into 0
3.961 * [backup-simplify]: Simplify (+ 0 0) into 0
3.962 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (* 0.5 K)))))) into 0
3.963 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 (cos (* 0.5 K))) (* 0 0)))) into 0
3.963 * [taylor]: Taking taylor expansion of 0 in K
3.963 * [backup-simplify]: Simplify 0 into 0
3.963 * [backup-simplify]: Simplify 0 into 0
3.963 * [backup-simplify]: Simplify 0 into 0
3.964 * [backup-simplify]: Simplify (* (- 2.0) (* 1 J)) into (* -2.0 J)
3.964 * [backup-simplify]: Simplify (* (* -2.0 (/ 1 J)) (cos (/ (/ 1 K) 2.0))) into (* -2.0 (/ (cos (/ 0.5 K)) J))
3.964 * [approximate]: Taking taylor expansion of (* -2.0 (/ (cos (/ 0.5 K)) J)) in (J K) around 0
3.964 * [taylor]: Taking taylor expansion of (* -2.0 (/ (cos (/ 0.5 K)) J)) in K
3.964 * [taylor]: Taking taylor expansion of -2.0 in K
3.964 * [backup-simplify]: Simplify -2.0 into -2.0
3.964 * [taylor]: Taking taylor expansion of (/ (cos (/ 0.5 K)) J) in K
3.964 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in K
3.964 * [taylor]: Taking taylor expansion of (/ 0.5 K) in K
3.964 * [taylor]: Taking taylor expansion of 0.5 in K
3.964 * [backup-simplify]: Simplify 0.5 into 0.5
3.964 * [taylor]: Taking taylor expansion of K in K
3.964 * [backup-simplify]: Simplify 0 into 0
3.964 * [backup-simplify]: Simplify 1 into 1
3.965 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5
3.965 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
3.965 * [taylor]: Taking taylor expansion of J in K
3.965 * [backup-simplify]: Simplify J into J
3.965 * [backup-simplify]: Simplify (/ (cos (/ 0.5 K)) J) into (/ (cos (/ 0.5 K)) J)
3.965 * [taylor]: Taking taylor expansion of (* -2.0 (/ (cos (/ 0.5 K)) J)) in J
3.965 * [taylor]: Taking taylor expansion of -2.0 in J
3.965 * [backup-simplify]: Simplify -2.0 into -2.0
3.965 * [taylor]: Taking taylor expansion of (/ (cos (/ 0.5 K)) J) in J
3.965 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in J
3.965 * [taylor]: Taking taylor expansion of (/ 0.5 K) in J
3.965 * [taylor]: Taking taylor expansion of 0.5 in J
3.965 * [backup-simplify]: Simplify 0.5 into 0.5
3.965 * [taylor]: Taking taylor expansion of K in J
3.965 * [backup-simplify]: Simplify K into K
3.965 * [backup-simplify]: Simplify (/ 0.5 K) into (/ 0.5 K)
3.965 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
3.966 * [backup-simplify]: Simplify (sin (/ 0.5 K)) into (sin (/ 0.5 K))
3.966 * [taylor]: Taking taylor expansion of J in J
3.966 * [backup-simplify]: Simplify 0 into 0
3.966 * [backup-simplify]: Simplify 1 into 1
3.966 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
3.966 * [backup-simplify]: Simplify (* (sin (/ 0.5 K)) 0) into 0
3.966 * [backup-simplify]: Simplify (- 0) into 0
3.966 * [backup-simplify]: Simplify (+ (cos (/ 0.5 K)) 0) into (cos (/ 0.5 K))
3.967 * [backup-simplify]: Simplify (/ (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
3.967 * [taylor]: Taking taylor expansion of (* -2.0 (/ (cos (/ 0.5 K)) J)) in J
3.967 * [taylor]: Taking taylor expansion of -2.0 in J
3.967 * [backup-simplify]: Simplify -2.0 into -2.0
3.967 * [taylor]: Taking taylor expansion of (/ (cos (/ 0.5 K)) J) in J
3.967 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in J
3.967 * [taylor]: Taking taylor expansion of (/ 0.5 K) in J
3.967 * [taylor]: Taking taylor expansion of 0.5 in J
3.967 * [backup-simplify]: Simplify 0.5 into 0.5
3.967 * [taylor]: Taking taylor expansion of K in J
3.967 * [backup-simplify]: Simplify K into K
3.967 * [backup-simplify]: Simplify (/ 0.5 K) into (/ 0.5 K)
3.967 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
3.967 * [backup-simplify]: Simplify (sin (/ 0.5 K)) into (sin (/ 0.5 K))
3.967 * [taylor]: Taking taylor expansion of J in J
3.967 * [backup-simplify]: Simplify 0 into 0
3.967 * [backup-simplify]: Simplify 1 into 1
3.967 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
3.967 * [backup-simplify]: Simplify (* (sin (/ 0.5 K)) 0) into 0
3.968 * [backup-simplify]: Simplify (- 0) into 0
3.968 * [backup-simplify]: Simplify (+ (cos (/ 0.5 K)) 0) into (cos (/ 0.5 K))
3.968 * [backup-simplify]: Simplify (/ (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
3.968 * [backup-simplify]: Simplify (* -2.0 (cos (/ 0.5 K))) into (* -2.0 (cos (/ 0.5 K)))
3.968 * [taylor]: Taking taylor expansion of (* -2.0 (cos (/ 0.5 K))) in K
3.968 * [taylor]: Taking taylor expansion of -2.0 in K
3.968 * [backup-simplify]: Simplify -2.0 into -2.0
3.968 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in K
3.968 * [taylor]: Taking taylor expansion of (/ 0.5 K) in K
3.968 * [taylor]: Taking taylor expansion of 0.5 in K
3.968 * [backup-simplify]: Simplify 0.5 into 0.5
3.969 * [taylor]: Taking taylor expansion of K in K
3.969 * [backup-simplify]: Simplify 0 into 0
3.969 * [backup-simplify]: Simplify 1 into 1
3.969 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5
3.969 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
3.969 * [backup-simplify]: Simplify (* -2.0 (cos (/ 0.5 K))) into (* -2.0 (cos (/ 0.5 K)))
3.969 * [backup-simplify]: Simplify (* -2.0 (cos (/ 0.5 K))) into (* -2.0 (cos (/ 0.5 K)))
3.970 * [backup-simplify]: Simplify (+ 0) into 0
3.970 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 1)) into 0
3.971 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)))) into 0
3.971 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.972 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (* 0 0)) into 0
3.972 * [backup-simplify]: Simplify (- 0) into 0
3.973 * [backup-simplify]: Simplify (+ 0 0) into 0
3.974 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 0.5 K)) (/ 0 1)))) into 0
3.974 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 (cos (/ 0.5 K)))) into 0
3.974 * [taylor]: Taking taylor expansion of 0 in K
3.974 * [backup-simplify]: Simplify 0 into 0
3.974 * [backup-simplify]: Simplify 0 into 0
3.975 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 (cos (/ 0.5 K)))) into 0
3.975 * [backup-simplify]: Simplify 0 into 0
3.976 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.977 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (+ (* 0 0) (* 0 1))) into 0
3.977 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
3.978 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.978 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (+ (* 0 0) (* 0 0))) into 0
3.979 * [backup-simplify]: Simplify (- 0) into 0
3.979 * [backup-simplify]: Simplify (+ 0 0) into 0
3.981 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 0.5 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.982 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 (cos (/ 0.5 K))))) into 0
3.982 * [taylor]: Taking taylor expansion of 0 in K
3.982 * [backup-simplify]: Simplify 0 into 0
3.982 * [backup-simplify]: Simplify 0 into 0
3.982 * [backup-simplify]: Simplify 0 into 0
3.983 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 (cos (/ 0.5 K))))) into 0
3.983 * [backup-simplify]: Simplify 0 into 0
3.984 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.984 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.984 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
3.985 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
3.986 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
3.986 * [backup-simplify]: Simplify (- 0) into 0
3.986 * [backup-simplify]: Simplify (+ 0 0) into 0
3.987 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 0.5 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.988 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 0.5 K)))))) into 0
3.988 * [taylor]: Taking taylor expansion of 0 in K
3.988 * [backup-simplify]: Simplify 0 into 0
3.988 * [backup-simplify]: Simplify 0 into 0
3.988 * [backup-simplify]: Simplify (* (* -2.0 (cos (/ 0.5 (/ 1 K)))) (* 1 (/ 1 (/ 1 J)))) into (* -2.0 (* (cos (* 0.5 K)) J))
3.989 * [backup-simplify]: Simplify (* (* -2.0 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2.0))) into (* 2.0 (/ (cos (/ -0.5 K)) J))
3.989 * [approximate]: Taking taylor expansion of (* 2.0 (/ (cos (/ -0.5 K)) J)) in (J K) around 0
3.989 * [taylor]: Taking taylor expansion of (* 2.0 (/ (cos (/ -0.5 K)) J)) in K
3.989 * [taylor]: Taking taylor expansion of 2.0 in K
3.989 * [backup-simplify]: Simplify 2.0 into 2.0
3.989 * [taylor]: Taking taylor expansion of (/ (cos (/ -0.5 K)) J) in K
3.989 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in K
3.989 * [taylor]: Taking taylor expansion of (/ -0.5 K) in K
3.989 * [taylor]: Taking taylor expansion of -0.5 in K
3.989 * [backup-simplify]: Simplify -0.5 into -0.5
3.989 * [taylor]: Taking taylor expansion of K in K
3.989 * [backup-simplify]: Simplify 0 into 0
3.989 * [backup-simplify]: Simplify 1 into 1
3.989 * [backup-simplify]: Simplify (/ -0.5 1) into -0.5
3.989 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
3.989 * [taylor]: Taking taylor expansion of J in K
3.989 * [backup-simplify]: Simplify J into J
3.989 * [backup-simplify]: Simplify (/ (cos (/ -0.5 K)) J) into (/ (cos (/ -0.5 K)) J)
3.989 * [taylor]: Taking taylor expansion of (* 2.0 (/ (cos (/ -0.5 K)) J)) in J
3.989 * [taylor]: Taking taylor expansion of 2.0 in J
3.989 * [backup-simplify]: Simplify 2.0 into 2.0
3.989 * [taylor]: Taking taylor expansion of (/ (cos (/ -0.5 K)) J) in J
3.989 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in J
3.989 * [taylor]: Taking taylor expansion of (/ -0.5 K) in J
3.989 * [taylor]: Taking taylor expansion of -0.5 in J
3.989 * [backup-simplify]: Simplify -0.5 into -0.5
3.989 * [taylor]: Taking taylor expansion of K in J
3.989 * [backup-simplify]: Simplify K into K
3.989 * [backup-simplify]: Simplify (/ -0.5 K) into (/ -0.5 K)
3.989 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
3.990 * [backup-simplify]: Simplify (sin (/ -0.5 K)) into (sin (/ -0.5 K))
3.990 * [taylor]: Taking taylor expansion of J in J
3.990 * [backup-simplify]: Simplify 0 into 0
3.990 * [backup-simplify]: Simplify 1 into 1
3.990 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
3.990 * [backup-simplify]: Simplify (* (sin (/ -0.5 K)) 0) into 0
3.990 * [backup-simplify]: Simplify (- 0) into 0
3.990 * [backup-simplify]: Simplify (+ (cos (/ -0.5 K)) 0) into (cos (/ -0.5 K))
3.990 * [backup-simplify]: Simplify (/ (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
3.990 * [taylor]: Taking taylor expansion of (* 2.0 (/ (cos (/ -0.5 K)) J)) in J
3.990 * [taylor]: Taking taylor expansion of 2.0 in J
3.990 * [backup-simplify]: Simplify 2.0 into 2.0
3.990 * [taylor]: Taking taylor expansion of (/ (cos (/ -0.5 K)) J) in J
3.990 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in J
3.990 * [taylor]: Taking taylor expansion of (/ -0.5 K) in J
3.990 * [taylor]: Taking taylor expansion of -0.5 in J
3.990 * [backup-simplify]: Simplify -0.5 into -0.5
3.990 * [taylor]: Taking taylor expansion of K in J
3.990 * [backup-simplify]: Simplify K into K
3.990 * [backup-simplify]: Simplify (/ -0.5 K) into (/ -0.5 K)
3.990 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
3.990 * [backup-simplify]: Simplify (sin (/ -0.5 K)) into (sin (/ -0.5 K))
3.990 * [taylor]: Taking taylor expansion of J in J
3.990 * [backup-simplify]: Simplify 0 into 0
3.990 * [backup-simplify]: Simplify 1 into 1
3.990 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
3.991 * [backup-simplify]: Simplify (* (sin (/ -0.5 K)) 0) into 0
3.991 * [backup-simplify]: Simplify (- 0) into 0
3.991 * [backup-simplify]: Simplify (+ (cos (/ -0.5 K)) 0) into (cos (/ -0.5 K))
3.991 * [backup-simplify]: Simplify (/ (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
3.991 * [backup-simplify]: Simplify (* 2.0 (cos (/ -0.5 K))) into (* 2.0 (cos (/ -0.5 K)))
3.991 * [taylor]: Taking taylor expansion of (* 2.0 (cos (/ -0.5 K))) in K
3.991 * [taylor]: Taking taylor expansion of 2.0 in K
3.991 * [backup-simplify]: Simplify 2.0 into 2.0
3.991 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in K
3.991 * [taylor]: Taking taylor expansion of (/ -0.5 K) in K
3.991 * [taylor]: Taking taylor expansion of -0.5 in K
3.991 * [backup-simplify]: Simplify -0.5 into -0.5
3.991 * [taylor]: Taking taylor expansion of K in K
3.991 * [backup-simplify]: Simplify 0 into 0
3.991 * [backup-simplify]: Simplify 1 into 1
3.992 * [backup-simplify]: Simplify (/ -0.5 1) into -0.5
3.992 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
3.992 * [backup-simplify]: Simplify (* 2.0 (cos (/ -0.5 K))) into (* 2.0 (cos (/ -0.5 K)))
3.992 * [backup-simplify]: Simplify (* 2.0 (cos (/ -0.5 K))) into (* 2.0 (cos (/ -0.5 K)))
3.992 * [backup-simplify]: Simplify (+ 0) into 0
3.992 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 1)) into 0
3.992 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)))) into 0
3.993 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.993 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (* 0 0)) into 0
3.993 * [backup-simplify]: Simplify (- 0) into 0
3.994 * [backup-simplify]: Simplify (+ 0 0) into 0
3.994 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -0.5 K)) (/ 0 1)))) into 0
3.995 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (cos (/ -0.5 K)))) into 0
3.995 * [taylor]: Taking taylor expansion of 0 in K
3.995 * [backup-simplify]: Simplify 0 into 0
3.995 * [backup-simplify]: Simplify 0 into 0
3.995 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (cos (/ -0.5 K)))) into 0
3.995 * [backup-simplify]: Simplify 0 into 0
3.996 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.996 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (+ (* 0 0) (* 0 1))) into 0
3.996 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
3.997 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.997 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (+ (* 0 0) (* 0 0))) into 0
3.997 * [backup-simplify]: Simplify (- 0) into 0
3.997 * [backup-simplify]: Simplify (+ 0 0) into 0
3.998 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -0.5 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.999 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (cos (/ -0.5 K))))) into 0
3.999 * [taylor]: Taking taylor expansion of 0 in K
3.999 * [backup-simplify]: Simplify 0 into 0
3.999 * [backup-simplify]: Simplify 0 into 0
3.999 * [backup-simplify]: Simplify 0 into 0
3.999 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (cos (/ -0.5 K))))) into 0
3.999 * [backup-simplify]: Simplify 0 into 0
4.000 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
4.001 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.001 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
4.002 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
4.002 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
4.002 * [backup-simplify]: Simplify (- 0) into 0
4.002 * [backup-simplify]: Simplify (+ 0 0) into 0
4.004 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -0.5 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.004 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -0.5 K)))))) into 0
4.004 * [taylor]: Taking taylor expansion of 0 in K
4.004 * [backup-simplify]: Simplify 0 into 0
4.005 * [backup-simplify]: Simplify 0 into 0
4.005 * [backup-simplify]: Simplify (* (* 2.0 (cos (/ -0.5 (/ 1 (- K))))) (* 1 (/ 1 (/ 1 (- J))))) into (* -2.0 (* (cos (* 0.5 K)) J))
4.005 * * * [progress]: simplifying candidates
4.006 * [simplify]: Simplifying:
  (log (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0))))
  (exp (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0))))
  (* (cbrt (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))) (cbrt (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))))
  (cbrt (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0))))
  (* (* (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0))))
  (sqrt (* (cbrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0))) (cbrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))))
  (sqrt (cbrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0))))
  (sqrt (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0))))
  (sqrt (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0))))
  (sqrt 1)
  (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))
  (sqrt 1)
  (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))
  (sqrt (+ (pow 1.0 3) (pow (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0) 3)))
  (sqrt (+ (* 1.0 1.0) (- (* (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0) (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)) (* 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))))
  (sqrt (- (* 1.0 1.0) (* (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0) (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0))))
  (sqrt (- 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))
  (/ 1 2)
  (sqrt (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0))))
  (sqrt (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0))))
  (* (* (* -2.0 J) (cos (/ K 2.0))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0))))
  (* (* (* -2.0 J) (cos (/ K 2.0))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0))))
  (* (* (* -2.0 J) (cos (/ K 2.0))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0))))
  (+ (+ (+ (log -2.0) (log J)) (log (cos (/ K 2.0)))) (log (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))))
  (+ (+ (log (* -2.0 J)) (log (cos (/ K 2.0)))) (log (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))))
  (+ (log (* (* -2.0 J) (cos (/ K 2.0)))) (log (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))))
  (log (* (* (* -2.0 J) (cos (/ K 2.0))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))))
  (exp (* (* (* -2.0 J) (cos (/ K 2.0))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))))
  (* (* (* (* (* -2.0 -2.0) -2.0) (* (* J J) J)) (* (* (cos (/ K 2.0)) (cos (/ K 2.0))) (cos (/ K 2.0)))) (* (* (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))))
  (* (* (* (* (* -2.0 J) (* -2.0 J)) (* -2.0 J)) (* (* (cos (/ K 2.0)) (cos (/ K 2.0))) (cos (/ K 2.0)))) (* (* (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))))
  (* (* (* (* (* -2.0 J) (cos (/ K 2.0))) (* (* -2.0 J) (cos (/ K 2.0)))) (* (* -2.0 J) (cos (/ K 2.0)))) (* (* (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))))
  (* (cbrt (* (* (* -2.0 J) (cos (/ K 2.0))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0))))) (cbrt (* (* (* -2.0 J) (cos (/ K 2.0))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0))))))
  (cbrt (* (* (* -2.0 J) (cos (/ K 2.0))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))))
  (* (* (* (* (* -2.0 J) (cos (/ K 2.0))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))) (* (* (* -2.0 J) (cos (/ K 2.0))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0))))) (* (* (* -2.0 J) (cos (/ K 2.0))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))))
  (sqrt (* (* (* -2.0 J) (cos (/ K 2.0))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))))
  (sqrt (* (* (* -2.0 J) (cos (/ K 2.0))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))))
  (* (* (* -2.0 J) (cos (/ K 2.0))) (* (cbrt (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))) (cbrt (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0))))))
  (* (* (* -2.0 J) (cos (/ K 2.0))) (sqrt (* (cbrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0))) (cbrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0))))))
  (* (* (* -2.0 J) (cos (/ K 2.0))) (sqrt (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))))
  (* (* (* -2.0 J) (cos (/ K 2.0))) (sqrt 1))
  (* (* (* -2.0 J) (cos (/ K 2.0))) (sqrt 1))
  (* (* (* -2.0 J) (cos (/ K 2.0))) (sqrt (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))))
  (* (* (* -2.0 J) (cos (/ K 2.0))) 1)
  (* (cos (/ K 2.0)) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0))))
  (* (* (* -2.0 J) (cos (/ K 2.0))) (sqrt (+ (pow 1.0 3) (pow (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0) 3))))
  (* (* (* -2.0 J) (cos (/ K 2.0))) (sqrt (- (* 1.0 1.0) (* (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0) (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))))
  (* (- (log U) (+ (+ (log 2.0) (log J)) (log (cos (/ K 2.0))))) 2.0)
  (* (- (log U) (+ (log (* 2.0 J)) (log (cos (/ K 2.0))))) 2.0)
  (* (- (log U) (log (* (* 2.0 J) (cos (/ K 2.0))))) 2.0)
  (* (log (/ U (* (* 2.0 J) (cos (/ K 2.0))))) 2.0)
  (* (log (/ U (* (* 2.0 J) (cos (/ K 2.0))))) 2.0)
  (* 1 2.0)
  (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) (* (cbrt 2.0) (cbrt 2.0)))
  (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) (sqrt 2.0))
  (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 1)
  (pow (* (cbrt (/ U (* (* 2.0 J) (cos (/ K 2.0))))) (cbrt (/ U (* (* 2.0 J) (cos (/ K 2.0)))))) 2.0)
  (pow (cbrt (/ U (* (* 2.0 J) (cos (/ K 2.0))))) 2.0)
  (pow (sqrt (/ U (* (* 2.0 J) (cos (/ K 2.0))))) 2.0)
  (pow (sqrt (/ U (* (* 2.0 J) (cos (/ K 2.0))))) 2.0)
  (pow (/ (* (cbrt U) (cbrt U)) (* 2.0 J)) 2.0)
  (pow (/ (cbrt U) (cos (/ K 2.0))) 2.0)
  (pow (/ (sqrt U) (* 2.0 J)) 2.0)
  (pow (/ (sqrt U) (cos (/ K 2.0))) 2.0)
  (pow (/ 1 (* 2.0 J)) 2.0)
  (pow (/ U (cos (/ K 2.0))) 2.0)
  (pow 1 2.0)
  (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)
  (pow U 2.0)
  (pow (/ 1 (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)
  (log (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0))
  (exp (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0))
  (* (cbrt (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)) (cbrt (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))
  (cbrt (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0))
  (* (* (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0) (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)) (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0))
  (sqrt (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0))
  (sqrt (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0))
  (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) (/ 2.0 2))
  (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) (/ 2.0 2))
  (* (* -2.0 J) (cos (/ K 2.0)))
  (* (* -2.0 J) (cos (/ K 2.0)))
  (+ (+ (log -2.0) (log J)) (log (cos (/ K 2.0))))
  (+ (log (* -2.0 J)) (log (cos (/ K 2.0))))
  (log (* (* -2.0 J) (cos (/ K 2.0))))
  (exp (* (* -2.0 J) (cos (/ K 2.0))))
  (* (* (* (* -2.0 -2.0) -2.0) (* (* J J) J)) (* (* (cos (/ K 2.0)) (cos (/ K 2.0))) (cos (/ K 2.0))))
  (* (* (* (* -2.0 J) (* -2.0 J)) (* -2.0 J)) (* (* (cos (/ K 2.0)) (cos (/ K 2.0))) (cos (/ K 2.0))))
  (* (cbrt (* (* -2.0 J) (cos (/ K 2.0)))) (cbrt (* (* -2.0 J) (cos (/ K 2.0)))))
  (cbrt (* (* -2.0 J) (cos (/ K 2.0))))
  (* (* (* (* -2.0 J) (cos (/ K 2.0))) (* (* -2.0 J) (cos (/ K 2.0)))) (* (* -2.0 J) (cos (/ K 2.0))))
  (sqrt (* (* -2.0 J) (cos (/ K 2.0))))
  (sqrt (* (* -2.0 J) (cos (/ K 2.0))))
  (* (* -2.0 J) (* (cbrt (cos (/ K 2.0))) (cbrt (cos (/ K 2.0)))))
  (* (* -2.0 J) (sqrt (cos (/ K 2.0))))
  (* (* -2.0 J) 1)
  (* J (cos (/ K 2.0)))
  (sqrt 1.0)
  (/ (* (sqrt 0.25) U) (* (cos (* 0.5 K)) J))
  (/ (* (sqrt 0.25) U) (* (cos (* 0.5 K)) J))
  0
  (* -2.0 (* (sqrt 1.0) (* (cos (* 0.5 K)) J)))
  (* -2.0 (* (sqrt 1.0) (* (cos (* 0.5 K)) J)))
  (exp (* 2.0 (- (+ (log 0.5) (log U)) (log J))))
  (exp (* 2.0 (- (+ (log (/ 0.5 (cos (* 0.5 K)))) (log (/ 1 J))) (log (/ 1 U)))))
  (exp (* 2.0 (- (+ (log (/ 0.5 (cos (* 0.5 K)))) (log (/ -1 J))) (log (/ -1 U)))))
  (* -2.0 J)
  (* -2.0 (* (cos (* 0.5 K)) J))
  (* -2.0 (* (cos (* 0.5 K)) J))
4.008 * * [simplify]: iteration 0: 192 enodes
4.064 * * [simplify]: iteration 1: 508 enodes
4.364 * * [simplify]: iteration 2: 2368 enodes
5.284 * * [simplify]: iteration complete: 5002 enodes
5.285 * * [simplify]: Extracting #0: cost 70 inf + 0
5.287 * * [simplify]: Extracting #1: cost 637 inf + 4
5.294 * * [simplify]: Extracting #2: cost 1750 inf + 137
5.305 * * [simplify]: Extracting #3: cost 1455 inf + 2081
5.316 * * [simplify]: Extracting #4: cost 1177 inf + 3803
5.337 * * [simplify]: Extracting #5: cost 729 inf + 8138
5.350 * * [simplify]: Extracting #6: cost 422 inf + 12171
5.362 * * [simplify]: Extracting #7: cost 270 inf + 15060
5.373 * * [simplify]: Extracting #8: cost 143 inf + 18548
5.384 * * [simplify]: Extracting #9: cost 14 inf + 22370
5.395 * * [simplify]: Extracting #10: cost 0 inf + 22796
5.406 * [simplify]: Simplified to:
  (log (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0))))
  (exp (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0))))
  (* (cbrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))) (cbrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))))
  (cbrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0))))
  (pow (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0))) 3)
  (fabs (cbrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0))))
  (sqrt (cbrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0))))
  (sqrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0))))
  (sqrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0))))
  1
  (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))
  1
  (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))
  (sqrt (+ (pow 1.0 3) (pow (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0) 3)))
  (sqrt (+ (* 1.0 1.0) (* (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0) (- (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0) 1.0))))
  (sqrt (- (* 1.0 1.0) (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) (* 2.0 2))))
  (sqrt (- 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))
  1/2
  (sqrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0))))
  (sqrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0))))
  (* (* (* -2.0 J) (cos (/ K 2.0))) (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0))))
  (* (* (* -2.0 J) (cos (/ K 2.0))) (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0))))
  (* (* (* -2.0 J) (cos (/ K 2.0))) (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0))))
  (log (* (* (* -2.0 J) (cos (/ K 2.0))) (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))))
  (log (* (* (* -2.0 J) (cos (/ K 2.0))) (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))))
  (log (* (* (* -2.0 J) (cos (/ K 2.0))) (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))))
  (log (* (* (* -2.0 J) (cos (/ K 2.0))) (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))))
  (pow (exp (* (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0))) (* -2.0 J))) (cos (/ K 2.0)))
  (pow (* (* (* -2.0 J) (cos (/ K 2.0))) (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))) 3)
  (pow (* (* (* -2.0 J) (cos (/ K 2.0))) (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))) 3)
  (pow (* (* (* -2.0 J) (cos (/ K 2.0))) (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))) 3)
  (* (cbrt (* (* (* -2.0 J) (cos (/ K 2.0))) (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0))))) (cbrt (* (* (* -2.0 J) (cos (/ K 2.0))) (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0))))))
  (cbrt (* (* (* -2.0 J) (cos (/ K 2.0))) (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))))
  (pow (* (* (* -2.0 J) (cos (/ K 2.0))) (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))) 3)
  (sqrt (* (* (* -2.0 J) (cos (/ K 2.0))) (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))))
  (sqrt (* (* (* -2.0 J) (cos (/ K 2.0))) (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))))
  (* (* (* (* -2.0 J) (cos (/ K 2.0))) (cbrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0))))) (cbrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))))
  (* (* (fabs (cbrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))) (cos (/ K 2.0))) (* -2.0 J))
  (* (* (* -2.0 J) (cos (/ K 2.0))) (sqrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))))
  (* (* -2.0 J) (cos (/ K 2.0)))
  (* (* -2.0 J) (cos (/ K 2.0)))
  (* (* (* -2.0 J) (cos (/ K 2.0))) (sqrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))))
  (* (* -2.0 J) (cos (/ K 2.0)))
  (* (cos (/ K 2.0)) (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0))))
  (* (* -2.0 J) (* (cos (/ K 2.0)) (sqrt (+ (pow 1.0 3) (pow (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0) 3)))))
  (* (sqrt (- (* 1.0 1.0) (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) (* 2.0 2)))) (* (* -2.0 J) (cos (/ K 2.0))))
  (* (log (/ (/ U 2.0) (* J (cos (/ K 2.0))))) 2.0)
  (* (log (/ (/ U 2.0) (* J (cos (/ K 2.0))))) 2.0)
  (* (log (/ (/ U 2.0) (* J (cos (/ K 2.0))))) 2.0)
  (* (log (/ (/ U 2.0) (* J (cos (/ K 2.0))))) 2.0)
  (* (log (/ (/ U 2.0) (* J (cos (/ K 2.0))))) 2.0)
  2.0
  (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) (* (cbrt 2.0) (cbrt 2.0)))
  (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) (sqrt 2.0))
  (/ (/ U 2.0) (* J (cos (/ K 2.0))))
  (pow (* (cbrt (/ (/ U 2.0) (* J (cos (/ K 2.0))))) (cbrt (/ (/ U 2.0) (* J (cos (/ K 2.0)))))) 2.0)
  (pow (cbrt (/ (/ U 2.0) (* J (cos (/ K 2.0))))) 2.0)
  (pow (sqrt (/ (/ U 2.0) (* J (cos (/ K 2.0))))) 2.0)
  (pow (sqrt (/ (/ U 2.0) (* J (cos (/ K 2.0))))) 2.0)
  (pow (/ (* (/ (cbrt U) 2.0) (cbrt U)) J) 2.0)
  (pow (/ (cbrt U) (cos (/ K 2.0))) 2.0)
  (pow (/ (/ (sqrt U) 2.0) J) 2.0)
  (pow (/ (sqrt U) (cos (/ K 2.0))) 2.0)
  (pow (/ (/ 1 J) 2.0) 2.0)
  (pow (/ U (cos (/ K 2.0))) 2.0)
  1
  (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)
  (pow U 2.0)
  (pow (/ (/ 1 (* J 2.0)) (cos (/ K 2.0))) 2.0)
  (* (log (/ (/ U 2.0) (* J (cos (/ K 2.0))))) 2.0)
  (exp (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0))
  (* (cbrt (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)) (cbrt (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))
  (cbrt (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0))
  (pow (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0) 3)
  (sqrt (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0))
  (sqrt (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0))
  (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) (/ 2.0 2))
  (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) (/ 2.0 2))
  (* (* -2.0 J) (cos (/ K 2.0)))
  (* (* -2.0 J) (cos (/ K 2.0)))
  (log (* (* -2.0 J) (cos (/ K 2.0))))
  (log (* (* -2.0 J) (cos (/ K 2.0))))
  (log (* (* -2.0 J) (cos (/ K 2.0))))
  (exp (* (* -2.0 J) (cos (/ K 2.0))))
  (pow (* (* -2.0 J) (cos (/ K 2.0))) 3)
  (pow (* (* -2.0 J) (cos (/ K 2.0))) 3)
  (* (cbrt (* (* -2.0 J) (cos (/ K 2.0)))) (cbrt (* (* -2.0 J) (cos (/ K 2.0)))))
  (cbrt (* (* -2.0 J) (cos (/ K 2.0))))
  (pow (* (* -2.0 J) (cos (/ K 2.0))) 3)
  (sqrt (* (* -2.0 J) (cos (/ K 2.0))))
  (sqrt (* (* -2.0 J) (cos (/ K 2.0))))
  (* (* -2.0 (* J (cbrt (cos (/ K 2.0))))) (cbrt (cos (/ K 2.0))))
  (* (* -2.0 J) (sqrt (cos (/ K 2.0))))
  (* -2.0 J)
  (* J (cos (/ K 2.0)))
  (sqrt 1.0)
  (* (/ (sqrt 0.25) (cos (* 0.5 K))) (/ U J))
  (* (/ (sqrt 0.25) (cos (* 0.5 K))) (/ U J))
  0
  (* (* (* -2.0 (sqrt 1.0)) J) (cos (* 0.5 K)))
  (* (* (* -2.0 (sqrt 1.0)) J) (cos (* 0.5 K)))
  (exp (* 2.0 (+ (log U) (- (log 0.5) (log J)))))
  (pow (exp 2.0) (+ (- (log (/ 0.5 (cos (* 0.5 K)))) (log J)) (log U)))
  (pow (exp (+ (log (/ -1 J)) (- (log (/ 0.5 (cos (* 0.5 K)))) (log (/ -1 U))))) 2.0)
  (* -2.0 J)
  (* -2.0 (* (cos (* 0.5 K)) J))
  (* -2.0 (* (cos (* 0.5 K)) J))
5.408 * * * [progress]: adding candidates to table
5.969 * * [progress]: iteration 2 / 4
5.969 * * * [progress]: picking best candidate
6.022 * * * * [pick]: Picked  #<alt (λ (J K U) (* (* (* -2.0 J) (cos (/ K 2.0))) (* (sqrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))) (sqrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))))))>
6.022 * * * [progress]: localizing error
6.054 * * * [progress]: generating rewritten candidates
6.054 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1)
6.131 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1)
6.242 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2)
6.324 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1)
6.403 * * * [progress]: generating series expansions
6.403 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1)
6.404 * [backup-simplify]: Simplify (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0))) into (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0))
6.404 * [approximate]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0)) in (U J K) around 0
6.404 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0)) in K
6.404 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0) in K
6.404 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) in K
6.404 * [taylor]: Taking taylor expansion of 0.25 in K
6.404 * [backup-simplify]: Simplify 0.25 into 0.25
6.404 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2))) in K
6.404 * [taylor]: Taking taylor expansion of (pow U 2) in K
6.404 * [taylor]: Taking taylor expansion of U in K
6.404 * [backup-simplify]: Simplify U into U
6.404 * [taylor]: Taking taylor expansion of (* (pow J 2) (pow (cos (* 0.5 K)) 2)) in K
6.404 * [taylor]: Taking taylor expansion of (pow J 2) in K
6.404 * [taylor]: Taking taylor expansion of J in K
6.404 * [backup-simplify]: Simplify J into J
6.404 * [taylor]: Taking taylor expansion of (pow (cos (* 0.5 K)) 2) in K
6.404 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in K
6.404 * [taylor]: Taking taylor expansion of (* 0.5 K) in K
6.404 * [taylor]: Taking taylor expansion of 0.5 in K
6.404 * [backup-simplify]: Simplify 0.5 into 0.5
6.404 * [taylor]: Taking taylor expansion of K in K
6.404 * [backup-simplify]: Simplify 0 into 0
6.404 * [backup-simplify]: Simplify 1 into 1
6.405 * [backup-simplify]: Simplify (* 0.5 0) into 0
6.406 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5
6.406 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.406 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.406 * [backup-simplify]: Simplify (* 1 1) into 1
6.406 * [backup-simplify]: Simplify (* (pow J 2) 1) into (pow J 2)
6.406 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
6.406 * [taylor]: Taking taylor expansion of 1.0 in K
6.406 * [backup-simplify]: Simplify 1.0 into 1.0
6.406 * [backup-simplify]: Simplify (* 0.25 (/ (pow U 2) (pow J 2))) into (* 0.25 (/ (pow U 2) (pow J 2)))
6.407 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow U 2) (pow J 2))) 1.0) into (+ (* 0.25 (/ (pow U 2) (pow J 2))) 1.0)
6.407 * [backup-simplify]: Simplify (sqrt (+ (* 0.25 (/ (pow U 2) (pow J 2))) 1.0)) into (sqrt (+ (* 0.25 (/ (pow U 2) (pow J 2))) 1.0))
6.407 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
6.407 * [backup-simplify]: Simplify (+ 0) into 0
6.408 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.408 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.408 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (* 0 1)) into 0
6.408 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
6.409 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
6.409 * [backup-simplify]: Simplify (+ 0 0) into 0
6.409 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 0.25 (/ (pow U 2) (pow J 2))) 1.0)))) into 0
6.409 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0)) in J
6.409 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0) in J
6.409 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) in J
6.409 * [taylor]: Taking taylor expansion of 0.25 in J
6.409 * [backup-simplify]: Simplify 0.25 into 0.25
6.409 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2))) in J
6.409 * [taylor]: Taking taylor expansion of (pow U 2) in J
6.409 * [taylor]: Taking taylor expansion of U in J
6.409 * [backup-simplify]: Simplify U into U
6.409 * [taylor]: Taking taylor expansion of (* (pow J 2) (pow (cos (* 0.5 K)) 2)) in J
6.409 * [taylor]: Taking taylor expansion of (pow J 2) in J
6.409 * [taylor]: Taking taylor expansion of J in J
6.409 * [backup-simplify]: Simplify 0 into 0
6.409 * [backup-simplify]: Simplify 1 into 1
6.409 * [taylor]: Taking taylor expansion of (pow (cos (* 0.5 K)) 2) in J
6.409 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in J
6.409 * [taylor]: Taking taylor expansion of (* 0.5 K) in J
6.410 * [taylor]: Taking taylor expansion of 0.5 in J
6.410 * [backup-simplify]: Simplify 0.5 into 0.5
6.410 * [taylor]: Taking taylor expansion of K in J
6.410 * [backup-simplify]: Simplify K into K
6.410 * [backup-simplify]: Simplify (* 0.5 K) into (* 0.5 K)
6.410 * [backup-simplify]: Simplify (cos (* 0.5 K)) into (cos (* 0.5 K))
6.410 * [backup-simplify]: Simplify (sin (* 0.5 K)) into (sin (* 0.5 K))
6.410 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) 1) into (cos (* 0.5 K))
6.410 * [backup-simplify]: Simplify (* (sin (* 0.5 K)) 0) into 0
6.410 * [backup-simplify]: Simplify (- 0) into 0
6.410 * [backup-simplify]: Simplify (+ (cos (* 0.5 K)) 0) into (cos (* 0.5 K))
6.410 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.410 * [backup-simplify]: Simplify (* 1 1) into 1
6.411 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) (cos (* 0.5 K))) into (pow (cos (* 0.5 K)) 2)
6.411 * [backup-simplify]: Simplify (* 1 (pow (cos (* 0.5 K)) 2)) into (pow (cos (* 0.5 K)) 2)
6.411 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 0.5 K)) 2)) into (/ (pow U 2) (pow (cos (* 0.5 K)) 2))
6.411 * [taylor]: Taking taylor expansion of 1.0 in J
6.411 * [backup-simplify]: Simplify 1.0 into 1.0
6.411 * [backup-simplify]: Simplify (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2))) into (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2)))
6.411 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2))) 0) into (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2)))
6.411 * [backup-simplify]: Simplify (sqrt (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2)))) into (/ (* (sqrt 0.25) U) (cos (* 0.5 K)))
6.412 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
6.412 * [backup-simplify]: Simplify (+ 0) into 0
6.412 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (* 0 1)) into 0
6.412 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 K)) into 0
6.413 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.413 * [backup-simplify]: Simplify (+ (* (sin (* 0.5 K)) 0) (* 0 0)) into 0
6.413 * [backup-simplify]: Simplify (- 0) into 0
6.414 * [backup-simplify]: Simplify (+ 0 0) into 0
6.414 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (* 0 (cos (* 0.5 K)))) into 0
6.414 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.415 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (* 0.5 K)) 2))) into 0
6.415 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 0.5 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 0.5 K)) 2)) (/ 0 (pow (cos (* 0.5 K)) 2))))) into 0
6.415 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow U 2) (pow (cos (* 0.5 K)) 2)))) into 0
6.416 * [backup-simplify]: Simplify (+ 0 0) into 0
6.416 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2)))))) into 0
6.416 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0)) in U
6.416 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0) in U
6.416 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) in U
6.416 * [taylor]: Taking taylor expansion of 0.25 in U
6.416 * [backup-simplify]: Simplify 0.25 into 0.25
6.416 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2))) in U
6.416 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.416 * [taylor]: Taking taylor expansion of U in U
6.416 * [backup-simplify]: Simplify 0 into 0
6.416 * [backup-simplify]: Simplify 1 into 1
6.416 * [taylor]: Taking taylor expansion of (* (pow J 2) (pow (cos (* 0.5 K)) 2)) in U
6.416 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.416 * [taylor]: Taking taylor expansion of J in U
6.416 * [backup-simplify]: Simplify J into J
6.416 * [taylor]: Taking taylor expansion of (pow (cos (* 0.5 K)) 2) in U
6.416 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in U
6.416 * [taylor]: Taking taylor expansion of (* 0.5 K) in U
6.416 * [taylor]: Taking taylor expansion of 0.5 in U
6.416 * [backup-simplify]: Simplify 0.5 into 0.5
6.416 * [taylor]: Taking taylor expansion of K in U
6.416 * [backup-simplify]: Simplify K into K
6.416 * [backup-simplify]: Simplify (* 0.5 K) into (* 0.5 K)
6.416 * [backup-simplify]: Simplify (cos (* 0.5 K)) into (cos (* 0.5 K))
6.416 * [backup-simplify]: Simplify (sin (* 0.5 K)) into (sin (* 0.5 K))
6.416 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) 1) into (cos (* 0.5 K))
6.417 * [backup-simplify]: Simplify (* (sin (* 0.5 K)) 0) into 0
6.417 * [backup-simplify]: Simplify (- 0) into 0
6.417 * [backup-simplify]: Simplify (+ (cos (* 0.5 K)) 0) into (cos (* 0.5 K))
6.417 * [backup-simplify]: Simplify (* 1 1) into 1
6.417 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.417 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) (cos (* 0.5 K))) into (pow (cos (* 0.5 K)) 2)
6.417 * [backup-simplify]: Simplify (* (pow J 2) (pow (cos (* 0.5 K)) 2)) into (* (pow J 2) (pow (cos (* 0.5 K)) 2))
6.418 * [backup-simplify]: Simplify (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2))) into (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2)))
6.418 * [taylor]: Taking taylor expansion of 1.0 in U
6.418 * [backup-simplify]: Simplify 1.0 into 1.0
6.418 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
6.418 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
6.418 * [backup-simplify]: Simplify (+ 0 0) into 0
6.419 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
6.419 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0)) in U
6.419 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0) in U
6.419 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) in U
6.419 * [taylor]: Taking taylor expansion of 0.25 in U
6.419 * [backup-simplify]: Simplify 0.25 into 0.25
6.419 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2))) in U
6.419 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.419 * [taylor]: Taking taylor expansion of U in U
6.419 * [backup-simplify]: Simplify 0 into 0
6.419 * [backup-simplify]: Simplify 1 into 1
6.419 * [taylor]: Taking taylor expansion of (* (pow J 2) (pow (cos (* 0.5 K)) 2)) in U
6.419 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.419 * [taylor]: Taking taylor expansion of J in U
6.419 * [backup-simplify]: Simplify J into J
6.419 * [taylor]: Taking taylor expansion of (pow (cos (* 0.5 K)) 2) in U
6.419 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in U
6.419 * [taylor]: Taking taylor expansion of (* 0.5 K) in U
6.419 * [taylor]: Taking taylor expansion of 0.5 in U
6.419 * [backup-simplify]: Simplify 0.5 into 0.5
6.419 * [taylor]: Taking taylor expansion of K in U
6.419 * [backup-simplify]: Simplify K into K
6.419 * [backup-simplify]: Simplify (* 0.5 K) into (* 0.5 K)
6.419 * [backup-simplify]: Simplify (cos (* 0.5 K)) into (cos (* 0.5 K))
6.419 * [backup-simplify]: Simplify (sin (* 0.5 K)) into (sin (* 0.5 K))
6.419 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) 1) into (cos (* 0.5 K))
6.419 * [backup-simplify]: Simplify (* (sin (* 0.5 K)) 0) into 0
6.420 * [backup-simplify]: Simplify (- 0) into 0
6.420 * [backup-simplify]: Simplify (+ (cos (* 0.5 K)) 0) into (cos (* 0.5 K))
6.420 * [backup-simplify]: Simplify (* 1 1) into 1
6.420 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.420 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) (cos (* 0.5 K))) into (pow (cos (* 0.5 K)) 2)
6.420 * [backup-simplify]: Simplify (* (pow J 2) (pow (cos (* 0.5 K)) 2)) into (* (pow J 2) (pow (cos (* 0.5 K)) 2))
6.421 * [backup-simplify]: Simplify (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2))) into (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2)))
6.421 * [taylor]: Taking taylor expansion of 1.0 in U
6.421 * [backup-simplify]: Simplify 1.0 into 1.0
6.421 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
6.421 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
6.421 * [backup-simplify]: Simplify (+ 0 0) into 0
6.422 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
6.422 * [taylor]: Taking taylor expansion of (sqrt 1.0) in J
6.422 * [taylor]: Taking taylor expansion of 1.0 in J
6.422 * [backup-simplify]: Simplify 1.0 into 1.0
6.422 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
6.423 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
6.423 * [taylor]: Taking taylor expansion of 0 in J
6.423 * [backup-simplify]: Simplify 0 into 0
6.423 * [taylor]: Taking taylor expansion of (sqrt 1.0) in K
6.423 * [taylor]: Taking taylor expansion of 1.0 in K
6.423 * [backup-simplify]: Simplify 1.0 into 1.0
6.423 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
6.423 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
6.424 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
6.424 * [backup-simplify]: Simplify (* 0.25 (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) into (/ 0.25 (* (pow J 2) (pow (cos (* 0.5 K)) 2)))
6.424 * [backup-simplify]: Simplify (+ (/ 0.25 (* (pow J 2) (pow (cos (* 0.5 K)) 2))) 0) into (* 0.25 (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2))))
6.425 * [backup-simplify]: Simplify (/ (- (* 0.25 (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ 0.125 (* (sqrt 1.0) (* (pow J 2) (pow (cos (* 0.5 K)) 2))))
6.425 * [taylor]: Taking taylor expansion of (/ 0.125 (* (sqrt 1.0) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) in J
6.425 * [taylor]: Taking taylor expansion of 0.125 in J
6.425 * [backup-simplify]: Simplify 0.125 into 0.125
6.426 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (* (pow J 2) (pow (cos (* 0.5 K)) 2))) in J
6.426 * [taylor]: Taking taylor expansion of (sqrt 1.0) in J
6.426 * [taylor]: Taking taylor expansion of 1.0 in J
6.426 * [backup-simplify]: Simplify 1.0 into 1.0
6.426 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
6.426 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
6.426 * [taylor]: Taking taylor expansion of (* (pow J 2) (pow (cos (* 0.5 K)) 2)) in J
6.426 * [taylor]: Taking taylor expansion of (pow J 2) in J
6.426 * [taylor]: Taking taylor expansion of J in J
6.426 * [backup-simplify]: Simplify 0 into 0
6.426 * [backup-simplify]: Simplify 1 into 1
6.426 * [taylor]: Taking taylor expansion of (pow (cos (* 0.5 K)) 2) in J
6.426 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in J
6.426 * [taylor]: Taking taylor expansion of (* 0.5 K) in J
6.426 * [taylor]: Taking taylor expansion of 0.5 in J
6.426 * [backup-simplify]: Simplify 0.5 into 0.5
6.426 * [taylor]: Taking taylor expansion of K in J
6.426 * [backup-simplify]: Simplify K into K
6.426 * [backup-simplify]: Simplify (* 0.5 K) into (* 0.5 K)
6.427 * [backup-simplify]: Simplify (cos (* 0.5 K)) into (cos (* 0.5 K))
6.427 * [backup-simplify]: Simplify (sin (* 0.5 K)) into (sin (* 0.5 K))
6.427 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) 1) into (cos (* 0.5 K))
6.427 * [backup-simplify]: Simplify (* (sin (* 0.5 K)) 0) into 0
6.427 * [backup-simplify]: Simplify (- 0) into 0
6.427 * [backup-simplify]: Simplify (+ (cos (* 0.5 K)) 0) into (cos (* 0.5 K))
6.427 * [backup-simplify]: Simplify (* 1 1) into 1
6.427 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) (cos (* 0.5 K))) into (pow (cos (* 0.5 K)) 2)
6.427 * [backup-simplify]: Simplify (* 1 (pow (cos (* 0.5 K)) 2)) into (pow (cos (* 0.5 K)) 2)
6.428 * [backup-simplify]: Simplify (* (sqrt 1.0) (pow (cos (* 0.5 K)) 2)) into (* (sqrt 1.0) (pow (cos (* 0.5 K)) 2))
6.429 * [backup-simplify]: Simplify (/ 0.125 (* (sqrt 1.0) (pow (cos (* 0.5 K)) 2))) into (/ 0.125 (* (sqrt 1.0) (pow (cos (* 0.5 K)) 2)))
6.429 * [backup-simplify]: Simplify (+ 0) into 0
6.429 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (* 0 1)) into 0
6.430 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 K)) into 0
6.431 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.431 * [backup-simplify]: Simplify (+ (* (sin (* 0.5 K)) 0) (* 0 0)) into 0
6.432 * [backup-simplify]: Simplify (- 0) into 0
6.432 * [backup-simplify]: Simplify (+ 0 0) into 0
6.432 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (* 0 (cos (* 0.5 K)))) into 0
6.433 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.434 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (* 0.5 K)) 2))) into 0
6.434 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (pow (cos (* 0.5 K)) 2))) into 0
6.436 * [backup-simplify]: Simplify (- (/ 0 (* (sqrt 1.0) (pow (cos (* 0.5 K)) 2))) (+ (* (/ 0.125 (* (sqrt 1.0) (pow (cos (* 0.5 K)) 2))) (/ 0 (* (sqrt 1.0) (pow (cos (* 0.5 K)) 2)))))) into 0
6.436 * [taylor]: Taking taylor expansion of 0 in K
6.436 * [backup-simplify]: Simplify 0 into 0
6.436 * [backup-simplify]: Simplify 0 into 0
6.436 * [taylor]: Taking taylor expansion of 0 in K
6.436 * [backup-simplify]: Simplify 0 into 0
6.436 * [backup-simplify]: Simplify 0 into 0
6.436 * [taylor]: Taking taylor expansion of 0 in K
6.437 * [backup-simplify]: Simplify 0 into 0
6.437 * [backup-simplify]: Simplify 0 into 0
6.437 * [backup-simplify]: Simplify 0 into 0
6.437 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.438 * [backup-simplify]: Simplify (+ 0) into 0
6.438 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (* 0 1)) into 0
6.439 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 K)) into 0
6.439 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.440 * [backup-simplify]: Simplify (+ (* (sin (* 0.5 K)) 0) (* 0 0)) into 0
6.440 * [backup-simplify]: Simplify (- 0) into 0
6.441 * [backup-simplify]: Simplify (+ 0 0) into 0
6.441 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (* 0 (cos (* 0.5 K)))) into 0
6.441 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.441 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (* 0 (pow (cos (* 0.5 K)) 2))) into 0
6.442 * [backup-simplify]: Simplify (- (/ 0 (* (pow J 2) (pow (cos (* 0.5 K)) 2))) (+ (* (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2))) (/ 0 (* (pow J 2) (pow (cos (* 0.5 K)) 2)))))) into 0
6.443 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2))))) into 0
6.443 * [backup-simplify]: Simplify (+ 0 0) into 0
6.445 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.125 (* (sqrt 1.0) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))))))) (* 2 (sqrt 1.0))) into 0
6.445 * [taylor]: Taking taylor expansion of 0 in J
6.445 * [backup-simplify]: Simplify 0 into 0
6.446 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.446 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (+ (* 0 0) (* 0 1))) into 0
6.446 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 K))) into 0
6.447 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.447 * [backup-simplify]: Simplify (+ (* (sin (* 0.5 K)) 0) (+ (* 0 0) (* 0 0))) into 0
6.448 * [backup-simplify]: Simplify (- 0) into 0
6.448 * [backup-simplify]: Simplify (+ 0 0) into 0
6.448 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (+ (* 0 0) (* 0 (cos (* 0.5 K))))) into 0
6.449 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.449 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (* 0.5 K)) 2)))) into 0
6.450 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
6.451 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* 0 (pow (cos (* 0.5 K)) 2)))) into 0
6.452 * [backup-simplify]: Simplify (- (/ 0 (* (sqrt 1.0) (pow (cos (* 0.5 K)) 2))) (+ (* (/ 0.125 (* (sqrt 1.0) (pow (cos (* 0.5 K)) 2))) (/ 0 (* (sqrt 1.0) (pow (cos (* 0.5 K)) 2)))) (* 0 (/ 0 (* (sqrt 1.0) (pow (cos (* 0.5 K)) 2)))))) into 0
6.452 * [taylor]: Taking taylor expansion of 0 in K
6.452 * [backup-simplify]: Simplify 0 into 0
6.452 * [backup-simplify]: Simplify 0 into 0
6.452 * [taylor]: Taking taylor expansion of 0 in K
6.452 * [backup-simplify]: Simplify 0 into 0
6.452 * [backup-simplify]: Simplify 0 into 0
6.453 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
6.453 * [backup-simplify]: Simplify (sqrt (+ 1.0 (pow (/ (/ (/ 1 U) 2.0) (* (/ 1 J) (cos (/ (/ 1 K) 2.0)))) 2.0))) into (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0))
6.453 * [approximate]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) in (U J K) around 0
6.453 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) in K
6.453 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0) in K
6.453 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) in K
6.453 * [taylor]: Taking taylor expansion of 0.25 in K
6.453 * [backup-simplify]: Simplify 0.25 into 0.25
6.453 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))) in K
6.453 * [taylor]: Taking taylor expansion of (pow J 2) in K
6.453 * [taylor]: Taking taylor expansion of J in K
6.453 * [backup-simplify]: Simplify J into J
6.453 * [taylor]: Taking taylor expansion of (* (pow (cos (/ 0.5 K)) 2) (pow U 2)) in K
6.453 * [taylor]: Taking taylor expansion of (pow (cos (/ 0.5 K)) 2) in K
6.453 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in K
6.453 * [taylor]: Taking taylor expansion of (/ 0.5 K) in K
6.453 * [taylor]: Taking taylor expansion of 0.5 in K
6.453 * [backup-simplify]: Simplify 0.5 into 0.5
6.453 * [taylor]: Taking taylor expansion of K in K
6.453 * [backup-simplify]: Simplify 0 into 0
6.453 * [backup-simplify]: Simplify 1 into 1
6.454 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5
6.454 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
6.454 * [taylor]: Taking taylor expansion of (pow U 2) in K
6.454 * [taylor]: Taking taylor expansion of U in K
6.454 * [backup-simplify]: Simplify U into U
6.454 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.454 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) (cos (/ 0.5 K))) into (pow (cos (/ 0.5 K)) 2)
6.454 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.454 * [backup-simplify]: Simplify (* (pow (cos (/ 0.5 K)) 2) (pow U 2)) into (* (pow U 2) (pow (cos (/ 0.5 K)) 2))
6.454 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 0.5 K)) 2))) into (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))
6.454 * [taylor]: Taking taylor expansion of 1.0 in K
6.454 * [backup-simplify]: Simplify 1.0 into 1.0
6.455 * [backup-simplify]: Simplify (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) into (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))))
6.455 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0) into (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)
6.455 * [backup-simplify]: Simplify (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) into (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0))
6.456 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.456 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
6.456 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 (cos (/ 0.5 K)))) into 0
6.456 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 0.5 K)) 2) 0) (* 0 (pow U 2))) into 0
6.456 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 0.5 K)) 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))) (/ 0 (* (pow U 2) (pow (cos (/ 0.5 K)) 2)))))) into 0
6.457 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))))) into 0
6.457 * [backup-simplify]: Simplify (+ 0 0) into 0
6.458 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)))) into 0
6.458 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) in J
6.458 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0) in J
6.458 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) in J
6.458 * [taylor]: Taking taylor expansion of 0.25 in J
6.458 * [backup-simplify]: Simplify 0.25 into 0.25
6.458 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))) in J
6.458 * [taylor]: Taking taylor expansion of (pow J 2) in J
6.458 * [taylor]: Taking taylor expansion of J in J
6.458 * [backup-simplify]: Simplify 0 into 0
6.458 * [backup-simplify]: Simplify 1 into 1
6.458 * [taylor]: Taking taylor expansion of (* (pow (cos (/ 0.5 K)) 2) (pow U 2)) in J
6.458 * [taylor]: Taking taylor expansion of (pow (cos (/ 0.5 K)) 2) in J
6.458 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in J
6.458 * [taylor]: Taking taylor expansion of (/ 0.5 K) in J
6.458 * [taylor]: Taking taylor expansion of 0.5 in J
6.458 * [backup-simplify]: Simplify 0.5 into 0.5
6.458 * [taylor]: Taking taylor expansion of K in J
6.458 * [backup-simplify]: Simplify K into K
6.458 * [backup-simplify]: Simplify (/ 0.5 K) into (/ 0.5 K)
6.458 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
6.459 * [backup-simplify]: Simplify (sin (/ 0.5 K)) into (sin (/ 0.5 K))
6.459 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
6.459 * [backup-simplify]: Simplify (* (sin (/ 0.5 K)) 0) into 0
6.459 * [backup-simplify]: Simplify (- 0) into 0
6.459 * [backup-simplify]: Simplify (+ (cos (/ 0.5 K)) 0) into (cos (/ 0.5 K))
6.459 * [taylor]: Taking taylor expansion of (pow U 2) in J
6.459 * [taylor]: Taking taylor expansion of U in J
6.459 * [backup-simplify]: Simplify U into U
6.459 * [backup-simplify]: Simplify (* 1 1) into 1
6.459 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) (cos (/ 0.5 K))) into (pow (cos (/ 0.5 K)) 2)
6.459 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.460 * [backup-simplify]: Simplify (* (pow (cos (/ 0.5 K)) 2) (pow U 2)) into (* (pow U 2) (pow (cos (/ 0.5 K)) 2))
6.460 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 0.5 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 0.5 K)) 2)))
6.460 * [taylor]: Taking taylor expansion of 1.0 in J
6.460 * [backup-simplify]: Simplify 1.0 into 1.0
6.460 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
6.460 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
6.461 * [backup-simplify]: Simplify (+ 0 0) into 0
6.461 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
6.461 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) in U
6.461 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0) in U
6.461 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) in U
6.461 * [taylor]: Taking taylor expansion of 0.25 in U
6.461 * [backup-simplify]: Simplify 0.25 into 0.25
6.461 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))) in U
6.461 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.461 * [taylor]: Taking taylor expansion of J in U
6.461 * [backup-simplify]: Simplify J into J
6.461 * [taylor]: Taking taylor expansion of (* (pow (cos (/ 0.5 K)) 2) (pow U 2)) in U
6.461 * [taylor]: Taking taylor expansion of (pow (cos (/ 0.5 K)) 2) in U
6.461 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in U
6.461 * [taylor]: Taking taylor expansion of (/ 0.5 K) in U
6.461 * [taylor]: Taking taylor expansion of 0.5 in U
6.461 * [backup-simplify]: Simplify 0.5 into 0.5
6.461 * [taylor]: Taking taylor expansion of K in U
6.461 * [backup-simplify]: Simplify K into K
6.461 * [backup-simplify]: Simplify (/ 0.5 K) into (/ 0.5 K)
6.461 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
6.461 * [backup-simplify]: Simplify (sin (/ 0.5 K)) into (sin (/ 0.5 K))
6.462 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
6.462 * [backup-simplify]: Simplify (* (sin (/ 0.5 K)) 0) into 0
6.462 * [backup-simplify]: Simplify (- 0) into 0
6.462 * [backup-simplify]: Simplify (+ (cos (/ 0.5 K)) 0) into (cos (/ 0.5 K))
6.462 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.462 * [taylor]: Taking taylor expansion of U in U
6.462 * [backup-simplify]: Simplify 0 into 0
6.462 * [backup-simplify]: Simplify 1 into 1
6.462 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.462 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) (cos (/ 0.5 K))) into (pow (cos (/ 0.5 K)) 2)
6.462 * [backup-simplify]: Simplify (* 1 1) into 1
6.463 * [backup-simplify]: Simplify (* (pow (cos (/ 0.5 K)) 2) 1) into (pow (cos (/ 0.5 K)) 2)
6.463 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)) into (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))
6.463 * [taylor]: Taking taylor expansion of 1.0 in U
6.463 * [backup-simplify]: Simplify 1.0 into 1.0
6.463 * [backup-simplify]: Simplify (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))) into (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))
6.463 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))) 0) into (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))
6.463 * [backup-simplify]: Simplify (sqrt (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) into (/ (* (sqrt 0.25) J) (cos (/ 0.5 K)))
6.463 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.464 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.464 * [backup-simplify]: Simplify (+ 0) into 0
6.464 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 1)) into 0
6.465 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)))) into 0
6.465 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.465 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (* 0 0)) into 0
6.466 * [backup-simplify]: Simplify (- 0) into 0
6.466 * [backup-simplify]: Simplify (+ 0 0) into 0
6.466 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 (cos (/ 0.5 K)))) into 0
6.466 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 0.5 K)) 2) 0) (* 0 1)) into 0
6.467 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 0.5 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)) (/ 0 (pow (cos (/ 0.5 K)) 2))))) into 0
6.467 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) into 0
6.467 * [backup-simplify]: Simplify (+ 0 0) into 0
6.468 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))))) into 0
6.468 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) in U
6.468 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0) in U
6.468 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) in U
6.468 * [taylor]: Taking taylor expansion of 0.25 in U
6.468 * [backup-simplify]: Simplify 0.25 into 0.25
6.468 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))) in U
6.468 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.468 * [taylor]: Taking taylor expansion of J in U
6.468 * [backup-simplify]: Simplify J into J
6.468 * [taylor]: Taking taylor expansion of (* (pow (cos (/ 0.5 K)) 2) (pow U 2)) in U
6.468 * [taylor]: Taking taylor expansion of (pow (cos (/ 0.5 K)) 2) in U
6.468 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in U
6.468 * [taylor]: Taking taylor expansion of (/ 0.5 K) in U
6.468 * [taylor]: Taking taylor expansion of 0.5 in U
6.468 * [backup-simplify]: Simplify 0.5 into 0.5
6.468 * [taylor]: Taking taylor expansion of K in U
6.468 * [backup-simplify]: Simplify K into K
6.468 * [backup-simplify]: Simplify (/ 0.5 K) into (/ 0.5 K)
6.468 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
6.468 * [backup-simplify]: Simplify (sin (/ 0.5 K)) into (sin (/ 0.5 K))
6.468 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
6.468 * [backup-simplify]: Simplify (* (sin (/ 0.5 K)) 0) into 0
6.470 * [backup-simplify]: Simplify (- 0) into 0
6.470 * [backup-simplify]: Simplify (+ (cos (/ 0.5 K)) 0) into (cos (/ 0.5 K))
6.470 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.470 * [taylor]: Taking taylor expansion of U in U
6.470 * [backup-simplify]: Simplify 0 into 0
6.470 * [backup-simplify]: Simplify 1 into 1
6.470 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.470 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) (cos (/ 0.5 K))) into (pow (cos (/ 0.5 K)) 2)
6.471 * [backup-simplify]: Simplify (* 1 1) into 1
6.471 * [backup-simplify]: Simplify (* (pow (cos (/ 0.5 K)) 2) 1) into (pow (cos (/ 0.5 K)) 2)
6.471 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)) into (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))
6.471 * [taylor]: Taking taylor expansion of 1.0 in U
6.471 * [backup-simplify]: Simplify 1.0 into 1.0
6.471 * [backup-simplify]: Simplify (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))) into (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))
6.471 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))) 0) into (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))
6.472 * [backup-simplify]: Simplify (sqrt (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) into (/ (* (sqrt 0.25) J) (cos (/ 0.5 K)))
6.472 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.472 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.472 * [backup-simplify]: Simplify (+ 0) into 0
6.473 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 1)) into 0
6.473 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)))) into 0
6.473 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.474 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (* 0 0)) into 0
6.474 * [backup-simplify]: Simplify (- 0) into 0
6.474 * [backup-simplify]: Simplify (+ 0 0) into 0
6.474 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 (cos (/ 0.5 K)))) into 0
6.475 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 0.5 K)) 2) 0) (* 0 1)) into 0
6.475 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 0.5 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)) (/ 0 (pow (cos (/ 0.5 K)) 2))))) into 0
6.475 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) into 0
6.476 * [backup-simplify]: Simplify (+ 0 0) into 0
6.476 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))))) into 0
6.476 * [taylor]: Taking taylor expansion of (/ (* (sqrt 0.25) J) (cos (/ 0.5 K))) in J
6.476 * [taylor]: Taking taylor expansion of (* (sqrt 0.25) J) in J
6.476 * [taylor]: Taking taylor expansion of (sqrt 0.25) in J
6.476 * [taylor]: Taking taylor expansion of 0.25 in J
6.476 * [backup-simplify]: Simplify 0.25 into 0.25
6.477 * [backup-simplify]: Simplify (sqrt 0.25) into (sqrt 0.25)
6.477 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.25))) into 0
6.477 * [taylor]: Taking taylor expansion of J in J
6.477 * [backup-simplify]: Simplify 0 into 0
6.478 * [backup-simplify]: Simplify 1 into 1
6.478 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in J
6.478 * [taylor]: Taking taylor expansion of (/ 0.5 K) in J
6.478 * [taylor]: Taking taylor expansion of 0.5 in J
6.478 * [backup-simplify]: Simplify 0.5 into 0.5
6.478 * [taylor]: Taking taylor expansion of K in J
6.478 * [backup-simplify]: Simplify K into K
6.478 * [backup-simplify]: Simplify (/ 0.5 K) into (/ 0.5 K)
6.478 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
6.478 * [backup-simplify]: Simplify (sin (/ 0.5 K)) into (sin (/ 0.5 K))
6.478 * [backup-simplify]: Simplify (* (sqrt 0.25) 0) into 0
6.481 * [backup-simplify]: Simplify (+ (* (sqrt 0.25) 1) (* 0 0)) into (sqrt 0.25)
6.481 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
6.481 * [backup-simplify]: Simplify (* (sin (/ 0.5 K)) 0) into 0
6.481 * [backup-simplify]: Simplify (- 0) into 0
6.481 * [backup-simplify]: Simplify (+ (cos (/ 0.5 K)) 0) into (cos (/ 0.5 K))
6.482 * [backup-simplify]: Simplify (/ (sqrt 0.25) (cos (/ 0.5 K))) into (/ (sqrt 0.25) (cos (/ 0.5 K)))
6.482 * [taylor]: Taking taylor expansion of 0 in J
6.482 * [backup-simplify]: Simplify 0 into 0
6.482 * [taylor]: Taking taylor expansion of 0 in K
6.482 * [backup-simplify]: Simplify 0 into 0
6.482 * [backup-simplify]: Simplify 0 into 0
6.482 * [taylor]: Taking taylor expansion of (/ (sqrt 0.25) (cos (/ 0.5 K))) in K
6.482 * [taylor]: Taking taylor expansion of (sqrt 0.25) in K
6.482 * [taylor]: Taking taylor expansion of 0.25 in K
6.482 * [backup-simplify]: Simplify 0.25 into 0.25
6.483 * [backup-simplify]: Simplify (sqrt 0.25) into (sqrt 0.25)
6.483 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.25))) into 0
6.483 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in K
6.483 * [taylor]: Taking taylor expansion of (/ 0.5 K) in K
6.483 * [taylor]: Taking taylor expansion of 0.5 in K
6.483 * [backup-simplify]: Simplify 0.5 into 0.5
6.483 * [taylor]: Taking taylor expansion of K in K
6.484 * [backup-simplify]: Simplify 0 into 0
6.484 * [backup-simplify]: Simplify 1 into 1
6.484 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5
6.484 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
6.485 * [backup-simplify]: Simplify (/ (sqrt 0.25) (cos (/ 0.5 K))) into (/ (sqrt 0.25) (cos (/ 0.5 K)))
6.485 * [backup-simplify]: Simplify (/ (sqrt 0.25) (cos (/ 0.5 K))) into (/ (sqrt 0.25) (cos (/ 0.5 K)))
6.486 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
6.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.487 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.488 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (+ (* 0 0) (* 0 1))) into 0
6.489 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
6.489 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.490 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (+ (* 0 0) (* 0 0))) into 0
6.490 * [backup-simplify]: Simplify (- 0) into 0
6.491 * [backup-simplify]: Simplify (+ 0 0) into 0
6.491 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (+ (* 0 0) (* 0 (cos (/ 0.5 K))))) into 0
6.492 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 0.5 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
6.493 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 0.5 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)) (/ 0 (pow (cos (/ 0.5 K)) 2))) (* 0 (/ 0 (pow (cos (/ 0.5 K)) 2))))) into 0
6.494 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))))) into 0
6.495 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
6.497 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (/ (* (sqrt 0.25) J) (cos (/ 0.5 K))))) into (* 0.5 (/ (cos (/ 0.5 K)) (* (sqrt 0.25) J)))
6.497 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 0.5 K)) (* (sqrt 0.25) J))) in J
6.497 * [taylor]: Taking taylor expansion of 0.5 in J
6.497 * [backup-simplify]: Simplify 0.5 into 0.5
6.497 * [taylor]: Taking taylor expansion of (/ (cos (/ 0.5 K)) (* (sqrt 0.25) J)) in J
6.497 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in J
6.497 * [taylor]: Taking taylor expansion of (/ 0.5 K) in J
6.497 * [taylor]: Taking taylor expansion of 0.5 in J
6.497 * [backup-simplify]: Simplify 0.5 into 0.5
6.497 * [taylor]: Taking taylor expansion of K in J
6.498 * [backup-simplify]: Simplify K into K
6.498 * [backup-simplify]: Simplify (/ 0.5 K) into (/ 0.5 K)
6.498 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
6.498 * [backup-simplify]: Simplify (sin (/ 0.5 K)) into (sin (/ 0.5 K))
6.498 * [taylor]: Taking taylor expansion of (* (sqrt 0.25) J) in J
6.498 * [taylor]: Taking taylor expansion of (sqrt 0.25) in J
6.498 * [taylor]: Taking taylor expansion of 0.25 in J
6.498 * [backup-simplify]: Simplify 0.25 into 0.25
6.498 * [backup-simplify]: Simplify (sqrt 0.25) into (sqrt 0.25)
6.499 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.25))) into 0
6.499 * [taylor]: Taking taylor expansion of J in J
6.499 * [backup-simplify]: Simplify 0 into 0
6.499 * [backup-simplify]: Simplify 1 into 1
6.499 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
6.499 * [backup-simplify]: Simplify (* (sin (/ 0.5 K)) 0) into 0
6.500 * [backup-simplify]: Simplify (- 0) into 0
6.500 * [backup-simplify]: Simplify (+ (cos (/ 0.5 K)) 0) into (cos (/ 0.5 K))
6.500 * [backup-simplify]: Simplify (* (sqrt 0.25) 0) into 0
6.503 * [backup-simplify]: Simplify (+ (* (sqrt 0.25) 1) (* 0 0)) into (sqrt 0.25)
6.503 * [backup-simplify]: Simplify (/ (cos (/ 0.5 K)) (sqrt 0.25)) into (/ (cos (/ 0.5 K)) (sqrt 0.25))
6.503 * [backup-simplify]: Simplify (+ 0) into 0
6.504 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 1)) into 0
6.504 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)))) into 0
6.505 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.506 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (* 0 0)) into 0
6.506 * [backup-simplify]: Simplify (- 0) into 0
6.506 * [backup-simplify]: Simplify (+ 0 0) into 0
6.508 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.25))) into 0
6.509 * [backup-simplify]: Simplify (+ (* (sqrt 0.25) 0) (+ (* 0 1) (* 0 0))) into 0
6.511 * [backup-simplify]: Simplify (- (/ 0 (sqrt 0.25)) (+ (* (/ (cos (/ 0.5 K)) (sqrt 0.25)) (/ 0 (sqrt 0.25))))) into 0
6.511 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ (cos (/ 0.5 K)) (sqrt 0.25)))) into 0
6.512 * [taylor]: Taking taylor expansion of 0 in K
6.512 * [backup-simplify]: Simplify 0 into 0
6.512 * [backup-simplify]: Simplify 0 into 0
6.512 * [taylor]: Taking taylor expansion of 0 in K
6.512 * [backup-simplify]: Simplify 0 into 0
6.512 * [backup-simplify]: Simplify 0 into 0
6.512 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.25))) into 0
6.513 * [backup-simplify]: Simplify (+ (* (sqrt 0.25) 0) (+ (* 0 1) (* 0 0))) into 0
6.513 * [backup-simplify]: Simplify (+ 0) into 0
6.514 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 1)) into 0
6.514 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)))) into 0
6.514 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.515 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (* 0 0)) into 0
6.515 * [backup-simplify]: Simplify (- 0) into 0
6.515 * [backup-simplify]: Simplify (+ 0 0) into 0
6.515 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 0.5 K))) (+ (* (/ (sqrt 0.25) (cos (/ 0.5 K))) (/ 0 (cos (/ 0.5 K)))))) into 0
6.515 * [taylor]: Taking taylor expansion of 0 in K
6.515 * [backup-simplify]: Simplify 0 into 0
6.516 * [backup-simplify]: Simplify 0 into 0
6.516 * [backup-simplify]: Simplify 0 into 0
6.516 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 0.5 K))) (+ (* (/ (sqrt 0.25) (cos (/ 0.5 K))) (/ 0 (cos (/ 0.5 K)))))) into 0
6.516 * [backup-simplify]: Simplify 0 into 0
6.517 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
6.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.518 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
6.518 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.518 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
6.519 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
6.520 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
6.520 * [backup-simplify]: Simplify (- 0) into 0
6.520 * [backup-simplify]: Simplify (+ 0 0) into 0
6.521 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 0.5 K)))))) into 0
6.521 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 0.5 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.522 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 0.5 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)) (/ 0 (pow (cos (/ 0.5 K)) 2))) (* 0 (/ 0 (pow (cos (/ 0.5 K)) 2))) (* 0 (/ 0 (pow (cos (/ 0.5 K)) 2))))) into 0
6.523 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))))) into 0
6.523 * [backup-simplify]: Simplify (+ 0 0) into 0
6.524 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 0.5 (/ (cos (/ 0.5 K)) (* (sqrt 0.25) J))))))) (* 2 (/ (* (sqrt 0.25) J) (cos (/ 0.5 K))))) into 0
6.524 * [taylor]: Taking taylor expansion of 0 in J
6.524 * [backup-simplify]: Simplify 0 into 0
6.524 * [taylor]: Taking taylor expansion of 0 in K
6.524 * [backup-simplify]: Simplify 0 into 0
6.524 * [backup-simplify]: Simplify 0 into 0
6.524 * [backup-simplify]: Simplify (* (/ (sqrt 0.25) (cos (/ 0.5 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (/ (* (sqrt 0.25) U) (* (cos (* 0.5 K)) J))
6.525 * [backup-simplify]: Simplify (sqrt (+ 1.0 (pow (/ (/ (/ 1 (- U)) 2.0) (* (/ 1 (- J)) (cos (/ (/ 1 (- K)) 2.0)))) 2.0))) into (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0))
6.525 * [approximate]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)) in (U J K) around 0
6.525 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)) in K
6.525 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0) in K
6.525 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) in K
6.525 * [taylor]: Taking taylor expansion of 0.25 in K
6.525 * [backup-simplify]: Simplify 0.25 into 0.25
6.525 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) in K
6.525 * [taylor]: Taking taylor expansion of (pow J 2) in K
6.525 * [taylor]: Taking taylor expansion of J in K
6.525 * [backup-simplify]: Simplify J into J
6.525 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -0.5 K)) 2) (pow U 2)) in K
6.525 * [taylor]: Taking taylor expansion of (pow (cos (/ -0.5 K)) 2) in K
6.525 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in K
6.525 * [taylor]: Taking taylor expansion of (/ -0.5 K) in K
6.525 * [taylor]: Taking taylor expansion of -0.5 in K
6.525 * [backup-simplify]: Simplify -0.5 into -0.5
6.525 * [taylor]: Taking taylor expansion of K in K
6.525 * [backup-simplify]: Simplify 0 into 0
6.525 * [backup-simplify]: Simplify 1 into 1
6.525 * [backup-simplify]: Simplify (/ -0.5 1) into -0.5
6.525 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
6.525 * [taylor]: Taking taylor expansion of (pow U 2) in K
6.525 * [taylor]: Taking taylor expansion of U in K
6.525 * [backup-simplify]: Simplify U into U
6.525 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.525 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) (cos (/ -0.5 K))) into (pow (cos (/ -0.5 K)) 2)
6.526 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.526 * [backup-simplify]: Simplify (* (pow (cos (/ -0.5 K)) 2) (pow U 2)) into (* (pow (cos (/ -0.5 K)) 2) (pow U 2))
6.526 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))
6.526 * [taylor]: Taking taylor expansion of 1.0 in K
6.526 * [backup-simplify]: Simplify 1.0 into 1.0
6.526 * [backup-simplify]: Simplify (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) into (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))))
6.526 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0) into (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)
6.527 * [backup-simplify]: Simplify (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)) into (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0))
6.527 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.527 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
6.527 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 (cos (/ -0.5 K)))) into 0
6.527 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -0.5 K)) 2) 0) (* 0 (pow U 2))) into 0
6.528 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))))) into 0
6.528 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))))) into 0
6.529 * [backup-simplify]: Simplify (+ 0 0) into 0
6.529 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)))) into 0
6.529 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)) in J
6.529 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0) in J
6.529 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) in J
6.529 * [taylor]: Taking taylor expansion of 0.25 in J
6.529 * [backup-simplify]: Simplify 0.25 into 0.25
6.529 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) in J
6.529 * [taylor]: Taking taylor expansion of (pow J 2) in J
6.529 * [taylor]: Taking taylor expansion of J in J
6.529 * [backup-simplify]: Simplify 0 into 0
6.529 * [backup-simplify]: Simplify 1 into 1
6.529 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -0.5 K)) 2) (pow U 2)) in J
6.529 * [taylor]: Taking taylor expansion of (pow (cos (/ -0.5 K)) 2) in J
6.529 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in J
6.529 * [taylor]: Taking taylor expansion of (/ -0.5 K) in J
6.529 * [taylor]: Taking taylor expansion of -0.5 in J
6.529 * [backup-simplify]: Simplify -0.5 into -0.5
6.529 * [taylor]: Taking taylor expansion of K in J
6.529 * [backup-simplify]: Simplify K into K
6.529 * [backup-simplify]: Simplify (/ -0.5 K) into (/ -0.5 K)
6.529 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
6.529 * [backup-simplify]: Simplify (sin (/ -0.5 K)) into (sin (/ -0.5 K))
6.529 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
6.530 * [backup-simplify]: Simplify (* (sin (/ -0.5 K)) 0) into 0
6.530 * [backup-simplify]: Simplify (- 0) into 0
6.530 * [backup-simplify]: Simplify (+ (cos (/ -0.5 K)) 0) into (cos (/ -0.5 K))
6.530 * [taylor]: Taking taylor expansion of (pow U 2) in J
6.530 * [taylor]: Taking taylor expansion of U in J
6.530 * [backup-simplify]: Simplify U into U
6.530 * [backup-simplify]: Simplify (* 1 1) into 1
6.530 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) (cos (/ -0.5 K))) into (pow (cos (/ -0.5 K)) 2)
6.530 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.530 * [backup-simplify]: Simplify (* (pow (cos (/ -0.5 K)) 2) (pow U 2)) into (* (pow (cos (/ -0.5 K)) 2) (pow U 2))
6.531 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))
6.531 * [taylor]: Taking taylor expansion of 1.0 in J
6.531 * [backup-simplify]: Simplify 1.0 into 1.0
6.531 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
6.531 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
6.531 * [backup-simplify]: Simplify (+ 0 0) into 0
6.532 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
6.532 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)) in U
6.532 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0) in U
6.532 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) in U
6.532 * [taylor]: Taking taylor expansion of 0.25 in U
6.532 * [backup-simplify]: Simplify 0.25 into 0.25
6.532 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) in U
6.532 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.532 * [taylor]: Taking taylor expansion of J in U
6.532 * [backup-simplify]: Simplify J into J
6.532 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -0.5 K)) 2) (pow U 2)) in U
6.532 * [taylor]: Taking taylor expansion of (pow (cos (/ -0.5 K)) 2) in U
6.532 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in U
6.532 * [taylor]: Taking taylor expansion of (/ -0.5 K) in U
6.532 * [taylor]: Taking taylor expansion of -0.5 in U
6.532 * [backup-simplify]: Simplify -0.5 into -0.5
6.532 * [taylor]: Taking taylor expansion of K in U
6.532 * [backup-simplify]: Simplify K into K
6.532 * [backup-simplify]: Simplify (/ -0.5 K) into (/ -0.5 K)
6.532 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
6.532 * [backup-simplify]: Simplify (sin (/ -0.5 K)) into (sin (/ -0.5 K))
6.532 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
6.532 * [backup-simplify]: Simplify (* (sin (/ -0.5 K)) 0) into 0
6.533 * [backup-simplify]: Simplify (- 0) into 0
6.533 * [backup-simplify]: Simplify (+ (cos (/ -0.5 K)) 0) into (cos (/ -0.5 K))
6.533 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.533 * [taylor]: Taking taylor expansion of U in U
6.533 * [backup-simplify]: Simplify 0 into 0
6.533 * [backup-simplify]: Simplify 1 into 1
6.533 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.533 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) (cos (/ -0.5 K))) into (pow (cos (/ -0.5 K)) 2)
6.533 * [backup-simplify]: Simplify (* 1 1) into 1
6.533 * [backup-simplify]: Simplify (* (pow (cos (/ -0.5 K)) 2) 1) into (pow (cos (/ -0.5 K)) 2)
6.534 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)) into (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))
6.534 * [taylor]: Taking taylor expansion of 1.0 in U
6.534 * [backup-simplify]: Simplify 1.0 into 1.0
6.534 * [backup-simplify]: Simplify (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))) into (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))
6.534 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))) 0) into (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))
6.534 * [backup-simplify]: Simplify (sqrt (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) into (/ (* (sqrt 0.25) J) (cos (/ -0.5 K)))
6.534 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.535 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.535 * [backup-simplify]: Simplify (+ 0) into 0
6.535 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 1)) into 0
6.535 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)))) into 0
6.536 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.536 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (* 0 0)) into 0
6.536 * [backup-simplify]: Simplify (- 0) into 0
6.537 * [backup-simplify]: Simplify (+ 0 0) into 0
6.537 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 (cos (/ -0.5 K)))) into 0
6.537 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -0.5 K)) 2) 0) (* 0 1)) into 0
6.538 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -0.5 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)) (/ 0 (pow (cos (/ -0.5 K)) 2))))) into 0
6.538 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) into 0
6.538 * [backup-simplify]: Simplify (+ 0 0) into 0
6.539 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))))) into 0
6.539 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)) in U
6.539 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0) in U
6.539 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) in U
6.539 * [taylor]: Taking taylor expansion of 0.25 in U
6.539 * [backup-simplify]: Simplify 0.25 into 0.25
6.539 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) in U
6.539 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.539 * [taylor]: Taking taylor expansion of J in U
6.539 * [backup-simplify]: Simplify J into J
6.539 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -0.5 K)) 2) (pow U 2)) in U
6.539 * [taylor]: Taking taylor expansion of (pow (cos (/ -0.5 K)) 2) in U
6.539 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in U
6.539 * [taylor]: Taking taylor expansion of (/ -0.5 K) in U
6.539 * [taylor]: Taking taylor expansion of -0.5 in U
6.539 * [backup-simplify]: Simplify -0.5 into -0.5
6.539 * [taylor]: Taking taylor expansion of K in U
6.539 * [backup-simplify]: Simplify K into K
6.539 * [backup-simplify]: Simplify (/ -0.5 K) into (/ -0.5 K)
6.539 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
6.539 * [backup-simplify]: Simplify (sin (/ -0.5 K)) into (sin (/ -0.5 K))
6.539 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
6.539 * [backup-simplify]: Simplify (* (sin (/ -0.5 K)) 0) into 0
6.539 * [backup-simplify]: Simplify (- 0) into 0
6.539 * [backup-simplify]: Simplify (+ (cos (/ -0.5 K)) 0) into (cos (/ -0.5 K))
6.539 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.539 * [taylor]: Taking taylor expansion of U in U
6.539 * [backup-simplify]: Simplify 0 into 0
6.539 * [backup-simplify]: Simplify 1 into 1
6.540 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.540 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) (cos (/ -0.5 K))) into (pow (cos (/ -0.5 K)) 2)
6.540 * [backup-simplify]: Simplify (* 1 1) into 1
6.540 * [backup-simplify]: Simplify (* (pow (cos (/ -0.5 K)) 2) 1) into (pow (cos (/ -0.5 K)) 2)
6.540 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)) into (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))
6.540 * [taylor]: Taking taylor expansion of 1.0 in U
6.541 * [backup-simplify]: Simplify 1.0 into 1.0
6.541 * [backup-simplify]: Simplify (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))) into (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))
6.541 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))) 0) into (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))
6.542 * [backup-simplify]: Simplify (sqrt (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) into (/ (* (sqrt 0.25) J) (cos (/ -0.5 K)))
6.542 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.543 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.543 * [backup-simplify]: Simplify (+ 0) into 0
6.544 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 1)) into 0
6.544 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)))) into 0
6.545 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.545 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (* 0 0)) into 0
6.545 * [backup-simplify]: Simplify (- 0) into 0
6.546 * [backup-simplify]: Simplify (+ 0 0) into 0
6.546 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 (cos (/ -0.5 K)))) into 0
6.547 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -0.5 K)) 2) 0) (* 0 1)) into 0
6.547 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -0.5 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)) (/ 0 (pow (cos (/ -0.5 K)) 2))))) into 0
6.548 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) into 0
6.549 * [backup-simplify]: Simplify (+ 0 0) into 0
6.549 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))))) into 0
6.549 * [taylor]: Taking taylor expansion of (/ (* (sqrt 0.25) J) (cos (/ -0.5 K))) in J
6.549 * [taylor]: Taking taylor expansion of (* (sqrt 0.25) J) in J
6.549 * [taylor]: Taking taylor expansion of (sqrt 0.25) in J
6.549 * [taylor]: Taking taylor expansion of 0.25 in J
6.549 * [backup-simplify]: Simplify 0.25 into 0.25
6.550 * [backup-simplify]: Simplify (sqrt 0.25) into (sqrt 0.25)
6.550 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.25))) into 0
6.550 * [taylor]: Taking taylor expansion of J in J
6.550 * [backup-simplify]: Simplify 0 into 0
6.550 * [backup-simplify]: Simplify 1 into 1
6.550 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in J
6.551 * [taylor]: Taking taylor expansion of (/ -0.5 K) in J
6.551 * [taylor]: Taking taylor expansion of -0.5 in J
6.551 * [backup-simplify]: Simplify -0.5 into -0.5
6.551 * [taylor]: Taking taylor expansion of K in J
6.551 * [backup-simplify]: Simplify K into K
6.551 * [backup-simplify]: Simplify (/ -0.5 K) into (/ -0.5 K)
6.551 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
6.551 * [backup-simplify]: Simplify (sin (/ -0.5 K)) into (sin (/ -0.5 K))
6.551 * [backup-simplify]: Simplify (* (sqrt 0.25) 0) into 0
6.554 * [backup-simplify]: Simplify (+ (* (sqrt 0.25) 1) (* 0 0)) into (sqrt 0.25)
6.554 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
6.554 * [backup-simplify]: Simplify (* (sin (/ -0.5 K)) 0) into 0
6.554 * [backup-simplify]: Simplify (- 0) into 0
6.554 * [backup-simplify]: Simplify (+ (cos (/ -0.5 K)) 0) into (cos (/ -0.5 K))
6.555 * [backup-simplify]: Simplify (/ (sqrt 0.25) (cos (/ -0.5 K))) into (/ (sqrt 0.25) (cos (/ -0.5 K)))
6.555 * [taylor]: Taking taylor expansion of 0 in J
6.555 * [backup-simplify]: Simplify 0 into 0
6.555 * [taylor]: Taking taylor expansion of 0 in K
6.555 * [backup-simplify]: Simplify 0 into 0
6.555 * [backup-simplify]: Simplify 0 into 0
6.555 * [taylor]: Taking taylor expansion of (/ (sqrt 0.25) (cos (/ -0.5 K))) in K
6.555 * [taylor]: Taking taylor expansion of (sqrt 0.25) in K
6.555 * [taylor]: Taking taylor expansion of 0.25 in K
6.555 * [backup-simplify]: Simplify 0.25 into 0.25
6.556 * [backup-simplify]: Simplify (sqrt 0.25) into (sqrt 0.25)
6.557 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.25))) into 0
6.557 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in K
6.557 * [taylor]: Taking taylor expansion of (/ -0.5 K) in K
6.557 * [taylor]: Taking taylor expansion of -0.5 in K
6.557 * [backup-simplify]: Simplify -0.5 into -0.5
6.557 * [taylor]: Taking taylor expansion of K in K
6.557 * [backup-simplify]: Simplify 0 into 0
6.557 * [backup-simplify]: Simplify 1 into 1
6.557 * [backup-simplify]: Simplify (/ -0.5 1) into -0.5
6.557 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
6.558 * [backup-simplify]: Simplify (/ (sqrt 0.25) (cos (/ -0.5 K))) into (/ (sqrt 0.25) (cos (/ -0.5 K)))
6.558 * [backup-simplify]: Simplify (/ (sqrt 0.25) (cos (/ -0.5 K))) into (/ (sqrt 0.25) (cos (/ -0.5 K)))
6.559 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
6.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.561 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.562 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (+ (* 0 0) (* 0 1))) into 0
6.562 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
6.563 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.563 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (+ (* 0 0) (* 0 0))) into 0
6.564 * [backup-simplify]: Simplify (- 0) into 0
6.564 * [backup-simplify]: Simplify (+ 0 0) into 0
6.565 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (+ (* 0 0) (* 0 (cos (/ -0.5 K))))) into 0
6.566 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -0.5 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
6.566 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -0.5 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)) (/ 0 (pow (cos (/ -0.5 K)) 2))) (* 0 (/ 0 (pow (cos (/ -0.5 K)) 2))))) into 0
6.568 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))))) into 0
6.568 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
6.570 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (/ (* (sqrt 0.25) J) (cos (/ -0.5 K))))) into (* 0.5 (/ (cos (/ -0.5 K)) (* (sqrt 0.25) J)))
6.570 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -0.5 K)) (* (sqrt 0.25) J))) in J
6.570 * [taylor]: Taking taylor expansion of 0.5 in J
6.570 * [backup-simplify]: Simplify 0.5 into 0.5
6.570 * [taylor]: Taking taylor expansion of (/ (cos (/ -0.5 K)) (* (sqrt 0.25) J)) in J
6.570 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in J
6.570 * [taylor]: Taking taylor expansion of (/ -0.5 K) in J
6.570 * [taylor]: Taking taylor expansion of -0.5 in J
6.570 * [backup-simplify]: Simplify -0.5 into -0.5
6.571 * [taylor]: Taking taylor expansion of K in J
6.571 * [backup-simplify]: Simplify K into K
6.571 * [backup-simplify]: Simplify (/ -0.5 K) into (/ -0.5 K)
6.571 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
6.571 * [backup-simplify]: Simplify (sin (/ -0.5 K)) into (sin (/ -0.5 K))
6.571 * [taylor]: Taking taylor expansion of (* (sqrt 0.25) J) in J
6.571 * [taylor]: Taking taylor expansion of (sqrt 0.25) in J
6.571 * [taylor]: Taking taylor expansion of 0.25 in J
6.571 * [backup-simplify]: Simplify 0.25 into 0.25
6.571 * [backup-simplify]: Simplify (sqrt 0.25) into (sqrt 0.25)
6.572 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.25))) into 0
6.572 * [taylor]: Taking taylor expansion of J in J
6.572 * [backup-simplify]: Simplify 0 into 0
6.572 * [backup-simplify]: Simplify 1 into 1
6.572 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
6.572 * [backup-simplify]: Simplify (* (sin (/ -0.5 K)) 0) into 0
6.573 * [backup-simplify]: Simplify (- 0) into 0
6.573 * [backup-simplify]: Simplify (+ (cos (/ -0.5 K)) 0) into (cos (/ -0.5 K))
6.574 * [backup-simplify]: Simplify (* (sqrt 0.25) 0) into 0
6.576 * [backup-simplify]: Simplify (+ (* (sqrt 0.25) 1) (* 0 0)) into (sqrt 0.25)
6.576 * [backup-simplify]: Simplify (/ (cos (/ -0.5 K)) (sqrt 0.25)) into (/ (cos (/ -0.5 K)) (sqrt 0.25))
6.577 * [backup-simplify]: Simplify (+ 0) into 0
6.577 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 1)) into 0
6.578 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)))) into 0
6.578 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.579 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (* 0 0)) into 0
6.579 * [backup-simplify]: Simplify (- 0) into 0
6.580 * [backup-simplify]: Simplify (+ 0 0) into 0
6.581 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.25))) into 0
6.582 * [backup-simplify]: Simplify (+ (* (sqrt 0.25) 0) (+ (* 0 1) (* 0 0))) into 0
6.584 * [backup-simplify]: Simplify (- (/ 0 (sqrt 0.25)) (+ (* (/ (cos (/ -0.5 K)) (sqrt 0.25)) (/ 0 (sqrt 0.25))))) into 0
6.585 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ (cos (/ -0.5 K)) (sqrt 0.25)))) into 0
6.585 * [taylor]: Taking taylor expansion of 0 in K
6.585 * [backup-simplify]: Simplify 0 into 0
6.585 * [backup-simplify]: Simplify 0 into 0
6.585 * [taylor]: Taking taylor expansion of 0 in K
6.585 * [backup-simplify]: Simplify 0 into 0
6.585 * [backup-simplify]: Simplify 0 into 0
6.586 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.25))) into 0
6.587 * [backup-simplify]: Simplify (+ (* (sqrt 0.25) 0) (+ (* 0 1) (* 0 0))) into 0
6.588 * [backup-simplify]: Simplify (+ 0) into 0
6.588 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 1)) into 0
6.588 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)))) into 0
6.589 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.590 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (* 0 0)) into 0
6.590 * [backup-simplify]: Simplify (- 0) into 0
6.591 * [backup-simplify]: Simplify (+ 0 0) into 0
6.591 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -0.5 K))) (+ (* (/ (sqrt 0.25) (cos (/ -0.5 K))) (/ 0 (cos (/ -0.5 K)))))) into 0
6.591 * [taylor]: Taking taylor expansion of 0 in K
6.592 * [backup-simplify]: Simplify 0 into 0
6.592 * [backup-simplify]: Simplify 0 into 0
6.592 * [backup-simplify]: Simplify 0 into 0
6.592 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -0.5 K))) (+ (* (/ (sqrt 0.25) (cos (/ -0.5 K))) (/ 0 (cos (/ -0.5 K)))))) into 0
6.592 * [backup-simplify]: Simplify 0 into 0
6.593 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
6.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.595 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
6.596 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.597 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
6.598 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
6.599 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
6.599 * [backup-simplify]: Simplify (- 0) into 0
6.600 * [backup-simplify]: Simplify (+ 0 0) into 0
6.601 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -0.5 K)))))) into 0
6.602 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -0.5 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.603 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -0.5 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)) (/ 0 (pow (cos (/ -0.5 K)) 2))) (* 0 (/ 0 (pow (cos (/ -0.5 K)) 2))) (* 0 (/ 0 (pow (cos (/ -0.5 K)) 2))))) into 0
6.604 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))))) into 0
6.605 * [backup-simplify]: Simplify (+ 0 0) into 0
6.606 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 0.5 (/ (cos (/ -0.5 K)) (* (sqrt 0.25) J))))))) (* 2 (/ (* (sqrt 0.25) J) (cos (/ -0.5 K))))) into 0
6.606 * [taylor]: Taking taylor expansion of 0 in J
6.606 * [backup-simplify]: Simplify 0 into 0
6.606 * [taylor]: Taking taylor expansion of 0 in K
6.606 * [backup-simplify]: Simplify 0 into 0
6.606 * [backup-simplify]: Simplify 0 into 0
6.607 * [backup-simplify]: Simplify (* (/ (sqrt 0.25) (cos (/ -0.5 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (/ (* (sqrt 0.25) U) (* (cos (* 0.5 K)) J))
6.607 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1)
6.608 * [backup-simplify]: Simplify (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0))) into (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0))
6.608 * [approximate]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0)) in (U J K) around 0
6.608 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0)) in K
6.608 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0) in K
6.608 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) in K
6.608 * [taylor]: Taking taylor expansion of 0.25 in K
6.608 * [backup-simplify]: Simplify 0.25 into 0.25
6.608 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2))) in K
6.608 * [taylor]: Taking taylor expansion of (pow U 2) in K
6.608 * [taylor]: Taking taylor expansion of U in K
6.608 * [backup-simplify]: Simplify U into U
6.608 * [taylor]: Taking taylor expansion of (* (pow J 2) (pow (cos (* 0.5 K)) 2)) in K
6.608 * [taylor]: Taking taylor expansion of (pow J 2) in K
6.608 * [taylor]: Taking taylor expansion of J in K
6.608 * [backup-simplify]: Simplify J into J
6.608 * [taylor]: Taking taylor expansion of (pow (cos (* 0.5 K)) 2) in K
6.608 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in K
6.608 * [taylor]: Taking taylor expansion of (* 0.5 K) in K
6.608 * [taylor]: Taking taylor expansion of 0.5 in K
6.608 * [backup-simplify]: Simplify 0.5 into 0.5
6.608 * [taylor]: Taking taylor expansion of K in K
6.608 * [backup-simplify]: Simplify 0 into 0
6.608 * [backup-simplify]: Simplify 1 into 1
6.611 * [backup-simplify]: Simplify (* 0.5 0) into 0
6.612 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5
6.613 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.613 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.613 * [backup-simplify]: Simplify (* 1 1) into 1
6.613 * [backup-simplify]: Simplify (* (pow J 2) 1) into (pow J 2)
6.613 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
6.613 * [taylor]: Taking taylor expansion of 1.0 in K
6.614 * [backup-simplify]: Simplify 1.0 into 1.0
6.614 * [backup-simplify]: Simplify (* 0.25 (/ (pow U 2) (pow J 2))) into (* 0.25 (/ (pow U 2) (pow J 2)))
6.614 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow U 2) (pow J 2))) 1.0) into (+ (* 0.25 (/ (pow U 2) (pow J 2))) 1.0)
6.615 * [backup-simplify]: Simplify (sqrt (+ (* 0.25 (/ (pow U 2) (pow J 2))) 1.0)) into (sqrt (+ (* 0.25 (/ (pow U 2) (pow J 2))) 1.0))
6.615 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
6.615 * [backup-simplify]: Simplify (+ 0) into 0
6.616 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.616 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.617 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (* 0 1)) into 0
6.617 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
6.618 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
6.618 * [backup-simplify]: Simplify (+ 0 0) into 0
6.619 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 0.25 (/ (pow U 2) (pow J 2))) 1.0)))) into 0
6.619 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0)) in J
6.619 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0) in J
6.619 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) in J
6.619 * [taylor]: Taking taylor expansion of 0.25 in J
6.619 * [backup-simplify]: Simplify 0.25 into 0.25
6.619 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2))) in J
6.619 * [taylor]: Taking taylor expansion of (pow U 2) in J
6.619 * [taylor]: Taking taylor expansion of U in J
6.619 * [backup-simplify]: Simplify U into U
6.619 * [taylor]: Taking taylor expansion of (* (pow J 2) (pow (cos (* 0.5 K)) 2)) in J
6.619 * [taylor]: Taking taylor expansion of (pow J 2) in J
6.619 * [taylor]: Taking taylor expansion of J in J
6.619 * [backup-simplify]: Simplify 0 into 0
6.619 * [backup-simplify]: Simplify 1 into 1
6.619 * [taylor]: Taking taylor expansion of (pow (cos (* 0.5 K)) 2) in J
6.619 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in J
6.619 * [taylor]: Taking taylor expansion of (* 0.5 K) in J
6.619 * [taylor]: Taking taylor expansion of 0.5 in J
6.619 * [backup-simplify]: Simplify 0.5 into 0.5
6.619 * [taylor]: Taking taylor expansion of K in J
6.619 * [backup-simplify]: Simplify K into K
6.619 * [backup-simplify]: Simplify (* 0.5 K) into (* 0.5 K)
6.620 * [backup-simplify]: Simplify (cos (* 0.5 K)) into (cos (* 0.5 K))
6.620 * [backup-simplify]: Simplify (sin (* 0.5 K)) into (sin (* 0.5 K))
6.620 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) 1) into (cos (* 0.5 K))
6.620 * [backup-simplify]: Simplify (* (sin (* 0.5 K)) 0) into 0
6.620 * [backup-simplify]: Simplify (- 0) into 0
6.620 * [backup-simplify]: Simplify (+ (cos (* 0.5 K)) 0) into (cos (* 0.5 K))
6.620 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.621 * [backup-simplify]: Simplify (* 1 1) into 1
6.621 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) (cos (* 0.5 K))) into (pow (cos (* 0.5 K)) 2)
6.621 * [backup-simplify]: Simplify (* 1 (pow (cos (* 0.5 K)) 2)) into (pow (cos (* 0.5 K)) 2)
6.622 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 0.5 K)) 2)) into (/ (pow U 2) (pow (cos (* 0.5 K)) 2))
6.622 * [taylor]: Taking taylor expansion of 1.0 in J
6.622 * [backup-simplify]: Simplify 1.0 into 1.0
6.622 * [backup-simplify]: Simplify (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2))) into (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2)))
6.622 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2))) 0) into (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2)))
6.623 * [backup-simplify]: Simplify (sqrt (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2)))) into (/ (* (sqrt 0.25) U) (cos (* 0.5 K)))
6.623 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
6.624 * [backup-simplify]: Simplify (+ 0) into 0
6.624 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (* 0 1)) into 0
6.625 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 K)) into 0
6.625 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.626 * [backup-simplify]: Simplify (+ (* (sin (* 0.5 K)) 0) (* 0 0)) into 0
6.626 * [backup-simplify]: Simplify (- 0) into 0
6.627 * [backup-simplify]: Simplify (+ 0 0) into 0
6.627 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (* 0 (cos (* 0.5 K)))) into 0
6.628 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.628 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (* 0.5 K)) 2))) into 0
6.629 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 0.5 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 0.5 K)) 2)) (/ 0 (pow (cos (* 0.5 K)) 2))))) into 0
6.630 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow U 2) (pow (cos (* 0.5 K)) 2)))) into 0
6.630 * [backup-simplify]: Simplify (+ 0 0) into 0
6.631 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2)))))) into 0
6.631 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0)) in U
6.631 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0) in U
6.631 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) in U
6.631 * [taylor]: Taking taylor expansion of 0.25 in U
6.631 * [backup-simplify]: Simplify 0.25 into 0.25
6.631 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2))) in U
6.631 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.631 * [taylor]: Taking taylor expansion of U in U
6.631 * [backup-simplify]: Simplify 0 into 0
6.631 * [backup-simplify]: Simplify 1 into 1
6.631 * [taylor]: Taking taylor expansion of (* (pow J 2) (pow (cos (* 0.5 K)) 2)) in U
6.631 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.631 * [taylor]: Taking taylor expansion of J in U
6.631 * [backup-simplify]: Simplify J into J
6.631 * [taylor]: Taking taylor expansion of (pow (cos (* 0.5 K)) 2) in U
6.631 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in U
6.631 * [taylor]: Taking taylor expansion of (* 0.5 K) in U
6.631 * [taylor]: Taking taylor expansion of 0.5 in U
6.631 * [backup-simplify]: Simplify 0.5 into 0.5
6.631 * [taylor]: Taking taylor expansion of K in U
6.631 * [backup-simplify]: Simplify K into K
6.631 * [backup-simplify]: Simplify (* 0.5 K) into (* 0.5 K)
6.631 * [backup-simplify]: Simplify (cos (* 0.5 K)) into (cos (* 0.5 K))
6.632 * [backup-simplify]: Simplify (sin (* 0.5 K)) into (sin (* 0.5 K))
6.632 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) 1) into (cos (* 0.5 K))
6.632 * [backup-simplify]: Simplify (* (sin (* 0.5 K)) 0) into 0
6.632 * [backup-simplify]: Simplify (- 0) into 0
6.632 * [backup-simplify]: Simplify (+ (cos (* 0.5 K)) 0) into (cos (* 0.5 K))
6.633 * [backup-simplify]: Simplify (* 1 1) into 1
6.633 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.633 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) (cos (* 0.5 K))) into (pow (cos (* 0.5 K)) 2)
6.633 * [backup-simplify]: Simplify (* (pow J 2) (pow (cos (* 0.5 K)) 2)) into (* (pow J 2) (pow (cos (* 0.5 K)) 2))
6.634 * [backup-simplify]: Simplify (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2))) into (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2)))
6.634 * [taylor]: Taking taylor expansion of 1.0 in U
6.634 * [backup-simplify]: Simplify 1.0 into 1.0
6.634 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
6.635 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
6.635 * [backup-simplify]: Simplify (+ 0 0) into 0
6.636 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
6.636 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0)) in U
6.636 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0) in U
6.636 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) in U
6.636 * [taylor]: Taking taylor expansion of 0.25 in U
6.636 * [backup-simplify]: Simplify 0.25 into 0.25
6.636 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2))) in U
6.636 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.636 * [taylor]: Taking taylor expansion of U in U
6.637 * [backup-simplify]: Simplify 0 into 0
6.637 * [backup-simplify]: Simplify 1 into 1
6.637 * [taylor]: Taking taylor expansion of (* (pow J 2) (pow (cos (* 0.5 K)) 2)) in U
6.637 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.637 * [taylor]: Taking taylor expansion of J in U
6.637 * [backup-simplify]: Simplify J into J
6.637 * [taylor]: Taking taylor expansion of (pow (cos (* 0.5 K)) 2) in U
6.637 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in U
6.637 * [taylor]: Taking taylor expansion of (* 0.5 K) in U
6.637 * [taylor]: Taking taylor expansion of 0.5 in U
6.637 * [backup-simplify]: Simplify 0.5 into 0.5
6.637 * [taylor]: Taking taylor expansion of K in U
6.637 * [backup-simplify]: Simplify K into K
6.637 * [backup-simplify]: Simplify (* 0.5 K) into (* 0.5 K)
6.637 * [backup-simplify]: Simplify (cos (* 0.5 K)) into (cos (* 0.5 K))
6.637 * [backup-simplify]: Simplify (sin (* 0.5 K)) into (sin (* 0.5 K))
6.637 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) 1) into (cos (* 0.5 K))
6.637 * [backup-simplify]: Simplify (* (sin (* 0.5 K)) 0) into 0
6.638 * [backup-simplify]: Simplify (- 0) into 0
6.638 * [backup-simplify]: Simplify (+ (cos (* 0.5 K)) 0) into (cos (* 0.5 K))
6.638 * [backup-simplify]: Simplify (* 1 1) into 1
6.639 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.639 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) (cos (* 0.5 K))) into (pow (cos (* 0.5 K)) 2)
6.639 * [backup-simplify]: Simplify (* (pow J 2) (pow (cos (* 0.5 K)) 2)) into (* (pow J 2) (pow (cos (* 0.5 K)) 2))
6.639 * [backup-simplify]: Simplify (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2))) into (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2)))
6.639 * [taylor]: Taking taylor expansion of 1.0 in U
6.640 * [backup-simplify]: Simplify 1.0 into 1.0
6.640 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
6.640 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
6.641 * [backup-simplify]: Simplify (+ 0 0) into 0
6.642 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
6.642 * [taylor]: Taking taylor expansion of (sqrt 1.0) in J
6.642 * [taylor]: Taking taylor expansion of 1.0 in J
6.642 * [backup-simplify]: Simplify 1.0 into 1.0
6.643 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
6.643 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
6.643 * [taylor]: Taking taylor expansion of 0 in J
6.643 * [backup-simplify]: Simplify 0 into 0
6.644 * [taylor]: Taking taylor expansion of (sqrt 1.0) in K
6.644 * [taylor]: Taking taylor expansion of 1.0 in K
6.644 * [backup-simplify]: Simplify 1.0 into 1.0
6.644 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
6.645 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
6.645 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
6.646 * [backup-simplify]: Simplify (* 0.25 (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) into (/ 0.25 (* (pow J 2) (pow (cos (* 0.5 K)) 2)))
6.646 * [backup-simplify]: Simplify (+ (/ 0.25 (* (pow J 2) (pow (cos (* 0.5 K)) 2))) 0) into (* 0.25 (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2))))
6.648 * [backup-simplify]: Simplify (/ (- (* 0.25 (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ 0.125 (* (sqrt 1.0) (* (pow J 2) (pow (cos (* 0.5 K)) 2))))
6.648 * [taylor]: Taking taylor expansion of (/ 0.125 (* (sqrt 1.0) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) in J
6.648 * [taylor]: Taking taylor expansion of 0.125 in J
6.648 * [backup-simplify]: Simplify 0.125 into 0.125
6.648 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (* (pow J 2) (pow (cos (* 0.5 K)) 2))) in J
6.648 * [taylor]: Taking taylor expansion of (sqrt 1.0) in J
6.648 * [taylor]: Taking taylor expansion of 1.0 in J
6.648 * [backup-simplify]: Simplify 1.0 into 1.0
6.649 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
6.650 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
6.650 * [taylor]: Taking taylor expansion of (* (pow J 2) (pow (cos (* 0.5 K)) 2)) in J
6.650 * [taylor]: Taking taylor expansion of (pow J 2) in J
6.650 * [taylor]: Taking taylor expansion of J in J
6.650 * [backup-simplify]: Simplify 0 into 0
6.650 * [backup-simplify]: Simplify 1 into 1
6.650 * [taylor]: Taking taylor expansion of (pow (cos (* 0.5 K)) 2) in J
6.650 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in J
6.650 * [taylor]: Taking taylor expansion of (* 0.5 K) in J
6.650 * [taylor]: Taking taylor expansion of 0.5 in J
6.650 * [backup-simplify]: Simplify 0.5 into 0.5
6.650 * [taylor]: Taking taylor expansion of K in J
6.650 * [backup-simplify]: Simplify K into K
6.650 * [backup-simplify]: Simplify (* 0.5 K) into (* 0.5 K)
6.650 * [backup-simplify]: Simplify (cos (* 0.5 K)) into (cos (* 0.5 K))
6.650 * [backup-simplify]: Simplify (sin (* 0.5 K)) into (sin (* 0.5 K))
6.650 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) 1) into (cos (* 0.5 K))
6.650 * [backup-simplify]: Simplify (* (sin (* 0.5 K)) 0) into 0
6.651 * [backup-simplify]: Simplify (- 0) into 0
6.651 * [backup-simplify]: Simplify (+ (cos (* 0.5 K)) 0) into (cos (* 0.5 K))
6.651 * [backup-simplify]: Simplify (* 1 1) into 1
6.652 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) (cos (* 0.5 K))) into (pow (cos (* 0.5 K)) 2)
6.652 * [backup-simplify]: Simplify (* 1 (pow (cos (* 0.5 K)) 2)) into (pow (cos (* 0.5 K)) 2)
6.652 * [backup-simplify]: Simplify (* (sqrt 1.0) (pow (cos (* 0.5 K)) 2)) into (* (sqrt 1.0) (pow (cos (* 0.5 K)) 2))
6.653 * [backup-simplify]: Simplify (/ 0.125 (* (sqrt 1.0) (pow (cos (* 0.5 K)) 2))) into (/ 0.125 (* (sqrt 1.0) (pow (cos (* 0.5 K)) 2)))
6.653 * [backup-simplify]: Simplify (+ 0) into 0
6.654 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (* 0 1)) into 0
6.655 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 K)) into 0
6.655 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.656 * [backup-simplify]: Simplify (+ (* (sin (* 0.5 K)) 0) (* 0 0)) into 0
6.657 * [backup-simplify]: Simplify (- 0) into 0
6.657 * [backup-simplify]: Simplify (+ 0 0) into 0
6.657 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (* 0 (cos (* 0.5 K)))) into 0
6.658 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.658 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (* 0.5 K)) 2))) into 0
6.659 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (pow (cos (* 0.5 K)) 2))) into 0
6.661 * [backup-simplify]: Simplify (- (/ 0 (* (sqrt 1.0) (pow (cos (* 0.5 K)) 2))) (+ (* (/ 0.125 (* (sqrt 1.0) (pow (cos (* 0.5 K)) 2))) (/ 0 (* (sqrt 1.0) (pow (cos (* 0.5 K)) 2)))))) into 0
6.661 * [taylor]: Taking taylor expansion of 0 in K
6.661 * [backup-simplify]: Simplify 0 into 0
6.661 * [backup-simplify]: Simplify 0 into 0
6.661 * [taylor]: Taking taylor expansion of 0 in K
6.661 * [backup-simplify]: Simplify 0 into 0
6.661 * [backup-simplify]: Simplify 0 into 0
6.661 * [taylor]: Taking taylor expansion of 0 in K
6.661 * [backup-simplify]: Simplify 0 into 0
6.662 * [backup-simplify]: Simplify 0 into 0
6.662 * [backup-simplify]: Simplify 0 into 0
6.662 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.663 * [backup-simplify]: Simplify (+ 0) into 0
6.663 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (* 0 1)) into 0
6.664 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 K)) into 0
6.665 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.665 * [backup-simplify]: Simplify (+ (* (sin (* 0.5 K)) 0) (* 0 0)) into 0
6.665 * [backup-simplify]: Simplify (- 0) into 0
6.666 * [backup-simplify]: Simplify (+ 0 0) into 0
6.666 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (* 0 (cos (* 0.5 K)))) into 0
6.666 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.667 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (* 0 (pow (cos (* 0.5 K)) 2))) into 0
6.668 * [backup-simplify]: Simplify (- (/ 0 (* (pow J 2) (pow (cos (* 0.5 K)) 2))) (+ (* (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2))) (/ 0 (* (pow J 2) (pow (cos (* 0.5 K)) 2)))))) into 0
6.668 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2))))) into 0
6.669 * [backup-simplify]: Simplify (+ 0 0) into 0
6.671 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.125 (* (sqrt 1.0) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))))))) (* 2 (sqrt 1.0))) into 0
6.671 * [taylor]: Taking taylor expansion of 0 in J
6.671 * [backup-simplify]: Simplify 0 into 0
6.672 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.672 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (+ (* 0 0) (* 0 1))) into 0
6.673 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 K))) into 0
6.674 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.675 * [backup-simplify]: Simplify (+ (* (sin (* 0.5 K)) 0) (+ (* 0 0) (* 0 0))) into 0
6.675 * [backup-simplify]: Simplify (- 0) into 0
6.675 * [backup-simplify]: Simplify (+ 0 0) into 0
6.676 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (+ (* 0 0) (* 0 (cos (* 0.5 K))))) into 0
6.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.678 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (* 0.5 K)) 2)))) into 0
6.679 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
6.680 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* 0 (pow (cos (* 0.5 K)) 2)))) into 0
6.683 * [backup-simplify]: Simplify (- (/ 0 (* (sqrt 1.0) (pow (cos (* 0.5 K)) 2))) (+ (* (/ 0.125 (* (sqrt 1.0) (pow (cos (* 0.5 K)) 2))) (/ 0 (* (sqrt 1.0) (pow (cos (* 0.5 K)) 2)))) (* 0 (/ 0 (* (sqrt 1.0) (pow (cos (* 0.5 K)) 2)))))) into 0
6.683 * [taylor]: Taking taylor expansion of 0 in K
6.683 * [backup-simplify]: Simplify 0 into 0
6.683 * [backup-simplify]: Simplify 0 into 0
6.683 * [taylor]: Taking taylor expansion of 0 in K
6.683 * [backup-simplify]: Simplify 0 into 0
6.683 * [backup-simplify]: Simplify 0 into 0
6.683 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
6.684 * [backup-simplify]: Simplify (sqrt (+ 1.0 (pow (/ (/ (/ 1 U) 2.0) (* (/ 1 J) (cos (/ (/ 1 K) 2.0)))) 2.0))) into (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0))
6.684 * [approximate]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) in (U J K) around 0
6.684 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) in K
6.684 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0) in K
6.684 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) in K
6.684 * [taylor]: Taking taylor expansion of 0.25 in K
6.684 * [backup-simplify]: Simplify 0.25 into 0.25
6.684 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))) in K
6.684 * [taylor]: Taking taylor expansion of (pow J 2) in K
6.684 * [taylor]: Taking taylor expansion of J in K
6.684 * [backup-simplify]: Simplify J into J
6.684 * [taylor]: Taking taylor expansion of (* (pow (cos (/ 0.5 K)) 2) (pow U 2)) in K
6.684 * [taylor]: Taking taylor expansion of (pow (cos (/ 0.5 K)) 2) in K
6.684 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in K
6.684 * [taylor]: Taking taylor expansion of (/ 0.5 K) in K
6.684 * [taylor]: Taking taylor expansion of 0.5 in K
6.684 * [backup-simplify]: Simplify 0.5 into 0.5
6.684 * [taylor]: Taking taylor expansion of K in K
6.684 * [backup-simplify]: Simplify 0 into 0
6.685 * [backup-simplify]: Simplify 1 into 1
6.685 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5
6.685 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
6.685 * [taylor]: Taking taylor expansion of (pow U 2) in K
6.685 * [taylor]: Taking taylor expansion of U in K
6.685 * [backup-simplify]: Simplify U into U
6.685 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.685 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) (cos (/ 0.5 K))) into (pow (cos (/ 0.5 K)) 2)
6.685 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.686 * [backup-simplify]: Simplify (* (pow (cos (/ 0.5 K)) 2) (pow U 2)) into (* (pow U 2) (pow (cos (/ 0.5 K)) 2))
6.686 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 0.5 K)) 2))) into (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))
6.686 * [taylor]: Taking taylor expansion of 1.0 in K
6.686 * [backup-simplify]: Simplify 1.0 into 1.0
6.687 * [backup-simplify]: Simplify (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) into (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))))
6.687 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0) into (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)
6.688 * [backup-simplify]: Simplify (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) into (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0))
6.688 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.688 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
6.688 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 (cos (/ 0.5 K)))) into 0
6.689 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 0.5 K)) 2) 0) (* 0 (pow U 2))) into 0
6.690 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 0.5 K)) 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))) (/ 0 (* (pow U 2) (pow (cos (/ 0.5 K)) 2)))))) into 0
6.691 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))))) into 0
6.691 * [backup-simplify]: Simplify (+ 0 0) into 0
6.692 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)))) into 0
6.692 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) in J
6.692 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0) in J
6.692 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) in J
6.692 * [taylor]: Taking taylor expansion of 0.25 in J
6.692 * [backup-simplify]: Simplify 0.25 into 0.25
6.692 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))) in J
6.692 * [taylor]: Taking taylor expansion of (pow J 2) in J
6.692 * [taylor]: Taking taylor expansion of J in J
6.692 * [backup-simplify]: Simplify 0 into 0
6.692 * [backup-simplify]: Simplify 1 into 1
6.692 * [taylor]: Taking taylor expansion of (* (pow (cos (/ 0.5 K)) 2) (pow U 2)) in J
6.692 * [taylor]: Taking taylor expansion of (pow (cos (/ 0.5 K)) 2) in J
6.692 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in J
6.693 * [taylor]: Taking taylor expansion of (/ 0.5 K) in J
6.693 * [taylor]: Taking taylor expansion of 0.5 in J
6.693 * [backup-simplify]: Simplify 0.5 into 0.5
6.693 * [taylor]: Taking taylor expansion of K in J
6.693 * [backup-simplify]: Simplify K into K
6.693 * [backup-simplify]: Simplify (/ 0.5 K) into (/ 0.5 K)
6.693 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
6.693 * [backup-simplify]: Simplify (sin (/ 0.5 K)) into (sin (/ 0.5 K))
6.693 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
6.693 * [backup-simplify]: Simplify (* (sin (/ 0.5 K)) 0) into 0
6.694 * [backup-simplify]: Simplify (- 0) into 0
6.694 * [backup-simplify]: Simplify (+ (cos (/ 0.5 K)) 0) into (cos (/ 0.5 K))
6.694 * [taylor]: Taking taylor expansion of (pow U 2) in J
6.694 * [taylor]: Taking taylor expansion of U in J
6.694 * [backup-simplify]: Simplify U into U
6.694 * [backup-simplify]: Simplify (* 1 1) into 1
6.694 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) (cos (/ 0.5 K))) into (pow (cos (/ 0.5 K)) 2)
6.695 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.695 * [backup-simplify]: Simplify (* (pow (cos (/ 0.5 K)) 2) (pow U 2)) into (* (pow U 2) (pow (cos (/ 0.5 K)) 2))
6.695 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 0.5 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 0.5 K)) 2)))
6.695 * [taylor]: Taking taylor expansion of 1.0 in J
6.695 * [backup-simplify]: Simplify 1.0 into 1.0
6.696 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
6.696 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
6.697 * [backup-simplify]: Simplify (+ 0 0) into 0
6.697 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
6.697 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) in U
6.697 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0) in U
6.697 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) in U
6.698 * [taylor]: Taking taylor expansion of 0.25 in U
6.698 * [backup-simplify]: Simplify 0.25 into 0.25
6.698 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))) in U
6.698 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.698 * [taylor]: Taking taylor expansion of J in U
6.698 * [backup-simplify]: Simplify J into J
6.698 * [taylor]: Taking taylor expansion of (* (pow (cos (/ 0.5 K)) 2) (pow U 2)) in U
6.698 * [taylor]: Taking taylor expansion of (pow (cos (/ 0.5 K)) 2) in U
6.698 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in U
6.698 * [taylor]: Taking taylor expansion of (/ 0.5 K) in U
6.698 * [taylor]: Taking taylor expansion of 0.5 in U
6.698 * [backup-simplify]: Simplify 0.5 into 0.5
6.698 * [taylor]: Taking taylor expansion of K in U
6.698 * [backup-simplify]: Simplify K into K
6.698 * [backup-simplify]: Simplify (/ 0.5 K) into (/ 0.5 K)
6.698 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
6.698 * [backup-simplify]: Simplify (sin (/ 0.5 K)) into (sin (/ 0.5 K))
6.698 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
6.698 * [backup-simplify]: Simplify (* (sin (/ 0.5 K)) 0) into 0
6.699 * [backup-simplify]: Simplify (- 0) into 0
6.699 * [backup-simplify]: Simplify (+ (cos (/ 0.5 K)) 0) into (cos (/ 0.5 K))
6.699 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.699 * [taylor]: Taking taylor expansion of U in U
6.699 * [backup-simplify]: Simplify 0 into 0
6.699 * [backup-simplify]: Simplify 1 into 1
6.699 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.699 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) (cos (/ 0.5 K))) into (pow (cos (/ 0.5 K)) 2)
6.700 * [backup-simplify]: Simplify (* 1 1) into 1
6.700 * [backup-simplify]: Simplify (* (pow (cos (/ 0.5 K)) 2) 1) into (pow (cos (/ 0.5 K)) 2)
6.700 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)) into (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))
6.700 * [taylor]: Taking taylor expansion of 1.0 in U
6.700 * [backup-simplify]: Simplify 1.0 into 1.0
6.701 * [backup-simplify]: Simplify (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))) into (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))
6.701 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))) 0) into (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))
6.702 * [backup-simplify]: Simplify (sqrt (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) into (/ (* (sqrt 0.25) J) (cos (/ 0.5 K)))
6.702 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.703 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.703 * [backup-simplify]: Simplify (+ 0) into 0
6.704 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 1)) into 0
6.704 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)))) into 0
6.705 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.705 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (* 0 0)) into 0
6.706 * [backup-simplify]: Simplify (- 0) into 0
6.706 * [backup-simplify]: Simplify (+ 0 0) into 0
6.706 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 (cos (/ 0.5 K)))) into 0
6.707 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 0.5 K)) 2) 0) (* 0 1)) into 0
6.708 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 0.5 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)) (/ 0 (pow (cos (/ 0.5 K)) 2))))) into 0
6.709 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) into 0
6.709 * [backup-simplify]: Simplify (+ 0 0) into 0
6.710 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))))) into 0
6.710 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) in U
6.710 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0) in U
6.710 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) in U
6.710 * [taylor]: Taking taylor expansion of 0.25 in U
6.710 * [backup-simplify]: Simplify 0.25 into 0.25
6.710 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))) in U
6.710 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.710 * [taylor]: Taking taylor expansion of J in U
6.710 * [backup-simplify]: Simplify J into J
6.710 * [taylor]: Taking taylor expansion of (* (pow (cos (/ 0.5 K)) 2) (pow U 2)) in U
6.710 * [taylor]: Taking taylor expansion of (pow (cos (/ 0.5 K)) 2) in U
6.710 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in U
6.710 * [taylor]: Taking taylor expansion of (/ 0.5 K) in U
6.710 * [taylor]: Taking taylor expansion of 0.5 in U
6.710 * [backup-simplify]: Simplify 0.5 into 0.5
6.710 * [taylor]: Taking taylor expansion of K in U
6.710 * [backup-simplify]: Simplify K into K
6.710 * [backup-simplify]: Simplify (/ 0.5 K) into (/ 0.5 K)
6.710 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
6.710 * [backup-simplify]: Simplify (sin (/ 0.5 K)) into (sin (/ 0.5 K))
6.711 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
6.711 * [backup-simplify]: Simplify (* (sin (/ 0.5 K)) 0) into 0
6.711 * [backup-simplify]: Simplify (- 0) into 0
6.712 * [backup-simplify]: Simplify (+ (cos (/ 0.5 K)) 0) into (cos (/ 0.5 K))
6.712 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.712 * [taylor]: Taking taylor expansion of U in U
6.712 * [backup-simplify]: Simplify 0 into 0
6.712 * [backup-simplify]: Simplify 1 into 1
6.712 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.712 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) (cos (/ 0.5 K))) into (pow (cos (/ 0.5 K)) 2)
6.712 * [backup-simplify]: Simplify (* 1 1) into 1
6.713 * [backup-simplify]: Simplify (* (pow (cos (/ 0.5 K)) 2) 1) into (pow (cos (/ 0.5 K)) 2)
6.713 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)) into (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))
6.713 * [taylor]: Taking taylor expansion of 1.0 in U
6.713 * [backup-simplify]: Simplify 1.0 into 1.0
6.713 * [backup-simplify]: Simplify (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))) into (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))
6.714 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))) 0) into (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))
6.714 * [backup-simplify]: Simplify (sqrt (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) into (/ (* (sqrt 0.25) J) (cos (/ 0.5 K)))
6.714 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.715 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.715 * [backup-simplify]: Simplify (+ 0) into 0
6.716 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 1)) into 0
6.717 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)))) into 0
6.717 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.718 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (* 0 0)) into 0
6.718 * [backup-simplify]: Simplify (- 0) into 0
6.719 * [backup-simplify]: Simplify (+ 0 0) into 0
6.719 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 (cos (/ 0.5 K)))) into 0
6.720 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 0.5 K)) 2) 0) (* 0 1)) into 0
6.720 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 0.5 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)) (/ 0 (pow (cos (/ 0.5 K)) 2))))) into 0
6.721 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) into 0
6.722 * [backup-simplify]: Simplify (+ 0 0) into 0
6.722 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))))) into 0
6.722 * [taylor]: Taking taylor expansion of (/ (* (sqrt 0.25) J) (cos (/ 0.5 K))) in J
6.722 * [taylor]: Taking taylor expansion of (* (sqrt 0.25) J) in J
6.722 * [taylor]: Taking taylor expansion of (sqrt 0.25) in J
6.722 * [taylor]: Taking taylor expansion of 0.25 in J
6.722 * [backup-simplify]: Simplify 0.25 into 0.25
6.723 * [backup-simplify]: Simplify (sqrt 0.25) into (sqrt 0.25)
6.723 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.25))) into 0
6.723 * [taylor]: Taking taylor expansion of J in J
6.723 * [backup-simplify]: Simplify 0 into 0
6.724 * [backup-simplify]: Simplify 1 into 1
6.724 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in J
6.724 * [taylor]: Taking taylor expansion of (/ 0.5 K) in J
6.724 * [taylor]: Taking taylor expansion of 0.5 in J
6.724 * [backup-simplify]: Simplify 0.5 into 0.5
6.724 * [taylor]: Taking taylor expansion of K in J
6.724 * [backup-simplify]: Simplify K into K
6.724 * [backup-simplify]: Simplify (/ 0.5 K) into (/ 0.5 K)
6.724 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
6.724 * [backup-simplify]: Simplify (sin (/ 0.5 K)) into (sin (/ 0.5 K))
6.724 * [backup-simplify]: Simplify (* (sqrt 0.25) 0) into 0
6.726 * [backup-simplify]: Simplify (+ (* (sqrt 0.25) 1) (* 0 0)) into (sqrt 0.25)
6.727 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
6.727 * [backup-simplify]: Simplify (* (sin (/ 0.5 K)) 0) into 0
6.727 * [backup-simplify]: Simplify (- 0) into 0
6.727 * [backup-simplify]: Simplify (+ (cos (/ 0.5 K)) 0) into (cos (/ 0.5 K))
6.728 * [backup-simplify]: Simplify (/ (sqrt 0.25) (cos (/ 0.5 K))) into (/ (sqrt 0.25) (cos (/ 0.5 K)))
6.728 * [taylor]: Taking taylor expansion of 0 in J
6.728 * [backup-simplify]: Simplify 0 into 0
6.728 * [taylor]: Taking taylor expansion of 0 in K
6.728 * [backup-simplify]: Simplify 0 into 0
6.728 * [backup-simplify]: Simplify 0 into 0
6.728 * [taylor]: Taking taylor expansion of (/ (sqrt 0.25) (cos (/ 0.5 K))) in K
6.728 * [taylor]: Taking taylor expansion of (sqrt 0.25) in K
6.728 * [taylor]: Taking taylor expansion of 0.25 in K
6.728 * [backup-simplify]: Simplify 0.25 into 0.25
6.728 * [backup-simplify]: Simplify (sqrt 0.25) into (sqrt 0.25)
6.729 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.25))) into 0
6.729 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in K
6.729 * [taylor]: Taking taylor expansion of (/ 0.5 K) in K
6.729 * [taylor]: Taking taylor expansion of 0.5 in K
6.729 * [backup-simplify]: Simplify 0.5 into 0.5
6.729 * [taylor]: Taking taylor expansion of K in K
6.729 * [backup-simplify]: Simplify 0 into 0
6.729 * [backup-simplify]: Simplify 1 into 1
6.730 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5
6.730 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
6.730 * [backup-simplify]: Simplify (/ (sqrt 0.25) (cos (/ 0.5 K))) into (/ (sqrt 0.25) (cos (/ 0.5 K)))
6.731 * [backup-simplify]: Simplify (/ (sqrt 0.25) (cos (/ 0.5 K))) into (/ (sqrt 0.25) (cos (/ 0.5 K)))
6.731 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
6.732 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.733 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.734 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (+ (* 0 0) (* 0 1))) into 0
6.734 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
6.735 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.736 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (+ (* 0 0) (* 0 0))) into 0
6.736 * [backup-simplify]: Simplify (- 0) into 0
6.737 * [backup-simplify]: Simplify (+ 0 0) into 0
6.737 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (+ (* 0 0) (* 0 (cos (/ 0.5 K))))) into 0
6.738 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 0.5 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
6.739 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 0.5 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)) (/ 0 (pow (cos (/ 0.5 K)) 2))) (* 0 (/ 0 (pow (cos (/ 0.5 K)) 2))))) into 0
6.740 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))))) into 0
6.741 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
6.743 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (/ (* (sqrt 0.25) J) (cos (/ 0.5 K))))) into (* 0.5 (/ (cos (/ 0.5 K)) (* (sqrt 0.25) J)))
6.743 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 0.5 K)) (* (sqrt 0.25) J))) in J
6.743 * [taylor]: Taking taylor expansion of 0.5 in J
6.743 * [backup-simplify]: Simplify 0.5 into 0.5
6.743 * [taylor]: Taking taylor expansion of (/ (cos (/ 0.5 K)) (* (sqrt 0.25) J)) in J
6.743 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in J
6.743 * [taylor]: Taking taylor expansion of (/ 0.5 K) in J
6.743 * [taylor]: Taking taylor expansion of 0.5 in J
6.743 * [backup-simplify]: Simplify 0.5 into 0.5
6.743 * [taylor]: Taking taylor expansion of K in J
6.743 * [backup-simplify]: Simplify K into K
6.743 * [backup-simplify]: Simplify (/ 0.5 K) into (/ 0.5 K)
6.743 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
6.743 * [backup-simplify]: Simplify (sin (/ 0.5 K)) into (sin (/ 0.5 K))
6.743 * [taylor]: Taking taylor expansion of (* (sqrt 0.25) J) in J
6.743 * [taylor]: Taking taylor expansion of (sqrt 0.25) in J
6.743 * [taylor]: Taking taylor expansion of 0.25 in J
6.743 * [backup-simplify]: Simplify 0.25 into 0.25
6.744 * [backup-simplify]: Simplify (sqrt 0.25) into (sqrt 0.25)
6.744 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.25))) into 0
6.744 * [taylor]: Taking taylor expansion of J in J
6.745 * [backup-simplify]: Simplify 0 into 0
6.745 * [backup-simplify]: Simplify 1 into 1
6.745 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
6.745 * [backup-simplify]: Simplify (* (sin (/ 0.5 K)) 0) into 0
6.745 * [backup-simplify]: Simplify (- 0) into 0
6.745 * [backup-simplify]: Simplify (+ (cos (/ 0.5 K)) 0) into (cos (/ 0.5 K))
6.746 * [backup-simplify]: Simplify (* (sqrt 0.25) 0) into 0
6.748 * [backup-simplify]: Simplify (+ (* (sqrt 0.25) 1) (* 0 0)) into (sqrt 0.25)
6.748 * [backup-simplify]: Simplify (/ (cos (/ 0.5 K)) (sqrt 0.25)) into (/ (cos (/ 0.5 K)) (sqrt 0.25))
6.749 * [backup-simplify]: Simplify (+ 0) into 0
6.749 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 1)) into 0
6.749 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)))) into 0
6.750 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.751 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (* 0 0)) into 0
6.751 * [backup-simplify]: Simplify (- 0) into 0
6.751 * [backup-simplify]: Simplify (+ 0 0) into 0
6.753 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.25))) into 0
6.754 * [backup-simplify]: Simplify (+ (* (sqrt 0.25) 0) (+ (* 0 1) (* 0 0))) into 0
6.755 * [backup-simplify]: Simplify (- (/ 0 (sqrt 0.25)) (+ (* (/ (cos (/ 0.5 K)) (sqrt 0.25)) (/ 0 (sqrt 0.25))))) into 0
6.756 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ (cos (/ 0.5 K)) (sqrt 0.25)))) into 0
6.756 * [taylor]: Taking taylor expansion of 0 in K
6.756 * [backup-simplify]: Simplify 0 into 0
6.756 * [backup-simplify]: Simplify 0 into 0
6.756 * [taylor]: Taking taylor expansion of 0 in K
6.756 * [backup-simplify]: Simplify 0 into 0
6.756 * [backup-simplify]: Simplify 0 into 0
6.758 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.25))) into 0
6.759 * [backup-simplify]: Simplify (+ (* (sqrt 0.25) 0) (+ (* 0 1) (* 0 0))) into 0
6.759 * [backup-simplify]: Simplify (+ 0) into 0
6.760 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 1)) into 0
6.760 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)))) into 0
6.761 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.761 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (* 0 0)) into 0
6.761 * [backup-simplify]: Simplify (- 0) into 0
6.762 * [backup-simplify]: Simplify (+ 0 0) into 0
6.763 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 0.5 K))) (+ (* (/ (sqrt 0.25) (cos (/ 0.5 K))) (/ 0 (cos (/ 0.5 K)))))) into 0
6.763 * [taylor]: Taking taylor expansion of 0 in K
6.763 * [backup-simplify]: Simplify 0 into 0
6.763 * [backup-simplify]: Simplify 0 into 0
6.763 * [backup-simplify]: Simplify 0 into 0
6.763 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 0.5 K))) (+ (* (/ (sqrt 0.25) (cos (/ 0.5 K))) (/ 0 (cos (/ 0.5 K)))))) into 0
6.763 * [backup-simplify]: Simplify 0 into 0
6.764 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
6.765 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.766 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
6.767 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.768 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
6.769 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
6.770 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
6.770 * [backup-simplify]: Simplify (- 0) into 0
6.771 * [backup-simplify]: Simplify (+ 0 0) into 0
6.771 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 0.5 K)))))) into 0
6.772 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 0.5 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.774 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 0.5 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)) (/ 0 (pow (cos (/ 0.5 K)) 2))) (* 0 (/ 0 (pow (cos (/ 0.5 K)) 2))) (* 0 (/ 0 (pow (cos (/ 0.5 K)) 2))))) into 0
6.775 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))))) into 0
6.775 * [backup-simplify]: Simplify (+ 0 0) into 0
6.777 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 0.5 (/ (cos (/ 0.5 K)) (* (sqrt 0.25) J))))))) (* 2 (/ (* (sqrt 0.25) J) (cos (/ 0.5 K))))) into 0
6.777 * [taylor]: Taking taylor expansion of 0 in J
6.777 * [backup-simplify]: Simplify 0 into 0
6.777 * [taylor]: Taking taylor expansion of 0 in K
6.777 * [backup-simplify]: Simplify 0 into 0
6.777 * [backup-simplify]: Simplify 0 into 0
6.778 * [backup-simplify]: Simplify (* (/ (sqrt 0.25) (cos (/ 0.5 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (/ (* (sqrt 0.25) U) (* (cos (* 0.5 K)) J))
6.778 * [backup-simplify]: Simplify (sqrt (+ 1.0 (pow (/ (/ (/ 1 (- U)) 2.0) (* (/ 1 (- J)) (cos (/ (/ 1 (- K)) 2.0)))) 2.0))) into (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0))
6.778 * [approximate]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)) in (U J K) around 0
6.779 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)) in K
6.779 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0) in K
6.779 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) in K
6.779 * [taylor]: Taking taylor expansion of 0.25 in K
6.779 * [backup-simplify]: Simplify 0.25 into 0.25
6.779 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) in K
6.779 * [taylor]: Taking taylor expansion of (pow J 2) in K
6.779 * [taylor]: Taking taylor expansion of J in K
6.779 * [backup-simplify]: Simplify J into J
6.779 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -0.5 K)) 2) (pow U 2)) in K
6.779 * [taylor]: Taking taylor expansion of (pow (cos (/ -0.5 K)) 2) in K
6.779 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in K
6.779 * [taylor]: Taking taylor expansion of (/ -0.5 K) in K
6.779 * [taylor]: Taking taylor expansion of -0.5 in K
6.779 * [backup-simplify]: Simplify -0.5 into -0.5
6.779 * [taylor]: Taking taylor expansion of K in K
6.779 * [backup-simplify]: Simplify 0 into 0
6.779 * [backup-simplify]: Simplify 1 into 1
6.781 * [backup-simplify]: Simplify (/ -0.5 1) into -0.5
6.782 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
6.782 * [taylor]: Taking taylor expansion of (pow U 2) in K
6.782 * [taylor]: Taking taylor expansion of U in K
6.782 * [backup-simplify]: Simplify U into U
6.782 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.782 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) (cos (/ -0.5 K))) into (pow (cos (/ -0.5 K)) 2)
6.782 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.782 * [backup-simplify]: Simplify (* (pow (cos (/ -0.5 K)) 2) (pow U 2)) into (* (pow (cos (/ -0.5 K)) 2) (pow U 2))
6.783 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))
6.783 * [taylor]: Taking taylor expansion of 1.0 in K
6.783 * [backup-simplify]: Simplify 1.0 into 1.0
6.783 * [backup-simplify]: Simplify (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) into (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))))
6.784 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0) into (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)
6.785 * [backup-simplify]: Simplify (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)) into (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0))
6.785 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.785 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
6.785 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 (cos (/ -0.5 K)))) into 0
6.785 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -0.5 K)) 2) 0) (* 0 (pow U 2))) into 0
6.786 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))))) into 0
6.788 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))))) into 0
6.788 * [backup-simplify]: Simplify (+ 0 0) into 0
6.789 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)))) into 0
6.789 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)) in J
6.789 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0) in J
6.789 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) in J
6.789 * [taylor]: Taking taylor expansion of 0.25 in J
6.789 * [backup-simplify]: Simplify 0.25 into 0.25
6.789 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) in J
6.789 * [taylor]: Taking taylor expansion of (pow J 2) in J
6.789 * [taylor]: Taking taylor expansion of J in J
6.789 * [backup-simplify]: Simplify 0 into 0
6.789 * [backup-simplify]: Simplify 1 into 1
6.789 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -0.5 K)) 2) (pow U 2)) in J
6.789 * [taylor]: Taking taylor expansion of (pow (cos (/ -0.5 K)) 2) in J
6.789 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in J
6.789 * [taylor]: Taking taylor expansion of (/ -0.5 K) in J
6.789 * [taylor]: Taking taylor expansion of -0.5 in J
6.789 * [backup-simplify]: Simplify -0.5 into -0.5
6.789 * [taylor]: Taking taylor expansion of K in J
6.790 * [backup-simplify]: Simplify K into K
6.790 * [backup-simplify]: Simplify (/ -0.5 K) into (/ -0.5 K)
6.790 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
6.790 * [backup-simplify]: Simplify (sin (/ -0.5 K)) into (sin (/ -0.5 K))
6.790 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
6.790 * [backup-simplify]: Simplify (* (sin (/ -0.5 K)) 0) into 0
6.790 * [backup-simplify]: Simplify (- 0) into 0
6.791 * [backup-simplify]: Simplify (+ (cos (/ -0.5 K)) 0) into (cos (/ -0.5 K))
6.791 * [taylor]: Taking taylor expansion of (pow U 2) in J
6.791 * [taylor]: Taking taylor expansion of U in J
6.791 * [backup-simplify]: Simplify U into U
6.791 * [backup-simplify]: Simplify (* 1 1) into 1
6.791 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) (cos (/ -0.5 K))) into (pow (cos (/ -0.5 K)) 2)
6.791 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.792 * [backup-simplify]: Simplify (* (pow (cos (/ -0.5 K)) 2) (pow U 2)) into (* (pow (cos (/ -0.5 K)) 2) (pow U 2))
6.792 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))
6.792 * [taylor]: Taking taylor expansion of 1.0 in J
6.792 * [backup-simplify]: Simplify 1.0 into 1.0
6.793 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
6.793 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
6.793 * [backup-simplify]: Simplify (+ 0 0) into 0
6.794 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
6.795 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)) in U
6.795 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0) in U
6.795 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) in U
6.795 * [taylor]: Taking taylor expansion of 0.25 in U
6.795 * [backup-simplify]: Simplify 0.25 into 0.25
6.795 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) in U
6.795 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.795 * [taylor]: Taking taylor expansion of J in U
6.795 * [backup-simplify]: Simplify J into J
6.795 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -0.5 K)) 2) (pow U 2)) in U
6.795 * [taylor]: Taking taylor expansion of (pow (cos (/ -0.5 K)) 2) in U
6.795 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in U
6.795 * [taylor]: Taking taylor expansion of (/ -0.5 K) in U
6.795 * [taylor]: Taking taylor expansion of -0.5 in U
6.795 * [backup-simplify]: Simplify -0.5 into -0.5
6.795 * [taylor]: Taking taylor expansion of K in U
6.795 * [backup-simplify]: Simplify K into K
6.795 * [backup-simplify]: Simplify (/ -0.5 K) into (/ -0.5 K)
6.795 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
6.795 * [backup-simplify]: Simplify (sin (/ -0.5 K)) into (sin (/ -0.5 K))
6.795 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
6.796 * [backup-simplify]: Simplify (* (sin (/ -0.5 K)) 0) into 0
6.796 * [backup-simplify]: Simplify (- 0) into 0
6.796 * [backup-simplify]: Simplify (+ (cos (/ -0.5 K)) 0) into (cos (/ -0.5 K))
6.796 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.796 * [taylor]: Taking taylor expansion of U in U
6.796 * [backup-simplify]: Simplify 0 into 0
6.796 * [backup-simplify]: Simplify 1 into 1
6.796 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.796 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) (cos (/ -0.5 K))) into (pow (cos (/ -0.5 K)) 2)
6.797 * [backup-simplify]: Simplify (* 1 1) into 1
6.797 * [backup-simplify]: Simplify (* (pow (cos (/ -0.5 K)) 2) 1) into (pow (cos (/ -0.5 K)) 2)
6.797 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)) into (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))
6.797 * [taylor]: Taking taylor expansion of 1.0 in U
6.797 * [backup-simplify]: Simplify 1.0 into 1.0
6.798 * [backup-simplify]: Simplify (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))) into (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))
6.798 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))) 0) into (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))
6.799 * [backup-simplify]: Simplify (sqrt (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) into (/ (* (sqrt 0.25) J) (cos (/ -0.5 K)))
6.799 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.799 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.800 * [backup-simplify]: Simplify (+ 0) into 0
6.800 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 1)) into 0
6.800 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)))) into 0
6.801 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.802 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (* 0 0)) into 0
6.802 * [backup-simplify]: Simplify (- 0) into 0
6.802 * [backup-simplify]: Simplify (+ 0 0) into 0
6.803 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 (cos (/ -0.5 K)))) into 0
6.803 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -0.5 K)) 2) 0) (* 0 1)) into 0
6.804 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -0.5 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)) (/ 0 (pow (cos (/ -0.5 K)) 2))))) into 0
6.805 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) into 0
6.805 * [backup-simplify]: Simplify (+ 0 0) into 0
6.806 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))))) into 0
6.806 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)) in U
6.806 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0) in U
6.806 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) in U
6.806 * [taylor]: Taking taylor expansion of 0.25 in U
6.806 * [backup-simplify]: Simplify 0.25 into 0.25
6.806 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) in U
6.806 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.806 * [taylor]: Taking taylor expansion of J in U
6.806 * [backup-simplify]: Simplify J into J
6.806 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -0.5 K)) 2) (pow U 2)) in U
6.806 * [taylor]: Taking taylor expansion of (pow (cos (/ -0.5 K)) 2) in U
6.806 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in U
6.806 * [taylor]: Taking taylor expansion of (/ -0.5 K) in U
6.806 * [taylor]: Taking taylor expansion of -0.5 in U
6.806 * [backup-simplify]: Simplify -0.5 into -0.5
6.806 * [taylor]: Taking taylor expansion of K in U
6.806 * [backup-simplify]: Simplify K into K
6.806 * [backup-simplify]: Simplify (/ -0.5 K) into (/ -0.5 K)
6.806 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
6.806 * [backup-simplify]: Simplify (sin (/ -0.5 K)) into (sin (/ -0.5 K))
6.806 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
6.807 * [backup-simplify]: Simplify (* (sin (/ -0.5 K)) 0) into 0
6.807 * [backup-simplify]: Simplify (- 0) into 0
6.807 * [backup-simplify]: Simplify (+ (cos (/ -0.5 K)) 0) into (cos (/ -0.5 K))
6.807 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.807 * [taylor]: Taking taylor expansion of U in U
6.807 * [backup-simplify]: Simplify 0 into 0
6.807 * [backup-simplify]: Simplify 1 into 1
6.807 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.807 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) (cos (/ -0.5 K))) into (pow (cos (/ -0.5 K)) 2)
6.808 * [backup-simplify]: Simplify (* 1 1) into 1
6.808 * [backup-simplify]: Simplify (* (pow (cos (/ -0.5 K)) 2) 1) into (pow (cos (/ -0.5 K)) 2)
6.808 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)) into (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))
6.808 * [taylor]: Taking taylor expansion of 1.0 in U
6.808 * [backup-simplify]: Simplify 1.0 into 1.0
6.808 * [backup-simplify]: Simplify (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))) into (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))
6.809 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))) 0) into (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))
6.809 * [backup-simplify]: Simplify (sqrt (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) into (/ (* (sqrt 0.25) J) (cos (/ -0.5 K)))
6.809 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.809 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.810 * [backup-simplify]: Simplify (+ 0) into 0
6.810 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 1)) into 0
6.810 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)))) into 0
6.810 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.811 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (* 0 0)) into 0
6.811 * [backup-simplify]: Simplify (- 0) into 0
6.811 * [backup-simplify]: Simplify (+ 0 0) into 0
6.811 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 (cos (/ -0.5 K)))) into 0
6.812 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -0.5 K)) 2) 0) (* 0 1)) into 0
6.812 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -0.5 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)) (/ 0 (pow (cos (/ -0.5 K)) 2))))) into 0
6.813 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) into 0
6.813 * [backup-simplify]: Simplify (+ 0 0) into 0
6.813 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))))) into 0
6.813 * [taylor]: Taking taylor expansion of (/ (* (sqrt 0.25) J) (cos (/ -0.5 K))) in J
6.813 * [taylor]: Taking taylor expansion of (* (sqrt 0.25) J) in J
6.813 * [taylor]: Taking taylor expansion of (sqrt 0.25) in J
6.813 * [taylor]: Taking taylor expansion of 0.25 in J
6.813 * [backup-simplify]: Simplify 0.25 into 0.25
6.814 * [backup-simplify]: Simplify (sqrt 0.25) into (sqrt 0.25)
6.814 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.25))) into 0
6.814 * [taylor]: Taking taylor expansion of J in J
6.814 * [backup-simplify]: Simplify 0 into 0
6.814 * [backup-simplify]: Simplify 1 into 1
6.814 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in J
6.814 * [taylor]: Taking taylor expansion of (/ -0.5 K) in J
6.814 * [taylor]: Taking taylor expansion of -0.5 in J
6.814 * [backup-simplify]: Simplify -0.5 into -0.5
6.814 * [taylor]: Taking taylor expansion of K in J
6.814 * [backup-simplify]: Simplify K into K
6.814 * [backup-simplify]: Simplify (/ -0.5 K) into (/ -0.5 K)
6.814 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
6.814 * [backup-simplify]: Simplify (sin (/ -0.5 K)) into (sin (/ -0.5 K))
6.815 * [backup-simplify]: Simplify (* (sqrt 0.25) 0) into 0
6.816 * [backup-simplify]: Simplify (+ (* (sqrt 0.25) 1) (* 0 0)) into (sqrt 0.25)
6.816 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
6.816 * [backup-simplify]: Simplify (* (sin (/ -0.5 K)) 0) into 0
6.816 * [backup-simplify]: Simplify (- 0) into 0
6.816 * [backup-simplify]: Simplify (+ (cos (/ -0.5 K)) 0) into (cos (/ -0.5 K))
6.817 * [backup-simplify]: Simplify (/ (sqrt 0.25) (cos (/ -0.5 K))) into (/ (sqrt 0.25) (cos (/ -0.5 K)))
6.817 * [taylor]: Taking taylor expansion of 0 in J
6.817 * [backup-simplify]: Simplify 0 into 0
6.817 * [taylor]: Taking taylor expansion of 0 in K
6.817 * [backup-simplify]: Simplify 0 into 0
6.817 * [backup-simplify]: Simplify 0 into 0
6.817 * [taylor]: Taking taylor expansion of (/ (sqrt 0.25) (cos (/ -0.5 K))) in K
6.817 * [taylor]: Taking taylor expansion of (sqrt 0.25) in K
6.817 * [taylor]: Taking taylor expansion of 0.25 in K
6.817 * [backup-simplify]: Simplify 0.25 into 0.25
6.817 * [backup-simplify]: Simplify (sqrt 0.25) into (sqrt 0.25)
6.817 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.25))) into 0
6.818 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in K
6.818 * [taylor]: Taking taylor expansion of (/ -0.5 K) in K
6.818 * [taylor]: Taking taylor expansion of -0.5 in K
6.818 * [backup-simplify]: Simplify -0.5 into -0.5
6.818 * [taylor]: Taking taylor expansion of K in K
6.818 * [backup-simplify]: Simplify 0 into 0
6.818 * [backup-simplify]: Simplify 1 into 1
6.818 * [backup-simplify]: Simplify (/ -0.5 1) into -0.5
6.818 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
6.818 * [backup-simplify]: Simplify (/ (sqrt 0.25) (cos (/ -0.5 K))) into (/ (sqrt 0.25) (cos (/ -0.5 K)))
6.819 * [backup-simplify]: Simplify (/ (sqrt 0.25) (cos (/ -0.5 K))) into (/ (sqrt 0.25) (cos (/ -0.5 K)))
6.819 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
6.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.820 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.820 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (+ (* 0 0) (* 0 1))) into 0
6.821 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
6.821 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.821 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (+ (* 0 0) (* 0 0))) into 0
6.822 * [backup-simplify]: Simplify (- 0) into 0
6.822 * [backup-simplify]: Simplify (+ 0 0) into 0
6.822 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (+ (* 0 0) (* 0 (cos (/ -0.5 K))))) into 0
6.823 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -0.5 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
6.823 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -0.5 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)) (/ 0 (pow (cos (/ -0.5 K)) 2))) (* 0 (/ 0 (pow (cos (/ -0.5 K)) 2))))) into 0
6.824 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))))) into 0
6.824 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
6.826 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (/ (* (sqrt 0.25) J) (cos (/ -0.5 K))))) into (* 0.5 (/ (cos (/ -0.5 K)) (* (sqrt 0.25) J)))
6.826 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -0.5 K)) (* (sqrt 0.25) J))) in J
6.826 * [taylor]: Taking taylor expansion of 0.5 in J
6.826 * [backup-simplify]: Simplify 0.5 into 0.5
6.826 * [taylor]: Taking taylor expansion of (/ (cos (/ -0.5 K)) (* (sqrt 0.25) J)) in J
6.826 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in J
6.826 * [taylor]: Taking taylor expansion of (/ -0.5 K) in J
6.826 * [taylor]: Taking taylor expansion of -0.5 in J
6.826 * [backup-simplify]: Simplify -0.5 into -0.5
6.826 * [taylor]: Taking taylor expansion of K in J
6.826 * [backup-simplify]: Simplify K into K
6.826 * [backup-simplify]: Simplify (/ -0.5 K) into (/ -0.5 K)
6.826 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
6.826 * [backup-simplify]: Simplify (sin (/ -0.5 K)) into (sin (/ -0.5 K))
6.826 * [taylor]: Taking taylor expansion of (* (sqrt 0.25) J) in J
6.826 * [taylor]: Taking taylor expansion of (sqrt 0.25) in J
6.826 * [taylor]: Taking taylor expansion of 0.25 in J
6.826 * [backup-simplify]: Simplify 0.25 into 0.25
6.826 * [backup-simplify]: Simplify (sqrt 0.25) into (sqrt 0.25)
6.827 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.25))) into 0
6.827 * [taylor]: Taking taylor expansion of J in J
6.827 * [backup-simplify]: Simplify 0 into 0
6.827 * [backup-simplify]: Simplify 1 into 1
6.827 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
6.827 * [backup-simplify]: Simplify (* (sin (/ -0.5 K)) 0) into 0
6.827 * [backup-simplify]: Simplify (- 0) into 0
6.827 * [backup-simplify]: Simplify (+ (cos (/ -0.5 K)) 0) into (cos (/ -0.5 K))
6.828 * [backup-simplify]: Simplify (* (sqrt 0.25) 0) into 0
6.829 * [backup-simplify]: Simplify (+ (* (sqrt 0.25) 1) (* 0 0)) into (sqrt 0.25)
6.829 * [backup-simplify]: Simplify (/ (cos (/ -0.5 K)) (sqrt 0.25)) into (/ (cos (/ -0.5 K)) (sqrt 0.25))
6.830 * [backup-simplify]: Simplify (+ 0) into 0
6.830 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 1)) into 0
6.830 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)))) into 0
6.830 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.831 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (* 0 0)) into 0
6.831 * [backup-simplify]: Simplify (- 0) into 0
6.831 * [backup-simplify]: Simplify (+ 0 0) into 0
6.832 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.25))) into 0
6.833 * [backup-simplify]: Simplify (+ (* (sqrt 0.25) 0) (+ (* 0 1) (* 0 0))) into 0
6.834 * [backup-simplify]: Simplify (- (/ 0 (sqrt 0.25)) (+ (* (/ (cos (/ -0.5 K)) (sqrt 0.25)) (/ 0 (sqrt 0.25))))) into 0
6.834 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ (cos (/ -0.5 K)) (sqrt 0.25)))) into 0
6.834 * [taylor]: Taking taylor expansion of 0 in K
6.834 * [backup-simplify]: Simplify 0 into 0
6.834 * [backup-simplify]: Simplify 0 into 0
6.834 * [taylor]: Taking taylor expansion of 0 in K
6.834 * [backup-simplify]: Simplify 0 into 0
6.834 * [backup-simplify]: Simplify 0 into 0
6.835 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.25))) into 0
6.836 * [backup-simplify]: Simplify (+ (* (sqrt 0.25) 0) (+ (* 0 1) (* 0 0))) into 0
6.836 * [backup-simplify]: Simplify (+ 0) into 0
6.836 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 1)) into 0
6.836 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)))) into 0
6.837 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.837 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (* 0 0)) into 0
6.837 * [backup-simplify]: Simplify (- 0) into 0
6.838 * [backup-simplify]: Simplify (+ 0 0) into 0
6.838 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -0.5 K))) (+ (* (/ (sqrt 0.25) (cos (/ -0.5 K))) (/ 0 (cos (/ -0.5 K)))))) into 0
6.838 * [taylor]: Taking taylor expansion of 0 in K
6.838 * [backup-simplify]: Simplify 0 into 0
6.838 * [backup-simplify]: Simplify 0 into 0
6.838 * [backup-simplify]: Simplify 0 into 0
6.839 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -0.5 K))) (+ (* (/ (sqrt 0.25) (cos (/ -0.5 K))) (/ 0 (cos (/ -0.5 K)))))) into 0
6.839 * [backup-simplify]: Simplify 0 into 0
6.839 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
6.840 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.840 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
6.841 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.841 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
6.842 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
6.842 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
6.843 * [backup-simplify]: Simplify (- 0) into 0
6.843 * [backup-simplify]: Simplify (+ 0 0) into 0
6.843 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -0.5 K)))))) into 0
6.844 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -0.5 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.845 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -0.5 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)) (/ 0 (pow (cos (/ -0.5 K)) 2))) (* 0 (/ 0 (pow (cos (/ -0.5 K)) 2))) (* 0 (/ 0 (pow (cos (/ -0.5 K)) 2))))) into 0
6.847 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))))) into 0
6.847 * [backup-simplify]: Simplify (+ 0 0) into 0
6.848 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 0.5 (/ (cos (/ -0.5 K)) (* (sqrt 0.25) J))))))) (* 2 (/ (* (sqrt 0.25) J) (cos (/ -0.5 K))))) into 0
6.848 * [taylor]: Taking taylor expansion of 0 in J
6.848 * [backup-simplify]: Simplify 0 into 0
6.848 * [taylor]: Taking taylor expansion of 0 in K
6.849 * [backup-simplify]: Simplify 0 into 0
6.849 * [backup-simplify]: Simplify 0 into 0
6.849 * [backup-simplify]: Simplify (* (/ (sqrt 0.25) (cos (/ -0.5 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (/ (* (sqrt 0.25) U) (* (cos (* 0.5 K)) J))
6.850 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2)
6.850 * [backup-simplify]: Simplify (sqrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))) into (pow (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0) 1/4)
6.850 * [approximate]: Taking taylor expansion of (pow (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0) 1/4) in (U J K) around 0
6.850 * [taylor]: Taking taylor expansion of (pow (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0) 1/4) in K
6.850 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0)))) in K
6.850 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0))) in K
6.850 * [taylor]: Taking taylor expansion of 1/4 in K
6.850 * [backup-simplify]: Simplify 1/4 into 1/4
6.850 * [taylor]: Taking taylor expansion of (log (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0)) in K
6.850 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0) in K
6.851 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) in K
6.851 * [taylor]: Taking taylor expansion of 0.25 in K
6.851 * [backup-simplify]: Simplify 0.25 into 0.25
6.851 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2))) in K
6.851 * [taylor]: Taking taylor expansion of (pow U 2) in K
6.851 * [taylor]: Taking taylor expansion of U in K
6.851 * [backup-simplify]: Simplify U into U
6.851 * [taylor]: Taking taylor expansion of (* (pow J 2) (pow (cos (* 0.5 K)) 2)) in K
6.851 * [taylor]: Taking taylor expansion of (pow J 2) in K
6.851 * [taylor]: Taking taylor expansion of J in K
6.851 * [backup-simplify]: Simplify J into J
6.851 * [taylor]: Taking taylor expansion of (pow (cos (* 0.5 K)) 2) in K
6.851 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in K
6.851 * [taylor]: Taking taylor expansion of (* 0.5 K) in K
6.851 * [taylor]: Taking taylor expansion of 0.5 in K
6.851 * [backup-simplify]: Simplify 0.5 into 0.5
6.851 * [taylor]: Taking taylor expansion of K in K
6.851 * [backup-simplify]: Simplify 0 into 0
6.851 * [backup-simplify]: Simplify 1 into 1
6.852 * [backup-simplify]: Simplify (* 0.5 0) into 0
6.853 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5
6.853 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.853 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.854 * [backup-simplify]: Simplify (* 1 1) into 1
6.854 * [backup-simplify]: Simplify (* (pow J 2) 1) into (pow J 2)
6.854 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
6.854 * [taylor]: Taking taylor expansion of 1.0 in K
6.854 * [backup-simplify]: Simplify 1.0 into 1.0
6.854 * [backup-simplify]: Simplify (* 0.25 (/ (pow U 2) (pow J 2))) into (* 0.25 (/ (pow U 2) (pow J 2)))
6.855 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow U 2) (pow J 2))) 1.0) into (+ (* 0.25 (/ (pow U 2) (pow J 2))) 1.0)
6.855 * [backup-simplify]: Simplify (log (+ (* 0.25 (/ (pow U 2) (pow J 2))) 1.0)) into (log (+ (* 0.25 (/ (pow U 2) (pow J 2))) 1.0))
6.856 * [backup-simplify]: Simplify (* 1/4 (log (+ (* 0.25 (/ (pow U 2) (pow J 2))) 1.0))) into (* 1/4 (log (+ (* 0.25 (/ (pow U 2) (pow J 2))) 1.0)))
6.856 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ (* 0.25 (/ (pow U 2) (pow J 2))) 1.0)))) into (pow (+ (* 0.25 (/ (pow U 2) (pow J 2))) 1.0) 1/4)
6.856 * [taylor]: Taking taylor expansion of (pow (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0) 1/4) in J
6.856 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0)))) in J
6.856 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0))) in J
6.856 * [taylor]: Taking taylor expansion of 1/4 in J
6.856 * [backup-simplify]: Simplify 1/4 into 1/4
6.856 * [taylor]: Taking taylor expansion of (log (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0)) in J
6.856 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0) in J
6.856 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) in J
6.856 * [taylor]: Taking taylor expansion of 0.25 in J
6.856 * [backup-simplify]: Simplify 0.25 into 0.25
6.856 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2))) in J
6.856 * [taylor]: Taking taylor expansion of (pow U 2) in J
6.857 * [taylor]: Taking taylor expansion of U in J
6.857 * [backup-simplify]: Simplify U into U
6.857 * [taylor]: Taking taylor expansion of (* (pow J 2) (pow (cos (* 0.5 K)) 2)) in J
6.857 * [taylor]: Taking taylor expansion of (pow J 2) in J
6.857 * [taylor]: Taking taylor expansion of J in J
6.857 * [backup-simplify]: Simplify 0 into 0
6.857 * [backup-simplify]: Simplify 1 into 1
6.857 * [taylor]: Taking taylor expansion of (pow (cos (* 0.5 K)) 2) in J
6.857 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in J
6.857 * [taylor]: Taking taylor expansion of (* 0.5 K) in J
6.857 * [taylor]: Taking taylor expansion of 0.5 in J
6.857 * [backup-simplify]: Simplify 0.5 into 0.5
6.857 * [taylor]: Taking taylor expansion of K in J
6.857 * [backup-simplify]: Simplify K into K
6.857 * [backup-simplify]: Simplify (* 0.5 K) into (* 0.5 K)
6.857 * [backup-simplify]: Simplify (cos (* 0.5 K)) into (cos (* 0.5 K))
6.857 * [backup-simplify]: Simplify (sin (* 0.5 K)) into (sin (* 0.5 K))
6.857 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) 1) into (cos (* 0.5 K))
6.857 * [backup-simplify]: Simplify (* (sin (* 0.5 K)) 0) into 0
6.858 * [backup-simplify]: Simplify (- 0) into 0
6.858 * [backup-simplify]: Simplify (+ (cos (* 0.5 K)) 0) into (cos (* 0.5 K))
6.858 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.858 * [backup-simplify]: Simplify (* 1 1) into 1
6.859 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) (cos (* 0.5 K))) into (pow (cos (* 0.5 K)) 2)
6.859 * [backup-simplify]: Simplify (* 1 (pow (cos (* 0.5 K)) 2)) into (pow (cos (* 0.5 K)) 2)
6.859 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 0.5 K)) 2)) into (/ (pow U 2) (pow (cos (* 0.5 K)) 2))
6.859 * [taylor]: Taking taylor expansion of 1.0 in J
6.859 * [backup-simplify]: Simplify 1.0 into 1.0
6.859 * [backup-simplify]: Simplify (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2))) into (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2)))
6.860 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2))) 0) into (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2)))
6.860 * [backup-simplify]: Simplify (log (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2)))) into (log (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2))))
6.861 * [backup-simplify]: Simplify (+ (* (- 2) (log J)) (log (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2))))) into (- (log (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2)))) (* 2 (log J)))
6.862 * [backup-simplify]: Simplify (* 1/4 (- (log (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2)))) (* 2 (log J)))) into (* 1/4 (- (log (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2)))) (* 2 (log J))))
6.862 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2)))) (* 2 (log J))))) into (exp (* 1/4 (- (log (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2)))) (* 2 (log J)))))
6.862 * [taylor]: Taking taylor expansion of (pow (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0) 1/4) in U
6.862 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0)))) in U
6.862 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0))) in U
6.862 * [taylor]: Taking taylor expansion of 1/4 in U
6.862 * [backup-simplify]: Simplify 1/4 into 1/4
6.862 * [taylor]: Taking taylor expansion of (log (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0)) in U
6.862 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0) in U
6.862 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) in U
6.862 * [taylor]: Taking taylor expansion of 0.25 in U
6.863 * [backup-simplify]: Simplify 0.25 into 0.25
6.863 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2))) in U
6.863 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.863 * [taylor]: Taking taylor expansion of U in U
6.863 * [backup-simplify]: Simplify 0 into 0
6.863 * [backup-simplify]: Simplify 1 into 1
6.863 * [taylor]: Taking taylor expansion of (* (pow J 2) (pow (cos (* 0.5 K)) 2)) in U
6.863 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.863 * [taylor]: Taking taylor expansion of J in U
6.863 * [backup-simplify]: Simplify J into J
6.863 * [taylor]: Taking taylor expansion of (pow (cos (* 0.5 K)) 2) in U
6.863 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in U
6.863 * [taylor]: Taking taylor expansion of (* 0.5 K) in U
6.863 * [taylor]: Taking taylor expansion of 0.5 in U
6.863 * [backup-simplify]: Simplify 0.5 into 0.5
6.863 * [taylor]: Taking taylor expansion of K in U
6.863 * [backup-simplify]: Simplify K into K
6.863 * [backup-simplify]: Simplify (* 0.5 K) into (* 0.5 K)
6.863 * [backup-simplify]: Simplify (cos (* 0.5 K)) into (cos (* 0.5 K))
6.863 * [backup-simplify]: Simplify (sin (* 0.5 K)) into (sin (* 0.5 K))
6.863 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) 1) into (cos (* 0.5 K))
6.863 * [backup-simplify]: Simplify (* (sin (* 0.5 K)) 0) into 0
6.864 * [backup-simplify]: Simplify (- 0) into 0
6.864 * [backup-simplify]: Simplify (+ (cos (* 0.5 K)) 0) into (cos (* 0.5 K))
6.864 * [backup-simplify]: Simplify (* 1 1) into 1
6.864 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.865 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) (cos (* 0.5 K))) into (pow (cos (* 0.5 K)) 2)
6.865 * [backup-simplify]: Simplify (* (pow J 2) (pow (cos (* 0.5 K)) 2)) into (* (pow J 2) (pow (cos (* 0.5 K)) 2))
6.865 * [backup-simplify]: Simplify (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2))) into (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2)))
6.865 * [taylor]: Taking taylor expansion of 1.0 in U
6.865 * [backup-simplify]: Simplify 1.0 into 1.0
6.866 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
6.866 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
6.867 * [backup-simplify]: Simplify (* 1/4 (log 1.0)) into (* 1/4 (log 1.0))
6.869 * [backup-simplify]: Simplify (exp (* 1/4 (log 1.0))) into (pow 1.0 1/4)
6.869 * [taylor]: Taking taylor expansion of (pow (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0) 1/4) in U
6.869 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0)))) in U
6.869 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0))) in U
6.869 * [taylor]: Taking taylor expansion of 1/4 in U
6.869 * [backup-simplify]: Simplify 1/4 into 1/4
6.869 * [taylor]: Taking taylor expansion of (log (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0)) in U
6.869 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0) in U
6.869 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) in U
6.869 * [taylor]: Taking taylor expansion of 0.25 in U
6.869 * [backup-simplify]: Simplify 0.25 into 0.25
6.869 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2))) in U
6.869 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.869 * [taylor]: Taking taylor expansion of U in U
6.869 * [backup-simplify]: Simplify 0 into 0
6.869 * [backup-simplify]: Simplify 1 into 1
6.869 * [taylor]: Taking taylor expansion of (* (pow J 2) (pow (cos (* 0.5 K)) 2)) in U
6.869 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.869 * [taylor]: Taking taylor expansion of J in U
6.869 * [backup-simplify]: Simplify J into J
6.869 * [taylor]: Taking taylor expansion of (pow (cos (* 0.5 K)) 2) in U
6.869 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in U
6.869 * [taylor]: Taking taylor expansion of (* 0.5 K) in U
6.869 * [taylor]: Taking taylor expansion of 0.5 in U
6.869 * [backup-simplify]: Simplify 0.5 into 0.5
6.869 * [taylor]: Taking taylor expansion of K in U
6.870 * [backup-simplify]: Simplify K into K
6.870 * [backup-simplify]: Simplify (* 0.5 K) into (* 0.5 K)
6.870 * [backup-simplify]: Simplify (cos (* 0.5 K)) into (cos (* 0.5 K))
6.870 * [backup-simplify]: Simplify (sin (* 0.5 K)) into (sin (* 0.5 K))
6.870 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) 1) into (cos (* 0.5 K))
6.870 * [backup-simplify]: Simplify (* (sin (* 0.5 K)) 0) into 0
6.870 * [backup-simplify]: Simplify (- 0) into 0
6.870 * [backup-simplify]: Simplify (+ (cos (* 0.5 K)) 0) into (cos (* 0.5 K))
6.871 * [backup-simplify]: Simplify (* 1 1) into 1
6.871 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.871 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) (cos (* 0.5 K))) into (pow (cos (* 0.5 K)) 2)
6.871 * [backup-simplify]: Simplify (* (pow J 2) (pow (cos (* 0.5 K)) 2)) into (* (pow J 2) (pow (cos (* 0.5 K)) 2))
6.872 * [backup-simplify]: Simplify (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2))) into (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2)))
6.872 * [taylor]: Taking taylor expansion of 1.0 in U
6.872 * [backup-simplify]: Simplify 1.0 into 1.0
6.872 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
6.873 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
6.874 * [backup-simplify]: Simplify (* 1/4 (log 1.0)) into (* 1/4 (log 1.0))
6.875 * [backup-simplify]: Simplify (exp (* 1/4 (log 1.0))) into (pow 1.0 1/4)
6.875 * [taylor]: Taking taylor expansion of (pow 1.0 1/4) in J
6.875 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log 1.0))) in J
6.875 * [taylor]: Taking taylor expansion of (* 1/4 (log 1.0)) in J
6.875 * [taylor]: Taking taylor expansion of 1/4 in J
6.875 * [backup-simplify]: Simplify 1/4 into 1/4
6.875 * [taylor]: Taking taylor expansion of (log 1.0) in J
6.876 * [taylor]: Taking taylor expansion of 1.0 in J
6.876 * [backup-simplify]: Simplify 1.0 into 1.0
6.876 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
6.877 * [backup-simplify]: Simplify (* 1/4 (log 1.0)) into (* 1/4 (log 1.0))
6.879 * [backup-simplify]: Simplify (exp (* 1/4 (log 1.0))) into (pow 1.0 1/4)
6.879 * [taylor]: Taking taylor expansion of (pow 1.0 1/4) in K
6.879 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log 1.0))) in K
6.879 * [taylor]: Taking taylor expansion of (* 1/4 (log 1.0)) in K
6.879 * [taylor]: Taking taylor expansion of 1/4 in K
6.879 * [backup-simplify]: Simplify 1/4 into 1/4
6.879 * [taylor]: Taking taylor expansion of (log 1.0) in K
6.879 * [taylor]: Taking taylor expansion of 1.0 in K
6.879 * [backup-simplify]: Simplify 1.0 into 1.0
6.879 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
6.880 * [backup-simplify]: Simplify (* 1/4 (log 1.0)) into (* 1/4 (log 1.0))
6.882 * [backup-simplify]: Simplify (exp (* 1/4 (log 1.0))) into (pow 1.0 1/4)
6.882 * [backup-simplify]: Simplify (pow 1.0 1/4) into (pow 1.0 1/4)
6.883 * [backup-simplify]: Simplify (+ 0 0) into 0
6.884 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1.0 1)))) 1) into 0
6.885 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log 1.0))) into 0
6.887 * [backup-simplify]: Simplify (* (exp (* 1/4 (log 1.0))) (+ (* (/ (pow 0 1) 1)))) into 0
6.887 * [taylor]: Taking taylor expansion of 0 in J
6.887 * [backup-simplify]: Simplify 0 into 0
6.887 * [taylor]: Taking taylor expansion of 0 in K
6.887 * [backup-simplify]: Simplify 0 into 0
6.887 * [backup-simplify]: Simplify 0 into 0
6.888 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1.0 1)))) 1) into 0
6.889 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log 1.0))) into 0
6.891 * [backup-simplify]: Simplify (* (exp (* 1/4 (log 1.0))) (+ (* (/ (pow 0 1) 1)))) into 0
6.891 * [taylor]: Taking taylor expansion of 0 in K
6.891 * [backup-simplify]: Simplify 0 into 0
6.891 * [backup-simplify]: Simplify 0 into 0
6.892 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1.0 1)))) 1) into 0
6.893 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log 1.0))) into 0
6.895 * [backup-simplify]: Simplify (* (exp (* 1/4 (log 1.0))) (+ (* (/ (pow 0 1) 1)))) into 0
6.895 * [backup-simplify]: Simplify 0 into 0
6.895 * [backup-simplify]: Simplify (* 0.25 (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) into (/ 0.25 (* (pow J 2) (pow (cos (* 0.5 K)) 2)))
6.896 * [backup-simplify]: Simplify (+ (/ 0.25 (* (pow J 2) (pow (cos (* 0.5 K)) 2))) 0) into (* 0.25 (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2))))
6.898 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 (* 0.25 (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2))))) 1)) (pow 1.0 1)))) 2) into (/ 0.25 (* (pow J 2) (pow (cos (* 0.5 K)) 2)))
6.900 * [backup-simplify]: Simplify (+ (* 1/4 (/ 0.25 (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) (+ (* 0 0) (* 0 (log 1.0)))) into (* 0.0625 (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2))))
6.903 * [backup-simplify]: Simplify (* (exp (* 1/4 (log 1.0))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 0.0625 (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1) 1)))) into (* 0.0625 (* (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2))) (pow 1.0 1/4)))
6.903 * [taylor]: Taking taylor expansion of (* 0.0625 (* (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2))) (pow 1.0 1/4))) in J
6.903 * [taylor]: Taking taylor expansion of 0.0625 in J
6.903 * [backup-simplify]: Simplify 0.0625 into 0.0625
6.903 * [taylor]: Taking taylor expansion of (* (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2))) (pow 1.0 1/4)) in J
6.903 * [taylor]: Taking taylor expansion of (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2))) in J
6.903 * [taylor]: Taking taylor expansion of (* (pow J 2) (pow (cos (* 0.5 K)) 2)) in J
6.903 * [taylor]: Taking taylor expansion of (pow J 2) in J
6.903 * [taylor]: Taking taylor expansion of J in J
6.903 * [backup-simplify]: Simplify 0 into 0
6.903 * [backup-simplify]: Simplify 1 into 1
6.903 * [taylor]: Taking taylor expansion of (pow (cos (* 0.5 K)) 2) in J
6.903 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in J
6.903 * [taylor]: Taking taylor expansion of (* 0.5 K) in J
6.903 * [taylor]: Taking taylor expansion of 0.5 in J
6.903 * [backup-simplify]: Simplify 0.5 into 0.5
6.903 * [taylor]: Taking taylor expansion of K in J
6.903 * [backup-simplify]: Simplify K into K
6.903 * [backup-simplify]: Simplify (* 0.5 K) into (* 0.5 K)
6.903 * [backup-simplify]: Simplify (cos (* 0.5 K)) into (cos (* 0.5 K))
6.904 * [backup-simplify]: Simplify (sin (* 0.5 K)) into (sin (* 0.5 K))
6.904 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) 1) into (cos (* 0.5 K))
6.904 * [backup-simplify]: Simplify (* (sin (* 0.5 K)) 0) into 0
6.904 * [backup-simplify]: Simplify (- 0) into 0
6.904 * [backup-simplify]: Simplify (+ (cos (* 0.5 K)) 0) into (cos (* 0.5 K))
6.905 * [backup-simplify]: Simplify (* 1 1) into 1
6.905 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) (cos (* 0.5 K))) into (pow (cos (* 0.5 K)) 2)
6.905 * [backup-simplify]: Simplify (* 1 (pow (cos (* 0.5 K)) 2)) into (pow (cos (* 0.5 K)) 2)
6.905 * [backup-simplify]: Simplify (/ 1 (pow (cos (* 0.5 K)) 2)) into (/ 1 (pow (cos (* 0.5 K)) 2))
6.905 * [taylor]: Taking taylor expansion of (pow 1.0 1/4) in J
6.905 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log 1.0))) in J
6.905 * [taylor]: Taking taylor expansion of (* 1/4 (log 1.0)) in J
6.906 * [taylor]: Taking taylor expansion of 1/4 in J
6.906 * [backup-simplify]: Simplify 1/4 into 1/4
6.906 * [taylor]: Taking taylor expansion of (log 1.0) in J
6.906 * [taylor]: Taking taylor expansion of 1.0 in J
6.906 * [backup-simplify]: Simplify 1.0 into 1.0
6.906 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
6.907 * [backup-simplify]: Simplify (* 1/4 (log 1.0)) into (* 1/4 (log 1.0))
6.909 * [backup-simplify]: Simplify (exp (* 1/4 (log 1.0))) into (pow 1.0 1/4)
6.910 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1.0 1)))) 1) into 0
6.911 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log 1.0))) into 0
6.914 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into 0
6.915 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log 1.0)))) into 0
6.918 * [backup-simplify]: Simplify (* (exp (* 1/4 (log 1.0))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
6.918 * [backup-simplify]: Simplify (+ 0) into 0
6.919 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (* 0 1)) into 0
6.919 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 K)) into 0
6.922 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.923 * [backup-simplify]: Simplify (+ (* (sin (* 0.5 K)) 0) (* 0 0)) into 0
6.923 * [backup-simplify]: Simplify (- 0) into 0
6.923 * [backup-simplify]: Simplify (+ 0 0) into 0
6.924 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (* 0 (cos (* 0.5 K)))) into 0
6.924 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.925 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (* 0.5 K)) 2))) into 0
6.925 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (cos (* 0.5 K)) 2)) (/ 0 (pow (cos (* 0.5 K)) 2))))) into 0
6.927 * [backup-simplify]: Simplify (* (exp (* 1/4 (log 1.0))) (+ (* (/ (pow 0 1) 1)))) into 0
6.928 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.929 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (+ (* 0 0) (* 0 1))) into 0
6.930 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 K))) into 0
6.931 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.931 * [backup-simplify]: Simplify (+ (* (sin (* 0.5 K)) 0) (+ (* 0 0) (* 0 0))) into 0
6.932 * [backup-simplify]: Simplify (- 0) into 0
6.932 * [backup-simplify]: Simplify (+ 0 0) into 0
6.932 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (+ (* 0 0) (* 0 (cos (* 0.5 K))))) into 0
6.933 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (* 0.5 K)) 2)))) into 0
6.935 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (cos (* 0.5 K)) 2)) (/ 0 (pow (cos (* 0.5 K)) 2))) (* 0 (/ 0 (pow (cos (* 0.5 K)) 2))))) into 0
6.936 * [backup-simplify]: Simplify (+ (* (/ 1 (pow (cos (* 0.5 K)) 2)) 0) (+ (* 0 0) (* 0 (pow 1.0 1/4)))) into 0
6.937 * [backup-simplify]: Simplify (+ (* (/ 1 (pow (cos (* 0.5 K)) 2)) 0) (* 0 (pow 1.0 1/4))) into 0
6.937 * [backup-simplify]: Simplify (* (/ 1 (pow (cos (* 0.5 K)) 2)) (pow 1.0 1/4)) into (* (/ 1 (pow (cos (* 0.5 K)) 2)) (pow 1.0 1/4))
6.939 * [backup-simplify]: Simplify (+ (* 0.0625 0) (+ (* 0 0) (* 0 (* (/ 1 (pow (cos (* 0.5 K)) 2)) (pow 1.0 1/4))))) into 0
6.939 * [taylor]: Taking taylor expansion of 0 in K
6.939 * [backup-simplify]: Simplify 0 into 0
6.939 * [backup-simplify]: Simplify 0 into 0
6.939 * [taylor]: Taking taylor expansion of 0 in K
6.939 * [backup-simplify]: Simplify 0 into 0
6.939 * [backup-simplify]: Simplify 0 into 0
6.942 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into 0
6.943 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log 1.0)))) into 0
6.945 * [backup-simplify]: Simplify (* (exp (* 1/4 (log 1.0))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
6.946 * [taylor]: Taking taylor expansion of 0 in K
6.946 * [backup-simplify]: Simplify 0 into 0
6.946 * [backup-simplify]: Simplify 0 into 0
6.946 * [backup-simplify]: Simplify (pow 1.0 1/4) into (pow 1.0 1/4)
6.947 * [backup-simplify]: Simplify (sqrt (sqrt (+ 1.0 (pow (/ (/ (/ 1 U) 2.0) (* (/ 1 J) (cos (/ (/ 1 K) 2.0)))) 2.0)))) into (pow (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0) 1/4)
6.947 * [approximate]: Taking taylor expansion of (pow (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0) 1/4) in (U J K) around 0
6.947 * [taylor]: Taking taylor expansion of (pow (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0) 1/4) in K
6.947 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)))) in K
6.947 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0))) in K
6.947 * [taylor]: Taking taylor expansion of 1/4 in K
6.947 * [backup-simplify]: Simplify 1/4 into 1/4
6.947 * [taylor]: Taking taylor expansion of (log (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) in K
6.947 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0) in K
6.947 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) in K
6.947 * [taylor]: Taking taylor expansion of 0.25 in K
6.947 * [backup-simplify]: Simplify 0.25 into 0.25
6.947 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))) in K
6.947 * [taylor]: Taking taylor expansion of (pow J 2) in K
6.947 * [taylor]: Taking taylor expansion of J in K
6.947 * [backup-simplify]: Simplify J into J
6.947 * [taylor]: Taking taylor expansion of (* (pow (cos (/ 0.5 K)) 2) (pow U 2)) in K
6.947 * [taylor]: Taking taylor expansion of (pow (cos (/ 0.5 K)) 2) in K
6.947 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in K
6.947 * [taylor]: Taking taylor expansion of (/ 0.5 K) in K
6.948 * [taylor]: Taking taylor expansion of 0.5 in K
6.948 * [backup-simplify]: Simplify 0.5 into 0.5
6.948 * [taylor]: Taking taylor expansion of K in K
6.948 * [backup-simplify]: Simplify 0 into 0
6.948 * [backup-simplify]: Simplify 1 into 1
6.948 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5
6.948 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
6.948 * [taylor]: Taking taylor expansion of (pow U 2) in K
6.948 * [taylor]: Taking taylor expansion of U in K
6.948 * [backup-simplify]: Simplify U into U
6.948 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.949 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) (cos (/ 0.5 K))) into (pow (cos (/ 0.5 K)) 2)
6.949 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.949 * [backup-simplify]: Simplify (* (pow (cos (/ 0.5 K)) 2) (pow U 2)) into (* (pow U 2) (pow (cos (/ 0.5 K)) 2))
6.949 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 0.5 K)) 2))) into (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))
6.949 * [taylor]: Taking taylor expansion of 1.0 in K
6.949 * [backup-simplify]: Simplify 1.0 into 1.0
6.950 * [backup-simplify]: Simplify (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) into (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))))
6.950 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0) into (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)
6.951 * [backup-simplify]: Simplify (log (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) into (log (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0))
6.952 * [backup-simplify]: Simplify (* 1/4 (log (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0))) into (* 1/4 (log (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)))
6.952 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)))) into (pow (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0) 1/4)
6.952 * [taylor]: Taking taylor expansion of (pow (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0) 1/4) in J
6.952 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)))) in J
6.952 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0))) in J
6.952 * [taylor]: Taking taylor expansion of 1/4 in J
6.952 * [backup-simplify]: Simplify 1/4 into 1/4
6.952 * [taylor]: Taking taylor expansion of (log (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) in J
6.952 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0) in J
6.952 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) in J
6.952 * [taylor]: Taking taylor expansion of 0.25 in J
6.952 * [backup-simplify]: Simplify 0.25 into 0.25
6.952 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))) in J
6.952 * [taylor]: Taking taylor expansion of (pow J 2) in J
6.952 * [taylor]: Taking taylor expansion of J in J
6.952 * [backup-simplify]: Simplify 0 into 0
6.952 * [backup-simplify]: Simplify 1 into 1
6.952 * [taylor]: Taking taylor expansion of (* (pow (cos (/ 0.5 K)) 2) (pow U 2)) in J
6.952 * [taylor]: Taking taylor expansion of (pow (cos (/ 0.5 K)) 2) in J
6.952 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in J
6.952 * [taylor]: Taking taylor expansion of (/ 0.5 K) in J
6.952 * [taylor]: Taking taylor expansion of 0.5 in J
6.952 * [backup-simplify]: Simplify 0.5 into 0.5
6.953 * [taylor]: Taking taylor expansion of K in J
6.953 * [backup-simplify]: Simplify K into K
6.953 * [backup-simplify]: Simplify (/ 0.5 K) into (/ 0.5 K)
6.953 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
6.953 * [backup-simplify]: Simplify (sin (/ 0.5 K)) into (sin (/ 0.5 K))
6.953 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
6.953 * [backup-simplify]: Simplify (* (sin (/ 0.5 K)) 0) into 0
6.953 * [backup-simplify]: Simplify (- 0) into 0
6.953 * [backup-simplify]: Simplify (+ (cos (/ 0.5 K)) 0) into (cos (/ 0.5 K))
6.953 * [taylor]: Taking taylor expansion of (pow U 2) in J
6.953 * [taylor]: Taking taylor expansion of U in J
6.953 * [backup-simplify]: Simplify U into U
6.954 * [backup-simplify]: Simplify (* 1 1) into 1
6.954 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) (cos (/ 0.5 K))) into (pow (cos (/ 0.5 K)) 2)
6.954 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.954 * [backup-simplify]: Simplify (* (pow (cos (/ 0.5 K)) 2) (pow U 2)) into (* (pow U 2) (pow (cos (/ 0.5 K)) 2))
6.954 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 0.5 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 0.5 K)) 2)))
6.954 * [taylor]: Taking taylor expansion of 1.0 in J
6.954 * [backup-simplify]: Simplify 1.0 into 1.0
6.954 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
6.955 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
6.955 * [backup-simplify]: Simplify (* 1/4 (log 1.0)) into (* 1/4 (log 1.0))
6.956 * [backup-simplify]: Simplify (exp (* 1/4 (log 1.0))) into (pow 1.0 1/4)
6.956 * [taylor]: Taking taylor expansion of (pow (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0) 1/4) in U
6.956 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)))) in U
6.956 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0))) in U
6.956 * [taylor]: Taking taylor expansion of 1/4 in U
6.956 * [backup-simplify]: Simplify 1/4 into 1/4
6.956 * [taylor]: Taking taylor expansion of (log (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) in U
6.956 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0) in U
6.956 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) in U
6.956 * [taylor]: Taking taylor expansion of 0.25 in U
6.956 * [backup-simplify]: Simplify 0.25 into 0.25
6.956 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))) in U
6.956 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.956 * [taylor]: Taking taylor expansion of J in U
6.956 * [backup-simplify]: Simplify J into J
6.956 * [taylor]: Taking taylor expansion of (* (pow (cos (/ 0.5 K)) 2) (pow U 2)) in U
6.956 * [taylor]: Taking taylor expansion of (pow (cos (/ 0.5 K)) 2) in U
6.956 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in U
6.956 * [taylor]: Taking taylor expansion of (/ 0.5 K) in U
6.956 * [taylor]: Taking taylor expansion of 0.5 in U
6.957 * [backup-simplify]: Simplify 0.5 into 0.5
6.957 * [taylor]: Taking taylor expansion of K in U
6.957 * [backup-simplify]: Simplify K into K
6.957 * [backup-simplify]: Simplify (/ 0.5 K) into (/ 0.5 K)
6.957 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
6.957 * [backup-simplify]: Simplify (sin (/ 0.5 K)) into (sin (/ 0.5 K))
6.957 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
6.957 * [backup-simplify]: Simplify (* (sin (/ 0.5 K)) 0) into 0
6.957 * [backup-simplify]: Simplify (- 0) into 0
6.957 * [backup-simplify]: Simplify (+ (cos (/ 0.5 K)) 0) into (cos (/ 0.5 K))
6.957 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.957 * [taylor]: Taking taylor expansion of U in U
6.957 * [backup-simplify]: Simplify 0 into 0
6.957 * [backup-simplify]: Simplify 1 into 1
6.957 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.957 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) (cos (/ 0.5 K))) into (pow (cos (/ 0.5 K)) 2)
6.958 * [backup-simplify]: Simplify (* 1 1) into 1
6.958 * [backup-simplify]: Simplify (* (pow (cos (/ 0.5 K)) 2) 1) into (pow (cos (/ 0.5 K)) 2)
6.958 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)) into (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))
6.958 * [taylor]: Taking taylor expansion of 1.0 in U
6.958 * [backup-simplify]: Simplify 1.0 into 1.0
6.958 * [backup-simplify]: Simplify (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))) into (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))
6.959 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))) 0) into (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))
6.959 * [backup-simplify]: Simplify (log (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) into (log (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))))
6.959 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))))) into (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U)))
6.960 * [backup-simplify]: Simplify (* 1/4 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U))))
6.960 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U)))))
6.960 * [taylor]: Taking taylor expansion of (pow (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0) 1/4) in U
6.960 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)))) in U
6.960 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0))) in U
6.960 * [taylor]: Taking taylor expansion of 1/4 in U
6.960 * [backup-simplify]: Simplify 1/4 into 1/4
6.960 * [taylor]: Taking taylor expansion of (log (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) in U
6.960 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0) in U
6.960 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) in U
6.960 * [taylor]: Taking taylor expansion of 0.25 in U
6.960 * [backup-simplify]: Simplify 0.25 into 0.25
6.960 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))) in U
6.960 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.960 * [taylor]: Taking taylor expansion of J in U
6.960 * [backup-simplify]: Simplify J into J
6.960 * [taylor]: Taking taylor expansion of (* (pow (cos (/ 0.5 K)) 2) (pow U 2)) in U
6.960 * [taylor]: Taking taylor expansion of (pow (cos (/ 0.5 K)) 2) in U
6.960 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in U
6.960 * [taylor]: Taking taylor expansion of (/ 0.5 K) in U
6.960 * [taylor]: Taking taylor expansion of 0.5 in U
6.960 * [backup-simplify]: Simplify 0.5 into 0.5
6.960 * [taylor]: Taking taylor expansion of K in U
6.960 * [backup-simplify]: Simplify K into K
6.960 * [backup-simplify]: Simplify (/ 0.5 K) into (/ 0.5 K)
6.960 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
6.960 * [backup-simplify]: Simplify (sin (/ 0.5 K)) into (sin (/ 0.5 K))
6.961 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
6.961 * [backup-simplify]: Simplify (* (sin (/ 0.5 K)) 0) into 0
6.961 * [backup-simplify]: Simplify (- 0) into 0
6.961 * [backup-simplify]: Simplify (+ (cos (/ 0.5 K)) 0) into (cos (/ 0.5 K))
6.961 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.961 * [taylor]: Taking taylor expansion of U in U
6.961 * [backup-simplify]: Simplify 0 into 0
6.961 * [backup-simplify]: Simplify 1 into 1
6.961 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.961 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) (cos (/ 0.5 K))) into (pow (cos (/ 0.5 K)) 2)
6.961 * [backup-simplify]: Simplify (* 1 1) into 1
6.962 * [backup-simplify]: Simplify (* (pow (cos (/ 0.5 K)) 2) 1) into (pow (cos (/ 0.5 K)) 2)
6.962 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)) into (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))
6.962 * [taylor]: Taking taylor expansion of 1.0 in U
6.962 * [backup-simplify]: Simplify 1.0 into 1.0
6.962 * [backup-simplify]: Simplify (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))) into (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))
6.962 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))) 0) into (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))
6.962 * [backup-simplify]: Simplify (log (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) into (log (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))))
6.963 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))))) into (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U)))
6.963 * [backup-simplify]: Simplify (* 1/4 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U))))
6.963 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U)))))
6.963 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U))))) in J
6.963 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U)))) in J
6.963 * [taylor]: Taking taylor expansion of 1/4 in J
6.963 * [backup-simplify]: Simplify 1/4 into 1/4
6.963 * [taylor]: Taking taylor expansion of (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U))) in J
6.964 * [taylor]: Taking taylor expansion of (log (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) in J
6.964 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))) in J
6.964 * [taylor]: Taking taylor expansion of 0.25 in J
6.964 * [backup-simplify]: Simplify 0.25 into 0.25
6.964 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)) in J
6.964 * [taylor]: Taking taylor expansion of (pow J 2) in J
6.964 * [taylor]: Taking taylor expansion of J in J
6.964 * [backup-simplify]: Simplify 0 into 0
6.964 * [backup-simplify]: Simplify 1 into 1
6.964 * [taylor]: Taking taylor expansion of (pow (cos (/ 0.5 K)) 2) in J
6.964 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in J
6.964 * [taylor]: Taking taylor expansion of (/ 0.5 K) in J
6.964 * [taylor]: Taking taylor expansion of 0.5 in J
6.964 * [backup-simplify]: Simplify 0.5 into 0.5
6.964 * [taylor]: Taking taylor expansion of K in J
6.964 * [backup-simplify]: Simplify K into K
6.964 * [backup-simplify]: Simplify (/ 0.5 K) into (/ 0.5 K)
6.964 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
6.964 * [backup-simplify]: Simplify (sin (/ 0.5 K)) into (sin (/ 0.5 K))
6.964 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
6.964 * [backup-simplify]: Simplify (* (sin (/ 0.5 K)) 0) into 0
6.964 * [backup-simplify]: Simplify (- 0) into 0
6.964 * [backup-simplify]: Simplify (+ (cos (/ 0.5 K)) 0) into (cos (/ 0.5 K))
6.965 * [backup-simplify]: Simplify (* 1 1) into 1
6.965 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) (cos (/ 0.5 K))) into (pow (cos (/ 0.5 K)) 2)
6.965 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 0.5 K)) 2)) into (/ 1 (pow (cos (/ 0.5 K)) 2))
6.965 * [backup-simplify]: Simplify (* 0.25 (/ 1 (pow (cos (/ 0.5 K)) 2))) into (/ 0.25 (pow (cos (/ 0.5 K)) 2))
6.965 * [backup-simplify]: Simplify (log (/ 0.25 (pow (cos (/ 0.5 K)) 2))) into (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))
6.965 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J
6.965 * [taylor]: Taking taylor expansion of 2 in J
6.965 * [backup-simplify]: Simplify 2 into 2
6.965 * [taylor]: Taking taylor expansion of (log U) in J
6.965 * [taylor]: Taking taylor expansion of U in J
6.965 * [backup-simplify]: Simplify U into U
6.965 * [backup-simplify]: Simplify (log U) into (log U)
6.966 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) into (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2))))
6.966 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U))
6.966 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U)))
6.966 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U)))
6.966 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U))))
6.966 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U)))))
6.967 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U))))) in K
6.967 * [taylor]: Taking taylor expansion of (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U)))) in K
6.967 * [taylor]: Taking taylor expansion of 1/4 in K
6.967 * [backup-simplify]: Simplify 1/4 into 1/4
6.967 * [taylor]: Taking taylor expansion of (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U))) in K
6.967 * [taylor]: Taking taylor expansion of (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) in K
6.967 * [taylor]: Taking taylor expansion of (* 2 (log J)) in K
6.967 * [taylor]: Taking taylor expansion of 2 in K
6.967 * [backup-simplify]: Simplify 2 into 2
6.967 * [taylor]: Taking taylor expansion of (log J) in K
6.967 * [taylor]: Taking taylor expansion of J in K
6.967 * [backup-simplify]: Simplify J into J
6.967 * [backup-simplify]: Simplify (log J) into (log J)
6.967 * [taylor]: Taking taylor expansion of (log (/ 0.25 (pow (cos (/ 0.5 K)) 2))) in K
6.967 * [taylor]: Taking taylor expansion of (/ 0.25 (pow (cos (/ 0.5 K)) 2)) in K
6.967 * [taylor]: Taking taylor expansion of 0.25 in K
6.967 * [backup-simplify]: Simplify 0.25 into 0.25
6.967 * [taylor]: Taking taylor expansion of (pow (cos (/ 0.5 K)) 2) in K
6.967 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in K
6.967 * [taylor]: Taking taylor expansion of (/ 0.5 K) in K
6.967 * [taylor]: Taking taylor expansion of 0.5 in K
6.967 * [backup-simplify]: Simplify 0.5 into 0.5
6.967 * [taylor]: Taking taylor expansion of K in K
6.967 * [backup-simplify]: Simplify 0 into 0
6.967 * [backup-simplify]: Simplify 1 into 1
6.967 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5
6.967 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
6.967 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) (cos (/ 0.5 K))) into (pow (cos (/ 0.5 K)) 2)
6.968 * [backup-simplify]: Simplify (/ 0.25 (pow (cos (/ 0.5 K)) 2)) into (/ 0.25 (pow (cos (/ 0.5 K)) 2))
6.968 * [backup-simplify]: Simplify (log (/ 0.25 (pow (cos (/ 0.5 K)) 2))) into (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))
6.968 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K
6.968 * [taylor]: Taking taylor expansion of 2 in K
6.968 * [backup-simplify]: Simplify 2 into 2
6.968 * [taylor]: Taking taylor expansion of (log U) in K
6.968 * [taylor]: Taking taylor expansion of U in K
6.968 * [backup-simplify]: Simplify U into U
6.968 * [backup-simplify]: Simplify (log U) into (log U)
6.968 * [backup-simplify]: Simplify (* 2 (log J)) into (* 2 (log J))
6.968 * [backup-simplify]: Simplify (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) into (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2))))
6.968 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U))
6.968 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U)))
6.968 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U)))
6.969 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U))))
6.969 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U)))))
6.969 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U)))))
6.969 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.970 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.970 * [backup-simplify]: Simplify (+ 0) into 0
6.970 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 1)) into 0
6.970 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)))) into 0
6.971 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.971 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (* 0 0)) into 0
6.971 * [backup-simplify]: Simplify (- 0) into 0
6.972 * [backup-simplify]: Simplify (+ 0 0) into 0
6.972 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 (cos (/ 0.5 K)))) into 0
6.972 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 0.5 K)) 2) 0) (* 0 1)) into 0
6.973 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 0.5 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)) (/ 0 (pow (cos (/ 0.5 K)) 2))))) into 0
6.973 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) into 0
6.973 * [backup-simplify]: Simplify (+ 0 0) into 0
6.974 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))) 1)))) 1) into 0
6.974 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))))) into (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U)))
6.975 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U))))) into 0
6.976 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0
6.976 * [taylor]: Taking taylor expansion of 0 in J
6.976 * [backup-simplify]: Simplify 0 into 0
6.976 * [taylor]: Taking taylor expansion of 0 in K
6.976 * [backup-simplify]: Simplify 0 into 0
6.976 * [backup-simplify]: Simplify 0 into 0
6.976 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.977 * [backup-simplify]: Simplify (+ 0) into 0
6.977 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 1)) into 0
6.977 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)))) into 0
6.977 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.978 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (* 0 0)) into 0
6.978 * [backup-simplify]: Simplify (- 0) into 0
6.978 * [backup-simplify]: Simplify (+ 0 0) into 0
6.978 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 (cos (/ 0.5 K)))) into 0
6.979 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 0.5 K)) 2)) (+ (* (/ 1 (pow (cos (/ 0.5 K)) 2)) (/ 0 (pow (cos (/ 0.5 K)) 2))))) into 0
6.979 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ 1 (pow (cos (/ 0.5 K)) 2)))) into 0
6.980 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 0.25 (pow (cos (/ 0.5 K)) 2)) 1)))) 1) into 0
6.980 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0
6.981 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0
6.981 * [backup-simplify]: Simplify (- 0) into 0
6.982 * [backup-simplify]: Simplify (+ 0 0) into 0
6.983 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U))))) into 0
6.984 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0
6.984 * [taylor]: Taking taylor expansion of 0 in K
6.984 * [backup-simplify]: Simplify 0 into 0
6.984 * [backup-simplify]: Simplify 0 into 0
6.985 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0
6.985 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log J))) into 0
6.985 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 (cos (/ 0.5 K)))) into 0
6.986 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 0.5 K)) 2)) (+ (* (/ 0.25 (pow (cos (/ 0.5 K)) 2)) (/ 0 (pow (cos (/ 0.5 K)) 2))))) into 0
6.987 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 0.25 (pow (cos (/ 0.5 K)) 2)) 1)))) 1) into 0
6.988 * [backup-simplify]: Simplify (+ 0 0) into 0
6.989 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0
6.989 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0
6.990 * [backup-simplify]: Simplify (- 0) into 0
6.990 * [backup-simplify]: Simplify (+ 0 0) into 0
6.991 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U))))) into 0
6.993 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0
6.993 * [backup-simplify]: Simplify 0 into 0
6.993 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
6.994 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.995 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.996 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (+ (* 0 0) (* 0 1))) into 0
6.996 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
6.997 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.998 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (+ (* 0 0) (* 0 0))) into 0
6.998 * [backup-simplify]: Simplify (- 0) into 0
6.998 * [backup-simplify]: Simplify (+ 0 0) into 0
6.999 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (+ (* 0 0) (* 0 (cos (/ 0.5 K))))) into 0
7.000 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 0.5 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
7.001 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 0.5 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)) (/ 0 (pow (cos (/ 0.5 K)) 2))) (* 0 (/ 0 (pow (cos (/ 0.5 K)) 2))))) into 0
7.002 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))))) into 0
7.002 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
7.006 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 1.0) 1)) (pow (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))) 1)))) 2) into (* 4.0 (/ (pow (cos (/ 0.5 K)) 2) (pow J 2)))
7.006 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))))) into (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U)))
7.008 * [backup-simplify]: Simplify (+ (* 1/4 (* 4.0 (/ (pow (cos (/ 0.5 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U)))))) into (* 1.0 (/ (pow (cos (/ 0.5 K)) 2) (pow J 2)))
7.009 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1.0 (/ (pow (cos (/ 0.5 K)) 2) (pow J 2))) 1) 1)))) into (* 1.0 (/ (* (exp (* 1/4 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 0.5 K)) 2)) (pow J 2)))
7.010 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (exp (* 1/4 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 0.5 K)) 2)) (pow J 2))) in J
7.010 * [taylor]: Taking taylor expansion of 1.0 in J
7.010 * [backup-simplify]: Simplify 1.0 into 1.0
7.010 * [taylor]: Taking taylor expansion of (/ (* (exp (* 1/4 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 0.5 K)) 2)) (pow J 2)) in J
7.010 * [taylor]: Taking taylor expansion of (* (exp (* 1/4 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 0.5 K)) 2)) in J
7.010 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U))))) in J
7.010 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U)))) in J
7.010 * [taylor]: Taking taylor expansion of 1/4 in J
7.010 * [backup-simplify]: Simplify 1/4 into 1/4
7.010 * [taylor]: Taking taylor expansion of (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U))) in J
7.010 * [taylor]: Taking taylor expansion of (log (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) in J
7.010 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))) in J
7.010 * [taylor]: Taking taylor expansion of 0.25 in J
7.010 * [backup-simplify]: Simplify 0.25 into 0.25
7.010 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)) in J
7.010 * [taylor]: Taking taylor expansion of (pow J 2) in J
7.010 * [taylor]: Taking taylor expansion of J in J
7.010 * [backup-simplify]: Simplify 0 into 0
7.010 * [backup-simplify]: Simplify 1 into 1
7.010 * [taylor]: Taking taylor expansion of (pow (cos (/ 0.5 K)) 2) in J
7.010 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in J
7.010 * [taylor]: Taking taylor expansion of (/ 0.5 K) in J
7.010 * [taylor]: Taking taylor expansion of 0.5 in J
7.010 * [backup-simplify]: Simplify 0.5 into 0.5
7.010 * [taylor]: Taking taylor expansion of K in J
7.010 * [backup-simplify]: Simplify K into K
7.010 * [backup-simplify]: Simplify (/ 0.5 K) into (/ 0.5 K)
7.011 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
7.011 * [backup-simplify]: Simplify (sin (/ 0.5 K)) into (sin (/ 0.5 K))
7.011 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
7.011 * [backup-simplify]: Simplify (* (sin (/ 0.5 K)) 0) into 0
7.011 * [backup-simplify]: Simplify (- 0) into 0
7.011 * [backup-simplify]: Simplify (+ (cos (/ 0.5 K)) 0) into (cos (/ 0.5 K))
7.012 * [backup-simplify]: Simplify (* 1 1) into 1
7.012 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) (cos (/ 0.5 K))) into (pow (cos (/ 0.5 K)) 2)
7.012 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 0.5 K)) 2)) into (/ 1 (pow (cos (/ 0.5 K)) 2))
7.012 * [backup-simplify]: Simplify (* 0.25 (/ 1 (pow (cos (/ 0.5 K)) 2))) into (/ 0.25 (pow (cos (/ 0.5 K)) 2))
7.013 * [backup-simplify]: Simplify (log (/ 0.25 (pow (cos (/ 0.5 K)) 2))) into (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))
7.013 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J
7.013 * [taylor]: Taking taylor expansion of 2 in J
7.013 * [backup-simplify]: Simplify 2 into 2
7.013 * [taylor]: Taking taylor expansion of (log U) in J
7.013 * [taylor]: Taking taylor expansion of U in J
7.013 * [backup-simplify]: Simplify U into U
7.013 * [backup-simplify]: Simplify (log U) into (log U)
7.014 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) into (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2))))
7.014 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U))
7.014 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U)))
7.014 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U)))
7.015 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U))))
7.015 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U)))))
7.015 * [taylor]: Taking taylor expansion of (pow (cos (/ 0.5 K)) 2) in J
7.015 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in J
7.015 * [taylor]: Taking taylor expansion of (/ 0.5 K) in J
7.015 * [taylor]: Taking taylor expansion of 0.5 in J
7.015 * [backup-simplify]: Simplify 0.5 into 0.5
7.015 * [taylor]: Taking taylor expansion of K in J
7.015 * [backup-simplify]: Simplify K into K
7.015 * [backup-simplify]: Simplify (/ 0.5 K) into (/ 0.5 K)
7.016 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
7.016 * [backup-simplify]: Simplify (sin (/ 0.5 K)) into (sin (/ 0.5 K))
7.016 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
7.016 * [backup-simplify]: Simplify (* (sin (/ 0.5 K)) 0) into 0
7.016 * [backup-simplify]: Simplify (- 0) into 0
7.016 * [backup-simplify]: Simplify (+ (cos (/ 0.5 K)) 0) into (cos (/ 0.5 K))
7.017 * [taylor]: Taking taylor expansion of (pow J 2) in J
7.017 * [taylor]: Taking taylor expansion of J in J
7.017 * [backup-simplify]: Simplify 0 into 0
7.017 * [backup-simplify]: Simplify 1 into 1
7.017 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) (cos (/ 0.5 K))) into (pow (cos (/ 0.5 K)) 2)
7.017 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 0.5 K)) 2)) into (* (pow (cos (/ 0.5 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U))))))
7.018 * [backup-simplify]: Simplify (* 1 1) into 1
7.019 * [backup-simplify]: Simplify (/ (* (pow (cos (/ 0.5 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U)))))) 1) into (* (pow (cos (/ 0.5 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U))))))
7.019 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)))) into 0
7.020 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.020 * [backup-simplify]: Simplify (+ 0) into 0
7.021 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (+ (* 0 0) (* 0 1))) into 0
7.021 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
7.022 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.023 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.023 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (+ (* 0 0) (* 0 0))) into 0
7.024 * [backup-simplify]: Simplify (- 0) into 0
7.024 * [backup-simplify]: Simplify (+ 0 0) into 0
7.025 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 1)) into 0
7.025 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (* 0 0)) into 0
7.025 * [backup-simplify]: Simplify (- 0) into 0
7.026 * [backup-simplify]: Simplify (+ 0 0) into 0
7.026 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (+ (* 0 0) (* 0 (cos (/ 0.5 K))))) into 0
7.027 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.027 * [backup-simplify]: Simplify (+ 0) into 0
7.028 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 1)) into 0
7.028 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)))) into 0
7.029 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.030 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (* 0 0)) into 0
7.030 * [backup-simplify]: Simplify (- 0) into 0
7.030 * [backup-simplify]: Simplify (+ 0 0) into 0
7.031 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 (cos (/ 0.5 K)))) into 0
7.031 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 0.5 K)) 2)) (+ (* (/ 1 (pow (cos (/ 0.5 K)) 2)) (/ 0 (pow (cos (/ 0.5 K)) 2))))) into 0
7.032 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ 1 (pow (cos (/ 0.5 K)) 2)))) into 0
7.033 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 0.25 (pow (cos (/ 0.5 K)) 2)) 1)))) 1) into 0
7.034 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0
7.034 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0
7.035 * [backup-simplify]: Simplify (- 0) into 0
7.035 * [backup-simplify]: Simplify (+ 0 0) into 0
7.036 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U))))) into 0
7.038 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0
7.038 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 (cos (/ 0.5 K)))) into 0
7.039 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.040 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.041 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (+ (* 0 0) (* 0 1))) into 0
7.041 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
7.042 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.042 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (+ (* 0 0) (* 0 0))) into 0
7.043 * [backup-simplify]: Simplify (- 0) into 0
7.043 * [backup-simplify]: Simplify (+ 0 0) into 0
7.044 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (+ (* 0 0) (* 0 (cos (/ 0.5 K))))) into 0
7.044 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 0.5 K)) 2)) (+ (* (/ 1 (pow (cos (/ 0.5 K)) 2)) (/ 0 (pow (cos (/ 0.5 K)) 2))) (* 0 (/ 0 (pow (cos (/ 0.5 K)) 2))))) into 0
7.045 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 0.5 K)) 2))))) into 0
7.048 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 0.25 (pow (cos (/ 0.5 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 0.25 (pow (cos (/ 0.5 K)) 2)) 1)))) 2) into 0
7.050 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0
7.051 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0
7.051 * [backup-simplify]: Simplify (- 0) into 0
7.051 * [backup-simplify]: Simplify (+ 0 0) into 0
7.053 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U)))))) into 0
7.054 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
7.055 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U))))) 0) (+ (* 0 0) (* 0 (pow (cos (/ 0.5 K)) 2)))) into 0
7.056 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.057 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U))))) 0) (* 0 (pow (cos (/ 0.5 K)) 2))) into 0
7.058 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ 0.5 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U)))))) (/ 0 1)))) into 0
7.061 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ 0.5 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U)))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.062 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (* (pow (cos (/ 0.5 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U))))))))) into 0
7.062 * [taylor]: Taking taylor expansion of 0 in K
7.062 * [backup-simplify]: Simplify 0 into 0
7.062 * [backup-simplify]: Simplify 0 into 0
7.062 * [taylor]: Taking taylor expansion of 0 in K
7.062 * [backup-simplify]: Simplify 0 into 0
7.062 * [backup-simplify]: Simplify 0 into 0
7.062 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.063 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.063 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (+ (* 0 0) (* 0 1))) into 0
7.063 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
7.064 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.064 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (+ (* 0 0) (* 0 0))) into 0
7.064 * [backup-simplify]: Simplify (- 0) into 0
7.065 * [backup-simplify]: Simplify (+ 0 0) into 0
7.065 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (+ (* 0 0) (* 0 (cos (/ 0.5 K))))) into 0
7.066 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 0.5 K)) 2)) (+ (* (/ 1 (pow (cos (/ 0.5 K)) 2)) (/ 0 (pow (cos (/ 0.5 K)) 2))) (* 0 (/ 0 (pow (cos (/ 0.5 K)) 2))))) into 0
7.066 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 0.5 K)) 2))))) into 0
7.069 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 0.25 (pow (cos (/ 0.5 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 0.25 (pow (cos (/ 0.5 K)) 2)) 1)))) 2) into 0
7.070 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0
7.071 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0
7.071 * [backup-simplify]: Simplify (- 0) into 0
7.071 * [backup-simplify]: Simplify (+ 0 0) into 0
7.072 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U)))))) into 0
7.073 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
7.073 * [taylor]: Taking taylor expansion of 0 in K
7.073 * [backup-simplify]: Simplify 0 into 0
7.073 * [backup-simplify]: Simplify 0 into 0
7.073 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log (/ 1 J))) (log (/ 0.25 (pow (cos (/ 0.5 (/ 1 K))) 2)))) (* 2 (log (/ 1 U)))))) into (exp (* 1/4 (- (+ (log (/ 0.25 (pow (cos (* 0.5 K)) 2))) (* 2 (log (/ 1 J)))) (* 2 (log (/ 1 U))))))
7.074 * [backup-simplify]: Simplify (sqrt (sqrt (+ 1.0 (pow (/ (/ (/ 1 (- U)) 2.0) (* (/ 1 (- J)) (cos (/ (/ 1 (- K)) 2.0)))) 2.0)))) into (pow (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0) 1/4)
7.074 * [approximate]: Taking taylor expansion of (pow (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0) 1/4) in (U J K) around 0
7.074 * [taylor]: Taking taylor expansion of (pow (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0) 1/4) in K
7.074 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)))) in K
7.074 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0))) in K
7.074 * [taylor]: Taking taylor expansion of 1/4 in K
7.074 * [backup-simplify]: Simplify 1/4 into 1/4
7.074 * [taylor]: Taking taylor expansion of (log (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)) in K
7.074 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0) in K
7.074 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) in K
7.074 * [taylor]: Taking taylor expansion of 0.25 in K
7.074 * [backup-simplify]: Simplify 0.25 into 0.25
7.074 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) in K
7.074 * [taylor]: Taking taylor expansion of (pow J 2) in K
7.074 * [taylor]: Taking taylor expansion of J in K
7.074 * [backup-simplify]: Simplify J into J
7.074 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -0.5 K)) 2) (pow U 2)) in K
7.074 * [taylor]: Taking taylor expansion of (pow (cos (/ -0.5 K)) 2) in K
7.074 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in K
7.074 * [taylor]: Taking taylor expansion of (/ -0.5 K) in K
7.074 * [taylor]: Taking taylor expansion of -0.5 in K
7.074 * [backup-simplify]: Simplify -0.5 into -0.5
7.074 * [taylor]: Taking taylor expansion of K in K
7.074 * [backup-simplify]: Simplify 0 into 0
7.074 * [backup-simplify]: Simplify 1 into 1
7.074 * [backup-simplify]: Simplify (/ -0.5 1) into -0.5
7.075 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
7.075 * [taylor]: Taking taylor expansion of (pow U 2) in K
7.075 * [taylor]: Taking taylor expansion of U in K
7.075 * [backup-simplify]: Simplify U into U
7.075 * [backup-simplify]: Simplify (* J J) into (pow J 2)
7.075 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) (cos (/ -0.5 K))) into (pow (cos (/ -0.5 K)) 2)
7.075 * [backup-simplify]: Simplify (* U U) into (pow U 2)
7.075 * [backup-simplify]: Simplify (* (pow (cos (/ -0.5 K)) 2) (pow U 2)) into (* (pow (cos (/ -0.5 K)) 2) (pow U 2))
7.075 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))
7.075 * [taylor]: Taking taylor expansion of 1.0 in K
7.075 * [backup-simplify]: Simplify 1.0 into 1.0
7.075 * [backup-simplify]: Simplify (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) into (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))))
7.076 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0) into (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)
7.076 * [backup-simplify]: Simplify (log (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)) into (log (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0))
7.077 * [backup-simplify]: Simplify (* 1/4 (log (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0))) into (* 1/4 (log (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)))
7.077 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)))) into (pow (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0) 1/4)
7.077 * [taylor]: Taking taylor expansion of (pow (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0) 1/4) in J
7.077 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)))) in J
7.077 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0))) in J
7.077 * [taylor]: Taking taylor expansion of 1/4 in J
7.077 * [backup-simplify]: Simplify 1/4 into 1/4
7.077 * [taylor]: Taking taylor expansion of (log (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)) in J
7.077 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0) in J
7.077 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) in J
7.077 * [taylor]: Taking taylor expansion of 0.25 in J
7.077 * [backup-simplify]: Simplify 0.25 into 0.25
7.077 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) in J
7.077 * [taylor]: Taking taylor expansion of (pow J 2) in J
7.077 * [taylor]: Taking taylor expansion of J in J
7.077 * [backup-simplify]: Simplify 0 into 0
7.077 * [backup-simplify]: Simplify 1 into 1
7.077 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -0.5 K)) 2) (pow U 2)) in J
7.077 * [taylor]: Taking taylor expansion of (pow (cos (/ -0.5 K)) 2) in J
7.077 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in J
7.077 * [taylor]: Taking taylor expansion of (/ -0.5 K) in J
7.077 * [taylor]: Taking taylor expansion of -0.5 in J
7.077 * [backup-simplify]: Simplify -0.5 into -0.5
7.077 * [taylor]: Taking taylor expansion of K in J
7.077 * [backup-simplify]: Simplify K into K
7.077 * [backup-simplify]: Simplify (/ -0.5 K) into (/ -0.5 K)
7.077 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
7.078 * [backup-simplify]: Simplify (sin (/ -0.5 K)) into (sin (/ -0.5 K))
7.078 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
7.078 * [backup-simplify]: Simplify (* (sin (/ -0.5 K)) 0) into 0
7.078 * [backup-simplify]: Simplify (- 0) into 0
7.078 * [backup-simplify]: Simplify (+ (cos (/ -0.5 K)) 0) into (cos (/ -0.5 K))
7.078 * [taylor]: Taking taylor expansion of (pow U 2) in J
7.078 * [taylor]: Taking taylor expansion of U in J
7.078 * [backup-simplify]: Simplify U into U
7.079 * [backup-simplify]: Simplify (* 1 1) into 1
7.079 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) (cos (/ -0.5 K))) into (pow (cos (/ -0.5 K)) 2)
7.079 * [backup-simplify]: Simplify (* U U) into (pow U 2)
7.079 * [backup-simplify]: Simplify (* (pow (cos (/ -0.5 K)) 2) (pow U 2)) into (* (pow (cos (/ -0.5 K)) 2) (pow U 2))
7.079 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))
7.079 * [taylor]: Taking taylor expansion of 1.0 in J
7.079 * [backup-simplify]: Simplify 1.0 into 1.0
7.079 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
7.080 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
7.080 * [backup-simplify]: Simplify (* 1/4 (log 1.0)) into (* 1/4 (log 1.0))
7.081 * [backup-simplify]: Simplify (exp (* 1/4 (log 1.0))) into (pow 1.0 1/4)
7.081 * [taylor]: Taking taylor expansion of (pow (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0) 1/4) in U
7.081 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)))) in U
7.081 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0))) in U
7.081 * [taylor]: Taking taylor expansion of 1/4 in U
7.081 * [backup-simplify]: Simplify 1/4 into 1/4
7.081 * [taylor]: Taking taylor expansion of (log (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)) in U
7.081 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0) in U
7.081 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) in U
7.081 * [taylor]: Taking taylor expansion of 0.25 in U
7.081 * [backup-simplify]: Simplify 0.25 into 0.25
7.081 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) in U
7.081 * [taylor]: Taking taylor expansion of (pow J 2) in U
7.081 * [taylor]: Taking taylor expansion of J in U
7.081 * [backup-simplify]: Simplify J into J
7.081 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -0.5 K)) 2) (pow U 2)) in U
7.081 * [taylor]: Taking taylor expansion of (pow (cos (/ -0.5 K)) 2) in U
7.081 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in U
7.082 * [taylor]: Taking taylor expansion of (/ -0.5 K) in U
7.082 * [taylor]: Taking taylor expansion of -0.5 in U
7.082 * [backup-simplify]: Simplify -0.5 into -0.5
7.082 * [taylor]: Taking taylor expansion of K in U
7.082 * [backup-simplify]: Simplify K into K
7.082 * [backup-simplify]: Simplify (/ -0.5 K) into (/ -0.5 K)
7.082 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
7.082 * [backup-simplify]: Simplify (sin (/ -0.5 K)) into (sin (/ -0.5 K))
7.082 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
7.082 * [backup-simplify]: Simplify (* (sin (/ -0.5 K)) 0) into 0
7.082 * [backup-simplify]: Simplify (- 0) into 0
7.082 * [backup-simplify]: Simplify (+ (cos (/ -0.5 K)) 0) into (cos (/ -0.5 K))
7.082 * [taylor]: Taking taylor expansion of (pow U 2) in U
7.082 * [taylor]: Taking taylor expansion of U in U
7.082 * [backup-simplify]: Simplify 0 into 0
7.082 * [backup-simplify]: Simplify 1 into 1
7.082 * [backup-simplify]: Simplify (* J J) into (pow J 2)
7.082 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) (cos (/ -0.5 K))) into (pow (cos (/ -0.5 K)) 2)
7.083 * [backup-simplify]: Simplify (* 1 1) into 1
7.083 * [backup-simplify]: Simplify (* (pow (cos (/ -0.5 K)) 2) 1) into (pow (cos (/ -0.5 K)) 2)
7.083 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)) into (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))
7.083 * [taylor]: Taking taylor expansion of 1.0 in U
7.083 * [backup-simplify]: Simplify 1.0 into 1.0
7.083 * [backup-simplify]: Simplify (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))) into (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))
7.083 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))) 0) into (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))
7.084 * [backup-simplify]: Simplify (log (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) into (log (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))))
7.084 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))))) into (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U)))
7.084 * [backup-simplify]: Simplify (* 1/4 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U))))
7.085 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U)))))
7.085 * [taylor]: Taking taylor expansion of (pow (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0) 1/4) in U
7.085 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)))) in U
7.085 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0))) in U
7.085 * [taylor]: Taking taylor expansion of 1/4 in U
7.085 * [backup-simplify]: Simplify 1/4 into 1/4
7.085 * [taylor]: Taking taylor expansion of (log (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)) in U
7.085 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0) in U
7.085 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) in U
7.085 * [taylor]: Taking taylor expansion of 0.25 in U
7.085 * [backup-simplify]: Simplify 0.25 into 0.25
7.085 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) in U
7.085 * [taylor]: Taking taylor expansion of (pow J 2) in U
7.085 * [taylor]: Taking taylor expansion of J in U
7.085 * [backup-simplify]: Simplify J into J
7.085 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -0.5 K)) 2) (pow U 2)) in U
7.085 * [taylor]: Taking taylor expansion of (pow (cos (/ -0.5 K)) 2) in U
7.085 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in U
7.085 * [taylor]: Taking taylor expansion of (/ -0.5 K) in U
7.085 * [taylor]: Taking taylor expansion of -0.5 in U
7.085 * [backup-simplify]: Simplify -0.5 into -0.5
7.085 * [taylor]: Taking taylor expansion of K in U
7.085 * [backup-simplify]: Simplify K into K
7.085 * [backup-simplify]: Simplify (/ -0.5 K) into (/ -0.5 K)
7.085 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
7.085 * [backup-simplify]: Simplify (sin (/ -0.5 K)) into (sin (/ -0.5 K))
7.085 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
7.085 * [backup-simplify]: Simplify (* (sin (/ -0.5 K)) 0) into 0
7.086 * [backup-simplify]: Simplify (- 0) into 0
7.086 * [backup-simplify]: Simplify (+ (cos (/ -0.5 K)) 0) into (cos (/ -0.5 K))
7.086 * [taylor]: Taking taylor expansion of (pow U 2) in U
7.086 * [taylor]: Taking taylor expansion of U in U
7.086 * [backup-simplify]: Simplify 0 into 0
7.086 * [backup-simplify]: Simplify 1 into 1
7.086 * [backup-simplify]: Simplify (* J J) into (pow J 2)
7.086 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) (cos (/ -0.5 K))) into (pow (cos (/ -0.5 K)) 2)
7.086 * [backup-simplify]: Simplify (* 1 1) into 1
7.086 * [backup-simplify]: Simplify (* (pow (cos (/ -0.5 K)) 2) 1) into (pow (cos (/ -0.5 K)) 2)
7.086 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)) into (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))
7.086 * [taylor]: Taking taylor expansion of 1.0 in U
7.086 * [backup-simplify]: Simplify 1.0 into 1.0
7.087 * [backup-simplify]: Simplify (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))) into (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))
7.087 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))) 0) into (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))
7.087 * [backup-simplify]: Simplify (log (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) into (log (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))))
7.088 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))))) into (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U)))
7.088 * [backup-simplify]: Simplify (* 1/4 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U))))
7.088 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U)))))
7.088 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U))))) in J
7.088 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U)))) in J
7.088 * [taylor]: Taking taylor expansion of 1/4 in J
7.088 * [backup-simplify]: Simplify 1/4 into 1/4
7.088 * [taylor]: Taking taylor expansion of (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U))) in J
7.088 * [taylor]: Taking taylor expansion of (log (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) in J
7.088 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))) in J
7.088 * [taylor]: Taking taylor expansion of 0.25 in J
7.088 * [backup-simplify]: Simplify 0.25 into 0.25
7.088 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)) in J
7.088 * [taylor]: Taking taylor expansion of (pow J 2) in J
7.088 * [taylor]: Taking taylor expansion of J in J
7.088 * [backup-simplify]: Simplify 0 into 0
7.088 * [backup-simplify]: Simplify 1 into 1
7.088 * [taylor]: Taking taylor expansion of (pow (cos (/ -0.5 K)) 2) in J
7.088 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in J
7.088 * [taylor]: Taking taylor expansion of (/ -0.5 K) in J
7.089 * [taylor]: Taking taylor expansion of -0.5 in J
7.089 * [backup-simplify]: Simplify -0.5 into -0.5
7.089 * [taylor]: Taking taylor expansion of K in J
7.089 * [backup-simplify]: Simplify K into K
7.089 * [backup-simplify]: Simplify (/ -0.5 K) into (/ -0.5 K)
7.089 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
7.089 * [backup-simplify]: Simplify (sin (/ -0.5 K)) into (sin (/ -0.5 K))
7.089 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
7.089 * [backup-simplify]: Simplify (* (sin (/ -0.5 K)) 0) into 0
7.089 * [backup-simplify]: Simplify (- 0) into 0
7.089 * [backup-simplify]: Simplify (+ (cos (/ -0.5 K)) 0) into (cos (/ -0.5 K))
7.089 * [backup-simplify]: Simplify (* 1 1) into 1
7.090 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) (cos (/ -0.5 K))) into (pow (cos (/ -0.5 K)) 2)
7.090 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -0.5 K)) 2)) into (/ 1 (pow (cos (/ -0.5 K)) 2))
7.090 * [backup-simplify]: Simplify (* 0.25 (/ 1 (pow (cos (/ -0.5 K)) 2))) into (/ 0.25 (pow (cos (/ -0.5 K)) 2))
7.090 * [backup-simplify]: Simplify (log (/ 0.25 (pow (cos (/ -0.5 K)) 2))) into (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))
7.090 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J
7.090 * [taylor]: Taking taylor expansion of 2 in J
7.090 * [backup-simplify]: Simplify 2 into 2
7.090 * [taylor]: Taking taylor expansion of (log U) in J
7.090 * [taylor]: Taking taylor expansion of U in J
7.090 * [backup-simplify]: Simplify U into U
7.090 * [backup-simplify]: Simplify (log U) into (log U)
7.090 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) into (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2))))
7.091 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U))
7.091 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U)))
7.091 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U)))
7.091 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U))))
7.091 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U)))))
7.091 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U))))) in K
7.091 * [taylor]: Taking taylor expansion of (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U)))) in K
7.091 * [taylor]: Taking taylor expansion of 1/4 in K
7.091 * [backup-simplify]: Simplify 1/4 into 1/4
7.092 * [taylor]: Taking taylor expansion of (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U))) in K
7.092 * [taylor]: Taking taylor expansion of (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) in K
7.092 * [taylor]: Taking taylor expansion of (* 2 (log J)) in K
7.092 * [taylor]: Taking taylor expansion of 2 in K
7.092 * [backup-simplify]: Simplify 2 into 2
7.092 * [taylor]: Taking taylor expansion of (log J) in K
7.092 * [taylor]: Taking taylor expansion of J in K
7.092 * [backup-simplify]: Simplify J into J
7.092 * [backup-simplify]: Simplify (log J) into (log J)
7.092 * [taylor]: Taking taylor expansion of (log (/ 0.25 (pow (cos (/ -0.5 K)) 2))) in K
7.092 * [taylor]: Taking taylor expansion of (/ 0.25 (pow (cos (/ -0.5 K)) 2)) in K
7.092 * [taylor]: Taking taylor expansion of 0.25 in K
7.092 * [backup-simplify]: Simplify 0.25 into 0.25
7.092 * [taylor]: Taking taylor expansion of (pow (cos (/ -0.5 K)) 2) in K
7.092 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in K
7.092 * [taylor]: Taking taylor expansion of (/ -0.5 K) in K
7.092 * [taylor]: Taking taylor expansion of -0.5 in K
7.092 * [backup-simplify]: Simplify -0.5 into -0.5
7.092 * [taylor]: Taking taylor expansion of K in K
7.092 * [backup-simplify]: Simplify 0 into 0
7.092 * [backup-simplify]: Simplify 1 into 1
7.092 * [backup-simplify]: Simplify (/ -0.5 1) into -0.5
7.093 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
7.093 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) (cos (/ -0.5 K))) into (pow (cos (/ -0.5 K)) 2)
7.093 * [backup-simplify]: Simplify (/ 0.25 (pow (cos (/ -0.5 K)) 2)) into (/ 0.25 (pow (cos (/ -0.5 K)) 2))
7.093 * [backup-simplify]: Simplify (log (/ 0.25 (pow (cos (/ -0.5 K)) 2))) into (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))
7.093 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K
7.093 * [taylor]: Taking taylor expansion of 2 in K
7.093 * [backup-simplify]: Simplify 2 into 2
7.093 * [taylor]: Taking taylor expansion of (log U) in K
7.093 * [taylor]: Taking taylor expansion of U in K
7.093 * [backup-simplify]: Simplify U into U
7.093 * [backup-simplify]: Simplify (log U) into (log U)
7.093 * [backup-simplify]: Simplify (* 2 (log J)) into (* 2 (log J))
7.094 * [backup-simplify]: Simplify (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) into (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2))))
7.094 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U))
7.094 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U)))
7.094 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U)))
7.095 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U))))
7.095 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U)))))
7.096 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U)))))
7.096 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
7.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.097 * [backup-simplify]: Simplify (+ 0) into 0
7.098 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 1)) into 0
7.098 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)))) into 0
7.099 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.099 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (* 0 0)) into 0
7.100 * [backup-simplify]: Simplify (- 0) into 0
7.101 * [backup-simplify]: Simplify (+ 0 0) into 0
7.101 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 (cos (/ -0.5 K)))) into 0
7.102 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -0.5 K)) 2) 0) (* 0 1)) into 0
7.102 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -0.5 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)) (/ 0 (pow (cos (/ -0.5 K)) 2))))) into 0
7.103 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) into 0
7.103 * [backup-simplify]: Simplify (+ 0 0) into 0
7.105 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))) 1)))) 1) into 0
7.105 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))))) into (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U)))
7.106 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U))))) into 0
7.108 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0
7.108 * [taylor]: Taking taylor expansion of 0 in J
7.108 * [backup-simplify]: Simplify 0 into 0
7.108 * [taylor]: Taking taylor expansion of 0 in K
7.108 * [backup-simplify]: Simplify 0 into 0
7.108 * [backup-simplify]: Simplify 0 into 0
7.109 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.109 * [backup-simplify]: Simplify (+ 0) into 0
7.110 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 1)) into 0
7.110 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)))) into 0
7.111 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.111 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (* 0 0)) into 0
7.112 * [backup-simplify]: Simplify (- 0) into 0
7.112 * [backup-simplify]: Simplify (+ 0 0) into 0
7.112 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 (cos (/ -0.5 K)))) into 0
7.113 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -0.5 K)) 2)) (+ (* (/ 1 (pow (cos (/ -0.5 K)) 2)) (/ 0 (pow (cos (/ -0.5 K)) 2))))) into 0
7.114 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ 1 (pow (cos (/ -0.5 K)) 2)))) into 0
7.115 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 0.25 (pow (cos (/ -0.5 K)) 2)) 1)))) 1) into 0
7.115 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0
7.116 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0
7.116 * [backup-simplify]: Simplify (- 0) into 0
7.117 * [backup-simplify]: Simplify (+ 0 0) into 0
7.118 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U))))) into 0
7.119 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0
7.119 * [taylor]: Taking taylor expansion of 0 in K
7.119 * [backup-simplify]: Simplify 0 into 0
7.119 * [backup-simplify]: Simplify 0 into 0
7.120 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0
7.120 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log J))) into 0
7.121 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 (cos (/ -0.5 K)))) into 0
7.121 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -0.5 K)) 2)) (+ (* (/ 0.25 (pow (cos (/ -0.5 K)) 2)) (/ 0 (pow (cos (/ -0.5 K)) 2))))) into 0
7.122 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 0.25 (pow (cos (/ -0.5 K)) 2)) 1)))) 1) into 0
7.122 * [backup-simplify]: Simplify (+ 0 0) into 0
7.123 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0
7.124 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0
7.124 * [backup-simplify]: Simplify (- 0) into 0
7.125 * [backup-simplify]: Simplify (+ 0 0) into 0
7.126 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U))))) into 0
7.127 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0
7.127 * [backup-simplify]: Simplify 0 into 0
7.127 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
7.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.129 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.130 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (+ (* 0 0) (* 0 1))) into 0
7.130 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
7.131 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.132 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (+ (* 0 0) (* 0 0))) into 0
7.132 * [backup-simplify]: Simplify (- 0) into 0
7.132 * [backup-simplify]: Simplify (+ 0 0) into 0
7.133 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (+ (* 0 0) (* 0 (cos (/ -0.5 K))))) into 0
7.134 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -0.5 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
7.135 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -0.5 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)) (/ 0 (pow (cos (/ -0.5 K)) 2))) (* 0 (/ 0 (pow (cos (/ -0.5 K)) 2))))) into 0
7.136 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))))) into 0
7.137 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
7.140 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 1.0) 1)) (pow (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))) 1)))) 2) into (* 4.0 (/ (pow (cos (/ -0.5 K)) 2) (pow J 2)))
7.141 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))))) into (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U)))
7.142 * [backup-simplify]: Simplify (+ (* 1/4 (* 4.0 (/ (pow (cos (/ -0.5 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U)))))) into (* 1.0 (/ (pow (cos (/ -0.5 K)) 2) (pow J 2)))
7.144 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1.0 (/ (pow (cos (/ -0.5 K)) 2) (pow J 2))) 1) 1)))) into (* 1.0 (/ (* (exp (* 1/4 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U))))) (pow (cos (/ -0.5 K)) 2)) (pow J 2)))
7.144 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (exp (* 1/4 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U))))) (pow (cos (/ -0.5 K)) 2)) (pow J 2))) in J
7.144 * [taylor]: Taking taylor expansion of 1.0 in J
7.144 * [backup-simplify]: Simplify 1.0 into 1.0
7.144 * [taylor]: Taking taylor expansion of (/ (* (exp (* 1/4 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U))))) (pow (cos (/ -0.5 K)) 2)) (pow J 2)) in J
7.145 * [taylor]: Taking taylor expansion of (* (exp (* 1/4 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U))))) (pow (cos (/ -0.5 K)) 2)) in J
7.145 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U))))) in J
7.145 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U)))) in J
7.145 * [taylor]: Taking taylor expansion of 1/4 in J
7.145 * [backup-simplify]: Simplify 1/4 into 1/4
7.145 * [taylor]: Taking taylor expansion of (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U))) in J
7.145 * [taylor]: Taking taylor expansion of (log (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) in J
7.145 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))) in J
7.145 * [taylor]: Taking taylor expansion of 0.25 in J
7.145 * [backup-simplify]: Simplify 0.25 into 0.25
7.145 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)) in J
7.145 * [taylor]: Taking taylor expansion of (pow J 2) in J
7.145 * [taylor]: Taking taylor expansion of J in J
7.145 * [backup-simplify]: Simplify 0 into 0
7.145 * [backup-simplify]: Simplify 1 into 1
7.145 * [taylor]: Taking taylor expansion of (pow (cos (/ -0.5 K)) 2) in J
7.145 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in J
7.145 * [taylor]: Taking taylor expansion of (/ -0.5 K) in J
7.145 * [taylor]: Taking taylor expansion of -0.5 in J
7.145 * [backup-simplify]: Simplify -0.5 into -0.5
7.145 * [taylor]: Taking taylor expansion of K in J
7.145 * [backup-simplify]: Simplify K into K
7.145 * [backup-simplify]: Simplify (/ -0.5 K) into (/ -0.5 K)
7.145 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
7.145 * [backup-simplify]: Simplify (sin (/ -0.5 K)) into (sin (/ -0.5 K))
7.146 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
7.146 * [backup-simplify]: Simplify (* (sin (/ -0.5 K)) 0) into 0
7.146 * [backup-simplify]: Simplify (- 0) into 0
7.146 * [backup-simplify]: Simplify (+ (cos (/ -0.5 K)) 0) into (cos (/ -0.5 K))
7.147 * [backup-simplify]: Simplify (* 1 1) into 1
7.147 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) (cos (/ -0.5 K))) into (pow (cos (/ -0.5 K)) 2)
7.147 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -0.5 K)) 2)) into (/ 1 (pow (cos (/ -0.5 K)) 2))
7.147 * [backup-simplify]: Simplify (* 0.25 (/ 1 (pow (cos (/ -0.5 K)) 2))) into (/ 0.25 (pow (cos (/ -0.5 K)) 2))
7.148 * [backup-simplify]: Simplify (log (/ 0.25 (pow (cos (/ -0.5 K)) 2))) into (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))
7.148 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J
7.148 * [taylor]: Taking taylor expansion of 2 in J
7.148 * [backup-simplify]: Simplify 2 into 2
7.148 * [taylor]: Taking taylor expansion of (log U) in J
7.148 * [taylor]: Taking taylor expansion of U in J
7.148 * [backup-simplify]: Simplify U into U
7.148 * [backup-simplify]: Simplify (log U) into (log U)
7.148 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) into (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2))))
7.149 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U))
7.149 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U)))
7.149 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U)))
7.150 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U))))
7.150 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U)))))
7.150 * [taylor]: Taking taylor expansion of (pow (cos (/ -0.5 K)) 2) in J
7.150 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in J
7.150 * [taylor]: Taking taylor expansion of (/ -0.5 K) in J
7.150 * [taylor]: Taking taylor expansion of -0.5 in J
7.150 * [backup-simplify]: Simplify -0.5 into -0.5
7.150 * [taylor]: Taking taylor expansion of K in J
7.150 * [backup-simplify]: Simplify K into K
7.150 * [backup-simplify]: Simplify (/ -0.5 K) into (/ -0.5 K)
7.151 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
7.151 * [backup-simplify]: Simplify (sin (/ -0.5 K)) into (sin (/ -0.5 K))
7.151 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
7.151 * [backup-simplify]: Simplify (* (sin (/ -0.5 K)) 0) into 0
7.151 * [backup-simplify]: Simplify (- 0) into 0
7.151 * [backup-simplify]: Simplify (+ (cos (/ -0.5 K)) 0) into (cos (/ -0.5 K))
7.151 * [taylor]: Taking taylor expansion of (pow J 2) in J
7.151 * [taylor]: Taking taylor expansion of J in J
7.152 * [backup-simplify]: Simplify 0 into 0
7.152 * [backup-simplify]: Simplify 1 into 1
7.152 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) (cos (/ -0.5 K))) into (pow (cos (/ -0.5 K)) 2)
7.152 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U))))) (pow (cos (/ -0.5 K)) 2)) into (* (pow (cos (/ -0.5 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U))))))
7.152 * [backup-simplify]: Simplify (* 1 1) into 1
7.153 * [backup-simplify]: Simplify (/ (* (pow (cos (/ -0.5 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U)))))) 1) into (* (pow (cos (/ -0.5 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U))))))
7.153 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)))) into 0
7.153 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.154 * [backup-simplify]: Simplify (+ 0) into 0
7.154 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (+ (* 0 0) (* 0 1))) into 0
7.154 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
7.155 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.155 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.155 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (+ (* 0 0) (* 0 0))) into 0
7.156 * [backup-simplify]: Simplify (- 0) into 0
7.156 * [backup-simplify]: Simplify (+ 0 0) into 0
7.156 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 1)) into 0
7.157 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (* 0 0)) into 0
7.157 * [backup-simplify]: Simplify (- 0) into 0
7.157 * [backup-simplify]: Simplify (+ 0 0) into 0
7.157 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (+ (* 0 0) (* 0 (cos (/ -0.5 K))))) into 0
7.158 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.158 * [backup-simplify]: Simplify (+ 0) into 0
7.158 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 1)) into 0
7.159 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)))) into 0
7.159 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.159 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (* 0 0)) into 0
7.160 * [backup-simplify]: Simplify (- 0) into 0
7.160 * [backup-simplify]: Simplify (+ 0 0) into 0
7.160 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 (cos (/ -0.5 K)))) into 0
7.160 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -0.5 K)) 2)) (+ (* (/ 1 (pow (cos (/ -0.5 K)) 2)) (/ 0 (pow (cos (/ -0.5 K)) 2))))) into 0
7.161 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ 1 (pow (cos (/ -0.5 K)) 2)))) into 0
7.161 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 0.25 (pow (cos (/ -0.5 K)) 2)) 1)))) 1) into 0
7.162 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0
7.162 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0
7.162 * [backup-simplify]: Simplify (- 0) into 0
7.163 * [backup-simplify]: Simplify (+ 0 0) into 0
7.163 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U))))) into 0
7.164 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0
7.164 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 (cos (/ -0.5 K)))) into 0
7.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.165 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.166 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (+ (* 0 0) (* 0 1))) into 0
7.166 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
7.166 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.167 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (+ (* 0 0) (* 0 0))) into 0
7.167 * [backup-simplify]: Simplify (- 0) into 0
7.167 * [backup-simplify]: Simplify (+ 0 0) into 0
7.167 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (+ (* 0 0) (* 0 (cos (/ -0.5 K))))) into 0
7.168 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -0.5 K)) 2)) (+ (* (/ 1 (pow (cos (/ -0.5 K)) 2)) (/ 0 (pow (cos (/ -0.5 K)) 2))) (* 0 (/ 0 (pow (cos (/ -0.5 K)) 2))))) into 0
7.168 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -0.5 K)) 2))))) into 0
7.170 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 0.25 (pow (cos (/ -0.5 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 0.25 (pow (cos (/ -0.5 K)) 2)) 1)))) 2) into 0
7.171 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0
7.171 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0
7.172 * [backup-simplify]: Simplify (- 0) into 0
7.172 * [backup-simplify]: Simplify (+ 0 0) into 0
7.173 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U)))))) into 0
7.174 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
7.174 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U))))) 0) (+ (* 0 0) (* 0 (pow (cos (/ -0.5 K)) 2)))) into 0
7.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.175 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U))))) 0) (* 0 (pow (cos (/ -0.5 K)) 2))) into 0
7.176 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.177 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -0.5 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U)))))) (/ 0 1)))) into 0
7.178 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -0.5 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U)))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.179 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (* (pow (cos (/ -0.5 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U))))))))) into 0
7.179 * [taylor]: Taking taylor expansion of 0 in K
7.179 * [backup-simplify]: Simplify 0 into 0
7.179 * [backup-simplify]: Simplify 0 into 0
7.179 * [taylor]: Taking taylor expansion of 0 in K
7.179 * [backup-simplify]: Simplify 0 into 0
7.179 * [backup-simplify]: Simplify 0 into 0
7.179 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.180 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.180 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (+ (* 0 0) (* 0 1))) into 0
7.181 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
7.181 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.181 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (+ (* 0 0) (* 0 0))) into 0
7.182 * [backup-simplify]: Simplify (- 0) into 0
7.182 * [backup-simplify]: Simplify (+ 0 0) into 0
7.182 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (+ (* 0 0) (* 0 (cos (/ -0.5 K))))) into 0
7.183 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -0.5 K)) 2)) (+ (* (/ 1 (pow (cos (/ -0.5 K)) 2)) (/ 0 (pow (cos (/ -0.5 K)) 2))) (* 0 (/ 0 (pow (cos (/ -0.5 K)) 2))))) into 0
7.183 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -0.5 K)) 2))))) into 0
7.184 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 0.25 (pow (cos (/ -0.5 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 0.25 (pow (cos (/ -0.5 K)) 2)) 1)))) 2) into 0
7.186 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0
7.186 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0
7.186 * [backup-simplify]: Simplify (- 0) into 0
7.187 * [backup-simplify]: Simplify (+ 0 0) into 0
7.187 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U)))))) into 0
7.188 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
7.189 * [taylor]: Taking taylor expansion of 0 in K
7.189 * [backup-simplify]: Simplify 0 into 0
7.189 * [backup-simplify]: Simplify 0 into 0
7.189 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log (/ 1 (- J)))) (log (/ 0.25 (pow (cos (/ -0.5 (/ 1 (- K)))) 2)))) (* 2 (log (/ 1 (- U))))))) into (exp (* 1/4 (- (+ (log (/ 0.25 (pow (cos (* 0.5 K)) 2))) (* 2 (log (/ -1 J)))) (* 2 (log (/ -1 U))))))
7.189 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1)
7.189 * [backup-simplify]: Simplify (sqrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))) into (pow (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0) 1/4)
7.189 * [approximate]: Taking taylor expansion of (pow (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0) 1/4) in (U J K) around 0
7.189 * [taylor]: Taking taylor expansion of (pow (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0) 1/4) in K
7.189 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0)))) in K
7.189 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0))) in K
7.189 * [taylor]: Taking taylor expansion of 1/4 in K
7.190 * [backup-simplify]: Simplify 1/4 into 1/4
7.190 * [taylor]: Taking taylor expansion of (log (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0)) in K
7.190 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0) in K
7.190 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) in K
7.190 * [taylor]: Taking taylor expansion of 0.25 in K
7.190 * [backup-simplify]: Simplify 0.25 into 0.25
7.190 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2))) in K
7.190 * [taylor]: Taking taylor expansion of (pow U 2) in K
7.190 * [taylor]: Taking taylor expansion of U in K
7.190 * [backup-simplify]: Simplify U into U
7.190 * [taylor]: Taking taylor expansion of (* (pow J 2) (pow (cos (* 0.5 K)) 2)) in K
7.190 * [taylor]: Taking taylor expansion of (pow J 2) in K
7.190 * [taylor]: Taking taylor expansion of J in K
7.190 * [backup-simplify]: Simplify J into J
7.190 * [taylor]: Taking taylor expansion of (pow (cos (* 0.5 K)) 2) in K
7.190 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in K
7.190 * [taylor]: Taking taylor expansion of (* 0.5 K) in K
7.190 * [taylor]: Taking taylor expansion of 0.5 in K
7.190 * [backup-simplify]: Simplify 0.5 into 0.5
7.190 * [taylor]: Taking taylor expansion of K in K
7.190 * [backup-simplify]: Simplify 0 into 0
7.190 * [backup-simplify]: Simplify 1 into 1
7.190 * [backup-simplify]: Simplify (* 0.5 0) into 0
7.191 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5
7.191 * [backup-simplify]: Simplify (* U U) into (pow U 2)
7.191 * [backup-simplify]: Simplify (* J J) into (pow J 2)
7.191 * [backup-simplify]: Simplify (* 1 1) into 1
7.192 * [backup-simplify]: Simplify (* (pow J 2) 1) into (pow J 2)
7.192 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
7.192 * [taylor]: Taking taylor expansion of 1.0 in K
7.192 * [backup-simplify]: Simplify 1.0 into 1.0
7.192 * [backup-simplify]: Simplify (* 0.25 (/ (pow U 2) (pow J 2))) into (* 0.25 (/ (pow U 2) (pow J 2)))
7.192 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow U 2) (pow J 2))) 1.0) into (+ (* 0.25 (/ (pow U 2) (pow J 2))) 1.0)
7.192 * [backup-simplify]: Simplify (log (+ (* 0.25 (/ (pow U 2) (pow J 2))) 1.0)) into (log (+ (* 0.25 (/ (pow U 2) (pow J 2))) 1.0))
7.193 * [backup-simplify]: Simplify (* 1/4 (log (+ (* 0.25 (/ (pow U 2) (pow J 2))) 1.0))) into (* 1/4 (log (+ (* 0.25 (/ (pow U 2) (pow J 2))) 1.0)))
7.193 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ (* 0.25 (/ (pow U 2) (pow J 2))) 1.0)))) into (pow (+ (* 0.25 (/ (pow U 2) (pow J 2))) 1.0) 1/4)
7.193 * [taylor]: Taking taylor expansion of (pow (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0) 1/4) in J
7.193 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0)))) in J
7.193 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0))) in J
7.193 * [taylor]: Taking taylor expansion of 1/4 in J
7.193 * [backup-simplify]: Simplify 1/4 into 1/4
7.193 * [taylor]: Taking taylor expansion of (log (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0)) in J
7.193 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0) in J
7.193 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) in J
7.193 * [taylor]: Taking taylor expansion of 0.25 in J
7.193 * [backup-simplify]: Simplify 0.25 into 0.25
7.193 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2))) in J
7.193 * [taylor]: Taking taylor expansion of (pow U 2) in J
7.193 * [taylor]: Taking taylor expansion of U in J
7.193 * [backup-simplify]: Simplify U into U
7.193 * [taylor]: Taking taylor expansion of (* (pow J 2) (pow (cos (* 0.5 K)) 2)) in J
7.193 * [taylor]: Taking taylor expansion of (pow J 2) in J
7.193 * [taylor]: Taking taylor expansion of J in J
7.193 * [backup-simplify]: Simplify 0 into 0
7.193 * [backup-simplify]: Simplify 1 into 1
7.193 * [taylor]: Taking taylor expansion of (pow (cos (* 0.5 K)) 2) in J
7.193 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in J
7.193 * [taylor]: Taking taylor expansion of (* 0.5 K) in J
7.193 * [taylor]: Taking taylor expansion of 0.5 in J
7.193 * [backup-simplify]: Simplify 0.5 into 0.5
7.193 * [taylor]: Taking taylor expansion of K in J
7.193 * [backup-simplify]: Simplify K into K
7.193 * [backup-simplify]: Simplify (* 0.5 K) into (* 0.5 K)
7.193 * [backup-simplify]: Simplify (cos (* 0.5 K)) into (cos (* 0.5 K))
7.193 * [backup-simplify]: Simplify (sin (* 0.5 K)) into (sin (* 0.5 K))
7.193 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) 1) into (cos (* 0.5 K))
7.194 * [backup-simplify]: Simplify (* (sin (* 0.5 K)) 0) into 0
7.194 * [backup-simplify]: Simplify (- 0) into 0
7.194 * [backup-simplify]: Simplify (+ (cos (* 0.5 K)) 0) into (cos (* 0.5 K))
7.194 * [backup-simplify]: Simplify (* U U) into (pow U 2)
7.194 * [backup-simplify]: Simplify (* 1 1) into 1
7.194 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) (cos (* 0.5 K))) into (pow (cos (* 0.5 K)) 2)
7.194 * [backup-simplify]: Simplify (* 1 (pow (cos (* 0.5 K)) 2)) into (pow (cos (* 0.5 K)) 2)
7.195 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 0.5 K)) 2)) into (/ (pow U 2) (pow (cos (* 0.5 K)) 2))
7.195 * [taylor]: Taking taylor expansion of 1.0 in J
7.195 * [backup-simplify]: Simplify 1.0 into 1.0
7.195 * [backup-simplify]: Simplify (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2))) into (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2)))
7.195 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2))) 0) into (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2)))
7.195 * [backup-simplify]: Simplify (log (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2)))) into (log (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2))))
7.197 * [backup-simplify]: Simplify (+ (* (- 2) (log J)) (log (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2))))) into (- (log (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2)))) (* 2 (log J)))
7.198 * [backup-simplify]: Simplify (* 1/4 (- (log (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2)))) (* 2 (log J)))) into (* 1/4 (- (log (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2)))) (* 2 (log J))))
7.198 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2)))) (* 2 (log J))))) into (exp (* 1/4 (- (log (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2)))) (* 2 (log J)))))
7.198 * [taylor]: Taking taylor expansion of (pow (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0) 1/4) in U
7.198 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0)))) in U
7.198 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0))) in U
7.198 * [taylor]: Taking taylor expansion of 1/4 in U
7.198 * [backup-simplify]: Simplify 1/4 into 1/4
7.198 * [taylor]: Taking taylor expansion of (log (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0)) in U
7.198 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0) in U
7.198 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) in U
7.198 * [taylor]: Taking taylor expansion of 0.25 in U
7.198 * [backup-simplify]: Simplify 0.25 into 0.25
7.198 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2))) in U
7.198 * [taylor]: Taking taylor expansion of (pow U 2) in U
7.198 * [taylor]: Taking taylor expansion of U in U
7.198 * [backup-simplify]: Simplify 0 into 0
7.198 * [backup-simplify]: Simplify 1 into 1
7.198 * [taylor]: Taking taylor expansion of (* (pow J 2) (pow (cos (* 0.5 K)) 2)) in U
7.198 * [taylor]: Taking taylor expansion of (pow J 2) in U
7.198 * [taylor]: Taking taylor expansion of J in U
7.198 * [backup-simplify]: Simplify J into J
7.198 * [taylor]: Taking taylor expansion of (pow (cos (* 0.5 K)) 2) in U
7.198 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in U
7.198 * [taylor]: Taking taylor expansion of (* 0.5 K) in U
7.198 * [taylor]: Taking taylor expansion of 0.5 in U
7.199 * [backup-simplify]: Simplify 0.5 into 0.5
7.199 * [taylor]: Taking taylor expansion of K in U
7.199 * [backup-simplify]: Simplify K into K
7.199 * [backup-simplify]: Simplify (* 0.5 K) into (* 0.5 K)
7.199 * [backup-simplify]: Simplify (cos (* 0.5 K)) into (cos (* 0.5 K))
7.199 * [backup-simplify]: Simplify (sin (* 0.5 K)) into (sin (* 0.5 K))
7.199 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) 1) into (cos (* 0.5 K))
7.199 * [backup-simplify]: Simplify (* (sin (* 0.5 K)) 0) into 0
7.199 * [backup-simplify]: Simplify (- 0) into 0
7.199 * [backup-simplify]: Simplify (+ (cos (* 0.5 K)) 0) into (cos (* 0.5 K))
7.199 * [backup-simplify]: Simplify (* 1 1) into 1
7.200 * [backup-simplify]: Simplify (* J J) into (pow J 2)
7.200 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) (cos (* 0.5 K))) into (pow (cos (* 0.5 K)) 2)
7.200 * [backup-simplify]: Simplify (* (pow J 2) (pow (cos (* 0.5 K)) 2)) into (* (pow J 2) (pow (cos (* 0.5 K)) 2))
7.200 * [backup-simplify]: Simplify (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2))) into (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2)))
7.200 * [taylor]: Taking taylor expansion of 1.0 in U
7.200 * [backup-simplify]: Simplify 1.0 into 1.0
7.200 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
7.201 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
7.201 * [backup-simplify]: Simplify (* 1/4 (log 1.0)) into (* 1/4 (log 1.0))
7.202 * [backup-simplify]: Simplify (exp (* 1/4 (log 1.0))) into (pow 1.0 1/4)
7.202 * [taylor]: Taking taylor expansion of (pow (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0) 1/4) in U
7.202 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0)))) in U
7.202 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0))) in U
7.202 * [taylor]: Taking taylor expansion of 1/4 in U
7.202 * [backup-simplify]: Simplify 1/4 into 1/4
7.202 * [taylor]: Taking taylor expansion of (log (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0)) in U
7.202 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0) in U
7.202 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) in U
7.202 * [taylor]: Taking taylor expansion of 0.25 in U
7.202 * [backup-simplify]: Simplify 0.25 into 0.25
7.202 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2))) in U
7.202 * [taylor]: Taking taylor expansion of (pow U 2) in U
7.202 * [taylor]: Taking taylor expansion of U in U
7.202 * [backup-simplify]: Simplify 0 into 0
7.202 * [backup-simplify]: Simplify 1 into 1
7.202 * [taylor]: Taking taylor expansion of (* (pow J 2) (pow (cos (* 0.5 K)) 2)) in U
7.202 * [taylor]: Taking taylor expansion of (pow J 2) in U
7.202 * [taylor]: Taking taylor expansion of J in U
7.202 * [backup-simplify]: Simplify J into J
7.202 * [taylor]: Taking taylor expansion of (pow (cos (* 0.5 K)) 2) in U
7.202 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in U
7.202 * [taylor]: Taking taylor expansion of (* 0.5 K) in U
7.202 * [taylor]: Taking taylor expansion of 0.5 in U
7.202 * [backup-simplify]: Simplify 0.5 into 0.5
7.202 * [taylor]: Taking taylor expansion of K in U
7.202 * [backup-simplify]: Simplify K into K
7.203 * [backup-simplify]: Simplify (* 0.5 K) into (* 0.5 K)
7.203 * [backup-simplify]: Simplify (cos (* 0.5 K)) into (cos (* 0.5 K))
7.203 * [backup-simplify]: Simplify (sin (* 0.5 K)) into (sin (* 0.5 K))
7.203 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) 1) into (cos (* 0.5 K))
7.203 * [backup-simplify]: Simplify (* (sin (* 0.5 K)) 0) into 0
7.203 * [backup-simplify]: Simplify (- 0) into 0
7.203 * [backup-simplify]: Simplify (+ (cos (* 0.5 K)) 0) into (cos (* 0.5 K))
7.203 * [backup-simplify]: Simplify (* 1 1) into 1
7.203 * [backup-simplify]: Simplify (* J J) into (pow J 2)
7.203 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) (cos (* 0.5 K))) into (pow (cos (* 0.5 K)) 2)
7.204 * [backup-simplify]: Simplify (* (pow J 2) (pow (cos (* 0.5 K)) 2)) into (* (pow J 2) (pow (cos (* 0.5 K)) 2))
7.204 * [backup-simplify]: Simplify (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2))) into (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2)))
7.204 * [taylor]: Taking taylor expansion of 1.0 in U
7.204 * [backup-simplify]: Simplify 1.0 into 1.0
7.204 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
7.205 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
7.206 * [backup-simplify]: Simplify (* 1/4 (log 1.0)) into (* 1/4 (log 1.0))
7.207 * [backup-simplify]: Simplify (exp (* 1/4 (log 1.0))) into (pow 1.0 1/4)
7.207 * [taylor]: Taking taylor expansion of (pow 1.0 1/4) in J
7.207 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log 1.0))) in J
7.207 * [taylor]: Taking taylor expansion of (* 1/4 (log 1.0)) in J
7.207 * [taylor]: Taking taylor expansion of 1/4 in J
7.207 * [backup-simplify]: Simplify 1/4 into 1/4
7.207 * [taylor]: Taking taylor expansion of (log 1.0) in J
7.208 * [taylor]: Taking taylor expansion of 1.0 in J
7.208 * [backup-simplify]: Simplify 1.0 into 1.0
7.208 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
7.209 * [backup-simplify]: Simplify (* 1/4 (log 1.0)) into (* 1/4 (log 1.0))
7.211 * [backup-simplify]: Simplify (exp (* 1/4 (log 1.0))) into (pow 1.0 1/4)
7.211 * [taylor]: Taking taylor expansion of (pow 1.0 1/4) in K
7.211 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log 1.0))) in K
7.211 * [taylor]: Taking taylor expansion of (* 1/4 (log 1.0)) in K
7.211 * [taylor]: Taking taylor expansion of 1/4 in K
7.211 * [backup-simplify]: Simplify 1/4 into 1/4
7.211 * [taylor]: Taking taylor expansion of (log 1.0) in K
7.211 * [taylor]: Taking taylor expansion of 1.0 in K
7.211 * [backup-simplify]: Simplify 1.0 into 1.0
7.211 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
7.212 * [backup-simplify]: Simplify (* 1/4 (log 1.0)) into (* 1/4 (log 1.0))
7.214 * [backup-simplify]: Simplify (exp (* 1/4 (log 1.0))) into (pow 1.0 1/4)
7.214 * [backup-simplify]: Simplify (pow 1.0 1/4) into (pow 1.0 1/4)
7.215 * [backup-simplify]: Simplify (+ 0 0) into 0
7.216 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1.0 1)))) 1) into 0
7.217 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log 1.0))) into 0
7.219 * [backup-simplify]: Simplify (* (exp (* 1/4 (log 1.0))) (+ (* (/ (pow 0 1) 1)))) into 0
7.219 * [taylor]: Taking taylor expansion of 0 in J
7.219 * [backup-simplify]: Simplify 0 into 0
7.219 * [taylor]: Taking taylor expansion of 0 in K
7.219 * [backup-simplify]: Simplify 0 into 0
7.219 * [backup-simplify]: Simplify 0 into 0
7.221 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1.0 1)))) 1) into 0
7.222 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log 1.0))) into 0
7.223 * [backup-simplify]: Simplify (* (exp (* 1/4 (log 1.0))) (+ (* (/ (pow 0 1) 1)))) into 0
7.223 * [taylor]: Taking taylor expansion of 0 in K
7.223 * [backup-simplify]: Simplify 0 into 0
7.223 * [backup-simplify]: Simplify 0 into 0
7.225 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1.0 1)))) 1) into 0
7.225 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log 1.0))) into 0
7.227 * [backup-simplify]: Simplify (* (exp (* 1/4 (log 1.0))) (+ (* (/ (pow 0 1) 1)))) into 0
7.227 * [backup-simplify]: Simplify 0 into 0
7.228 * [backup-simplify]: Simplify (* 0.25 (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) into (/ 0.25 (* (pow J 2) (pow (cos (* 0.5 K)) 2)))
7.228 * [backup-simplify]: Simplify (+ (/ 0.25 (* (pow J 2) (pow (cos (* 0.5 K)) 2))) 0) into (* 0.25 (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2))))
7.231 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 (* 0.25 (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2))))) 1)) (pow 1.0 1)))) 2) into (/ 0.25 (* (pow J 2) (pow (cos (* 0.5 K)) 2)))
7.232 * [backup-simplify]: Simplify (+ (* 1/4 (/ 0.25 (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) (+ (* 0 0) (* 0 (log 1.0)))) into (* 0.0625 (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2))))
7.235 * [backup-simplify]: Simplify (* (exp (* 1/4 (log 1.0))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 0.0625 (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1) 1)))) into (* 0.0625 (* (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2))) (pow 1.0 1/4)))
7.235 * [taylor]: Taking taylor expansion of (* 0.0625 (* (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2))) (pow 1.0 1/4))) in J
7.235 * [taylor]: Taking taylor expansion of 0.0625 in J
7.235 * [backup-simplify]: Simplify 0.0625 into 0.0625
7.235 * [taylor]: Taking taylor expansion of (* (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2))) (pow 1.0 1/4)) in J
7.235 * [taylor]: Taking taylor expansion of (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2))) in J
7.235 * [taylor]: Taking taylor expansion of (* (pow J 2) (pow (cos (* 0.5 K)) 2)) in J
7.235 * [taylor]: Taking taylor expansion of (pow J 2) in J
7.235 * [taylor]: Taking taylor expansion of J in J
7.235 * [backup-simplify]: Simplify 0 into 0
7.235 * [backup-simplify]: Simplify 1 into 1
7.235 * [taylor]: Taking taylor expansion of (pow (cos (* 0.5 K)) 2) in J
7.235 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in J
7.235 * [taylor]: Taking taylor expansion of (* 0.5 K) in J
7.235 * [taylor]: Taking taylor expansion of 0.5 in J
7.235 * [backup-simplify]: Simplify 0.5 into 0.5
7.235 * [taylor]: Taking taylor expansion of K in J
7.235 * [backup-simplify]: Simplify K into K
7.235 * [backup-simplify]: Simplify (* 0.5 K) into (* 0.5 K)
7.235 * [backup-simplify]: Simplify (cos (* 0.5 K)) into (cos (* 0.5 K))
7.235 * [backup-simplify]: Simplify (sin (* 0.5 K)) into (sin (* 0.5 K))
7.236 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) 1) into (cos (* 0.5 K))
7.236 * [backup-simplify]: Simplify (* (sin (* 0.5 K)) 0) into 0
7.236 * [backup-simplify]: Simplify (- 0) into 0
7.236 * [backup-simplify]: Simplify (+ (cos (* 0.5 K)) 0) into (cos (* 0.5 K))
7.236 * [backup-simplify]: Simplify (* 1 1) into 1
7.236 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) (cos (* 0.5 K))) into (pow (cos (* 0.5 K)) 2)
7.237 * [backup-simplify]: Simplify (* 1 (pow (cos (* 0.5 K)) 2)) into (pow (cos (* 0.5 K)) 2)
7.237 * [backup-simplify]: Simplify (/ 1 (pow (cos (* 0.5 K)) 2)) into (/ 1 (pow (cos (* 0.5 K)) 2))
7.237 * [taylor]: Taking taylor expansion of (pow 1.0 1/4) in J
7.237 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log 1.0))) in J
7.237 * [taylor]: Taking taylor expansion of (* 1/4 (log 1.0)) in J
7.237 * [taylor]: Taking taylor expansion of 1/4 in J
7.237 * [backup-simplify]: Simplify 1/4 into 1/4
7.237 * [taylor]: Taking taylor expansion of (log 1.0) in J
7.237 * [taylor]: Taking taylor expansion of 1.0 in J
7.237 * [backup-simplify]: Simplify 1.0 into 1.0
7.237 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
7.238 * [backup-simplify]: Simplify (* 1/4 (log 1.0)) into (* 1/4 (log 1.0))
7.239 * [backup-simplify]: Simplify (exp (* 1/4 (log 1.0))) into (pow 1.0 1/4)
7.239 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1.0 1)))) 1) into 0
7.240 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log 1.0))) into 0
7.242 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into 0
7.242 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log 1.0)))) into 0
7.243 * [backup-simplify]: Simplify (* (exp (* 1/4 (log 1.0))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
7.244 * [backup-simplify]: Simplify (+ 0) into 0
7.244 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (* 0 1)) into 0
7.244 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 K)) into 0
7.245 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.245 * [backup-simplify]: Simplify (+ (* (sin (* 0.5 K)) 0) (* 0 0)) into 0
7.245 * [backup-simplify]: Simplify (- 0) into 0
7.246 * [backup-simplify]: Simplify (+ 0 0) into 0
7.246 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (* 0 (cos (* 0.5 K)))) into 0
7.246 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.247 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (* 0.5 K)) 2))) into 0
7.247 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (cos (* 0.5 K)) 2)) (/ 0 (pow (cos (* 0.5 K)) 2))))) into 0
7.248 * [backup-simplify]: Simplify (* (exp (* 1/4 (log 1.0))) (+ (* (/ (pow 0 1) 1)))) into 0
7.248 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.249 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (+ (* 0 0) (* 0 1))) into 0
7.249 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 K))) into 0
7.250 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.250 * [backup-simplify]: Simplify (+ (* (sin (* 0.5 K)) 0) (+ (* 0 0) (* 0 0))) into 0
7.250 * [backup-simplify]: Simplify (- 0) into 0
7.251 * [backup-simplify]: Simplify (+ 0 0) into 0
7.251 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (+ (* 0 0) (* 0 (cos (* 0.5 K))))) into 0
7.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (* 0.5 K)) 2)))) into 0
7.252 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (cos (* 0.5 K)) 2)) (/ 0 (pow (cos (* 0.5 K)) 2))) (* 0 (/ 0 (pow (cos (* 0.5 K)) 2))))) into 0
7.253 * [backup-simplify]: Simplify (+ (* (/ 1 (pow (cos (* 0.5 K)) 2)) 0) (+ (* 0 0) (* 0 (pow 1.0 1/4)))) into 0
7.254 * [backup-simplify]: Simplify (+ (* (/ 1 (pow (cos (* 0.5 K)) 2)) 0) (* 0 (pow 1.0 1/4))) into 0
7.254 * [backup-simplify]: Simplify (* (/ 1 (pow (cos (* 0.5 K)) 2)) (pow 1.0 1/4)) into (* (/ 1 (pow (cos (* 0.5 K)) 2)) (pow 1.0 1/4))
7.255 * [backup-simplify]: Simplify (+ (* 0.0625 0) (+ (* 0 0) (* 0 (* (/ 1 (pow (cos (* 0.5 K)) 2)) (pow 1.0 1/4))))) into 0
7.255 * [taylor]: Taking taylor expansion of 0 in K
7.255 * [backup-simplify]: Simplify 0 into 0
7.255 * [backup-simplify]: Simplify 0 into 0
7.255 * [taylor]: Taking taylor expansion of 0 in K
7.255 * [backup-simplify]: Simplify 0 into 0
7.255 * [backup-simplify]: Simplify 0 into 0
7.257 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into 0
7.258 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log 1.0)))) into 0
7.259 * [backup-simplify]: Simplify (* (exp (* 1/4 (log 1.0))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
7.259 * [taylor]: Taking taylor expansion of 0 in K
7.259 * [backup-simplify]: Simplify 0 into 0
7.259 * [backup-simplify]: Simplify 0 into 0
7.259 * [backup-simplify]: Simplify (pow 1.0 1/4) into (pow 1.0 1/4)
7.260 * [backup-simplify]: Simplify (sqrt (sqrt (+ 1.0 (pow (/ (/ (/ 1 U) 2.0) (* (/ 1 J) (cos (/ (/ 1 K) 2.0)))) 2.0)))) into (pow (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0) 1/4)
7.260 * [approximate]: Taking taylor expansion of (pow (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0) 1/4) in (U J K) around 0
7.260 * [taylor]: Taking taylor expansion of (pow (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0) 1/4) in K
7.260 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)))) in K
7.260 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0))) in K
7.260 * [taylor]: Taking taylor expansion of 1/4 in K
7.260 * [backup-simplify]: Simplify 1/4 into 1/4
7.260 * [taylor]: Taking taylor expansion of (log (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) in K
7.260 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0) in K
7.260 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) in K
7.260 * [taylor]: Taking taylor expansion of 0.25 in K
7.260 * [backup-simplify]: Simplify 0.25 into 0.25
7.260 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))) in K
7.260 * [taylor]: Taking taylor expansion of (pow J 2) in K
7.260 * [taylor]: Taking taylor expansion of J in K
7.260 * [backup-simplify]: Simplify J into J
7.260 * [taylor]: Taking taylor expansion of (* (pow (cos (/ 0.5 K)) 2) (pow U 2)) in K
7.260 * [taylor]: Taking taylor expansion of (pow (cos (/ 0.5 K)) 2) in K
7.260 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in K
7.260 * [taylor]: Taking taylor expansion of (/ 0.5 K) in K
7.260 * [taylor]: Taking taylor expansion of 0.5 in K
7.260 * [backup-simplify]: Simplify 0.5 into 0.5
7.260 * [taylor]: Taking taylor expansion of K in K
7.260 * [backup-simplify]: Simplify 0 into 0
7.260 * [backup-simplify]: Simplify 1 into 1
7.261 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5
7.261 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
7.261 * [taylor]: Taking taylor expansion of (pow U 2) in K
7.261 * [taylor]: Taking taylor expansion of U in K
7.261 * [backup-simplify]: Simplify U into U
7.261 * [backup-simplify]: Simplify (* J J) into (pow J 2)
7.261 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) (cos (/ 0.5 K))) into (pow (cos (/ 0.5 K)) 2)
7.261 * [backup-simplify]: Simplify (* U U) into (pow U 2)
7.261 * [backup-simplify]: Simplify (* (pow (cos (/ 0.5 K)) 2) (pow U 2)) into (* (pow U 2) (pow (cos (/ 0.5 K)) 2))
7.261 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 0.5 K)) 2))) into (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))
7.261 * [taylor]: Taking taylor expansion of 1.0 in K
7.261 * [backup-simplify]: Simplify 1.0 into 1.0
7.262 * [backup-simplify]: Simplify (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) into (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))))
7.262 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0) into (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)
7.262 * [backup-simplify]: Simplify (log (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) into (log (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0))
7.263 * [backup-simplify]: Simplify (* 1/4 (log (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0))) into (* 1/4 (log (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)))
7.263 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)))) into (pow (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0) 1/4)
7.263 * [taylor]: Taking taylor expansion of (pow (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0) 1/4) in J
7.263 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)))) in J
7.263 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0))) in J
7.263 * [taylor]: Taking taylor expansion of 1/4 in J
7.263 * [backup-simplify]: Simplify 1/4 into 1/4
7.263 * [taylor]: Taking taylor expansion of (log (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) in J
7.263 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0) in J
7.263 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) in J
7.263 * [taylor]: Taking taylor expansion of 0.25 in J
7.263 * [backup-simplify]: Simplify 0.25 into 0.25
7.263 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))) in J
7.263 * [taylor]: Taking taylor expansion of (pow J 2) in J
7.263 * [taylor]: Taking taylor expansion of J in J
7.263 * [backup-simplify]: Simplify 0 into 0
7.263 * [backup-simplify]: Simplify 1 into 1
7.263 * [taylor]: Taking taylor expansion of (* (pow (cos (/ 0.5 K)) 2) (pow U 2)) in J
7.263 * [taylor]: Taking taylor expansion of (pow (cos (/ 0.5 K)) 2) in J
7.263 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in J
7.263 * [taylor]: Taking taylor expansion of (/ 0.5 K) in J
7.263 * [taylor]: Taking taylor expansion of 0.5 in J
7.263 * [backup-simplify]: Simplify 0.5 into 0.5
7.263 * [taylor]: Taking taylor expansion of K in J
7.263 * [backup-simplify]: Simplify K into K
7.264 * [backup-simplify]: Simplify (/ 0.5 K) into (/ 0.5 K)
7.264 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
7.264 * [backup-simplify]: Simplify (sin (/ 0.5 K)) into (sin (/ 0.5 K))
7.264 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
7.264 * [backup-simplify]: Simplify (* (sin (/ 0.5 K)) 0) into 0
7.264 * [backup-simplify]: Simplify (- 0) into 0
7.264 * [backup-simplify]: Simplify (+ (cos (/ 0.5 K)) 0) into (cos (/ 0.5 K))
7.264 * [taylor]: Taking taylor expansion of (pow U 2) in J
7.264 * [taylor]: Taking taylor expansion of U in J
7.264 * [backup-simplify]: Simplify U into U
7.265 * [backup-simplify]: Simplify (* 1 1) into 1
7.265 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) (cos (/ 0.5 K))) into (pow (cos (/ 0.5 K)) 2)
7.265 * [backup-simplify]: Simplify (* U U) into (pow U 2)
7.265 * [backup-simplify]: Simplify (* (pow (cos (/ 0.5 K)) 2) (pow U 2)) into (* (pow U 2) (pow (cos (/ 0.5 K)) 2))
7.266 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 0.5 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 0.5 K)) 2)))
7.266 * [taylor]: Taking taylor expansion of 1.0 in J
7.266 * [backup-simplify]: Simplify 1.0 into 1.0
7.266 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
7.267 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
7.268 * [backup-simplify]: Simplify (* 1/4 (log 1.0)) into (* 1/4 (log 1.0))
7.269 * [backup-simplify]: Simplify (exp (* 1/4 (log 1.0))) into (pow 1.0 1/4)
7.269 * [taylor]: Taking taylor expansion of (pow (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0) 1/4) in U
7.270 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)))) in U
7.270 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0))) in U
7.270 * [taylor]: Taking taylor expansion of 1/4 in U
7.270 * [backup-simplify]: Simplify 1/4 into 1/4
7.270 * [taylor]: Taking taylor expansion of (log (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) in U
7.270 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0) in U
7.270 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) in U
7.270 * [taylor]: Taking taylor expansion of 0.25 in U
7.270 * [backup-simplify]: Simplify 0.25 into 0.25
7.270 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))) in U
7.270 * [taylor]: Taking taylor expansion of (pow J 2) in U
7.270 * [taylor]: Taking taylor expansion of J in U
7.270 * [backup-simplify]: Simplify J into J
7.270 * [taylor]: Taking taylor expansion of (* (pow (cos (/ 0.5 K)) 2) (pow U 2)) in U
7.270 * [taylor]: Taking taylor expansion of (pow (cos (/ 0.5 K)) 2) in U
7.270 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in U
7.270 * [taylor]: Taking taylor expansion of (/ 0.5 K) in U
7.270 * [taylor]: Taking taylor expansion of 0.5 in U
7.270 * [backup-simplify]: Simplify 0.5 into 0.5
7.270 * [taylor]: Taking taylor expansion of K in U
7.270 * [backup-simplify]: Simplify K into K
7.270 * [backup-simplify]: Simplify (/ 0.5 K) into (/ 0.5 K)
7.270 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
7.270 * [backup-simplify]: Simplify (sin (/ 0.5 K)) into (sin (/ 0.5 K))
7.271 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
7.271 * [backup-simplify]: Simplify (* (sin (/ 0.5 K)) 0) into 0
7.271 * [backup-simplify]: Simplify (- 0) into 0
7.271 * [backup-simplify]: Simplify (+ (cos (/ 0.5 K)) 0) into (cos (/ 0.5 K))
7.271 * [taylor]: Taking taylor expansion of (pow U 2) in U
7.271 * [taylor]: Taking taylor expansion of U in U
7.271 * [backup-simplify]: Simplify 0 into 0
7.271 * [backup-simplify]: Simplify 1 into 1
7.271 * [backup-simplify]: Simplify (* J J) into (pow J 2)
7.272 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) (cos (/ 0.5 K))) into (pow (cos (/ 0.5 K)) 2)
7.272 * [backup-simplify]: Simplify (* 1 1) into 1
7.272 * [backup-simplify]: Simplify (* (pow (cos (/ 0.5 K)) 2) 1) into (pow (cos (/ 0.5 K)) 2)
7.273 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)) into (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))
7.273 * [taylor]: Taking taylor expansion of 1.0 in U
7.273 * [backup-simplify]: Simplify 1.0 into 1.0
7.273 * [backup-simplify]: Simplify (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))) into (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))
7.273 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))) 0) into (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))
7.274 * [backup-simplify]: Simplify (log (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) into (log (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))))
7.275 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))))) into (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U)))
7.275 * [backup-simplify]: Simplify (* 1/4 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U))))
7.276 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U)))))
7.276 * [taylor]: Taking taylor expansion of (pow (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0) 1/4) in U
7.276 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)))) in U
7.276 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0))) in U
7.276 * [taylor]: Taking taylor expansion of 1/4 in U
7.276 * [backup-simplify]: Simplify 1/4 into 1/4
7.276 * [taylor]: Taking taylor expansion of (log (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) in U
7.276 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0) in U
7.276 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) in U
7.276 * [taylor]: Taking taylor expansion of 0.25 in U
7.276 * [backup-simplify]: Simplify 0.25 into 0.25
7.276 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))) in U
7.276 * [taylor]: Taking taylor expansion of (pow J 2) in U
7.276 * [taylor]: Taking taylor expansion of J in U
7.276 * [backup-simplify]: Simplify J into J
7.276 * [taylor]: Taking taylor expansion of (* (pow (cos (/ 0.5 K)) 2) (pow U 2)) in U
7.276 * [taylor]: Taking taylor expansion of (pow (cos (/ 0.5 K)) 2) in U
7.276 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in U
7.276 * [taylor]: Taking taylor expansion of (/ 0.5 K) in U
7.276 * [taylor]: Taking taylor expansion of 0.5 in U
7.276 * [backup-simplify]: Simplify 0.5 into 0.5
7.276 * [taylor]: Taking taylor expansion of K in U
7.276 * [backup-simplify]: Simplify K into K
7.277 * [backup-simplify]: Simplify (/ 0.5 K) into (/ 0.5 K)
7.277 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
7.277 * [backup-simplify]: Simplify (sin (/ 0.5 K)) into (sin (/ 0.5 K))
7.277 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
7.277 * [backup-simplify]: Simplify (* (sin (/ 0.5 K)) 0) into 0
7.277 * [backup-simplify]: Simplify (- 0) into 0
7.278 * [backup-simplify]: Simplify (+ (cos (/ 0.5 K)) 0) into (cos (/ 0.5 K))
7.278 * [taylor]: Taking taylor expansion of (pow U 2) in U
7.278 * [taylor]: Taking taylor expansion of U in U
7.278 * [backup-simplify]: Simplify 0 into 0
7.278 * [backup-simplify]: Simplify 1 into 1
7.278 * [backup-simplify]: Simplify (* J J) into (pow J 2)
7.278 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) (cos (/ 0.5 K))) into (pow (cos (/ 0.5 K)) 2)
7.278 * [backup-simplify]: Simplify (* 1 1) into 1
7.279 * [backup-simplify]: Simplify (* (pow (cos (/ 0.5 K)) 2) 1) into (pow (cos (/ 0.5 K)) 2)
7.279 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)) into (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))
7.279 * [taylor]: Taking taylor expansion of 1.0 in U
7.279 * [backup-simplify]: Simplify 1.0 into 1.0
7.279 * [backup-simplify]: Simplify (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))) into (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))
7.280 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))) 0) into (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))
7.280 * [backup-simplify]: Simplify (log (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) into (log (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))))
7.281 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))))) into (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U)))
7.281 * [backup-simplify]: Simplify (* 1/4 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U))))
7.282 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U)))))
7.282 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U))))) in J
7.282 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U)))) in J
7.282 * [taylor]: Taking taylor expansion of 1/4 in J
7.282 * [backup-simplify]: Simplify 1/4 into 1/4
7.282 * [taylor]: Taking taylor expansion of (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U))) in J
7.282 * [taylor]: Taking taylor expansion of (log (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) in J
7.282 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))) in J
7.282 * [taylor]: Taking taylor expansion of 0.25 in J
7.282 * [backup-simplify]: Simplify 0.25 into 0.25
7.282 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)) in J
7.282 * [taylor]: Taking taylor expansion of (pow J 2) in J
7.282 * [taylor]: Taking taylor expansion of J in J
7.282 * [backup-simplify]: Simplify 0 into 0
7.282 * [backup-simplify]: Simplify 1 into 1
7.283 * [taylor]: Taking taylor expansion of (pow (cos (/ 0.5 K)) 2) in J
7.283 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in J
7.283 * [taylor]: Taking taylor expansion of (/ 0.5 K) in J
7.283 * [taylor]: Taking taylor expansion of 0.5 in J
7.283 * [backup-simplify]: Simplify 0.5 into 0.5
7.283 * [taylor]: Taking taylor expansion of K in J
7.283 * [backup-simplify]: Simplify K into K
7.283 * [backup-simplify]: Simplify (/ 0.5 K) into (/ 0.5 K)
7.283 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
7.283 * [backup-simplify]: Simplify (sin (/ 0.5 K)) into (sin (/ 0.5 K))
7.283 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
7.283 * [backup-simplify]: Simplify (* (sin (/ 0.5 K)) 0) into 0
7.284 * [backup-simplify]: Simplify (- 0) into 0
7.284 * [backup-simplify]: Simplify (+ (cos (/ 0.5 K)) 0) into (cos (/ 0.5 K))
7.284 * [backup-simplify]: Simplify (* 1 1) into 1
7.284 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) (cos (/ 0.5 K))) into (pow (cos (/ 0.5 K)) 2)
7.285 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 0.5 K)) 2)) into (/ 1 (pow (cos (/ 0.5 K)) 2))
7.285 * [backup-simplify]: Simplify (* 0.25 (/ 1 (pow (cos (/ 0.5 K)) 2))) into (/ 0.25 (pow (cos (/ 0.5 K)) 2))
7.285 * [backup-simplify]: Simplify (log (/ 0.25 (pow (cos (/ 0.5 K)) 2))) into (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))
7.285 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J
7.285 * [taylor]: Taking taylor expansion of 2 in J
7.285 * [backup-simplify]: Simplify 2 into 2
7.285 * [taylor]: Taking taylor expansion of (log U) in J
7.285 * [taylor]: Taking taylor expansion of U in J
7.285 * [backup-simplify]: Simplify U into U
7.285 * [backup-simplify]: Simplify (log U) into (log U)
7.286 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) into (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2))))
7.286 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U))
7.286 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U)))
7.287 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U)))
7.287 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U))))
7.288 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U)))))
7.288 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U))))) in K
7.288 * [taylor]: Taking taylor expansion of (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U)))) in K
7.288 * [taylor]: Taking taylor expansion of 1/4 in K
7.288 * [backup-simplify]: Simplify 1/4 into 1/4
7.288 * [taylor]: Taking taylor expansion of (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U))) in K
7.288 * [taylor]: Taking taylor expansion of (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) in K
7.288 * [taylor]: Taking taylor expansion of (* 2 (log J)) in K
7.288 * [taylor]: Taking taylor expansion of 2 in K
7.288 * [backup-simplify]: Simplify 2 into 2
7.288 * [taylor]: Taking taylor expansion of (log J) in K
7.288 * [taylor]: Taking taylor expansion of J in K
7.288 * [backup-simplify]: Simplify J into J
7.288 * [backup-simplify]: Simplify (log J) into (log J)
7.288 * [taylor]: Taking taylor expansion of (log (/ 0.25 (pow (cos (/ 0.5 K)) 2))) in K
7.289 * [taylor]: Taking taylor expansion of (/ 0.25 (pow (cos (/ 0.5 K)) 2)) in K
7.289 * [taylor]: Taking taylor expansion of 0.25 in K
7.289 * [backup-simplify]: Simplify 0.25 into 0.25
7.289 * [taylor]: Taking taylor expansion of (pow (cos (/ 0.5 K)) 2) in K
7.289 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in K
7.289 * [taylor]: Taking taylor expansion of (/ 0.5 K) in K
7.289 * [taylor]: Taking taylor expansion of 0.5 in K
7.289 * [backup-simplify]: Simplify 0.5 into 0.5
7.289 * [taylor]: Taking taylor expansion of K in K
7.289 * [backup-simplify]: Simplify 0 into 0
7.289 * [backup-simplify]: Simplify 1 into 1
7.289 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5
7.290 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
7.290 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) (cos (/ 0.5 K))) into (pow (cos (/ 0.5 K)) 2)
7.290 * [backup-simplify]: Simplify (/ 0.25 (pow (cos (/ 0.5 K)) 2)) into (/ 0.25 (pow (cos (/ 0.5 K)) 2))
7.290 * [backup-simplify]: Simplify (log (/ 0.25 (pow (cos (/ 0.5 K)) 2))) into (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))
7.290 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K
7.290 * [taylor]: Taking taylor expansion of 2 in K
7.290 * [backup-simplify]: Simplify 2 into 2
7.290 * [taylor]: Taking taylor expansion of (log U) in K
7.290 * [taylor]: Taking taylor expansion of U in K
7.290 * [backup-simplify]: Simplify U into U
7.290 * [backup-simplify]: Simplify (log U) into (log U)
7.291 * [backup-simplify]: Simplify (* 2 (log J)) into (* 2 (log J))
7.291 * [backup-simplify]: Simplify (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) into (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2))))
7.291 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U))
7.291 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U)))
7.291 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U)))
7.292 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U))))
7.292 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U)))))
7.293 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U)))))
7.293 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
7.294 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.294 * [backup-simplify]: Simplify (+ 0) into 0
7.295 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 1)) into 0
7.295 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)))) into 0
7.296 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.296 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (* 0 0)) into 0
7.297 * [backup-simplify]: Simplify (- 0) into 0
7.297 * [backup-simplify]: Simplify (+ 0 0) into 0
7.297 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 (cos (/ 0.5 K)))) into 0
7.298 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 0.5 K)) 2) 0) (* 0 1)) into 0
7.299 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 0.5 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)) (/ 0 (pow (cos (/ 0.5 K)) 2))))) into 0
7.300 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) into 0
7.300 * [backup-simplify]: Simplify (+ 0 0) into 0
7.301 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))) 1)))) 1) into 0
7.301 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))))) into (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U)))
7.302 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U))))) into 0
7.302 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0
7.302 * [taylor]: Taking taylor expansion of 0 in J
7.302 * [backup-simplify]: Simplify 0 into 0
7.303 * [taylor]: Taking taylor expansion of 0 in K
7.303 * [backup-simplify]: Simplify 0 into 0
7.303 * [backup-simplify]: Simplify 0 into 0
7.303 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.303 * [backup-simplify]: Simplify (+ 0) into 0
7.304 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 1)) into 0
7.304 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)))) into 0
7.304 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.304 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (* 0 0)) into 0
7.305 * [backup-simplify]: Simplify (- 0) into 0
7.305 * [backup-simplify]: Simplify (+ 0 0) into 0
7.305 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 (cos (/ 0.5 K)))) into 0
7.305 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 0.5 K)) 2)) (+ (* (/ 1 (pow (cos (/ 0.5 K)) 2)) (/ 0 (pow (cos (/ 0.5 K)) 2))))) into 0
7.306 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ 1 (pow (cos (/ 0.5 K)) 2)))) into 0
7.306 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 0.25 (pow (cos (/ 0.5 K)) 2)) 1)))) 1) into 0
7.307 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0
7.307 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0
7.308 * [backup-simplify]: Simplify (- 0) into 0
7.308 * [backup-simplify]: Simplify (+ 0 0) into 0
7.308 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U))))) into 0
7.309 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0
7.309 * [taylor]: Taking taylor expansion of 0 in K
7.309 * [backup-simplify]: Simplify 0 into 0
7.309 * [backup-simplify]: Simplify 0 into 0
7.310 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0
7.310 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log J))) into 0
7.310 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 (cos (/ 0.5 K)))) into 0
7.311 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 0.5 K)) 2)) (+ (* (/ 0.25 (pow (cos (/ 0.5 K)) 2)) (/ 0 (pow (cos (/ 0.5 K)) 2))))) into 0
7.311 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 0.25 (pow (cos (/ 0.5 K)) 2)) 1)))) 1) into 0
7.312 * [backup-simplify]: Simplify (+ 0 0) into 0
7.312 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0
7.312 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0
7.313 * [backup-simplify]: Simplify (- 0) into 0
7.313 * [backup-simplify]: Simplify (+ 0 0) into 0
7.314 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U))))) into 0
7.314 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0
7.314 * [backup-simplify]: Simplify 0 into 0
7.315 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
7.315 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.316 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.316 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (+ (* 0 0) (* 0 1))) into 0
7.316 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
7.317 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.317 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (+ (* 0 0) (* 0 0))) into 0
7.318 * [backup-simplify]: Simplify (- 0) into 0
7.318 * [backup-simplify]: Simplify (+ 0 0) into 0
7.318 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (+ (* 0 0) (* 0 (cos (/ 0.5 K))))) into 0
7.319 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 0.5 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
7.319 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 0.5 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)) (/ 0 (pow (cos (/ 0.5 K)) 2))) (* 0 (/ 0 (pow (cos (/ 0.5 K)) 2))))) into 0
7.320 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))))) into 0
7.320 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
7.323 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 1.0) 1)) (pow (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))) 1)))) 2) into (* 4.0 (/ (pow (cos (/ 0.5 K)) 2) (pow J 2)))
7.323 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))))) into (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U)))
7.324 * [backup-simplify]: Simplify (+ (* 1/4 (* 4.0 (/ (pow (cos (/ 0.5 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U)))))) into (* 1.0 (/ (pow (cos (/ 0.5 K)) 2) (pow J 2)))
7.325 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1.0 (/ (pow (cos (/ 0.5 K)) 2) (pow J 2))) 1) 1)))) into (* 1.0 (/ (* (exp (* 1/4 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 0.5 K)) 2)) (pow J 2)))
7.325 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (exp (* 1/4 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 0.5 K)) 2)) (pow J 2))) in J
7.325 * [taylor]: Taking taylor expansion of 1.0 in J
7.325 * [backup-simplify]: Simplify 1.0 into 1.0
7.325 * [taylor]: Taking taylor expansion of (/ (* (exp (* 1/4 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 0.5 K)) 2)) (pow J 2)) in J
7.325 * [taylor]: Taking taylor expansion of (* (exp (* 1/4 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 0.5 K)) 2)) in J
7.325 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U))))) in J
7.325 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U)))) in J
7.325 * [taylor]: Taking taylor expansion of 1/4 in J
7.325 * [backup-simplify]: Simplify 1/4 into 1/4
7.325 * [taylor]: Taking taylor expansion of (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U))) in J
7.325 * [taylor]: Taking taylor expansion of (log (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) in J
7.325 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))) in J
7.325 * [taylor]: Taking taylor expansion of 0.25 in J
7.325 * [backup-simplify]: Simplify 0.25 into 0.25
7.325 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)) in J
7.325 * [taylor]: Taking taylor expansion of (pow J 2) in J
7.325 * [taylor]: Taking taylor expansion of J in J
7.325 * [backup-simplify]: Simplify 0 into 0
7.325 * [backup-simplify]: Simplify 1 into 1
7.325 * [taylor]: Taking taylor expansion of (pow (cos (/ 0.5 K)) 2) in J
7.325 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in J
7.325 * [taylor]: Taking taylor expansion of (/ 0.5 K) in J
7.325 * [taylor]: Taking taylor expansion of 0.5 in J
7.325 * [backup-simplify]: Simplify 0.5 into 0.5
7.325 * [taylor]: Taking taylor expansion of K in J
7.325 * [backup-simplify]: Simplify K into K
7.325 * [backup-simplify]: Simplify (/ 0.5 K) into (/ 0.5 K)
7.325 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
7.326 * [backup-simplify]: Simplify (sin (/ 0.5 K)) into (sin (/ 0.5 K))
7.326 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
7.326 * [backup-simplify]: Simplify (* (sin (/ 0.5 K)) 0) into 0
7.327 * [backup-simplify]: Simplify (- 0) into 0
7.328 * [backup-simplify]: Simplify (+ (cos (/ 0.5 K)) 0) into (cos (/ 0.5 K))
7.328 * [backup-simplify]: Simplify (* 1 1) into 1
7.328 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) (cos (/ 0.5 K))) into (pow (cos (/ 0.5 K)) 2)
7.328 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 0.5 K)) 2)) into (/ 1 (pow (cos (/ 0.5 K)) 2))
7.328 * [backup-simplify]: Simplify (* 0.25 (/ 1 (pow (cos (/ 0.5 K)) 2))) into (/ 0.25 (pow (cos (/ 0.5 K)) 2))
7.328 * [backup-simplify]: Simplify (log (/ 0.25 (pow (cos (/ 0.5 K)) 2))) into (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))
7.328 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J
7.328 * [taylor]: Taking taylor expansion of 2 in J
7.329 * [backup-simplify]: Simplify 2 into 2
7.329 * [taylor]: Taking taylor expansion of (log U) in J
7.329 * [taylor]: Taking taylor expansion of U in J
7.329 * [backup-simplify]: Simplify U into U
7.329 * [backup-simplify]: Simplify (log U) into (log U)
7.329 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) into (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2))))
7.329 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U))
7.329 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U)))
7.329 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U)))
7.330 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U))))
7.330 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U)))))
7.330 * [taylor]: Taking taylor expansion of (pow (cos (/ 0.5 K)) 2) in J
7.330 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in J
7.330 * [taylor]: Taking taylor expansion of (/ 0.5 K) in J
7.330 * [taylor]: Taking taylor expansion of 0.5 in J
7.330 * [backup-simplify]: Simplify 0.5 into 0.5
7.330 * [taylor]: Taking taylor expansion of K in J
7.330 * [backup-simplify]: Simplify K into K
7.330 * [backup-simplify]: Simplify (/ 0.5 K) into (/ 0.5 K)
7.330 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
7.330 * [backup-simplify]: Simplify (sin (/ 0.5 K)) into (sin (/ 0.5 K))
7.330 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
7.330 * [backup-simplify]: Simplify (* (sin (/ 0.5 K)) 0) into 0
7.331 * [backup-simplify]: Simplify (- 0) into 0
7.331 * [backup-simplify]: Simplify (+ (cos (/ 0.5 K)) 0) into (cos (/ 0.5 K))
7.331 * [taylor]: Taking taylor expansion of (pow J 2) in J
7.331 * [taylor]: Taking taylor expansion of J in J
7.331 * [backup-simplify]: Simplify 0 into 0
7.331 * [backup-simplify]: Simplify 1 into 1
7.331 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) (cos (/ 0.5 K))) into (pow (cos (/ 0.5 K)) 2)
7.332 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 0.5 K)) 2)) into (* (pow (cos (/ 0.5 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U))))))
7.332 * [backup-simplify]: Simplify (* 1 1) into 1
7.332 * [backup-simplify]: Simplify (/ (* (pow (cos (/ 0.5 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U)))))) 1) into (* (pow (cos (/ 0.5 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U))))))
7.332 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)))) into 0
7.333 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.333 * [backup-simplify]: Simplify (+ 0) into 0
7.334 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (+ (* 0 0) (* 0 1))) into 0
7.334 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
7.334 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.335 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.335 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (+ (* 0 0) (* 0 0))) into 0
7.335 * [backup-simplify]: Simplify (- 0) into 0
7.336 * [backup-simplify]: Simplify (+ 0 0) into 0
7.336 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 1)) into 0
7.336 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (* 0 0)) into 0
7.336 * [backup-simplify]: Simplify (- 0) into 0
7.337 * [backup-simplify]: Simplify (+ 0 0) into 0
7.337 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (+ (* 0 0) (* 0 (cos (/ 0.5 K))))) into 0
7.337 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.338 * [backup-simplify]: Simplify (+ 0) into 0
7.338 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 1)) into 0
7.338 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)))) into 0
7.339 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.339 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (* 0 0)) into 0
7.339 * [backup-simplify]: Simplify (- 0) into 0
7.339 * [backup-simplify]: Simplify (+ 0 0) into 0
7.339 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 (cos (/ 0.5 K)))) into 0
7.340 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 0.5 K)) 2)) (+ (* (/ 1 (pow (cos (/ 0.5 K)) 2)) (/ 0 (pow (cos (/ 0.5 K)) 2))))) into 0
7.340 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ 1 (pow (cos (/ 0.5 K)) 2)))) into 0
7.341 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 0.25 (pow (cos (/ 0.5 K)) 2)) 1)))) 1) into 0
7.341 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0
7.342 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0
7.342 * [backup-simplify]: Simplify (- 0) into 0
7.342 * [backup-simplify]: Simplify (+ 0 0) into 0
7.343 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U))))) into 0
7.343 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0
7.344 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 (cos (/ 0.5 K)))) into 0
7.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.345 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.345 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (+ (* 0 0) (* 0 1))) into 0
7.345 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
7.346 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.346 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (+ (* 0 0) (* 0 0))) into 0
7.346 * [backup-simplify]: Simplify (- 0) into 0
7.347 * [backup-simplify]: Simplify (+ 0 0) into 0
7.347 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (+ (* 0 0) (* 0 (cos (/ 0.5 K))))) into 0
7.347 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 0.5 K)) 2)) (+ (* (/ 1 (pow (cos (/ 0.5 K)) 2)) (/ 0 (pow (cos (/ 0.5 K)) 2))) (* 0 (/ 0 (pow (cos (/ 0.5 K)) 2))))) into 0
7.348 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 0.5 K)) 2))))) into 0
7.349 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 0.25 (pow (cos (/ 0.5 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 0.25 (pow (cos (/ 0.5 K)) 2)) 1)))) 2) into 0
7.351 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0
7.351 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0
7.352 * [backup-simplify]: Simplify (- 0) into 0
7.352 * [backup-simplify]: Simplify (+ 0 0) into 0
7.353 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U)))))) into 0
7.354 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
7.355 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U))))) 0) (+ (* 0 0) (* 0 (pow (cos (/ 0.5 K)) 2)))) into 0
7.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.356 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U))))) 0) (* 0 (pow (cos (/ 0.5 K)) 2))) into 0
7.356 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.357 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ 0.5 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U)))))) (/ 0 1)))) into 0
7.359 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ 0.5 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U)))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.360 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (* (pow (cos (/ 0.5 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U))))))))) into 0
7.360 * [taylor]: Taking taylor expansion of 0 in K
7.360 * [backup-simplify]: Simplify 0 into 0
7.360 * [backup-simplify]: Simplify 0 into 0
7.360 * [taylor]: Taking taylor expansion of 0 in K
7.360 * [backup-simplify]: Simplify 0 into 0
7.360 * [backup-simplify]: Simplify 0 into 0
7.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.361 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.361 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (+ (* 0 0) (* 0 1))) into 0
7.361 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
7.362 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.362 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (+ (* 0 0) (* 0 0))) into 0
7.363 * [backup-simplify]: Simplify (- 0) into 0
7.363 * [backup-simplify]: Simplify (+ 0 0) into 0
7.363 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (+ (* 0 0) (* 0 (cos (/ 0.5 K))))) into 0
7.364 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 0.5 K)) 2)) (+ (* (/ 1 (pow (cos (/ 0.5 K)) 2)) (/ 0 (pow (cos (/ 0.5 K)) 2))) (* 0 (/ 0 (pow (cos (/ 0.5 K)) 2))))) into 0
7.364 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 0.5 K)) 2))))) into 0
7.365 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 0.25 (pow (cos (/ 0.5 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 0.25 (pow (cos (/ 0.5 K)) 2)) 1)))) 2) into 0
7.366 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0
7.367 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0
7.367 * [backup-simplify]: Simplify (- 0) into 0
7.368 * [backup-simplify]: Simplify (+ 0 0) into 0
7.368 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U)))))) into 0
7.369 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ 0.5 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
7.369 * [taylor]: Taking taylor expansion of 0 in K
7.369 * [backup-simplify]: Simplify 0 into 0
7.369 * [backup-simplify]: Simplify 0 into 0
7.370 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log (/ 1 J))) (log (/ 0.25 (pow (cos (/ 0.5 (/ 1 K))) 2)))) (* 2 (log (/ 1 U)))))) into (exp (* 1/4 (- (+ (log (/ 0.25 (pow (cos (* 0.5 K)) 2))) (* 2 (log (/ 1 J)))) (* 2 (log (/ 1 U))))))
7.370 * [backup-simplify]: Simplify (sqrt (sqrt (+ 1.0 (pow (/ (/ (/ 1 (- U)) 2.0) (* (/ 1 (- J)) (cos (/ (/ 1 (- K)) 2.0)))) 2.0)))) into (pow (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0) 1/4)
7.370 * [approximate]: Taking taylor expansion of (pow (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0) 1/4) in (U J K) around 0
7.370 * [taylor]: Taking taylor expansion of (pow (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0) 1/4) in K
7.370 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)))) in K
7.370 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0))) in K
7.370 * [taylor]: Taking taylor expansion of 1/4 in K
7.370 * [backup-simplify]: Simplify 1/4 into 1/4
7.370 * [taylor]: Taking taylor expansion of (log (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)) in K
7.370 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0) in K
7.370 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) in K
7.371 * [taylor]: Taking taylor expansion of 0.25 in K
7.371 * [backup-simplify]: Simplify 0.25 into 0.25
7.371 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) in K
7.371 * [taylor]: Taking taylor expansion of (pow J 2) in K
7.371 * [taylor]: Taking taylor expansion of J in K
7.371 * [backup-simplify]: Simplify J into J
7.371 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -0.5 K)) 2) (pow U 2)) in K
7.371 * [taylor]: Taking taylor expansion of (pow (cos (/ -0.5 K)) 2) in K
7.371 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in K
7.371 * [taylor]: Taking taylor expansion of (/ -0.5 K) in K
7.371 * [taylor]: Taking taylor expansion of -0.5 in K
7.371 * [backup-simplify]: Simplify -0.5 into -0.5
7.371 * [taylor]: Taking taylor expansion of K in K
7.371 * [backup-simplify]: Simplify 0 into 0
7.371 * [backup-simplify]: Simplify 1 into 1
7.371 * [backup-simplify]: Simplify (/ -0.5 1) into -0.5
7.371 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
7.371 * [taylor]: Taking taylor expansion of (pow U 2) in K
7.371 * [taylor]: Taking taylor expansion of U in K
7.371 * [backup-simplify]: Simplify U into U
7.371 * [backup-simplify]: Simplify (* J J) into (pow J 2)
7.371 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) (cos (/ -0.5 K))) into (pow (cos (/ -0.5 K)) 2)
7.371 * [backup-simplify]: Simplify (* U U) into (pow U 2)
7.371 * [backup-simplify]: Simplify (* (pow (cos (/ -0.5 K)) 2) (pow U 2)) into (* (pow (cos (/ -0.5 K)) 2) (pow U 2))
7.372 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))
7.372 * [taylor]: Taking taylor expansion of 1.0 in K
7.372 * [backup-simplify]: Simplify 1.0 into 1.0
7.372 * [backup-simplify]: Simplify (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) into (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))))
7.372 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0) into (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)
7.373 * [backup-simplify]: Simplify (log (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)) into (log (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0))
7.373 * [backup-simplify]: Simplify (* 1/4 (log (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0))) into (* 1/4 (log (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)))
7.373 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)))) into (pow (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0) 1/4)
7.373 * [taylor]: Taking taylor expansion of (pow (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0) 1/4) in J
7.373 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)))) in J
7.373 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0))) in J
7.373 * [taylor]: Taking taylor expansion of 1/4 in J
7.374 * [backup-simplify]: Simplify 1/4 into 1/4
7.374 * [taylor]: Taking taylor expansion of (log (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)) in J
7.374 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0) in J
7.374 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) in J
7.374 * [taylor]: Taking taylor expansion of 0.25 in J
7.374 * [backup-simplify]: Simplify 0.25 into 0.25
7.374 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) in J
7.374 * [taylor]: Taking taylor expansion of (pow J 2) in J
7.374 * [taylor]: Taking taylor expansion of J in J
7.374 * [backup-simplify]: Simplify 0 into 0
7.374 * [backup-simplify]: Simplify 1 into 1
7.374 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -0.5 K)) 2) (pow U 2)) in J
7.374 * [taylor]: Taking taylor expansion of (pow (cos (/ -0.5 K)) 2) in J
7.374 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in J
7.374 * [taylor]: Taking taylor expansion of (/ -0.5 K) in J
7.374 * [taylor]: Taking taylor expansion of -0.5 in J
7.374 * [backup-simplify]: Simplify -0.5 into -0.5
7.374 * [taylor]: Taking taylor expansion of K in J
7.374 * [backup-simplify]: Simplify K into K
7.374 * [backup-simplify]: Simplify (/ -0.5 K) into (/ -0.5 K)
7.374 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
7.374 * [backup-simplify]: Simplify (sin (/ -0.5 K)) into (sin (/ -0.5 K))
7.374 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
7.374 * [backup-simplify]: Simplify (* (sin (/ -0.5 K)) 0) into 0
7.374 * [backup-simplify]: Simplify (- 0) into 0
7.374 * [backup-simplify]: Simplify (+ (cos (/ -0.5 K)) 0) into (cos (/ -0.5 K))
7.375 * [taylor]: Taking taylor expansion of (pow U 2) in J
7.375 * [taylor]: Taking taylor expansion of U in J
7.375 * [backup-simplify]: Simplify U into U
7.375 * [backup-simplify]: Simplify (* 1 1) into 1
7.375 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) (cos (/ -0.5 K))) into (pow (cos (/ -0.5 K)) 2)
7.375 * [backup-simplify]: Simplify (* U U) into (pow U 2)
7.375 * [backup-simplify]: Simplify (* (pow (cos (/ -0.5 K)) 2) (pow U 2)) into (* (pow (cos (/ -0.5 K)) 2) (pow U 2))
7.375 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))
7.375 * [taylor]: Taking taylor expansion of 1.0 in J
7.375 * [backup-simplify]: Simplify 1.0 into 1.0
7.376 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
7.376 * [backup-simplify]: Simplify (log 1.0) into (log 1.0)
7.376 * [backup-simplify]: Simplify (* 1/4 (log 1.0)) into (* 1/4 (log 1.0))
7.377 * [backup-simplify]: Simplify (exp (* 1/4 (log 1.0))) into (pow 1.0 1/4)
7.377 * [taylor]: Taking taylor expansion of (pow (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0) 1/4) in U
7.377 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)))) in U
7.377 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0))) in U
7.377 * [taylor]: Taking taylor expansion of 1/4 in U
7.377 * [backup-simplify]: Simplify 1/4 into 1/4
7.378 * [taylor]: Taking taylor expansion of (log (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)) in U
7.378 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0) in U
7.378 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) in U
7.378 * [taylor]: Taking taylor expansion of 0.25 in U
7.378 * [backup-simplify]: Simplify 0.25 into 0.25
7.378 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) in U
7.378 * [taylor]: Taking taylor expansion of (pow J 2) in U
7.378 * [taylor]: Taking taylor expansion of J in U
7.378 * [backup-simplify]: Simplify J into J
7.378 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -0.5 K)) 2) (pow U 2)) in U
7.378 * [taylor]: Taking taylor expansion of (pow (cos (/ -0.5 K)) 2) in U
7.378 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in U
7.378 * [taylor]: Taking taylor expansion of (/ -0.5 K) in U
7.378 * [taylor]: Taking taylor expansion of -0.5 in U
7.378 * [backup-simplify]: Simplify -0.5 into -0.5
7.378 * [taylor]: Taking taylor expansion of K in U
7.378 * [backup-simplify]: Simplify K into K
7.378 * [backup-simplify]: Simplify (/ -0.5 K) into (/ -0.5 K)
7.378 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
7.378 * [backup-simplify]: Simplify (sin (/ -0.5 K)) into (sin (/ -0.5 K))
7.378 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
7.378 * [backup-simplify]: Simplify (* (sin (/ -0.5 K)) 0) into 0
7.378 * [backup-simplify]: Simplify (- 0) into 0
7.378 * [backup-simplify]: Simplify (+ (cos (/ -0.5 K)) 0) into (cos (/ -0.5 K))
7.378 * [taylor]: Taking taylor expansion of (pow U 2) in U
7.378 * [taylor]: Taking taylor expansion of U in U
7.378 * [backup-simplify]: Simplify 0 into 0
7.378 * [backup-simplify]: Simplify 1 into 1
7.378 * [backup-simplify]: Simplify (* J J) into (pow J 2)
7.379 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) (cos (/ -0.5 K))) into (pow (cos (/ -0.5 K)) 2)
7.379 * [backup-simplify]: Simplify (* 1 1) into 1
7.379 * [backup-simplify]: Simplify (* (pow (cos (/ -0.5 K)) 2) 1) into (pow (cos (/ -0.5 K)) 2)
7.379 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)) into (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))
7.379 * [taylor]: Taking taylor expansion of 1.0 in U
7.379 * [backup-simplify]: Simplify 1.0 into 1.0
7.379 * [backup-simplify]: Simplify (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))) into (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))
7.380 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))) 0) into (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))
7.380 * [backup-simplify]: Simplify (log (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) into (log (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))))
7.381 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))))) into (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U)))
7.381 * [backup-simplify]: Simplify (* 1/4 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U))))
7.382 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U)))))
7.382 * [taylor]: Taking taylor expansion of (pow (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0) 1/4) in U
7.382 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)))) in U
7.382 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0))) in U
7.382 * [taylor]: Taking taylor expansion of 1/4 in U
7.382 * [backup-simplify]: Simplify 1/4 into 1/4
7.382 * [taylor]: Taking taylor expansion of (log (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)) in U
7.382 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0) in U
7.382 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) in U
7.382 * [taylor]: Taking taylor expansion of 0.25 in U
7.382 * [backup-simplify]: Simplify 0.25 into 0.25
7.382 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) in U
7.382 * [taylor]: Taking taylor expansion of (pow J 2) in U
7.382 * [taylor]: Taking taylor expansion of J in U
7.382 * [backup-simplify]: Simplify J into J
7.382 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -0.5 K)) 2) (pow U 2)) in U
7.382 * [taylor]: Taking taylor expansion of (pow (cos (/ -0.5 K)) 2) in U
7.382 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in U
7.382 * [taylor]: Taking taylor expansion of (/ -0.5 K) in U
7.382 * [taylor]: Taking taylor expansion of -0.5 in U
7.382 * [backup-simplify]: Simplify -0.5 into -0.5
7.382 * [taylor]: Taking taylor expansion of K in U
7.382 * [backup-simplify]: Simplify K into K
7.382 * [backup-simplify]: Simplify (/ -0.5 K) into (/ -0.5 K)
7.383 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
7.383 * [backup-simplify]: Simplify (sin (/ -0.5 K)) into (sin (/ -0.5 K))
7.383 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
7.383 * [backup-simplify]: Simplify (* (sin (/ -0.5 K)) 0) into 0
7.383 * [backup-simplify]: Simplify (- 0) into 0
7.383 * [backup-simplify]: Simplify (+ (cos (/ -0.5 K)) 0) into (cos (/ -0.5 K))
7.384 * [taylor]: Taking taylor expansion of (pow U 2) in U
7.384 * [taylor]: Taking taylor expansion of U in U
7.384 * [backup-simplify]: Simplify 0 into 0
7.384 * [backup-simplify]: Simplify 1 into 1
7.384 * [backup-simplify]: Simplify (* J J) into (pow J 2)
7.384 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) (cos (/ -0.5 K))) into (pow (cos (/ -0.5 K)) 2)
7.384 * [backup-simplify]: Simplify (* 1 1) into 1
7.384 * [backup-simplify]: Simplify (* (pow (cos (/ -0.5 K)) 2) 1) into (pow (cos (/ -0.5 K)) 2)
7.385 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)) into (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))
7.385 * [taylor]: Taking taylor expansion of 1.0 in U
7.385 * [backup-simplify]: Simplify 1.0 into 1.0
7.385 * [backup-simplify]: Simplify (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))) into (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))
7.386 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))) 0) into (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))
7.386 * [backup-simplify]: Simplify (log (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) into (log (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))))
7.387 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))))) into (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U)))
7.387 * [backup-simplify]: Simplify (* 1/4 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U))))
7.388 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U)))))
7.388 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U))))) in J
7.388 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U)))) in J
7.388 * [taylor]: Taking taylor expansion of 1/4 in J
7.388 * [backup-simplify]: Simplify 1/4 into 1/4
7.388 * [taylor]: Taking taylor expansion of (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U))) in J
7.388 * [taylor]: Taking taylor expansion of (log (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) in J
7.388 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))) in J
7.388 * [taylor]: Taking taylor expansion of 0.25 in J
7.388 * [backup-simplify]: Simplify 0.25 into 0.25
7.388 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)) in J
7.388 * [taylor]: Taking taylor expansion of (pow J 2) in J
7.388 * [taylor]: Taking taylor expansion of J in J
7.388 * [backup-simplify]: Simplify 0 into 0
7.388 * [backup-simplify]: Simplify 1 into 1
7.388 * [taylor]: Taking taylor expansion of (pow (cos (/ -0.5 K)) 2) in J
7.388 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in J
7.388 * [taylor]: Taking taylor expansion of (/ -0.5 K) in J
7.388 * [taylor]: Taking taylor expansion of -0.5 in J
7.388 * [backup-simplify]: Simplify -0.5 into -0.5
7.388 * [taylor]: Taking taylor expansion of K in J
7.388 * [backup-simplify]: Simplify K into K
7.388 * [backup-simplify]: Simplify (/ -0.5 K) into (/ -0.5 K)
7.389 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
7.389 * [backup-simplify]: Simplify (sin (/ -0.5 K)) into (sin (/ -0.5 K))
7.389 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
7.389 * [backup-simplify]: Simplify (* (sin (/ -0.5 K)) 0) into 0
7.389 * [backup-simplify]: Simplify (- 0) into 0
7.389 * [backup-simplify]: Simplify (+ (cos (/ -0.5 K)) 0) into (cos (/ -0.5 K))
7.390 * [backup-simplify]: Simplify (* 1 1) into 1
7.390 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) (cos (/ -0.5 K))) into (pow (cos (/ -0.5 K)) 2)
7.390 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -0.5 K)) 2)) into (/ 1 (pow (cos (/ -0.5 K)) 2))
7.390 * [backup-simplify]: Simplify (* 0.25 (/ 1 (pow (cos (/ -0.5 K)) 2))) into (/ 0.25 (pow (cos (/ -0.5 K)) 2))
7.391 * [backup-simplify]: Simplify (log (/ 0.25 (pow (cos (/ -0.5 K)) 2))) into (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))
7.391 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J
7.391 * [taylor]: Taking taylor expansion of 2 in J
7.391 * [backup-simplify]: Simplify 2 into 2
7.391 * [taylor]: Taking taylor expansion of (log U) in J
7.391 * [taylor]: Taking taylor expansion of U in J
7.391 * [backup-simplify]: Simplify U into U
7.391 * [backup-simplify]: Simplify (log U) into (log U)
7.392 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) into (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2))))
7.392 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U))
7.392 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U)))
7.392 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U)))
7.393 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U))))
7.393 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U)))))
7.393 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U))))) in K
7.393 * [taylor]: Taking taylor expansion of (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U)))) in K
7.393 * [taylor]: Taking taylor expansion of 1/4 in K
7.393 * [backup-simplify]: Simplify 1/4 into 1/4
7.393 * [taylor]: Taking taylor expansion of (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U))) in K
7.394 * [taylor]: Taking taylor expansion of (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) in K
7.394 * [taylor]: Taking taylor expansion of (* 2 (log J)) in K
7.394 * [taylor]: Taking taylor expansion of 2 in K
7.394 * [backup-simplify]: Simplify 2 into 2
7.394 * [taylor]: Taking taylor expansion of (log J) in K
7.394 * [taylor]: Taking taylor expansion of J in K
7.394 * [backup-simplify]: Simplify J into J
7.394 * [backup-simplify]: Simplify (log J) into (log J)
7.394 * [taylor]: Taking taylor expansion of (log (/ 0.25 (pow (cos (/ -0.5 K)) 2))) in K
7.394 * [taylor]: Taking taylor expansion of (/ 0.25 (pow (cos (/ -0.5 K)) 2)) in K
7.394 * [taylor]: Taking taylor expansion of 0.25 in K
7.394 * [backup-simplify]: Simplify 0.25 into 0.25
7.394 * [taylor]: Taking taylor expansion of (pow (cos (/ -0.5 K)) 2) in K
7.394 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in K
7.394 * [taylor]: Taking taylor expansion of (/ -0.5 K) in K
7.394 * [taylor]: Taking taylor expansion of -0.5 in K
7.394 * [backup-simplify]: Simplify -0.5 into -0.5
7.394 * [taylor]: Taking taylor expansion of K in K
7.394 * [backup-simplify]: Simplify 0 into 0
7.394 * [backup-simplify]: Simplify 1 into 1
7.395 * [backup-simplify]: Simplify (/ -0.5 1) into -0.5
7.395 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
7.395 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) (cos (/ -0.5 K))) into (pow (cos (/ -0.5 K)) 2)
7.395 * [backup-simplify]: Simplify (/ 0.25 (pow (cos (/ -0.5 K)) 2)) into (/ 0.25 (pow (cos (/ -0.5 K)) 2))
7.395 * [backup-simplify]: Simplify (log (/ 0.25 (pow (cos (/ -0.5 K)) 2))) into (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))
7.395 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K
7.395 * [taylor]: Taking taylor expansion of 2 in K
7.395 * [backup-simplify]: Simplify 2 into 2
7.395 * [taylor]: Taking taylor expansion of (log U) in K
7.396 * [taylor]: Taking taylor expansion of U in K
7.396 * [backup-simplify]: Simplify U into U
7.396 * [backup-simplify]: Simplify (log U) into (log U)
7.396 * [backup-simplify]: Simplify (* 2 (log J)) into (* 2 (log J))
7.396 * [backup-simplify]: Simplify (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) into (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2))))
7.396 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U))
7.396 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U)))
7.396 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U)))
7.397 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U))))
7.397 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U)))))
7.397 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U)))))
7.397 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
7.398 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.398 * [backup-simplify]: Simplify (+ 0) into 0
7.398 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 1)) into 0
7.398 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)))) into 0
7.399 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.399 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (* 0 0)) into 0
7.399 * [backup-simplify]: Simplify (- 0) into 0
7.400 * [backup-simplify]: Simplify (+ 0 0) into 0
7.400 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 (cos (/ -0.5 K)))) into 0
7.400 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -0.5 K)) 2) 0) (* 0 1)) into 0
7.401 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -0.5 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)) (/ 0 (pow (cos (/ -0.5 K)) 2))))) into 0
7.401 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) into 0
7.401 * [backup-simplify]: Simplify (+ 0 0) into 0
7.402 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))) 1)))) 1) into 0
7.402 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))))) into (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U)))
7.403 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U))))) into 0
7.404 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0
7.404 * [taylor]: Taking taylor expansion of 0 in J
7.404 * [backup-simplify]: Simplify 0 into 0
7.404 * [taylor]: Taking taylor expansion of 0 in K
7.404 * [backup-simplify]: Simplify 0 into 0
7.404 * [backup-simplify]: Simplify 0 into 0
7.404 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.405 * [backup-simplify]: Simplify (+ 0) into 0
7.405 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 1)) into 0
7.405 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)))) into 0
7.405 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.406 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (* 0 0)) into 0
7.406 * [backup-simplify]: Simplify (- 0) into 0
7.406 * [backup-simplify]: Simplify (+ 0 0) into 0
7.406 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 (cos (/ -0.5 K)))) into 0
7.407 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -0.5 K)) 2)) (+ (* (/ 1 (pow (cos (/ -0.5 K)) 2)) (/ 0 (pow (cos (/ -0.5 K)) 2))))) into 0
7.407 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ 1 (pow (cos (/ -0.5 K)) 2)))) into 0
7.408 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 0.25 (pow (cos (/ -0.5 K)) 2)) 1)))) 1) into 0
7.408 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0
7.409 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0
7.409 * [backup-simplify]: Simplify (- 0) into 0
7.409 * [backup-simplify]: Simplify (+ 0 0) into 0
7.410 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U))))) into 0
7.410 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0
7.410 * [taylor]: Taking taylor expansion of 0 in K
7.410 * [backup-simplify]: Simplify 0 into 0
7.410 * [backup-simplify]: Simplify 0 into 0
7.411 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0
7.411 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log J))) into 0
7.411 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 (cos (/ -0.5 K)))) into 0
7.412 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -0.5 K)) 2)) (+ (* (/ 0.25 (pow (cos (/ -0.5 K)) 2)) (/ 0 (pow (cos (/ -0.5 K)) 2))))) into 0
7.412 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 0.25 (pow (cos (/ -0.5 K)) 2)) 1)))) 1) into 0
7.412 * [backup-simplify]: Simplify (+ 0 0) into 0
7.413 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0
7.413 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0
7.414 * [backup-simplify]: Simplify (- 0) into 0
7.414 * [backup-simplify]: Simplify (+ 0 0) into 0
7.414 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U))))) into 0
7.415 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0
7.415 * [backup-simplify]: Simplify 0 into 0
7.415 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
7.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.417 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.417 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (+ (* 0 0) (* 0 1))) into 0
7.417 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
7.418 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.418 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (+ (* 0 0) (* 0 0))) into 0
7.418 * [backup-simplify]: Simplify (- 0) into 0
7.418 * [backup-simplify]: Simplify (+ 0 0) into 0
7.419 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (+ (* 0 0) (* 0 (cos (/ -0.5 K))))) into 0
7.419 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -0.5 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
7.420 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -0.5 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)) (/ 0 (pow (cos (/ -0.5 K)) 2))) (* 0 (/ 0 (pow (cos (/ -0.5 K)) 2))))) into 0
7.421 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))))) into 0
7.421 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
7.423 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 1.0) 1)) (pow (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))) 1)))) 2) into (* 4.0 (/ (pow (cos (/ -0.5 K)) 2) (pow J 2)))
7.424 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))))) into (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U)))
7.424 * [backup-simplify]: Simplify (+ (* 1/4 (* 4.0 (/ (pow (cos (/ -0.5 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U)))))) into (* 1.0 (/ (pow (cos (/ -0.5 K)) 2) (pow J 2)))
7.425 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1.0 (/ (pow (cos (/ -0.5 K)) 2) (pow J 2))) 1) 1)))) into (* 1.0 (/ (* (exp (* 1/4 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U))))) (pow (cos (/ -0.5 K)) 2)) (pow J 2)))
7.425 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (exp (* 1/4 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U))))) (pow (cos (/ -0.5 K)) 2)) (pow J 2))) in J
7.425 * [taylor]: Taking taylor expansion of 1.0 in J
7.425 * [backup-simplify]: Simplify 1.0 into 1.0
7.425 * [taylor]: Taking taylor expansion of (/ (* (exp (* 1/4 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U))))) (pow (cos (/ -0.5 K)) 2)) (pow J 2)) in J
7.426 * [taylor]: Taking taylor expansion of (* (exp (* 1/4 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U))))) (pow (cos (/ -0.5 K)) 2)) in J
7.426 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U))))) in J
7.426 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U)))) in J
7.426 * [taylor]: Taking taylor expansion of 1/4 in J
7.426 * [backup-simplify]: Simplify 1/4 into 1/4
7.426 * [taylor]: Taking taylor expansion of (- (log (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U))) in J
7.426 * [taylor]: Taking taylor expansion of (log (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) in J
7.426 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))) in J
7.426 * [taylor]: Taking taylor expansion of 0.25 in J
7.426 * [backup-simplify]: Simplify 0.25 into 0.25
7.426 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)) in J
7.426 * [taylor]: Taking taylor expansion of (pow J 2) in J
7.426 * [taylor]: Taking taylor expansion of J in J
7.426 * [backup-simplify]: Simplify 0 into 0
7.426 * [backup-simplify]: Simplify 1 into 1
7.426 * [taylor]: Taking taylor expansion of (pow (cos (/ -0.5 K)) 2) in J
7.426 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in J
7.426 * [taylor]: Taking taylor expansion of (/ -0.5 K) in J
7.426 * [taylor]: Taking taylor expansion of -0.5 in J
7.426 * [backup-simplify]: Simplify -0.5 into -0.5
7.426 * [taylor]: Taking taylor expansion of K in J
7.426 * [backup-simplify]: Simplify K into K
7.426 * [backup-simplify]: Simplify (/ -0.5 K) into (/ -0.5 K)
7.426 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
7.426 * [backup-simplify]: Simplify (sin (/ -0.5 K)) into (sin (/ -0.5 K))
7.426 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
7.426 * [backup-simplify]: Simplify (* (sin (/ -0.5 K)) 0) into 0
7.426 * [backup-simplify]: Simplify (- 0) into 0
7.426 * [backup-simplify]: Simplify (+ (cos (/ -0.5 K)) 0) into (cos (/ -0.5 K))
7.427 * [backup-simplify]: Simplify (* 1 1) into 1
7.427 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) (cos (/ -0.5 K))) into (pow (cos (/ -0.5 K)) 2)
7.427 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -0.5 K)) 2)) into (/ 1 (pow (cos (/ -0.5 K)) 2))
7.427 * [backup-simplify]: Simplify (* 0.25 (/ 1 (pow (cos (/ -0.5 K)) 2))) into (/ 0.25 (pow (cos (/ -0.5 K)) 2))
7.427 * [backup-simplify]: Simplify (log (/ 0.25 (pow (cos (/ -0.5 K)) 2))) into (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))
7.427 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J
7.427 * [taylor]: Taking taylor expansion of 2 in J
7.427 * [backup-simplify]: Simplify 2 into 2
7.427 * [taylor]: Taking taylor expansion of (log U) in J
7.427 * [taylor]: Taking taylor expansion of U in J
7.427 * [backup-simplify]: Simplify U into U
7.427 * [backup-simplify]: Simplify (log U) into (log U)
7.428 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) into (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2))))
7.428 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U))
7.428 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U)))
7.428 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U)))
7.428 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U))))
7.429 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U)))))
7.429 * [taylor]: Taking taylor expansion of (pow (cos (/ -0.5 K)) 2) in J
7.429 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in J
7.429 * [taylor]: Taking taylor expansion of (/ -0.5 K) in J
7.429 * [taylor]: Taking taylor expansion of -0.5 in J
7.429 * [backup-simplify]: Simplify -0.5 into -0.5
7.429 * [taylor]: Taking taylor expansion of K in J
7.429 * [backup-simplify]: Simplify K into K
7.429 * [backup-simplify]: Simplify (/ -0.5 K) into (/ -0.5 K)
7.429 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
7.429 * [backup-simplify]: Simplify (sin (/ -0.5 K)) into (sin (/ -0.5 K))
7.429 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
7.429 * [backup-simplify]: Simplify (* (sin (/ -0.5 K)) 0) into 0
7.430 * [backup-simplify]: Simplify (- 0) into 0
7.430 * [backup-simplify]: Simplify (+ (cos (/ -0.5 K)) 0) into (cos (/ -0.5 K))
7.430 * [taylor]: Taking taylor expansion of (pow J 2) in J
7.430 * [taylor]: Taking taylor expansion of J in J
7.430 * [backup-simplify]: Simplify 0 into 0
7.430 * [backup-simplify]: Simplify 1 into 1
7.430 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) (cos (/ -0.5 K))) into (pow (cos (/ -0.5 K)) 2)
7.430 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U))))) (pow (cos (/ -0.5 K)) 2)) into (* (pow (cos (/ -0.5 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U))))))
7.431 * [backup-simplify]: Simplify (* 1 1) into 1
7.431 * [backup-simplify]: Simplify (/ (* (pow (cos (/ -0.5 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U)))))) 1) into (* (pow (cos (/ -0.5 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U))))))
7.431 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)))) into 0
7.432 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.432 * [backup-simplify]: Simplify (+ 0) into 0
7.433 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (+ (* 0 0) (* 0 1))) into 0
7.433 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
7.433 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.434 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.434 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (+ (* 0 0) (* 0 0))) into 0
7.434 * [backup-simplify]: Simplify (- 0) into 0
7.435 * [backup-simplify]: Simplify (+ 0 0) into 0
7.435 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 1)) into 0
7.435 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (* 0 0)) into 0
7.436 * [backup-simplify]: Simplify (- 0) into 0
7.436 * [backup-simplify]: Simplify (+ 0 0) into 0
7.436 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (+ (* 0 0) (* 0 (cos (/ -0.5 K))))) into 0
7.437 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.437 * [backup-simplify]: Simplify (+ 0) into 0
7.437 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 1)) into 0
7.437 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)))) into 0
7.441 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.441 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (* 0 0)) into 0
7.441 * [backup-simplify]: Simplify (- 0) into 0
7.442 * [backup-simplify]: Simplify (+ 0 0) into 0
7.442 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 (cos (/ -0.5 K)))) into 0
7.442 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -0.5 K)) 2)) (+ (* (/ 1 (pow (cos (/ -0.5 K)) 2)) (/ 0 (pow (cos (/ -0.5 K)) 2))))) into 0
7.443 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ 1 (pow (cos (/ -0.5 K)) 2)))) into 0
7.443 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 0.25 (pow (cos (/ -0.5 K)) 2)) 1)))) 1) into 0
7.444 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0
7.444 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0
7.444 * [backup-simplify]: Simplify (- 0) into 0
7.444 * [backup-simplify]: Simplify (+ 0 0) into 0
7.445 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U))))) into 0
7.446 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0
7.446 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 (cos (/ -0.5 K)))) into 0
7.447 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.447 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.447 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (+ (* 0 0) (* 0 1))) into 0
7.448 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
7.448 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.448 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (+ (* 0 0) (* 0 0))) into 0
7.449 * [backup-simplify]: Simplify (- 0) into 0
7.449 * [backup-simplify]: Simplify (+ 0 0) into 0
7.449 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (+ (* 0 0) (* 0 (cos (/ -0.5 K))))) into 0
7.450 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -0.5 K)) 2)) (+ (* (/ 1 (pow (cos (/ -0.5 K)) 2)) (/ 0 (pow (cos (/ -0.5 K)) 2))) (* 0 (/ 0 (pow (cos (/ -0.5 K)) 2))))) into 0
7.450 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -0.5 K)) 2))))) into 0
7.452 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 0.25 (pow (cos (/ -0.5 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 0.25 (pow (cos (/ -0.5 K)) 2)) 1)))) 2) into 0
7.453 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0
7.453 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0
7.454 * [backup-simplify]: Simplify (- 0) into 0
7.454 * [backup-simplify]: Simplify (+ 0 0) into 0
7.455 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U)))))) into 0
7.456 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
7.456 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U))))) 0) (+ (* 0 0) (* 0 (pow (cos (/ -0.5 K)) 2)))) into 0
7.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.457 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U))))) 0) (* 0 (pow (cos (/ -0.5 K)) 2))) into 0
7.458 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.459 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -0.5 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U)))))) (/ 0 1)))) into 0
7.460 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -0.5 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U)))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.461 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (* (pow (cos (/ -0.5 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U))))))))) into 0
7.461 * [taylor]: Taking taylor expansion of 0 in K
7.461 * [backup-simplify]: Simplify 0 into 0
7.461 * [backup-simplify]: Simplify 0 into 0
7.461 * [taylor]: Taking taylor expansion of 0 in K
7.461 * [backup-simplify]: Simplify 0 into 0
7.461 * [backup-simplify]: Simplify 0 into 0
7.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.462 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.462 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (+ (* 0 0) (* 0 1))) into 0
7.463 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
7.463 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.463 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (+ (* 0 0) (* 0 0))) into 0
7.464 * [backup-simplify]: Simplify (- 0) into 0
7.464 * [backup-simplify]: Simplify (+ 0 0) into 0
7.464 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (+ (* 0 0) (* 0 (cos (/ -0.5 K))))) into 0
7.465 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -0.5 K)) 2)) (+ (* (/ 1 (pow (cos (/ -0.5 K)) 2)) (/ 0 (pow (cos (/ -0.5 K)) 2))) (* 0 (/ 0 (pow (cos (/ -0.5 K)) 2))))) into 0
7.465 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -0.5 K)) 2))))) into 0
7.467 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 0.25 (pow (cos (/ -0.5 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 0.25 (pow (cos (/ -0.5 K)) 2)) 1)))) 2) into 0
7.468 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0
7.468 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0
7.468 * [backup-simplify]: Simplify (- 0) into 0
7.469 * [backup-simplify]: Simplify (+ 0 0) into 0
7.469 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U)))))) into 0
7.470 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 0.25 (pow (cos (/ -0.5 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
7.471 * [taylor]: Taking taylor expansion of 0 in K
7.471 * [backup-simplify]: Simplify 0 into 0
7.471 * [backup-simplify]: Simplify 0 into 0
7.471 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log (/ 1 (- J)))) (log (/ 0.25 (pow (cos (/ -0.5 (/ 1 (- K)))) 2)))) (* 2 (log (/ 1 (- U))))))) into (exp (* 1/4 (- (+ (log (/ 0.25 (pow (cos (* 0.5 K)) 2))) (* 2 (log (/ -1 J)))) (* 2 (log (/ -1 U))))))
7.471 * * * [progress]: simplifying candidates
7.473 * [simplify]: Simplifying:
  (log (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0))))
  (exp (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0))))
  (* (cbrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))) (cbrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))))
  (cbrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0))))
  (* (* (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0))) (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))) (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0))))
  (sqrt (* (cbrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0))) (cbrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))))
  (sqrt (cbrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0))))
  (sqrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0))))
  (sqrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0))))
  (sqrt 1)
  (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))
  (sqrt 1)
  (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))
  (sqrt (+ (pow 1.0 3) (pow (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0) 3)))
  (sqrt (+ (* 1.0 1.0) (- (* (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0) (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)) (* 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))))
  (sqrt (- (* 1.0 1.0) (* (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0) (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0))))
  (sqrt (- 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))
  (/ 1 2)
  (sqrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0))))
  (sqrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0))))
  (log (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0))))
  (exp (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0))))
  (* (cbrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))) (cbrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))))
  (cbrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0))))
  (* (* (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0))) (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))) (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0))))
  (sqrt (* (cbrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0))) (cbrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))))
  (sqrt (cbrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0))))
  (sqrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0))))
  (sqrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0))))
  (sqrt 1)
  (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))
  (sqrt 1)
  (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))
  (sqrt (+ (pow 1.0 3) (pow (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0) 3)))
  (sqrt (+ (* 1.0 1.0) (- (* (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0) (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)) (* 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))))
  (sqrt (- (* 1.0 1.0) (* (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0) (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0))))
  (sqrt (- 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))
  (/ 1 2)
  (sqrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0))))
  (sqrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0))))
  (log (sqrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))))
  (exp (sqrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))))
  (* (cbrt (sqrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0))))) (cbrt (sqrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0))))))
  (cbrt (sqrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))))
  (* (* (sqrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))) (sqrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0))))) (sqrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))))
  (sqrt (* (cbrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))) (cbrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0))))))
  (sqrt (cbrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))))
  (sqrt (sqrt (* (cbrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0))) (cbrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0))))))
  (sqrt (sqrt (cbrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))))
  (sqrt (sqrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))))
  (sqrt (sqrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))))
  (sqrt (sqrt 1))
  (sqrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0))))
  (sqrt (sqrt 1))
  (sqrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0))))
  (sqrt (sqrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))))
  (sqrt (sqrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))))
  (sqrt 1)
  (sqrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0))))
  (sqrt (sqrt (+ (pow 1.0 3) (pow (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0) 3))))
  (sqrt (sqrt (+ (* 1.0 1.0) (- (* (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0) (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)) (* 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0))))))
  (sqrt (sqrt (- (* 1.0 1.0) (* (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0) (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))))
  (sqrt (sqrt (- 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0))))
  (/ 1/2 2)
  (/ 1 2)
  (/ (/ 1 2) 2)
  (sqrt (sqrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))))
  (sqrt (sqrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))))
  (log (sqrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))))
  (exp (sqrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))))
  (* (cbrt (sqrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0))))) (cbrt (sqrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0))))))
  (cbrt (sqrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))))
  (* (* (sqrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))) (sqrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0))))) (sqrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))))
  (sqrt (* (cbrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))) (cbrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0))))))
  (sqrt (cbrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))))
  (sqrt (sqrt (* (cbrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0))) (cbrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0))))))
  (sqrt (sqrt (cbrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))))
  (sqrt (sqrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))))
  (sqrt (sqrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))))
  (sqrt (sqrt 1))
  (sqrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0))))
  (sqrt (sqrt 1))
  (sqrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0))))
  (sqrt (sqrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))))
  (sqrt (sqrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))))
  (sqrt 1)
  (sqrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0))))
  (sqrt (sqrt (+ (pow 1.0 3) (pow (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0) 3))))
  (sqrt (sqrt (+ (* 1.0 1.0) (- (* (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0) (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)) (* 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0))))))
  (sqrt (sqrt (- (* 1.0 1.0) (* (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0) (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))))
  (sqrt (sqrt (- 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0))))
  (/ 1/2 2)
  (/ 1 2)
  (/ (/ 1 2) 2)
  (sqrt (sqrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))))
  (sqrt (sqrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))))
  (sqrt 1.0)
  (/ (* (sqrt 0.25) U) (* (cos (* 0.5 K)) J))
  (/ (* (sqrt 0.25) U) (* (cos (* 0.5 K)) J))
  (sqrt 1.0)
  (/ (* (sqrt 0.25) U) (* (cos (* 0.5 K)) J))
  (/ (* (sqrt 0.25) U) (* (cos (* 0.5 K)) J))
  (pow 1.0 1/4)
  (exp (* 1/4 (- (+ (log (/ 0.25 (pow (cos (* 0.5 K)) 2))) (* 2 (log (/ 1 J)))) (* 2 (log (/ 1 U))))))
  (exp (* 1/4 (- (+ (log (/ 0.25 (pow (cos (* 0.5 K)) 2))) (* 2 (log (/ -1 J)))) (* 2 (log (/ -1 U))))))
  (pow 1.0 1/4)
  (exp (* 1/4 (- (+ (log (/ 0.25 (pow (cos (* 0.5 K)) 2))) (* 2 (log (/ 1 J)))) (* 2 (log (/ 1 U))))))
  (exp (* 1/4 (- (+ (log (/ 0.25 (pow (cos (* 0.5 K)) 2))) (* 2 (log (/ -1 J)))) (* 2 (log (/ -1 U))))))
7.474 * * [simplify]: iteration 0: 97 enodes
7.493 * * [simplify]: iteration 1: 194 enodes
7.548 * * [simplify]: iteration 2: 471 enodes
7.747 * * [simplify]: iteration 3: 1462 enodes
8.075 * * [simplify]: iteration complete: 5000 enodes
8.075 * * [simplify]: Extracting #0: cost 35 inf + 0
8.075 * * [simplify]: Extracting #1: cost 165 inf + 3
8.076 * * [simplify]: Extracting #2: cost 565 inf + 15
8.081 * * [simplify]: Extracting #3: cost 1541 inf + 170
8.086 * * [simplify]: Extracting #4: cost 1713 inf + 1044
8.093 * * [simplify]: Extracting #5: cost 1529 inf + 2116
8.104 * * [simplify]: Extracting #6: cost 1288 inf + 3893
8.118 * * [simplify]: Extracting #7: cost 825 inf + 9858
8.130 * * [simplify]: Extracting #8: cost 218 inf + 23461
8.141 * * [simplify]: Extracting #9: cost 83 inf + 27687
8.147 * * [simplify]: Extracting #10: cost 14 inf + 29780
8.153 * * [simplify]: Extracting #11: cost 0 inf + 30350
8.159 * [simplify]: Simplified to:
  (log (sqrt (+ 1.0 (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) 2.0))))
  (exp (sqrt (+ 1.0 (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) 2.0))))
  (* (cbrt (sqrt (+ 1.0 (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) 2.0)))) (cbrt (sqrt (+ 1.0 (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) 2.0)))))
  (cbrt (sqrt (+ 1.0 (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) 2.0))))
  (pow (sqrt (+ 1.0 (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) 2.0))) 3)
  (fabs (cbrt (+ 1.0 (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) 2.0))))
  (sqrt (cbrt (+ 1.0 (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) 2.0))))
  (sqrt (sqrt (+ 1.0 (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) 2.0))))
  (sqrt (sqrt (+ 1.0 (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) 2.0))))
  1
  (sqrt (+ 1.0 (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) 2.0)))
  1
  (sqrt (+ 1.0 (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) 2.0)))
  (sqrt (+ (pow 1.0 3) (pow (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) 2.0) 3)))
  (sqrt (+ (* 1.0 (- 1.0 (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) 2.0))) (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) (* 2 2.0))))
  (sqrt (- (* 1.0 1.0) (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) (* 2 2.0))))
  (sqrt (- 1.0 (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) 2.0)))
  1/2
  (sqrt (sqrt (+ 1.0 (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) 2.0))))
  (sqrt (sqrt (+ 1.0 (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) 2.0))))
  (log (sqrt (+ 1.0 (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) 2.0))))
  (exp (sqrt (+ 1.0 (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) 2.0))))
  (* (cbrt (sqrt (+ 1.0 (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) 2.0)))) (cbrt (sqrt (+ 1.0 (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) 2.0)))))
  (cbrt (sqrt (+ 1.0 (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) 2.0))))
  (pow (sqrt (+ 1.0 (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) 2.0))) 3)
  (fabs (cbrt (+ 1.0 (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) 2.0))))
  (sqrt (cbrt (+ 1.0 (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) 2.0))))
  (sqrt (sqrt (+ 1.0 (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) 2.0))))
  (sqrt (sqrt (+ 1.0 (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) 2.0))))
  1
  (sqrt (+ 1.0 (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) 2.0)))
  1
  (sqrt (+ 1.0 (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) 2.0)))
  (sqrt (+ (pow 1.0 3) (pow (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) 2.0) 3)))
  (sqrt (+ (* 1.0 (- 1.0 (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) 2.0))) (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) (* 2 2.0))))
  (sqrt (- (* 1.0 1.0) (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) (* 2 2.0))))
  (sqrt (- 1.0 (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) 2.0)))
  1/2
  (sqrt (sqrt (+ 1.0 (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) 2.0))))
  (sqrt (sqrt (+ 1.0 (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) 2.0))))
  (log (sqrt (sqrt (+ 1.0 (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) 2.0)))))
  (exp (sqrt (sqrt (+ 1.0 (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) 2.0)))))
  (* (cbrt (sqrt (sqrt (+ 1.0 (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) 2.0))))) (cbrt (sqrt (sqrt (+ 1.0 (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) 2.0))))))
  (cbrt (sqrt (sqrt (+ 1.0 (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) 2.0)))))
  (pow (sqrt (sqrt (+ 1.0 (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) 2.0)))) 3)
  (fabs (cbrt (sqrt (+ 1.0 (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) 2.0)))))
  (sqrt (cbrt (sqrt (+ 1.0 (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) 2.0)))))
  (sqrt (fabs (cbrt (+ 1.0 (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) 2.0)))))
  (sqrt (sqrt (cbrt (+ 1.0 (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) 2.0)))))
  (sqrt (sqrt (sqrt (+ 1.0 (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) 2.0)))))
  (sqrt (sqrt (sqrt (+ 1.0 (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) 2.0)))))
  1
  (sqrt (sqrt (+ 1.0 (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) 2.0))))
  1
  (sqrt (sqrt (+ 1.0 (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) 2.0))))
  (sqrt (sqrt (sqrt (+ 1.0 (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) 2.0)))))
  (sqrt (sqrt (sqrt (+ 1.0 (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) 2.0)))))
  1
  (sqrt (sqrt (+ 1.0 (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) 2.0))))
  (sqrt (sqrt (+ (pow 1.0 3) (pow (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) 2.0) 3))))
  (sqrt (sqrt (+ (* 1.0 (- 1.0 (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) 2.0))) (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) (* 2 2.0)))))
  (sqrt (sqrt (- (* 1.0 1.0) (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) (* 2 2.0)))))
  (sqrt (sqrt (- 1.0 (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) 2.0))))
  1/4
  1/2
  1/4
  (sqrt (sqrt (sqrt (+ 1.0 (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) 2.0)))))
  (sqrt (sqrt (sqrt (+ 1.0 (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) 2.0)))))
  (log (sqrt (sqrt (+ 1.0 (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) 2.0)))))
  (exp (sqrt (sqrt (+ 1.0 (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) 2.0)))))
  (* (cbrt (sqrt (sqrt (+ 1.0 (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) 2.0))))) (cbrt (sqrt (sqrt (+ 1.0 (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) 2.0))))))
  (cbrt (sqrt (sqrt (+ 1.0 (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) 2.0)))))
  (pow (sqrt (sqrt (+ 1.0 (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) 2.0)))) 3)
  (fabs (cbrt (sqrt (+ 1.0 (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) 2.0)))))
  (sqrt (cbrt (sqrt (+ 1.0 (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) 2.0)))))
  (sqrt (fabs (cbrt (+ 1.0 (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) 2.0)))))
  (sqrt (sqrt (cbrt (+ 1.0 (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) 2.0)))))
  (sqrt (sqrt (sqrt (+ 1.0 (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) 2.0)))))
  (sqrt (sqrt (sqrt (+ 1.0 (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) 2.0)))))
  1
  (sqrt (sqrt (+ 1.0 (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) 2.0))))
  1
  (sqrt (sqrt (+ 1.0 (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) 2.0))))
  (sqrt (sqrt (sqrt (+ 1.0 (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) 2.0)))))
  (sqrt (sqrt (sqrt (+ 1.0 (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) 2.0)))))
  1
  (sqrt (sqrt (+ 1.0 (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) 2.0))))
  (sqrt (sqrt (+ (pow 1.0 3) (pow (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) 2.0) 3))))
  (sqrt (sqrt (+ (* 1.0 (- 1.0 (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) 2.0))) (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) (* 2 2.0)))))
  (sqrt (sqrt (- (* 1.0 1.0) (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) (* 2 2.0)))))
  (sqrt (sqrt (- 1.0 (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) 2.0))))
  1/4
  1/2
  1/4
  (sqrt (sqrt (sqrt (+ 1.0 (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) 2.0)))))
  (sqrt (sqrt (sqrt (+ 1.0 (pow (/ (/ (/ U J) 2.0) (cos (/ K 2.0))) 2.0)))))
  (sqrt 1.0)
  (/ (/ (sqrt 0.25) (/ J U)) (cos (* K 0.5)))
  (/ (/ (sqrt 0.25) (/ J U)) (cos (* K 0.5)))
  (sqrt 1.0)
  (/ (/ (sqrt 0.25) (/ J U)) (cos (* K 0.5)))
  (/ (/ (sqrt 0.25) (/ J U)) (cos (* K 0.5)))
  (pow 1.0 1/4)
  (pow (* (/ 0.25 (pow (cos (* K 0.5)) 2)) (/ (pow J -2) (pow U -2))) 1/4)
  (* (pow (/ -1 U) -1/2) (pow (* (pow (/ -1 J) 2) (/ 0.25 (pow (cos (* K 0.5)) 2))) 1/4))
  (pow 1.0 1/4)
  (pow (* (/ 0.25 (pow (cos (* K 0.5)) 2)) (/ (pow J -2) (pow U -2))) 1/4)
  (* (pow (/ -1 U) -1/2) (pow (* (pow (/ -1 J) 2) (/ 0.25 (pow (cos (* K 0.5)) 2))) 1/4))
8.160 * * * [progress]: adding candidates to table
8.877 * * [progress]: iteration 3 / 4
8.877 * * * [progress]: picking best candidate
8.917 * * * * [pick]: Picked  #<alt (λ (J K U) (* (* (* (* -2.0 (* J (cbrt (cos (/ K 2.0))))) (cbrt (cos (/ K 2.0)))) (cbrt (cos (/ K 2.0)))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))))>
8.917 * * * [progress]: localizing error
8.952 * * * [progress]: generating rewritten candidates
8.952 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
9.004 * * * * [progress]: [ 2 / 4 ] rewriting at (2)
10.001 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2)
10.003 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2)
10.008 * * * [progress]: generating series expansions
10.008 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
10.008 * [backup-simplify]: Simplify (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0))) into (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0))
10.008 * [approximate]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0)) in (U J K) around 0
10.008 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0)) in K
10.008 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0) in K
10.008 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) in K
10.009 * [taylor]: Taking taylor expansion of 0.25 in K
10.009 * [backup-simplify]: Simplify 0.25 into 0.25
10.009 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2))) in K
10.009 * [taylor]: Taking taylor expansion of (pow U 2) in K
10.009 * [taylor]: Taking taylor expansion of U in K
10.009 * [backup-simplify]: Simplify U into U
10.009 * [taylor]: Taking taylor expansion of (* (pow J 2) (pow (cos (* 0.5 K)) 2)) in K
10.009 * [taylor]: Taking taylor expansion of (pow J 2) in K
10.009 * [taylor]: Taking taylor expansion of J in K
10.009 * [backup-simplify]: Simplify J into J
10.009 * [taylor]: Taking taylor expansion of (pow (cos (* 0.5 K)) 2) in K
10.009 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in K
10.009 * [taylor]: Taking taylor expansion of (* 0.5 K) in K
10.009 * [taylor]: Taking taylor expansion of 0.5 in K
10.009 * [backup-simplify]: Simplify 0.5 into 0.5
10.009 * [taylor]: Taking taylor expansion of K in K
10.009 * [backup-simplify]: Simplify 0 into 0
10.009 * [backup-simplify]: Simplify 1 into 1
10.009 * [backup-simplify]: Simplify (* 0.5 0) into 0
10.010 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5
10.010 * [backup-simplify]: Simplify (* U U) into (pow U 2)
10.010 * [backup-simplify]: Simplify (* J J) into (pow J 2)
10.011 * [backup-simplify]: Simplify (* 1 1) into 1
10.011 * [backup-simplify]: Simplify (* (pow J 2) 1) into (pow J 2)
10.011 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
10.011 * [taylor]: Taking taylor expansion of 1.0 in K
10.011 * [backup-simplify]: Simplify 1.0 into 1.0
10.011 * [backup-simplify]: Simplify (* 0.25 (/ (pow U 2) (pow J 2))) into (* 0.25 (/ (pow U 2) (pow J 2)))
10.011 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow U 2) (pow J 2))) 1.0) into (+ (* 0.25 (/ (pow U 2) (pow J 2))) 1.0)
10.011 * [backup-simplify]: Simplify (sqrt (+ (* 0.25 (/ (pow U 2) (pow J 2))) 1.0)) into (sqrt (+ (* 0.25 (/ (pow U 2) (pow J 2))) 1.0))
10.012 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
10.012 * [backup-simplify]: Simplify (+ 0) into 0
10.012 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.012 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
10.013 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (* 0 1)) into 0
10.013 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
10.013 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
10.014 * [backup-simplify]: Simplify (+ 0 0) into 0
10.014 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 0.25 (/ (pow U 2) (pow J 2))) 1.0)))) into 0
10.014 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0)) in J
10.014 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0) in J
10.014 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) in J
10.014 * [taylor]: Taking taylor expansion of 0.25 in J
10.014 * [backup-simplify]: Simplify 0.25 into 0.25
10.014 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2))) in J
10.014 * [taylor]: Taking taylor expansion of (pow U 2) in J
10.014 * [taylor]: Taking taylor expansion of U in J
10.014 * [backup-simplify]: Simplify U into U
10.014 * [taylor]: Taking taylor expansion of (* (pow J 2) (pow (cos (* 0.5 K)) 2)) in J
10.014 * [taylor]: Taking taylor expansion of (pow J 2) in J
10.014 * [taylor]: Taking taylor expansion of J in J
10.014 * [backup-simplify]: Simplify 0 into 0
10.014 * [backup-simplify]: Simplify 1 into 1
10.014 * [taylor]: Taking taylor expansion of (pow (cos (* 0.5 K)) 2) in J
10.014 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in J
10.014 * [taylor]: Taking taylor expansion of (* 0.5 K) in J
10.014 * [taylor]: Taking taylor expansion of 0.5 in J
10.014 * [backup-simplify]: Simplify 0.5 into 0.5
10.014 * [taylor]: Taking taylor expansion of K in J
10.014 * [backup-simplify]: Simplify K into K
10.014 * [backup-simplify]: Simplify (* 0.5 K) into (* 0.5 K)
10.014 * [backup-simplify]: Simplify (cos (* 0.5 K)) into (cos (* 0.5 K))
10.014 * [backup-simplify]: Simplify (sin (* 0.5 K)) into (sin (* 0.5 K))
10.014 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) 1) into (cos (* 0.5 K))
10.015 * [backup-simplify]: Simplify (* (sin (* 0.5 K)) 0) into 0
10.015 * [backup-simplify]: Simplify (- 0) into 0
10.015 * [backup-simplify]: Simplify (+ (cos (* 0.5 K)) 0) into (cos (* 0.5 K))
10.015 * [backup-simplify]: Simplify (* U U) into (pow U 2)
10.015 * [backup-simplify]: Simplify (* 1 1) into 1
10.016 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) (cos (* 0.5 K))) into (pow (cos (* 0.5 K)) 2)
10.016 * [backup-simplify]: Simplify (* 1 (pow (cos (* 0.5 K)) 2)) into (pow (cos (* 0.5 K)) 2)
10.016 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 0.5 K)) 2)) into (/ (pow U 2) (pow (cos (* 0.5 K)) 2))
10.016 * [taylor]: Taking taylor expansion of 1.0 in J
10.016 * [backup-simplify]: Simplify 1.0 into 1.0
10.016 * [backup-simplify]: Simplify (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2))) into (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2)))
10.016 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2))) 0) into (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2)))
10.017 * [backup-simplify]: Simplify (sqrt (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2)))) into (/ (* (sqrt 0.25) U) (cos (* 0.5 K)))
10.017 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
10.017 * [backup-simplify]: Simplify (+ 0) into 0
10.017 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (* 0 1)) into 0
10.018 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 K)) into 0
10.018 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.018 * [backup-simplify]: Simplify (+ (* (sin (* 0.5 K)) 0) (* 0 0)) into 0
10.019 * [backup-simplify]: Simplify (- 0) into 0
10.019 * [backup-simplify]: Simplify (+ 0 0) into 0
10.019 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (* 0 (cos (* 0.5 K)))) into 0
10.019 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.020 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (* 0.5 K)) 2))) into 0
10.020 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 0.5 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 0.5 K)) 2)) (/ 0 (pow (cos (* 0.5 K)) 2))))) into 0
10.021 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow U 2) (pow (cos (* 0.5 K)) 2)))) into 0
10.021 * [backup-simplify]: Simplify (+ 0 0) into 0
10.021 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2)))))) into 0
10.021 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0)) in U
10.021 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0) in U
10.021 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) in U
10.021 * [taylor]: Taking taylor expansion of 0.25 in U
10.021 * [backup-simplify]: Simplify 0.25 into 0.25
10.021 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2))) in U
10.021 * [taylor]: Taking taylor expansion of (pow U 2) in U
10.021 * [taylor]: Taking taylor expansion of U in U
10.021 * [backup-simplify]: Simplify 0 into 0
10.021 * [backup-simplify]: Simplify 1 into 1
10.021 * [taylor]: Taking taylor expansion of (* (pow J 2) (pow (cos (* 0.5 K)) 2)) in U
10.021 * [taylor]: Taking taylor expansion of (pow J 2) in U
10.021 * [taylor]: Taking taylor expansion of J in U
10.021 * [backup-simplify]: Simplify J into J
10.021 * [taylor]: Taking taylor expansion of (pow (cos (* 0.5 K)) 2) in U
10.021 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in U
10.021 * [taylor]: Taking taylor expansion of (* 0.5 K) in U
10.021 * [taylor]: Taking taylor expansion of 0.5 in U
10.021 * [backup-simplify]: Simplify 0.5 into 0.5
10.021 * [taylor]: Taking taylor expansion of K in U
10.021 * [backup-simplify]: Simplify K into K
10.022 * [backup-simplify]: Simplify (* 0.5 K) into (* 0.5 K)
10.022 * [backup-simplify]: Simplify (cos (* 0.5 K)) into (cos (* 0.5 K))
10.022 * [backup-simplify]: Simplify (sin (* 0.5 K)) into (sin (* 0.5 K))
10.022 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) 1) into (cos (* 0.5 K))
10.022 * [backup-simplify]: Simplify (* (sin (* 0.5 K)) 0) into 0
10.022 * [backup-simplify]: Simplify (- 0) into 0
10.022 * [backup-simplify]: Simplify (+ (cos (* 0.5 K)) 0) into (cos (* 0.5 K))
10.024 * [backup-simplify]: Simplify (* 1 1) into 1
10.024 * [backup-simplify]: Simplify (* J J) into (pow J 2)
10.024 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) (cos (* 0.5 K))) into (pow (cos (* 0.5 K)) 2)
10.024 * [backup-simplify]: Simplify (* (pow J 2) (pow (cos (* 0.5 K)) 2)) into (* (pow J 2) (pow (cos (* 0.5 K)) 2))
10.024 * [backup-simplify]: Simplify (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2))) into (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2)))
10.024 * [taylor]: Taking taylor expansion of 1.0 in U
10.024 * [backup-simplify]: Simplify 1.0 into 1.0
10.025 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
10.025 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
10.025 * [backup-simplify]: Simplify (+ 0 0) into 0
10.026 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
10.026 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0)) in U
10.026 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0) in U
10.026 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) in U
10.026 * [taylor]: Taking taylor expansion of 0.25 in U
10.026 * [backup-simplify]: Simplify 0.25 into 0.25
10.026 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2))) in U
10.026 * [taylor]: Taking taylor expansion of (pow U 2) in U
10.026 * [taylor]: Taking taylor expansion of U in U
10.026 * [backup-simplify]: Simplify 0 into 0
10.026 * [backup-simplify]: Simplify 1 into 1
10.026 * [taylor]: Taking taylor expansion of (* (pow J 2) (pow (cos (* 0.5 K)) 2)) in U
10.026 * [taylor]: Taking taylor expansion of (pow J 2) in U
10.026 * [taylor]: Taking taylor expansion of J in U
10.026 * [backup-simplify]: Simplify J into J
10.026 * [taylor]: Taking taylor expansion of (pow (cos (* 0.5 K)) 2) in U
10.026 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in U
10.026 * [taylor]: Taking taylor expansion of (* 0.5 K) in U
10.026 * [taylor]: Taking taylor expansion of 0.5 in U
10.026 * [backup-simplify]: Simplify 0.5 into 0.5
10.026 * [taylor]: Taking taylor expansion of K in U
10.026 * [backup-simplify]: Simplify K into K
10.026 * [backup-simplify]: Simplify (* 0.5 K) into (* 0.5 K)
10.026 * [backup-simplify]: Simplify (cos (* 0.5 K)) into (cos (* 0.5 K))
10.026 * [backup-simplify]: Simplify (sin (* 0.5 K)) into (sin (* 0.5 K))
10.026 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) 1) into (cos (* 0.5 K))
10.026 * [backup-simplify]: Simplify (* (sin (* 0.5 K)) 0) into 0
10.027 * [backup-simplify]: Simplify (- 0) into 0
10.027 * [backup-simplify]: Simplify (+ (cos (* 0.5 K)) 0) into (cos (* 0.5 K))
10.027 * [backup-simplify]: Simplify (* 1 1) into 1
10.027 * [backup-simplify]: Simplify (* J J) into (pow J 2)
10.027 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) (cos (* 0.5 K))) into (pow (cos (* 0.5 K)) 2)
10.027 * [backup-simplify]: Simplify (* (pow J 2) (pow (cos (* 0.5 K)) 2)) into (* (pow J 2) (pow (cos (* 0.5 K)) 2))
10.027 * [backup-simplify]: Simplify (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2))) into (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2)))
10.027 * [taylor]: Taking taylor expansion of 1.0 in U
10.028 * [backup-simplify]: Simplify 1.0 into 1.0
10.028 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
10.028 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
10.028 * [backup-simplify]: Simplify (+ 0 0) into 0
10.029 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
10.029 * [taylor]: Taking taylor expansion of (sqrt 1.0) in J
10.029 * [taylor]: Taking taylor expansion of 1.0 in J
10.029 * [backup-simplify]: Simplify 1.0 into 1.0
10.029 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
10.030 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
10.030 * [taylor]: Taking taylor expansion of 0 in J
10.030 * [backup-simplify]: Simplify 0 into 0
10.030 * [taylor]: Taking taylor expansion of (sqrt 1.0) in K
10.030 * [taylor]: Taking taylor expansion of 1.0 in K
10.030 * [backup-simplify]: Simplify 1.0 into 1.0
10.030 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
10.030 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
10.031 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
10.031 * [backup-simplify]: Simplify (* 0.25 (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) into (/ 0.25 (* (pow J 2) (pow (cos (* 0.5 K)) 2)))
10.031 * [backup-simplify]: Simplify (+ (/ 0.25 (* (pow J 2) (pow (cos (* 0.5 K)) 2))) 0) into (* 0.25 (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2))))
10.032 * [backup-simplify]: Simplify (/ (- (* 0.25 (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ 0.125 (* (sqrt 1.0) (* (pow J 2) (pow (cos (* 0.5 K)) 2))))
10.032 * [taylor]: Taking taylor expansion of (/ 0.125 (* (sqrt 1.0) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) in J
10.032 * [taylor]: Taking taylor expansion of 0.125 in J
10.032 * [backup-simplify]: Simplify 0.125 into 0.125
10.032 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (* (pow J 2) (pow (cos (* 0.5 K)) 2))) in J
10.033 * [taylor]: Taking taylor expansion of (sqrt 1.0) in J
10.033 * [taylor]: Taking taylor expansion of 1.0 in J
10.033 * [backup-simplify]: Simplify 1.0 into 1.0
10.033 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
10.033 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
10.033 * [taylor]: Taking taylor expansion of (* (pow J 2) (pow (cos (* 0.5 K)) 2)) in J
10.033 * [taylor]: Taking taylor expansion of (pow J 2) in J
10.033 * [taylor]: Taking taylor expansion of J in J
10.033 * [backup-simplify]: Simplify 0 into 0
10.033 * [backup-simplify]: Simplify 1 into 1
10.033 * [taylor]: Taking taylor expansion of (pow (cos (* 0.5 K)) 2) in J
10.033 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in J
10.033 * [taylor]: Taking taylor expansion of (* 0.5 K) in J
10.033 * [taylor]: Taking taylor expansion of 0.5 in J
10.033 * [backup-simplify]: Simplify 0.5 into 0.5
10.033 * [taylor]: Taking taylor expansion of K in J
10.033 * [backup-simplify]: Simplify K into K
10.033 * [backup-simplify]: Simplify (* 0.5 K) into (* 0.5 K)
10.034 * [backup-simplify]: Simplify (cos (* 0.5 K)) into (cos (* 0.5 K))
10.034 * [backup-simplify]: Simplify (sin (* 0.5 K)) into (sin (* 0.5 K))
10.034 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) 1) into (cos (* 0.5 K))
10.034 * [backup-simplify]: Simplify (* (sin (* 0.5 K)) 0) into 0
10.034 * [backup-simplify]: Simplify (- 0) into 0
10.034 * [backup-simplify]: Simplify (+ (cos (* 0.5 K)) 0) into (cos (* 0.5 K))
10.034 * [backup-simplify]: Simplify (* 1 1) into 1
10.034 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) (cos (* 0.5 K))) into (pow (cos (* 0.5 K)) 2)
10.034 * [backup-simplify]: Simplify (* 1 (pow (cos (* 0.5 K)) 2)) into (pow (cos (* 0.5 K)) 2)
10.035 * [backup-simplify]: Simplify (* (sqrt 1.0) (pow (cos (* 0.5 K)) 2)) into (* (sqrt 1.0) (pow (cos (* 0.5 K)) 2))
10.035 * [backup-simplify]: Simplify (/ 0.125 (* (sqrt 1.0) (pow (cos (* 0.5 K)) 2))) into (/ 0.125 (* (sqrt 1.0) (pow (cos (* 0.5 K)) 2)))
10.035 * [backup-simplify]: Simplify (+ 0) into 0
10.036 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (* 0 1)) into 0
10.036 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 K)) into 0
10.037 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.037 * [backup-simplify]: Simplify (+ (* (sin (* 0.5 K)) 0) (* 0 0)) into 0
10.037 * [backup-simplify]: Simplify (- 0) into 0
10.037 * [backup-simplify]: Simplify (+ 0 0) into 0
10.038 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (* 0 (cos (* 0.5 K)))) into 0
10.038 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.038 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (* 0.5 K)) 2))) into 0
10.039 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (pow (cos (* 0.5 K)) 2))) into 0
10.040 * [backup-simplify]: Simplify (- (/ 0 (* (sqrt 1.0) (pow (cos (* 0.5 K)) 2))) (+ (* (/ 0.125 (* (sqrt 1.0) (pow (cos (* 0.5 K)) 2))) (/ 0 (* (sqrt 1.0) (pow (cos (* 0.5 K)) 2)))))) into 0
10.040 * [taylor]: Taking taylor expansion of 0 in K
10.040 * [backup-simplify]: Simplify 0 into 0
10.040 * [backup-simplify]: Simplify 0 into 0
10.040 * [taylor]: Taking taylor expansion of 0 in K
10.040 * [backup-simplify]: Simplify 0 into 0
10.040 * [backup-simplify]: Simplify 0 into 0
10.040 * [taylor]: Taking taylor expansion of 0 in K
10.040 * [backup-simplify]: Simplify 0 into 0
10.040 * [backup-simplify]: Simplify 0 into 0
10.040 * [backup-simplify]: Simplify 0 into 0
10.041 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.041 * [backup-simplify]: Simplify (+ 0) into 0
10.042 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (* 0 1)) into 0
10.043 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 K)) into 0
10.043 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.044 * [backup-simplify]: Simplify (+ (* (sin (* 0.5 K)) 0) (* 0 0)) into 0
10.044 * [backup-simplify]: Simplify (- 0) into 0
10.045 * [backup-simplify]: Simplify (+ 0 0) into 0
10.045 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (* 0 (cos (* 0.5 K)))) into 0
10.045 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
10.045 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (* 0 (pow (cos (* 0.5 K)) 2))) into 0
10.046 * [backup-simplify]: Simplify (- (/ 0 (* (pow J 2) (pow (cos (* 0.5 K)) 2))) (+ (* (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2))) (/ 0 (* (pow J 2) (pow (cos (* 0.5 K)) 2)))))) into 0
10.047 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2))))) into 0
10.048 * [backup-simplify]: Simplify (+ 0 0) into 0
10.049 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.125 (* (sqrt 1.0) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))))))) (* 2 (sqrt 1.0))) into 0
10.050 * [taylor]: Taking taylor expansion of 0 in J
10.050 * [backup-simplify]: Simplify 0 into 0
10.051 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.051 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (+ (* 0 0) (* 0 1))) into 0
10.052 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 K))) into 0
10.053 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.054 * [backup-simplify]: Simplify (+ (* (sin (* 0.5 K)) 0) (+ (* 0 0) (* 0 0))) into 0
10.054 * [backup-simplify]: Simplify (- 0) into 0
10.054 * [backup-simplify]: Simplify (+ 0 0) into 0
10.055 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (+ (* 0 0) (* 0 (cos (* 0.5 K))))) into 0
10.056 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (* 0.5 K)) 2)))) into 0
10.058 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
10.060 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* 0 (pow (cos (* 0.5 K)) 2)))) into 0
10.063 * [backup-simplify]: Simplify (- (/ 0 (* (sqrt 1.0) (pow (cos (* 0.5 K)) 2))) (+ (* (/ 0.125 (* (sqrt 1.0) (pow (cos (* 0.5 K)) 2))) (/ 0 (* (sqrt 1.0) (pow (cos (* 0.5 K)) 2)))) (* 0 (/ 0 (* (sqrt 1.0) (pow (cos (* 0.5 K)) 2)))))) into 0
10.063 * [taylor]: Taking taylor expansion of 0 in K
10.063 * [backup-simplify]: Simplify 0 into 0
10.063 * [backup-simplify]: Simplify 0 into 0
10.063 * [taylor]: Taking taylor expansion of 0 in K
10.063 * [backup-simplify]: Simplify 0 into 0
10.063 * [backup-simplify]: Simplify 0 into 0
10.063 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
10.064 * [backup-simplify]: Simplify (sqrt (+ 1.0 (pow (/ (/ 1 U) (* (* 2.0 (/ 1 J)) (cos (/ (/ 1 K) 2.0)))) 2.0))) into (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0))
10.064 * [approximate]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) in (U J K) around 0
10.064 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) in K
10.064 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0) in K
10.064 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) in K
10.064 * [taylor]: Taking taylor expansion of 0.25 in K
10.064 * [backup-simplify]: Simplify 0.25 into 0.25
10.064 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))) in K
10.064 * [taylor]: Taking taylor expansion of (pow J 2) in K
10.064 * [taylor]: Taking taylor expansion of J in K
10.064 * [backup-simplify]: Simplify J into J
10.064 * [taylor]: Taking taylor expansion of (* (pow (cos (/ 0.5 K)) 2) (pow U 2)) in K
10.064 * [taylor]: Taking taylor expansion of (pow (cos (/ 0.5 K)) 2) in K
10.064 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in K
10.064 * [taylor]: Taking taylor expansion of (/ 0.5 K) in K
10.065 * [taylor]: Taking taylor expansion of 0.5 in K
10.065 * [backup-simplify]: Simplify 0.5 into 0.5
10.065 * [taylor]: Taking taylor expansion of K in K
10.065 * [backup-simplify]: Simplify 0 into 0
10.065 * [backup-simplify]: Simplify 1 into 1
10.066 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5
10.066 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
10.066 * [taylor]: Taking taylor expansion of (pow U 2) in K
10.066 * [taylor]: Taking taylor expansion of U in K
10.066 * [backup-simplify]: Simplify U into U
10.066 * [backup-simplify]: Simplify (* J J) into (pow J 2)
10.066 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) (cos (/ 0.5 K))) into (pow (cos (/ 0.5 K)) 2)
10.066 * [backup-simplify]: Simplify (* U U) into (pow U 2)
10.066 * [backup-simplify]: Simplify (* (pow (cos (/ 0.5 K)) 2) (pow U 2)) into (* (pow U 2) (pow (cos (/ 0.5 K)) 2))
10.067 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 0.5 K)) 2))) into (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))
10.067 * [taylor]: Taking taylor expansion of 1.0 in K
10.067 * [backup-simplify]: Simplify 1.0 into 1.0
10.067 * [backup-simplify]: Simplify (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) into (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))))
10.068 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0) into (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)
10.068 * [backup-simplify]: Simplify (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) into (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0))
10.068 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
10.068 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
10.069 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 (cos (/ 0.5 K)))) into 0
10.069 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 0.5 K)) 2) 0) (* 0 (pow U 2))) into 0
10.070 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 0.5 K)) 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))) (/ 0 (* (pow U 2) (pow (cos (/ 0.5 K)) 2)))))) into 0
10.071 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))))) into 0
10.071 * [backup-simplify]: Simplify (+ 0 0) into 0
10.072 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)))) into 0
10.072 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) in J
10.072 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0) in J
10.072 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) in J
10.072 * [taylor]: Taking taylor expansion of 0.25 in J
10.072 * [backup-simplify]: Simplify 0.25 into 0.25
10.072 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))) in J
10.072 * [taylor]: Taking taylor expansion of (pow J 2) in J
10.072 * [taylor]: Taking taylor expansion of J in J
10.072 * [backup-simplify]: Simplify 0 into 0
10.072 * [backup-simplify]: Simplify 1 into 1
10.072 * [taylor]: Taking taylor expansion of (* (pow (cos (/ 0.5 K)) 2) (pow U 2)) in J
10.072 * [taylor]: Taking taylor expansion of (pow (cos (/ 0.5 K)) 2) in J
10.072 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in J
10.072 * [taylor]: Taking taylor expansion of (/ 0.5 K) in J
10.072 * [taylor]: Taking taylor expansion of 0.5 in J
10.072 * [backup-simplify]: Simplify 0.5 into 0.5
10.072 * [taylor]: Taking taylor expansion of K in J
10.072 * [backup-simplify]: Simplify K into K
10.072 * [backup-simplify]: Simplify (/ 0.5 K) into (/ 0.5 K)
10.072 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
10.073 * [backup-simplify]: Simplify (sin (/ 0.5 K)) into (sin (/ 0.5 K))
10.073 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
10.073 * [backup-simplify]: Simplify (* (sin (/ 0.5 K)) 0) into 0
10.073 * [backup-simplify]: Simplify (- 0) into 0
10.073 * [backup-simplify]: Simplify (+ (cos (/ 0.5 K)) 0) into (cos (/ 0.5 K))
10.073 * [taylor]: Taking taylor expansion of (pow U 2) in J
10.073 * [taylor]: Taking taylor expansion of U in J
10.073 * [backup-simplify]: Simplify U into U
10.074 * [backup-simplify]: Simplify (* 1 1) into 1
10.074 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) (cos (/ 0.5 K))) into (pow (cos (/ 0.5 K)) 2)
10.074 * [backup-simplify]: Simplify (* U U) into (pow U 2)
10.074 * [backup-simplify]: Simplify (* (pow (cos (/ 0.5 K)) 2) (pow U 2)) into (* (pow U 2) (pow (cos (/ 0.5 K)) 2))
10.074 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 0.5 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 0.5 K)) 2)))
10.075 * [taylor]: Taking taylor expansion of 1.0 in J
10.075 * [backup-simplify]: Simplify 1.0 into 1.0
10.075 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
10.075 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
10.076 * [backup-simplify]: Simplify (+ 0 0) into 0
10.077 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
10.077 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) in U
10.077 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0) in U
10.077 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) in U
10.077 * [taylor]: Taking taylor expansion of 0.25 in U
10.077 * [backup-simplify]: Simplify 0.25 into 0.25
10.077 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))) in U
10.077 * [taylor]: Taking taylor expansion of (pow J 2) in U
10.077 * [taylor]: Taking taylor expansion of J in U
10.077 * [backup-simplify]: Simplify J into J
10.077 * [taylor]: Taking taylor expansion of (* (pow (cos (/ 0.5 K)) 2) (pow U 2)) in U
10.077 * [taylor]: Taking taylor expansion of (pow (cos (/ 0.5 K)) 2) in U
10.077 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in U
10.077 * [taylor]: Taking taylor expansion of (/ 0.5 K) in U
10.077 * [taylor]: Taking taylor expansion of 0.5 in U
10.077 * [backup-simplify]: Simplify 0.5 into 0.5
10.077 * [taylor]: Taking taylor expansion of K in U
10.077 * [backup-simplify]: Simplify K into K
10.077 * [backup-simplify]: Simplify (/ 0.5 K) into (/ 0.5 K)
10.077 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
10.077 * [backup-simplify]: Simplify (sin (/ 0.5 K)) into (sin (/ 0.5 K))
10.078 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
10.078 * [backup-simplify]: Simplify (* (sin (/ 0.5 K)) 0) into 0
10.078 * [backup-simplify]: Simplify (- 0) into 0
10.078 * [backup-simplify]: Simplify (+ (cos (/ 0.5 K)) 0) into (cos (/ 0.5 K))
10.078 * [taylor]: Taking taylor expansion of (pow U 2) in U
10.078 * [taylor]: Taking taylor expansion of U in U
10.078 * [backup-simplify]: Simplify 0 into 0
10.078 * [backup-simplify]: Simplify 1 into 1
10.078 * [backup-simplify]: Simplify (* J J) into (pow J 2)
10.079 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) (cos (/ 0.5 K))) into (pow (cos (/ 0.5 K)) 2)
10.079 * [backup-simplify]: Simplify (* 1 1) into 1
10.079 * [backup-simplify]: Simplify (* (pow (cos (/ 0.5 K)) 2) 1) into (pow (cos (/ 0.5 K)) 2)
10.080 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)) into (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))
10.080 * [taylor]: Taking taylor expansion of 1.0 in U
10.080 * [backup-simplify]: Simplify 1.0 into 1.0
10.080 * [backup-simplify]: Simplify (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))) into (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))
10.080 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))) 0) into (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))
10.081 * [backup-simplify]: Simplify (sqrt (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) into (/ (* (sqrt 0.25) J) (cos (/ 0.5 K)))
10.081 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
10.082 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.082 * [backup-simplify]: Simplify (+ 0) into 0
10.083 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 1)) into 0
10.083 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)))) into 0
10.084 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.084 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (* 0 0)) into 0
10.084 * [backup-simplify]: Simplify (- 0) into 0
10.085 * [backup-simplify]: Simplify (+ 0 0) into 0
10.085 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 (cos (/ 0.5 K)))) into 0
10.086 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 0.5 K)) 2) 0) (* 0 1)) into 0
10.086 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 0.5 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)) (/ 0 (pow (cos (/ 0.5 K)) 2))))) into 0
10.087 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) into 0
10.087 * [backup-simplify]: Simplify (+ 0 0) into 0
10.088 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))))) into 0
10.088 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) in U
10.088 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0) in U
10.088 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) in U
10.088 * [taylor]: Taking taylor expansion of 0.25 in U
10.088 * [backup-simplify]: Simplify 0.25 into 0.25
10.088 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))) in U
10.088 * [taylor]: Taking taylor expansion of (pow J 2) in U
10.088 * [taylor]: Taking taylor expansion of J in U
10.088 * [backup-simplify]: Simplify J into J
10.088 * [taylor]: Taking taylor expansion of (* (pow (cos (/ 0.5 K)) 2) (pow U 2)) in U
10.088 * [taylor]: Taking taylor expansion of (pow (cos (/ 0.5 K)) 2) in U
10.088 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in U
10.088 * [taylor]: Taking taylor expansion of (/ 0.5 K) in U
10.088 * [taylor]: Taking taylor expansion of 0.5 in U
10.088 * [backup-simplify]: Simplify 0.5 into 0.5
10.088 * [taylor]: Taking taylor expansion of K in U
10.088 * [backup-simplify]: Simplify K into K
10.089 * [backup-simplify]: Simplify (/ 0.5 K) into (/ 0.5 K)
10.089 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
10.089 * [backup-simplify]: Simplify (sin (/ 0.5 K)) into (sin (/ 0.5 K))
10.089 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
10.089 * [backup-simplify]: Simplify (* (sin (/ 0.5 K)) 0) into 0
10.089 * [backup-simplify]: Simplify (- 0) into 0
10.090 * [backup-simplify]: Simplify (+ (cos (/ 0.5 K)) 0) into (cos (/ 0.5 K))
10.090 * [taylor]: Taking taylor expansion of (pow U 2) in U
10.090 * [taylor]: Taking taylor expansion of U in U
10.090 * [backup-simplify]: Simplify 0 into 0
10.090 * [backup-simplify]: Simplify 1 into 1
10.090 * [backup-simplify]: Simplify (* J J) into (pow J 2)
10.090 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) (cos (/ 0.5 K))) into (pow (cos (/ 0.5 K)) 2)
10.090 * [backup-simplify]: Simplify (* 1 1) into 1
10.091 * [backup-simplify]: Simplify (* (pow (cos (/ 0.5 K)) 2) 1) into (pow (cos (/ 0.5 K)) 2)
10.091 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)) into (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))
10.091 * [taylor]: Taking taylor expansion of 1.0 in U
10.091 * [backup-simplify]: Simplify 1.0 into 1.0
10.091 * [backup-simplify]: Simplify (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))) into (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))
10.092 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))) 0) into (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))
10.092 * [backup-simplify]: Simplify (sqrt (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) into (/ (* (sqrt 0.25) J) (cos (/ 0.5 K)))
10.092 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
10.093 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.093 * [backup-simplify]: Simplify (+ 0) into 0
10.094 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 1)) into 0
10.094 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)))) into 0
10.095 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.095 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (* 0 0)) into 0
10.096 * [backup-simplify]: Simplify (- 0) into 0
10.096 * [backup-simplify]: Simplify (+ 0 0) into 0
10.096 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 (cos (/ 0.5 K)))) into 0
10.097 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 0.5 K)) 2) 0) (* 0 1)) into 0
10.097 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 0.5 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)) (/ 0 (pow (cos (/ 0.5 K)) 2))))) into 0
10.098 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) into 0
10.099 * [backup-simplify]: Simplify (+ 0 0) into 0
10.099 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))))) into 0
10.099 * [taylor]: Taking taylor expansion of (/ (* (sqrt 0.25) J) (cos (/ 0.5 K))) in J
10.099 * [taylor]: Taking taylor expansion of (* (sqrt 0.25) J) in J
10.099 * [taylor]: Taking taylor expansion of (sqrt 0.25) in J
10.099 * [taylor]: Taking taylor expansion of 0.25 in J
10.099 * [backup-simplify]: Simplify 0.25 into 0.25
10.100 * [backup-simplify]: Simplify (sqrt 0.25) into (sqrt 0.25)
10.100 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.25))) into 0
10.100 * [taylor]: Taking taylor expansion of J in J
10.100 * [backup-simplify]: Simplify 0 into 0
10.100 * [backup-simplify]: Simplify 1 into 1
10.100 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in J
10.101 * [taylor]: Taking taylor expansion of (/ 0.5 K) in J
10.101 * [taylor]: Taking taylor expansion of 0.5 in J
10.101 * [backup-simplify]: Simplify 0.5 into 0.5
10.101 * [taylor]: Taking taylor expansion of K in J
10.101 * [backup-simplify]: Simplify K into K
10.101 * [backup-simplify]: Simplify (/ 0.5 K) into (/ 0.5 K)
10.101 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
10.101 * [backup-simplify]: Simplify (sin (/ 0.5 K)) into (sin (/ 0.5 K))
10.101 * [backup-simplify]: Simplify (* (sqrt 0.25) 0) into 0
10.103 * [backup-simplify]: Simplify (+ (* (sqrt 0.25) 1) (* 0 0)) into (sqrt 0.25)
10.104 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
10.104 * [backup-simplify]: Simplify (* (sin (/ 0.5 K)) 0) into 0
10.104 * [backup-simplify]: Simplify (- 0) into 0
10.104 * [backup-simplify]: Simplify (+ (cos (/ 0.5 K)) 0) into (cos (/ 0.5 K))
10.105 * [backup-simplify]: Simplify (/ (sqrt 0.25) (cos (/ 0.5 K))) into (/ (sqrt 0.25) (cos (/ 0.5 K)))
10.105 * [taylor]: Taking taylor expansion of 0 in J
10.105 * [backup-simplify]: Simplify 0 into 0
10.105 * [taylor]: Taking taylor expansion of 0 in K
10.105 * [backup-simplify]: Simplify 0 into 0
10.105 * [backup-simplify]: Simplify 0 into 0
10.105 * [taylor]: Taking taylor expansion of (/ (sqrt 0.25) (cos (/ 0.5 K))) in K
10.105 * [taylor]: Taking taylor expansion of (sqrt 0.25) in K
10.105 * [taylor]: Taking taylor expansion of 0.25 in K
10.105 * [backup-simplify]: Simplify 0.25 into 0.25
10.106 * [backup-simplify]: Simplify (sqrt 0.25) into (sqrt 0.25)
10.106 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.25))) into 0
10.106 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in K
10.106 * [taylor]: Taking taylor expansion of (/ 0.5 K) in K
10.106 * [taylor]: Taking taylor expansion of 0.5 in K
10.106 * [backup-simplify]: Simplify 0.5 into 0.5
10.106 * [taylor]: Taking taylor expansion of K in K
10.106 * [backup-simplify]: Simplify 0 into 0
10.106 * [backup-simplify]: Simplify 1 into 1
10.107 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5
10.107 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
10.107 * [backup-simplify]: Simplify (/ (sqrt 0.25) (cos (/ 0.5 K))) into (/ (sqrt 0.25) (cos (/ 0.5 K)))
10.108 * [backup-simplify]: Simplify (/ (sqrt 0.25) (cos (/ 0.5 K))) into (/ (sqrt 0.25) (cos (/ 0.5 K)))
10.109 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
10.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.110 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.111 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (+ (* 0 0) (* 0 1))) into 0
10.112 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
10.112 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.113 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (+ (* 0 0) (* 0 0))) into 0
10.113 * [backup-simplify]: Simplify (- 0) into 0
10.114 * [backup-simplify]: Simplify (+ 0 0) into 0
10.114 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (+ (* 0 0) (* 0 (cos (/ 0.5 K))))) into 0
10.115 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 0.5 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
10.116 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 0.5 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)) (/ 0 (pow (cos (/ 0.5 K)) 2))) (* 0 (/ 0 (pow (cos (/ 0.5 K)) 2))))) into 0
10.117 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))))) into 0
10.118 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
10.120 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (/ (* (sqrt 0.25) J) (cos (/ 0.5 K))))) into (* 0.5 (/ (cos (/ 0.5 K)) (* (sqrt 0.25) J)))
10.120 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 0.5 K)) (* (sqrt 0.25) J))) in J
10.120 * [taylor]: Taking taylor expansion of 0.5 in J
10.120 * [backup-simplify]: Simplify 0.5 into 0.5
10.120 * [taylor]: Taking taylor expansion of (/ (cos (/ 0.5 K)) (* (sqrt 0.25) J)) in J
10.120 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in J
10.120 * [taylor]: Taking taylor expansion of (/ 0.5 K) in J
10.120 * [taylor]: Taking taylor expansion of 0.5 in J
10.120 * [backup-simplify]: Simplify 0.5 into 0.5
10.120 * [taylor]: Taking taylor expansion of K in J
10.120 * [backup-simplify]: Simplify K into K
10.120 * [backup-simplify]: Simplify (/ 0.5 K) into (/ 0.5 K)
10.121 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
10.121 * [backup-simplify]: Simplify (sin (/ 0.5 K)) into (sin (/ 0.5 K))
10.121 * [taylor]: Taking taylor expansion of (* (sqrt 0.25) J) in J
10.121 * [taylor]: Taking taylor expansion of (sqrt 0.25) in J
10.121 * [taylor]: Taking taylor expansion of 0.25 in J
10.121 * [backup-simplify]: Simplify 0.25 into 0.25
10.121 * [backup-simplify]: Simplify (sqrt 0.25) into (sqrt 0.25)
10.122 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.25))) into 0
10.122 * [taylor]: Taking taylor expansion of J in J
10.122 * [backup-simplify]: Simplify 0 into 0
10.122 * [backup-simplify]: Simplify 1 into 1
10.122 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
10.122 * [backup-simplify]: Simplify (* (sin (/ 0.5 K)) 0) into 0
10.123 * [backup-simplify]: Simplify (- 0) into 0
10.123 * [backup-simplify]: Simplify (+ (cos (/ 0.5 K)) 0) into (cos (/ 0.5 K))
10.123 * [backup-simplify]: Simplify (* (sqrt 0.25) 0) into 0
10.126 * [backup-simplify]: Simplify (+ (* (sqrt 0.25) 1) (* 0 0)) into (sqrt 0.25)
10.126 * [backup-simplify]: Simplify (/ (cos (/ 0.5 K)) (sqrt 0.25)) into (/ (cos (/ 0.5 K)) (sqrt 0.25))
10.127 * [backup-simplify]: Simplify (+ 0) into 0
10.127 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 1)) into 0
10.127 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)))) into 0
10.128 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.129 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (* 0 0)) into 0
10.129 * [backup-simplify]: Simplify (- 0) into 0
10.129 * [backup-simplify]: Simplify (+ 0 0) into 0
10.131 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.25))) into 0
10.133 * [backup-simplify]: Simplify (+ (* (sqrt 0.25) 0) (+ (* 0 1) (* 0 0))) into 0
10.134 * [backup-simplify]: Simplify (- (/ 0 (sqrt 0.25)) (+ (* (/ (cos (/ 0.5 K)) (sqrt 0.25)) (/ 0 (sqrt 0.25))))) into 0
10.136 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ (cos (/ 0.5 K)) (sqrt 0.25)))) into 0
10.136 * [taylor]: Taking taylor expansion of 0 in K
10.136 * [backup-simplify]: Simplify 0 into 0
10.136 * [backup-simplify]: Simplify 0 into 0
10.136 * [taylor]: Taking taylor expansion of 0 in K
10.136 * [backup-simplify]: Simplify 0 into 0
10.136 * [backup-simplify]: Simplify 0 into 0
10.137 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.25))) into 0
10.138 * [backup-simplify]: Simplify (+ (* (sqrt 0.25) 0) (+ (* 0 1) (* 0 0))) into 0
10.139 * [backup-simplify]: Simplify (+ 0) into 0
10.139 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 1)) into 0
10.139 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)))) into 0
10.140 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.141 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (* 0 0)) into 0
10.141 * [backup-simplify]: Simplify (- 0) into 0
10.141 * [backup-simplify]: Simplify (+ 0 0) into 0
10.142 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 0.5 K))) (+ (* (/ (sqrt 0.25) (cos (/ 0.5 K))) (/ 0 (cos (/ 0.5 K)))))) into 0
10.142 * [taylor]: Taking taylor expansion of 0 in K
10.142 * [backup-simplify]: Simplify 0 into 0
10.142 * [backup-simplify]: Simplify 0 into 0
10.142 * [backup-simplify]: Simplify 0 into 0
10.143 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 0.5 K))) (+ (* (/ (sqrt 0.25) (cos (/ 0.5 K))) (/ 0 (cos (/ 0.5 K)))))) into 0
10.143 * [backup-simplify]: Simplify 0 into 0
10.144 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
10.144 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.145 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
10.146 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.146 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
10.147 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
10.147 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
10.147 * [backup-simplify]: Simplify (- 0) into 0
10.148 * [backup-simplify]: Simplify (+ 0 0) into 0
10.148 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 0.5 K)))))) into 0
10.149 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 0.5 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.149 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 0.5 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)) (/ 0 (pow (cos (/ 0.5 K)) 2))) (* 0 (/ 0 (pow (cos (/ 0.5 K)) 2))) (* 0 (/ 0 (pow (cos (/ 0.5 K)) 2))))) into 0
10.150 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))))) into 0
10.150 * [backup-simplify]: Simplify (+ 0 0) into 0
10.151 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 0.5 (/ (cos (/ 0.5 K)) (* (sqrt 0.25) J))))))) (* 2 (/ (* (sqrt 0.25) J) (cos (/ 0.5 K))))) into 0
10.151 * [taylor]: Taking taylor expansion of 0 in J
10.151 * [backup-simplify]: Simplify 0 into 0
10.151 * [taylor]: Taking taylor expansion of 0 in K
10.151 * [backup-simplify]: Simplify 0 into 0
10.151 * [backup-simplify]: Simplify 0 into 0
10.152 * [backup-simplify]: Simplify (* (/ (sqrt 0.25) (cos (/ 0.5 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (/ (* (sqrt 0.25) U) (* (cos (* 0.5 K)) J))
10.152 * [backup-simplify]: Simplify (sqrt (+ 1.0 (pow (/ (/ 1 (- U)) (* (* 2.0 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2.0)))) 2.0))) into (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0))
10.152 * [approximate]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)) in (U J K) around 0
10.152 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)) in K
10.152 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0) in K
10.152 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) in K
10.152 * [taylor]: Taking taylor expansion of 0.25 in K
10.152 * [backup-simplify]: Simplify 0.25 into 0.25
10.152 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) in K
10.152 * [taylor]: Taking taylor expansion of (pow J 2) in K
10.152 * [taylor]: Taking taylor expansion of J in K
10.152 * [backup-simplify]: Simplify J into J
10.152 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -0.5 K)) 2) (pow U 2)) in K
10.152 * [taylor]: Taking taylor expansion of (pow (cos (/ -0.5 K)) 2) in K
10.152 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in K
10.152 * [taylor]: Taking taylor expansion of (/ -0.5 K) in K
10.152 * [taylor]: Taking taylor expansion of -0.5 in K
10.152 * [backup-simplify]: Simplify -0.5 into -0.5
10.152 * [taylor]: Taking taylor expansion of K in K
10.152 * [backup-simplify]: Simplify 0 into 0
10.152 * [backup-simplify]: Simplify 1 into 1
10.153 * [backup-simplify]: Simplify (/ -0.5 1) into -0.5
10.153 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
10.153 * [taylor]: Taking taylor expansion of (pow U 2) in K
10.153 * [taylor]: Taking taylor expansion of U in K
10.153 * [backup-simplify]: Simplify U into U
10.153 * [backup-simplify]: Simplify (* J J) into (pow J 2)
10.153 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) (cos (/ -0.5 K))) into (pow (cos (/ -0.5 K)) 2)
10.153 * [backup-simplify]: Simplify (* U U) into (pow U 2)
10.153 * [backup-simplify]: Simplify (* (pow (cos (/ -0.5 K)) 2) (pow U 2)) into (* (pow (cos (/ -0.5 K)) 2) (pow U 2))
10.153 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))
10.153 * [taylor]: Taking taylor expansion of 1.0 in K
10.153 * [backup-simplify]: Simplify 1.0 into 1.0
10.154 * [backup-simplify]: Simplify (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) into (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))))
10.154 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0) into (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)
10.154 * [backup-simplify]: Simplify (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)) into (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0))
10.154 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
10.154 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
10.154 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 (cos (/ -0.5 K)))) into 0
10.155 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -0.5 K)) 2) 0) (* 0 (pow U 2))) into 0
10.155 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))))) into 0
10.156 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))))) into 0
10.156 * [backup-simplify]: Simplify (+ 0 0) into 0
10.156 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)))) into 0
10.156 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)) in J
10.156 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0) in J
10.156 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) in J
10.157 * [taylor]: Taking taylor expansion of 0.25 in J
10.157 * [backup-simplify]: Simplify 0.25 into 0.25
10.157 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) in J
10.157 * [taylor]: Taking taylor expansion of (pow J 2) in J
10.157 * [taylor]: Taking taylor expansion of J in J
10.157 * [backup-simplify]: Simplify 0 into 0
10.157 * [backup-simplify]: Simplify 1 into 1
10.157 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -0.5 K)) 2) (pow U 2)) in J
10.157 * [taylor]: Taking taylor expansion of (pow (cos (/ -0.5 K)) 2) in J
10.157 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in J
10.157 * [taylor]: Taking taylor expansion of (/ -0.5 K) in J
10.157 * [taylor]: Taking taylor expansion of -0.5 in J
10.157 * [backup-simplify]: Simplify -0.5 into -0.5
10.157 * [taylor]: Taking taylor expansion of K in J
10.157 * [backup-simplify]: Simplify K into K
10.157 * [backup-simplify]: Simplify (/ -0.5 K) into (/ -0.5 K)
10.157 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
10.157 * [backup-simplify]: Simplify (sin (/ -0.5 K)) into (sin (/ -0.5 K))
10.157 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
10.157 * [backup-simplify]: Simplify (* (sin (/ -0.5 K)) 0) into 0
10.157 * [backup-simplify]: Simplify (- 0) into 0
10.157 * [backup-simplify]: Simplify (+ (cos (/ -0.5 K)) 0) into (cos (/ -0.5 K))
10.157 * [taylor]: Taking taylor expansion of (pow U 2) in J
10.157 * [taylor]: Taking taylor expansion of U in J
10.157 * [backup-simplify]: Simplify U into U
10.158 * [backup-simplify]: Simplify (* 1 1) into 1
10.158 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) (cos (/ -0.5 K))) into (pow (cos (/ -0.5 K)) 2)
10.158 * [backup-simplify]: Simplify (* U U) into (pow U 2)
10.158 * [backup-simplify]: Simplify (* (pow (cos (/ -0.5 K)) 2) (pow U 2)) into (* (pow (cos (/ -0.5 K)) 2) (pow U 2))
10.158 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))
10.158 * [taylor]: Taking taylor expansion of 1.0 in J
10.158 * [backup-simplify]: Simplify 1.0 into 1.0
10.158 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
10.159 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
10.159 * [backup-simplify]: Simplify (+ 0 0) into 0
10.159 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
10.159 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)) in U
10.159 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0) in U
10.159 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) in U
10.159 * [taylor]: Taking taylor expansion of 0.25 in U
10.159 * [backup-simplify]: Simplify 0.25 into 0.25
10.159 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) in U
10.159 * [taylor]: Taking taylor expansion of (pow J 2) in U
10.159 * [taylor]: Taking taylor expansion of J in U
10.160 * [backup-simplify]: Simplify J into J
10.160 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -0.5 K)) 2) (pow U 2)) in U
10.160 * [taylor]: Taking taylor expansion of (pow (cos (/ -0.5 K)) 2) in U
10.160 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in U
10.160 * [taylor]: Taking taylor expansion of (/ -0.5 K) in U
10.160 * [taylor]: Taking taylor expansion of -0.5 in U
10.160 * [backup-simplify]: Simplify -0.5 into -0.5
10.160 * [taylor]: Taking taylor expansion of K in U
10.160 * [backup-simplify]: Simplify K into K
10.160 * [backup-simplify]: Simplify (/ -0.5 K) into (/ -0.5 K)
10.160 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
10.160 * [backup-simplify]: Simplify (sin (/ -0.5 K)) into (sin (/ -0.5 K))
10.160 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
10.160 * [backup-simplify]: Simplify (* (sin (/ -0.5 K)) 0) into 0
10.160 * [backup-simplify]: Simplify (- 0) into 0
10.160 * [backup-simplify]: Simplify (+ (cos (/ -0.5 K)) 0) into (cos (/ -0.5 K))
10.160 * [taylor]: Taking taylor expansion of (pow U 2) in U
10.160 * [taylor]: Taking taylor expansion of U in U
10.160 * [backup-simplify]: Simplify 0 into 0
10.160 * [backup-simplify]: Simplify 1 into 1
10.160 * [backup-simplify]: Simplify (* J J) into (pow J 2)
10.160 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) (cos (/ -0.5 K))) into (pow (cos (/ -0.5 K)) 2)
10.161 * [backup-simplify]: Simplify (* 1 1) into 1
10.161 * [backup-simplify]: Simplify (* (pow (cos (/ -0.5 K)) 2) 1) into (pow (cos (/ -0.5 K)) 2)
10.161 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)) into (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))
10.161 * [taylor]: Taking taylor expansion of 1.0 in U
10.161 * [backup-simplify]: Simplify 1.0 into 1.0
10.161 * [backup-simplify]: Simplify (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))) into (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))
10.161 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))) 0) into (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))
10.162 * [backup-simplify]: Simplify (sqrt (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) into (/ (* (sqrt 0.25) J) (cos (/ -0.5 K)))
10.162 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
10.162 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.162 * [backup-simplify]: Simplify (+ 0) into 0
10.163 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 1)) into 0
10.163 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)))) into 0
10.163 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.164 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (* 0 0)) into 0
10.164 * [backup-simplify]: Simplify (- 0) into 0
10.164 * [backup-simplify]: Simplify (+ 0 0) into 0
10.164 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 (cos (/ -0.5 K)))) into 0
10.165 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -0.5 K)) 2) 0) (* 0 1)) into 0
10.165 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -0.5 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)) (/ 0 (pow (cos (/ -0.5 K)) 2))))) into 0
10.167 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) into 0
10.167 * [backup-simplify]: Simplify (+ 0 0) into 0
10.167 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))))) into 0
10.167 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)) in U
10.167 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0) in U
10.167 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) in U
10.167 * [taylor]: Taking taylor expansion of 0.25 in U
10.167 * [backup-simplify]: Simplify 0.25 into 0.25
10.167 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) in U
10.167 * [taylor]: Taking taylor expansion of (pow J 2) in U
10.168 * [taylor]: Taking taylor expansion of J in U
10.168 * [backup-simplify]: Simplify J into J
10.168 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -0.5 K)) 2) (pow U 2)) in U
10.168 * [taylor]: Taking taylor expansion of (pow (cos (/ -0.5 K)) 2) in U
10.168 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in U
10.168 * [taylor]: Taking taylor expansion of (/ -0.5 K) in U
10.168 * [taylor]: Taking taylor expansion of -0.5 in U
10.168 * [backup-simplify]: Simplify -0.5 into -0.5
10.168 * [taylor]: Taking taylor expansion of K in U
10.168 * [backup-simplify]: Simplify K into K
10.168 * [backup-simplify]: Simplify (/ -0.5 K) into (/ -0.5 K)
10.168 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
10.168 * [backup-simplify]: Simplify (sin (/ -0.5 K)) into (sin (/ -0.5 K))
10.168 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
10.168 * [backup-simplify]: Simplify (* (sin (/ -0.5 K)) 0) into 0
10.168 * [backup-simplify]: Simplify (- 0) into 0
10.168 * [backup-simplify]: Simplify (+ (cos (/ -0.5 K)) 0) into (cos (/ -0.5 K))
10.168 * [taylor]: Taking taylor expansion of (pow U 2) in U
10.168 * [taylor]: Taking taylor expansion of U in U
10.168 * [backup-simplify]: Simplify 0 into 0
10.168 * [backup-simplify]: Simplify 1 into 1
10.168 * [backup-simplify]: Simplify (* J J) into (pow J 2)
10.168 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) (cos (/ -0.5 K))) into (pow (cos (/ -0.5 K)) 2)
10.169 * [backup-simplify]: Simplify (* 1 1) into 1
10.169 * [backup-simplify]: Simplify (* (pow (cos (/ -0.5 K)) 2) 1) into (pow (cos (/ -0.5 K)) 2)
10.169 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)) into (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))
10.169 * [taylor]: Taking taylor expansion of 1.0 in U
10.169 * [backup-simplify]: Simplify 1.0 into 1.0
10.169 * [backup-simplify]: Simplify (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))) into (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))
10.169 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))) 0) into (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))
10.170 * [backup-simplify]: Simplify (sqrt (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) into (/ (* (sqrt 0.25) J) (cos (/ -0.5 K)))
10.170 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
10.170 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.170 * [backup-simplify]: Simplify (+ 0) into 0
10.171 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 1)) into 0
10.171 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)))) into 0
10.171 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.172 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (* 0 0)) into 0
10.172 * [backup-simplify]: Simplify (- 0) into 0
10.172 * [backup-simplify]: Simplify (+ 0 0) into 0
10.172 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 (cos (/ -0.5 K)))) into 0
10.173 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -0.5 K)) 2) 0) (* 0 1)) into 0
10.173 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -0.5 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)) (/ 0 (pow (cos (/ -0.5 K)) 2))))) into 0
10.173 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) into 0
10.174 * [backup-simplify]: Simplify (+ 0 0) into 0
10.174 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))))) into 0
10.174 * [taylor]: Taking taylor expansion of (/ (* (sqrt 0.25) J) (cos (/ -0.5 K))) in J
10.174 * [taylor]: Taking taylor expansion of (* (sqrt 0.25) J) in J
10.174 * [taylor]: Taking taylor expansion of (sqrt 0.25) in J
10.174 * [taylor]: Taking taylor expansion of 0.25 in J
10.174 * [backup-simplify]: Simplify 0.25 into 0.25
10.174 * [backup-simplify]: Simplify (sqrt 0.25) into (sqrt 0.25)
10.175 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.25))) into 0
10.175 * [taylor]: Taking taylor expansion of J in J
10.175 * [backup-simplify]: Simplify 0 into 0
10.175 * [backup-simplify]: Simplify 1 into 1
10.175 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in J
10.175 * [taylor]: Taking taylor expansion of (/ -0.5 K) in J
10.175 * [taylor]: Taking taylor expansion of -0.5 in J
10.175 * [backup-simplify]: Simplify -0.5 into -0.5
10.175 * [taylor]: Taking taylor expansion of K in J
10.175 * [backup-simplify]: Simplify K into K
10.175 * [backup-simplify]: Simplify (/ -0.5 K) into (/ -0.5 K)
10.175 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
10.175 * [backup-simplify]: Simplify (sin (/ -0.5 K)) into (sin (/ -0.5 K))
10.175 * [backup-simplify]: Simplify (* (sqrt 0.25) 0) into 0
10.177 * [backup-simplify]: Simplify (+ (* (sqrt 0.25) 1) (* 0 0)) into (sqrt 0.25)
10.177 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
10.177 * [backup-simplify]: Simplify (* (sin (/ -0.5 K)) 0) into 0
10.177 * [backup-simplify]: Simplify (- 0) into 0
10.177 * [backup-simplify]: Simplify (+ (cos (/ -0.5 K)) 0) into (cos (/ -0.5 K))
10.178 * [backup-simplify]: Simplify (/ (sqrt 0.25) (cos (/ -0.5 K))) into (/ (sqrt 0.25) (cos (/ -0.5 K)))
10.178 * [taylor]: Taking taylor expansion of 0 in J
10.178 * [backup-simplify]: Simplify 0 into 0
10.178 * [taylor]: Taking taylor expansion of 0 in K
10.178 * [backup-simplify]: Simplify 0 into 0
10.178 * [backup-simplify]: Simplify 0 into 0
10.178 * [taylor]: Taking taylor expansion of (/ (sqrt 0.25) (cos (/ -0.5 K))) in K
10.178 * [taylor]: Taking taylor expansion of (sqrt 0.25) in K
10.178 * [taylor]: Taking taylor expansion of 0.25 in K
10.178 * [backup-simplify]: Simplify 0.25 into 0.25
10.178 * [backup-simplify]: Simplify (sqrt 0.25) into (sqrt 0.25)
10.179 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.25))) into 0
10.179 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in K
10.179 * [taylor]: Taking taylor expansion of (/ -0.5 K) in K
10.179 * [taylor]: Taking taylor expansion of -0.5 in K
10.179 * [backup-simplify]: Simplify -0.5 into -0.5
10.179 * [taylor]: Taking taylor expansion of K in K
10.179 * [backup-simplify]: Simplify 0 into 0
10.179 * [backup-simplify]: Simplify 1 into 1
10.179 * [backup-simplify]: Simplify (/ -0.5 1) into -0.5
10.179 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
10.180 * [backup-simplify]: Simplify (/ (sqrt 0.25) (cos (/ -0.5 K))) into (/ (sqrt 0.25) (cos (/ -0.5 K)))
10.180 * [backup-simplify]: Simplify (/ (sqrt 0.25) (cos (/ -0.5 K))) into (/ (sqrt 0.25) (cos (/ -0.5 K)))
10.180 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
10.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.181 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.182 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (+ (* 0 0) (* 0 1))) into 0
10.182 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
10.182 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.183 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (+ (* 0 0) (* 0 0))) into 0
10.183 * [backup-simplify]: Simplify (- 0) into 0
10.183 * [backup-simplify]: Simplify (+ 0 0) into 0
10.183 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (+ (* 0 0) (* 0 (cos (/ -0.5 K))))) into 0
10.184 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -0.5 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
10.185 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -0.5 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)) (/ 0 (pow (cos (/ -0.5 K)) 2))) (* 0 (/ 0 (pow (cos (/ -0.5 K)) 2))))) into 0
10.185 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))))) into 0
10.185 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
10.187 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (/ (* (sqrt 0.25) J) (cos (/ -0.5 K))))) into (* 0.5 (/ (cos (/ -0.5 K)) (* (sqrt 0.25) J)))
10.187 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -0.5 K)) (* (sqrt 0.25) J))) in J
10.187 * [taylor]: Taking taylor expansion of 0.5 in J
10.187 * [backup-simplify]: Simplify 0.5 into 0.5
10.187 * [taylor]: Taking taylor expansion of (/ (cos (/ -0.5 K)) (* (sqrt 0.25) J)) in J
10.187 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in J
10.187 * [taylor]: Taking taylor expansion of (/ -0.5 K) in J
10.187 * [taylor]: Taking taylor expansion of -0.5 in J
10.187 * [backup-simplify]: Simplify -0.5 into -0.5
10.187 * [taylor]: Taking taylor expansion of K in J
10.187 * [backup-simplify]: Simplify K into K
10.187 * [backup-simplify]: Simplify (/ -0.5 K) into (/ -0.5 K)
10.187 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
10.187 * [backup-simplify]: Simplify (sin (/ -0.5 K)) into (sin (/ -0.5 K))
10.187 * [taylor]: Taking taylor expansion of (* (sqrt 0.25) J) in J
10.187 * [taylor]: Taking taylor expansion of (sqrt 0.25) in J
10.187 * [taylor]: Taking taylor expansion of 0.25 in J
10.187 * [backup-simplify]: Simplify 0.25 into 0.25
10.187 * [backup-simplify]: Simplify (sqrt 0.25) into (sqrt 0.25)
10.188 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.25))) into 0
10.188 * [taylor]: Taking taylor expansion of J in J
10.188 * [backup-simplify]: Simplify 0 into 0
10.188 * [backup-simplify]: Simplify 1 into 1
10.188 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
10.188 * [backup-simplify]: Simplify (* (sin (/ -0.5 K)) 0) into 0
10.188 * [backup-simplify]: Simplify (- 0) into 0
10.188 * [backup-simplify]: Simplify (+ (cos (/ -0.5 K)) 0) into (cos (/ -0.5 K))
10.189 * [backup-simplify]: Simplify (* (sqrt 0.25) 0) into 0
10.190 * [backup-simplify]: Simplify (+ (* (sqrt 0.25) 1) (* 0 0)) into (sqrt 0.25)
10.190 * [backup-simplify]: Simplify (/ (cos (/ -0.5 K)) (sqrt 0.25)) into (/ (cos (/ -0.5 K)) (sqrt 0.25))
10.190 * [backup-simplify]: Simplify (+ 0) into 0
10.191 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 1)) into 0
10.191 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)))) into 0
10.191 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.192 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (* 0 0)) into 0
10.192 * [backup-simplify]: Simplify (- 0) into 0
10.192 * [backup-simplify]: Simplify (+ 0 0) into 0
10.193 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.25))) into 0
10.193 * [backup-simplify]: Simplify (+ (* (sqrt 0.25) 0) (+ (* 0 1) (* 0 0))) into 0
10.194 * [backup-simplify]: Simplify (- (/ 0 (sqrt 0.25)) (+ (* (/ (cos (/ -0.5 K)) (sqrt 0.25)) (/ 0 (sqrt 0.25))))) into 0
10.195 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ (cos (/ -0.5 K)) (sqrt 0.25)))) into 0
10.195 * [taylor]: Taking taylor expansion of 0 in K
10.195 * [backup-simplify]: Simplify 0 into 0
10.195 * [backup-simplify]: Simplify 0 into 0
10.195 * [taylor]: Taking taylor expansion of 0 in K
10.195 * [backup-simplify]: Simplify 0 into 0
10.195 * [backup-simplify]: Simplify 0 into 0
10.196 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.25))) into 0
10.197 * [backup-simplify]: Simplify (+ (* (sqrt 0.25) 0) (+ (* 0 1) (* 0 0))) into 0
10.197 * [backup-simplify]: Simplify (+ 0) into 0
10.198 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 1)) into 0
10.198 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)))) into 0
10.199 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.199 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (* 0 0)) into 0
10.199 * [backup-simplify]: Simplify (- 0) into 0
10.200 * [backup-simplify]: Simplify (+ 0 0) into 0
10.201 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -0.5 K))) (+ (* (/ (sqrt 0.25) (cos (/ -0.5 K))) (/ 0 (cos (/ -0.5 K)))))) into 0
10.201 * [taylor]: Taking taylor expansion of 0 in K
10.201 * [backup-simplify]: Simplify 0 into 0
10.201 * [backup-simplify]: Simplify 0 into 0
10.201 * [backup-simplify]: Simplify 0 into 0
10.201 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -0.5 K))) (+ (* (/ (sqrt 0.25) (cos (/ -0.5 K))) (/ 0 (cos (/ -0.5 K)))))) into 0
10.201 * [backup-simplify]: Simplify 0 into 0
10.202 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
10.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.204 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
10.205 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.205 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
10.207 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
10.208 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
10.208 * [backup-simplify]: Simplify (- 0) into 0
10.209 * [backup-simplify]: Simplify (+ 0 0) into 0
10.210 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -0.5 K)))))) into 0
10.211 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -0.5 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.212 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -0.5 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)) (/ 0 (pow (cos (/ -0.5 K)) 2))) (* 0 (/ 0 (pow (cos (/ -0.5 K)) 2))) (* 0 (/ 0 (pow (cos (/ -0.5 K)) 2))))) into 0
10.213 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))))) into 0
10.214 * [backup-simplify]: Simplify (+ 0 0) into 0
10.215 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 0.5 (/ (cos (/ -0.5 K)) (* (sqrt 0.25) J))))))) (* 2 (/ (* (sqrt 0.25) J) (cos (/ -0.5 K))))) into 0
10.215 * [taylor]: Taking taylor expansion of 0 in J
10.215 * [backup-simplify]: Simplify 0 into 0
10.215 * [taylor]: Taking taylor expansion of 0 in K
10.215 * [backup-simplify]: Simplify 0 into 0
10.215 * [backup-simplify]: Simplify 0 into 0
10.216 * [backup-simplify]: Simplify (* (/ (sqrt 0.25) (cos (/ -0.5 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (/ (* (sqrt 0.25) U) (* (cos (* 0.5 K)) J))
10.216 * * * * [progress]: [ 2 / 4 ] generating series at (2)
10.217 * [backup-simplify]: Simplify (* (* (* (* -2.0 (* J (cbrt (cos (/ K 2.0))))) (cbrt (cos (/ K 2.0)))) (cbrt (cos (/ K 2.0)))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))) into (* -2.0 (* (* J (cos (* 0.5 K))) (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0))))
10.217 * [approximate]: Taking taylor expansion of (* -2.0 (* (* J (cos (* 0.5 K))) (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0)))) in (J K U) around 0
10.217 * [taylor]: Taking taylor expansion of (* -2.0 (* (* J (cos (* 0.5 K))) (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0)))) in U
10.217 * [taylor]: Taking taylor expansion of -2.0 in U
10.217 * [backup-simplify]: Simplify -2.0 into -2.0
10.217 * [taylor]: Taking taylor expansion of (* (* J (cos (* 0.5 K))) (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0))) in U
10.217 * [taylor]: Taking taylor expansion of (* J (cos (* 0.5 K))) in U
10.217 * [taylor]: Taking taylor expansion of J in U
10.217 * [backup-simplify]: Simplify J into J
10.217 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in U
10.217 * [taylor]: Taking taylor expansion of (* 0.5 K) in U
10.217 * [taylor]: Taking taylor expansion of 0.5 in U
10.217 * [backup-simplify]: Simplify 0.5 into 0.5
10.217 * [taylor]: Taking taylor expansion of K in U
10.217 * [backup-simplify]: Simplify K into K
10.217 * [backup-simplify]: Simplify (* 0.5 K) into (* 0.5 K)
10.218 * [backup-simplify]: Simplify (cos (* 0.5 K)) into (cos (* 0.5 K))
10.218 * [backup-simplify]: Simplify (sin (* 0.5 K)) into (sin (* 0.5 K))
10.218 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0)) in U
10.218 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0) in U
10.218 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) in U
10.218 * [taylor]: Taking taylor expansion of 0.25 in U
10.218 * [backup-simplify]: Simplify 0.25 into 0.25
10.218 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2))) in U
10.218 * [taylor]: Taking taylor expansion of (pow U 2) in U
10.218 * [taylor]: Taking taylor expansion of U in U
10.218 * [backup-simplify]: Simplify 0 into 0
10.218 * [backup-simplify]: Simplify 1 into 1
10.218 * [taylor]: Taking taylor expansion of (* (pow J 2) (pow (cos (* 0.5 K)) 2)) in U
10.218 * [taylor]: Taking taylor expansion of (pow J 2) in U
10.218 * [taylor]: Taking taylor expansion of J in U
10.218 * [backup-simplify]: Simplify J into J
10.218 * [taylor]: Taking taylor expansion of (pow (cos (* 0.5 K)) 2) in U
10.218 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in U
10.218 * [taylor]: Taking taylor expansion of (* 0.5 K) in U
10.219 * [taylor]: Taking taylor expansion of 0.5 in U
10.219 * [backup-simplify]: Simplify 0.5 into 0.5
10.219 * [taylor]: Taking taylor expansion of K in U
10.219 * [backup-simplify]: Simplify K into K
10.219 * [backup-simplify]: Simplify (* 0.5 K) into (* 0.5 K)
10.219 * [backup-simplify]: Simplify (cos (* 0.5 K)) into (cos (* 0.5 K))
10.219 * [backup-simplify]: Simplify (sin (* 0.5 K)) into (sin (* 0.5 K))
10.219 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) 1) into (cos (* 0.5 K))
10.219 * [backup-simplify]: Simplify (* (sin (* 0.5 K)) 0) into 0
10.220 * [backup-simplify]: Simplify (- 0) into 0
10.220 * [backup-simplify]: Simplify (+ (cos (* 0.5 K)) 0) into (cos (* 0.5 K))
10.220 * [backup-simplify]: Simplify (* 1 1) into 1
10.220 * [backup-simplify]: Simplify (* J J) into (pow J 2)
10.220 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) (cos (* 0.5 K))) into (pow (cos (* 0.5 K)) 2)
10.221 * [backup-simplify]: Simplify (* (pow J 2) (pow (cos (* 0.5 K)) 2)) into (* (pow J 2) (pow (cos (* 0.5 K)) 2))
10.221 * [backup-simplify]: Simplify (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2))) into (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2)))
10.221 * [taylor]: Taking taylor expansion of 1.0 in U
10.221 * [backup-simplify]: Simplify 1.0 into 1.0
10.222 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
10.222 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
10.222 * [backup-simplify]: Simplify (+ 0 0) into 0
10.223 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
10.223 * [taylor]: Taking taylor expansion of (* -2.0 (* (* J (cos (* 0.5 K))) (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0)))) in K
10.223 * [taylor]: Taking taylor expansion of -2.0 in K
10.223 * [backup-simplify]: Simplify -2.0 into -2.0
10.223 * [taylor]: Taking taylor expansion of (* (* J (cos (* 0.5 K))) (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0))) in K
10.223 * [taylor]: Taking taylor expansion of (* J (cos (* 0.5 K))) in K
10.223 * [taylor]: Taking taylor expansion of J in K
10.223 * [backup-simplify]: Simplify J into J
10.223 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in K
10.223 * [taylor]: Taking taylor expansion of (* 0.5 K) in K
10.223 * [taylor]: Taking taylor expansion of 0.5 in K
10.223 * [backup-simplify]: Simplify 0.5 into 0.5
10.223 * [taylor]: Taking taylor expansion of K in K
10.224 * [backup-simplify]: Simplify 0 into 0
10.224 * [backup-simplify]: Simplify 1 into 1
10.224 * [backup-simplify]: Simplify (* 0.5 0) into 0
10.226 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5
10.226 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0)) in K
10.226 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0) in K
10.226 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) in K
10.226 * [taylor]: Taking taylor expansion of 0.25 in K
10.226 * [backup-simplify]: Simplify 0.25 into 0.25
10.226 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2))) in K
10.226 * [taylor]: Taking taylor expansion of (pow U 2) in K
10.226 * [taylor]: Taking taylor expansion of U in K
10.226 * [backup-simplify]: Simplify U into U
10.226 * [taylor]: Taking taylor expansion of (* (pow J 2) (pow (cos (* 0.5 K)) 2)) in K
10.226 * [taylor]: Taking taylor expansion of (pow J 2) in K
10.226 * [taylor]: Taking taylor expansion of J in K
10.226 * [backup-simplify]: Simplify J into J
10.226 * [taylor]: Taking taylor expansion of (pow (cos (* 0.5 K)) 2) in K
10.226 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in K
10.226 * [taylor]: Taking taylor expansion of (* 0.5 K) in K
10.226 * [taylor]: Taking taylor expansion of 0.5 in K
10.227 * [backup-simplify]: Simplify 0.5 into 0.5
10.227 * [taylor]: Taking taylor expansion of K in K
10.227 * [backup-simplify]: Simplify 0 into 0
10.227 * [backup-simplify]: Simplify 1 into 1
10.227 * [backup-simplify]: Simplify (* 0.5 0) into 0
10.228 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5
10.228 * [backup-simplify]: Simplify (* U U) into (pow U 2)
10.228 * [backup-simplify]: Simplify (* J J) into (pow J 2)
10.229 * [backup-simplify]: Simplify (* 1 1) into 1
10.229 * [backup-simplify]: Simplify (* (pow J 2) 1) into (pow J 2)
10.229 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
10.229 * [taylor]: Taking taylor expansion of 1.0 in K
10.229 * [backup-simplify]: Simplify 1.0 into 1.0
10.229 * [backup-simplify]: Simplify (* 0.25 (/ (pow U 2) (pow J 2))) into (* 0.25 (/ (pow U 2) (pow J 2)))
10.229 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow U 2) (pow J 2))) 1.0) into (+ (* 0.25 (/ (pow U 2) (pow J 2))) 1.0)
10.230 * [backup-simplify]: Simplify (sqrt (+ (* 0.25 (/ (pow U 2) (pow J 2))) 1.0)) into (sqrt (+ (* 0.25 (/ (pow U 2) (pow J 2))) 1.0))
10.230 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
10.230 * [backup-simplify]: Simplify (+ 0) into 0
10.230 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.230 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
10.231 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (* 0 1)) into 0
10.231 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
10.231 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
10.232 * [backup-simplify]: Simplify (+ 0 0) into 0
10.232 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 0.25 (/ (pow U 2) (pow J 2))) 1.0)))) into 0
10.232 * [taylor]: Taking taylor expansion of (* -2.0 (* (* J (cos (* 0.5 K))) (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0)))) in J
10.232 * [taylor]: Taking taylor expansion of -2.0 in J
10.232 * [backup-simplify]: Simplify -2.0 into -2.0
10.232 * [taylor]: Taking taylor expansion of (* (* J (cos (* 0.5 K))) (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0))) in J
10.232 * [taylor]: Taking taylor expansion of (* J (cos (* 0.5 K))) in J
10.232 * [taylor]: Taking taylor expansion of J in J
10.232 * [backup-simplify]: Simplify 0 into 0
10.232 * [backup-simplify]: Simplify 1 into 1
10.232 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in J
10.232 * [taylor]: Taking taylor expansion of (* 0.5 K) in J
10.232 * [taylor]: Taking taylor expansion of 0.5 in J
10.232 * [backup-simplify]: Simplify 0.5 into 0.5
10.232 * [taylor]: Taking taylor expansion of K in J
10.232 * [backup-simplify]: Simplify K into K
10.232 * [backup-simplify]: Simplify (* 0.5 K) into (* 0.5 K)
10.232 * [backup-simplify]: Simplify (cos (* 0.5 K)) into (cos (* 0.5 K))
10.232 * [backup-simplify]: Simplify (sin (* 0.5 K)) into (sin (* 0.5 K))
10.232 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0)) in J
10.232 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0) in J
10.232 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) in J
10.232 * [taylor]: Taking taylor expansion of 0.25 in J
10.232 * [backup-simplify]: Simplify 0.25 into 0.25
10.232 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2))) in J
10.232 * [taylor]: Taking taylor expansion of (pow U 2) in J
10.232 * [taylor]: Taking taylor expansion of U in J
10.232 * [backup-simplify]: Simplify U into U
10.232 * [taylor]: Taking taylor expansion of (* (pow J 2) (pow (cos (* 0.5 K)) 2)) in J
10.232 * [taylor]: Taking taylor expansion of (pow J 2) in J
10.232 * [taylor]: Taking taylor expansion of J in J
10.233 * [backup-simplify]: Simplify 0 into 0
10.233 * [backup-simplify]: Simplify 1 into 1
10.233 * [taylor]: Taking taylor expansion of (pow (cos (* 0.5 K)) 2) in J
10.233 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in J
10.233 * [taylor]: Taking taylor expansion of (* 0.5 K) in J
10.233 * [taylor]: Taking taylor expansion of 0.5 in J
10.233 * [backup-simplify]: Simplify 0.5 into 0.5
10.233 * [taylor]: Taking taylor expansion of K in J
10.233 * [backup-simplify]: Simplify K into K
10.233 * [backup-simplify]: Simplify (* 0.5 K) into (* 0.5 K)
10.233 * [backup-simplify]: Simplify (cos (* 0.5 K)) into (cos (* 0.5 K))
10.233 * [backup-simplify]: Simplify (sin (* 0.5 K)) into (sin (* 0.5 K))
10.233 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) 1) into (cos (* 0.5 K))
10.233 * [backup-simplify]: Simplify (* (sin (* 0.5 K)) 0) into 0
10.233 * [backup-simplify]: Simplify (- 0) into 0
10.233 * [backup-simplify]: Simplify (+ (cos (* 0.5 K)) 0) into (cos (* 0.5 K))
10.233 * [backup-simplify]: Simplify (* U U) into (pow U 2)
10.233 * [backup-simplify]: Simplify (* 1 1) into 1
10.234 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) (cos (* 0.5 K))) into (pow (cos (* 0.5 K)) 2)
10.234 * [backup-simplify]: Simplify (* 1 (pow (cos (* 0.5 K)) 2)) into (pow (cos (* 0.5 K)) 2)
10.234 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 0.5 K)) 2)) into (/ (pow U 2) (pow (cos (* 0.5 K)) 2))
10.234 * [taylor]: Taking taylor expansion of 1.0 in J
10.234 * [backup-simplify]: Simplify 1.0 into 1.0
10.234 * [backup-simplify]: Simplify (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2))) into (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2)))
10.234 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2))) 0) into (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2)))
10.235 * [backup-simplify]: Simplify (sqrt (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2)))) into (/ (* (sqrt 0.25) U) (cos (* 0.5 K)))
10.235 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
10.235 * [backup-simplify]: Simplify (+ 0) into 0
10.235 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (* 0 1)) into 0
10.235 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 K)) into 0
10.236 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.236 * [backup-simplify]: Simplify (+ (* (sin (* 0.5 K)) 0) (* 0 0)) into 0
10.237 * [backup-simplify]: Simplify (- 0) into 0
10.237 * [backup-simplify]: Simplify (+ 0 0) into 0
10.237 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (* 0 (cos (* 0.5 K)))) into 0
10.237 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.238 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (* 0.5 K)) 2))) into 0
10.238 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 0.5 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 0.5 K)) 2)) (/ 0 (pow (cos (* 0.5 K)) 2))))) into 0
10.238 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow U 2) (pow (cos (* 0.5 K)) 2)))) into 0
10.239 * [backup-simplify]: Simplify (+ 0 0) into 0
10.239 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2)))))) into 0
10.239 * [taylor]: Taking taylor expansion of (* -2.0 (* (* J (cos (* 0.5 K))) (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0)))) in J
10.239 * [taylor]: Taking taylor expansion of -2.0 in J
10.239 * [backup-simplify]: Simplify -2.0 into -2.0
10.239 * [taylor]: Taking taylor expansion of (* (* J (cos (* 0.5 K))) (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0))) in J
10.239 * [taylor]: Taking taylor expansion of (* J (cos (* 0.5 K))) in J
10.239 * [taylor]: Taking taylor expansion of J in J
10.239 * [backup-simplify]: Simplify 0 into 0
10.239 * [backup-simplify]: Simplify 1 into 1
10.239 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in J
10.239 * [taylor]: Taking taylor expansion of (* 0.5 K) in J
10.239 * [taylor]: Taking taylor expansion of 0.5 in J
10.239 * [backup-simplify]: Simplify 0.5 into 0.5
10.239 * [taylor]: Taking taylor expansion of K in J
10.239 * [backup-simplify]: Simplify K into K
10.239 * [backup-simplify]: Simplify (* 0.5 K) into (* 0.5 K)
10.239 * [backup-simplify]: Simplify (cos (* 0.5 K)) into (cos (* 0.5 K))
10.239 * [backup-simplify]: Simplify (sin (* 0.5 K)) into (sin (* 0.5 K))
10.239 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0)) in J
10.239 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0) in J
10.239 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) in J
10.239 * [taylor]: Taking taylor expansion of 0.25 in J
10.239 * [backup-simplify]: Simplify 0.25 into 0.25
10.239 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2))) in J
10.239 * [taylor]: Taking taylor expansion of (pow U 2) in J
10.239 * [taylor]: Taking taylor expansion of U in J
10.240 * [backup-simplify]: Simplify U into U
10.240 * [taylor]: Taking taylor expansion of (* (pow J 2) (pow (cos (* 0.5 K)) 2)) in J
10.240 * [taylor]: Taking taylor expansion of (pow J 2) in J
10.240 * [taylor]: Taking taylor expansion of J in J
10.240 * [backup-simplify]: Simplify 0 into 0
10.240 * [backup-simplify]: Simplify 1 into 1
10.240 * [taylor]: Taking taylor expansion of (pow (cos (* 0.5 K)) 2) in J
10.240 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in J
10.240 * [taylor]: Taking taylor expansion of (* 0.5 K) in J
10.240 * [taylor]: Taking taylor expansion of 0.5 in J
10.240 * [backup-simplify]: Simplify 0.5 into 0.5
10.240 * [taylor]: Taking taylor expansion of K in J
10.240 * [backup-simplify]: Simplify K into K
10.240 * [backup-simplify]: Simplify (* 0.5 K) into (* 0.5 K)
10.240 * [backup-simplify]: Simplify (cos (* 0.5 K)) into (cos (* 0.5 K))
10.240 * [backup-simplify]: Simplify (sin (* 0.5 K)) into (sin (* 0.5 K))
10.240 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) 1) into (cos (* 0.5 K))
10.240 * [backup-simplify]: Simplify (* (sin (* 0.5 K)) 0) into 0
10.240 * [backup-simplify]: Simplify (- 0) into 0
10.240 * [backup-simplify]: Simplify (+ (cos (* 0.5 K)) 0) into (cos (* 0.5 K))
10.240 * [backup-simplify]: Simplify (* U U) into (pow U 2)
10.241 * [backup-simplify]: Simplify (* 1 1) into 1
10.241 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) (cos (* 0.5 K))) into (pow (cos (* 0.5 K)) 2)
10.241 * [backup-simplify]: Simplify (* 1 (pow (cos (* 0.5 K)) 2)) into (pow (cos (* 0.5 K)) 2)
10.241 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 0.5 K)) 2)) into (/ (pow U 2) (pow (cos (* 0.5 K)) 2))
10.241 * [taylor]: Taking taylor expansion of 1.0 in J
10.241 * [backup-simplify]: Simplify 1.0 into 1.0
10.241 * [backup-simplify]: Simplify (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2))) into (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2)))
10.242 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2))) 0) into (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2)))
10.242 * [backup-simplify]: Simplify (sqrt (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2)))) into (/ (* (sqrt 0.25) U) (cos (* 0.5 K)))
10.242 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
10.242 * [backup-simplify]: Simplify (+ 0) into 0
10.243 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (* 0 1)) into 0
10.243 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 K)) into 0
10.243 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.244 * [backup-simplify]: Simplify (+ (* (sin (* 0.5 K)) 0) (* 0 0)) into 0
10.244 * [backup-simplify]: Simplify (- 0) into 0
10.244 * [backup-simplify]: Simplify (+ 0 0) into 0
10.244 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (* 0 (cos (* 0.5 K)))) into 0
10.245 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.245 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (* 0.5 K)) 2))) into 0
10.245 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 0.5 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 0.5 K)) 2)) (/ 0 (pow (cos (* 0.5 K)) 2))))) into 0
10.246 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow U 2) (pow (cos (* 0.5 K)) 2)))) into 0
10.246 * [backup-simplify]: Simplify (+ 0 0) into 0
10.246 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2)))))) into 0
10.246 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) 1) into (cos (* 0.5 K))
10.247 * [backup-simplify]: Simplify (* (sin (* 0.5 K)) 0) into 0
10.247 * [backup-simplify]: Simplify (- 0) into 0
10.247 * [backup-simplify]: Simplify (+ (cos (* 0.5 K)) 0) into (cos (* 0.5 K))
10.247 * [backup-simplify]: Simplify (* 0 (cos (* 0.5 K))) into 0
10.247 * [backup-simplify]: Simplify (* 0 (/ (* (sqrt 0.25) U) (cos (* 0.5 K)))) into 0
10.248 * [backup-simplify]: Simplify (* -2.0 0) into 0
10.248 * [taylor]: Taking taylor expansion of 0 in K
10.248 * [backup-simplify]: Simplify 0 into 0
10.248 * [taylor]: Taking taylor expansion of 0 in U
10.248 * [backup-simplify]: Simplify 0 into 0
10.248 * [backup-simplify]: Simplify 0 into 0
10.248 * [backup-simplify]: Simplify (+ 0) into 0
10.248 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (* 0 1)) into 0
10.249 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 K)) into 0
10.249 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.249 * [backup-simplify]: Simplify (+ (* (sin (* 0.5 K)) 0) (* 0 0)) into 0
10.250 * [backup-simplify]: Simplify (- 0) into 0
10.250 * [backup-simplify]: Simplify (+ 0 0) into 0
10.250 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (* 0.5 K)))) into (cos (* 0.5 K))
10.251 * [backup-simplify]: Simplify (+ (* 0 0) (* (cos (* 0.5 K)) (/ (* (sqrt 0.25) U) (cos (* 0.5 K))))) into (* (sqrt 0.25) U)
10.251 * [backup-simplify]: Simplify (+ (* -2.0 (* (sqrt 0.25) U)) (* 0 0)) into (- (* 2.0 (* (sqrt 0.25) U)))
10.251 * [taylor]: Taking taylor expansion of (- (* 2.0 (* (sqrt 0.25) U))) in K
10.251 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt 0.25) U)) in K
10.251 * [taylor]: Taking taylor expansion of 2.0 in K
10.251 * [backup-simplify]: Simplify 2.0 into 2.0
10.251 * [taylor]: Taking taylor expansion of (* (sqrt 0.25) U) in K
10.251 * [taylor]: Taking taylor expansion of (sqrt 0.25) in K
10.251 * [taylor]: Taking taylor expansion of 0.25 in K
10.251 * [backup-simplify]: Simplify 0.25 into 0.25
10.252 * [backup-simplify]: Simplify (sqrt 0.25) into (sqrt 0.25)
10.252 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.25))) into 0
10.252 * [taylor]: Taking taylor expansion of U in K
10.252 * [backup-simplify]: Simplify U into U
10.252 * [backup-simplify]: Simplify (* (sqrt 0.25) U) into (* (sqrt 0.25) U)
10.253 * [backup-simplify]: Simplify (* 2.0 (* (sqrt 0.25) U)) into (* 2.0 (* (sqrt 0.25) U))
10.253 * [backup-simplify]: Simplify (- (* 2.0 (* (sqrt 0.25) U))) into (- (* 2.0 (* (sqrt 0.25) U)))
10.253 * [taylor]: Taking taylor expansion of (- (* 2.0 (* (sqrt 0.25) U))) in U
10.253 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt 0.25) U)) in U
10.253 * [taylor]: Taking taylor expansion of 2.0 in U
10.253 * [backup-simplify]: Simplify 2.0 into 2.0
10.253 * [taylor]: Taking taylor expansion of (* (sqrt 0.25) U) in U
10.253 * [taylor]: Taking taylor expansion of (sqrt 0.25) in U
10.253 * [taylor]: Taking taylor expansion of 0.25 in U
10.253 * [backup-simplify]: Simplify 0.25 into 0.25
10.253 * [backup-simplify]: Simplify (sqrt 0.25) into (sqrt 0.25)
10.254 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.25))) into 0
10.254 * [taylor]: Taking taylor expansion of U in U
10.254 * [backup-simplify]: Simplify 0 into 0
10.254 * [backup-simplify]: Simplify 1 into 1
10.254 * [backup-simplify]: Simplify (* (sqrt 0.25) 0) into 0
10.254 * [backup-simplify]: Simplify (* 2.0 0) into 0
10.255 * [backup-simplify]: Simplify (- 0) into 0
10.255 * [backup-simplify]: Simplify 0 into 0
10.255 * [taylor]: Taking taylor expansion of 0 in U
10.255 * [backup-simplify]: Simplify 0 into 0
10.255 * [backup-simplify]: Simplify 0 into 0
10.255 * [backup-simplify]: Simplify 0 into 0
10.255 * [backup-simplify]: Simplify (+ (* U 0) (+ (* 0 0) (* 0 U))) into 0
10.256 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.256 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (+ (* 0 0) (* 0 1))) into 0
10.257 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 K))) into 0
10.258 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.258 * [backup-simplify]: Simplify (+ (* (sin (* 0.5 K)) 0) (+ (* 0 0) (* 0 0))) into 0
10.259 * [backup-simplify]: Simplify (- 0) into 0
10.259 * [backup-simplify]: Simplify (+ 0 0) into 0
10.260 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (+ (* 0 0) (* 0 (cos (* 0.5 K))))) into 0
10.261 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.262 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (* 0.5 K)) 2)))) into 0
10.263 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 0.5 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 0.5 K)) 2)) (/ 0 (pow (cos (* 0.5 K)) 2))) (* 0 (/ 0 (pow (cos (* 0.5 K)) 2))))) into 0
10.264 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (/ (pow U 2) (pow (cos (* 0.5 K)) 2))))) into 0
10.264 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
10.266 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (/ (* (sqrt 0.25) U) (cos (* 0.5 K))))) into (* 0.5 (/ (cos (* 0.5 K)) (* (sqrt 0.25) U)))
10.267 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.268 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (+ (* 0 0) (* 0 1))) into 0
10.268 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 K))) into 0
10.269 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.269 * [backup-simplify]: Simplify (+ (* (sin (* 0.5 K)) 0) (+ (* 0 0) (* 0 0))) into 0
10.269 * [backup-simplify]: Simplify (- 0) into 0
10.270 * [backup-simplify]: Simplify (+ 0 0) into 0
10.270 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (* 0.5 K))))) into 0
10.271 * [backup-simplify]: Simplify (+ (* 0 (* 0.5 (/ (cos (* 0.5 K)) (* (sqrt 0.25) U)))) (+ (* (cos (* 0.5 K)) 0) (* 0 (/ (* (sqrt 0.25) U) (cos (* 0.5 K)))))) into 0
10.272 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 (* (sqrt 0.25) U)) (* 0 0))) into 0
10.272 * [taylor]: Taking taylor expansion of 0 in K
10.272 * [backup-simplify]: Simplify 0 into 0
10.272 * [taylor]: Taking taylor expansion of 0 in U
10.272 * [backup-simplify]: Simplify 0 into 0
10.272 * [backup-simplify]: Simplify 0 into 0
10.272 * [backup-simplify]: Simplify (+ (* (sqrt 0.25) 0) (* 0 U)) into 0
10.273 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (* (sqrt 0.25) U))) into 0
10.273 * [backup-simplify]: Simplify (- 0) into 0
10.273 * [taylor]: Taking taylor expansion of 0 in U
10.273 * [backup-simplify]: Simplify 0 into 0
10.273 * [backup-simplify]: Simplify 0 into 0
10.273 * [backup-simplify]: Simplify 0 into 0
10.274 * [backup-simplify]: Simplify (* (* (* (* -2.0 (* (/ 1 J) (cbrt (cos (/ (/ 1 K) 2.0))))) (cbrt (cos (/ (/ 1 K) 2.0)))) (cbrt (cos (/ (/ 1 K) 2.0)))) (sqrt (+ 1.0 (pow (/ (/ 1 U) (* (* 2.0 (/ 1 J)) (cos (/ (/ 1 K) 2.0)))) 2.0)))) into (* -2.0 (* (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) (/ (cos (/ 0.5 K)) J)))
10.274 * [approximate]: Taking taylor expansion of (* -2.0 (* (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) (/ (cos (/ 0.5 K)) J))) in (J K U) around 0
10.274 * [taylor]: Taking taylor expansion of (* -2.0 (* (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) (/ (cos (/ 0.5 K)) J))) in U
10.274 * [taylor]: Taking taylor expansion of -2.0 in U
10.274 * [backup-simplify]: Simplify -2.0 into -2.0
10.274 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) (/ (cos (/ 0.5 K)) J)) in U
10.274 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) in U
10.274 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0) in U
10.274 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) in U
10.274 * [taylor]: Taking taylor expansion of 0.25 in U
10.274 * [backup-simplify]: Simplify 0.25 into 0.25
10.274 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))) in U
10.274 * [taylor]: Taking taylor expansion of (pow J 2) in U
10.274 * [taylor]: Taking taylor expansion of J in U
10.274 * [backup-simplify]: Simplify J into J
10.274 * [taylor]: Taking taylor expansion of (* (pow (cos (/ 0.5 K)) 2) (pow U 2)) in U
10.274 * [taylor]: Taking taylor expansion of (pow (cos (/ 0.5 K)) 2) in U
10.274 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in U
10.274 * [taylor]: Taking taylor expansion of (/ 0.5 K) in U
10.274 * [taylor]: Taking taylor expansion of 0.5 in U
10.274 * [backup-simplify]: Simplify 0.5 into 0.5
10.274 * [taylor]: Taking taylor expansion of K in U
10.274 * [backup-simplify]: Simplify K into K
10.274 * [backup-simplify]: Simplify (/ 0.5 K) into (/ 0.5 K)
10.274 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
10.274 * [backup-simplify]: Simplify (sin (/ 0.5 K)) into (sin (/ 0.5 K))
10.274 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
10.274 * [backup-simplify]: Simplify (* (sin (/ 0.5 K)) 0) into 0
10.274 * [backup-simplify]: Simplify (- 0) into 0
10.275 * [backup-simplify]: Simplify (+ (cos (/ 0.5 K)) 0) into (cos (/ 0.5 K))
10.275 * [taylor]: Taking taylor expansion of (pow U 2) in U
10.275 * [taylor]: Taking taylor expansion of U in U
10.275 * [backup-simplify]: Simplify 0 into 0
10.275 * [backup-simplify]: Simplify 1 into 1
10.275 * [backup-simplify]: Simplify (* J J) into (pow J 2)
10.275 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) (cos (/ 0.5 K))) into (pow (cos (/ 0.5 K)) 2)
10.275 * [backup-simplify]: Simplify (* 1 1) into 1
10.275 * [backup-simplify]: Simplify (* (pow (cos (/ 0.5 K)) 2) 1) into (pow (cos (/ 0.5 K)) 2)
10.275 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)) into (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))
10.275 * [taylor]: Taking taylor expansion of 1.0 in U
10.275 * [backup-simplify]: Simplify 1.0 into 1.0
10.276 * [backup-simplify]: Simplify (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))) into (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))
10.276 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))) 0) into (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))
10.276 * [backup-simplify]: Simplify (sqrt (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) into (/ (* (sqrt 0.25) J) (cos (/ 0.5 K)))
10.276 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
10.276 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.277 * [backup-simplify]: Simplify (+ 0) into 0
10.277 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 1)) into 0
10.277 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)))) into 0
10.278 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.278 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (* 0 0)) into 0
10.278 * [backup-simplify]: Simplify (- 0) into 0
10.278 * [backup-simplify]: Simplify (+ 0 0) into 0
10.278 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 (cos (/ 0.5 K)))) into 0
10.279 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 0.5 K)) 2) 0) (* 0 1)) into 0
10.279 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 0.5 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)) (/ 0 (pow (cos (/ 0.5 K)) 2))))) into 0
10.280 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) into 0
10.280 * [backup-simplify]: Simplify (+ 0 0) into 0
10.280 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))))) into 0
10.280 * [taylor]: Taking taylor expansion of (/ (cos (/ 0.5 K)) J) in U
10.280 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in U
10.280 * [taylor]: Taking taylor expansion of (/ 0.5 K) in U
10.281 * [taylor]: Taking taylor expansion of 0.5 in U
10.281 * [backup-simplify]: Simplify 0.5 into 0.5
10.281 * [taylor]: Taking taylor expansion of K in U
10.281 * [backup-simplify]: Simplify K into K
10.281 * [backup-simplify]: Simplify (/ 0.5 K) into (/ 0.5 K)
10.281 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
10.281 * [backup-simplify]: Simplify (sin (/ 0.5 K)) into (sin (/ 0.5 K))
10.281 * [taylor]: Taking taylor expansion of J in U
10.281 * [backup-simplify]: Simplify J into J
10.281 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
10.281 * [backup-simplify]: Simplify (* (sin (/ 0.5 K)) 0) into 0
10.283 * [backup-simplify]: Simplify (- 0) into 0
10.283 * [backup-simplify]: Simplify (+ (cos (/ 0.5 K)) 0) into (cos (/ 0.5 K))
10.283 * [backup-simplify]: Simplify (/ (cos (/ 0.5 K)) J) into (/ (cos (/ 0.5 K)) J)
10.283 * [taylor]: Taking taylor expansion of (* -2.0 (* (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) (/ (cos (/ 0.5 K)) J))) in K
10.283 * [taylor]: Taking taylor expansion of -2.0 in K
10.283 * [backup-simplify]: Simplify -2.0 into -2.0
10.283 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) (/ (cos (/ 0.5 K)) J)) in K
10.283 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) in K
10.283 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0) in K
10.283 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) in K
10.283 * [taylor]: Taking taylor expansion of 0.25 in K
10.283 * [backup-simplify]: Simplify 0.25 into 0.25
10.283 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))) in K
10.283 * [taylor]: Taking taylor expansion of (pow J 2) in K
10.283 * [taylor]: Taking taylor expansion of J in K
10.283 * [backup-simplify]: Simplify J into J
10.283 * [taylor]: Taking taylor expansion of (* (pow (cos (/ 0.5 K)) 2) (pow U 2)) in K
10.283 * [taylor]: Taking taylor expansion of (pow (cos (/ 0.5 K)) 2) in K
10.283 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in K
10.283 * [taylor]: Taking taylor expansion of (/ 0.5 K) in K
10.283 * [taylor]: Taking taylor expansion of 0.5 in K
10.283 * [backup-simplify]: Simplify 0.5 into 0.5
10.283 * [taylor]: Taking taylor expansion of K in K
10.283 * [backup-simplify]: Simplify 0 into 0
10.283 * [backup-simplify]: Simplify 1 into 1
10.284 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5
10.284 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
10.284 * [taylor]: Taking taylor expansion of (pow U 2) in K
10.284 * [taylor]: Taking taylor expansion of U in K
10.284 * [backup-simplify]: Simplify U into U
10.284 * [backup-simplify]: Simplify (* J J) into (pow J 2)
10.284 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) (cos (/ 0.5 K))) into (pow (cos (/ 0.5 K)) 2)
10.284 * [backup-simplify]: Simplify (* U U) into (pow U 2)
10.284 * [backup-simplify]: Simplify (* (pow (cos (/ 0.5 K)) 2) (pow U 2)) into (* (pow U 2) (pow (cos (/ 0.5 K)) 2))
10.284 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 0.5 K)) 2))) into (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))
10.284 * [taylor]: Taking taylor expansion of 1.0 in K
10.284 * [backup-simplify]: Simplify 1.0 into 1.0
10.285 * [backup-simplify]: Simplify (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) into (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))))
10.285 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0) into (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)
10.285 * [backup-simplify]: Simplify (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) into (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0))
10.285 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
10.285 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
10.286 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 (cos (/ 0.5 K)))) into 0
10.286 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 0.5 K)) 2) 0) (* 0 (pow U 2))) into 0
10.286 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 0.5 K)) 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))) (/ 0 (* (pow U 2) (pow (cos (/ 0.5 K)) 2)))))) into 0
10.287 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))))) into 0
10.287 * [backup-simplify]: Simplify (+ 0 0) into 0
10.288 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)))) into 0
10.288 * [taylor]: Taking taylor expansion of (/ (cos (/ 0.5 K)) J) in K
10.288 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in K
10.288 * [taylor]: Taking taylor expansion of (/ 0.5 K) in K
10.288 * [taylor]: Taking taylor expansion of 0.5 in K
10.288 * [backup-simplify]: Simplify 0.5 into 0.5
10.288 * [taylor]: Taking taylor expansion of K in K
10.288 * [backup-simplify]: Simplify 0 into 0
10.288 * [backup-simplify]: Simplify 1 into 1
10.288 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5
10.288 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
10.288 * [taylor]: Taking taylor expansion of J in K
10.288 * [backup-simplify]: Simplify J into J
10.288 * [backup-simplify]: Simplify (/ (cos (/ 0.5 K)) J) into (/ (cos (/ 0.5 K)) J)
10.288 * [taylor]: Taking taylor expansion of (* -2.0 (* (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) (/ (cos (/ 0.5 K)) J))) in J
10.288 * [taylor]: Taking taylor expansion of -2.0 in J
10.288 * [backup-simplify]: Simplify -2.0 into -2.0
10.288 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) (/ (cos (/ 0.5 K)) J)) in J
10.288 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) in J
10.288 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0) in J
10.288 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) in J
10.288 * [taylor]: Taking taylor expansion of 0.25 in J
10.288 * [backup-simplify]: Simplify 0.25 into 0.25
10.288 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))) in J
10.289 * [taylor]: Taking taylor expansion of (pow J 2) in J
10.289 * [taylor]: Taking taylor expansion of J in J
10.289 * [backup-simplify]: Simplify 0 into 0
10.289 * [backup-simplify]: Simplify 1 into 1
10.289 * [taylor]: Taking taylor expansion of (* (pow (cos (/ 0.5 K)) 2) (pow U 2)) in J
10.289 * [taylor]: Taking taylor expansion of (pow (cos (/ 0.5 K)) 2) in J
10.289 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in J
10.289 * [taylor]: Taking taylor expansion of (/ 0.5 K) in J
10.289 * [taylor]: Taking taylor expansion of 0.5 in J
10.289 * [backup-simplify]: Simplify 0.5 into 0.5
10.289 * [taylor]: Taking taylor expansion of K in J
10.289 * [backup-simplify]: Simplify K into K
10.289 * [backup-simplify]: Simplify (/ 0.5 K) into (/ 0.5 K)
10.289 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
10.289 * [backup-simplify]: Simplify (sin (/ 0.5 K)) into (sin (/ 0.5 K))
10.289 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
10.289 * [backup-simplify]: Simplify (* (sin (/ 0.5 K)) 0) into 0
10.289 * [backup-simplify]: Simplify (- 0) into 0
10.289 * [backup-simplify]: Simplify (+ (cos (/ 0.5 K)) 0) into (cos (/ 0.5 K))
10.289 * [taylor]: Taking taylor expansion of (pow U 2) in J
10.289 * [taylor]: Taking taylor expansion of U in J
10.289 * [backup-simplify]: Simplify U into U
10.290 * [backup-simplify]: Simplify (* 1 1) into 1
10.290 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) (cos (/ 0.5 K))) into (pow (cos (/ 0.5 K)) 2)
10.290 * [backup-simplify]: Simplify (* U U) into (pow U 2)
10.290 * [backup-simplify]: Simplify (* (pow (cos (/ 0.5 K)) 2) (pow U 2)) into (* (pow U 2) (pow (cos (/ 0.5 K)) 2))
10.290 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 0.5 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 0.5 K)) 2)))
10.290 * [taylor]: Taking taylor expansion of 1.0 in J
10.290 * [backup-simplify]: Simplify 1.0 into 1.0
10.290 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
10.291 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
10.291 * [backup-simplify]: Simplify (+ 0 0) into 0
10.291 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
10.291 * [taylor]: Taking taylor expansion of (/ (cos (/ 0.5 K)) J) in J
10.291 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in J
10.291 * [taylor]: Taking taylor expansion of (/ 0.5 K) in J
10.291 * [taylor]: Taking taylor expansion of 0.5 in J
10.291 * [backup-simplify]: Simplify 0.5 into 0.5
10.291 * [taylor]: Taking taylor expansion of K in J
10.292 * [backup-simplify]: Simplify K into K
10.292 * [backup-simplify]: Simplify (/ 0.5 K) into (/ 0.5 K)
10.292 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
10.292 * [backup-simplify]: Simplify (sin (/ 0.5 K)) into (sin (/ 0.5 K))
10.292 * [taylor]: Taking taylor expansion of J in J
10.292 * [backup-simplify]: Simplify 0 into 0
10.292 * [backup-simplify]: Simplify 1 into 1
10.292 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
10.292 * [backup-simplify]: Simplify (* (sin (/ 0.5 K)) 0) into 0
10.292 * [backup-simplify]: Simplify (- 0) into 0
10.292 * [backup-simplify]: Simplify (+ (cos (/ 0.5 K)) 0) into (cos (/ 0.5 K))
10.292 * [backup-simplify]: Simplify (/ (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
10.292 * [taylor]: Taking taylor expansion of (* -2.0 (* (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) (/ (cos (/ 0.5 K)) J))) in J
10.292 * [taylor]: Taking taylor expansion of -2.0 in J
10.292 * [backup-simplify]: Simplify -2.0 into -2.0
10.292 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) (/ (cos (/ 0.5 K)) J)) in J
10.292 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) in J
10.292 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0) in J
10.292 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) in J
10.292 * [taylor]: Taking taylor expansion of 0.25 in J
10.292 * [backup-simplify]: Simplify 0.25 into 0.25
10.292 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))) in J
10.292 * [taylor]: Taking taylor expansion of (pow J 2) in J
10.292 * [taylor]: Taking taylor expansion of J in J
10.292 * [backup-simplify]: Simplify 0 into 0
10.292 * [backup-simplify]: Simplify 1 into 1
10.292 * [taylor]: Taking taylor expansion of (* (pow (cos (/ 0.5 K)) 2) (pow U 2)) in J
10.292 * [taylor]: Taking taylor expansion of (pow (cos (/ 0.5 K)) 2) in J
10.293 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in J
10.293 * [taylor]: Taking taylor expansion of (/ 0.5 K) in J
10.293 * [taylor]: Taking taylor expansion of 0.5 in J
10.293 * [backup-simplify]: Simplify 0.5 into 0.5
10.293 * [taylor]: Taking taylor expansion of K in J
10.293 * [backup-simplify]: Simplify K into K
10.293 * [backup-simplify]: Simplify (/ 0.5 K) into (/ 0.5 K)
10.293 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
10.293 * [backup-simplify]: Simplify (sin (/ 0.5 K)) into (sin (/ 0.5 K))
10.293 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
10.293 * [backup-simplify]: Simplify (* (sin (/ 0.5 K)) 0) into 0
10.293 * [backup-simplify]: Simplify (- 0) into 0
10.293 * [backup-simplify]: Simplify (+ (cos (/ 0.5 K)) 0) into (cos (/ 0.5 K))
10.293 * [taylor]: Taking taylor expansion of (pow U 2) in J
10.293 * [taylor]: Taking taylor expansion of U in J
10.293 * [backup-simplify]: Simplify U into U
10.293 * [backup-simplify]: Simplify (* 1 1) into 1
10.294 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) (cos (/ 0.5 K))) into (pow (cos (/ 0.5 K)) 2)
10.294 * [backup-simplify]: Simplify (* U U) into (pow U 2)
10.294 * [backup-simplify]: Simplify (* (pow (cos (/ 0.5 K)) 2) (pow U 2)) into (* (pow U 2) (pow (cos (/ 0.5 K)) 2))
10.294 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 0.5 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 0.5 K)) 2)))
10.294 * [taylor]: Taking taylor expansion of 1.0 in J
10.294 * [backup-simplify]: Simplify 1.0 into 1.0
10.294 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
10.295 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
10.295 * [backup-simplify]: Simplify (+ 0 0) into 0
10.295 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
10.295 * [taylor]: Taking taylor expansion of (/ (cos (/ 0.5 K)) J) in J
10.295 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in J
10.295 * [taylor]: Taking taylor expansion of (/ 0.5 K) in J
10.295 * [taylor]: Taking taylor expansion of 0.5 in J
10.295 * [backup-simplify]: Simplify 0.5 into 0.5
10.295 * [taylor]: Taking taylor expansion of K in J
10.295 * [backup-simplify]: Simplify K into K
10.295 * [backup-simplify]: Simplify (/ 0.5 K) into (/ 0.5 K)
10.295 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
10.296 * [backup-simplify]: Simplify (sin (/ 0.5 K)) into (sin (/ 0.5 K))
10.296 * [taylor]: Taking taylor expansion of J in J
10.296 * [backup-simplify]: Simplify 0 into 0
10.296 * [backup-simplify]: Simplify 1 into 1
10.296 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
10.296 * [backup-simplify]: Simplify (* (sin (/ 0.5 K)) 0) into 0
10.296 * [backup-simplify]: Simplify (- 0) into 0
10.296 * [backup-simplify]: Simplify (+ (cos (/ 0.5 K)) 0) into (cos (/ 0.5 K))
10.296 * [backup-simplify]: Simplify (/ (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
10.296 * [backup-simplify]: Simplify (* (sqrt 1.0) (cos (/ 0.5 K))) into (* (sqrt 1.0) (cos (/ 0.5 K)))
10.297 * [backup-simplify]: Simplify (* -2.0 (* (sqrt 1.0) (cos (/ 0.5 K)))) into (* -2.0 (* (sqrt 1.0) (cos (/ 0.5 K))))
10.297 * [taylor]: Taking taylor expansion of (* -2.0 (* (sqrt 1.0) (cos (/ 0.5 K)))) in K
10.297 * [taylor]: Taking taylor expansion of -2.0 in K
10.297 * [backup-simplify]: Simplify -2.0 into -2.0
10.297 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (cos (/ 0.5 K))) in K
10.297 * [taylor]: Taking taylor expansion of (sqrt 1.0) in K
10.297 * [taylor]: Taking taylor expansion of 1.0 in K
10.297 * [backup-simplify]: Simplify 1.0 into 1.0
10.297 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
10.298 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
10.298 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in K
10.298 * [taylor]: Taking taylor expansion of (/ 0.5 K) in K
10.298 * [taylor]: Taking taylor expansion of 0.5 in K
10.298 * [backup-simplify]: Simplify 0.5 into 0.5
10.298 * [taylor]: Taking taylor expansion of K in K
10.298 * [backup-simplify]: Simplify 0 into 0
10.298 * [backup-simplify]: Simplify 1 into 1
10.298 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5
10.298 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
10.298 * [backup-simplify]: Simplify (* (sqrt 1.0) (cos (/ 0.5 K))) into (* (sqrt 1.0) (cos (/ 0.5 K)))
10.299 * [backup-simplify]: Simplify (* -2.0 (* (sqrt 1.0) (cos (/ 0.5 K)))) into (* -2.0 (* (sqrt 1.0) (cos (/ 0.5 K))))
10.299 * [taylor]: Taking taylor expansion of (* -2.0 (* (sqrt 1.0) (cos (/ 0.5 K)))) in U
10.299 * [taylor]: Taking taylor expansion of -2.0 in U
10.299 * [backup-simplify]: Simplify -2.0 into -2.0
10.299 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (cos (/ 0.5 K))) in U
10.299 * [taylor]: Taking taylor expansion of (sqrt 1.0) in U
10.299 * [taylor]: Taking taylor expansion of 1.0 in U
10.299 * [backup-simplify]: Simplify 1.0 into 1.0
10.299 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
10.299 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
10.299 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in U
10.299 * [taylor]: Taking taylor expansion of (/ 0.5 K) in U
10.300 * [taylor]: Taking taylor expansion of 0.5 in U
10.300 * [backup-simplify]: Simplify 0.5 into 0.5
10.300 * [taylor]: Taking taylor expansion of K in U
10.300 * [backup-simplify]: Simplify K into K
10.300 * [backup-simplify]: Simplify (/ 0.5 K) into (/ 0.5 K)
10.300 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
10.300 * [backup-simplify]: Simplify (sin (/ 0.5 K)) into (sin (/ 0.5 K))
10.300 * [backup-simplify]: Simplify (+ 0) into 0
10.301 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 1)) into 0
10.301 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)))) into 0
10.302 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.302 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (* 0 0)) into 0
10.302 * [backup-simplify]: Simplify (- 0) into 0
10.303 * [backup-simplify]: Simplify (+ 0 0) into 0
10.304 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 0.5 K)) (/ 0 1)))) into 0
10.304 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (cos (/ 0.5 K)))) into 0
10.305 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 (* (sqrt 1.0) (cos (/ 0.5 K))))) into 0
10.305 * [taylor]: Taking taylor expansion of 0 in K
10.305 * [backup-simplify]: Simplify 0 into 0
10.305 * [taylor]: Taking taylor expansion of 0 in U
10.305 * [backup-simplify]: Simplify 0 into 0
10.306 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (cos (/ 0.5 K)))) into 0
10.307 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 (* (sqrt 1.0) (cos (/ 0.5 K))))) into 0
10.307 * [taylor]: Taking taylor expansion of 0 in U
10.307 * [backup-simplify]: Simplify 0 into 0
10.307 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
10.307 * [backup-simplify]: Simplify (* (sin (/ 0.5 K)) 0) into 0
10.307 * [backup-simplify]: Simplify (- 0) into 0
10.308 * [backup-simplify]: Simplify (+ (cos (/ 0.5 K)) 0) into (cos (/ 0.5 K))
10.308 * [backup-simplify]: Simplify (* (sqrt 1.0) (cos (/ 0.5 K))) into (* (sqrt 1.0) (cos (/ 0.5 K)))
10.309 * [backup-simplify]: Simplify (* -2.0 (* (sqrt 1.0) (cos (/ 0.5 K)))) into (* -2.0 (* (sqrt 1.0) (cos (/ 0.5 K))))
10.309 * [backup-simplify]: Simplify (* -2.0 (* (sqrt 1.0) (cos (/ 0.5 K)))) into (* -2.0 (* (sqrt 1.0) (cos (/ 0.5 K))))
10.310 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.311 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (+ (* 0 0) (* 0 1))) into 0
10.311 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
10.312 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.312 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (+ (* 0 0) (* 0 0))) into 0
10.312 * [backup-simplify]: Simplify (- 0) into 0
10.313 * [backup-simplify]: Simplify (+ 0 0) into 0
10.313 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 0.5 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.314 * [backup-simplify]: Simplify (* 0.25 (/ 1 (* (pow U 2) (pow (cos (/ 0.5 K)) 2)))) into (/ 0.25 (* (pow U 2) (pow (cos (/ 0.5 K)) 2)))
10.314 * [backup-simplify]: Simplify (+ (/ 0.25 (* (pow U 2) (pow (cos (/ 0.5 K)) 2))) 0) into (* 0.25 (/ 1 (* (pow U 2) (pow (cos (/ 0.5 K)) 2))))
10.315 * [backup-simplify]: Simplify (/ (- (* 0.25 (/ 1 (* (pow U 2) (pow (cos (/ 0.5 K)) 2)))) (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ 0.125 (* (sqrt 1.0) (* (pow U 2) (pow (cos (/ 0.5 K)) 2))))
10.316 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* (/ 0.125 (* (sqrt 1.0) (* (pow U 2) (pow (cos (/ 0.5 K)) 2)))) (cos (/ 0.5 K))))) into (* 0.125 (/ 1 (* (sqrt 1.0) (* (pow U 2) (cos (/ 0.5 K))))))
10.317 * [backup-simplify]: Simplify (+ (* -2.0 (* 0.125 (/ 1 (* (sqrt 1.0) (* (pow U 2) (cos (/ 0.5 K))))))) (+ (* 0 0) (* 0 (* (sqrt 1.0) (cos (/ 0.5 K)))))) into (- (* 0.25 (/ 1 (* (sqrt 1.0) (* (pow U 2) (cos (/ 0.5 K)))))))
10.317 * [taylor]: Taking taylor expansion of (- (* 0.25 (/ 1 (* (sqrt 1.0) (* (pow U 2) (cos (/ 0.5 K))))))) in K
10.317 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (* (sqrt 1.0) (* (pow U 2) (cos (/ 0.5 K)))))) in K
10.317 * [taylor]: Taking taylor expansion of 0.25 in K
10.317 * [backup-simplify]: Simplify 0.25 into 0.25
10.317 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt 1.0) (* (pow U 2) (cos (/ 0.5 K))))) in K
10.317 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (* (pow U 2) (cos (/ 0.5 K)))) in K
10.317 * [taylor]: Taking taylor expansion of (sqrt 1.0) in K
10.317 * [taylor]: Taking taylor expansion of 1.0 in K
10.317 * [backup-simplify]: Simplify 1.0 into 1.0
10.318 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
10.318 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
10.318 * [taylor]: Taking taylor expansion of (* (pow U 2) (cos (/ 0.5 K))) in K
10.318 * [taylor]: Taking taylor expansion of (pow U 2) in K
10.318 * [taylor]: Taking taylor expansion of U in K
10.318 * [backup-simplify]: Simplify U into U
10.318 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in K
10.318 * [taylor]: Taking taylor expansion of (/ 0.5 K) in K
10.318 * [taylor]: Taking taylor expansion of 0.5 in K
10.318 * [backup-simplify]: Simplify 0.5 into 0.5
10.318 * [taylor]: Taking taylor expansion of K in K
10.318 * [backup-simplify]: Simplify 0 into 0
10.318 * [backup-simplify]: Simplify 1 into 1
10.319 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5
10.319 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
10.319 * [backup-simplify]: Simplify (* U U) into (pow U 2)
10.319 * [backup-simplify]: Simplify (* (pow U 2) (cos (/ 0.5 K))) into (* (pow U 2) (cos (/ 0.5 K)))
10.319 * [backup-simplify]: Simplify (* (sqrt 1.0) (* (pow U 2) (cos (/ 0.5 K)))) into (* (sqrt 1.0) (* (pow U 2) (cos (/ 0.5 K))))
10.320 * [backup-simplify]: Simplify (/ 1 (* (sqrt 1.0) (* (pow U 2) (cos (/ 0.5 K))))) into (/ 1 (* (sqrt 1.0) (* (pow U 2) (cos (/ 0.5 K)))))
10.320 * [backup-simplify]: Simplify (* 0.25 (/ 1 (* (sqrt 1.0) (* (pow U 2) (cos (/ 0.5 K)))))) into (/ 0.25 (* (sqrt 1.0) (* (pow U 2) (cos (/ 0.5 K)))))
10.320 * [backup-simplify]: Simplify (- (/ 0.25 (* (sqrt 1.0) (* (pow U 2) (cos (/ 0.5 K)))))) into (- (* 0.25 (/ 1 (* (sqrt 1.0) (* (pow U 2) (cos (/ 0.5 K)))))))
10.320 * [taylor]: Taking taylor expansion of (- (* 0.25 (/ 1 (* (sqrt 1.0) (* (pow U 2) (cos (/ 0.5 K))))))) in U
10.320 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (* (sqrt 1.0) (* (pow U 2) (cos (/ 0.5 K)))))) in U
10.320 * [taylor]: Taking taylor expansion of 0.25 in U
10.321 * [backup-simplify]: Simplify 0.25 into 0.25
10.321 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt 1.0) (* (pow U 2) (cos (/ 0.5 K))))) in U
10.321 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (* (pow U 2) (cos (/ 0.5 K)))) in U
10.321 * [taylor]: Taking taylor expansion of (sqrt 1.0) in U
10.321 * [taylor]: Taking taylor expansion of 1.0 in U
10.321 * [backup-simplify]: Simplify 1.0 into 1.0
10.321 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
10.321 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
10.321 * [taylor]: Taking taylor expansion of (* (pow U 2) (cos (/ 0.5 K))) in U
10.321 * [taylor]: Taking taylor expansion of (pow U 2) in U
10.321 * [taylor]: Taking taylor expansion of U in U
10.321 * [backup-simplify]: Simplify 0 into 0
10.321 * [backup-simplify]: Simplify 1 into 1
10.321 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in U
10.321 * [taylor]: Taking taylor expansion of (/ 0.5 K) in U
10.321 * [taylor]: Taking taylor expansion of 0.5 in U
10.321 * [backup-simplify]: Simplify 0.5 into 0.5
10.321 * [taylor]: Taking taylor expansion of K in U
10.321 * [backup-simplify]: Simplify K into K
10.322 * [backup-simplify]: Simplify (/ 0.5 K) into (/ 0.5 K)
10.322 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
10.322 * [backup-simplify]: Simplify (sin (/ 0.5 K)) into (sin (/ 0.5 K))
10.322 * [backup-simplify]: Simplify (* 1 1) into 1
10.322 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
10.322 * [backup-simplify]: Simplify (* (sin (/ 0.5 K)) 0) into 0
10.322 * [backup-simplify]: Simplify (- 0) into 0
10.322 * [backup-simplify]: Simplify (+ (cos (/ 0.5 K)) 0) into (cos (/ 0.5 K))
10.322 * [backup-simplify]: Simplify (* 1 (cos (/ 0.5 K))) into (cos (/ 0.5 K))
10.323 * [backup-simplify]: Simplify (* (sqrt 1.0) (cos (/ 0.5 K))) into (* (sqrt 1.0) (cos (/ 0.5 K)))
10.323 * [backup-simplify]: Simplify (/ 1 (* (sqrt 1.0) (cos (/ 0.5 K)))) into (/ 1 (* (sqrt 1.0) (cos (/ 0.5 K))))
10.323 * [backup-simplify]: Simplify (+ 0) into 0
10.324 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 1)) into 0
10.324 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)))) into 0
10.324 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.324 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (* 0 0)) into 0
10.325 * [backup-simplify]: Simplify (- 0) into 0
10.325 * [backup-simplify]: Simplify (+ 0 0) into 0
10.325 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.326 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos (/ 0.5 K)))) into 0
10.326 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (cos (/ 0.5 K)))) into 0
10.327 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (sqrt 1.0) (cos (/ 0.5 K)))) (/ 0 (* (sqrt 1.0) (cos (/ 0.5 K))))))) into 0
10.327 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ 1 (* (sqrt 1.0) (cos (/ 0.5 K)))))) into 0
10.328 * [backup-simplify]: Simplify (- 0) into 0
10.328 * [backup-simplify]: Simplify 0 into 0
10.328 * [taylor]: Taking taylor expansion of 0 in U
10.328 * [backup-simplify]: Simplify 0 into 0
10.328 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
10.329 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* 0 (cos (/ 0.5 K))))) into 0
10.330 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 (* (sqrt 1.0) (cos (/ 0.5 K)))))) into 0
10.330 * [taylor]: Taking taylor expansion of 0 in U
10.330 * [backup-simplify]: Simplify 0 into 0
10.330 * [backup-simplify]: Simplify 0 into 0
10.330 * [backup-simplify]: Simplify 0 into 0
10.330 * [backup-simplify]: Simplify (+ 0) into 0
10.330 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 1)) into 0
10.331 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)))) into 0
10.331 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.331 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (* 0 0)) into 0
10.332 * [backup-simplify]: Simplify (- 0) into 0
10.332 * [backup-simplify]: Simplify (+ 0 0) into 0
10.332 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (cos (/ 0.5 K)))) into 0
10.333 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 (* (sqrt 1.0) (cos (/ 0.5 K))))) into 0
10.333 * [backup-simplify]: Simplify 0 into 0
10.333 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
10.334 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.334 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
10.335 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
10.336 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
10.336 * [backup-simplify]: Simplify (- 0) into 0
10.336 * [backup-simplify]: Simplify (+ 0 0) into 0
10.338 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 0.5 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.338 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.338 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
10.339 * [backup-simplify]: Simplify (+ 0) into 0
10.339 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 1)) into 0
10.339 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)))) into 0
10.340 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.340 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (* 0 0)) into 0
10.340 * [backup-simplify]: Simplify (- 0) into 0
10.340 * [backup-simplify]: Simplify (+ 0 0) into 0
10.341 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 (cos (/ 0.5 K)))) into 0
10.341 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 0.5 K)) 2) 0) (* 0 (pow U 2))) into 0
10.341 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 0.5 K)) 2))) (+ (* (/ 1 (* (pow U 2) (pow (cos (/ 0.5 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 0.5 K)) 2)))))) into 0
10.342 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ 1 (* (pow U 2) (pow (cos (/ 0.5 K)) 2))))) into 0
10.342 * [backup-simplify]: Simplify (+ 0 0) into 0
10.343 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.125 (* (sqrt 1.0) (* (pow U 2) (pow (cos (/ 0.5 K)) 2)))))))) (* 2 (sqrt 1.0))) into 0
10.344 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* (/ 0.125 (* (sqrt 1.0) (* (pow U 2) (pow (cos (/ 0.5 K)) 2)))) 0) (* 0 (cos (/ 0.5 K)))))) into 0
10.345 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 (* 0.125 (/ 1 (* (sqrt 1.0) (* (pow U 2) (cos (/ 0.5 K))))))) (+ (* 0 0) (* 0 (* (sqrt 1.0) (cos (/ 0.5 K))))))) into 0
10.345 * [taylor]: Taking taylor expansion of 0 in K
10.345 * [backup-simplify]: Simplify 0 into 0
10.346 * [taylor]: Taking taylor expansion of 0 in U
10.346 * [backup-simplify]: Simplify 0 into 0
10.346 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
10.346 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (cos (/ 0.5 K)))) into 0
10.346 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (* (pow U 2) (cos (/ 0.5 K))))) into 0
10.347 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (sqrt 1.0) (* (pow U 2) (cos (/ 0.5 K))))) (/ 0 (* (sqrt 1.0) (* (pow U 2) (cos (/ 0.5 K)))))))) into 0
10.348 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ 1 (* (sqrt 1.0) (* (pow U 2) (cos (/ 0.5 K))))))) into 0
10.348 * [backup-simplify]: Simplify (- 0) into 0
10.348 * [taylor]: Taking taylor expansion of 0 in U
10.348 * [backup-simplify]: Simplify 0 into 0
10.348 * [taylor]: Taking taylor expansion of 0 in U
10.348 * [backup-simplify]: Simplify 0 into 0
10.349 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0
10.351 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 0.5 K)))))) into 0
10.352 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt 1.0) (cos (/ 0.5 K))))))) into 0
10.352 * [taylor]: Taking taylor expansion of 0 in U
10.352 * [backup-simplify]: Simplify 0 into 0
10.353 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.354 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (+ (* 0 0) (* 0 1))) into 0
10.354 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
10.355 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.356 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (+ (* 0 0) (* 0 0))) into 0
10.356 * [backup-simplify]: Simplify (- 0) into 0
10.356 * [backup-simplify]: Simplify (+ 0 0) into 0
10.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 0.5 K))))) into 0
10.359 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
10.360 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* 0 (cos (/ 0.5 K))))) into 0
10.362 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (sqrt 1.0) (cos (/ 0.5 K)))) (/ 0 (* (sqrt 1.0) (cos (/ 0.5 K))))) (* 0 (/ 0 (* (sqrt 1.0) (cos (/ 0.5 K))))))) into 0
10.363 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (/ 1 (* (sqrt 1.0) (cos (/ 0.5 K))))))) into 0
10.363 * [backup-simplify]: Simplify (- 0) into 0
10.364 * [backup-simplify]: Simplify 0 into 0
10.364 * [backup-simplify]: Simplify 0 into 0
10.364 * [backup-simplify]: Simplify (* (* -2.0 (* (sqrt 1.0) (cos (/ 0.5 (/ 1 K))))) (* 1 (* 1 (/ 1 (/ 1 J))))) into (* -2.0 (* (sqrt 1.0) (* (cos (* 0.5 K)) J)))
10.365 * [backup-simplify]: Simplify (* (* (* (* -2.0 (* (/ 1 (- J)) (cbrt (cos (/ (/ 1 (- K)) 2.0))))) (cbrt (cos (/ (/ 1 (- K)) 2.0)))) (cbrt (cos (/ (/ 1 (- K)) 2.0)))) (sqrt (+ 1.0 (pow (/ (/ 1 (- U)) (* (* 2.0 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2.0)))) 2.0)))) into (* 2.0 (* (/ (cos (/ -0.5 K)) J) (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0))))
10.366 * [approximate]: Taking taylor expansion of (* 2.0 (* (/ (cos (/ -0.5 K)) J) (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)))) in (J K U) around 0
10.366 * [taylor]: Taking taylor expansion of (* 2.0 (* (/ (cos (/ -0.5 K)) J) (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)))) in U
10.366 * [taylor]: Taking taylor expansion of 2.0 in U
10.366 * [backup-simplify]: Simplify 2.0 into 2.0
10.366 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -0.5 K)) J) (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0))) in U
10.366 * [taylor]: Taking taylor expansion of (/ (cos (/ -0.5 K)) J) in U
10.366 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in U
10.366 * [taylor]: Taking taylor expansion of (/ -0.5 K) in U
10.366 * [taylor]: Taking taylor expansion of -0.5 in U
10.366 * [backup-simplify]: Simplify -0.5 into -0.5
10.366 * [taylor]: Taking taylor expansion of K in U
10.366 * [backup-simplify]: Simplify K into K
10.366 * [backup-simplify]: Simplify (/ -0.5 K) into (/ -0.5 K)
10.366 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
10.366 * [backup-simplify]: Simplify (sin (/ -0.5 K)) into (sin (/ -0.5 K))
10.366 * [taylor]: Taking taylor expansion of J in U
10.366 * [backup-simplify]: Simplify J into J
10.366 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
10.366 * [backup-simplify]: Simplify (* (sin (/ -0.5 K)) 0) into 0
10.367 * [backup-simplify]: Simplify (- 0) into 0
10.367 * [backup-simplify]: Simplify (+ (cos (/ -0.5 K)) 0) into (cos (/ -0.5 K))
10.367 * [backup-simplify]: Simplify (/ (cos (/ -0.5 K)) J) into (/ (cos (/ -0.5 K)) J)
10.367 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)) in U
10.367 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0) in U
10.367 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) in U
10.367 * [taylor]: Taking taylor expansion of 0.25 in U
10.367 * [backup-simplify]: Simplify 0.25 into 0.25
10.367 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) in U
10.367 * [taylor]: Taking taylor expansion of (pow J 2) in U
10.367 * [taylor]: Taking taylor expansion of J in U
10.367 * [backup-simplify]: Simplify J into J
10.367 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -0.5 K)) 2) (pow U 2)) in U
10.367 * [taylor]: Taking taylor expansion of (pow (cos (/ -0.5 K)) 2) in U
10.368 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in U
10.368 * [taylor]: Taking taylor expansion of (/ -0.5 K) in U
10.368 * [taylor]: Taking taylor expansion of -0.5 in U
10.368 * [backup-simplify]: Simplify -0.5 into -0.5
10.368 * [taylor]: Taking taylor expansion of K in U
10.368 * [backup-simplify]: Simplify K into K
10.368 * [backup-simplify]: Simplify (/ -0.5 K) into (/ -0.5 K)
10.368 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
10.368 * [backup-simplify]: Simplify (sin (/ -0.5 K)) into (sin (/ -0.5 K))
10.368 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
10.368 * [backup-simplify]: Simplify (* (sin (/ -0.5 K)) 0) into 0
10.368 * [backup-simplify]: Simplify (- 0) into 0
10.369 * [backup-simplify]: Simplify (+ (cos (/ -0.5 K)) 0) into (cos (/ -0.5 K))
10.369 * [taylor]: Taking taylor expansion of (pow U 2) in U
10.369 * [taylor]: Taking taylor expansion of U in U
10.369 * [backup-simplify]: Simplify 0 into 0
10.369 * [backup-simplify]: Simplify 1 into 1
10.369 * [backup-simplify]: Simplify (* J J) into (pow J 2)
10.369 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) (cos (/ -0.5 K))) into (pow (cos (/ -0.5 K)) 2)
10.369 * [backup-simplify]: Simplify (* 1 1) into 1
10.370 * [backup-simplify]: Simplify (* (pow (cos (/ -0.5 K)) 2) 1) into (pow (cos (/ -0.5 K)) 2)
10.370 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)) into (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))
10.370 * [taylor]: Taking taylor expansion of 1.0 in U
10.370 * [backup-simplify]: Simplify 1.0 into 1.0
10.370 * [backup-simplify]: Simplify (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))) into (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))
10.371 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))) 0) into (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))
10.371 * [backup-simplify]: Simplify (sqrt (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) into (/ (* (sqrt 0.25) J) (cos (/ -0.5 K)))
10.371 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
10.372 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.372 * [backup-simplify]: Simplify (+ 0) into 0
10.373 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 1)) into 0
10.373 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)))) into 0
10.374 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.374 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (* 0 0)) into 0
10.375 * [backup-simplify]: Simplify (- 0) into 0
10.375 * [backup-simplify]: Simplify (+ 0 0) into 0
10.375 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 (cos (/ -0.5 K)))) into 0
10.376 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -0.5 K)) 2) 0) (* 0 1)) into 0
10.376 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -0.5 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)) (/ 0 (pow (cos (/ -0.5 K)) 2))))) into 0
10.377 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) into 0
10.378 * [backup-simplify]: Simplify (+ 0 0) into 0
10.378 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))))) into 0
10.378 * [taylor]: Taking taylor expansion of (* 2.0 (* (/ (cos (/ -0.5 K)) J) (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)))) in K
10.378 * [taylor]: Taking taylor expansion of 2.0 in K
10.378 * [backup-simplify]: Simplify 2.0 into 2.0
10.378 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -0.5 K)) J) (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0))) in K
10.378 * [taylor]: Taking taylor expansion of (/ (cos (/ -0.5 K)) J) in K
10.378 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in K
10.378 * [taylor]: Taking taylor expansion of (/ -0.5 K) in K
10.378 * [taylor]: Taking taylor expansion of -0.5 in K
10.378 * [backup-simplify]: Simplify -0.5 into -0.5
10.378 * [taylor]: Taking taylor expansion of K in K
10.378 * [backup-simplify]: Simplify 0 into 0
10.378 * [backup-simplify]: Simplify 1 into 1
10.379 * [backup-simplify]: Simplify (/ -0.5 1) into -0.5
10.379 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
10.379 * [taylor]: Taking taylor expansion of J in K
10.379 * [backup-simplify]: Simplify J into J
10.379 * [backup-simplify]: Simplify (/ (cos (/ -0.5 K)) J) into (/ (cos (/ -0.5 K)) J)
10.379 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)) in K
10.379 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0) in K
10.379 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) in K
10.379 * [taylor]: Taking taylor expansion of 0.25 in K
10.379 * [backup-simplify]: Simplify 0.25 into 0.25
10.379 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) in K
10.379 * [taylor]: Taking taylor expansion of (pow J 2) in K
10.379 * [taylor]: Taking taylor expansion of J in K
10.379 * [backup-simplify]: Simplify J into J
10.379 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -0.5 K)) 2) (pow U 2)) in K
10.380 * [taylor]: Taking taylor expansion of (pow (cos (/ -0.5 K)) 2) in K
10.380 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in K
10.380 * [taylor]: Taking taylor expansion of (/ -0.5 K) in K
10.380 * [taylor]: Taking taylor expansion of -0.5 in K
10.380 * [backup-simplify]: Simplify -0.5 into -0.5
10.380 * [taylor]: Taking taylor expansion of K in K
10.380 * [backup-simplify]: Simplify 0 into 0
10.380 * [backup-simplify]: Simplify 1 into 1
10.380 * [backup-simplify]: Simplify (/ -0.5 1) into -0.5
10.380 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
10.380 * [taylor]: Taking taylor expansion of (pow U 2) in K
10.380 * [taylor]: Taking taylor expansion of U in K
10.380 * [backup-simplify]: Simplify U into U
10.380 * [backup-simplify]: Simplify (* J J) into (pow J 2)
10.381 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) (cos (/ -0.5 K))) into (pow (cos (/ -0.5 K)) 2)
10.381 * [backup-simplify]: Simplify (* U U) into (pow U 2)
10.381 * [backup-simplify]: Simplify (* (pow (cos (/ -0.5 K)) 2) (pow U 2)) into (* (pow (cos (/ -0.5 K)) 2) (pow U 2))
10.381 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))
10.381 * [taylor]: Taking taylor expansion of 1.0 in K
10.381 * [backup-simplify]: Simplify 1.0 into 1.0
10.382 * [backup-simplify]: Simplify (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) into (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))))
10.382 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0) into (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)
10.383 * [backup-simplify]: Simplify (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)) into (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0))
10.383 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
10.383 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
10.383 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 (cos (/ -0.5 K)))) into 0
10.384 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -0.5 K)) 2) 0) (* 0 (pow U 2))) into 0
10.385 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))))) into 0
10.386 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))))) into 0
10.386 * [backup-simplify]: Simplify (+ 0 0) into 0
10.387 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)))) into 0
10.387 * [taylor]: Taking taylor expansion of (* 2.0 (* (/ (cos (/ -0.5 K)) J) (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)))) in J
10.387 * [taylor]: Taking taylor expansion of 2.0 in J
10.387 * [backup-simplify]: Simplify 2.0 into 2.0
10.387 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -0.5 K)) J) (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0))) in J
10.387 * [taylor]: Taking taylor expansion of (/ (cos (/ -0.5 K)) J) in J
10.387 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in J
10.387 * [taylor]: Taking taylor expansion of (/ -0.5 K) in J
10.387 * [taylor]: Taking taylor expansion of -0.5 in J
10.387 * [backup-simplify]: Simplify -0.5 into -0.5
10.388 * [taylor]: Taking taylor expansion of K in J
10.388 * [backup-simplify]: Simplify K into K
10.388 * [backup-simplify]: Simplify (/ -0.5 K) into (/ -0.5 K)
10.388 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
10.388 * [backup-simplify]: Simplify (sin (/ -0.5 K)) into (sin (/ -0.5 K))
10.388 * [taylor]: Taking taylor expansion of J in J
10.388 * [backup-simplify]: Simplify 0 into 0
10.388 * [backup-simplify]: Simplify 1 into 1
10.388 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
10.388 * [backup-simplify]: Simplify (* (sin (/ -0.5 K)) 0) into 0
10.389 * [backup-simplify]: Simplify (- 0) into 0
10.389 * [backup-simplify]: Simplify (+ (cos (/ -0.5 K)) 0) into (cos (/ -0.5 K))
10.389 * [backup-simplify]: Simplify (/ (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
10.389 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)) in J
10.389 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0) in J
10.389 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) in J
10.389 * [taylor]: Taking taylor expansion of 0.25 in J
10.389 * [backup-simplify]: Simplify 0.25 into 0.25
10.389 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) in J
10.389 * [taylor]: Taking taylor expansion of (pow J 2) in J
10.389 * [taylor]: Taking taylor expansion of J in J
10.389 * [backup-simplify]: Simplify 0 into 0
10.389 * [backup-simplify]: Simplify 1 into 1
10.389 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -0.5 K)) 2) (pow U 2)) in J
10.389 * [taylor]: Taking taylor expansion of (pow (cos (/ -0.5 K)) 2) in J
10.389 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in J
10.389 * [taylor]: Taking taylor expansion of (/ -0.5 K) in J
10.389 * [taylor]: Taking taylor expansion of -0.5 in J
10.389 * [backup-simplify]: Simplify -0.5 into -0.5
10.389 * [taylor]: Taking taylor expansion of K in J
10.389 * [backup-simplify]: Simplify K into K
10.389 * [backup-simplify]: Simplify (/ -0.5 K) into (/ -0.5 K)
10.389 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
10.390 * [backup-simplify]: Simplify (sin (/ -0.5 K)) into (sin (/ -0.5 K))
10.390 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
10.390 * [backup-simplify]: Simplify (* (sin (/ -0.5 K)) 0) into 0
10.390 * [backup-simplify]: Simplify (- 0) into 0
10.390 * [backup-simplify]: Simplify (+ (cos (/ -0.5 K)) 0) into (cos (/ -0.5 K))
10.390 * [taylor]: Taking taylor expansion of (pow U 2) in J
10.390 * [taylor]: Taking taylor expansion of U in J
10.390 * [backup-simplify]: Simplify U into U
10.391 * [backup-simplify]: Simplify (* 1 1) into 1
10.391 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) (cos (/ -0.5 K))) into (pow (cos (/ -0.5 K)) 2)
10.391 * [backup-simplify]: Simplify (* U U) into (pow U 2)
10.391 * [backup-simplify]: Simplify (* (pow (cos (/ -0.5 K)) 2) (pow U 2)) into (* (pow (cos (/ -0.5 K)) 2) (pow U 2))
10.392 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))
10.392 * [taylor]: Taking taylor expansion of 1.0 in J
10.392 * [backup-simplify]: Simplify 1.0 into 1.0
10.392 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
10.393 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
10.393 * [backup-simplify]: Simplify (+ 0 0) into 0
10.394 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
10.394 * [taylor]: Taking taylor expansion of (* 2.0 (* (/ (cos (/ -0.5 K)) J) (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)))) in J
10.394 * [taylor]: Taking taylor expansion of 2.0 in J
10.394 * [backup-simplify]: Simplify 2.0 into 2.0
10.394 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -0.5 K)) J) (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0))) in J
10.394 * [taylor]: Taking taylor expansion of (/ (cos (/ -0.5 K)) J) in J
10.394 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in J
10.394 * [taylor]: Taking taylor expansion of (/ -0.5 K) in J
10.394 * [taylor]: Taking taylor expansion of -0.5 in J
10.394 * [backup-simplify]: Simplify -0.5 into -0.5
10.394 * [taylor]: Taking taylor expansion of K in J
10.394 * [backup-simplify]: Simplify K into K
10.394 * [backup-simplify]: Simplify (/ -0.5 K) into (/ -0.5 K)
10.394 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
10.394 * [backup-simplify]: Simplify (sin (/ -0.5 K)) into (sin (/ -0.5 K))
10.394 * [taylor]: Taking taylor expansion of J in J
10.394 * [backup-simplify]: Simplify 0 into 0
10.394 * [backup-simplify]: Simplify 1 into 1
10.395 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
10.395 * [backup-simplify]: Simplify (* (sin (/ -0.5 K)) 0) into 0
10.395 * [backup-simplify]: Simplify (- 0) into 0
10.395 * [backup-simplify]: Simplify (+ (cos (/ -0.5 K)) 0) into (cos (/ -0.5 K))
10.395 * [backup-simplify]: Simplify (/ (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
10.395 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)) in J
10.395 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0) in J
10.395 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) in J
10.395 * [taylor]: Taking taylor expansion of 0.25 in J
10.395 * [backup-simplify]: Simplify 0.25 into 0.25
10.395 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) in J
10.396 * [taylor]: Taking taylor expansion of (pow J 2) in J
10.396 * [taylor]: Taking taylor expansion of J in J
10.396 * [backup-simplify]: Simplify 0 into 0
10.396 * [backup-simplify]: Simplify 1 into 1
10.396 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -0.5 K)) 2) (pow U 2)) in J
10.396 * [taylor]: Taking taylor expansion of (pow (cos (/ -0.5 K)) 2) in J
10.396 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in J
10.396 * [taylor]: Taking taylor expansion of (/ -0.5 K) in J
10.396 * [taylor]: Taking taylor expansion of -0.5 in J
10.396 * [backup-simplify]: Simplify -0.5 into -0.5
10.396 * [taylor]: Taking taylor expansion of K in J
10.396 * [backup-simplify]: Simplify K into K
10.396 * [backup-simplify]: Simplify (/ -0.5 K) into (/ -0.5 K)
10.396 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
10.396 * [backup-simplify]: Simplify (sin (/ -0.5 K)) into (sin (/ -0.5 K))
10.396 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
10.396 * [backup-simplify]: Simplify (* (sin (/ -0.5 K)) 0) into 0
10.397 * [backup-simplify]: Simplify (- 0) into 0
10.397 * [backup-simplify]: Simplify (+ (cos (/ -0.5 K)) 0) into (cos (/ -0.5 K))
10.397 * [taylor]: Taking taylor expansion of (pow U 2) in J
10.397 * [taylor]: Taking taylor expansion of U in J
10.397 * [backup-simplify]: Simplify U into U
10.397 * [backup-simplify]: Simplify (* 1 1) into 1
10.397 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) (cos (/ -0.5 K))) into (pow (cos (/ -0.5 K)) 2)
10.398 * [backup-simplify]: Simplify (* U U) into (pow U 2)
10.398 * [backup-simplify]: Simplify (* (pow (cos (/ -0.5 K)) 2) (pow U 2)) into (* (pow (cos (/ -0.5 K)) 2) (pow U 2))
10.398 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))
10.398 * [taylor]: Taking taylor expansion of 1.0 in J
10.398 * [backup-simplify]: Simplify 1.0 into 1.0
10.399 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
10.399 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
10.400 * [backup-simplify]: Simplify (+ 0 0) into 0
10.400 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
10.401 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) (sqrt 1.0)) into (* (cos (/ -0.5 K)) (sqrt 1.0))
10.401 * [backup-simplify]: Simplify (* 2.0 (* (cos (/ -0.5 K)) (sqrt 1.0))) into (* 2.0 (* (cos (/ -0.5 K)) (sqrt 1.0)))
10.401 * [taylor]: Taking taylor expansion of (* 2.0 (* (cos (/ -0.5 K)) (sqrt 1.0))) in K
10.401 * [taylor]: Taking taylor expansion of 2.0 in K
10.402 * [backup-simplify]: Simplify 2.0 into 2.0
10.402 * [taylor]: Taking taylor expansion of (* (cos (/ -0.5 K)) (sqrt 1.0)) in K
10.402 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in K
10.402 * [taylor]: Taking taylor expansion of (/ -0.5 K) in K
10.402 * [taylor]: Taking taylor expansion of -0.5 in K
10.402 * [backup-simplify]: Simplify -0.5 into -0.5
10.402 * [taylor]: Taking taylor expansion of K in K
10.402 * [backup-simplify]: Simplify 0 into 0
10.402 * [backup-simplify]: Simplify 1 into 1
10.402 * [backup-simplify]: Simplify (/ -0.5 1) into -0.5
10.402 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
10.402 * [taylor]: Taking taylor expansion of (sqrt 1.0) in K
10.402 * [taylor]: Taking taylor expansion of 1.0 in K
10.402 * [backup-simplify]: Simplify 1.0 into 1.0
10.403 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
10.404 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
10.404 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) (sqrt 1.0)) into (* (cos (/ -0.5 K)) (sqrt 1.0))
10.405 * [backup-simplify]: Simplify (* 2.0 (* (cos (/ -0.5 K)) (sqrt 1.0))) into (* 2.0 (* (cos (/ -0.5 K)) (sqrt 1.0)))
10.405 * [taylor]: Taking taylor expansion of (* 2.0 (* (cos (/ -0.5 K)) (sqrt 1.0))) in U
10.405 * [taylor]: Taking taylor expansion of 2.0 in U
10.405 * [backup-simplify]: Simplify 2.0 into 2.0
10.405 * [taylor]: Taking taylor expansion of (* (cos (/ -0.5 K)) (sqrt 1.0)) in U
10.405 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in U
10.405 * [taylor]: Taking taylor expansion of (/ -0.5 K) in U
10.405 * [taylor]: Taking taylor expansion of -0.5 in U
10.405 * [backup-simplify]: Simplify -0.5 into -0.5
10.405 * [taylor]: Taking taylor expansion of K in U
10.405 * [backup-simplify]: Simplify K into K
10.405 * [backup-simplify]: Simplify (/ -0.5 K) into (/ -0.5 K)
10.405 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
10.405 * [backup-simplify]: Simplify (sin (/ -0.5 K)) into (sin (/ -0.5 K))
10.405 * [taylor]: Taking taylor expansion of (sqrt 1.0) in U
10.405 * [taylor]: Taking taylor expansion of 1.0 in U
10.405 * [backup-simplify]: Simplify 1.0 into 1.0
10.406 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
10.407 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
10.407 * [backup-simplify]: Simplify (+ 0) into 0
10.408 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 1)) into 0
10.408 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)))) into 0
10.409 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.409 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (* 0 0)) into 0
10.409 * [backup-simplify]: Simplify (- 0) into 0
10.410 * [backup-simplify]: Simplify (+ 0 0) into 0
10.411 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -0.5 K)) (/ 0 1)))) into 0
10.414 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 (sqrt 1.0))) into 0
10.415 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (* (cos (/ -0.5 K)) (sqrt 1.0)))) into 0
10.415 * [taylor]: Taking taylor expansion of 0 in K
10.415 * [backup-simplify]: Simplify 0 into 0
10.415 * [taylor]: Taking taylor expansion of 0 in U
10.415 * [backup-simplify]: Simplify 0 into 0
10.416 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 (sqrt 1.0))) into 0
10.417 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (* (cos (/ -0.5 K)) (sqrt 1.0)))) into 0
10.417 * [taylor]: Taking taylor expansion of 0 in U
10.417 * [backup-simplify]: Simplify 0 into 0
10.417 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
10.417 * [backup-simplify]: Simplify (* (sin (/ -0.5 K)) 0) into 0
10.418 * [backup-simplify]: Simplify (- 0) into 0
10.418 * [backup-simplify]: Simplify (+ (cos (/ -0.5 K)) 0) into (cos (/ -0.5 K))
10.418 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) (sqrt 1.0)) into (* (cos (/ -0.5 K)) (sqrt 1.0))
10.419 * [backup-simplify]: Simplify (* 2.0 (* (cos (/ -0.5 K)) (sqrt 1.0))) into (* 2.0 (* (cos (/ -0.5 K)) (sqrt 1.0)))
10.419 * [backup-simplify]: Simplify (* 2.0 (* (cos (/ -0.5 K)) (sqrt 1.0))) into (* 2.0 (* (cos (/ -0.5 K)) (sqrt 1.0)))
10.420 * [backup-simplify]: Simplify (* 0.25 (/ 1 (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) into (/ 0.25 (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))
10.420 * [backup-simplify]: Simplify (+ (/ 0.25 (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) 0) into (* 0.25 (/ 1 (* (pow (cos (/ -0.5 K)) 2) (pow U 2))))
10.422 * [backup-simplify]: Simplify (/ (- (* 0.25 (/ 1 (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ 0.125 (* (pow (cos (/ -0.5 K)) 2) (* (sqrt 1.0) (pow U 2))))
10.423 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.424 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (+ (* 0 0) (* 0 1))) into 0
10.424 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
10.425 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.426 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (+ (* 0 0) (* 0 0))) into 0
10.426 * [backup-simplify]: Simplify (- 0) into 0
10.426 * [backup-simplify]: Simplify (+ 0 0) into 0
10.428 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -0.5 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.430 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) (/ 0.125 (* (pow (cos (/ -0.5 K)) 2) (* (sqrt 1.0) (pow U 2))))) (+ (* 0 0) (* 0 (sqrt 1.0)))) into (* 0.125 (/ 1 (* (cos (/ -0.5 K)) (* (sqrt 1.0) (pow U 2)))))
10.431 * [backup-simplify]: Simplify (+ (* 2.0 (* 0.125 (/ 1 (* (cos (/ -0.5 K)) (* (sqrt 1.0) (pow U 2)))))) (+ (* 0 0) (* 0 (* (cos (/ -0.5 K)) (sqrt 1.0))))) into (* 0.25 (/ 1 (* (cos (/ -0.5 K)) (* (sqrt 1.0) (pow U 2)))))
10.431 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (* (cos (/ -0.5 K)) (* (sqrt 1.0) (pow U 2))))) in K
10.431 * [taylor]: Taking taylor expansion of 0.25 in K
10.431 * [backup-simplify]: Simplify 0.25 into 0.25
10.431 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (/ -0.5 K)) (* (sqrt 1.0) (pow U 2)))) in K
10.431 * [taylor]: Taking taylor expansion of (* (cos (/ -0.5 K)) (* (sqrt 1.0) (pow U 2))) in K
10.431 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in K
10.431 * [taylor]: Taking taylor expansion of (/ -0.5 K) in K
10.431 * [taylor]: Taking taylor expansion of -0.5 in K
10.432 * [backup-simplify]: Simplify -0.5 into -0.5
10.432 * [taylor]: Taking taylor expansion of K in K
10.432 * [backup-simplify]: Simplify 0 into 0
10.432 * [backup-simplify]: Simplify 1 into 1
10.432 * [backup-simplify]: Simplify (/ -0.5 1) into -0.5
10.432 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
10.432 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (pow U 2)) in K
10.432 * [taylor]: Taking taylor expansion of (sqrt 1.0) in K
10.432 * [taylor]: Taking taylor expansion of 1.0 in K
10.432 * [backup-simplify]: Simplify 1.0 into 1.0
10.433 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
10.433 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
10.433 * [taylor]: Taking taylor expansion of (pow U 2) in K
10.433 * [taylor]: Taking taylor expansion of U in K
10.433 * [backup-simplify]: Simplify U into U
10.433 * [backup-simplify]: Simplify (* U U) into (pow U 2)
10.434 * [backup-simplify]: Simplify (* (sqrt 1.0) (pow U 2)) into (* (sqrt 1.0) (pow U 2))
10.435 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) (* (sqrt 1.0) (pow U 2))) into (* (cos (/ -0.5 K)) (* (sqrt 1.0) (pow U 2)))
10.435 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -0.5 K)) (* (sqrt 1.0) (pow U 2)))) into (/ 1 (* (cos (/ -0.5 K)) (* (sqrt 1.0) (pow U 2))))
10.436 * [backup-simplify]: Simplify (* 0.25 (/ 1 (* (cos (/ -0.5 K)) (* (sqrt 1.0) (pow U 2))))) into (/ 0.25 (* (cos (/ -0.5 K)) (* (sqrt 1.0) (pow U 2))))
10.436 * [taylor]: Taking taylor expansion of (/ 0.25 (* (cos (/ -0.5 K)) (* (sqrt 1.0) (pow U 2)))) in U
10.436 * [taylor]: Taking taylor expansion of 0.25 in U
10.436 * [backup-simplify]: Simplify 0.25 into 0.25
10.436 * [taylor]: Taking taylor expansion of (* (cos (/ -0.5 K)) (* (sqrt 1.0) (pow U 2))) in U
10.436 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in U
10.436 * [taylor]: Taking taylor expansion of (/ -0.5 K) in U
10.436 * [taylor]: Taking taylor expansion of -0.5 in U
10.436 * [backup-simplify]: Simplify -0.5 into -0.5
10.436 * [taylor]: Taking taylor expansion of K in U
10.436 * [backup-simplify]: Simplify K into K
10.436 * [backup-simplify]: Simplify (/ -0.5 K) into (/ -0.5 K)
10.436 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
10.437 * [backup-simplify]: Simplify (sin (/ -0.5 K)) into (sin (/ -0.5 K))
10.437 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (pow U 2)) in U
10.437 * [taylor]: Taking taylor expansion of (sqrt 1.0) in U
10.437 * [taylor]: Taking taylor expansion of 1.0 in U
10.437 * [backup-simplify]: Simplify 1.0 into 1.0
10.437 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
10.438 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
10.438 * [taylor]: Taking taylor expansion of (pow U 2) in U
10.438 * [taylor]: Taking taylor expansion of U in U
10.439 * [backup-simplify]: Simplify 0 into 0
10.439 * [backup-simplify]: Simplify 1 into 1
10.439 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
10.439 * [backup-simplify]: Simplify (* (sin (/ -0.5 K)) 0) into 0
10.439 * [backup-simplify]: Simplify (- 0) into 0
10.439 * [backup-simplify]: Simplify (+ (cos (/ -0.5 K)) 0) into (cos (/ -0.5 K))
10.440 * [backup-simplify]: Simplify (* 1 1) into 1
10.441 * [backup-simplify]: Simplify (* (sqrt 1.0) 1) into (sqrt 1.0)
10.441 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) (sqrt 1.0)) into (* (cos (/ -0.5 K)) (sqrt 1.0))
10.442 * [backup-simplify]: Simplify (/ 0.25 (* (cos (/ -0.5 K)) (sqrt 1.0))) into (/ 0.25 (* (cos (/ -0.5 K)) (sqrt 1.0)))
10.442 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.443 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 1)) into 0
10.444 * [backup-simplify]: Simplify (+ 0) into 0
10.444 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 1)) into 0
10.444 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)))) into 0
10.445 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.446 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (* 0 0)) into 0
10.446 * [backup-simplify]: Simplify (- 0) into 0
10.446 * [backup-simplify]: Simplify (+ 0 0) into 0
10.447 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 (sqrt 1.0))) into 0
10.449 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -0.5 K)) (sqrt 1.0))) (+ (* (/ 0.25 (* (cos (/ -0.5 K)) (sqrt 1.0))) (/ 0 (* (cos (/ -0.5 K)) (sqrt 1.0)))))) into 0
10.449 * [backup-simplify]: Simplify 0 into 0
10.449 * [taylor]: Taking taylor expansion of 0 in U
10.449 * [backup-simplify]: Simplify 0 into 0
10.450 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
10.451 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (+ (* 0 0) (* 0 (sqrt 1.0)))) into 0
10.452 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (* (cos (/ -0.5 K)) (sqrt 1.0))))) into 0
10.452 * [taylor]: Taking taylor expansion of 0 in U
10.452 * [backup-simplify]: Simplify 0 into 0
10.452 * [backup-simplify]: Simplify 0 into 0
10.452 * [backup-simplify]: Simplify 0 into 0
10.453 * [backup-simplify]: Simplify (+ 0) into 0
10.453 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 1)) into 0
10.453 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)))) into 0
10.454 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.455 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (* 0 0)) into 0
10.455 * [backup-simplify]: Simplify (- 0) into 0
10.455 * [backup-simplify]: Simplify (+ 0 0) into 0
10.456 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 (sqrt 1.0))) into 0
10.457 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (* (cos (/ -0.5 K)) (sqrt 1.0)))) into 0
10.457 * [backup-simplify]: Simplify 0 into 0
10.458 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.458 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
10.458 * [backup-simplify]: Simplify (+ 0) into 0
10.459 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 1)) into 0
10.459 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)))) into 0
10.460 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.460 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (* 0 0)) into 0
10.461 * [backup-simplify]: Simplify (- 0) into 0
10.461 * [backup-simplify]: Simplify (+ 0 0) into 0
10.461 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 (cos (/ -0.5 K)))) into 0
10.462 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -0.5 K)) 2) 0) (* 0 (pow U 2))) into 0
10.463 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) (+ (* (/ 1 (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))))) into 0
10.463 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ 1 (* (pow (cos (/ -0.5 K)) 2) (pow U 2))))) into 0
10.464 * [backup-simplify]: Simplify (+ 0 0) into 0
10.466 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.125 (* (pow (cos (/ -0.5 K)) 2) (* (sqrt 1.0) (pow U 2)))))))) (* 2 (sqrt 1.0))) into 0
10.466 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
10.467 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.468 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
10.469 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
10.470 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
10.470 * [backup-simplify]: Simplify (- 0) into 0
10.471 * [backup-simplify]: Simplify (+ 0 0) into 0
10.473 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -0.5 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.475 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (+ (* 0 (/ 0.125 (* (pow (cos (/ -0.5 K)) 2) (* (sqrt 1.0) (pow U 2))))) (+ (* 0 0) (* 0 (sqrt 1.0))))) into 0
10.477 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 (* 0.125 (/ 1 (* (cos (/ -0.5 K)) (* (sqrt 1.0) (pow U 2)))))) (+ (* 0 0) (* 0 (* (cos (/ -0.5 K)) (sqrt 1.0)))))) into 0
10.477 * [taylor]: Taking taylor expansion of 0 in K
10.477 * [backup-simplify]: Simplify 0 into 0
10.477 * [taylor]: Taking taylor expansion of 0 in U
10.477 * [backup-simplify]: Simplify 0 into 0
10.477 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
10.478 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (pow U 2))) into 0
10.479 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 (* (sqrt 1.0) (pow U 2)))) into 0
10.480 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (cos (/ -0.5 K)) (* (sqrt 1.0) (pow U 2)))) (/ 0 (* (cos (/ -0.5 K)) (* (sqrt 1.0) (pow U 2))))))) into 0
10.481 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ 1 (* (cos (/ -0.5 K)) (* (sqrt 1.0) (pow U 2)))))) into 0
10.481 * [taylor]: Taking taylor expansion of 0 in U
10.481 * [backup-simplify]: Simplify 0 into 0
10.481 * [taylor]: Taking taylor expansion of 0 in U
10.481 * [backup-simplify]: Simplify 0 into 0
10.481 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0
10.482 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1.0))))) into 0
10.483 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (cos (/ -0.5 K)) (sqrt 1.0)))))) into 0
10.483 * [taylor]: Taking taylor expansion of 0 in U
10.483 * [backup-simplify]: Simplify 0 into 0
10.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.484 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
10.485 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* 0 1))) into 0
10.485 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.486 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (+ (* 0 0) (* 0 1))) into 0
10.486 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
10.487 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.487 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (+ (* 0 0) (* 0 0))) into 0
10.487 * [backup-simplify]: Simplify (- 0) into 0
10.487 * [backup-simplify]: Simplify (+ 0 0) into 0
10.488 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (+ (* 0 0) (* 0 (sqrt 1.0)))) into 0
10.489 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -0.5 K)) (sqrt 1.0))) (+ (* (/ 0.25 (* (cos (/ -0.5 K)) (sqrt 1.0))) (/ 0 (* (cos (/ -0.5 K)) (sqrt 1.0)))) (* 0 (/ 0 (* (cos (/ -0.5 K)) (sqrt 1.0)))))) into 0
10.489 * [backup-simplify]: Simplify 0 into 0
10.489 * [backup-simplify]: Simplify 0 into 0
10.490 * [backup-simplify]: Simplify (* (* 2.0 (* (cos (/ -0.5 (/ 1 (- K)))) (sqrt 1.0))) (* 1 (* 1 (/ 1 (/ 1 (- J)))))) into (* -2.0 (* (sqrt 1.0) (* (cos (* 0.5 K)) J)))
10.490 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2)
10.490 * [backup-simplify]: Simplify (cbrt (cos (/ K 2.0))) into (pow (cos (* 0.5 K)) 1/3)
10.490 * [approximate]: Taking taylor expansion of (pow (cos (* 0.5 K)) 1/3) in (K) around 0
10.490 * [taylor]: Taking taylor expansion of (pow (cos (* 0.5 K)) 1/3) in K
10.490 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (* 0.5 K))))) in K
10.490 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (* 0.5 K)))) in K
10.490 * [taylor]: Taking taylor expansion of 1/3 in K
10.490 * [backup-simplify]: Simplify 1/3 into 1/3
10.490 * [taylor]: Taking taylor expansion of (log (cos (* 0.5 K))) in K
10.490 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in K
10.490 * [taylor]: Taking taylor expansion of (* 0.5 K) in K
10.490 * [taylor]: Taking taylor expansion of 0.5 in K
10.490 * [backup-simplify]: Simplify 0.5 into 0.5
10.490 * [taylor]: Taking taylor expansion of K in K
10.490 * [backup-simplify]: Simplify 0 into 0
10.490 * [backup-simplify]: Simplify 1 into 1
10.490 * [backup-simplify]: Simplify (* 0.5 0) into 0
10.491 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5
10.491 * [backup-simplify]: Simplify (log 1) into 0
10.492 * [backup-simplify]: Simplify (* 1/3 0) into 0
10.492 * [backup-simplify]: Simplify (+ 0) into 0
10.493 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
10.493 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0
10.495 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0.5 2) 2)) 0) into (- 0.125)
10.502 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 0.125)) 1)) (pow 1 1)))) 2) into -0.125
10.503 * [backup-simplify]: Simplify (+ (* 1/3 -0.125) (+ (* 0 0) (* 0 0))) into (- 0.041666666666666664)
10.503 * [backup-simplify]: Simplify (exp 0) into 1
10.504 * [taylor]: Taking taylor expansion of (pow (cos (* 0.5 K)) 1/3) in K
10.504 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (* 0.5 K))))) in K
10.504 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (* 0.5 K)))) in K
10.504 * [taylor]: Taking taylor expansion of 1/3 in K
10.504 * [backup-simplify]: Simplify 1/3 into 1/3
10.504 * [taylor]: Taking taylor expansion of (log (cos (* 0.5 K))) in K
10.504 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in K
10.504 * [taylor]: Taking taylor expansion of (* 0.5 K) in K
10.504 * [taylor]: Taking taylor expansion of 0.5 in K
10.504 * [backup-simplify]: Simplify 0.5 into 0.5
10.504 * [taylor]: Taking taylor expansion of K in K
10.504 * [backup-simplify]: Simplify 0 into 0
10.504 * [backup-simplify]: Simplify 1 into 1
10.504 * [backup-simplify]: Simplify (* 0.5 0) into 0
10.505 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5
10.505 * [backup-simplify]: Simplify (log 1) into 0
10.505 * [backup-simplify]: Simplify (* 1/3 0) into 0
10.506 * [backup-simplify]: Simplify (+ 0) into 0
10.506 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
10.507 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0
10.508 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0.5 2) 2)) 0) into (- 0.125)
10.518 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 0.125)) 1)) (pow 1 1)))) 2) into -0.125
10.520 * [backup-simplify]: Simplify (+ (* 1/3 -0.125) (+ (* 0 0) (* 0 0))) into (- 0.041666666666666664)
10.520 * [backup-simplify]: Simplify (exp 0) into 1
10.520 * [backup-simplify]: Simplify 1 into 1
10.521 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0
10.521 * [backup-simplify]: Simplify 0 into 0
10.528 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- 0.041666666666666664) 1) 1)))) into -0.041666666666666664
10.528 * [backup-simplify]: Simplify -0.041666666666666664 into -0.041666666666666664
10.529 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0
10.530 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0.5 1) 1) (/ (pow 0 1) 1)) 0) into 0
10.536 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- 0.125)) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
10.537 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 -0.125) (+ (* 0 0) (* 0 0)))) into 0
10.542 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- 0.041666666666666664) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
10.542 * [backup-simplify]: Simplify 0 into 0
10.544 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
10.551 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0.5 4) 24)) 0 (* -1 (/ (pow 0.5 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0.0026041666666666665
10.589 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- 0.125)) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 (- 0.125)) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0.0026041666666666665) 1)) (pow 1 1)))) 24) into -0.005208333333333333
10.591 * [backup-simplify]: Simplify (+ (* 1/3 -0.005208333333333333) (+ (* 0 0) (+ (* 0 -0.125) (+ (* 0 0) (* 0 0))))) into (- 0.001736111111111111)
10.605 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (- 0.041666666666666664) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (- 0.041666666666666664) 2) 2)) (* (/ (pow (- 0.001736111111111111) 1) 1)))) into -0.0008680555555555555
10.605 * [backup-simplify]: Simplify -0.0008680555555555555 into -0.0008680555555555555
10.605 * [backup-simplify]: Simplify (+ (* -0.0008680555555555555 (pow K 4)) (+ (* -0.041666666666666664 (pow K 2)) 1)) into (- 1 (+ (* 0.0008680555555555555 (pow K 4)) (* 0.041666666666666664 (pow K 2))))
10.606 * [backup-simplify]: Simplify (cbrt (cos (/ (/ 1 K) 2.0))) into (pow (cos (/ 0.5 K)) 1/3)
10.606 * [approximate]: Taking taylor expansion of (pow (cos (/ 0.5 K)) 1/3) in (K) around 0
10.606 * [taylor]: Taking taylor expansion of (pow (cos (/ 0.5 K)) 1/3) in K
10.606 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 0.5 K))))) in K
10.606 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 0.5 K)))) in K
10.606 * [taylor]: Taking taylor expansion of 1/3 in K
10.606 * [backup-simplify]: Simplify 1/3 into 1/3
10.606 * [taylor]: Taking taylor expansion of (log (cos (/ 0.5 K))) in K
10.606 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in K
10.606 * [taylor]: Taking taylor expansion of (/ 0.5 K) in K
10.606 * [taylor]: Taking taylor expansion of 0.5 in K
10.606 * [backup-simplify]: Simplify 0.5 into 0.5
10.606 * [taylor]: Taking taylor expansion of K in K
10.606 * [backup-simplify]: Simplify 0 into 0
10.606 * [backup-simplify]: Simplify 1 into 1
10.606 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5
10.606 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
10.606 * [backup-simplify]: Simplify (log (cos (/ 0.5 K))) into (log (cos (/ 0.5 K)))
10.606 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ 0.5 K)))) into (* 1/3 (log (cos (/ 0.5 K))))
10.606 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ 0.5 K))))) into (pow (cos (/ 0.5 K)) 1/3)
10.606 * [taylor]: Taking taylor expansion of (pow (cos (/ 0.5 K)) 1/3) in K
10.606 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 0.5 K))))) in K
10.606 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 0.5 K)))) in K
10.606 * [taylor]: Taking taylor expansion of 1/3 in K
10.606 * [backup-simplify]: Simplify 1/3 into 1/3
10.606 * [taylor]: Taking taylor expansion of (log (cos (/ 0.5 K))) in K
10.607 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in K
10.607 * [taylor]: Taking taylor expansion of (/ 0.5 K) in K
10.607 * [taylor]: Taking taylor expansion of 0.5 in K
10.607 * [backup-simplify]: Simplify 0.5 into 0.5
10.607 * [taylor]: Taking taylor expansion of K in K
10.607 * [backup-simplify]: Simplify 0 into 0
10.607 * [backup-simplify]: Simplify 1 into 1
10.607 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5
10.607 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
10.607 * [backup-simplify]: Simplify (log (cos (/ 0.5 K))) into (log (cos (/ 0.5 K)))
10.607 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ 0.5 K)))) into (* 1/3 (log (cos (/ 0.5 K))))
10.607 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ 0.5 K))))) into (pow (cos (/ 0.5 K)) 1/3)
10.607 * [backup-simplify]: Simplify (pow (cos (/ 0.5 K)) 1/3) into (pow (cos (/ 0.5 K)) 1/3)
10.608 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 0.5 K)) 1)))) 1) into 0
10.608 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ 0.5 K))))) into 0
10.609 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 0.5 K))))) (+ (* (/ (pow 0 1) 1)))) into 0
10.609 * [backup-simplify]: Simplify 0 into 0
10.610 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ 0.5 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ 0.5 K)) 1)))) 2) into 0
10.610 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ 0.5 K)))))) into 0
10.611 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 0.5 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.611 * [backup-simplify]: Simplify 0 into 0
10.613 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ 0.5 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ 0.5 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ 0.5 K)) 1)))) 6) into 0
10.614 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 0.5 K))))))) into 0
10.615 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 0.5 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
10.615 * [backup-simplify]: Simplify 0 into 0
10.618 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ 0.5 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ 0.5 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ 0.5 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ 0.5 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ 0.5 K)) 1)))) 24) into 0
10.619 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 0.5 K)))))))) into 0
10.621 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 0.5 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.621 * [backup-simplify]: Simplify 0 into 0
10.625 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ 0.5 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ 0.5 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ 0.5 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ 0.5 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 0.5 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 0.5 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 0.5 K)) 1)))) 120) into 0
10.627 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 0.5 K))))))))) into 0
10.629 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 0.5 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
10.630 * [backup-simplify]: Simplify 0 into 0
10.643 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ 0.5 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ 0.5 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ 0.5 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ 0.5 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ 0.5 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 0.5 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 0.5 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ 0.5 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ 0.5 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 0.5 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ 0.5 K)) 1)))) 720) into 0
10.645 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 0.5 K)))))))))) into 0
10.652 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 0.5 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.652 * [backup-simplify]: Simplify 0 into 0
10.652 * [backup-simplify]: Simplify (pow (cos (/ 0.5 (/ 1 K))) 1/3) into (pow (cos (* 0.5 K)) 1/3)
10.653 * [backup-simplify]: Simplify (cbrt (cos (/ (/ 1 (- K)) 2.0))) into (pow (cos (/ -0.5 K)) 1/3)
10.653 * [approximate]: Taking taylor expansion of (pow (cos (/ -0.5 K)) 1/3) in (K) around 0
10.653 * [taylor]: Taking taylor expansion of (pow (cos (/ -0.5 K)) 1/3) in K
10.653 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -0.5 K))))) in K
10.653 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -0.5 K)))) in K
10.653 * [taylor]: Taking taylor expansion of 1/3 in K
10.653 * [backup-simplify]: Simplify 1/3 into 1/3
10.653 * [taylor]: Taking taylor expansion of (log (cos (/ -0.5 K))) in K
10.653 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in K
10.653 * [taylor]: Taking taylor expansion of (/ -0.5 K) in K
10.653 * [taylor]: Taking taylor expansion of -0.5 in K
10.653 * [backup-simplify]: Simplify -0.5 into -0.5
10.653 * [taylor]: Taking taylor expansion of K in K
10.653 * [backup-simplify]: Simplify 0 into 0
10.653 * [backup-simplify]: Simplify 1 into 1
10.654 * [backup-simplify]: Simplify (/ -0.5 1) into -0.5
10.654 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
10.654 * [backup-simplify]: Simplify (log (cos (/ -0.5 K))) into (log (cos (/ -0.5 K)))
10.654 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ -0.5 K)))) into (* 1/3 (log (cos (/ -0.5 K))))
10.654 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ -0.5 K))))) into (pow (cos (/ -0.5 K)) 1/3)
10.654 * [taylor]: Taking taylor expansion of (pow (cos (/ -0.5 K)) 1/3) in K
10.654 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -0.5 K))))) in K
10.654 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -0.5 K)))) in K
10.654 * [taylor]: Taking taylor expansion of 1/3 in K
10.654 * [backup-simplify]: Simplify 1/3 into 1/3
10.654 * [taylor]: Taking taylor expansion of (log (cos (/ -0.5 K))) in K
10.654 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in K
10.654 * [taylor]: Taking taylor expansion of (/ -0.5 K) in K
10.654 * [taylor]: Taking taylor expansion of -0.5 in K
10.654 * [backup-simplify]: Simplify -0.5 into -0.5
10.654 * [taylor]: Taking taylor expansion of K in K
10.654 * [backup-simplify]: Simplify 0 into 0
10.655 * [backup-simplify]: Simplify 1 into 1
10.655 * [backup-simplify]: Simplify (/ -0.5 1) into -0.5
10.655 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
10.655 * [backup-simplify]: Simplify (log (cos (/ -0.5 K))) into (log (cos (/ -0.5 K)))
10.656 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ -0.5 K)))) into (* 1/3 (log (cos (/ -0.5 K))))
10.656 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ -0.5 K))))) into (pow (cos (/ -0.5 K)) 1/3)
10.656 * [backup-simplify]: Simplify (pow (cos (/ -0.5 K)) 1/3) into (pow (cos (/ -0.5 K)) 1/3)
10.657 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -0.5 K)) 1)))) 1) into 0
10.657 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ -0.5 K))))) into 0
10.658 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -0.5 K))))) (+ (* (/ (pow 0 1) 1)))) into 0
10.658 * [backup-simplify]: Simplify 0 into 0
10.660 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ -0.5 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ -0.5 K)) 1)))) 2) into 0
10.661 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ -0.5 K)))))) into 0
10.663 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -0.5 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.663 * [backup-simplify]: Simplify 0 into 0
10.666 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ -0.5 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ -0.5 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ -0.5 K)) 1)))) 6) into 0
10.667 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -0.5 K))))))) into 0
10.669 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -0.5 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
10.669 * [backup-simplify]: Simplify 0 into 0
10.677 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ -0.5 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ -0.5 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ -0.5 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ -0.5 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ -0.5 K)) 1)))) 24) into 0
10.678 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -0.5 K)))))))) into 0
10.681 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -0.5 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.681 * [backup-simplify]: Simplify 0 into 0
10.689 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ -0.5 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ -0.5 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ -0.5 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ -0.5 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -0.5 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -0.5 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -0.5 K)) 1)))) 120) into 0
10.692 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -0.5 K))))))))) into 0
10.695 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -0.5 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
10.695 * [backup-simplify]: Simplify 0 into 0
10.703 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ -0.5 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ -0.5 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ -0.5 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ -0.5 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ -0.5 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -0.5 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -0.5 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ -0.5 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ -0.5 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -0.5 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ -0.5 K)) 1)))) 720) into 0
10.705 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -0.5 K)))))))))) into 0
10.708 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -0.5 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.708 * [backup-simplify]: Simplify 0 into 0
10.708 * [backup-simplify]: Simplify (pow (cos (/ -0.5 (/ 1 (- K)))) 1/3) into (pow (cos (* 0.5 K)) 1/3)
10.708 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2)
10.709 * [backup-simplify]: Simplify (cbrt (cos (/ K 2.0))) into (pow (cos (* 0.5 K)) 1/3)
10.709 * [approximate]: Taking taylor expansion of (pow (cos (* 0.5 K)) 1/3) in (K) around 0
10.709 * [taylor]: Taking taylor expansion of (pow (cos (* 0.5 K)) 1/3) in K
10.709 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (* 0.5 K))))) in K
10.709 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (* 0.5 K)))) in K
10.709 * [taylor]: Taking taylor expansion of 1/3 in K
10.709 * [backup-simplify]: Simplify 1/3 into 1/3
10.709 * [taylor]: Taking taylor expansion of (log (cos (* 0.5 K))) in K
10.709 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in K
10.709 * [taylor]: Taking taylor expansion of (* 0.5 K) in K
10.709 * [taylor]: Taking taylor expansion of 0.5 in K
10.709 * [backup-simplify]: Simplify 0.5 into 0.5
10.709 * [taylor]: Taking taylor expansion of K in K
10.709 * [backup-simplify]: Simplify 0 into 0
10.709 * [backup-simplify]: Simplify 1 into 1
10.709 * [backup-simplify]: Simplify (* 0.5 0) into 0
10.710 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5
10.710 * [backup-simplify]: Simplify (log 1) into 0
10.711 * [backup-simplify]: Simplify (* 1/3 0) into 0
10.711 * [backup-simplify]: Simplify (+ 0) into 0
10.712 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
10.712 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0
10.714 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0.5 2) 2)) 0) into (- 0.125)
10.720 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 0.125)) 1)) (pow 1 1)))) 2) into -0.125
10.722 * [backup-simplify]: Simplify (+ (* 1/3 -0.125) (+ (* 0 0) (* 0 0))) into (- 0.041666666666666664)
10.722 * [backup-simplify]: Simplify (exp 0) into 1
10.722 * [taylor]: Taking taylor expansion of (pow (cos (* 0.5 K)) 1/3) in K
10.722 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (* 0.5 K))))) in K
10.722 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (* 0.5 K)))) in K
10.722 * [taylor]: Taking taylor expansion of 1/3 in K
10.722 * [backup-simplify]: Simplify 1/3 into 1/3
10.722 * [taylor]: Taking taylor expansion of (log (cos (* 0.5 K))) in K
10.722 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in K
10.722 * [taylor]: Taking taylor expansion of (* 0.5 K) in K
10.722 * [taylor]: Taking taylor expansion of 0.5 in K
10.722 * [backup-simplify]: Simplify 0.5 into 0.5
10.722 * [taylor]: Taking taylor expansion of K in K
10.722 * [backup-simplify]: Simplify 0 into 0
10.722 * [backup-simplify]: Simplify 1 into 1
10.722 * [backup-simplify]: Simplify (* 0.5 0) into 0
10.723 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5
10.723 * [backup-simplify]: Simplify (log 1) into 0
10.724 * [backup-simplify]: Simplify (* 1/3 0) into 0
10.724 * [backup-simplify]: Simplify (+ 0) into 0
10.725 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
10.726 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0
10.729 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0.5 2) 2)) 0) into (- 0.125)
10.741 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 0.125)) 1)) (pow 1 1)))) 2) into -0.125
10.743 * [backup-simplify]: Simplify (+ (* 1/3 -0.125) (+ (* 0 0) (* 0 0))) into (- 0.041666666666666664)
10.743 * [backup-simplify]: Simplify (exp 0) into 1
10.743 * [backup-simplify]: Simplify 1 into 1
10.744 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0
10.744 * [backup-simplify]: Simplify 0 into 0
10.751 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- 0.041666666666666664) 1) 1)))) into -0.041666666666666664
10.751 * [backup-simplify]: Simplify -0.041666666666666664 into -0.041666666666666664
10.752 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0
10.753 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0.5 1) 1) (/ (pow 0 1) 1)) 0) into 0
10.758 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- 0.125)) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
10.760 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 -0.125) (+ (* 0 0) (* 0 0)))) into 0
10.762 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- 0.041666666666666664) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
10.762 * [backup-simplify]: Simplify 0 into 0
10.764 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
10.770 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0.5 4) 24)) 0 (* -1 (/ (pow 0.5 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0.0026041666666666665
10.804 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- 0.125)) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 (- 0.125)) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0.0026041666666666665) 1)) (pow 1 1)))) 24) into -0.005208333333333333
10.806 * [backup-simplify]: Simplify (+ (* 1/3 -0.005208333333333333) (+ (* 0 0) (+ (* 0 -0.125) (+ (* 0 0) (* 0 0))))) into (- 0.001736111111111111)
10.815 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (- 0.041666666666666664) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (- 0.041666666666666664) 2) 2)) (* (/ (pow (- 0.001736111111111111) 1) 1)))) into -0.0008680555555555555
10.815 * [backup-simplify]: Simplify -0.0008680555555555555 into -0.0008680555555555555
10.816 * [backup-simplify]: Simplify (+ (* -0.0008680555555555555 (pow K 4)) (+ (* -0.041666666666666664 (pow K 2)) 1)) into (- 1 (+ (* 0.0008680555555555555 (pow K 4)) (* 0.041666666666666664 (pow K 2))))
10.816 * [backup-simplify]: Simplify (cbrt (cos (/ (/ 1 K) 2.0))) into (pow (cos (/ 0.5 K)) 1/3)
10.816 * [approximate]: Taking taylor expansion of (pow (cos (/ 0.5 K)) 1/3) in (K) around 0
10.816 * [taylor]: Taking taylor expansion of (pow (cos (/ 0.5 K)) 1/3) in K
10.816 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 0.5 K))))) in K
10.816 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 0.5 K)))) in K
10.816 * [taylor]: Taking taylor expansion of 1/3 in K
10.816 * [backup-simplify]: Simplify 1/3 into 1/3
10.816 * [taylor]: Taking taylor expansion of (log (cos (/ 0.5 K))) in K
10.816 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in K
10.816 * [taylor]: Taking taylor expansion of (/ 0.5 K) in K
10.816 * [taylor]: Taking taylor expansion of 0.5 in K
10.816 * [backup-simplify]: Simplify 0.5 into 0.5
10.816 * [taylor]: Taking taylor expansion of K in K
10.816 * [backup-simplify]: Simplify 0 into 0
10.816 * [backup-simplify]: Simplify 1 into 1
10.816 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5
10.816 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
10.816 * [backup-simplify]: Simplify (log (cos (/ 0.5 K))) into (log (cos (/ 0.5 K)))
10.816 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ 0.5 K)))) into (* 1/3 (log (cos (/ 0.5 K))))
10.817 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ 0.5 K))))) into (pow (cos (/ 0.5 K)) 1/3)
10.817 * [taylor]: Taking taylor expansion of (pow (cos (/ 0.5 K)) 1/3) in K
10.817 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 0.5 K))))) in K
10.817 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 0.5 K)))) in K
10.817 * [taylor]: Taking taylor expansion of 1/3 in K
10.817 * [backup-simplify]: Simplify 1/3 into 1/3
10.817 * [taylor]: Taking taylor expansion of (log (cos (/ 0.5 K))) in K
10.817 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in K
10.817 * [taylor]: Taking taylor expansion of (/ 0.5 K) in K
10.817 * [taylor]: Taking taylor expansion of 0.5 in K
10.817 * [backup-simplify]: Simplify 0.5 into 0.5
10.817 * [taylor]: Taking taylor expansion of K in K
10.817 * [backup-simplify]: Simplify 0 into 0
10.817 * [backup-simplify]: Simplify 1 into 1
10.817 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5
10.817 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
10.817 * [backup-simplify]: Simplify (log (cos (/ 0.5 K))) into (log (cos (/ 0.5 K)))
10.817 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ 0.5 K)))) into (* 1/3 (log (cos (/ 0.5 K))))
10.817 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ 0.5 K))))) into (pow (cos (/ 0.5 K)) 1/3)
10.817 * [backup-simplify]: Simplify (pow (cos (/ 0.5 K)) 1/3) into (pow (cos (/ 0.5 K)) 1/3)
10.818 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 0.5 K)) 1)))) 1) into 0
10.818 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ 0.5 K))))) into 0
10.819 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 0.5 K))))) (+ (* (/ (pow 0 1) 1)))) into 0
10.819 * [backup-simplify]: Simplify 0 into 0
10.820 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ 0.5 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ 0.5 K)) 1)))) 2) into 0
10.821 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ 0.5 K)))))) into 0
10.821 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 0.5 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.821 * [backup-simplify]: Simplify 0 into 0
10.823 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ 0.5 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ 0.5 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ 0.5 K)) 1)))) 6) into 0
10.824 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 0.5 K))))))) into 0
10.826 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 0.5 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
10.826 * [backup-simplify]: Simplify 0 into 0
10.831 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ 0.5 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ 0.5 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ 0.5 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ 0.5 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ 0.5 K)) 1)))) 24) into 0
10.833 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 0.5 K)))))))) into 0
10.836 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 0.5 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.836 * [backup-simplify]: Simplify 0 into 0
10.842 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ 0.5 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ 0.5 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ 0.5 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ 0.5 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 0.5 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 0.5 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 0.5 K)) 1)))) 120) into 0
10.843 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 0.5 K))))))))) into 0
10.846 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 0.5 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
10.846 * [backup-simplify]: Simplify 0 into 0
10.853 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ 0.5 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ 0.5 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ 0.5 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ 0.5 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ 0.5 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 0.5 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 0.5 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ 0.5 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ 0.5 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 0.5 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ 0.5 K)) 1)))) 720) into 0
10.855 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 0.5 K)))))))))) into 0
10.858 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 0.5 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.858 * [backup-simplify]: Simplify 0 into 0
10.858 * [backup-simplify]: Simplify (pow (cos (/ 0.5 (/ 1 K))) 1/3) into (pow (cos (* 0.5 K)) 1/3)
10.858 * [backup-simplify]: Simplify (cbrt (cos (/ (/ 1 (- K)) 2.0))) into (pow (cos (/ -0.5 K)) 1/3)
10.858 * [approximate]: Taking taylor expansion of (pow (cos (/ -0.5 K)) 1/3) in (K) around 0
10.858 * [taylor]: Taking taylor expansion of (pow (cos (/ -0.5 K)) 1/3) in K
10.858 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -0.5 K))))) in K
10.858 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -0.5 K)))) in K
10.858 * [taylor]: Taking taylor expansion of 1/3 in K
10.858 * [backup-simplify]: Simplify 1/3 into 1/3
10.858 * [taylor]: Taking taylor expansion of (log (cos (/ -0.5 K))) in K
10.858 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in K
10.858 * [taylor]: Taking taylor expansion of (/ -0.5 K) in K
10.858 * [taylor]: Taking taylor expansion of -0.5 in K
10.858 * [backup-simplify]: Simplify -0.5 into -0.5
10.858 * [taylor]: Taking taylor expansion of K in K
10.858 * [backup-simplify]: Simplify 0 into 0
10.858 * [backup-simplify]: Simplify 1 into 1
10.859 * [backup-simplify]: Simplify (/ -0.5 1) into -0.5
10.859 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
10.859 * [backup-simplify]: Simplify (log (cos (/ -0.5 K))) into (log (cos (/ -0.5 K)))
10.859 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ -0.5 K)))) into (* 1/3 (log (cos (/ -0.5 K))))
10.859 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ -0.5 K))))) into (pow (cos (/ -0.5 K)) 1/3)
10.859 * [taylor]: Taking taylor expansion of (pow (cos (/ -0.5 K)) 1/3) in K
10.859 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -0.5 K))))) in K
10.859 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -0.5 K)))) in K
10.859 * [taylor]: Taking taylor expansion of 1/3 in K
10.859 * [backup-simplify]: Simplify 1/3 into 1/3
10.859 * [taylor]: Taking taylor expansion of (log (cos (/ -0.5 K))) in K
10.859 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in K
10.859 * [taylor]: Taking taylor expansion of (/ -0.5 K) in K
10.859 * [taylor]: Taking taylor expansion of -0.5 in K
10.859 * [backup-simplify]: Simplify -0.5 into -0.5
10.859 * [taylor]: Taking taylor expansion of K in K
10.859 * [backup-simplify]: Simplify 0 into 0
10.859 * [backup-simplify]: Simplify 1 into 1
10.860 * [backup-simplify]: Simplify (/ -0.5 1) into -0.5
10.860 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
10.860 * [backup-simplify]: Simplify (log (cos (/ -0.5 K))) into (log (cos (/ -0.5 K)))
10.860 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ -0.5 K)))) into (* 1/3 (log (cos (/ -0.5 K))))
10.860 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ -0.5 K))))) into (pow (cos (/ -0.5 K)) 1/3)
10.860 * [backup-simplify]: Simplify (pow (cos (/ -0.5 K)) 1/3) into (pow (cos (/ -0.5 K)) 1/3)
10.861 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -0.5 K)) 1)))) 1) into 0
10.861 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ -0.5 K))))) into 0
10.861 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -0.5 K))))) (+ (* (/ (pow 0 1) 1)))) into 0
10.861 * [backup-simplify]: Simplify 0 into 0
10.863 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ -0.5 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ -0.5 K)) 1)))) 2) into 0
10.863 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ -0.5 K)))))) into 0
10.864 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -0.5 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.864 * [backup-simplify]: Simplify 0 into 0
10.866 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ -0.5 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ -0.5 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ -0.5 K)) 1)))) 6) into 0
10.867 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -0.5 K))))))) into 0
10.868 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -0.5 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
10.868 * [backup-simplify]: Simplify 0 into 0
10.871 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ -0.5 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ -0.5 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ -0.5 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ -0.5 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ -0.5 K)) 1)))) 24) into 0
10.872 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -0.5 K)))))))) into 0
10.873 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -0.5 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.873 * [backup-simplify]: Simplify 0 into 0
10.880 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ -0.5 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ -0.5 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ -0.5 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ -0.5 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -0.5 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -0.5 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -0.5 K)) 1)))) 120) into 0
10.882 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -0.5 K))))))))) into 0
10.885 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -0.5 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
10.885 * [backup-simplify]: Simplify 0 into 0
10.901 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ -0.5 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ -0.5 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ -0.5 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ -0.5 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ -0.5 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -0.5 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -0.5 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ -0.5 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ -0.5 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -0.5 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ -0.5 K)) 1)))) 720) into 0
10.904 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -0.5 K)))))))))) into 0
10.910 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -0.5 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.910 * [backup-simplify]: Simplify 0 into 0
10.910 * [backup-simplify]: Simplify (pow (cos (/ -0.5 (/ 1 (- K)))) 1/3) into (pow (cos (* 0.5 K)) 1/3)
10.910 * * * [progress]: simplifying candidates
10.914 * [simplify]: Simplifying:
  (log (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0))))
  (exp (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0))))
  (* (cbrt (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))) (cbrt (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))))
  (cbrt (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0))))
  (* (* (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0))))
  (sqrt (* (cbrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0))) (cbrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))))
  (sqrt (cbrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0))))
  (sqrt (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0))))
  (sqrt (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0))))
  (sqrt 1)
  (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))
  (sqrt 1)
  (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))
  (sqrt (+ (pow 1.0 3) (pow (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0) 3)))
  (sqrt (+ (* 1.0 1.0) (- (* (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0) (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)) (* 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))))
  (sqrt (- (* 1.0 1.0) (* (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0) (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0))))
  (sqrt (- 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))
  (/ 1 2)
  (sqrt (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0))))
  (sqrt (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0))))
  (* (* (* (* -2.0 (* J (cbrt (cos (/ K 2.0))))) (cbrt (cos (/ K 2.0)))) (cbrt (cos (/ K 2.0)))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0))))
  (* (* (* (* -2.0 (* J (cbrt (cos (/ K 2.0))))) (cbrt (cos (/ K 2.0)))) (cbrt (cos (/ K 2.0)))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0))))
  (* (* (* (* -2.0 (* J (cbrt (cos (/ K 2.0))))) (cbrt (cos (/ K 2.0)))) (cbrt (cos (/ K 2.0)))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0))))
  (* (* (* (* -2.0 (* J (cbrt (cos (/ K 2.0))))) (cbrt (cos (/ K 2.0)))) (cbrt (cos (/ K 2.0)))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0))))
  (* (* (* (* -2.0 (* J (cbrt (cos (/ K 2.0))))) (cbrt (cos (/ K 2.0)))) (cbrt (cos (/ K 2.0)))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0))))
  (+ (+ (+ (+ (log -2.0) (+ (log J) (log (cbrt (cos (/ K 2.0)))))) (log (cbrt (cos (/ K 2.0))))) (log (cbrt (cos (/ K 2.0))))) (log (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))))
  (+ (+ (+ (+ (log -2.0) (log (* J (cbrt (cos (/ K 2.0)))))) (log (cbrt (cos (/ K 2.0))))) (log (cbrt (cos (/ K 2.0))))) (log (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))))
  (+ (+ (+ (log (* -2.0 (* J (cbrt (cos (/ K 2.0)))))) (log (cbrt (cos (/ K 2.0))))) (log (cbrt (cos (/ K 2.0))))) (log (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))))
  (+ (+ (log (* (* -2.0 (* J (cbrt (cos (/ K 2.0))))) (cbrt (cos (/ K 2.0))))) (log (cbrt (cos (/ K 2.0))))) (log (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))))
  (+ (log (* (* (* -2.0 (* J (cbrt (cos (/ K 2.0))))) (cbrt (cos (/ K 2.0)))) (cbrt (cos (/ K 2.0))))) (log (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))))
  (log (* (* (* (* -2.0 (* J (cbrt (cos (/ K 2.0))))) (cbrt (cos (/ K 2.0)))) (cbrt (cos (/ K 2.0)))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))))
  (exp (* (* (* (* -2.0 (* J (cbrt (cos (/ K 2.0))))) (cbrt (cos (/ K 2.0)))) (cbrt (cos (/ K 2.0)))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))))
  (* (* (* (* (* (* -2.0 -2.0) -2.0) (* (* (* J J) J) (cos (/ K 2.0)))) (cos (/ K 2.0))) (cos (/ K 2.0))) (* (* (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))))
  (* (* (* (* (* (* -2.0 -2.0) -2.0) (* (* (* J (cbrt (cos (/ K 2.0)))) (* J (cbrt (cos (/ K 2.0))))) (* J (cbrt (cos (/ K 2.0)))))) (cos (/ K 2.0))) (cos (/ K 2.0))) (* (* (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))))
  (* (* (* (* (* (* -2.0 (* J (cbrt (cos (/ K 2.0))))) (* -2.0 (* J (cbrt (cos (/ K 2.0)))))) (* -2.0 (* J (cbrt (cos (/ K 2.0)))))) (cos (/ K 2.0))) (cos (/ K 2.0))) (* (* (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))))
  (* (* (* (* (* (* -2.0 (* J (cbrt (cos (/ K 2.0))))) (cbrt (cos (/ K 2.0)))) (* (* -2.0 (* J (cbrt (cos (/ K 2.0))))) (cbrt (cos (/ K 2.0))))) (* (* -2.0 (* J (cbrt (cos (/ K 2.0))))) (cbrt (cos (/ K 2.0))))) (cos (/ K 2.0))) (* (* (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))))
  (* (* (* (* (* (* -2.0 (* J (cbrt (cos (/ K 2.0))))) (cbrt (cos (/ K 2.0)))) (cbrt (cos (/ K 2.0)))) (* (* (* -2.0 (* J (cbrt (cos (/ K 2.0))))) (cbrt (cos (/ K 2.0)))) (cbrt (cos (/ K 2.0))))) (* (* (* -2.0 (* J (cbrt (cos (/ K 2.0))))) (cbrt (cos (/ K 2.0)))) (cbrt (cos (/ K 2.0))))) (* (* (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))))
  (* (cbrt (* (* (* (* -2.0 (* J (cbrt (cos (/ K 2.0))))) (cbrt (cos (/ K 2.0)))) (cbrt (cos (/ K 2.0)))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0))))) (cbrt (* (* (* (* -2.0 (* J (cbrt (cos (/ K 2.0))))) (cbrt (cos (/ K 2.0)))) (cbrt (cos (/ K 2.0)))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0))))))
  (cbrt (* (* (* (* -2.0 (* J (cbrt (cos (/ K 2.0))))) (cbrt (cos (/ K 2.0)))) (cbrt (cos (/ K 2.0)))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))))
  (* (* (* (* (* (* -2.0 (* J (cbrt (cos (/ K 2.0))))) (cbrt (cos (/ K 2.0)))) (cbrt (cos (/ K 2.0)))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))) (* (* (* (* -2.0 (* J (cbrt (cos (/ K 2.0))))) (cbrt (cos (/ K 2.0)))) (cbrt (cos (/ K 2.0)))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0))))) (* (* (* (* -2.0 (* J (cbrt (cos (/ K 2.0))))) (cbrt (cos (/ K 2.0)))) (cbrt (cos (/ K 2.0)))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))))
  (sqrt (* (* (* (* -2.0 (* J (cbrt (cos (/ K 2.0))))) (cbrt (cos (/ K 2.0)))) (cbrt (cos (/ K 2.0)))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))))
  (sqrt (* (* (* (* -2.0 (* J (cbrt (cos (/ K 2.0))))) (cbrt (cos (/ K 2.0)))) (cbrt (cos (/ K 2.0)))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))))
  (* (* (* (* -2.0 (* J (cbrt (cos (/ K 2.0))))) (cbrt (cos (/ K 2.0)))) (cbrt (cos (/ K 2.0)))) (* (cbrt (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))) (cbrt (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0))))))
  (* (* (* (* -2.0 (* J (cbrt (cos (/ K 2.0))))) (cbrt (cos (/ K 2.0)))) (cbrt (cos (/ K 2.0)))) (sqrt (* (cbrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0))) (cbrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0))))))
  (* (* (* (* -2.0 (* J (cbrt (cos (/ K 2.0))))) (cbrt (cos (/ K 2.0)))) (cbrt (cos (/ K 2.0)))) (sqrt (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))))
  (* (* (* (* -2.0 (* J (cbrt (cos (/ K 2.0))))) (cbrt (cos (/ K 2.0)))) (cbrt (cos (/ K 2.0)))) (sqrt 1))
  (* (* (* (* -2.0 (* J (cbrt (cos (/ K 2.0))))) (cbrt (cos (/ K 2.0)))) (cbrt (cos (/ K 2.0)))) (sqrt 1))
  (* (* (* (* -2.0 (* J (cbrt (cos (/ K 2.0))))) (cbrt (cos (/ K 2.0)))) (cbrt (cos (/ K 2.0)))) (sqrt (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))))
  (* (* (* (* -2.0 (* J (cbrt (cos (/ K 2.0))))) (cbrt (cos (/ K 2.0)))) (cbrt (cos (/ K 2.0)))) 1)
  (* (cbrt (cos (/ K 2.0))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0))))
  (* (* (* (* -2.0 (* J (cbrt (cos (/ K 2.0))))) (cbrt (cos (/ K 2.0)))) (cbrt (cos (/ K 2.0)))) (sqrt (+ (pow 1.0 3) (pow (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0) 3))))
  (* (* (* (* -2.0 (* J (cbrt (cos (/ K 2.0))))) (cbrt (cos (/ K 2.0)))) (cbrt (cos (/ K 2.0)))) (sqrt (- (* 1.0 1.0) (* (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0) (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))))
  (log (cbrt (cos (/ K 2.0))))
  (exp (cbrt (cos (/ K 2.0))))
  (cbrt (* (cbrt (cos (/ K 2.0))) (cbrt (cos (/ K 2.0)))))
  (cbrt (cbrt (cos (/ K 2.0))))
  (cbrt (sqrt (cos (/ K 2.0))))
  (cbrt (sqrt (cos (/ K 2.0))))
  (cbrt 1)
  (cbrt (cos (/ K 2.0)))
  (* (cbrt (cbrt (cos (/ K 2.0)))) (cbrt (cbrt (cos (/ K 2.0)))))
  (cbrt (cbrt (cos (/ K 2.0))))
  (* (* (cbrt (cos (/ K 2.0))) (cbrt (cos (/ K 2.0)))) (cbrt (cos (/ K 2.0))))
  (sqrt (cbrt (cos (/ K 2.0))))
  (sqrt (cbrt (cos (/ K 2.0))))
  (log (cbrt (cos (/ K 2.0))))
  (exp (cbrt (cos (/ K 2.0))))
  (cbrt (* (cbrt (cos (/ K 2.0))) (cbrt (cos (/ K 2.0)))))
  (cbrt (cbrt (cos (/ K 2.0))))
  (cbrt (sqrt (cos (/ K 2.0))))
  (cbrt (sqrt (cos (/ K 2.0))))
  (cbrt 1)
  (cbrt (cos (/ K 2.0)))
  (* (cbrt (cbrt (cos (/ K 2.0)))) (cbrt (cbrt (cos (/ K 2.0)))))
  (cbrt (cbrt (cos (/ K 2.0))))
  (* (* (cbrt (cos (/ K 2.0))) (cbrt (cos (/ K 2.0)))) (cbrt (cos (/ K 2.0))))
  (sqrt (cbrt (cos (/ K 2.0))))
  (sqrt (cbrt (cos (/ K 2.0))))
  (sqrt 1.0)
  (/ (* (sqrt 0.25) U) (* (cos (* 0.5 K)) J))
  (/ (* (sqrt 0.25) U) (* (cos (* 0.5 K)) J))
  0
  (* -2.0 (* (sqrt 1.0) (* (cos (* 0.5 K)) J)))
  (* -2.0 (* (sqrt 1.0) (* (cos (* 0.5 K)) J)))
  (- 1 (+ (* 0.0008680555555555555 (pow K 4)) (* 0.041666666666666664 (pow K 2))))
  (pow (cos (* 0.5 K)) 1/3)
  (pow (cos (* 0.5 K)) 1/3)
  (- 1 (+ (* 0.0008680555555555555 (pow K 4)) (* 0.041666666666666664 (pow K 2))))
  (pow (cos (* 0.5 K)) 1/3)
  (pow (cos (* 0.5 K)) 1/3)
10.918 * * [simplify]: iteration 0: 147 enodes
10.973 * * [simplify]: iteration 1: 382 enodes
11.189 * * [simplify]: iteration 2: 1891 enodes
11.942 * * [simplify]: iteration complete: 5000 enodes
11.942 * * [simplify]: Extracting #0: cost 46 inf + 0
11.944 * * [simplify]: Extracting #1: cost 561 inf + 3
11.952 * * [simplify]: Extracting #2: cost 1407 inf + 17
11.962 * * [simplify]: Extracting #3: cost 1744 inf + 132
11.969 * * [simplify]: Extracting #4: cost 1709 inf + 467
11.976 * * [simplify]: Extracting #5: cost 1560 inf + 2105
11.989 * * [simplify]: Extracting #6: cost 1116 inf + 8774
12.002 * * [simplify]: Extracting #7: cost 426 inf + 25755
12.014 * * [simplify]: Extracting #8: cost 19 inf + 39764
12.026 * * [simplify]: Extracting #9: cost 0 inf + 40552
12.038 * * [simplify]: Extracting #10: cost 0 inf + 40548
12.050 * [simplify]: Simplified to:
  (log (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))))
  (exp (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))))
  (* (cbrt (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0)))) (cbrt (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0)))))
  (cbrt (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))))
  (pow (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) 3)
  (fabs (cbrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))))
  (sqrt (cbrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))))
  (sqrt (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))))
  (sqrt (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))))
  1
  (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0)))
  1
  (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0)))
  (sqrt (+ (pow 1.0 3) (pow (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0) 3)))
  (sqrt (+ (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) (* 2 2.0)) (* 1.0 (- 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0)))))
  (sqrt (- (* 1.0 1.0) (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) (* 2 2.0))))
  (sqrt (- 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0)))
  1/2
  (sqrt (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))))
  (sqrt (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))))
  (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0))))
  (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0))))
  (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0))))
  (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0))))
  (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0))))
  (log (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0)))))
  (log (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0)))))
  (log (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0)))))
  (log (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0)))))
  (log (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0)))))
  (log (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0)))))
  (pow (pow (exp (* -2.0 J)) (cos (/ K 2.0))) (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))))
  (* (pow (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) 3) (* (* (pow J 3) (pow -2.0 3)) (pow (cos (/ K 2.0)) 3)))
  (* (pow (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) 3) (* (* (pow J 3) (pow -2.0 3)) (pow (cos (/ K 2.0)) 3)))
  (* (pow (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) 3) (* (* (pow J 3) (pow -2.0 3)) (pow (cos (/ K 2.0)) 3)))
  (* (pow (* (* J (cbrt (cos (/ K 2.0)))) (* -2.0 (cbrt (cos (/ K 2.0))))) 3) (* (cos (/ K 2.0)) (pow (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) 3)))
  (pow (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0)))) 3)
  (* (cbrt (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0))))) (cbrt (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0))))))
  (cbrt (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0)))))
  (pow (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0)))) 3)
  (sqrt (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0)))))
  (sqrt (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0)))))
  (* (* (cbrt (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0)))) (* (* -2.0 J) (cos (/ K 2.0)))) (cbrt (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0)))))
  (* (fabs (cbrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0)))) (* (* -2.0 J) (cos (/ K 2.0))))
  (* (* (* -2.0 J) (cos (/ K 2.0))) (sqrt (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0)))))
  (* (* -2.0 J) (cos (/ K 2.0)))
  (* (* -2.0 J) (cos (/ K 2.0)))
  (* (* (* -2.0 J) (cos (/ K 2.0))) (sqrt (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0)))))
  (* (* -2.0 J) (cos (/ K 2.0)))
  (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (cbrt (cos (/ K 2.0))))
  (* (sqrt (+ (pow 1.0 3) (pow (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0) 3))) (* (* -2.0 J) (cos (/ K 2.0))))
  (* (* (* -2.0 J) (cos (/ K 2.0))) (sqrt (- (* 1.0 1.0) (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) (* 2 2.0)))))
  (log (cbrt (cos (/ K 2.0))))
  (exp (cbrt (cos (/ K 2.0))))
  (cbrt (* (cbrt (cos (/ K 2.0))) (cbrt (cos (/ K 2.0)))))
  (cbrt (cbrt (cos (/ K 2.0))))
  (cbrt (sqrt (cos (/ K 2.0))))
  (cbrt (sqrt (cos (/ K 2.0))))
  1
  (cbrt (cos (/ K 2.0)))
  (* (cbrt (cbrt (cos (/ K 2.0)))) (cbrt (cbrt (cos (/ K 2.0)))))
  (cbrt (cbrt (cos (/ K 2.0))))
  (cos (/ K 2.0))
  (sqrt (cbrt (cos (/ K 2.0))))
  (sqrt (cbrt (cos (/ K 2.0))))
  (log (cbrt (cos (/ K 2.0))))
  (exp (cbrt (cos (/ K 2.0))))
  (cbrt (* (cbrt (cos (/ K 2.0))) (cbrt (cos (/ K 2.0)))))
  (cbrt (cbrt (cos (/ K 2.0))))
  (cbrt (sqrt (cos (/ K 2.0))))
  (cbrt (sqrt (cos (/ K 2.0))))
  1
  (cbrt (cos (/ K 2.0)))
  (* (cbrt (cbrt (cos (/ K 2.0)))) (cbrt (cbrt (cos (/ K 2.0)))))
  (cbrt (cbrt (cos (/ K 2.0))))
  (cos (/ K 2.0))
  (sqrt (cbrt (cos (/ K 2.0))))
  (sqrt (cbrt (cos (/ K 2.0))))
  (sqrt 1.0)
  (/ (/ (* U (sqrt 0.25)) J) (cos (* K 0.5)))
  (/ (/ (* U (sqrt 0.25)) J) (cos (* K 0.5)))
  0
  (* (* (* (sqrt 1.0) J) (cos (* K 0.5))) -2.0)
  (* (* (* (sqrt 1.0) J) (cos (* K 0.5))) -2.0)
  (- (- 1 (* K (* K 0.041666666666666664))) (* (pow K 4) 0.0008680555555555555))
  (cbrt (cos (* K 0.5)))
  (cbrt (cos (* K 0.5)))
  (- (- 1 (* K (* K 0.041666666666666664))) (* (pow K 4) 0.0008680555555555555))
  (cbrt (cos (* K 0.5)))
  (cbrt (cos (* K 0.5)))
12.050 * * * [progress]: adding candidates to table
12.640 * * [progress]: iteration 4 / 4
12.640 * * * [progress]: picking best candidate
12.711 * * * * [pick]: Picked  #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0))))) (cbrt (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0)))))) (cbrt (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0)))))))>
12.711 * * * [progress]: localizing error
12.798 * * * [progress]: generating rewritten candidates
12.798 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1)
12.880 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1)
12.974 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1)
13.051 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1)
13.328 * * * [progress]: generating series expansions
13.328 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1)
13.329 * [backup-simplify]: Simplify (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) into (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0))
13.329 * [approximate]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0)) in (U K J) around 0
13.329 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0)) in J
13.329 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0) in J
13.329 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) in J
13.329 * [taylor]: Taking taylor expansion of 0.25 in J
13.329 * [backup-simplify]: Simplify 0.25 into 0.25
13.329 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2))) in J
13.329 * [taylor]: Taking taylor expansion of (pow U 2) in J
13.329 * [taylor]: Taking taylor expansion of U in J
13.329 * [backup-simplify]: Simplify U into U
13.329 * [taylor]: Taking taylor expansion of (* (pow J 2) (pow (cos (* 0.5 K)) 2)) in J
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 * [taylor]: Taking taylor expansion of (pow (cos (* 0.5 K)) 2) in J
13.329 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in J
13.329 * [taylor]: Taking taylor expansion of (* 0.5 K) in J
13.329 * [taylor]: Taking taylor expansion of 0.5 in J
13.329 * [backup-simplify]: Simplify 0.5 into 0.5
13.329 * [taylor]: Taking taylor expansion of K in J
13.329 * [backup-simplify]: Simplify K into K
13.329 * [backup-simplify]: Simplify (* 0.5 K) into (* 0.5 K)
13.329 * [backup-simplify]: Simplify (cos (* 0.5 K)) into (cos (* 0.5 K))
13.329 * [backup-simplify]: Simplify (sin (* 0.5 K)) into (sin (* 0.5 K))
13.330 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) 1) into (cos (* 0.5 K))
13.330 * [backup-simplify]: Simplify (* (sin (* 0.5 K)) 0) into 0
13.332 * [backup-simplify]: Simplify (- 0) into 0
13.332 * [backup-simplify]: Simplify (+ (cos (* 0.5 K)) 0) into (cos (* 0.5 K))
13.332 * [backup-simplify]: Simplify (* U U) into (pow U 2)
13.333 * [backup-simplify]: Simplify (* 1 1) into 1
13.333 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) (cos (* 0.5 K))) into (pow (cos (* 0.5 K)) 2)
13.333 * [backup-simplify]: Simplify (* 1 (pow (cos (* 0.5 K)) 2)) into (pow (cos (* 0.5 K)) 2)
13.333 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 0.5 K)) 2)) into (/ (pow U 2) (pow (cos (* 0.5 K)) 2))
13.333 * [taylor]: Taking taylor expansion of 1.0 in J
13.333 * [backup-simplify]: Simplify 1.0 into 1.0
13.334 * [backup-simplify]: Simplify (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2))) into (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2)))
13.334 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2))) 0) into (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2)))
13.334 * [backup-simplify]: Simplify (sqrt (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2)))) into (/ (* (sqrt 0.25) U) (cos (* 0.5 K)))
13.335 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
13.335 * [backup-simplify]: Simplify (+ 0) into 0
13.336 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (* 0 1)) into 0
13.336 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 K)) into 0
13.337 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.337 * [backup-simplify]: Simplify (+ (* (sin (* 0.5 K)) 0) (* 0 0)) into 0
13.338 * [backup-simplify]: Simplify (- 0) into 0
13.338 * [backup-simplify]: Simplify (+ 0 0) into 0
13.338 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (* 0 (cos (* 0.5 K)))) into 0
13.339 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.340 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (* 0.5 K)) 2))) into 0
13.340 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 0.5 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 0.5 K)) 2)) (/ 0 (pow (cos (* 0.5 K)) 2))))) into 0
13.341 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow U 2) (pow (cos (* 0.5 K)) 2)))) into 0
13.342 * [backup-simplify]: Simplify (+ 0 0) into 0
13.342 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2)))))) into 0
13.342 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0)) in K
13.342 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0) in K
13.342 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) in K
13.342 * [taylor]: Taking taylor expansion of 0.25 in K
13.342 * [backup-simplify]: Simplify 0.25 into 0.25
13.342 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2))) in K
13.342 * [taylor]: Taking taylor expansion of (pow U 2) in K
13.342 * [taylor]: Taking taylor expansion of U in K
13.342 * [backup-simplify]: Simplify U into U
13.342 * [taylor]: Taking taylor expansion of (* (pow J 2) (pow (cos (* 0.5 K)) 2)) in K
13.342 * [taylor]: Taking taylor expansion of (pow J 2) in K
13.342 * [taylor]: Taking taylor expansion of J in K
13.342 * [backup-simplify]: Simplify J into J
13.342 * [taylor]: Taking taylor expansion of (pow (cos (* 0.5 K)) 2) in K
13.342 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in K
13.342 * [taylor]: Taking taylor expansion of (* 0.5 K) in K
13.343 * [taylor]: Taking taylor expansion of 0.5 in K
13.343 * [backup-simplify]: Simplify 0.5 into 0.5
13.343 * [taylor]: Taking taylor expansion of K in K
13.343 * [backup-simplify]: Simplify 0 into 0
13.343 * [backup-simplify]: Simplify 1 into 1
13.343 * [backup-simplify]: Simplify (* 0.5 0) into 0
13.345 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5
13.345 * [backup-simplify]: Simplify (* U U) into (pow U 2)
13.345 * [backup-simplify]: Simplify (* J J) into (pow J 2)
13.345 * [backup-simplify]: Simplify (* 1 1) into 1
13.345 * [backup-simplify]: Simplify (* (pow J 2) 1) into (pow J 2)
13.346 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
13.346 * [taylor]: Taking taylor expansion of 1.0 in K
13.346 * [backup-simplify]: Simplify 1.0 into 1.0
13.346 * [backup-simplify]: Simplify (* 0.25 (/ (pow U 2) (pow J 2))) into (* 0.25 (/ (pow U 2) (pow J 2)))
13.347 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow U 2) (pow J 2))) 1.0) into (+ (* 0.25 (/ (pow U 2) (pow J 2))) 1.0)
13.347 * [backup-simplify]: Simplify (sqrt (+ (* 0.25 (/ (pow U 2) (pow J 2))) 1.0)) into (sqrt (+ (* 0.25 (/ (pow U 2) (pow J 2))) 1.0))
13.347 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
13.348 * [backup-simplify]: Simplify (+ 0) into 0
13.348 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.349 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
13.349 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (* 0 1)) into 0
13.350 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
13.350 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
13.351 * [backup-simplify]: Simplify (+ 0 0) into 0
13.351 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 0.25 (/ (pow U 2) (pow J 2))) 1.0)))) into 0
13.351 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0)) in U
13.351 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0) in U
13.351 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) in U
13.351 * [taylor]: Taking taylor expansion of 0.25 in U
13.351 * [backup-simplify]: Simplify 0.25 into 0.25
13.351 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2))) in U
13.352 * [taylor]: Taking taylor expansion of (pow U 2) in U
13.352 * [taylor]: Taking taylor expansion of U in U
13.352 * [backup-simplify]: Simplify 0 into 0
13.352 * [backup-simplify]: Simplify 1 into 1
13.352 * [taylor]: Taking taylor expansion of (* (pow J 2) (pow (cos (* 0.5 K)) 2)) in U
13.352 * [taylor]: Taking taylor expansion of (pow J 2) in U
13.352 * [taylor]: Taking taylor expansion of J in U
13.352 * [backup-simplify]: Simplify J into J
13.352 * [taylor]: Taking taylor expansion of (pow (cos (* 0.5 K)) 2) in U
13.352 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in U
13.352 * [taylor]: Taking taylor expansion of (* 0.5 K) in U
13.352 * [taylor]: Taking taylor expansion of 0.5 in U
13.352 * [backup-simplify]: Simplify 0.5 into 0.5
13.352 * [taylor]: Taking taylor expansion of K in U
13.352 * [backup-simplify]: Simplify K into K
13.352 * [backup-simplify]: Simplify (* 0.5 K) into (* 0.5 K)
13.352 * [backup-simplify]: Simplify (cos (* 0.5 K)) into (cos (* 0.5 K))
13.352 * [backup-simplify]: Simplify (sin (* 0.5 K)) into (sin (* 0.5 K))
13.352 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) 1) into (cos (* 0.5 K))
13.352 * [backup-simplify]: Simplify (* (sin (* 0.5 K)) 0) into 0
13.353 * [backup-simplify]: Simplify (- 0) into 0
13.353 * [backup-simplify]: Simplify (+ (cos (* 0.5 K)) 0) into (cos (* 0.5 K))
13.353 * [backup-simplify]: Simplify (* 1 1) into 1
13.353 * [backup-simplify]: Simplify (* J J) into (pow J 2)
13.354 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) (cos (* 0.5 K))) into (pow (cos (* 0.5 K)) 2)
13.354 * [backup-simplify]: Simplify (* (pow J 2) (pow (cos (* 0.5 K)) 2)) into (* (pow J 2) (pow (cos (* 0.5 K)) 2))
13.354 * [backup-simplify]: Simplify (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2))) into (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2)))
13.354 * [taylor]: Taking taylor expansion of 1.0 in U
13.354 * [backup-simplify]: Simplify 1.0 into 1.0
13.355 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
13.355 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
13.356 * [backup-simplify]: Simplify (+ 0 0) into 0
13.356 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
13.356 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0)) in U
13.356 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0) in U
13.357 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) in U
13.357 * [taylor]: Taking taylor expansion of 0.25 in U
13.357 * [backup-simplify]: Simplify 0.25 into 0.25
13.357 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2))) in U
13.357 * [taylor]: Taking taylor expansion of (pow U 2) in U
13.357 * [taylor]: Taking taylor expansion of U in U
13.357 * [backup-simplify]: Simplify 0 into 0
13.357 * [backup-simplify]: Simplify 1 into 1
13.357 * [taylor]: Taking taylor expansion of (* (pow J 2) (pow (cos (* 0.5 K)) 2)) in U
13.357 * [taylor]: Taking taylor expansion of (pow J 2) in U
13.357 * [taylor]: Taking taylor expansion of J in U
13.357 * [backup-simplify]: Simplify J into J
13.357 * [taylor]: Taking taylor expansion of (pow (cos (* 0.5 K)) 2) in U
13.357 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in U
13.357 * [taylor]: Taking taylor expansion of (* 0.5 K) in U
13.357 * [taylor]: Taking taylor expansion of 0.5 in U
13.357 * [backup-simplify]: Simplify 0.5 into 0.5
13.357 * [taylor]: Taking taylor expansion of K in U
13.357 * [backup-simplify]: Simplify K into K
13.357 * [backup-simplify]: Simplify (* 0.5 K) into (* 0.5 K)
13.357 * [backup-simplify]: Simplify (cos (* 0.5 K)) into (cos (* 0.5 K))
13.357 * [backup-simplify]: Simplify (sin (* 0.5 K)) into (sin (* 0.5 K))
13.357 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) 1) into (cos (* 0.5 K))
13.358 * [backup-simplify]: Simplify (* (sin (* 0.5 K)) 0) into 0
13.358 * [backup-simplify]: Simplify (- 0) into 0
13.358 * [backup-simplify]: Simplify (+ (cos (* 0.5 K)) 0) into (cos (* 0.5 K))
13.359 * [backup-simplify]: Simplify (* 1 1) into 1
13.359 * [backup-simplify]: Simplify (* J J) into (pow J 2)
13.359 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) (cos (* 0.5 K))) into (pow (cos (* 0.5 K)) 2)
13.359 * [backup-simplify]: Simplify (* (pow J 2) (pow (cos (* 0.5 K)) 2)) into (* (pow J 2) (pow (cos (* 0.5 K)) 2))
13.359 * [backup-simplify]: Simplify (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2))) into (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2)))
13.359 * [taylor]: Taking taylor expansion of 1.0 in U
13.359 * [backup-simplify]: Simplify 1.0 into 1.0
13.360 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
13.360 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
13.361 * [backup-simplify]: Simplify (+ 0 0) into 0
13.362 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
13.362 * [taylor]: Taking taylor expansion of (sqrt 1.0) in K
13.362 * [taylor]: Taking taylor expansion of 1.0 in K
13.362 * [backup-simplify]: Simplify 1.0 into 1.0
13.362 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
13.363 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
13.363 * [taylor]: Taking taylor expansion of (sqrt 1.0) in J
13.363 * [taylor]: Taking taylor expansion of 1.0 in J
13.363 * [backup-simplify]: Simplify 1.0 into 1.0
13.363 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
13.364 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
13.364 * [taylor]: Taking taylor expansion of 0 in K
13.364 * [backup-simplify]: Simplify 0 into 0
13.364 * [taylor]: Taking taylor expansion of 0 in J
13.364 * [backup-simplify]: Simplify 0 into 0
13.364 * [taylor]: Taking taylor expansion of 0 in J
13.364 * [backup-simplify]: Simplify 0 into 0
13.365 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
13.365 * [backup-simplify]: Simplify (* 0.25 (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) into (/ 0.25 (* (pow J 2) (pow (cos (* 0.5 K)) 2)))
13.366 * [backup-simplify]: Simplify (+ (/ 0.25 (* (pow J 2) (pow (cos (* 0.5 K)) 2))) 0) into (* 0.25 (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2))))
13.368 * [backup-simplify]: Simplify (/ (- (* 0.25 (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ 0.125 (* (sqrt 1.0) (* (pow J 2) (pow (cos (* 0.5 K)) 2))))
13.368 * [taylor]: Taking taylor expansion of (/ 0.125 (* (sqrt 1.0) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) in K
13.368 * [taylor]: Taking taylor expansion of 0.125 in K
13.368 * [backup-simplify]: Simplify 0.125 into 0.125
13.368 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (* (pow J 2) (pow (cos (* 0.5 K)) 2))) in K
13.368 * [taylor]: Taking taylor expansion of (sqrt 1.0) in K
13.368 * [taylor]: Taking taylor expansion of 1.0 in K
13.368 * [backup-simplify]: Simplify 1.0 into 1.0
13.369 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
13.369 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
13.369 * [taylor]: Taking taylor expansion of (* (pow J 2) (pow (cos (* 0.5 K)) 2)) in K
13.369 * [taylor]: Taking taylor expansion of (pow J 2) in K
13.369 * [taylor]: Taking taylor expansion of J in K
13.369 * [backup-simplify]: Simplify J into J
13.370 * [taylor]: Taking taylor expansion of (pow (cos (* 0.5 K)) 2) in K
13.370 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in K
13.370 * [taylor]: Taking taylor expansion of (* 0.5 K) in K
13.370 * [taylor]: Taking taylor expansion of 0.5 in K
13.370 * [backup-simplify]: Simplify 0.5 into 0.5
13.370 * [taylor]: Taking taylor expansion of K in K
13.370 * [backup-simplify]: Simplify 0 into 0
13.370 * [backup-simplify]: Simplify 1 into 1
13.370 * [backup-simplify]: Simplify (* 0.5 0) into 0
13.372 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5
13.372 * [backup-simplify]: Simplify (* J J) into (pow J 2)
13.372 * [backup-simplify]: Simplify (* 1 1) into 1
13.372 * [backup-simplify]: Simplify (* (pow J 2) 1) into (pow J 2)
13.373 * [backup-simplify]: Simplify (* (sqrt 1.0) (pow J 2)) into (* (sqrt 1.0) (pow J 2))
13.374 * [backup-simplify]: Simplify (/ 0.125 (* (sqrt 1.0) (pow J 2))) into (/ 0.125 (* (sqrt 1.0) (pow J 2)))
13.374 * [taylor]: Taking taylor expansion of (/ 0.125 (* (sqrt 1.0) (pow J 2))) in J
13.374 * [taylor]: Taking taylor expansion of 0.125 in J
13.374 * [backup-simplify]: Simplify 0.125 into 0.125
13.374 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (pow J 2)) in J
13.374 * [taylor]: Taking taylor expansion of (sqrt 1.0) in J
13.374 * [taylor]: Taking taylor expansion of 1.0 in J
13.374 * [backup-simplify]: Simplify 1.0 into 1.0
13.374 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
13.375 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
13.375 * [taylor]: Taking taylor expansion of (pow J 2) in J
13.375 * [taylor]: Taking taylor expansion of J in J
13.375 * [backup-simplify]: Simplify 0 into 0
13.375 * [backup-simplify]: Simplify 1 into 1
13.375 * [backup-simplify]: Simplify (* 1 1) into 1
13.376 * [backup-simplify]: Simplify (* (sqrt 1.0) 1) into (sqrt 1.0)
13.377 * [backup-simplify]: Simplify (/ 0.125 (sqrt 1.0)) into (/ 0.125 (sqrt 1.0))
13.378 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.378 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 1)) into 0
13.379 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ 0.125 (sqrt 1.0)) (/ 0 (sqrt 1.0))))) into 0
13.380 * [backup-simplify]: Simplify 0 into 0
13.380 * [taylor]: Taking taylor expansion of 0 in J
13.380 * [backup-simplify]: Simplify 0 into 0
13.381 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
13.381 * [taylor]: Taking taylor expansion of 0 in J
13.381 * [backup-simplify]: Simplify 0 into 0
13.381 * [backup-simplify]: Simplify 0 into 0
13.381 * [backup-simplify]: Simplify 0 into 0
13.381 * [backup-simplify]: Simplify 0 into 0
13.381 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.382 * [backup-simplify]: Simplify (+ 0) into 0
13.382 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (* 0 1)) into 0
13.383 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 K)) into 0
13.384 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.384 * [backup-simplify]: Simplify (+ (* (sin (* 0.5 K)) 0) (* 0 0)) into 0
13.384 * [backup-simplify]: Simplify (- 0) into 0
13.385 * [backup-simplify]: Simplify (+ 0 0) into 0
13.385 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (* 0 (cos (* 0.5 K)))) into 0
13.385 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
13.386 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (* 0 (pow (cos (* 0.5 K)) 2))) into 0
13.387 * [backup-simplify]: Simplify (- (/ 0 (* (pow J 2) (pow (cos (* 0.5 K)) 2))) (+ (* (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2))) (/ 0 (* (pow J 2) (pow (cos (* 0.5 K)) 2)))))) into 0
13.387 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2))))) into 0
13.388 * [backup-simplify]: Simplify (+ 0 0) into 0
13.390 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.125 (* (sqrt 1.0) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))))))) (* 2 (sqrt 1.0))) into 0
13.390 * [taylor]: Taking taylor expansion of 0 in K
13.390 * [backup-simplify]: Simplify 0 into 0
13.390 * [taylor]: Taking taylor expansion of 0 in J
13.390 * [backup-simplify]: Simplify 0 into 0
13.390 * [backup-simplify]: Simplify (+ 0) into 0
13.391 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.391 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
13.392 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (* 0 1)) into 0
13.392 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (pow J 2))) into 0
13.394 * [backup-simplify]: Simplify (- (/ 0 (* (sqrt 1.0) (pow J 2))) (+ (* (/ 0.125 (* (sqrt 1.0) (pow J 2))) (/ 0 (* (sqrt 1.0) (pow J 2)))))) into 0
13.394 * [taylor]: Taking taylor expansion of 0 in J
13.394 * [backup-simplify]: Simplify 0 into 0
13.394 * [taylor]: Taking taylor expansion of 0 in J
13.394 * [backup-simplify]: Simplify 0 into 0
13.396 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0
13.396 * [taylor]: Taking taylor expansion of 0 in J
13.396 * [backup-simplify]: Simplify 0 into 0
13.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.398 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
13.400 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* 0 1))) into 0
13.401 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ 0.125 (sqrt 1.0)) (/ 0 (sqrt 1.0))) (* 0 (/ 0 (sqrt 1.0))))) into 0
13.401 * [backup-simplify]: Simplify 0 into 0
13.401 * [backup-simplify]: Simplify 0 into 0
13.402 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
13.402 * [backup-simplify]: Simplify (sqrt (+ 1.0 (pow (/ (/ 1 U) (* (cos (/ (/ 1 K) 2.0)) (* 2.0 (/ 1 J)))) 2.0))) into (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0))
13.402 * [approximate]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) in (U K J) around 0
13.402 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) in J
13.403 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0) in J
13.403 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) in J
13.403 * [taylor]: Taking taylor expansion of 0.25 in J
13.403 * [backup-simplify]: Simplify 0.25 into 0.25
13.403 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))) in J
13.403 * [taylor]: Taking taylor expansion of (pow J 2) in J
13.403 * [taylor]: Taking taylor expansion of J in J
13.403 * [backup-simplify]: Simplify 0 into 0
13.403 * [backup-simplify]: Simplify 1 into 1
13.403 * [taylor]: Taking taylor expansion of (* (pow (cos (/ 0.5 K)) 2) (pow U 2)) in J
13.403 * [taylor]: Taking taylor expansion of (pow (cos (/ 0.5 K)) 2) in J
13.403 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in J
13.403 * [taylor]: Taking taylor expansion of (/ 0.5 K) in J
13.403 * [taylor]: Taking taylor expansion of 0.5 in J
13.403 * [backup-simplify]: Simplify 0.5 into 0.5
13.403 * [taylor]: Taking taylor expansion of K in J
13.403 * [backup-simplify]: Simplify K into K
13.403 * [backup-simplify]: Simplify (/ 0.5 K) into (/ 0.5 K)
13.403 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
13.403 * [backup-simplify]: Simplify (sin (/ 0.5 K)) into (sin (/ 0.5 K))
13.403 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
13.404 * [backup-simplify]: Simplify (* (sin (/ 0.5 K)) 0) into 0
13.404 * [backup-simplify]: Simplify (- 0) into 0
13.404 * [backup-simplify]: Simplify (+ (cos (/ 0.5 K)) 0) into (cos (/ 0.5 K))
13.404 * [taylor]: Taking taylor expansion of (pow U 2) in J
13.404 * [taylor]: Taking taylor expansion of U in J
13.404 * [backup-simplify]: Simplify U into U
13.405 * [backup-simplify]: Simplify (* 1 1) into 1
13.405 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) (cos (/ 0.5 K))) into (pow (cos (/ 0.5 K)) 2)
13.405 * [backup-simplify]: Simplify (* U U) into (pow U 2)
13.405 * [backup-simplify]: Simplify (* (pow (cos (/ 0.5 K)) 2) (pow U 2)) into (* (pow U 2) (pow (cos (/ 0.5 K)) 2))
13.405 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 0.5 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 0.5 K)) 2)))
13.405 * [taylor]: Taking taylor expansion of 1.0 in J
13.405 * [backup-simplify]: Simplify 1.0 into 1.0
13.406 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
13.406 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
13.407 * [backup-simplify]: Simplify (+ 0 0) into 0
13.407 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
13.407 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) in K
13.408 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0) in K
13.408 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) in K
13.408 * [taylor]: Taking taylor expansion of 0.25 in K
13.408 * [backup-simplify]: Simplify 0.25 into 0.25
13.408 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))) in K
13.408 * [taylor]: Taking taylor expansion of (pow J 2) in K
13.408 * [taylor]: Taking taylor expansion of J in K
13.408 * [backup-simplify]: Simplify J into J
13.408 * [taylor]: Taking taylor expansion of (* (pow (cos (/ 0.5 K)) 2) (pow U 2)) in K
13.408 * [taylor]: Taking taylor expansion of (pow (cos (/ 0.5 K)) 2) in K
13.408 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in K
13.408 * [taylor]: Taking taylor expansion of (/ 0.5 K) in K
13.408 * [taylor]: Taking taylor expansion of 0.5 in K
13.408 * [backup-simplify]: Simplify 0.5 into 0.5
13.408 * [taylor]: Taking taylor expansion of K in K
13.408 * [backup-simplify]: Simplify 0 into 0
13.408 * [backup-simplify]: Simplify 1 into 1
13.408 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5
13.409 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
13.409 * [taylor]: Taking taylor expansion of (pow U 2) in K
13.409 * [taylor]: Taking taylor expansion of U in K
13.409 * [backup-simplify]: Simplify U into U
13.409 * [backup-simplify]: Simplify (* J J) into (pow J 2)
13.409 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) (cos (/ 0.5 K))) into (pow (cos (/ 0.5 K)) 2)
13.409 * [backup-simplify]: Simplify (* U U) into (pow U 2)
13.409 * [backup-simplify]: Simplify (* (pow (cos (/ 0.5 K)) 2) (pow U 2)) into (* (pow U 2) (pow (cos (/ 0.5 K)) 2))
13.410 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 0.5 K)) 2))) into (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))
13.410 * [taylor]: Taking taylor expansion of 1.0 in K
13.410 * [backup-simplify]: Simplify 1.0 into 1.0
13.410 * [backup-simplify]: Simplify (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) into (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))))
13.411 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0) into (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)
13.411 * [backup-simplify]: Simplify (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) into (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0))
13.411 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
13.412 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
13.412 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 (cos (/ 0.5 K)))) into 0
13.412 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 0.5 K)) 2) 0) (* 0 (pow U 2))) into 0
13.413 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 0.5 K)) 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))) (/ 0 (* (pow U 2) (pow (cos (/ 0.5 K)) 2)))))) into 0
13.414 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))))) into 0
13.414 * [backup-simplify]: Simplify (+ 0 0) into 0
13.415 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)))) into 0
13.415 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) in U
13.415 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0) in U
13.415 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) in U
13.415 * [taylor]: Taking taylor expansion of 0.25 in U
13.415 * [backup-simplify]: Simplify 0.25 into 0.25
13.415 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))) in U
13.415 * [taylor]: Taking taylor expansion of (pow J 2) in U
13.415 * [taylor]: Taking taylor expansion of J in U
13.415 * [backup-simplify]: Simplify J into J
13.415 * [taylor]: Taking taylor expansion of (* (pow (cos (/ 0.5 K)) 2) (pow U 2)) in U
13.416 * [taylor]: Taking taylor expansion of (pow (cos (/ 0.5 K)) 2) in U
13.416 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in U
13.416 * [taylor]: Taking taylor expansion of (/ 0.5 K) in U
13.416 * [taylor]: Taking taylor expansion of 0.5 in U
13.416 * [backup-simplify]: Simplify 0.5 into 0.5
13.416 * [taylor]: Taking taylor expansion of K in U
13.416 * [backup-simplify]: Simplify K into K
13.416 * [backup-simplify]: Simplify (/ 0.5 K) into (/ 0.5 K)
13.416 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
13.416 * [backup-simplify]: Simplify (sin (/ 0.5 K)) into (sin (/ 0.5 K))
13.416 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
13.416 * [backup-simplify]: Simplify (* (sin (/ 0.5 K)) 0) into 0
13.417 * [backup-simplify]: Simplify (- 0) into 0
13.417 * [backup-simplify]: Simplify (+ (cos (/ 0.5 K)) 0) into (cos (/ 0.5 K))
13.417 * [taylor]: Taking taylor expansion of (pow U 2) in U
13.417 * [taylor]: Taking taylor expansion of U in U
13.417 * [backup-simplify]: Simplify 0 into 0
13.417 * [backup-simplify]: Simplify 1 into 1
13.417 * [backup-simplify]: Simplify (* J J) into (pow J 2)
13.417 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) (cos (/ 0.5 K))) into (pow (cos (/ 0.5 K)) 2)
13.417 * [backup-simplify]: Simplify (* 1 1) into 1
13.418 * [backup-simplify]: Simplify (* (pow (cos (/ 0.5 K)) 2) 1) into (pow (cos (/ 0.5 K)) 2)
13.418 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)) into (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))
13.418 * [taylor]: Taking taylor expansion of 1.0 in U
13.418 * [backup-simplify]: Simplify 1.0 into 1.0
13.418 * [backup-simplify]: Simplify (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))) into (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))
13.419 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))) 0) into (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))
13.419 * [backup-simplify]: Simplify (sqrt (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) into (/ (* (sqrt 0.25) J) (cos (/ 0.5 K)))
13.419 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
13.420 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.420 * [backup-simplify]: Simplify (+ 0) into 0
13.421 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 1)) into 0
13.421 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)))) into 0
13.422 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.422 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (* 0 0)) into 0
13.423 * [backup-simplify]: Simplify (- 0) into 0
13.423 * [backup-simplify]: Simplify (+ 0 0) into 0
13.423 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 (cos (/ 0.5 K)))) into 0
13.424 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 0.5 K)) 2) 0) (* 0 1)) into 0
13.425 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 0.5 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)) (/ 0 (pow (cos (/ 0.5 K)) 2))))) into 0
13.426 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) into 0
13.426 * [backup-simplify]: Simplify (+ 0 0) into 0
13.426 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))))) into 0
13.426 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) in U
13.427 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0) in U
13.427 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) in U
13.427 * [taylor]: Taking taylor expansion of 0.25 in U
13.427 * [backup-simplify]: Simplify 0.25 into 0.25
13.427 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))) in U
13.427 * [taylor]: Taking taylor expansion of (pow J 2) in U
13.427 * [taylor]: Taking taylor expansion of J in U
13.427 * [backup-simplify]: Simplify J into J
13.427 * [taylor]: Taking taylor expansion of (* (pow (cos (/ 0.5 K)) 2) (pow U 2)) in U
13.427 * [taylor]: Taking taylor expansion of (pow (cos (/ 0.5 K)) 2) in U
13.427 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in U
13.427 * [taylor]: Taking taylor expansion of (/ 0.5 K) in U
13.427 * [taylor]: Taking taylor expansion of 0.5 in U
13.427 * [backup-simplify]: Simplify 0.5 into 0.5
13.427 * [taylor]: Taking taylor expansion of K in U
13.427 * [backup-simplify]: Simplify K into K
13.427 * [backup-simplify]: Simplify (/ 0.5 K) into (/ 0.5 K)
13.427 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
13.427 * [backup-simplify]: Simplify (sin (/ 0.5 K)) into (sin (/ 0.5 K))
13.427 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
13.427 * [backup-simplify]: Simplify (* (sin (/ 0.5 K)) 0) into 0
13.428 * [backup-simplify]: Simplify (- 0) into 0
13.428 * [backup-simplify]: Simplify (+ (cos (/ 0.5 K)) 0) into (cos (/ 0.5 K))
13.428 * [taylor]: Taking taylor expansion of (pow U 2) in U
13.428 * [taylor]: Taking taylor expansion of U in U
13.428 * [backup-simplify]: Simplify 0 into 0
13.428 * [backup-simplify]: Simplify 1 into 1
13.428 * [backup-simplify]: Simplify (* J J) into (pow J 2)
13.428 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) (cos (/ 0.5 K))) into (pow (cos (/ 0.5 K)) 2)
13.429 * [backup-simplify]: Simplify (* 1 1) into 1
13.429 * [backup-simplify]: Simplify (* (pow (cos (/ 0.5 K)) 2) 1) into (pow (cos (/ 0.5 K)) 2)
13.429 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)) into (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))
13.429 * [taylor]: Taking taylor expansion of 1.0 in U
13.429 * [backup-simplify]: Simplify 1.0 into 1.0
13.430 * [backup-simplify]: Simplify (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))) into (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))
13.430 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))) 0) into (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))
13.431 * [backup-simplify]: Simplify (sqrt (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) into (/ (* (sqrt 0.25) J) (cos (/ 0.5 K)))
13.431 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
13.432 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.432 * [backup-simplify]: Simplify (+ 0) into 0
13.433 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 1)) into 0
13.433 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)))) into 0
13.434 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.434 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (* 0 0)) into 0
13.434 * [backup-simplify]: Simplify (- 0) into 0
13.435 * [backup-simplify]: Simplify (+ 0 0) into 0
13.435 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 (cos (/ 0.5 K)))) into 0
13.436 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 0.5 K)) 2) 0) (* 0 1)) into 0
13.436 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 0.5 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)) (/ 0 (pow (cos (/ 0.5 K)) 2))))) into 0
13.437 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) into 0
13.438 * [backup-simplify]: Simplify (+ 0 0) into 0
13.438 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))))) into 0
13.438 * [taylor]: Taking taylor expansion of (/ (* (sqrt 0.25) J) (cos (/ 0.5 K))) in K
13.438 * [taylor]: Taking taylor expansion of (* (sqrt 0.25) J) in K
13.438 * [taylor]: Taking taylor expansion of (sqrt 0.25) in K
13.438 * [taylor]: Taking taylor expansion of 0.25 in K
13.438 * [backup-simplify]: Simplify 0.25 into 0.25
13.439 * [backup-simplify]: Simplify (sqrt 0.25) into (sqrt 0.25)
13.439 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.25))) into 0
13.439 * [taylor]: Taking taylor expansion of J in K
13.440 * [backup-simplify]: Simplify J into J
13.440 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in K
13.440 * [taylor]: Taking taylor expansion of (/ 0.5 K) in K
13.440 * [taylor]: Taking taylor expansion of 0.5 in K
13.440 * [backup-simplify]: Simplify 0.5 into 0.5
13.440 * [taylor]: Taking taylor expansion of K in K
13.440 * [backup-simplify]: Simplify 0 into 0
13.440 * [backup-simplify]: Simplify 1 into 1
13.440 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5
13.440 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
13.441 * [backup-simplify]: Simplify (* (sqrt 0.25) J) into (* (sqrt 0.25) J)
13.441 * [backup-simplify]: Simplify (/ (* (sqrt 0.25) J) (cos (/ 0.5 K))) into (/ (* (sqrt 0.25) J) (cos (/ 0.5 K)))
13.441 * [taylor]: Taking taylor expansion of (/ (* (sqrt 0.25) J) (cos (/ 0.5 K))) in J
13.441 * [taylor]: Taking taylor expansion of (* (sqrt 0.25) J) in J
13.441 * [taylor]: Taking taylor expansion of (sqrt 0.25) in J
13.441 * [taylor]: Taking taylor expansion of 0.25 in J
13.441 * [backup-simplify]: Simplify 0.25 into 0.25
13.442 * [backup-simplify]: Simplify (sqrt 0.25) into (sqrt 0.25)
13.443 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.25))) into 0
13.443 * [taylor]: Taking taylor expansion of J in J
13.443 * [backup-simplify]: Simplify 0 into 0
13.443 * [backup-simplify]: Simplify 1 into 1
13.443 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in J
13.443 * [taylor]: Taking taylor expansion of (/ 0.5 K) in J
13.443 * [taylor]: Taking taylor expansion of 0.5 in J
13.443 * [backup-simplify]: Simplify 0.5 into 0.5
13.443 * [taylor]: Taking taylor expansion of K in J
13.443 * [backup-simplify]: Simplify K into K
13.443 * [backup-simplify]: Simplify (/ 0.5 K) into (/ 0.5 K)
13.443 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
13.443 * [backup-simplify]: Simplify (sin (/ 0.5 K)) into (sin (/ 0.5 K))
13.444 * [backup-simplify]: Simplify (* (sqrt 0.25) 0) into 0
13.446 * [backup-simplify]: Simplify (+ (* (sqrt 0.25) 1) (* 0 0)) into (sqrt 0.25)
13.446 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
13.446 * [backup-simplify]: Simplify (* (sin (/ 0.5 K)) 0) into 0
13.446 * [backup-simplify]: Simplify (- 0) into 0
13.447 * [backup-simplify]: Simplify (+ (cos (/ 0.5 K)) 0) into (cos (/ 0.5 K))
13.447 * [backup-simplify]: Simplify (/ (sqrt 0.25) (cos (/ 0.5 K))) into (/ (sqrt 0.25) (cos (/ 0.5 K)))
13.447 * [taylor]: Taking taylor expansion of 0 in K
13.447 * [backup-simplify]: Simplify 0 into 0
13.447 * [taylor]: Taking taylor expansion of 0 in J
13.447 * [backup-simplify]: Simplify 0 into 0
13.447 * [backup-simplify]: Simplify 0 into 0
13.448 * [backup-simplify]: Simplify (+ (* (sqrt 0.25) 0) (* 0 J)) into 0
13.449 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 0.5 K))) (+ (* (/ (* (sqrt 0.25) J) (cos (/ 0.5 K))) (/ 0 (cos (/ 0.5 K)))))) into 0
13.449 * [taylor]: Taking taylor expansion of 0 in J
13.449 * [backup-simplify]: Simplify 0 into 0
13.449 * [backup-simplify]: Simplify 0 into 0
13.449 * [backup-simplify]: Simplify (/ (sqrt 0.25) (cos (/ 0.5 K))) into (/ (sqrt 0.25) (cos (/ 0.5 K)))
13.450 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
13.451 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.451 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
13.452 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (+ (* 0 0) (* 0 1))) into 0
13.453 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
13.453 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
13.454 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (+ (* 0 0) (* 0 0))) into 0
13.454 * [backup-simplify]: Simplify (- 0) into 0
13.455 * [backup-simplify]: Simplify (+ 0 0) into 0
13.455 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (+ (* 0 0) (* 0 (cos (/ 0.5 K))))) into 0
13.456 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 0.5 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
13.457 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 0.5 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)) (/ 0 (pow (cos (/ 0.5 K)) 2))) (* 0 (/ 0 (pow (cos (/ 0.5 K)) 2))))) into 0
13.459 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))))) into 0
13.459 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
13.461 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (/ (* (sqrt 0.25) J) (cos (/ 0.5 K))))) into (* 0.5 (/ (cos (/ 0.5 K)) (* (sqrt 0.25) J)))
13.461 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 0.5 K)) (* (sqrt 0.25) J))) in K
13.461 * [taylor]: Taking taylor expansion of 0.5 in K
13.461 * [backup-simplify]: Simplify 0.5 into 0.5
13.461 * [taylor]: Taking taylor expansion of (/ (cos (/ 0.5 K)) (* (sqrt 0.25) J)) in K
13.461 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in K
13.461 * [taylor]: Taking taylor expansion of (/ 0.5 K) in K
13.462 * [taylor]: Taking taylor expansion of 0.5 in K
13.462 * [backup-simplify]: Simplify 0.5 into 0.5
13.462 * [taylor]: Taking taylor expansion of K in K
13.462 * [backup-simplify]: Simplify 0 into 0
13.462 * [backup-simplify]: Simplify 1 into 1
13.462 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5
13.462 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
13.462 * [taylor]: Taking taylor expansion of (* (sqrt 0.25) J) in K
13.462 * [taylor]: Taking taylor expansion of (sqrt 0.25) in K
13.462 * [taylor]: Taking taylor expansion of 0.25 in K
13.462 * [backup-simplify]: Simplify 0.25 into 0.25
13.463 * [backup-simplify]: Simplify (sqrt 0.25) into (sqrt 0.25)
13.464 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.25))) into 0
13.464 * [taylor]: Taking taylor expansion of J in K
13.464 * [backup-simplify]: Simplify J into J
13.464 * [backup-simplify]: Simplify (* (sqrt 0.25) J) into (* (sqrt 0.25) J)
13.465 * [backup-simplify]: Simplify (/ (cos (/ 0.5 K)) (* (sqrt 0.25) J)) into (/ (cos (/ 0.5 K)) (* (sqrt 0.25) J))
13.465 * [backup-simplify]: Simplify (* 0.5 (/ (cos (/ 0.5 K)) (* (sqrt 0.25) J))) into (* 0.5 (/ (cos (/ 0.5 K)) (* (sqrt 0.25) J)))
13.465 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 0.5 K)) (* (sqrt 0.25) J))) in J
13.465 * [taylor]: Taking taylor expansion of 0.5 in J
13.465 * [backup-simplify]: Simplify 0.5 into 0.5
13.465 * [taylor]: Taking taylor expansion of (/ (cos (/ 0.5 K)) (* (sqrt 0.25) J)) in J
13.465 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in J
13.465 * [taylor]: Taking taylor expansion of (/ 0.5 K) in J
13.465 * [taylor]: Taking taylor expansion of 0.5 in J
13.465 * [backup-simplify]: Simplify 0.5 into 0.5
13.465 * [taylor]: Taking taylor expansion of K in J
13.465 * [backup-simplify]: Simplify K into K
13.466 * [backup-simplify]: Simplify (/ 0.5 K) into (/ 0.5 K)
13.466 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
13.466 * [backup-simplify]: Simplify (sin (/ 0.5 K)) into (sin (/ 0.5 K))
13.466 * [taylor]: Taking taylor expansion of (* (sqrt 0.25) J) in J
13.466 * [taylor]: Taking taylor expansion of (sqrt 0.25) in J
13.466 * [taylor]: Taking taylor expansion of 0.25 in J
13.466 * [backup-simplify]: Simplify 0.25 into 0.25
13.466 * [backup-simplify]: Simplify (sqrt 0.25) into (sqrt 0.25)
13.467 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.25))) into 0
13.467 * [taylor]: Taking taylor expansion of J in J
13.467 * [backup-simplify]: Simplify 0 into 0
13.467 * [backup-simplify]: Simplify 1 into 1
13.468 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
13.468 * [backup-simplify]: Simplify (* (sin (/ 0.5 K)) 0) into 0
13.468 * [backup-simplify]: Simplify (- 0) into 0
13.468 * [backup-simplify]: Simplify (+ (cos (/ 0.5 K)) 0) into (cos (/ 0.5 K))
13.468 * [backup-simplify]: Simplify (* (sqrt 0.25) 0) into 0
13.470 * [backup-simplify]: Simplify (+ (* (sqrt 0.25) 1) (* 0 0)) into (sqrt 0.25)
13.470 * [backup-simplify]: Simplify (/ (cos (/ 0.5 K)) (sqrt 0.25)) into (/ (cos (/ 0.5 K)) (sqrt 0.25))
13.470 * [backup-simplify]: Simplify (+ 0) into 0
13.471 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 1)) into 0
13.471 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)))) into 0
13.471 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.471 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (* 0 0)) into 0
13.472 * [backup-simplify]: Simplify (- 0) into 0
13.472 * [backup-simplify]: Simplify (+ 0 0) into 0
13.473 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.25))) into 0
13.473 * [backup-simplify]: Simplify (+ (* (sqrt 0.25) 0) (+ (* 0 1) (* 0 0))) into 0
13.474 * [backup-simplify]: Simplify (- (/ 0 (sqrt 0.25)) (+ (* (/ (cos (/ 0.5 K)) (sqrt 0.25)) (/ 0 (sqrt 0.25))))) into 0
13.475 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ (cos (/ 0.5 K)) (sqrt 0.25)))) into 0
13.475 * [backup-simplify]: Simplify 0 into 0
13.475 * [taylor]: Taking taylor expansion of 0 in J
13.475 * [backup-simplify]: Simplify 0 into 0
13.475 * [backup-simplify]: Simplify 0 into 0
13.475 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.25))) into 0
13.476 * [backup-simplify]: Simplify (+ (* (sqrt 0.25) 0) (+ (* 0 0) (* 0 J))) into 0
13.477 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 0.5 K))) (+ (* (/ (* (sqrt 0.25) J) (cos (/ 0.5 K))) (/ 0 (cos (/ 0.5 K)))) (* 0 (/ 0 (cos (/ 0.5 K)))))) into 0
13.477 * [taylor]: Taking taylor expansion of 0 in J
13.477 * [backup-simplify]: Simplify 0 into 0
13.477 * [backup-simplify]: Simplify 0 into 0
13.477 * [backup-simplify]: Simplify 0 into 0
13.477 * [backup-simplify]: Simplify 0 into 0
13.477 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.25))) into 0
13.478 * [backup-simplify]: Simplify (+ (* (sqrt 0.25) 0) (+ (* 0 1) (* 0 0))) into 0
13.478 * [backup-simplify]: Simplify (+ 0) into 0
13.479 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 1)) into 0
13.479 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)))) into 0
13.479 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.479 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (* 0 0)) into 0
13.480 * [backup-simplify]: Simplify (- 0) into 0
13.480 * [backup-simplify]: Simplify (+ 0 0) into 0
13.480 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 0.5 K))) (+ (* (/ (sqrt 0.25) (cos (/ 0.5 K))) (/ 0 (cos (/ 0.5 K)))))) into 0
13.480 * [backup-simplify]: Simplify 0 into 0
13.481 * [backup-simplify]: Simplify (* (/ (sqrt 0.25) (cos (/ 0.5 (/ 1 K)))) (* (/ 1 J) (* 1 (/ 1 (/ 1 U))))) into (/ (* (sqrt 0.25) U) (* (cos (* 0.5 K)) J))
13.481 * [backup-simplify]: Simplify (sqrt (+ 1.0 (pow (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2.0)) (* 2.0 (/ 1 (- J))))) 2.0))) into (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0))
13.481 * [approximate]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)) in (U K J) around 0
13.481 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)) in J
13.481 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0) in J
13.481 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) in J
13.481 * [taylor]: Taking taylor expansion of 0.25 in J
13.481 * [backup-simplify]: Simplify 0.25 into 0.25
13.481 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 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 (/ -0.5 K)) 2) (pow U 2)) in J
13.481 * [taylor]: Taking taylor expansion of (pow (cos (/ -0.5 K)) 2) in J
13.481 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in J
13.481 * [taylor]: Taking taylor expansion of (/ -0.5 K) in J
13.481 * [taylor]: Taking taylor expansion of -0.5 in J
13.481 * [backup-simplify]: Simplify -0.5 into -0.5
13.482 * [taylor]: Taking taylor expansion of K in J
13.482 * [backup-simplify]: Simplify K into K
13.482 * [backup-simplify]: Simplify (/ -0.5 K) into (/ -0.5 K)
13.482 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
13.482 * [backup-simplify]: Simplify (sin (/ -0.5 K)) into (sin (/ -0.5 K))
13.482 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
13.482 * [backup-simplify]: Simplify (* (sin (/ -0.5 K)) 0) into 0
13.482 * [backup-simplify]: Simplify (- 0) into 0
13.482 * [backup-simplify]: Simplify (+ (cos (/ -0.5 K)) 0) into (cos (/ -0.5 K))
13.482 * [taylor]: Taking taylor expansion of (pow U 2) in J
13.482 * [taylor]: Taking taylor expansion of U in J
13.482 * [backup-simplify]: Simplify U into U
13.482 * [backup-simplify]: Simplify (* 1 1) into 1
13.483 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) (cos (/ -0.5 K))) into (pow (cos (/ -0.5 K)) 2)
13.483 * [backup-simplify]: Simplify (* U U) into (pow U 2)
13.483 * [backup-simplify]: Simplify (* (pow (cos (/ -0.5 K)) 2) (pow U 2)) into (* (pow (cos (/ -0.5 K)) 2) (pow U 2))
13.483 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))
13.483 * [taylor]: Taking taylor expansion of 1.0 in J
13.483 * [backup-simplify]: Simplify 1.0 into 1.0
13.483 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
13.484 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
13.484 * [backup-simplify]: Simplify (+ 0 0) into 0
13.484 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
13.484 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)) in K
13.484 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0) in K
13.484 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) in K
13.484 * [taylor]: Taking taylor expansion of 0.25 in K
13.484 * [backup-simplify]: Simplify 0.25 into 0.25
13.484 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) in K
13.484 * [taylor]: Taking taylor expansion of (pow J 2) in K
13.484 * [taylor]: Taking taylor expansion of J in K
13.484 * [backup-simplify]: Simplify J into J
13.484 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -0.5 K)) 2) (pow U 2)) in K
13.484 * [taylor]: Taking taylor expansion of (pow (cos (/ -0.5 K)) 2) in K
13.484 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in K
13.484 * [taylor]: Taking taylor expansion of (/ -0.5 K) in K
13.484 * [taylor]: Taking taylor expansion of -0.5 in K
13.484 * [backup-simplify]: Simplify -0.5 into -0.5
13.484 * [taylor]: Taking taylor expansion of K in K
13.484 * [backup-simplify]: Simplify 0 into 0
13.485 * [backup-simplify]: Simplify 1 into 1
13.485 * [backup-simplify]: Simplify (/ -0.5 1) into -0.5
13.485 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
13.485 * [taylor]: Taking taylor expansion of (pow U 2) in K
13.485 * [taylor]: Taking taylor expansion of U in K
13.485 * [backup-simplify]: Simplify U into U
13.485 * [backup-simplify]: Simplify (* J J) into (pow J 2)
13.485 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) (cos (/ -0.5 K))) into (pow (cos (/ -0.5 K)) 2)
13.485 * [backup-simplify]: Simplify (* U U) into (pow U 2)
13.485 * [backup-simplify]: Simplify (* (pow (cos (/ -0.5 K)) 2) (pow U 2)) into (* (pow (cos (/ -0.5 K)) 2) (pow U 2))
13.485 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))
13.486 * [taylor]: Taking taylor expansion of 1.0 in K
13.486 * [backup-simplify]: Simplify 1.0 into 1.0
13.486 * [backup-simplify]: Simplify (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) into (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))))
13.486 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0) into (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)
13.486 * [backup-simplify]: Simplify (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)) into (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0))
13.487 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
13.487 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
13.487 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 (cos (/ -0.5 K)))) into 0
13.487 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -0.5 K)) 2) 0) (* 0 (pow U 2))) into 0
13.487 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))))) into 0
13.489 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))))) into 0
13.490 * [backup-simplify]: Simplify (+ 0 0) into 0
13.490 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)))) into 0
13.490 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)) in U
13.490 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0) in U
13.490 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) in U
13.490 * [taylor]: Taking taylor expansion of 0.25 in U
13.490 * [backup-simplify]: Simplify 0.25 into 0.25
13.490 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) in U
13.490 * [taylor]: Taking taylor expansion of (pow J 2) in U
13.490 * [taylor]: Taking taylor expansion of J in U
13.490 * [backup-simplify]: Simplify J into J
13.490 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -0.5 K)) 2) (pow U 2)) in U
13.490 * [taylor]: Taking taylor expansion of (pow (cos (/ -0.5 K)) 2) in U
13.490 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in U
13.490 * [taylor]: Taking taylor expansion of (/ -0.5 K) in U
13.491 * [taylor]: Taking taylor expansion of -0.5 in U
13.491 * [backup-simplify]: Simplify -0.5 into -0.5
13.491 * [taylor]: Taking taylor expansion of K in U
13.491 * [backup-simplify]: Simplify K into K
13.491 * [backup-simplify]: Simplify (/ -0.5 K) into (/ -0.5 K)
13.491 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
13.491 * [backup-simplify]: Simplify (sin (/ -0.5 K)) into (sin (/ -0.5 K))
13.491 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
13.491 * [backup-simplify]: Simplify (* (sin (/ -0.5 K)) 0) into 0
13.491 * [backup-simplify]: Simplify (- 0) into 0
13.491 * [backup-simplify]: Simplify (+ (cos (/ -0.5 K)) 0) into (cos (/ -0.5 K))
13.491 * [taylor]: Taking taylor expansion of (pow U 2) in U
13.491 * [taylor]: Taking taylor expansion of U in U
13.491 * [backup-simplify]: Simplify 0 into 0
13.491 * [backup-simplify]: Simplify 1 into 1
13.491 * [backup-simplify]: Simplify (* J J) into (pow J 2)
13.491 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) (cos (/ -0.5 K))) into (pow (cos (/ -0.5 K)) 2)
13.492 * [backup-simplify]: Simplify (* 1 1) into 1
13.492 * [backup-simplify]: Simplify (* (pow (cos (/ -0.5 K)) 2) 1) into (pow (cos (/ -0.5 K)) 2)
13.492 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)) into (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))
13.492 * [taylor]: Taking taylor expansion of 1.0 in U
13.492 * [backup-simplify]: Simplify 1.0 into 1.0
13.492 * [backup-simplify]: Simplify (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))) into (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))
13.492 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))) 0) into (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))
13.493 * [backup-simplify]: Simplify (sqrt (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) into (/ (* (sqrt 0.25) J) (cos (/ -0.5 K)))
13.493 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
13.493 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.493 * [backup-simplify]: Simplify (+ 0) into 0
13.494 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 1)) into 0
13.494 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)))) into 0
13.494 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.495 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (* 0 0)) into 0
13.495 * [backup-simplify]: Simplify (- 0) into 0
13.495 * [backup-simplify]: Simplify (+ 0 0) into 0
13.495 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 (cos (/ -0.5 K)))) into 0
13.496 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -0.5 K)) 2) 0) (* 0 1)) into 0
13.496 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -0.5 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)) (/ 0 (pow (cos (/ -0.5 K)) 2))))) into 0
13.497 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) into 0
13.497 * [backup-simplify]: Simplify (+ 0 0) into 0
13.498 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))))) into 0
13.498 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)) in U
13.498 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0) in U
13.498 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) in U
13.498 * [taylor]: Taking taylor expansion of 0.25 in U
13.498 * [backup-simplify]: Simplify 0.25 into 0.25
13.498 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) in U
13.498 * [taylor]: Taking taylor expansion of (pow J 2) in U
13.498 * [taylor]: Taking taylor expansion of J in U
13.498 * [backup-simplify]: Simplify J into J
13.498 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -0.5 K)) 2) (pow U 2)) in U
13.498 * [taylor]: Taking taylor expansion of (pow (cos (/ -0.5 K)) 2) in U
13.498 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in U
13.498 * [taylor]: Taking taylor expansion of (/ -0.5 K) in U
13.498 * [taylor]: Taking taylor expansion of -0.5 in U
13.498 * [backup-simplify]: Simplify -0.5 into -0.5
13.498 * [taylor]: Taking taylor expansion of K in U
13.498 * [backup-simplify]: Simplify K into K
13.499 * [backup-simplify]: Simplify (/ -0.5 K) into (/ -0.5 K)
13.499 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
13.499 * [backup-simplify]: Simplify (sin (/ -0.5 K)) into (sin (/ -0.5 K))
13.499 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
13.499 * [backup-simplify]: Simplify (* (sin (/ -0.5 K)) 0) into 0
13.499 * [backup-simplify]: Simplify (- 0) into 0
13.499 * [backup-simplify]: Simplify (+ (cos (/ -0.5 K)) 0) into (cos (/ -0.5 K))
13.500 * [taylor]: Taking taylor expansion of (pow U 2) in U
13.500 * [taylor]: Taking taylor expansion of U in U
13.500 * [backup-simplify]: Simplify 0 into 0
13.500 * [backup-simplify]: Simplify 1 into 1
13.500 * [backup-simplify]: Simplify (* J J) into (pow J 2)
13.500 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) (cos (/ -0.5 K))) into (pow (cos (/ -0.5 K)) 2)
13.500 * [backup-simplify]: Simplify (* 1 1) into 1
13.500 * [backup-simplify]: Simplify (* (pow (cos (/ -0.5 K)) 2) 1) into (pow (cos (/ -0.5 K)) 2)
13.501 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)) into (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))
13.501 * [taylor]: Taking taylor expansion of 1.0 in U
13.501 * [backup-simplify]: Simplify 1.0 into 1.0
13.501 * [backup-simplify]: Simplify (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))) into (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))
13.502 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))) 0) into (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))
13.502 * [backup-simplify]: Simplify (sqrt (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) into (/ (* (sqrt 0.25) J) (cos (/ -0.5 K)))
13.502 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
13.503 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.503 * [backup-simplify]: Simplify (+ 0) into 0
13.504 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 1)) into 0
13.504 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)))) into 0
13.505 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.505 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (* 0 0)) into 0
13.506 * [backup-simplify]: Simplify (- 0) into 0
13.506 * [backup-simplify]: Simplify (+ 0 0) into 0
13.506 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 (cos (/ -0.5 K)))) into 0
13.507 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -0.5 K)) 2) 0) (* 0 1)) into 0
13.508 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -0.5 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)) (/ 0 (pow (cos (/ -0.5 K)) 2))))) into 0
13.509 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) into 0
13.509 * [backup-simplify]: Simplify (+ 0 0) into 0
13.509 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))))) into 0
13.509 * [taylor]: Taking taylor expansion of (/ (* (sqrt 0.25) J) (cos (/ -0.5 K))) in K
13.509 * [taylor]: Taking taylor expansion of (* (sqrt 0.25) J) in K
13.509 * [taylor]: Taking taylor expansion of (sqrt 0.25) in K
13.510 * [taylor]: Taking taylor expansion of 0.25 in K
13.510 * [backup-simplify]: Simplify 0.25 into 0.25
13.510 * [backup-simplify]: Simplify (sqrt 0.25) into (sqrt 0.25)
13.511 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.25))) into 0
13.511 * [taylor]: Taking taylor expansion of J in K
13.511 * [backup-simplify]: Simplify J into J
13.511 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in K
13.511 * [taylor]: Taking taylor expansion of (/ -0.5 K) in K
13.511 * [taylor]: Taking taylor expansion of -0.5 in K
13.511 * [backup-simplify]: Simplify -0.5 into -0.5
13.511 * [taylor]: Taking taylor expansion of K in K
13.511 * [backup-simplify]: Simplify 0 into 0
13.511 * [backup-simplify]: Simplify 1 into 1
13.511 * [backup-simplify]: Simplify (/ -0.5 1) into -0.5
13.512 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
13.512 * [backup-simplify]: Simplify (* (sqrt 0.25) J) into (* (sqrt 0.25) J)
13.513 * [backup-simplify]: Simplify (/ (* (sqrt 0.25) J) (cos (/ -0.5 K))) into (/ (* (sqrt 0.25) J) (cos (/ -0.5 K)))
13.513 * [taylor]: Taking taylor expansion of (/ (* (sqrt 0.25) J) (cos (/ -0.5 K))) in J
13.513 * [taylor]: Taking taylor expansion of (* (sqrt 0.25) J) in J
13.513 * [taylor]: Taking taylor expansion of (sqrt 0.25) in J
13.513 * [taylor]: Taking taylor expansion of 0.25 in J
13.513 * [backup-simplify]: Simplify 0.25 into 0.25
13.513 * [backup-simplify]: Simplify (sqrt 0.25) into (sqrt 0.25)
13.514 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.25))) into 0
13.514 * [taylor]: Taking taylor expansion of J in J
13.514 * [backup-simplify]: Simplify 0 into 0
13.514 * [backup-simplify]: Simplify 1 into 1
13.514 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in J
13.514 * [taylor]: Taking taylor expansion of (/ -0.5 K) in J
13.514 * [taylor]: Taking taylor expansion of -0.5 in J
13.514 * [backup-simplify]: Simplify -0.5 into -0.5
13.514 * [taylor]: Taking taylor expansion of K in J
13.514 * [backup-simplify]: Simplify K into K
13.514 * [backup-simplify]: Simplify (/ -0.5 K) into (/ -0.5 K)
13.515 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
13.515 * [backup-simplify]: Simplify (sin (/ -0.5 K)) into (sin (/ -0.5 K))
13.515 * [backup-simplify]: Simplify (* (sqrt 0.25) 0) into 0
13.517 * [backup-simplify]: Simplify (+ (* (sqrt 0.25) 1) (* 0 0)) into (sqrt 0.25)
13.517 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
13.518 * [backup-simplify]: Simplify (* (sin (/ -0.5 K)) 0) into 0
13.518 * [backup-simplify]: Simplify (- 0) into 0
13.518 * [backup-simplify]: Simplify (+ (cos (/ -0.5 K)) 0) into (cos (/ -0.5 K))
13.519 * [backup-simplify]: Simplify (/ (sqrt 0.25) (cos (/ -0.5 K))) into (/ (sqrt 0.25) (cos (/ -0.5 K)))
13.519 * [taylor]: Taking taylor expansion of 0 in K
13.519 * [backup-simplify]: Simplify 0 into 0
13.519 * [taylor]: Taking taylor expansion of 0 in J
13.519 * [backup-simplify]: Simplify 0 into 0
13.519 * [backup-simplify]: Simplify 0 into 0
13.520 * [backup-simplify]: Simplify (+ (* (sqrt 0.25) 0) (* 0 J)) into 0
13.521 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -0.5 K))) (+ (* (/ (* (sqrt 0.25) J) (cos (/ -0.5 K))) (/ 0 (cos (/ -0.5 K)))))) into 0
13.521 * [taylor]: Taking taylor expansion of 0 in J
13.521 * [backup-simplify]: Simplify 0 into 0
13.521 * [backup-simplify]: Simplify 0 into 0
13.521 * [backup-simplify]: Simplify (/ (sqrt 0.25) (cos (/ -0.5 K))) into (/ (sqrt 0.25) (cos (/ -0.5 K)))
13.522 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
13.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.524 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
13.524 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (+ (* 0 0) (* 0 1))) into 0
13.525 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
13.525 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
13.526 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (+ (* 0 0) (* 0 0))) into 0
13.526 * [backup-simplify]: Simplify (- 0) into 0
13.527 * [backup-simplify]: Simplify (+ 0 0) into 0
13.527 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (+ (* 0 0) (* 0 (cos (/ -0.5 K))))) into 0
13.528 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -0.5 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
13.529 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -0.5 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)) (/ 0 (pow (cos (/ -0.5 K)) 2))) (* 0 (/ 0 (pow (cos (/ -0.5 K)) 2))))) into 0
13.530 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))))) into 0
13.531 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
13.533 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (/ (* (sqrt 0.25) J) (cos (/ -0.5 K))))) into (* 0.5 (/ (cos (/ -0.5 K)) (* (sqrt 0.25) J)))
13.533 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -0.5 K)) (* (sqrt 0.25) J))) in K
13.533 * [taylor]: Taking taylor expansion of 0.5 in K
13.533 * [backup-simplify]: Simplify 0.5 into 0.5
13.533 * [taylor]: Taking taylor expansion of (/ (cos (/ -0.5 K)) (* (sqrt 0.25) J)) in K
13.533 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in K
13.533 * [taylor]: Taking taylor expansion of (/ -0.5 K) in K
13.533 * [taylor]: Taking taylor expansion of -0.5 in K
13.533 * [backup-simplify]: Simplify -0.5 into -0.5
13.533 * [taylor]: Taking taylor expansion of K in K
13.533 * [backup-simplify]: Simplify 0 into 0
13.533 * [backup-simplify]: Simplify 1 into 1
13.534 * [backup-simplify]: Simplify (/ -0.5 1) into -0.5
13.534 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
13.534 * [taylor]: Taking taylor expansion of (* (sqrt 0.25) J) in K
13.534 * [taylor]: Taking taylor expansion of (sqrt 0.25) in K
13.534 * [taylor]: Taking taylor expansion of 0.25 in K
13.534 * [backup-simplify]: Simplify 0.25 into 0.25
13.534 * [backup-simplify]: Simplify (sqrt 0.25) into (sqrt 0.25)
13.535 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.25))) into 0
13.535 * [taylor]: Taking taylor expansion of J in K
13.535 * [backup-simplify]: Simplify J into J
13.535 * [backup-simplify]: Simplify (* (sqrt 0.25) J) into (* (sqrt 0.25) J)
13.536 * [backup-simplify]: Simplify (/ (cos (/ -0.5 K)) (* (sqrt 0.25) J)) into (/ (cos (/ -0.5 K)) (* (sqrt 0.25) J))
13.537 * [backup-simplify]: Simplify (* 0.5 (/ (cos (/ -0.5 K)) (* (sqrt 0.25) J))) into (* 0.5 (/ (cos (/ -0.5 K)) (* (sqrt 0.25) J)))
13.537 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -0.5 K)) (* (sqrt 0.25) J))) in J
13.537 * [taylor]: Taking taylor expansion of 0.5 in J
13.537 * [backup-simplify]: Simplify 0.5 into 0.5
13.537 * [taylor]: Taking taylor expansion of (/ (cos (/ -0.5 K)) (* (sqrt 0.25) J)) in J
13.537 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in J
13.537 * [taylor]: Taking taylor expansion of (/ -0.5 K) in J
13.537 * [taylor]: Taking taylor expansion of -0.5 in J
13.537 * [backup-simplify]: Simplify -0.5 into -0.5
13.537 * [taylor]: Taking taylor expansion of K in J
13.537 * [backup-simplify]: Simplify K into K
13.537 * [backup-simplify]: Simplify (/ -0.5 K) into (/ -0.5 K)
13.537 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
13.537 * [backup-simplify]: Simplify (sin (/ -0.5 K)) into (sin (/ -0.5 K))
13.537 * [taylor]: Taking taylor expansion of (* (sqrt 0.25) J) in J
13.537 * [taylor]: Taking taylor expansion of (sqrt 0.25) in J
13.537 * [taylor]: Taking taylor expansion of 0.25 in J
13.537 * [backup-simplify]: Simplify 0.25 into 0.25
13.538 * [backup-simplify]: Simplify (sqrt 0.25) into (sqrt 0.25)
13.538 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.25))) into 0
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
13.539 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
13.539 * [backup-simplify]: Simplify (* (sin (/ -0.5 K)) 0) into 0
13.539 * [backup-simplify]: Simplify (- 0) into 0
13.539 * [backup-simplify]: Simplify (+ (cos (/ -0.5 K)) 0) into (cos (/ -0.5 K))
13.540 * [backup-simplify]: Simplify (* (sqrt 0.25) 0) into 0
13.542 * [backup-simplify]: Simplify (+ (* (sqrt 0.25) 1) (* 0 0)) into (sqrt 0.25)
13.542 * [backup-simplify]: Simplify (/ (cos (/ -0.5 K)) (sqrt 0.25)) into (/ (cos (/ -0.5 K)) (sqrt 0.25))
13.543 * [backup-simplify]: Simplify (+ 0) into 0
13.543 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 1)) into 0
13.543 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)))) into 0
13.544 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.544 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (* 0 0)) into 0
13.545 * [backup-simplify]: Simplify (- 0) into 0
13.545 * [backup-simplify]: Simplify (+ 0 0) into 0
13.545 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.25))) into 0
13.546 * [backup-simplify]: Simplify (+ (* (sqrt 0.25) 0) (+ (* 0 1) (* 0 0))) into 0
13.547 * [backup-simplify]: Simplify (- (/ 0 (sqrt 0.25)) (+ (* (/ (cos (/ -0.5 K)) (sqrt 0.25)) (/ 0 (sqrt 0.25))))) into 0
13.548 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ (cos (/ -0.5 K)) (sqrt 0.25)))) into 0
13.548 * [backup-simplify]: Simplify 0 into 0
13.548 * [taylor]: Taking taylor expansion of 0 in J
13.548 * [backup-simplify]: Simplify 0 into 0
13.548 * [backup-simplify]: Simplify 0 into 0
13.548 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.25))) into 0
13.549 * [backup-simplify]: Simplify (+ (* (sqrt 0.25) 0) (+ (* 0 0) (* 0 J))) into 0
13.549 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -0.5 K))) (+ (* (/ (* (sqrt 0.25) J) (cos (/ -0.5 K))) (/ 0 (cos (/ -0.5 K)))) (* 0 (/ 0 (cos (/ -0.5 K)))))) into 0
13.549 * [taylor]: Taking taylor expansion of 0 in J
13.550 * [backup-simplify]: Simplify 0 into 0
13.550 * [backup-simplify]: Simplify 0 into 0
13.550 * [backup-simplify]: Simplify 0 into 0
13.550 * [backup-simplify]: Simplify 0 into 0
13.550 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.25))) into 0
13.551 * [backup-simplify]: Simplify (+ (* (sqrt 0.25) 0) (+ (* 0 1) (* 0 0))) into 0
13.551 * [backup-simplify]: Simplify (+ 0) into 0
13.551 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 1)) into 0
13.552 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)))) into 0
13.552 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.552 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (* 0 0)) into 0
13.553 * [backup-simplify]: Simplify (- 0) into 0
13.553 * [backup-simplify]: Simplify (+ 0 0) into 0
13.553 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -0.5 K))) (+ (* (/ (sqrt 0.25) (cos (/ -0.5 K))) (/ 0 (cos (/ -0.5 K)))))) into 0
13.553 * [backup-simplify]: Simplify 0 into 0
13.554 * [backup-simplify]: Simplify (* (/ (sqrt 0.25) (cos (/ -0.5 (/ 1 (- K))))) (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U)))))) into (/ (* (sqrt 0.25) U) (* (cos (* 0.5 K)) J))
13.554 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1)
13.554 * [backup-simplify]: Simplify (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) into (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0))
13.554 * [approximate]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0)) in (U K J) around 0
13.554 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0)) in J
13.554 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0) in J
13.554 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) in J
13.554 * [taylor]: Taking taylor expansion of 0.25 in J
13.554 * [backup-simplify]: Simplify 0.25 into 0.25
13.554 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2))) in J
13.554 * [taylor]: Taking taylor expansion of (pow U 2) in J
13.554 * [taylor]: Taking taylor expansion of U in J
13.554 * [backup-simplify]: Simplify U into U
13.554 * [taylor]: Taking taylor expansion of (* (pow J 2) (pow (cos (* 0.5 K)) 2)) in J
13.554 * [taylor]: Taking taylor expansion of (pow J 2) in J
13.554 * [taylor]: Taking taylor expansion of J in J
13.554 * [backup-simplify]: Simplify 0 into 0
13.554 * [backup-simplify]: Simplify 1 into 1
13.554 * [taylor]: Taking taylor expansion of (pow (cos (* 0.5 K)) 2) in J
13.554 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in J
13.554 * [taylor]: Taking taylor expansion of (* 0.5 K) in J
13.554 * [taylor]: Taking taylor expansion of 0.5 in J
13.555 * [backup-simplify]: Simplify 0.5 into 0.5
13.555 * [taylor]: Taking taylor expansion of K in J
13.555 * [backup-simplify]: Simplify K into K
13.555 * [backup-simplify]: Simplify (* 0.5 K) into (* 0.5 K)
13.555 * [backup-simplify]: Simplify (cos (* 0.5 K)) into (cos (* 0.5 K))
13.555 * [backup-simplify]: Simplify (sin (* 0.5 K)) into (sin (* 0.5 K))
13.555 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) 1) into (cos (* 0.5 K))
13.555 * [backup-simplify]: Simplify (* (sin (* 0.5 K)) 0) into 0
13.555 * [backup-simplify]: Simplify (- 0) into 0
13.555 * [backup-simplify]: Simplify (+ (cos (* 0.5 K)) 0) into (cos (* 0.5 K))
13.555 * [backup-simplify]: Simplify (* U U) into (pow U 2)
13.555 * [backup-simplify]: Simplify (* 1 1) into 1
13.555 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) (cos (* 0.5 K))) into (pow (cos (* 0.5 K)) 2)
13.556 * [backup-simplify]: Simplify (* 1 (pow (cos (* 0.5 K)) 2)) into (pow (cos (* 0.5 K)) 2)
13.556 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 0.5 K)) 2)) into (/ (pow U 2) (pow (cos (* 0.5 K)) 2))
13.556 * [taylor]: Taking taylor expansion of 1.0 in J
13.556 * [backup-simplify]: Simplify 1.0 into 1.0
13.556 * [backup-simplify]: Simplify (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2))) into (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2)))
13.556 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2))) 0) into (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2)))
13.556 * [backup-simplify]: Simplify (sqrt (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2)))) into (/ (* (sqrt 0.25) U) (cos (* 0.5 K)))
13.557 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
13.557 * [backup-simplify]: Simplify (+ 0) into 0
13.557 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (* 0 1)) into 0
13.558 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 K)) into 0
13.558 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.558 * [backup-simplify]: Simplify (+ (* (sin (* 0.5 K)) 0) (* 0 0)) into 0
13.559 * [backup-simplify]: Simplify (- 0) into 0
13.559 * [backup-simplify]: Simplify (+ 0 0) into 0
13.559 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (* 0 (cos (* 0.5 K)))) into 0
13.559 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.560 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (* 0.5 K)) 2))) into 0
13.560 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 0.5 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 0.5 K)) 2)) (/ 0 (pow (cos (* 0.5 K)) 2))))) into 0
13.561 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow U 2) (pow (cos (* 0.5 K)) 2)))) into 0
13.561 * [backup-simplify]: Simplify (+ 0 0) into 0
13.561 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2)))))) into 0
13.561 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0)) in K
13.561 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0) in K
13.561 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) in K
13.561 * [taylor]: Taking taylor expansion of 0.25 in K
13.561 * [backup-simplify]: Simplify 0.25 into 0.25
13.561 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2))) in K
13.561 * [taylor]: Taking taylor expansion of (pow U 2) in K
13.561 * [taylor]: Taking taylor expansion of U in K
13.561 * [backup-simplify]: Simplify U into U
13.561 * [taylor]: Taking taylor expansion of (* (pow J 2) (pow (cos (* 0.5 K)) 2)) in K
13.561 * [taylor]: Taking taylor expansion of (pow J 2) in K
13.561 * [taylor]: Taking taylor expansion of J in K
13.561 * [backup-simplify]: Simplify J into J
13.561 * [taylor]: Taking taylor expansion of (pow (cos (* 0.5 K)) 2) in K
13.561 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in K
13.562 * [taylor]: Taking taylor expansion of (* 0.5 K) in K
13.562 * [taylor]: Taking taylor expansion of 0.5 in K
13.562 * [backup-simplify]: Simplify 0.5 into 0.5
13.562 * [taylor]: Taking taylor expansion of K in K
13.562 * [backup-simplify]: Simplify 0 into 0
13.562 * [backup-simplify]: Simplify 1 into 1
13.562 * [backup-simplify]: Simplify (* 0.5 0) into 0
13.563 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5
13.563 * [backup-simplify]: Simplify (* U U) into (pow U 2)
13.563 * [backup-simplify]: Simplify (* J J) into (pow J 2)
13.563 * [backup-simplify]: Simplify (* 1 1) into 1
13.563 * [backup-simplify]: Simplify (* (pow J 2) 1) into (pow J 2)
13.563 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
13.563 * [taylor]: Taking taylor expansion of 1.0 in K
13.563 * [backup-simplify]: Simplify 1.0 into 1.0
13.564 * [backup-simplify]: Simplify (* 0.25 (/ (pow U 2) (pow J 2))) into (* 0.25 (/ (pow U 2) (pow J 2)))
13.564 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow U 2) (pow J 2))) 1.0) into (+ (* 0.25 (/ (pow U 2) (pow J 2))) 1.0)
13.564 * [backup-simplify]: Simplify (sqrt (+ (* 0.25 (/ (pow U 2) (pow J 2))) 1.0)) into (sqrt (+ (* 0.25 (/ (pow U 2) (pow J 2))) 1.0))
13.564 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
13.564 * [backup-simplify]: Simplify (+ 0) into 0
13.565 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.565 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
13.565 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (* 0 1)) into 0
13.565 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
13.566 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
13.566 * [backup-simplify]: Simplify (+ 0 0) into 0
13.566 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 0.25 (/ (pow U 2) (pow J 2))) 1.0)))) into 0
13.566 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0)) in U
13.566 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0) in U
13.566 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) in U
13.566 * [taylor]: Taking taylor expansion of 0.25 in U
13.566 * [backup-simplify]: Simplify 0.25 into 0.25
13.566 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2))) in U
13.566 * [taylor]: Taking taylor expansion of (pow U 2) in U
13.566 * [taylor]: Taking taylor expansion of U in U
13.566 * [backup-simplify]: Simplify 0 into 0
13.566 * [backup-simplify]: Simplify 1 into 1
13.566 * [taylor]: Taking taylor expansion of (* (pow J 2) (pow (cos (* 0.5 K)) 2)) in U
13.566 * [taylor]: Taking taylor expansion of (pow J 2) in U
13.567 * [taylor]: Taking taylor expansion of J in U
13.567 * [backup-simplify]: Simplify J into J
13.567 * [taylor]: Taking taylor expansion of (pow (cos (* 0.5 K)) 2) in U
13.567 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in U
13.567 * [taylor]: Taking taylor expansion of (* 0.5 K) in U
13.567 * [taylor]: Taking taylor expansion of 0.5 in U
13.567 * [backup-simplify]: Simplify 0.5 into 0.5
13.567 * [taylor]: Taking taylor expansion of K in U
13.567 * [backup-simplify]: Simplify K into K
13.567 * [backup-simplify]: Simplify (* 0.5 K) into (* 0.5 K)
13.567 * [backup-simplify]: Simplify (cos (* 0.5 K)) into (cos (* 0.5 K))
13.567 * [backup-simplify]: Simplify (sin (* 0.5 K)) into (sin (* 0.5 K))
13.567 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) 1) into (cos (* 0.5 K))
13.567 * [backup-simplify]: Simplify (* (sin (* 0.5 K)) 0) into 0
13.567 * [backup-simplify]: Simplify (- 0) into 0
13.567 * [backup-simplify]: Simplify (+ (cos (* 0.5 K)) 0) into (cos (* 0.5 K))
13.567 * [backup-simplify]: Simplify (* 1 1) into 1
13.568 * [backup-simplify]: Simplify (* J J) into (pow J 2)
13.568 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) (cos (* 0.5 K))) into (pow (cos (* 0.5 K)) 2)
13.568 * [backup-simplify]: Simplify (* (pow J 2) (pow (cos (* 0.5 K)) 2)) into (* (pow J 2) (pow (cos (* 0.5 K)) 2))
13.568 * [backup-simplify]: Simplify (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2))) into (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2)))
13.568 * [taylor]: Taking taylor expansion of 1.0 in U
13.568 * [backup-simplify]: Simplify 1.0 into 1.0
13.568 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
13.569 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
13.569 * [backup-simplify]: Simplify (+ 0 0) into 0
13.569 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
13.569 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0)) in U
13.569 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0) in U
13.569 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) in U
13.569 * [taylor]: Taking taylor expansion of 0.25 in U
13.569 * [backup-simplify]: Simplify 0.25 into 0.25
13.569 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2))) in U
13.569 * [taylor]: Taking taylor expansion of (pow U 2) in U
13.569 * [taylor]: Taking taylor expansion of U in U
13.569 * [backup-simplify]: Simplify 0 into 0
13.569 * [backup-simplify]: Simplify 1 into 1
13.569 * [taylor]: Taking taylor expansion of (* (pow J 2) (pow (cos (* 0.5 K)) 2)) in U
13.569 * [taylor]: Taking taylor expansion of (pow J 2) in U
13.569 * [taylor]: Taking taylor expansion of J in U
13.569 * [backup-simplify]: Simplify J into J
13.569 * [taylor]: Taking taylor expansion of (pow (cos (* 0.5 K)) 2) in U
13.570 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in U
13.570 * [taylor]: Taking taylor expansion of (* 0.5 K) in U
13.570 * [taylor]: Taking taylor expansion of 0.5 in U
13.570 * [backup-simplify]: Simplify 0.5 into 0.5
13.570 * [taylor]: Taking taylor expansion of K in U
13.570 * [backup-simplify]: Simplify K into K
13.570 * [backup-simplify]: Simplify (* 0.5 K) into (* 0.5 K)
13.570 * [backup-simplify]: Simplify (cos (* 0.5 K)) into (cos (* 0.5 K))
13.570 * [backup-simplify]: Simplify (sin (* 0.5 K)) into (sin (* 0.5 K))
13.570 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) 1) into (cos (* 0.5 K))
13.570 * [backup-simplify]: Simplify (* (sin (* 0.5 K)) 0) into 0
13.570 * [backup-simplify]: Simplify (- 0) into 0
13.570 * [backup-simplify]: Simplify (+ (cos (* 0.5 K)) 0) into (cos (* 0.5 K))
13.570 * [backup-simplify]: Simplify (* 1 1) into 1
13.570 * [backup-simplify]: Simplify (* J J) into (pow J 2)
13.571 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) (cos (* 0.5 K))) into (pow (cos (* 0.5 K)) 2)
13.571 * [backup-simplify]: Simplify (* (pow J 2) (pow (cos (* 0.5 K)) 2)) into (* (pow J 2) (pow (cos (* 0.5 K)) 2))
13.571 * [backup-simplify]: Simplify (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2))) into (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2)))
13.571 * [taylor]: Taking taylor expansion of 1.0 in U
13.571 * [backup-simplify]: Simplify 1.0 into 1.0
13.571 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
13.572 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
13.572 * [backup-simplify]: Simplify (+ 0 0) into 0
13.573 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
13.573 * [taylor]: Taking taylor expansion of (sqrt 1.0) in K
13.573 * [taylor]: Taking taylor expansion of 1.0 in K
13.573 * [backup-simplify]: Simplify 1.0 into 1.0
13.573 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
13.574 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
13.574 * [taylor]: Taking taylor expansion of (sqrt 1.0) in J
13.574 * [taylor]: Taking taylor expansion of 1.0 in J
13.574 * [backup-simplify]: Simplify 1.0 into 1.0
13.574 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
13.575 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
13.575 * [taylor]: Taking taylor expansion of 0 in K
13.575 * [backup-simplify]: Simplify 0 into 0
13.575 * [taylor]: Taking taylor expansion of 0 in J
13.575 * [backup-simplify]: Simplify 0 into 0
13.575 * [taylor]: Taking taylor expansion of 0 in J
13.575 * [backup-simplify]: Simplify 0 into 0
13.576 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
13.576 * [backup-simplify]: Simplify (* 0.25 (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) into (/ 0.25 (* (pow J 2) (pow (cos (* 0.5 K)) 2)))
13.577 * [backup-simplify]: Simplify (+ (/ 0.25 (* (pow J 2) (pow (cos (* 0.5 K)) 2))) 0) into (* 0.25 (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2))))
13.579 * [backup-simplify]: Simplify (/ (- (* 0.25 (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ 0.125 (* (sqrt 1.0) (* (pow J 2) (pow (cos (* 0.5 K)) 2))))
13.579 * [taylor]: Taking taylor expansion of (/ 0.125 (* (sqrt 1.0) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) in K
13.579 * [taylor]: Taking taylor expansion of 0.125 in K
13.579 * [backup-simplify]: Simplify 0.125 into 0.125
13.579 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (* (pow J 2) (pow (cos (* 0.5 K)) 2))) in K
13.579 * [taylor]: Taking taylor expansion of (sqrt 1.0) in K
13.579 * [taylor]: Taking taylor expansion of 1.0 in K
13.579 * [backup-simplify]: Simplify 1.0 into 1.0
13.579 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
13.580 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
13.580 * [taylor]: Taking taylor expansion of (* (pow J 2) (pow (cos (* 0.5 K)) 2)) in K
13.580 * [taylor]: Taking taylor expansion of (pow J 2) in K
13.580 * [taylor]: Taking taylor expansion of J in K
13.580 * [backup-simplify]: Simplify J into J
13.580 * [taylor]: Taking taylor expansion of (pow (cos (* 0.5 K)) 2) in K
13.580 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in K
13.580 * [taylor]: Taking taylor expansion of (* 0.5 K) in K
13.580 * [taylor]: Taking taylor expansion of 0.5 in K
13.580 * [backup-simplify]: Simplify 0.5 into 0.5
13.580 * [taylor]: Taking taylor expansion of K in K
13.580 * [backup-simplify]: Simplify 0 into 0
13.580 * [backup-simplify]: Simplify 1 into 1
13.581 * [backup-simplify]: Simplify (* 0.5 0) into 0
13.582 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5
13.582 * [backup-simplify]: Simplify (* J J) into (pow J 2)
13.583 * [backup-simplify]: Simplify (* 1 1) into 1
13.583 * [backup-simplify]: Simplify (* (pow J 2) 1) into (pow J 2)
13.584 * [backup-simplify]: Simplify (* (sqrt 1.0) (pow J 2)) into (* (sqrt 1.0) (pow J 2))
13.584 * [backup-simplify]: Simplify (/ 0.125 (* (sqrt 1.0) (pow J 2))) into (/ 0.125 (* (sqrt 1.0) (pow J 2)))
13.584 * [taylor]: Taking taylor expansion of (/ 0.125 (* (sqrt 1.0) (pow J 2))) in J
13.584 * [taylor]: Taking taylor expansion of 0.125 in J
13.584 * [backup-simplify]: Simplify 0.125 into 0.125
13.584 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (pow J 2)) in J
13.584 * [taylor]: Taking taylor expansion of (sqrt 1.0) in J
13.585 * [taylor]: Taking taylor expansion of 1.0 in J
13.585 * [backup-simplify]: Simplify 1.0 into 1.0
13.585 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
13.586 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
13.586 * [taylor]: Taking taylor expansion of (pow J 2) in J
13.586 * [taylor]: Taking taylor expansion of J in J
13.586 * [backup-simplify]: Simplify 0 into 0
13.586 * [backup-simplify]: Simplify 1 into 1
13.586 * [backup-simplify]: Simplify (* 1 1) into 1
13.587 * [backup-simplify]: Simplify (* (sqrt 1.0) 1) into (sqrt 1.0)
13.588 * [backup-simplify]: Simplify (/ 0.125 (sqrt 1.0)) into (/ 0.125 (sqrt 1.0))
13.588 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.589 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 1)) into 0
13.590 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ 0.125 (sqrt 1.0)) (/ 0 (sqrt 1.0))))) into 0
13.590 * [backup-simplify]: Simplify 0 into 0
13.590 * [taylor]: Taking taylor expansion of 0 in J
13.590 * [backup-simplify]: Simplify 0 into 0
13.590 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
13.590 * [taylor]: Taking taylor expansion of 0 in J
13.590 * [backup-simplify]: Simplify 0 into 0
13.590 * [backup-simplify]: Simplify 0 into 0
13.590 * [backup-simplify]: Simplify 0 into 0
13.590 * [backup-simplify]: Simplify 0 into 0
13.591 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.591 * [backup-simplify]: Simplify (+ 0) into 0
13.591 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (* 0 1)) into 0
13.592 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 K)) into 0
13.592 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.593 * [backup-simplify]: Simplify (+ (* (sin (* 0.5 K)) 0) (* 0 0)) into 0
13.593 * [backup-simplify]: Simplify (- 0) into 0
13.593 * [backup-simplify]: Simplify (+ 0 0) into 0
13.593 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (* 0 (cos (* 0.5 K)))) into 0
13.593 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
13.593 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (* 0 (pow (cos (* 0.5 K)) 2))) into 0
13.594 * [backup-simplify]: Simplify (- (/ 0 (* (pow J 2) (pow (cos (* 0.5 K)) 2))) (+ (* (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2))) (/ 0 (* (pow J 2) (pow (cos (* 0.5 K)) 2)))))) into 0
13.594 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2))))) into 0
13.595 * [backup-simplify]: Simplify (+ 0 0) into 0
13.596 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.125 (* (sqrt 1.0) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))))))) (* 2 (sqrt 1.0))) into 0
13.596 * [taylor]: Taking taylor expansion of 0 in K
13.596 * [backup-simplify]: Simplify 0 into 0
13.596 * [taylor]: Taking taylor expansion of 0 in J
13.596 * [backup-simplify]: Simplify 0 into 0
13.596 * [backup-simplify]: Simplify (+ 0) into 0
13.596 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.597 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
13.597 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (* 0 1)) into 0
13.597 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (pow J 2))) into 0
13.598 * [backup-simplify]: Simplify (- (/ 0 (* (sqrt 1.0) (pow J 2))) (+ (* (/ 0.125 (* (sqrt 1.0) (pow J 2))) (/ 0 (* (sqrt 1.0) (pow J 2)))))) into 0
13.598 * [taylor]: Taking taylor expansion of 0 in J
13.598 * [backup-simplify]: Simplify 0 into 0
13.598 * [taylor]: Taking taylor expansion of 0 in J
13.598 * [backup-simplify]: Simplify 0 into 0
13.599 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0
13.599 * [taylor]: Taking taylor expansion of 0 in J
13.599 * [backup-simplify]: Simplify 0 into 0
13.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.600 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
13.601 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* 0 1))) into 0
13.602 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ 0.125 (sqrt 1.0)) (/ 0 (sqrt 1.0))) (* 0 (/ 0 (sqrt 1.0))))) into 0
13.602 * [backup-simplify]: Simplify 0 into 0
13.602 * [backup-simplify]: Simplify 0 into 0
13.602 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
13.602 * [backup-simplify]: Simplify (sqrt (+ 1.0 (pow (/ (/ 1 U) (* (cos (/ (/ 1 K) 2.0)) (* 2.0 (/ 1 J)))) 2.0))) into (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0))
13.602 * [approximate]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) in (U K J) around 0
13.602 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) in J
13.603 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0) in J
13.603 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) in J
13.603 * [taylor]: Taking taylor expansion of 0.25 in J
13.603 * [backup-simplify]: Simplify 0.25 into 0.25
13.603 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))) in J
13.603 * [taylor]: Taking taylor expansion of (pow J 2) in J
13.603 * [taylor]: Taking taylor expansion of J in J
13.603 * [backup-simplify]: Simplify 0 into 0
13.603 * [backup-simplify]: Simplify 1 into 1
13.603 * [taylor]: Taking taylor expansion of (* (pow (cos (/ 0.5 K)) 2) (pow U 2)) in J
13.603 * [taylor]: Taking taylor expansion of (pow (cos (/ 0.5 K)) 2) in J
13.603 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in J
13.603 * [taylor]: Taking taylor expansion of (/ 0.5 K) in J
13.603 * [taylor]: Taking taylor expansion of 0.5 in J
13.603 * [backup-simplify]: Simplify 0.5 into 0.5
13.603 * [taylor]: Taking taylor expansion of K in J
13.603 * [backup-simplify]: Simplify K into K
13.603 * [backup-simplify]: Simplify (/ 0.5 K) into (/ 0.5 K)
13.603 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
13.603 * [backup-simplify]: Simplify (sin (/ 0.5 K)) into (sin (/ 0.5 K))
13.603 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
13.603 * [backup-simplify]: Simplify (* (sin (/ 0.5 K)) 0) into 0
13.603 * [backup-simplify]: Simplify (- 0) into 0
13.603 * [backup-simplify]: Simplify (+ (cos (/ 0.5 K)) 0) into (cos (/ 0.5 K))
13.603 * [taylor]: Taking taylor expansion of (pow U 2) in J
13.603 * [taylor]: Taking taylor expansion of U in J
13.603 * [backup-simplify]: Simplify U into U
13.604 * [backup-simplify]: Simplify (* 1 1) into 1
13.604 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) (cos (/ 0.5 K))) into (pow (cos (/ 0.5 K)) 2)
13.604 * [backup-simplify]: Simplify (* U U) into (pow U 2)
13.604 * [backup-simplify]: Simplify (* (pow (cos (/ 0.5 K)) 2) (pow U 2)) into (* (pow U 2) (pow (cos (/ 0.5 K)) 2))
13.604 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 0.5 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 0.5 K)) 2)))
13.604 * [taylor]: Taking taylor expansion of 1.0 in J
13.604 * [backup-simplify]: Simplify 1.0 into 1.0
13.605 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
13.605 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
13.605 * [backup-simplify]: Simplify (+ 0 0) into 0
13.605 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
13.606 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) in K
13.606 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0) in K
13.606 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) in K
13.606 * [taylor]: Taking taylor expansion of 0.25 in K
13.606 * [backup-simplify]: Simplify 0.25 into 0.25
13.606 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))) in K
13.606 * [taylor]: Taking taylor expansion of (pow J 2) in K
13.606 * [taylor]: Taking taylor expansion of J in K
13.606 * [backup-simplify]: Simplify J into J
13.606 * [taylor]: Taking taylor expansion of (* (pow (cos (/ 0.5 K)) 2) (pow U 2)) in K
13.606 * [taylor]: Taking taylor expansion of (pow (cos (/ 0.5 K)) 2) in K
13.606 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in K
13.606 * [taylor]: Taking taylor expansion of (/ 0.5 K) in K
13.606 * [taylor]: Taking taylor expansion of 0.5 in K
13.606 * [backup-simplify]: Simplify 0.5 into 0.5
13.606 * [taylor]: Taking taylor expansion of K in K
13.606 * [backup-simplify]: Simplify 0 into 0
13.606 * [backup-simplify]: Simplify 1 into 1
13.606 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5
13.606 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
13.606 * [taylor]: Taking taylor expansion of (pow U 2) in K
13.606 * [taylor]: Taking taylor expansion of U in K
13.606 * [backup-simplify]: Simplify U into U
13.606 * [backup-simplify]: Simplify (* J J) into (pow J 2)
13.606 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) (cos (/ 0.5 K))) into (pow (cos (/ 0.5 K)) 2)
13.606 * [backup-simplify]: Simplify (* U U) into (pow U 2)
13.607 * [backup-simplify]: Simplify (* (pow (cos (/ 0.5 K)) 2) (pow U 2)) into (* (pow U 2) (pow (cos (/ 0.5 K)) 2))
13.607 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 0.5 K)) 2))) into (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))
13.607 * [taylor]: Taking taylor expansion of 1.0 in K
13.607 * [backup-simplify]: Simplify 1.0 into 1.0
13.607 * [backup-simplify]: Simplify (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) into (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))))
13.607 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0) into (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)
13.608 * [backup-simplify]: Simplify (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) into (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0))
13.608 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
13.608 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
13.608 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 (cos (/ 0.5 K)))) into 0
13.608 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 0.5 K)) 2) 0) (* 0 (pow U 2))) into 0
13.609 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 0.5 K)) 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))) (/ 0 (* (pow U 2) (pow (cos (/ 0.5 K)) 2)))))) into 0
13.609 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))))) into 0
13.610 * [backup-simplify]: Simplify (+ 0 0) into 0
13.610 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)))) into 0
13.610 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) in U
13.610 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0) in U
13.610 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) in U
13.610 * [taylor]: Taking taylor expansion of 0.25 in U
13.610 * [backup-simplify]: Simplify 0.25 into 0.25
13.610 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))) in U
13.610 * [taylor]: Taking taylor expansion of (pow J 2) in U
13.610 * [taylor]: Taking taylor expansion of J in U
13.610 * [backup-simplify]: Simplify J into J
13.610 * [taylor]: Taking taylor expansion of (* (pow (cos (/ 0.5 K)) 2) (pow U 2)) in U
13.610 * [taylor]: Taking taylor expansion of (pow (cos (/ 0.5 K)) 2) in U
13.610 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in U
13.610 * [taylor]: Taking taylor expansion of (/ 0.5 K) in U
13.610 * [taylor]: Taking taylor expansion of 0.5 in U
13.610 * [backup-simplify]: Simplify 0.5 into 0.5
13.610 * [taylor]: Taking taylor expansion of K in U
13.610 * [backup-simplify]: Simplify K into K
13.610 * [backup-simplify]: Simplify (/ 0.5 K) into (/ 0.5 K)
13.610 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
13.611 * [backup-simplify]: Simplify (sin (/ 0.5 K)) into (sin (/ 0.5 K))
13.611 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
13.611 * [backup-simplify]: Simplify (* (sin (/ 0.5 K)) 0) into 0
13.611 * [backup-simplify]: Simplify (- 0) into 0
13.611 * [backup-simplify]: Simplify (+ (cos (/ 0.5 K)) 0) into (cos (/ 0.5 K))
13.611 * [taylor]: Taking taylor expansion of (pow U 2) in U
13.611 * [taylor]: Taking taylor expansion of U in U
13.611 * [backup-simplify]: Simplify 0 into 0
13.611 * [backup-simplify]: Simplify 1 into 1
13.611 * [backup-simplify]: Simplify (* J J) into (pow J 2)
13.611 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) (cos (/ 0.5 K))) into (pow (cos (/ 0.5 K)) 2)
13.611 * [backup-simplify]: Simplify (* 1 1) into 1
13.612 * [backup-simplify]: Simplify (* (pow (cos (/ 0.5 K)) 2) 1) into (pow (cos (/ 0.5 K)) 2)
13.612 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)) into (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))
13.612 * [taylor]: Taking taylor expansion of 1.0 in U
13.612 * [backup-simplify]: Simplify 1.0 into 1.0
13.612 * [backup-simplify]: Simplify (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))) into (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))
13.612 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))) 0) into (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))
13.612 * [backup-simplify]: Simplify (sqrt (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) into (/ (* (sqrt 0.25) J) (cos (/ 0.5 K)))
13.612 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
13.614 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.615 * [backup-simplify]: Simplify (+ 0) into 0
13.615 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 1)) into 0
13.615 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)))) into 0
13.616 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.616 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (* 0 0)) into 0
13.617 * [backup-simplify]: Simplify (- 0) into 0
13.617 * [backup-simplify]: Simplify (+ 0 0) into 0
13.617 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 (cos (/ 0.5 K)))) into 0
13.618 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 0.5 K)) 2) 0) (* 0 1)) into 0
13.619 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 0.5 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)) (/ 0 (pow (cos (/ 0.5 K)) 2))))) into 0
13.619 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) into 0
13.620 * [backup-simplify]: Simplify (+ 0 0) into 0
13.620 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))))) into 0
13.620 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) in U
13.620 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0) in U
13.620 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) in U
13.620 * [taylor]: Taking taylor expansion of 0.25 in U
13.620 * [backup-simplify]: Simplify 0.25 into 0.25
13.621 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))) in U
13.621 * [taylor]: Taking taylor expansion of (pow J 2) in U
13.621 * [taylor]: Taking taylor expansion of J in U
13.621 * [backup-simplify]: Simplify J into J
13.621 * [taylor]: Taking taylor expansion of (* (pow (cos (/ 0.5 K)) 2) (pow U 2)) in U
13.621 * [taylor]: Taking taylor expansion of (pow (cos (/ 0.5 K)) 2) in U
13.621 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in U
13.621 * [taylor]: Taking taylor expansion of (/ 0.5 K) in U
13.621 * [taylor]: Taking taylor expansion of 0.5 in U
13.621 * [backup-simplify]: Simplify 0.5 into 0.5
13.621 * [taylor]: Taking taylor expansion of K in U
13.621 * [backup-simplify]: Simplify K into K
13.621 * [backup-simplify]: Simplify (/ 0.5 K) into (/ 0.5 K)
13.621 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
13.621 * [backup-simplify]: Simplify (sin (/ 0.5 K)) into (sin (/ 0.5 K))
13.621 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
13.621 * [backup-simplify]: Simplify (* (sin (/ 0.5 K)) 0) into 0
13.622 * [backup-simplify]: Simplify (- 0) into 0
13.622 * [backup-simplify]: Simplify (+ (cos (/ 0.5 K)) 0) into (cos (/ 0.5 K))
13.622 * [taylor]: Taking taylor expansion of (pow U 2) in U
13.622 * [taylor]: Taking taylor expansion of U in U
13.622 * [backup-simplify]: Simplify 0 into 0
13.622 * [backup-simplify]: Simplify 1 into 1
13.622 * [backup-simplify]: Simplify (* J J) into (pow J 2)
13.622 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) (cos (/ 0.5 K))) into (pow (cos (/ 0.5 K)) 2)
13.623 * [backup-simplify]: Simplify (* 1 1) into 1
13.623 * [backup-simplify]: Simplify (* (pow (cos (/ 0.5 K)) 2) 1) into (pow (cos (/ 0.5 K)) 2)
13.623 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)) into (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))
13.623 * [taylor]: Taking taylor expansion of 1.0 in U
13.623 * [backup-simplify]: Simplify 1.0 into 1.0
13.623 * [backup-simplify]: Simplify (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))) into (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))
13.624 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))) 0) into (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))
13.624 * [backup-simplify]: Simplify (sqrt (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) into (/ (* (sqrt 0.25) J) (cos (/ 0.5 K)))
13.624 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
13.625 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.626 * [backup-simplify]: Simplify (+ 0) into 0
13.626 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 1)) into 0
13.626 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)))) into 0
13.627 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.628 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (* 0 0)) into 0
13.628 * [backup-simplify]: Simplify (- 0) into 0
13.628 * [backup-simplify]: Simplify (+ 0 0) into 0
13.629 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 (cos (/ 0.5 K)))) into 0
13.629 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 0.5 K)) 2) 0) (* 0 1)) into 0
13.630 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 0.5 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)) (/ 0 (pow (cos (/ 0.5 K)) 2))))) into 0
13.631 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) into 0
13.631 * [backup-simplify]: Simplify (+ 0 0) into 0
13.632 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))))) into 0
13.632 * [taylor]: Taking taylor expansion of (/ (* (sqrt 0.25) J) (cos (/ 0.5 K))) in K
13.632 * [taylor]: Taking taylor expansion of (* (sqrt 0.25) J) in K
13.632 * [taylor]: Taking taylor expansion of (sqrt 0.25) in K
13.632 * [taylor]: Taking taylor expansion of 0.25 in K
13.632 * [backup-simplify]: Simplify 0.25 into 0.25
13.633 * [backup-simplify]: Simplify (sqrt 0.25) into (sqrt 0.25)
13.633 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.25))) into 0
13.633 * [taylor]: Taking taylor expansion of J in K
13.633 * [backup-simplify]: Simplify J into J
13.633 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in K
13.633 * [taylor]: Taking taylor expansion of (/ 0.5 K) in K
13.634 * [taylor]: Taking taylor expansion of 0.5 in K
13.634 * [backup-simplify]: Simplify 0.5 into 0.5
13.634 * [taylor]: Taking taylor expansion of K in K
13.634 * [backup-simplify]: Simplify 0 into 0
13.634 * [backup-simplify]: Simplify 1 into 1
13.634 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5
13.634 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
13.635 * [backup-simplify]: Simplify (* (sqrt 0.25) J) into (* (sqrt 0.25) J)
13.635 * [backup-simplify]: Simplify (/ (* (sqrt 0.25) J) (cos (/ 0.5 K))) into (/ (* (sqrt 0.25) J) (cos (/ 0.5 K)))
13.635 * [taylor]: Taking taylor expansion of (/ (* (sqrt 0.25) J) (cos (/ 0.5 K))) in J
13.635 * [taylor]: Taking taylor expansion of (* (sqrt 0.25) J) in J
13.635 * [taylor]: Taking taylor expansion of (sqrt 0.25) in J
13.635 * [taylor]: Taking taylor expansion of 0.25 in J
13.635 * [backup-simplify]: Simplify 0.25 into 0.25
13.636 * [backup-simplify]: Simplify (sqrt 0.25) into (sqrt 0.25)
13.637 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.25))) into 0
13.637 * [taylor]: Taking taylor expansion of J in J
13.637 * [backup-simplify]: Simplify 0 into 0
13.637 * [backup-simplify]: Simplify 1 into 1
13.637 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in J
13.637 * [taylor]: Taking taylor expansion of (/ 0.5 K) in J
13.637 * [taylor]: Taking taylor expansion of 0.5 in J
13.637 * [backup-simplify]: Simplify 0.5 into 0.5
13.637 * [taylor]: Taking taylor expansion of K in J
13.637 * [backup-simplify]: Simplify K into K
13.637 * [backup-simplify]: Simplify (/ 0.5 K) into (/ 0.5 K)
13.637 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
13.637 * [backup-simplify]: Simplify (sin (/ 0.5 K)) into (sin (/ 0.5 K))
13.638 * [backup-simplify]: Simplify (* (sqrt 0.25) 0) into 0
13.640 * [backup-simplify]: Simplify (+ (* (sqrt 0.25) 1) (* 0 0)) into (sqrt 0.25)
13.640 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
13.640 * [backup-simplify]: Simplify (* (sin (/ 0.5 K)) 0) into 0
13.640 * [backup-simplify]: Simplify (- 0) into 0
13.641 * [backup-simplify]: Simplify (+ (cos (/ 0.5 K)) 0) into (cos (/ 0.5 K))
13.641 * [backup-simplify]: Simplify (/ (sqrt 0.25) (cos (/ 0.5 K))) into (/ (sqrt 0.25) (cos (/ 0.5 K)))
13.641 * [taylor]: Taking taylor expansion of 0 in K
13.641 * [backup-simplify]: Simplify 0 into 0
13.641 * [taylor]: Taking taylor expansion of 0 in J
13.641 * [backup-simplify]: Simplify 0 into 0
13.641 * [backup-simplify]: Simplify 0 into 0
13.642 * [backup-simplify]: Simplify (+ (* (sqrt 0.25) 0) (* 0 J)) into 0
13.643 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 0.5 K))) (+ (* (/ (* (sqrt 0.25) J) (cos (/ 0.5 K))) (/ 0 (cos (/ 0.5 K)))))) into 0
13.643 * [taylor]: Taking taylor expansion of 0 in J
13.643 * [backup-simplify]: Simplify 0 into 0
13.643 * [backup-simplify]: Simplify 0 into 0
13.643 * [backup-simplify]: Simplify (/ (sqrt 0.25) (cos (/ 0.5 K))) into (/ (sqrt 0.25) (cos (/ 0.5 K)))
13.644 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
13.645 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.646 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
13.646 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (+ (* 0 0) (* 0 1))) into 0
13.647 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
13.647 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
13.648 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (+ (* 0 0) (* 0 0))) into 0
13.648 * [backup-simplify]: Simplify (- 0) into 0
13.649 * [backup-simplify]: Simplify (+ 0 0) into 0
13.649 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (+ (* 0 0) (* 0 (cos (/ 0.5 K))))) into 0
13.650 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 0.5 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
13.651 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 0.5 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)) (/ 0 (pow (cos (/ 0.5 K)) 2))) (* 0 (/ 0 (pow (cos (/ 0.5 K)) 2))))) into 0
13.652 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))))) into 0
13.653 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
13.655 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (/ (* (sqrt 0.25) J) (cos (/ 0.5 K))))) into (* 0.5 (/ (cos (/ 0.5 K)) (* (sqrt 0.25) J)))
13.655 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 0.5 K)) (* (sqrt 0.25) J))) in K
13.655 * [taylor]: Taking taylor expansion of 0.5 in K
13.655 * [backup-simplify]: Simplify 0.5 into 0.5
13.655 * [taylor]: Taking taylor expansion of (/ (cos (/ 0.5 K)) (* (sqrt 0.25) J)) in K
13.655 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in K
13.655 * [taylor]: Taking taylor expansion of (/ 0.5 K) in K
13.655 * [taylor]: Taking taylor expansion of 0.5 in K
13.655 * [backup-simplify]: Simplify 0.5 into 0.5
13.655 * [taylor]: Taking taylor expansion of K in K
13.655 * [backup-simplify]: Simplify 0 into 0
13.655 * [backup-simplify]: Simplify 1 into 1
13.656 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5
13.656 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
13.656 * [taylor]: Taking taylor expansion of (* (sqrt 0.25) J) in K
13.656 * [taylor]: Taking taylor expansion of (sqrt 0.25) in K
13.656 * [taylor]: Taking taylor expansion of 0.25 in K
13.656 * [backup-simplify]: Simplify 0.25 into 0.25
13.656 * [backup-simplify]: Simplify (sqrt 0.25) into (sqrt 0.25)
13.657 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.25))) into 0
13.657 * [taylor]: Taking taylor expansion of J in K
13.657 * [backup-simplify]: Simplify J into J
13.658 * [backup-simplify]: Simplify (* (sqrt 0.25) J) into (* (sqrt 0.25) J)
13.659 * [backup-simplify]: Simplify (/ (cos (/ 0.5 K)) (* (sqrt 0.25) J)) into (/ (cos (/ 0.5 K)) (* (sqrt 0.25) J))
13.659 * [backup-simplify]: Simplify (* 0.5 (/ (cos (/ 0.5 K)) (* (sqrt 0.25) J))) into (* 0.5 (/ (cos (/ 0.5 K)) (* (sqrt 0.25) J)))
13.659 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 0.5 K)) (* (sqrt 0.25) J))) in J
13.659 * [taylor]: Taking taylor expansion of 0.5 in J
13.659 * [backup-simplify]: Simplify 0.5 into 0.5
13.659 * [taylor]: Taking taylor expansion of (/ (cos (/ 0.5 K)) (* (sqrt 0.25) J)) in J
13.659 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in J
13.659 * [taylor]: Taking taylor expansion of (/ 0.5 K) in J
13.659 * [taylor]: Taking taylor expansion of 0.5 in J
13.659 * [backup-simplify]: Simplify 0.5 into 0.5
13.659 * [taylor]: Taking taylor expansion of K in J
13.659 * [backup-simplify]: Simplify K into K
13.659 * [backup-simplify]: Simplify (/ 0.5 K) into (/ 0.5 K)
13.660 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
13.660 * [backup-simplify]: Simplify (sin (/ 0.5 K)) into (sin (/ 0.5 K))
13.660 * [taylor]: Taking taylor expansion of (* (sqrt 0.25) J) in J
13.660 * [taylor]: Taking taylor expansion of (sqrt 0.25) in J
13.660 * [taylor]: Taking taylor expansion of 0.25 in J
13.660 * [backup-simplify]: Simplify 0.25 into 0.25
13.660 * [backup-simplify]: Simplify (sqrt 0.25) into (sqrt 0.25)
13.661 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.25))) into 0
13.661 * [taylor]: Taking taylor expansion of J in J
13.661 * [backup-simplify]: Simplify 0 into 0
13.661 * [backup-simplify]: Simplify 1 into 1
13.661 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
13.661 * [backup-simplify]: Simplify (* (sin (/ 0.5 K)) 0) into 0
13.662 * [backup-simplify]: Simplify (- 0) into 0
13.662 * [backup-simplify]: Simplify (+ (cos (/ 0.5 K)) 0) into (cos (/ 0.5 K))
13.662 * [backup-simplify]: Simplify (* (sqrt 0.25) 0) into 0
13.664 * [backup-simplify]: Simplify (+ (* (sqrt 0.25) 1) (* 0 0)) into (sqrt 0.25)
13.665 * [backup-simplify]: Simplify (/ (cos (/ 0.5 K)) (sqrt 0.25)) into (/ (cos (/ 0.5 K)) (sqrt 0.25))
13.665 * [backup-simplify]: Simplify (+ 0) into 0
13.666 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 1)) into 0
13.666 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)))) into 0
13.667 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.667 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (* 0 0)) into 0
13.668 * [backup-simplify]: Simplify (- 0) into 0
13.668 * [backup-simplify]: Simplify (+ 0 0) into 0
13.669 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.25))) into 0
13.670 * [backup-simplify]: Simplify (+ (* (sqrt 0.25) 0) (+ (* 0 1) (* 0 0))) into 0
13.672 * [backup-simplify]: Simplify (- (/ 0 (sqrt 0.25)) (+ (* (/ (cos (/ 0.5 K)) (sqrt 0.25)) (/ 0 (sqrt 0.25))))) into 0
13.673 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ (cos (/ 0.5 K)) (sqrt 0.25)))) into 0
13.673 * [backup-simplify]: Simplify 0 into 0
13.673 * [taylor]: Taking taylor expansion of 0 in J
13.673 * [backup-simplify]: Simplify 0 into 0
13.673 * [backup-simplify]: Simplify 0 into 0
13.673 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.25))) into 0
13.674 * [backup-simplify]: Simplify (+ (* (sqrt 0.25) 0) (+ (* 0 0) (* 0 J))) into 0
13.674 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 0.5 K))) (+ (* (/ (* (sqrt 0.25) J) (cos (/ 0.5 K))) (/ 0 (cos (/ 0.5 K)))) (* 0 (/ 0 (cos (/ 0.5 K)))))) into 0
13.674 * [taylor]: Taking taylor expansion of 0 in J
13.674 * [backup-simplify]: Simplify 0 into 0
13.674 * [backup-simplify]: Simplify 0 into 0
13.674 * [backup-simplify]: Simplify 0 into 0
13.675 * [backup-simplify]: Simplify 0 into 0
13.675 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.25))) into 0
13.676 * [backup-simplify]: Simplify (+ (* (sqrt 0.25) 0) (+ (* 0 1) (* 0 0))) into 0
13.676 * [backup-simplify]: Simplify (+ 0) into 0
13.676 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 1)) into 0
13.677 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)))) into 0
13.677 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.677 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (* 0 0)) into 0
13.678 * [backup-simplify]: Simplify (- 0) into 0
13.678 * [backup-simplify]: Simplify (+ 0 0) into 0
13.678 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 0.5 K))) (+ (* (/ (sqrt 0.25) (cos (/ 0.5 K))) (/ 0 (cos (/ 0.5 K)))))) into 0
13.678 * [backup-simplify]: Simplify 0 into 0
13.679 * [backup-simplify]: Simplify (* (/ (sqrt 0.25) (cos (/ 0.5 (/ 1 K)))) (* (/ 1 J) (* 1 (/ 1 (/ 1 U))))) into (/ (* (sqrt 0.25) U) (* (cos (* 0.5 K)) J))
13.679 * [backup-simplify]: Simplify (sqrt (+ 1.0 (pow (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2.0)) (* 2.0 (/ 1 (- J))))) 2.0))) into (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0))
13.679 * [approximate]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)) in (U K J) around 0
13.679 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)) in J
13.679 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0) in J
13.679 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) in J
13.679 * [taylor]: Taking taylor expansion of 0.25 in J
13.679 * [backup-simplify]: Simplify 0.25 into 0.25
13.679 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) in J
13.679 * [taylor]: Taking taylor expansion of (pow J 2) in J
13.679 * [taylor]: Taking taylor expansion of J in J
13.679 * [backup-simplify]: Simplify 0 into 0
13.679 * [backup-simplify]: Simplify 1 into 1
13.679 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -0.5 K)) 2) (pow U 2)) in J
13.679 * [taylor]: Taking taylor expansion of (pow (cos (/ -0.5 K)) 2) in J
13.679 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in J
13.679 * [taylor]: Taking taylor expansion of (/ -0.5 K) in J
13.679 * [taylor]: Taking taylor expansion of -0.5 in J
13.679 * [backup-simplify]: Simplify -0.5 into -0.5
13.679 * [taylor]: Taking taylor expansion of K in J
13.679 * [backup-simplify]: Simplify K into K
13.679 * [backup-simplify]: Simplify (/ -0.5 K) into (/ -0.5 K)
13.679 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
13.679 * [backup-simplify]: Simplify (sin (/ -0.5 K)) into (sin (/ -0.5 K))
13.680 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
13.680 * [backup-simplify]: Simplify (* (sin (/ -0.5 K)) 0) into 0
13.680 * [backup-simplify]: Simplify (- 0) into 0
13.680 * [backup-simplify]: Simplify (+ (cos (/ -0.5 K)) 0) into (cos (/ -0.5 K))
13.680 * [taylor]: Taking taylor expansion of (pow U 2) in J
13.680 * [taylor]: Taking taylor expansion of U in J
13.680 * [backup-simplify]: Simplify U into U
13.680 * [backup-simplify]: Simplify (* 1 1) into 1
13.680 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) (cos (/ -0.5 K))) into (pow (cos (/ -0.5 K)) 2)
13.680 * [backup-simplify]: Simplify (* U U) into (pow U 2)
13.681 * [backup-simplify]: Simplify (* (pow (cos (/ -0.5 K)) 2) (pow U 2)) into (* (pow (cos (/ -0.5 K)) 2) (pow U 2))
13.681 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))
13.681 * [taylor]: Taking taylor expansion of 1.0 in J
13.681 * [backup-simplify]: Simplify 1.0 into 1.0
13.681 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
13.681 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
13.682 * [backup-simplify]: Simplify (+ 0 0) into 0
13.682 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
13.682 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)) in K
13.682 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0) in K
13.682 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) in K
13.682 * [taylor]: Taking taylor expansion of 0.25 in K
13.682 * [backup-simplify]: Simplify 0.25 into 0.25
13.682 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) in K
13.682 * [taylor]: Taking taylor expansion of (pow J 2) in K
13.682 * [taylor]: Taking taylor expansion of J in K
13.682 * [backup-simplify]: Simplify J into J
13.682 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -0.5 K)) 2) (pow U 2)) in K
13.682 * [taylor]: Taking taylor expansion of (pow (cos (/ -0.5 K)) 2) in K
13.682 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in K
13.682 * [taylor]: Taking taylor expansion of (/ -0.5 K) in K
13.682 * [taylor]: Taking taylor expansion of -0.5 in K
13.682 * [backup-simplify]: Simplify -0.5 into -0.5
13.682 * [taylor]: Taking taylor expansion of K in K
13.682 * [backup-simplify]: Simplify 0 into 0
13.682 * [backup-simplify]: Simplify 1 into 1
13.683 * [backup-simplify]: Simplify (/ -0.5 1) into -0.5
13.683 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
13.683 * [taylor]: Taking taylor expansion of (pow U 2) in K
13.683 * [taylor]: Taking taylor expansion of U in K
13.683 * [backup-simplify]: Simplify U into U
13.683 * [backup-simplify]: Simplify (* J J) into (pow J 2)
13.683 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) (cos (/ -0.5 K))) into (pow (cos (/ -0.5 K)) 2)
13.683 * [backup-simplify]: Simplify (* U U) into (pow U 2)
13.683 * [backup-simplify]: Simplify (* (pow (cos (/ -0.5 K)) 2) (pow U 2)) into (* (pow (cos (/ -0.5 K)) 2) (pow U 2))
13.683 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))
13.683 * [taylor]: Taking taylor expansion of 1.0 in K
13.684 * [backup-simplify]: Simplify 1.0 into 1.0
13.684 * [backup-simplify]: Simplify (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) into (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))))
13.684 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0) into (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)
13.684 * [backup-simplify]: Simplify (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)) into (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0))
13.684 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
13.685 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
13.685 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 (cos (/ -0.5 K)))) into 0
13.685 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -0.5 K)) 2) 0) (* 0 (pow U 2))) into 0
13.685 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))))) into 0
13.686 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))))) into 0
13.686 * [backup-simplify]: Simplify (+ 0 0) into 0
13.687 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)))) into 0
13.687 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)) in U
13.687 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0) in U
13.687 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) in U
13.687 * [taylor]: Taking taylor expansion of 0.25 in U
13.687 * [backup-simplify]: Simplify 0.25 into 0.25
13.687 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) in U
13.687 * [taylor]: Taking taylor expansion of (pow J 2) in U
13.687 * [taylor]: Taking taylor expansion of J in U
13.687 * [backup-simplify]: Simplify J into J
13.687 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -0.5 K)) 2) (pow U 2)) in U
13.687 * [taylor]: Taking taylor expansion of (pow (cos (/ -0.5 K)) 2) in U
13.687 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in U
13.687 * [taylor]: Taking taylor expansion of (/ -0.5 K) in U
13.687 * [taylor]: Taking taylor expansion of -0.5 in U
13.687 * [backup-simplify]: Simplify -0.5 into -0.5
13.687 * [taylor]: Taking taylor expansion of K in U
13.687 * [backup-simplify]: Simplify K into K
13.687 * [backup-simplify]: Simplify (/ -0.5 K) into (/ -0.5 K)
13.687 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
13.687 * [backup-simplify]: Simplify (sin (/ -0.5 K)) into (sin (/ -0.5 K))
13.687 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
13.687 * [backup-simplify]: Simplify (* (sin (/ -0.5 K)) 0) into 0
13.687 * [backup-simplify]: Simplify (- 0) into 0
13.688 * [backup-simplify]: Simplify (+ (cos (/ -0.5 K)) 0) into (cos (/ -0.5 K))
13.688 * [taylor]: Taking taylor expansion of (pow U 2) in U
13.688 * [taylor]: Taking taylor expansion of U in U
13.688 * [backup-simplify]: Simplify 0 into 0
13.688 * [backup-simplify]: Simplify 1 into 1
13.688 * [backup-simplify]: Simplify (* J J) into (pow J 2)
13.688 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) (cos (/ -0.5 K))) into (pow (cos (/ -0.5 K)) 2)
13.688 * [backup-simplify]: Simplify (* 1 1) into 1
13.688 * [backup-simplify]: Simplify (* (pow (cos (/ -0.5 K)) 2) 1) into (pow (cos (/ -0.5 K)) 2)
13.688 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)) into (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))
13.688 * [taylor]: Taking taylor expansion of 1.0 in U
13.688 * [backup-simplify]: Simplify 1.0 into 1.0
13.689 * [backup-simplify]: Simplify (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))) into (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))
13.689 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))) 0) into (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))
13.689 * [backup-simplify]: Simplify (sqrt (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) into (/ (* (sqrt 0.25) J) (cos (/ -0.5 K)))
13.689 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
13.690 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.690 * [backup-simplify]: Simplify (+ 0) into 0
13.690 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 1)) into 0
13.690 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)))) into 0
13.691 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.691 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (* 0 0)) into 0
13.691 * [backup-simplify]: Simplify (- 0) into 0
13.691 * [backup-simplify]: Simplify (+ 0 0) into 0
13.692 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 (cos (/ -0.5 K)))) into 0
13.692 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -0.5 K)) 2) 0) (* 0 1)) into 0
13.692 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -0.5 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)) (/ 0 (pow (cos (/ -0.5 K)) 2))))) into 0
13.693 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) into 0
13.693 * [backup-simplify]: Simplify (+ 0 0) into 0
13.693 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))))) into 0
13.693 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)) in U
13.693 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0) in U
13.693 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) in U
13.694 * [taylor]: Taking taylor expansion of 0.25 in U
13.694 * [backup-simplify]: Simplify 0.25 into 0.25
13.694 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) in U
13.694 * [taylor]: Taking taylor expansion of (pow J 2) in U
13.694 * [taylor]: Taking taylor expansion of J in U
13.694 * [backup-simplify]: Simplify J into J
13.694 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -0.5 K)) 2) (pow U 2)) in U
13.694 * [taylor]: Taking taylor expansion of (pow (cos (/ -0.5 K)) 2) in U
13.694 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in U
13.694 * [taylor]: Taking taylor expansion of (/ -0.5 K) in U
13.694 * [taylor]: Taking taylor expansion of -0.5 in U
13.694 * [backup-simplify]: Simplify -0.5 into -0.5
13.694 * [taylor]: Taking taylor expansion of K in U
13.694 * [backup-simplify]: Simplify K into K
13.694 * [backup-simplify]: Simplify (/ -0.5 K) into (/ -0.5 K)
13.694 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
13.694 * [backup-simplify]: Simplify (sin (/ -0.5 K)) into (sin (/ -0.5 K))
13.694 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
13.694 * [backup-simplify]: Simplify (* (sin (/ -0.5 K)) 0) into 0
13.694 * [backup-simplify]: Simplify (- 0) into 0
13.694 * [backup-simplify]: Simplify (+ (cos (/ -0.5 K)) 0) into (cos (/ -0.5 K))
13.694 * [taylor]: Taking taylor expansion of (pow U 2) in U
13.694 * [taylor]: Taking taylor expansion of U in U
13.694 * [backup-simplify]: Simplify 0 into 0
13.694 * [backup-simplify]: Simplify 1 into 1
13.694 * [backup-simplify]: Simplify (* J J) into (pow J 2)
13.695 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) (cos (/ -0.5 K))) into (pow (cos (/ -0.5 K)) 2)
13.695 * [backup-simplify]: Simplify (* 1 1) into 1
13.695 * [backup-simplify]: Simplify (* (pow (cos (/ -0.5 K)) 2) 1) into (pow (cos (/ -0.5 K)) 2)
13.695 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)) into (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))
13.695 * [taylor]: Taking taylor expansion of 1.0 in U
13.695 * [backup-simplify]: Simplify 1.0 into 1.0
13.695 * [backup-simplify]: Simplify (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))) into (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))
13.696 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))) 0) into (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))
13.696 * [backup-simplify]: Simplify (sqrt (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) into (/ (* (sqrt 0.25) J) (cos (/ -0.5 K)))
13.696 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
13.696 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.696 * [backup-simplify]: Simplify (+ 0) into 0
13.697 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 1)) into 0
13.697 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)))) into 0
13.697 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.698 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (* 0 0)) into 0
13.698 * [backup-simplify]: Simplify (- 0) into 0
13.698 * [backup-simplify]: Simplify (+ 0 0) into 0
13.698 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 (cos (/ -0.5 K)))) into 0
13.699 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -0.5 K)) 2) 0) (* 0 1)) into 0
13.699 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -0.5 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)) (/ 0 (pow (cos (/ -0.5 K)) 2))))) into 0
13.700 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) into 0
13.700 * [backup-simplify]: Simplify (+ 0 0) into 0
13.700 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))))) into 0
13.700 * [taylor]: Taking taylor expansion of (/ (* (sqrt 0.25) J) (cos (/ -0.5 K))) in K
13.700 * [taylor]: Taking taylor expansion of (* (sqrt 0.25) J) in K
13.701 * [taylor]: Taking taylor expansion of (sqrt 0.25) in K
13.701 * [taylor]: Taking taylor expansion of 0.25 in K
13.701 * [backup-simplify]: Simplify 0.25 into 0.25
13.701 * [backup-simplify]: Simplify (sqrt 0.25) into (sqrt 0.25)
13.702 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.25))) into 0
13.702 * [taylor]: Taking taylor expansion of J in K
13.702 * [backup-simplify]: Simplify J into J
13.702 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in K
13.702 * [taylor]: Taking taylor expansion of (/ -0.5 K) in K
13.702 * [taylor]: Taking taylor expansion of -0.5 in K
13.702 * [backup-simplify]: Simplify -0.5 into -0.5
13.702 * [taylor]: Taking taylor expansion of K in K
13.702 * [backup-simplify]: Simplify 0 into 0
13.702 * [backup-simplify]: Simplify 1 into 1
13.703 * [backup-simplify]: Simplify (/ -0.5 1) into -0.5
13.703 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
13.703 * [backup-simplify]: Simplify (* (sqrt 0.25) J) into (* (sqrt 0.25) J)
13.704 * [backup-simplify]: Simplify (/ (* (sqrt 0.25) J) (cos (/ -0.5 K))) into (/ (* (sqrt 0.25) J) (cos (/ -0.5 K)))
13.704 * [taylor]: Taking taylor expansion of (/ (* (sqrt 0.25) J) (cos (/ -0.5 K))) in J
13.704 * [taylor]: Taking taylor expansion of (* (sqrt 0.25) J) in J
13.704 * [taylor]: Taking taylor expansion of (sqrt 0.25) in J
13.704 * [taylor]: Taking taylor expansion of 0.25 in J
13.704 * [backup-simplify]: Simplify 0.25 into 0.25
13.704 * [backup-simplify]: Simplify (sqrt 0.25) into (sqrt 0.25)
13.705 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.25))) into 0
13.705 * [taylor]: Taking taylor expansion of J in J
13.705 * [backup-simplify]: Simplify 0 into 0
13.705 * [backup-simplify]: Simplify 1 into 1
13.705 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in J
13.705 * [taylor]: Taking taylor expansion of (/ -0.5 K) in J
13.705 * [taylor]: Taking taylor expansion of -0.5 in J
13.705 * [backup-simplify]: Simplify -0.5 into -0.5
13.705 * [taylor]: Taking taylor expansion of K in J
13.705 * [backup-simplify]: Simplify K into K
13.705 * [backup-simplify]: Simplify (/ -0.5 K) into (/ -0.5 K)
13.705 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
13.705 * [backup-simplify]: Simplify (sin (/ -0.5 K)) into (sin (/ -0.5 K))
13.706 * [backup-simplify]: Simplify (* (sqrt 0.25) 0) into 0
13.708 * [backup-simplify]: Simplify (+ (* (sqrt 0.25) 1) (* 0 0)) into (sqrt 0.25)
13.709 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
13.709 * [backup-simplify]: Simplify (* (sin (/ -0.5 K)) 0) into 0
13.709 * [backup-simplify]: Simplify (- 0) into 0
13.709 * [backup-simplify]: Simplify (+ (cos (/ -0.5 K)) 0) into (cos (/ -0.5 K))
13.710 * [backup-simplify]: Simplify (/ (sqrt 0.25) (cos (/ -0.5 K))) into (/ (sqrt 0.25) (cos (/ -0.5 K)))
13.710 * [taylor]: Taking taylor expansion of 0 in K
13.710 * [backup-simplify]: Simplify 0 into 0
13.710 * [taylor]: Taking taylor expansion of 0 in J
13.710 * [backup-simplify]: Simplify 0 into 0
13.710 * [backup-simplify]: Simplify 0 into 0
13.710 * [backup-simplify]: Simplify (+ (* (sqrt 0.25) 0) (* 0 J)) into 0
13.711 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -0.5 K))) (+ (* (/ (* (sqrt 0.25) J) (cos (/ -0.5 K))) (/ 0 (cos (/ -0.5 K)))))) into 0
13.711 * [taylor]: Taking taylor expansion of 0 in J
13.711 * [backup-simplify]: Simplify 0 into 0
13.711 * [backup-simplify]: Simplify 0 into 0
13.712 * [backup-simplify]: Simplify (/ (sqrt 0.25) (cos (/ -0.5 K))) into (/ (sqrt 0.25) (cos (/ -0.5 K)))
13.712 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
13.713 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.714 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
13.715 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (+ (* 0 0) (* 0 1))) into 0
13.715 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
13.716 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
13.717 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (+ (* 0 0) (* 0 0))) into 0
13.717 * [backup-simplify]: Simplify (- 0) into 0
13.718 * [backup-simplify]: Simplify (+ 0 0) into 0
13.718 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (+ (* 0 0) (* 0 (cos (/ -0.5 K))))) into 0
13.719 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -0.5 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
13.720 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -0.5 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)) (/ 0 (pow (cos (/ -0.5 K)) 2))) (* 0 (/ 0 (pow (cos (/ -0.5 K)) 2))))) into 0
13.721 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))))) into 0
13.722 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
13.724 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (/ (* (sqrt 0.25) J) (cos (/ -0.5 K))))) into (* 0.5 (/ (cos (/ -0.5 K)) (* (sqrt 0.25) J)))
13.724 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -0.5 K)) (* (sqrt 0.25) J))) in K
13.724 * [taylor]: Taking taylor expansion of 0.5 in K
13.724 * [backup-simplify]: Simplify 0.5 into 0.5
13.724 * [taylor]: Taking taylor expansion of (/ (cos (/ -0.5 K)) (* (sqrt 0.25) J)) in K
13.724 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in K
13.724 * [taylor]: Taking taylor expansion of (/ -0.5 K) in K
13.724 * [taylor]: Taking taylor expansion of -0.5 in K
13.724 * [backup-simplify]: Simplify -0.5 into -0.5
13.724 * [taylor]: Taking taylor expansion of K in K
13.724 * [backup-simplify]: Simplify 0 into 0
13.724 * [backup-simplify]: Simplify 1 into 1
13.725 * [backup-simplify]: Simplify (/ -0.5 1) into -0.5
13.725 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
13.725 * [taylor]: Taking taylor expansion of (* (sqrt 0.25) J) in K
13.725 * [taylor]: Taking taylor expansion of (sqrt 0.25) in K
13.725 * [taylor]: Taking taylor expansion of 0.25 in K
13.725 * [backup-simplify]: Simplify 0.25 into 0.25
13.725 * [backup-simplify]: Simplify (sqrt 0.25) into (sqrt 0.25)
13.726 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.25))) into 0
13.726 * [taylor]: Taking taylor expansion of J in K
13.726 * [backup-simplify]: Simplify J into J
13.727 * [backup-simplify]: Simplify (* (sqrt 0.25) J) into (* (sqrt 0.25) J)
13.727 * [backup-simplify]: Simplify (/ (cos (/ -0.5 K)) (* (sqrt 0.25) J)) into (/ (cos (/ -0.5 K)) (* (sqrt 0.25) J))
13.728 * [backup-simplify]: Simplify (* 0.5 (/ (cos (/ -0.5 K)) (* (sqrt 0.25) J))) into (* 0.5 (/ (cos (/ -0.5 K)) (* (sqrt 0.25) J)))
13.728 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -0.5 K)) (* (sqrt 0.25) J))) in J
13.728 * [taylor]: Taking taylor expansion of 0.5 in J
13.728 * [backup-simplify]: Simplify 0.5 into 0.5
13.728 * [taylor]: Taking taylor expansion of (/ (cos (/ -0.5 K)) (* (sqrt 0.25) J)) in J
13.728 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in J
13.728 * [taylor]: Taking taylor expansion of (/ -0.5 K) in J
13.728 * [taylor]: Taking taylor expansion of -0.5 in J
13.728 * [backup-simplify]: Simplify -0.5 into -0.5
13.728 * [taylor]: Taking taylor expansion of K in J
13.728 * [backup-simplify]: Simplify K into K
13.728 * [backup-simplify]: Simplify (/ -0.5 K) into (/ -0.5 K)
13.728 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
13.728 * [backup-simplify]: Simplify (sin (/ -0.5 K)) into (sin (/ -0.5 K))
13.728 * [taylor]: Taking taylor expansion of (* (sqrt 0.25) J) in J
13.728 * [taylor]: Taking taylor expansion of (sqrt 0.25) in J
13.728 * [taylor]: Taking taylor expansion of 0.25 in J
13.728 * [backup-simplify]: Simplify 0.25 into 0.25
13.729 * [backup-simplify]: Simplify (sqrt 0.25) into (sqrt 0.25)
13.730 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.25))) into 0
13.730 * [taylor]: Taking taylor expansion of J in J
13.730 * [backup-simplify]: Simplify 0 into 0
13.730 * [backup-simplify]: Simplify 1 into 1
13.730 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
13.730 * [backup-simplify]: Simplify (* (sin (/ -0.5 K)) 0) into 0
13.731 * [backup-simplify]: Simplify (- 0) into 0
13.731 * [backup-simplify]: Simplify (+ (cos (/ -0.5 K)) 0) into (cos (/ -0.5 K))
13.731 * [backup-simplify]: Simplify (* (sqrt 0.25) 0) into 0
13.734 * [backup-simplify]: Simplify (+ (* (sqrt 0.25) 1) (* 0 0)) into (sqrt 0.25)
13.734 * [backup-simplify]: Simplify (/ (cos (/ -0.5 K)) (sqrt 0.25)) into (/ (cos (/ -0.5 K)) (sqrt 0.25))
13.735 * [backup-simplify]: Simplify (+ 0) into 0
13.735 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 1)) into 0
13.735 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)))) into 0
13.736 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.737 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (* 0 0)) into 0
13.737 * [backup-simplify]: Simplify (- 0) into 0
13.738 * [backup-simplify]: Simplify (+ 0 0) into 0
13.739 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.25))) into 0
13.740 * [backup-simplify]: Simplify (+ (* (sqrt 0.25) 0) (+ (* 0 1) (* 0 0))) into 0
13.742 * [backup-simplify]: Simplify (- (/ 0 (sqrt 0.25)) (+ (* (/ (cos (/ -0.5 K)) (sqrt 0.25)) (/ 0 (sqrt 0.25))))) into 0
13.743 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ (cos (/ -0.5 K)) (sqrt 0.25)))) into 0
13.743 * [backup-simplify]: Simplify 0 into 0
13.743 * [taylor]: Taking taylor expansion of 0 in J
13.743 * [backup-simplify]: Simplify 0 into 0
13.743 * [backup-simplify]: Simplify 0 into 0
13.744 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.25))) into 0
13.745 * [backup-simplify]: Simplify (+ (* (sqrt 0.25) 0) (+ (* 0 0) (* 0 J))) into 0
13.746 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -0.5 K))) (+ (* (/ (* (sqrt 0.25) J) (cos (/ -0.5 K))) (/ 0 (cos (/ -0.5 K)))) (* 0 (/ 0 (cos (/ -0.5 K)))))) into 0
13.746 * [taylor]: Taking taylor expansion of 0 in J
13.746 * [backup-simplify]: Simplify 0 into 0
13.746 * [backup-simplify]: Simplify 0 into 0
13.746 * [backup-simplify]: Simplify 0 into 0
13.746 * [backup-simplify]: Simplify 0 into 0
13.747 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.25))) into 0
13.748 * [backup-simplify]: Simplify (+ (* (sqrt 0.25) 0) (+ (* 0 1) (* 0 0))) into 0
13.749 * [backup-simplify]: Simplify (+ 0) into 0
13.749 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 1)) into 0
13.750 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)))) into 0
13.750 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.751 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (* 0 0)) into 0
13.752 * [backup-simplify]: Simplify (- 0) into 0
13.752 * [backup-simplify]: Simplify (+ 0 0) into 0
13.753 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -0.5 K))) (+ (* (/ (sqrt 0.25) (cos (/ -0.5 K))) (/ 0 (cos (/ -0.5 K)))))) into 0
13.753 * [backup-simplify]: Simplify 0 into 0
13.754 * [backup-simplify]: Simplify (* (/ (sqrt 0.25) (cos (/ -0.5 (/ 1 (- K))))) (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U)))))) into (/ (* (sqrt 0.25) U) (* (cos (* 0.5 K)) J))
13.754 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1)
13.755 * [backup-simplify]: Simplify (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) into (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0))
13.755 * [approximate]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0)) in (U K J) around 0
13.755 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0)) in J
13.755 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0) in J
13.755 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) in J
13.755 * [taylor]: Taking taylor expansion of 0.25 in J
13.755 * [backup-simplify]: Simplify 0.25 into 0.25
13.755 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2))) in J
13.755 * [taylor]: Taking taylor expansion of (pow U 2) in J
13.755 * [taylor]: Taking taylor expansion of U in J
13.755 * [backup-simplify]: Simplify U into U
13.755 * [taylor]: Taking taylor expansion of (* (pow J 2) (pow (cos (* 0.5 K)) 2)) in J
13.755 * [taylor]: Taking taylor expansion of (pow J 2) in J
13.755 * [taylor]: Taking taylor expansion of J in J
13.755 * [backup-simplify]: Simplify 0 into 0
13.755 * [backup-simplify]: Simplify 1 into 1
13.755 * [taylor]: Taking taylor expansion of (pow (cos (* 0.5 K)) 2) in J
13.755 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in J
13.755 * [taylor]: Taking taylor expansion of (* 0.5 K) in J
13.755 * [taylor]: Taking taylor expansion of 0.5 in J
13.755 * [backup-simplify]: Simplify 0.5 into 0.5
13.755 * [taylor]: Taking taylor expansion of K in J
13.755 * [backup-simplify]: Simplify K into K
13.755 * [backup-simplify]: Simplify (* 0.5 K) into (* 0.5 K)
13.756 * [backup-simplify]: Simplify (cos (* 0.5 K)) into (cos (* 0.5 K))
13.756 * [backup-simplify]: Simplify (sin (* 0.5 K)) into (sin (* 0.5 K))
13.756 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) 1) into (cos (* 0.5 K))
13.756 * [backup-simplify]: Simplify (* (sin (* 0.5 K)) 0) into 0
13.757 * [backup-simplify]: Simplify (- 0) into 0
13.757 * [backup-simplify]: Simplify (+ (cos (* 0.5 K)) 0) into (cos (* 0.5 K))
13.757 * [backup-simplify]: Simplify (* U U) into (pow U 2)
13.757 * [backup-simplify]: Simplify (* 1 1) into 1
13.757 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) (cos (* 0.5 K))) into (pow (cos (* 0.5 K)) 2)
13.758 * [backup-simplify]: Simplify (* 1 (pow (cos (* 0.5 K)) 2)) into (pow (cos (* 0.5 K)) 2)
13.758 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 0.5 K)) 2)) into (/ (pow U 2) (pow (cos (* 0.5 K)) 2))
13.758 * [taylor]: Taking taylor expansion of 1.0 in J
13.758 * [backup-simplify]: Simplify 1.0 into 1.0
13.759 * [backup-simplify]: Simplify (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2))) into (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2)))
13.759 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2))) 0) into (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2)))
13.759 * [backup-simplify]: Simplify (sqrt (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2)))) into (/ (* (sqrt 0.25) U) (cos (* 0.5 K)))
13.760 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
13.760 * [backup-simplify]: Simplify (+ 0) into 0
13.761 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (* 0 1)) into 0
13.763 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 K)) into 0
13.764 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.765 * [backup-simplify]: Simplify (+ (* (sin (* 0.5 K)) 0) (* 0 0)) into 0
13.765 * [backup-simplify]: Simplify (- 0) into 0
13.766 * [backup-simplify]: Simplify (+ 0 0) into 0
13.766 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (* 0 (cos (* 0.5 K)))) into 0
13.767 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.767 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (* 0.5 K)) 2))) into 0
13.768 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 0.5 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 0.5 K)) 2)) (/ 0 (pow (cos (* 0.5 K)) 2))))) into 0
13.769 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow U 2) (pow (cos (* 0.5 K)) 2)))) into 0
13.769 * [backup-simplify]: Simplify (+ 0 0) into 0
13.770 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2)))))) into 0
13.770 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0)) in K
13.770 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0) in K
13.770 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) in K
13.770 * [taylor]: Taking taylor expansion of 0.25 in K
13.770 * [backup-simplify]: Simplify 0.25 into 0.25
13.770 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2))) in K
13.770 * [taylor]: Taking taylor expansion of (pow U 2) in K
13.770 * [taylor]: Taking taylor expansion of U in K
13.770 * [backup-simplify]: Simplify U into U
13.770 * [taylor]: Taking taylor expansion of (* (pow J 2) (pow (cos (* 0.5 K)) 2)) in K
13.770 * [taylor]: Taking taylor expansion of (pow J 2) in K
13.770 * [taylor]: Taking taylor expansion of J in K
13.770 * [backup-simplify]: Simplify J into J
13.770 * [taylor]: Taking taylor expansion of (pow (cos (* 0.5 K)) 2) in K
13.770 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in K
13.770 * [taylor]: Taking taylor expansion of (* 0.5 K) in K
13.770 * [taylor]: Taking taylor expansion of 0.5 in K
13.770 * [backup-simplify]: Simplify 0.5 into 0.5
13.770 * [taylor]: Taking taylor expansion of K in K
13.770 * [backup-simplify]: Simplify 0 into 0
13.770 * [backup-simplify]: Simplify 1 into 1
13.771 * [backup-simplify]: Simplify (* 0.5 0) into 0
13.773 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5
13.773 * [backup-simplify]: Simplify (* U U) into (pow U 2)
13.773 * [backup-simplify]: Simplify (* J J) into (pow J 2)
13.773 * [backup-simplify]: Simplify (* 1 1) into 1
13.773 * [backup-simplify]: Simplify (* (pow J 2) 1) into (pow J 2)
13.774 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
13.774 * [taylor]: Taking taylor expansion of 1.0 in K
13.774 * [backup-simplify]: Simplify 1.0 into 1.0
13.774 * [backup-simplify]: Simplify (* 0.25 (/ (pow U 2) (pow J 2))) into (* 0.25 (/ (pow U 2) (pow J 2)))
13.774 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow U 2) (pow J 2))) 1.0) into (+ (* 0.25 (/ (pow U 2) (pow J 2))) 1.0)
13.775 * [backup-simplify]: Simplify (sqrt (+ (* 0.25 (/ (pow U 2) (pow J 2))) 1.0)) into (sqrt (+ (* 0.25 (/ (pow U 2) (pow J 2))) 1.0))
13.775 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
13.775 * [backup-simplify]: Simplify (+ 0) into 0
13.776 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.776 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
13.777 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (* 0 1)) into 0
13.777 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
13.778 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
13.779 * [backup-simplify]: Simplify (+ 0 0) into 0
13.779 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 0.25 (/ (pow U 2) (pow J 2))) 1.0)))) into 0
13.779 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0)) in U
13.779 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0) in U
13.779 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) in U
13.779 * [taylor]: Taking taylor expansion of 0.25 in U
13.779 * [backup-simplify]: Simplify 0.25 into 0.25
13.779 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2))) in U
13.779 * [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 * [taylor]: Taking taylor expansion of (* (pow J 2) (pow (cos (* 0.5 K)) 2)) in U
13.780 * [taylor]: Taking taylor expansion of (pow J 2) in U
13.780 * [taylor]: Taking taylor expansion of J in U
13.780 * [backup-simplify]: Simplify J into J
13.780 * [taylor]: Taking taylor expansion of (pow (cos (* 0.5 K)) 2) in U
13.780 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in U
13.780 * [taylor]: Taking taylor expansion of (* 0.5 K) in U
13.780 * [taylor]: Taking taylor expansion of 0.5 in U
13.780 * [backup-simplify]: Simplify 0.5 into 0.5
13.780 * [taylor]: Taking taylor expansion of K in U
13.780 * [backup-simplify]: Simplify K into K
13.780 * [backup-simplify]: Simplify (* 0.5 K) into (* 0.5 K)
13.780 * [backup-simplify]: Simplify (cos (* 0.5 K)) into (cos (* 0.5 K))
13.780 * [backup-simplify]: Simplify (sin (* 0.5 K)) into (sin (* 0.5 K))
13.780 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) 1) into (cos (* 0.5 K))
13.780 * [backup-simplify]: Simplify (* (sin (* 0.5 K)) 0) into 0
13.781 * [backup-simplify]: Simplify (- 0) into 0
13.781 * [backup-simplify]: Simplify (+ (cos (* 0.5 K)) 0) into (cos (* 0.5 K))
13.781 * [backup-simplify]: Simplify (* 1 1) into 1
13.781 * [backup-simplify]: Simplify (* J J) into (pow J 2)
13.782 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) (cos (* 0.5 K))) into (pow (cos (* 0.5 K)) 2)
13.782 * [backup-simplify]: Simplify (* (pow J 2) (pow (cos (* 0.5 K)) 2)) into (* (pow J 2) (pow (cos (* 0.5 K)) 2))
13.782 * [backup-simplify]: Simplify (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2))) into (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2)))
13.782 * [taylor]: Taking taylor expansion of 1.0 in U
13.782 * [backup-simplify]: Simplify 1.0 into 1.0
13.783 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
13.783 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
13.784 * [backup-simplify]: Simplify (+ 0 0) into 0
13.784 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
13.784 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0)) in U
13.784 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0) in U
13.784 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) in U
13.785 * [taylor]: Taking taylor expansion of 0.25 in U
13.785 * [backup-simplify]: Simplify 0.25 into 0.25
13.785 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2))) in U
13.785 * [taylor]: Taking taylor expansion of (pow U 2) in U
13.785 * [taylor]: Taking taylor expansion of U in U
13.785 * [backup-simplify]: Simplify 0 into 0
13.785 * [backup-simplify]: Simplify 1 into 1
13.785 * [taylor]: Taking taylor expansion of (* (pow J 2) (pow (cos (* 0.5 K)) 2)) in U
13.785 * [taylor]: Taking taylor expansion of (pow J 2) in U
13.785 * [taylor]: Taking taylor expansion of J in U
13.785 * [backup-simplify]: Simplify J into J
13.785 * [taylor]: Taking taylor expansion of (pow (cos (* 0.5 K)) 2) in U
13.785 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in U
13.785 * [taylor]: Taking taylor expansion of (* 0.5 K) in U
13.785 * [taylor]: Taking taylor expansion of 0.5 in U
13.785 * [backup-simplify]: Simplify 0.5 into 0.5
13.785 * [taylor]: Taking taylor expansion of K in U
13.785 * [backup-simplify]: Simplify K into K
13.785 * [backup-simplify]: Simplify (* 0.5 K) into (* 0.5 K)
13.785 * [backup-simplify]: Simplify (cos (* 0.5 K)) into (cos (* 0.5 K))
13.785 * [backup-simplify]: Simplify (sin (* 0.5 K)) into (sin (* 0.5 K))
13.785 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) 1) into (cos (* 0.5 K))
13.786 * [backup-simplify]: Simplify (* (sin (* 0.5 K)) 0) into 0
13.786 * [backup-simplify]: Simplify (- 0) into 0
13.786 * [backup-simplify]: Simplify (+ (cos (* 0.5 K)) 0) into (cos (* 0.5 K))
13.786 * [backup-simplify]: Simplify (* 1 1) into 1
13.787 * [backup-simplify]: Simplify (* J J) into (pow J 2)
13.787 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) (cos (* 0.5 K))) into (pow (cos (* 0.5 K)) 2)
13.787 * [backup-simplify]: Simplify (* (pow J 2) (pow (cos (* 0.5 K)) 2)) into (* (pow J 2) (pow (cos (* 0.5 K)) 2))
13.787 * [backup-simplify]: Simplify (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2))) into (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2)))
13.787 * [taylor]: Taking taylor expansion of 1.0 in U
13.788 * [backup-simplify]: Simplify 1.0 into 1.0
13.788 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
13.788 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
13.789 * [backup-simplify]: Simplify (+ 0 0) into 0
13.789 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
13.789 * [taylor]: Taking taylor expansion of (sqrt 1.0) in K
13.789 * [taylor]: Taking taylor expansion of 1.0 in K
13.789 * [backup-simplify]: Simplify 1.0 into 1.0
13.789 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
13.790 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
13.790 * [taylor]: Taking taylor expansion of (sqrt 1.0) in J
13.790 * [taylor]: Taking taylor expansion of 1.0 in J
13.790 * [backup-simplify]: Simplify 1.0 into 1.0
13.790 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
13.791 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
13.791 * [taylor]: Taking taylor expansion of 0 in K
13.791 * [backup-simplify]: Simplify 0 into 0
13.791 * [taylor]: Taking taylor expansion of 0 in J
13.791 * [backup-simplify]: Simplify 0 into 0
13.791 * [taylor]: Taking taylor expansion of 0 in J
13.791 * [backup-simplify]: Simplify 0 into 0
13.791 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
13.791 * [backup-simplify]: Simplify (* 0.25 (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) into (/ 0.25 (* (pow J 2) (pow (cos (* 0.5 K)) 2)))
13.791 * [backup-simplify]: Simplify (+ (/ 0.25 (* (pow J 2) (pow (cos (* 0.5 K)) 2))) 0) into (* 0.25 (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2))))
13.793 * [backup-simplify]: Simplify (/ (- (* 0.25 (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ 0.125 (* (sqrt 1.0) (* (pow J 2) (pow (cos (* 0.5 K)) 2))))
13.793 * [taylor]: Taking taylor expansion of (/ 0.125 (* (sqrt 1.0) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) in K
13.793 * [taylor]: Taking taylor expansion of 0.125 in K
13.793 * [backup-simplify]: Simplify 0.125 into 0.125
13.793 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (* (pow J 2) (pow (cos (* 0.5 K)) 2))) in K
13.793 * [taylor]: Taking taylor expansion of (sqrt 1.0) in K
13.793 * [taylor]: Taking taylor expansion of 1.0 in K
13.793 * [backup-simplify]: Simplify 1.0 into 1.0
13.793 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
13.794 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
13.794 * [taylor]: Taking taylor expansion of (* (pow J 2) (pow (cos (* 0.5 K)) 2)) in K
13.794 * [taylor]: Taking taylor expansion of (pow J 2) in K
13.794 * [taylor]: Taking taylor expansion of J in K
13.794 * [backup-simplify]: Simplify J into J
13.794 * [taylor]: Taking taylor expansion of (pow (cos (* 0.5 K)) 2) in K
13.794 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in K
13.794 * [taylor]: Taking taylor expansion of (* 0.5 K) in K
13.794 * [taylor]: Taking taylor expansion of 0.5 in K
13.794 * [backup-simplify]: Simplify 0.5 into 0.5
13.794 * [taylor]: Taking taylor expansion of K in K
13.794 * [backup-simplify]: Simplify 0 into 0
13.794 * [backup-simplify]: Simplify 1 into 1
13.794 * [backup-simplify]: Simplify (* 0.5 0) into 0
13.795 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5
13.795 * [backup-simplify]: Simplify (* J J) into (pow J 2)
13.795 * [backup-simplify]: Simplify (* 1 1) into 1
13.795 * [backup-simplify]: Simplify (* (pow J 2) 1) into (pow J 2)
13.796 * [backup-simplify]: Simplify (* (sqrt 1.0) (pow J 2)) into (* (sqrt 1.0) (pow J 2))
13.796 * [backup-simplify]: Simplify (/ 0.125 (* (sqrt 1.0) (pow J 2))) into (/ 0.125 (* (sqrt 1.0) (pow J 2)))
13.796 * [taylor]: Taking taylor expansion of (/ 0.125 (* (sqrt 1.0) (pow J 2))) in J
13.796 * [taylor]: Taking taylor expansion of 0.125 in J
13.796 * [backup-simplify]: Simplify 0.125 into 0.125
13.796 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (pow J 2)) in J
13.796 * [taylor]: Taking taylor expansion of (sqrt 1.0) in J
13.796 * [taylor]: Taking taylor expansion of 1.0 in J
13.796 * [backup-simplify]: Simplify 1.0 into 1.0
13.796 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
13.797 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
13.797 * [taylor]: Taking taylor expansion of (pow J 2) in J
13.797 * [taylor]: Taking taylor expansion of J in J
13.797 * [backup-simplify]: Simplify 0 into 0
13.797 * [backup-simplify]: Simplify 1 into 1
13.797 * [backup-simplify]: Simplify (* 1 1) into 1
13.798 * [backup-simplify]: Simplify (* (sqrt 1.0) 1) into (sqrt 1.0)
13.798 * [backup-simplify]: Simplify (/ 0.125 (sqrt 1.0)) into (/ 0.125 (sqrt 1.0))
13.799 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.799 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 1)) into 0
13.800 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ 0.125 (sqrt 1.0)) (/ 0 (sqrt 1.0))))) into 0
13.800 * [backup-simplify]: Simplify 0 into 0
13.800 * [taylor]: Taking taylor expansion of 0 in J
13.800 * [backup-simplify]: Simplify 0 into 0
13.801 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
13.801 * [taylor]: Taking taylor expansion of 0 in J
13.801 * [backup-simplify]: Simplify 0 into 0
13.801 * [backup-simplify]: Simplify 0 into 0
13.801 * [backup-simplify]: Simplify 0 into 0
13.801 * [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
13.802 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (* 0 1)) into 0
13.802 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 K)) into 0
13.803 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.803 * [backup-simplify]: Simplify (+ (* (sin (* 0.5 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 (* 0.5 K)) 0) (* 0 (cos (* 0.5 K)))) into 0
13.804 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
13.804 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (* 0 (pow (cos (* 0.5 K)) 2))) into 0
13.804 * [backup-simplify]: Simplify (- (/ 0 (* (pow J 2) (pow (cos (* 0.5 K)) 2))) (+ (* (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2))) (/ 0 (* (pow J 2) (pow (cos (* 0.5 K)) 2)))))) into 0
13.805 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2))))) into 0
13.805 * [backup-simplify]: Simplify (+ 0 0) into 0
13.806 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.125 (* (sqrt 1.0) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))))))) (* 2 (sqrt 1.0))) into 0
13.806 * [taylor]: Taking taylor expansion of 0 in K
13.806 * [backup-simplify]: Simplify 0 into 0
13.806 * [taylor]: Taking taylor expansion of 0 in J
13.806 * [backup-simplify]: Simplify 0 into 0
13.806 * [backup-simplify]: Simplify (+ 0) into 0
13.807 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.807 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
13.807 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (* 0 1)) into 0
13.808 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (pow J 2))) into 0
13.809 * [backup-simplify]: Simplify (- (/ 0 (* (sqrt 1.0) (pow J 2))) (+ (* (/ 0.125 (* (sqrt 1.0) (pow J 2))) (/ 0 (* (sqrt 1.0) (pow J 2)))))) into 0
13.809 * [taylor]: Taking taylor expansion of 0 in J
13.809 * [backup-simplify]: Simplify 0 into 0
13.809 * [taylor]: Taking taylor expansion of 0 in J
13.809 * [backup-simplify]: Simplify 0 into 0
13.810 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0
13.810 * [taylor]: Taking taylor expansion of 0 in J
13.810 * [backup-simplify]: Simplify 0 into 0
13.810 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.811 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
13.812 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* 0 1))) into 0
13.812 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ 0.125 (sqrt 1.0)) (/ 0 (sqrt 1.0))) (* 0 (/ 0 (sqrt 1.0))))) into 0
13.812 * [backup-simplify]: Simplify 0 into 0
13.812 * [backup-simplify]: Simplify 0 into 0
13.813 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
13.813 * [backup-simplify]: Simplify (sqrt (+ 1.0 (pow (/ (/ 1 U) (* (cos (/ (/ 1 K) 2.0)) (* 2.0 (/ 1 J)))) 2.0))) into (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0))
13.813 * [approximate]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) in (U K J) around 0
13.813 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) in J
13.813 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0) in J
13.813 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) in J
13.813 * [taylor]: Taking taylor expansion of 0.25 in J
13.813 * [backup-simplify]: Simplify 0.25 into 0.25
13.813 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))) in J
13.813 * [taylor]: Taking taylor expansion of (pow J 2) in J
13.813 * [taylor]: Taking taylor expansion of J in J
13.813 * [backup-simplify]: Simplify 0 into 0
13.813 * [backup-simplify]: Simplify 1 into 1
13.813 * [taylor]: Taking taylor expansion of (* (pow (cos (/ 0.5 K)) 2) (pow U 2)) in J
13.813 * [taylor]: Taking taylor expansion of (pow (cos (/ 0.5 K)) 2) in J
13.813 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in J
13.813 * [taylor]: Taking taylor expansion of (/ 0.5 K) in J
13.813 * [taylor]: Taking taylor expansion of 0.5 in J
13.813 * [backup-simplify]: Simplify 0.5 into 0.5
13.813 * [taylor]: Taking taylor expansion of K in J
13.813 * [backup-simplify]: Simplify K into K
13.814 * [backup-simplify]: Simplify (/ 0.5 K) into (/ 0.5 K)
13.814 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
13.814 * [backup-simplify]: Simplify (sin (/ 0.5 K)) into (sin (/ 0.5 K))
13.814 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
13.814 * [backup-simplify]: Simplify (* (sin (/ 0.5 K)) 0) into 0
13.814 * [backup-simplify]: Simplify (- 0) into 0
13.814 * [backup-simplify]: Simplify (+ (cos (/ 0.5 K)) 0) into (cos (/ 0.5 K))
13.814 * [taylor]: Taking taylor expansion of (pow U 2) in J
13.814 * [taylor]: Taking taylor expansion of U in J
13.814 * [backup-simplify]: Simplify U into U
13.814 * [backup-simplify]: Simplify (* 1 1) into 1
13.815 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) (cos (/ 0.5 K))) into (pow (cos (/ 0.5 K)) 2)
13.815 * [backup-simplify]: Simplify (* U U) into (pow U 2)
13.815 * [backup-simplify]: Simplify (* (pow (cos (/ 0.5 K)) 2) (pow U 2)) into (* (pow U 2) (pow (cos (/ 0.5 K)) 2))
13.815 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 0.5 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 0.5 K)) 2)))
13.815 * [taylor]: Taking taylor expansion of 1.0 in J
13.815 * [backup-simplify]: Simplify 1.0 into 1.0
13.815 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
13.816 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
13.816 * [backup-simplify]: Simplify (+ 0 0) into 0
13.817 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
13.817 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) in K
13.817 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0) in K
13.817 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) in K
13.817 * [taylor]: Taking taylor expansion of 0.25 in K
13.817 * [backup-simplify]: Simplify 0.25 into 0.25
13.817 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))) in K
13.817 * [taylor]: Taking taylor expansion of (pow J 2) in K
13.817 * [taylor]: Taking taylor expansion of J in K
13.817 * [backup-simplify]: Simplify J into J
13.817 * [taylor]: Taking taylor expansion of (* (pow (cos (/ 0.5 K)) 2) (pow U 2)) in K
13.817 * [taylor]: Taking taylor expansion of (pow (cos (/ 0.5 K)) 2) in K
13.817 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in K
13.817 * [taylor]: Taking taylor expansion of (/ 0.5 K) in K
13.817 * [taylor]: Taking taylor expansion of 0.5 in K
13.817 * [backup-simplify]: Simplify 0.5 into 0.5
13.817 * [taylor]: Taking taylor expansion of K in K
13.817 * [backup-simplify]: Simplify 0 into 0
13.817 * [backup-simplify]: Simplify 1 into 1
13.818 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5
13.818 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
13.818 * [taylor]: Taking taylor expansion of (pow U 2) in K
13.818 * [taylor]: Taking taylor expansion of U in K
13.818 * [backup-simplify]: Simplify U into U
13.818 * [backup-simplify]: Simplify (* J J) into (pow J 2)
13.818 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) (cos (/ 0.5 K))) into (pow (cos (/ 0.5 K)) 2)
13.818 * [backup-simplify]: Simplify (* U U) into (pow U 2)
13.819 * [backup-simplify]: Simplify (* (pow (cos (/ 0.5 K)) 2) (pow U 2)) into (* (pow U 2) (pow (cos (/ 0.5 K)) 2))
13.819 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 0.5 K)) 2))) into (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))
13.819 * [taylor]: Taking taylor expansion of 1.0 in K
13.819 * [backup-simplify]: Simplify 1.0 into 1.0
13.819 * [backup-simplify]: Simplify (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) into (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))))
13.820 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0) into (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)
13.821 * [backup-simplify]: Simplify (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) into (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0))
13.821 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
13.821 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
13.821 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 (cos (/ 0.5 K)))) into 0
13.821 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 0.5 K)) 2) 0) (* 0 (pow U 2))) into 0
13.823 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 0.5 K)) 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))) (/ 0 (* (pow U 2) (pow (cos (/ 0.5 K)) 2)))))) into 0
13.824 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))))) into 0
13.824 * [backup-simplify]: Simplify (+ 0 0) into 0
13.825 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)))) into 0
13.825 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) in U
13.825 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0) in U
13.825 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) in U
13.825 * [taylor]: Taking taylor expansion of 0.25 in U
13.825 * [backup-simplify]: Simplify 0.25 into 0.25
13.825 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))) in U
13.825 * [taylor]: Taking taylor expansion of (pow J 2) in U
13.825 * [taylor]: Taking taylor expansion of J in U
13.825 * [backup-simplify]: Simplify J into J
13.825 * [taylor]: Taking taylor expansion of (* (pow (cos (/ 0.5 K)) 2) (pow U 2)) in U
13.825 * [taylor]: Taking taylor expansion of (pow (cos (/ 0.5 K)) 2) in U
13.825 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in U
13.825 * [taylor]: Taking taylor expansion of (/ 0.5 K) in U
13.825 * [taylor]: Taking taylor expansion of 0.5 in U
13.825 * [backup-simplify]: Simplify 0.5 into 0.5
13.825 * [taylor]: Taking taylor expansion of K in U
13.825 * [backup-simplify]: Simplify K into K
13.825 * [backup-simplify]: Simplify (/ 0.5 K) into (/ 0.5 K)
13.826 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
13.826 * [backup-simplify]: Simplify (sin (/ 0.5 K)) into (sin (/ 0.5 K))
13.826 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
13.826 * [backup-simplify]: Simplify (* (sin (/ 0.5 K)) 0) into 0
13.826 * [backup-simplify]: Simplify (- 0) into 0
13.826 * [backup-simplify]: Simplify (+ (cos (/ 0.5 K)) 0) into (cos (/ 0.5 K))
13.827 * [taylor]: Taking taylor expansion of (pow U 2) in U
13.827 * [taylor]: Taking taylor expansion of U in U
13.827 * [backup-simplify]: Simplify 0 into 0
13.827 * [backup-simplify]: Simplify 1 into 1
13.827 * [backup-simplify]: Simplify (* J J) into (pow J 2)
13.827 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) (cos (/ 0.5 K))) into (pow (cos (/ 0.5 K)) 2)
13.827 * [backup-simplify]: Simplify (* 1 1) into 1
13.828 * [backup-simplify]: Simplify (* (pow (cos (/ 0.5 K)) 2) 1) into (pow (cos (/ 0.5 K)) 2)
13.828 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)) into (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))
13.828 * [taylor]: Taking taylor expansion of 1.0 in U
13.828 * [backup-simplify]: Simplify 1.0 into 1.0
13.828 * [backup-simplify]: Simplify (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))) into (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))
13.829 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))) 0) into (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))
13.829 * [backup-simplify]: Simplify (sqrt (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) into (/ (* (sqrt 0.25) J) (cos (/ 0.5 K)))
13.829 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
13.830 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.830 * [backup-simplify]: Simplify (+ 0) into 0
13.831 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 1)) into 0
13.831 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)))) into 0
13.832 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.833 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (* 0 0)) into 0
13.833 * [backup-simplify]: Simplify (- 0) into 0
13.833 * [backup-simplify]: Simplify (+ 0 0) into 0
13.834 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 (cos (/ 0.5 K)))) into 0
13.834 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 0.5 K)) 2) 0) (* 0 1)) into 0
13.835 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 0.5 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)) (/ 0 (pow (cos (/ 0.5 K)) 2))))) into 0
13.836 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) into 0
13.836 * [backup-simplify]: Simplify (+ 0 0) into 0
13.837 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))))) into 0
13.837 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) in U
13.837 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0) in U
13.837 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) in U
13.837 * [taylor]: Taking taylor expansion of 0.25 in U
13.837 * [backup-simplify]: Simplify 0.25 into 0.25
13.837 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))) in U
13.837 * [taylor]: Taking taylor expansion of (pow J 2) in U
13.837 * [taylor]: Taking taylor expansion of J in U
13.837 * [backup-simplify]: Simplify J into J
13.837 * [taylor]: Taking taylor expansion of (* (pow (cos (/ 0.5 K)) 2) (pow U 2)) in U
13.837 * [taylor]: Taking taylor expansion of (pow (cos (/ 0.5 K)) 2) in U
13.837 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in U
13.837 * [taylor]: Taking taylor expansion of (/ 0.5 K) in U
13.837 * [taylor]: Taking taylor expansion of 0.5 in U
13.837 * [backup-simplify]: Simplify 0.5 into 0.5
13.837 * [taylor]: Taking taylor expansion of K in U
13.837 * [backup-simplify]: Simplify K into K
13.837 * [backup-simplify]: Simplify (/ 0.5 K) into (/ 0.5 K)
13.838 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
13.838 * [backup-simplify]: Simplify (sin (/ 0.5 K)) into (sin (/ 0.5 K))
13.838 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
13.838 * [backup-simplify]: Simplify (* (sin (/ 0.5 K)) 0) into 0
13.838 * [backup-simplify]: Simplify (- 0) into 0
13.838 * [backup-simplify]: Simplify (+ (cos (/ 0.5 K)) 0) into (cos (/ 0.5 K))
13.838 * [taylor]: Taking taylor expansion of (pow U 2) in U
13.838 * [taylor]: Taking taylor expansion of U in U
13.839 * [backup-simplify]: Simplify 0 into 0
13.839 * [backup-simplify]: Simplify 1 into 1
13.839 * [backup-simplify]: Simplify (* J J) into (pow J 2)
13.839 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) (cos (/ 0.5 K))) into (pow (cos (/ 0.5 K)) 2)
13.839 * [backup-simplify]: Simplify (* 1 1) into 1
13.839 * [backup-simplify]: Simplify (* (pow (cos (/ 0.5 K)) 2) 1) into (pow (cos (/ 0.5 K)) 2)
13.840 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)) into (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))
13.840 * [taylor]: Taking taylor expansion of 1.0 in U
13.840 * [backup-simplify]: Simplify 1.0 into 1.0
13.840 * [backup-simplify]: Simplify (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))) into (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))
13.841 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))) 0) into (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))
13.841 * [backup-simplify]: Simplify (sqrt (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) into (/ (* (sqrt 0.25) J) (cos (/ 0.5 K)))
13.841 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
13.842 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.842 * [backup-simplify]: Simplify (+ 0) into 0
13.843 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 1)) into 0
13.843 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)))) into 0
13.844 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.844 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (* 0 0)) into 0
13.844 * [backup-simplify]: Simplify (- 0) into 0
13.845 * [backup-simplify]: Simplify (+ 0 0) into 0
13.845 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 (cos (/ 0.5 K)))) into 0
13.845 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 0.5 K)) 2) 0) (* 0 1)) into 0
13.846 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 0.5 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)) (/ 0 (pow (cos (/ 0.5 K)) 2))))) into 0
13.846 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) into 0
13.846 * [backup-simplify]: Simplify (+ 0 0) into 0
13.847 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))))) into 0
13.847 * [taylor]: Taking taylor expansion of (/ (* (sqrt 0.25) J) (cos (/ 0.5 K))) in K
13.847 * [taylor]: Taking taylor expansion of (* (sqrt 0.25) J) in K
13.847 * [taylor]: Taking taylor expansion of (sqrt 0.25) in K
13.847 * [taylor]: Taking taylor expansion of 0.25 in K
13.847 * [backup-simplify]: Simplify 0.25 into 0.25
13.847 * [backup-simplify]: Simplify (sqrt 0.25) into (sqrt 0.25)
13.847 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.25))) into 0
13.847 * [taylor]: Taking taylor expansion of J in K
13.847 * [backup-simplify]: Simplify J into J
13.847 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in K
13.847 * [taylor]: Taking taylor expansion of (/ 0.5 K) in K
13.847 * [taylor]: Taking taylor expansion of 0.5 in K
13.847 * [backup-simplify]: Simplify 0.5 into 0.5
13.847 * [taylor]: Taking taylor expansion of K in K
13.848 * [backup-simplify]: Simplify 0 into 0
13.848 * [backup-simplify]: Simplify 1 into 1
13.848 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5
13.848 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
13.848 * [backup-simplify]: Simplify (* (sqrt 0.25) J) into (* (sqrt 0.25) J)
13.848 * [backup-simplify]: Simplify (/ (* (sqrt 0.25) J) (cos (/ 0.5 K))) into (/ (* (sqrt 0.25) J) (cos (/ 0.5 K)))
13.849 * [taylor]: Taking taylor expansion of (/ (* (sqrt 0.25) J) (cos (/ 0.5 K))) in J
13.849 * [taylor]: Taking taylor expansion of (* (sqrt 0.25) J) in J
13.849 * [taylor]: Taking taylor expansion of (sqrt 0.25) in J
13.849 * [taylor]: Taking taylor expansion of 0.25 in J
13.849 * [backup-simplify]: Simplify 0.25 into 0.25
13.849 * [backup-simplify]: Simplify (sqrt 0.25) into (sqrt 0.25)
13.849 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.25))) into 0
13.849 * [taylor]: Taking taylor expansion of J in J
13.849 * [backup-simplify]: Simplify 0 into 0
13.849 * [backup-simplify]: Simplify 1 into 1
13.849 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in J
13.849 * [taylor]: Taking taylor expansion of (/ 0.5 K) in J
13.849 * [taylor]: Taking taylor expansion of 0.5 in J
13.849 * [backup-simplify]: Simplify 0.5 into 0.5
13.849 * [taylor]: Taking taylor expansion of K in J
13.849 * [backup-simplify]: Simplify K into K
13.849 * [backup-simplify]: Simplify (/ 0.5 K) into (/ 0.5 K)
13.850 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
13.850 * [backup-simplify]: Simplify (sin (/ 0.5 K)) into (sin (/ 0.5 K))
13.850 * [backup-simplify]: Simplify (* (sqrt 0.25) 0) into 0
13.851 * [backup-simplify]: Simplify (+ (* (sqrt 0.25) 1) (* 0 0)) into (sqrt 0.25)
13.851 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
13.851 * [backup-simplify]: Simplify (* (sin (/ 0.5 K)) 0) into 0
13.852 * [backup-simplify]: Simplify (- 0) into 0
13.852 * [backup-simplify]: Simplify (+ (cos (/ 0.5 K)) 0) into (cos (/ 0.5 K))
13.852 * [backup-simplify]: Simplify (/ (sqrt 0.25) (cos (/ 0.5 K))) into (/ (sqrt 0.25) (cos (/ 0.5 K)))
13.852 * [taylor]: Taking taylor expansion of 0 in K
13.852 * [backup-simplify]: Simplify 0 into 0
13.852 * [taylor]: Taking taylor expansion of 0 in J
13.852 * [backup-simplify]: Simplify 0 into 0
13.852 * [backup-simplify]: Simplify 0 into 0
13.852 * [backup-simplify]: Simplify (+ (* (sqrt 0.25) 0) (* 0 J)) into 0
13.853 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 0.5 K))) (+ (* (/ (* (sqrt 0.25) J) (cos (/ 0.5 K))) (/ 0 (cos (/ 0.5 K)))))) into 0
13.853 * [taylor]: Taking taylor expansion of 0 in J
13.853 * [backup-simplify]: Simplify 0 into 0
13.853 * [backup-simplify]: Simplify 0 into 0
13.853 * [backup-simplify]: Simplify (/ (sqrt 0.25) (cos (/ 0.5 K))) into (/ (sqrt 0.25) (cos (/ 0.5 K)))
13.854 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
13.854 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.855 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
13.855 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (+ (* 0 0) (* 0 1))) into 0
13.855 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
13.856 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
13.856 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (+ (* 0 0) (* 0 0))) into 0
13.856 * [backup-simplify]: Simplify (- 0) into 0
13.857 * [backup-simplify]: Simplify (+ 0 0) into 0
13.857 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (+ (* 0 0) (* 0 (cos (/ 0.5 K))))) into 0
13.857 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 0.5 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
13.858 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 0.5 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)) (/ 0 (pow (cos (/ 0.5 K)) 2))) (* 0 (/ 0 (pow (cos (/ 0.5 K)) 2))))) into 0
13.859 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))))) into 0
13.859 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
13.860 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (/ (* (sqrt 0.25) J) (cos (/ 0.5 K))))) into (* 0.5 (/ (cos (/ 0.5 K)) (* (sqrt 0.25) J)))
13.860 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 0.5 K)) (* (sqrt 0.25) J))) in K
13.860 * [taylor]: Taking taylor expansion of 0.5 in K
13.860 * [backup-simplify]: Simplify 0.5 into 0.5
13.860 * [taylor]: Taking taylor expansion of (/ (cos (/ 0.5 K)) (* (sqrt 0.25) J)) in K
13.860 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in K
13.860 * [taylor]: Taking taylor expansion of (/ 0.5 K) in K
13.860 * [taylor]: Taking taylor expansion of 0.5 in K
13.860 * [backup-simplify]: Simplify 0.5 into 0.5
13.860 * [taylor]: Taking taylor expansion of K in K
13.861 * [backup-simplify]: Simplify 0 into 0
13.861 * [backup-simplify]: Simplify 1 into 1
13.861 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5
13.861 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
13.861 * [taylor]: Taking taylor expansion of (* (sqrt 0.25) J) in K
13.861 * [taylor]: Taking taylor expansion of (sqrt 0.25) in K
13.861 * [taylor]: Taking taylor expansion of 0.25 in K
13.861 * [backup-simplify]: Simplify 0.25 into 0.25
13.861 * [backup-simplify]: Simplify (sqrt 0.25) into (sqrt 0.25)
13.862 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.25))) into 0
13.862 * [taylor]: Taking taylor expansion of J in K
13.862 * [backup-simplify]: Simplify J into J
13.862 * [backup-simplify]: Simplify (* (sqrt 0.25) J) into (* (sqrt 0.25) J)
13.862 * [backup-simplify]: Simplify (/ (cos (/ 0.5 K)) (* (sqrt 0.25) J)) into (/ (cos (/ 0.5 K)) (* (sqrt 0.25) J))
13.863 * [backup-simplify]: Simplify (* 0.5 (/ (cos (/ 0.5 K)) (* (sqrt 0.25) J))) into (* 0.5 (/ (cos (/ 0.5 K)) (* (sqrt 0.25) J)))
13.863 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 0.5 K)) (* (sqrt 0.25) J))) in J
13.863 * [taylor]: Taking taylor expansion of 0.5 in J
13.863 * [backup-simplify]: Simplify 0.5 into 0.5
13.863 * [taylor]: Taking taylor expansion of (/ (cos (/ 0.5 K)) (* (sqrt 0.25) J)) in J
13.863 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in J
13.863 * [taylor]: Taking taylor expansion of (/ 0.5 K) in J
13.863 * [taylor]: Taking taylor expansion of 0.5 in J
13.863 * [backup-simplify]: Simplify 0.5 into 0.5
13.863 * [taylor]: Taking taylor expansion of K in J
13.863 * [backup-simplify]: Simplify K into K
13.863 * [backup-simplify]: Simplify (/ 0.5 K) into (/ 0.5 K)
13.863 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
13.863 * [backup-simplify]: Simplify (sin (/ 0.5 K)) into (sin (/ 0.5 K))
13.863 * [taylor]: Taking taylor expansion of (* (sqrt 0.25) J) in J
13.863 * [taylor]: Taking taylor expansion of (sqrt 0.25) in J
13.863 * [taylor]: Taking taylor expansion of 0.25 in J
13.863 * [backup-simplify]: Simplify 0.25 into 0.25
13.863 * [backup-simplify]: Simplify (sqrt 0.25) into (sqrt 0.25)
13.864 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.25))) into 0
13.864 * [taylor]: Taking taylor expansion of J in J
13.864 * [backup-simplify]: Simplify 0 into 0
13.864 * [backup-simplify]: Simplify 1 into 1
13.864 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
13.864 * [backup-simplify]: Simplify (* (sin (/ 0.5 K)) 0) into 0
13.864 * [backup-simplify]: Simplify (- 0) into 0
13.864 * [backup-simplify]: Simplify (+ (cos (/ 0.5 K)) 0) into (cos (/ 0.5 K))
13.865 * [backup-simplify]: Simplify (* (sqrt 0.25) 0) into 0
13.866 * [backup-simplify]: Simplify (+ (* (sqrt 0.25) 1) (* 0 0)) into (sqrt 0.25)
13.866 * [backup-simplify]: Simplify (/ (cos (/ 0.5 K)) (sqrt 0.25)) into (/ (cos (/ 0.5 K)) (sqrt 0.25))
13.866 * [backup-simplify]: Simplify (+ 0) into 0
13.867 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 1)) into 0
13.867 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)))) into 0
13.867 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.868 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (* 0 0)) into 0
13.868 * [backup-simplify]: Simplify (- 0) into 0
13.868 * [backup-simplify]: Simplify (+ 0 0) into 0
13.869 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.25))) into 0
13.869 * [backup-simplify]: Simplify (+ (* (sqrt 0.25) 0) (+ (* 0 1) (* 0 0))) into 0
13.870 * [backup-simplify]: Simplify (- (/ 0 (sqrt 0.25)) (+ (* (/ (cos (/ 0.5 K)) (sqrt 0.25)) (/ 0 (sqrt 0.25))))) into 0
13.871 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ (cos (/ 0.5 K)) (sqrt 0.25)))) into 0
13.871 * [backup-simplify]: Simplify 0 into 0
13.871 * [taylor]: Taking taylor expansion of 0 in J
13.871 * [backup-simplify]: Simplify 0 into 0
13.871 * [backup-simplify]: Simplify 0 into 0
13.872 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.25))) into 0
13.873 * [backup-simplify]: Simplify (+ (* (sqrt 0.25) 0) (+ (* 0 0) (* 0 J))) into 0
13.873 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 0.5 K))) (+ (* (/ (* (sqrt 0.25) J) (cos (/ 0.5 K))) (/ 0 (cos (/ 0.5 K)))) (* 0 (/ 0 (cos (/ 0.5 K)))))) into 0
13.873 * [taylor]: Taking taylor expansion of 0 in J
13.873 * [backup-simplify]: Simplify 0 into 0
13.873 * [backup-simplify]: Simplify 0 into 0
13.873 * [backup-simplify]: Simplify 0 into 0
13.874 * [backup-simplify]: Simplify 0 into 0
13.875 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.25))) into 0
13.876 * [backup-simplify]: Simplify (+ (* (sqrt 0.25) 0) (+ (* 0 1) (* 0 0))) into 0
13.876 * [backup-simplify]: Simplify (+ 0) into 0
13.877 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 1)) into 0
13.877 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)))) into 0
13.878 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.878 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (* 0 0)) into 0
13.879 * [backup-simplify]: Simplify (- 0) into 0
13.879 * [backup-simplify]: Simplify (+ 0 0) into 0
13.880 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 0.5 K))) (+ (* (/ (sqrt 0.25) (cos (/ 0.5 K))) (/ 0 (cos (/ 0.5 K)))))) into 0
13.880 * [backup-simplify]: Simplify 0 into 0
13.880 * [backup-simplify]: Simplify (* (/ (sqrt 0.25) (cos (/ 0.5 (/ 1 K)))) (* (/ 1 J) (* 1 (/ 1 (/ 1 U))))) into (/ (* (sqrt 0.25) U) (* (cos (* 0.5 K)) J))
13.881 * [backup-simplify]: Simplify (sqrt (+ 1.0 (pow (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2.0)) (* 2.0 (/ 1 (- J))))) 2.0))) into (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0))
13.881 * [approximate]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)) in (U K J) around 0
13.881 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)) in J
13.881 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0) in J
13.881 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) in J
13.881 * [taylor]: Taking taylor expansion of 0.25 in J
13.881 * [backup-simplify]: Simplify 0.25 into 0.25
13.881 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) in J
13.881 * [taylor]: Taking taylor expansion of (pow J 2) in J
13.881 * [taylor]: Taking taylor expansion of J in J
13.881 * [backup-simplify]: Simplify 0 into 0
13.881 * [backup-simplify]: Simplify 1 into 1
13.881 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -0.5 K)) 2) (pow U 2)) in J
13.882 * [taylor]: Taking taylor expansion of (pow (cos (/ -0.5 K)) 2) in J
13.882 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in J
13.882 * [taylor]: Taking taylor expansion of (/ -0.5 K) in J
13.882 * [taylor]: Taking taylor expansion of -0.5 in J
13.882 * [backup-simplify]: Simplify -0.5 into -0.5
13.882 * [taylor]: Taking taylor expansion of K in J
13.882 * [backup-simplify]: Simplify K into K
13.882 * [backup-simplify]: Simplify (/ -0.5 K) into (/ -0.5 K)
13.882 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
13.882 * [backup-simplify]: Simplify (sin (/ -0.5 K)) into (sin (/ -0.5 K))
13.882 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
13.882 * [backup-simplify]: Simplify (* (sin (/ -0.5 K)) 0) into 0
13.883 * [backup-simplify]: Simplify (- 0) into 0
13.883 * [backup-simplify]: Simplify (+ (cos (/ -0.5 K)) 0) into (cos (/ -0.5 K))
13.883 * [taylor]: Taking taylor expansion of (pow U 2) in J
13.883 * [taylor]: Taking taylor expansion of U in J
13.883 * [backup-simplify]: Simplify U into U
13.883 * [backup-simplify]: Simplify (* 1 1) into 1
13.883 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) (cos (/ -0.5 K))) into (pow (cos (/ -0.5 K)) 2)
13.883 * [backup-simplify]: Simplify (* U U) into (pow U 2)
13.884 * [backup-simplify]: Simplify (* (pow (cos (/ -0.5 K)) 2) (pow U 2)) into (* (pow (cos (/ -0.5 K)) 2) (pow U 2))
13.884 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))
13.884 * [taylor]: Taking taylor expansion of 1.0 in J
13.884 * [backup-simplify]: Simplify 1.0 into 1.0
13.885 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
13.885 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
13.885 * [backup-simplify]: Simplify (+ 0 0) into 0
13.886 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
13.886 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)) in K
13.886 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0) in K
13.886 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) in K
13.886 * [taylor]: Taking taylor expansion of 0.25 in K
13.886 * [backup-simplify]: Simplify 0.25 into 0.25
13.886 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) in K
13.886 * [taylor]: Taking taylor expansion of (pow J 2) in K
13.886 * [taylor]: Taking taylor expansion of J in K
13.886 * [backup-simplify]: Simplify J into J
13.886 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -0.5 K)) 2) (pow U 2)) in K
13.886 * [taylor]: Taking taylor expansion of (pow (cos (/ -0.5 K)) 2) in K
13.886 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in K
13.886 * [taylor]: Taking taylor expansion of (/ -0.5 K) in K
13.886 * [taylor]: Taking taylor expansion of -0.5 in K
13.887 * [backup-simplify]: Simplify -0.5 into -0.5
13.887 * [taylor]: Taking taylor expansion of K in K
13.887 * [backup-simplify]: Simplify 0 into 0
13.887 * [backup-simplify]: Simplify 1 into 1
13.887 * [backup-simplify]: Simplify (/ -0.5 1) into -0.5
13.887 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
13.887 * [taylor]: Taking taylor expansion of (pow U 2) in K
13.887 * [taylor]: Taking taylor expansion of U in K
13.887 * [backup-simplify]: Simplify U into U
13.887 * [backup-simplify]: Simplify (* J J) into (pow J 2)
13.888 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) (cos (/ -0.5 K))) into (pow (cos (/ -0.5 K)) 2)
13.888 * [backup-simplify]: Simplify (* U U) into (pow U 2)
13.888 * [backup-simplify]: Simplify (* (pow (cos (/ -0.5 K)) 2) (pow U 2)) into (* (pow (cos (/ -0.5 K)) 2) (pow U 2))
13.888 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))
13.888 * [taylor]: Taking taylor expansion of 1.0 in K
13.888 * [backup-simplify]: Simplify 1.0 into 1.0
13.888 * [backup-simplify]: Simplify (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) into (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))))
13.889 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0) into (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)
13.889 * [backup-simplify]: Simplify (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)) into (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0))
13.889 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
13.889 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
13.889 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 (cos (/ -0.5 K)))) into 0
13.889 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -0.5 K)) 2) 0) (* 0 (pow U 2))) into 0
13.890 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))))) into 0
13.891 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))))) into 0
13.893 * [backup-simplify]: Simplify (+ 0 0) into 0
13.893 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)))) into 0
13.893 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)) in U
13.893 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0) in U
13.893 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) in U
13.893 * [taylor]: Taking taylor expansion of 0.25 in U
13.893 * [backup-simplify]: Simplify 0.25 into 0.25
13.893 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) in U
13.893 * [taylor]: Taking taylor expansion of (pow J 2) in U
13.893 * [taylor]: Taking taylor expansion of J in U
13.893 * [backup-simplify]: Simplify J into J
13.893 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -0.5 K)) 2) (pow U 2)) in U
13.893 * [taylor]: Taking taylor expansion of (pow (cos (/ -0.5 K)) 2) in U
13.893 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in U
13.893 * [taylor]: Taking taylor expansion of (/ -0.5 K) in U
13.893 * [taylor]: Taking taylor expansion of -0.5 in U
13.893 * [backup-simplify]: Simplify -0.5 into -0.5
13.893 * [taylor]: Taking taylor expansion of K in U
13.893 * [backup-simplify]: Simplify K into K
13.893 * [backup-simplify]: Simplify (/ -0.5 K) into (/ -0.5 K)
13.893 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
13.894 * [backup-simplify]: Simplify (sin (/ -0.5 K)) into (sin (/ -0.5 K))
13.894 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
13.894 * [backup-simplify]: Simplify (* (sin (/ -0.5 K)) 0) into 0
13.894 * [backup-simplify]: Simplify (- 0) into 0
13.894 * [backup-simplify]: Simplify (+ (cos (/ -0.5 K)) 0) into (cos (/ -0.5 K))
13.894 * [taylor]: Taking taylor expansion of (pow U 2) in U
13.894 * [taylor]: Taking taylor expansion of U in U
13.894 * [backup-simplify]: Simplify 0 into 0
13.894 * [backup-simplify]: Simplify 1 into 1
13.894 * [backup-simplify]: Simplify (* J J) into (pow J 2)
13.894 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) (cos (/ -0.5 K))) into (pow (cos (/ -0.5 K)) 2)
13.895 * [backup-simplify]: Simplify (* 1 1) into 1
13.895 * [backup-simplify]: Simplify (* (pow (cos (/ -0.5 K)) 2) 1) into (pow (cos (/ -0.5 K)) 2)
13.895 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)) into (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))
13.895 * [taylor]: Taking taylor expansion of 1.0 in U
13.895 * [backup-simplify]: Simplify 1.0 into 1.0
13.895 * [backup-simplify]: Simplify (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))) into (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))
13.896 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))) 0) into (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))
13.896 * [backup-simplify]: Simplify (sqrt (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) into (/ (* (sqrt 0.25) J) (cos (/ -0.5 K)))
13.896 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
13.896 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.897 * [backup-simplify]: Simplify (+ 0) into 0
13.897 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 1)) into 0
13.897 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)))) into 0
13.898 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.898 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (* 0 0)) into 0
13.898 * [backup-simplify]: Simplify (- 0) into 0
13.899 * [backup-simplify]: Simplify (+ 0 0) into 0
13.899 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 (cos (/ -0.5 K)))) into 0
13.899 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -0.5 K)) 2) 0) (* 0 1)) into 0
13.900 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -0.5 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)) (/ 0 (pow (cos (/ -0.5 K)) 2))))) into 0
13.900 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) into 0
13.900 * [backup-simplify]: Simplify (+ 0 0) into 0
13.901 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))))) into 0
13.901 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)) in U
13.901 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0) in U
13.901 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) in U
13.901 * [taylor]: Taking taylor expansion of 0.25 in U
13.901 * [backup-simplify]: Simplify 0.25 into 0.25
13.901 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) in U
13.901 * [taylor]: Taking taylor expansion of (pow J 2) in U
13.901 * [taylor]: Taking taylor expansion of J in U
13.901 * [backup-simplify]: Simplify J into J
13.901 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -0.5 K)) 2) (pow U 2)) in U
13.901 * [taylor]: Taking taylor expansion of (pow (cos (/ -0.5 K)) 2) in U
13.901 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in U
13.901 * [taylor]: Taking taylor expansion of (/ -0.5 K) in U
13.901 * [taylor]: Taking taylor expansion of -0.5 in U
13.901 * [backup-simplify]: Simplify -0.5 into -0.5
13.901 * [taylor]: Taking taylor expansion of K in U
13.901 * [backup-simplify]: Simplify K into K
13.901 * [backup-simplify]: Simplify (/ -0.5 K) into (/ -0.5 K)
13.901 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
13.901 * [backup-simplify]: Simplify (sin (/ -0.5 K)) into (sin (/ -0.5 K))
13.901 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
13.901 * [backup-simplify]: Simplify (* (sin (/ -0.5 K)) 0) into 0
13.902 * [backup-simplify]: Simplify (- 0) into 0
13.902 * [backup-simplify]: Simplify (+ (cos (/ -0.5 K)) 0) into (cos (/ -0.5 K))
13.902 * [taylor]: Taking taylor expansion of (pow U 2) in U
13.902 * [taylor]: Taking taylor expansion of U in U
13.902 * [backup-simplify]: Simplify 0 into 0
13.902 * [backup-simplify]: Simplify 1 into 1
13.902 * [backup-simplify]: Simplify (* J J) into (pow J 2)
13.902 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) (cos (/ -0.5 K))) into (pow (cos (/ -0.5 K)) 2)
13.902 * [backup-simplify]: Simplify (* 1 1) into 1
13.902 * [backup-simplify]: Simplify (* (pow (cos (/ -0.5 K)) 2) 1) into (pow (cos (/ -0.5 K)) 2)
13.902 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)) into (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))
13.902 * [taylor]: Taking taylor expansion of 1.0 in U
13.902 * [backup-simplify]: Simplify 1.0 into 1.0
13.903 * [backup-simplify]: Simplify (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))) into (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))
13.903 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))) 0) into (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))
13.903 * [backup-simplify]: Simplify (sqrt (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) into (/ (* (sqrt 0.25) J) (cos (/ -0.5 K)))
13.903 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
13.904 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.904 * [backup-simplify]: Simplify (+ 0) into 0
13.904 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 1)) into 0
13.904 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)))) into 0
13.905 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.905 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (* 0 0)) into 0
13.905 * [backup-simplify]: Simplify (- 0) into 0
13.906 * [backup-simplify]: Simplify (+ 0 0) into 0
13.906 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 (cos (/ -0.5 K)))) into 0
13.906 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -0.5 K)) 2) 0) (* 0 1)) into 0
13.907 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -0.5 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)) (/ 0 (pow (cos (/ -0.5 K)) 2))))) into 0
13.907 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) into 0
13.907 * [backup-simplify]: Simplify (+ 0 0) into 0
13.908 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))))) into 0
13.908 * [taylor]: Taking taylor expansion of (/ (* (sqrt 0.25) J) (cos (/ -0.5 K))) in K
13.908 * [taylor]: Taking taylor expansion of (* (sqrt 0.25) J) in K
13.908 * [taylor]: Taking taylor expansion of (sqrt 0.25) in K
13.908 * [taylor]: Taking taylor expansion of 0.25 in K
13.908 * [backup-simplify]: Simplify 0.25 into 0.25
13.908 * [backup-simplify]: Simplify (sqrt 0.25) into (sqrt 0.25)
13.908 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.25))) into 0
13.909 * [taylor]: Taking taylor expansion of J in K
13.909 * [backup-simplify]: Simplify J into J
13.909 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in K
13.909 * [taylor]: Taking taylor expansion of (/ -0.5 K) in K
13.909 * [taylor]: Taking taylor expansion of -0.5 in K
13.909 * [backup-simplify]: Simplify -0.5 into -0.5
13.909 * [taylor]: Taking taylor expansion of K in K
13.909 * [backup-simplify]: Simplify 0 into 0
13.909 * [backup-simplify]: Simplify 1 into 1
13.909 * [backup-simplify]: Simplify (/ -0.5 1) into -0.5
13.909 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
13.910 * [backup-simplify]: Simplify (* (sqrt 0.25) J) into (* (sqrt 0.25) J)
13.910 * [backup-simplify]: Simplify (/ (* (sqrt 0.25) J) (cos (/ -0.5 K))) into (/ (* (sqrt 0.25) J) (cos (/ -0.5 K)))
13.910 * [taylor]: Taking taylor expansion of (/ (* (sqrt 0.25) J) (cos (/ -0.5 K))) in J
13.910 * [taylor]: Taking taylor expansion of (* (sqrt 0.25) J) in J
13.910 * [taylor]: Taking taylor expansion of (sqrt 0.25) in J
13.910 * [taylor]: Taking taylor expansion of 0.25 in J
13.910 * [backup-simplify]: Simplify 0.25 into 0.25
13.910 * [backup-simplify]: Simplify (sqrt 0.25) into (sqrt 0.25)
13.911 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.25))) into 0
13.911 * [taylor]: Taking taylor expansion of J in J
13.911 * [backup-simplify]: Simplify 0 into 0
13.911 * [backup-simplify]: Simplify 1 into 1
13.911 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in J
13.911 * [taylor]: Taking taylor expansion of (/ -0.5 K) in J
13.911 * [taylor]: Taking taylor expansion of -0.5 in J
13.911 * [backup-simplify]: Simplify -0.5 into -0.5
13.911 * [taylor]: Taking taylor expansion of K in J
13.911 * [backup-simplify]: Simplify K into K
13.911 * [backup-simplify]: Simplify (/ -0.5 K) into (/ -0.5 K)
13.911 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
13.911 * [backup-simplify]: Simplify (sin (/ -0.5 K)) into (sin (/ -0.5 K))
13.911 * [backup-simplify]: Simplify (* (sqrt 0.25) 0) into 0
13.913 * [backup-simplify]: Simplify (+ (* (sqrt 0.25) 1) (* 0 0)) into (sqrt 0.25)
13.913 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
13.913 * [backup-simplify]: Simplify (* (sin (/ -0.5 K)) 0) into 0
13.913 * [backup-simplify]: Simplify (- 0) into 0
13.913 * [backup-simplify]: Simplify (+ (cos (/ -0.5 K)) 0) into (cos (/ -0.5 K))
13.914 * [backup-simplify]: Simplify (/ (sqrt 0.25) (cos (/ -0.5 K))) into (/ (sqrt 0.25) (cos (/ -0.5 K)))
13.914 * [taylor]: Taking taylor expansion of 0 in K
13.914 * [backup-simplify]: Simplify 0 into 0
13.914 * [taylor]: Taking taylor expansion of 0 in J
13.914 * [backup-simplify]: Simplify 0 into 0
13.914 * [backup-simplify]: Simplify 0 into 0
13.914 * [backup-simplify]: Simplify (+ (* (sqrt 0.25) 0) (* 0 J)) into 0
13.914 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -0.5 K))) (+ (* (/ (* (sqrt 0.25) J) (cos (/ -0.5 K))) (/ 0 (cos (/ -0.5 K)))))) into 0
13.914 * [taylor]: Taking taylor expansion of 0 in J
13.914 * [backup-simplify]: Simplify 0 into 0
13.914 * [backup-simplify]: Simplify 0 into 0
13.915 * [backup-simplify]: Simplify (/ (sqrt 0.25) (cos (/ -0.5 K))) into (/ (sqrt 0.25) (cos (/ -0.5 K)))
13.915 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
13.916 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.917 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
13.917 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (+ (* 0 0) (* 0 1))) into 0
13.918 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
13.918 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
13.919 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (+ (* 0 0) (* 0 0))) into 0
13.919 * [backup-simplify]: Simplify (- 0) into 0
13.920 * [backup-simplify]: Simplify (+ 0 0) into 0
13.920 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (+ (* 0 0) (* 0 (cos (/ -0.5 K))))) into 0
13.921 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -0.5 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
13.922 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -0.5 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)) (/ 0 (pow (cos (/ -0.5 K)) 2))) (* 0 (/ 0 (pow (cos (/ -0.5 K)) 2))))) into 0
13.923 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))))) into 0
13.924 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
13.926 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (/ (* (sqrt 0.25) J) (cos (/ -0.5 K))))) into (* 0.5 (/ (cos (/ -0.5 K)) (* (sqrt 0.25) J)))
13.926 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -0.5 K)) (* (sqrt 0.25) J))) in K
13.926 * [taylor]: Taking taylor expansion of 0.5 in K
13.926 * [backup-simplify]: Simplify 0.5 into 0.5
13.926 * [taylor]: Taking taylor expansion of (/ (cos (/ -0.5 K)) (* (sqrt 0.25) J)) in K
13.926 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in K
13.926 * [taylor]: Taking taylor expansion of (/ -0.5 K) in K
13.926 * [taylor]: Taking taylor expansion of -0.5 in K
13.926 * [backup-simplify]: Simplify -0.5 into -0.5
13.926 * [taylor]: Taking taylor expansion of K in K
13.926 * [backup-simplify]: Simplify 0 into 0
13.926 * [backup-simplify]: Simplify 1 into 1
13.927 * [backup-simplify]: Simplify (/ -0.5 1) into -0.5
13.927 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
13.927 * [taylor]: Taking taylor expansion of (* (sqrt 0.25) J) in K
13.927 * [taylor]: Taking taylor expansion of (sqrt 0.25) in K
13.927 * [taylor]: Taking taylor expansion of 0.25 in K
13.927 * [backup-simplify]: Simplify 0.25 into 0.25
13.927 * [backup-simplify]: Simplify (sqrt 0.25) into (sqrt 0.25)
13.928 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.25))) into 0
13.928 * [taylor]: Taking taylor expansion of J in K
13.928 * [backup-simplify]: Simplify J into J
13.929 * [backup-simplify]: Simplify (* (sqrt 0.25) J) into (* (sqrt 0.25) J)
13.929 * [backup-simplify]: Simplify (/ (cos (/ -0.5 K)) (* (sqrt 0.25) J)) into (/ (cos (/ -0.5 K)) (* (sqrt 0.25) J))
13.930 * [backup-simplify]: Simplify (* 0.5 (/ (cos (/ -0.5 K)) (* (sqrt 0.25) J))) into (* 0.5 (/ (cos (/ -0.5 K)) (* (sqrt 0.25) J)))
13.930 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -0.5 K)) (* (sqrt 0.25) J))) in J
13.930 * [taylor]: Taking taylor expansion of 0.5 in J
13.930 * [backup-simplify]: Simplify 0.5 into 0.5
13.930 * [taylor]: Taking taylor expansion of (/ (cos (/ -0.5 K)) (* (sqrt 0.25) J)) in J
13.930 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in J
13.930 * [taylor]: Taking taylor expansion of (/ -0.5 K) in J
13.930 * [taylor]: Taking taylor expansion of -0.5 in J
13.930 * [backup-simplify]: Simplify -0.5 into -0.5
13.930 * [taylor]: Taking taylor expansion of K in J
13.930 * [backup-simplify]: Simplify K into K
13.930 * [backup-simplify]: Simplify (/ -0.5 K) into (/ -0.5 K)
13.930 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
13.930 * [backup-simplify]: Simplify (sin (/ -0.5 K)) into (sin (/ -0.5 K))
13.930 * [taylor]: Taking taylor expansion of (* (sqrt 0.25) J) in J
13.930 * [taylor]: Taking taylor expansion of (sqrt 0.25) in J
13.930 * [taylor]: Taking taylor expansion of 0.25 in J
13.930 * [backup-simplify]: Simplify 0.25 into 0.25
13.931 * [backup-simplify]: Simplify (sqrt 0.25) into (sqrt 0.25)
13.932 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.25))) into 0
13.932 * [taylor]: Taking taylor expansion of J in J
13.932 * [backup-simplify]: Simplify 0 into 0
13.932 * [backup-simplify]: Simplify 1 into 1
13.932 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
13.932 * [backup-simplify]: Simplify (* (sin (/ -0.5 K)) 0) into 0
13.933 * [backup-simplify]: Simplify (- 0) into 0
13.933 * [backup-simplify]: Simplify (+ (cos (/ -0.5 K)) 0) into (cos (/ -0.5 K))
13.933 * [backup-simplify]: Simplify (* (sqrt 0.25) 0) into 0
13.935 * [backup-simplify]: Simplify (+ (* (sqrt 0.25) 1) (* 0 0)) into (sqrt 0.25)
13.935 * [backup-simplify]: Simplify (/ (cos (/ -0.5 K)) (sqrt 0.25)) into (/ (cos (/ -0.5 K)) (sqrt 0.25))
13.935 * [backup-simplify]: Simplify (+ 0) into 0
13.936 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 1)) into 0
13.936 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)))) into 0
13.936 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.937 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (* 0 0)) into 0
13.937 * [backup-simplify]: Simplify (- 0) into 0
13.937 * [backup-simplify]: Simplify (+ 0 0) into 0
13.938 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.25))) into 0
13.939 * [backup-simplify]: Simplify (+ (* (sqrt 0.25) 0) (+ (* 0 1) (* 0 0))) into 0
13.940 * [backup-simplify]: Simplify (- (/ 0 (sqrt 0.25)) (+ (* (/ (cos (/ -0.5 K)) (sqrt 0.25)) (/ 0 (sqrt 0.25))))) into 0
13.940 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ (cos (/ -0.5 K)) (sqrt 0.25)))) into 0
13.940 * [backup-simplify]: Simplify 0 into 0
13.940 * [taylor]: Taking taylor expansion of 0 in J
13.940 * [backup-simplify]: Simplify 0 into 0
13.940 * [backup-simplify]: Simplify 0 into 0
13.941 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.25))) into 0
13.942 * [backup-simplify]: Simplify (+ (* (sqrt 0.25) 0) (+ (* 0 0) (* 0 J))) into 0
13.942 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -0.5 K))) (+ (* (/ (* (sqrt 0.25) J) (cos (/ -0.5 K))) (/ 0 (cos (/ -0.5 K)))) (* 0 (/ 0 (cos (/ -0.5 K)))))) into 0
13.942 * [taylor]: Taking taylor expansion of 0 in J
13.942 * [backup-simplify]: Simplify 0 into 0
13.942 * [backup-simplify]: Simplify 0 into 0
13.942 * [backup-simplify]: Simplify 0 into 0
13.942 * [backup-simplify]: Simplify 0 into 0
13.943 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.25))) into 0
13.944 * [backup-simplify]: Simplify (+ (* (sqrt 0.25) 0) (+ (* 0 1) (* 0 0))) into 0
13.944 * [backup-simplify]: Simplify (+ 0) into 0
13.944 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 1)) into 0
13.944 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)))) into 0
13.945 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.945 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (* 0 0)) into 0
13.945 * [backup-simplify]: Simplify (- 0) into 0
13.946 * [backup-simplify]: Simplify (+ 0 0) into 0
13.946 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -0.5 K))) (+ (* (/ (sqrt 0.25) (cos (/ -0.5 K))) (/ 0 (cos (/ -0.5 K)))))) into 0
13.946 * [backup-simplify]: Simplify 0 into 0
13.947 * [backup-simplify]: Simplify (* (/ (sqrt 0.25) (cos (/ -0.5 (/ 1 (- K))))) (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U)))))) into (/ (* (sqrt 0.25) U) (* (cos (* 0.5 K)) J))
13.947 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1)
13.947 * [backup-simplify]: Simplify (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0)))) into (* -2.0 (* (* J (cos (* 0.5 K))) (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0))))
13.947 * [approximate]: Taking taylor expansion of (* -2.0 (* (* J (cos (* 0.5 K))) (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0)))) in (U K J) around 0
13.947 * [taylor]: Taking taylor expansion of (* -2.0 (* (* J (cos (* 0.5 K))) (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0)))) in J
13.947 * [taylor]: Taking taylor expansion of -2.0 in J
13.947 * [backup-simplify]: Simplify -2.0 into -2.0
13.947 * [taylor]: Taking taylor expansion of (* (* J (cos (* 0.5 K))) (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0))) in J
13.947 * [taylor]: Taking taylor expansion of (* J (cos (* 0.5 K))) in J
13.947 * [taylor]: Taking taylor expansion of J in J
13.947 * [backup-simplify]: Simplify 0 into 0
13.947 * [backup-simplify]: Simplify 1 into 1
13.947 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in J
13.947 * [taylor]: Taking taylor expansion of (* 0.5 K) in J
13.947 * [taylor]: Taking taylor expansion of 0.5 in J
13.947 * [backup-simplify]: Simplify 0.5 into 0.5
13.947 * [taylor]: Taking taylor expansion of K in J
13.947 * [backup-simplify]: Simplify K into K
13.947 * [backup-simplify]: Simplify (* 0.5 K) into (* 0.5 K)
13.947 * [backup-simplify]: Simplify (cos (* 0.5 K)) into (cos (* 0.5 K))
13.947 * [backup-simplify]: Simplify (sin (* 0.5 K)) into (sin (* 0.5 K))
13.947 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0)) in J
13.947 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0) in J
13.947 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) in J
13.948 * [taylor]: Taking taylor expansion of 0.25 in J
13.948 * [backup-simplify]: Simplify 0.25 into 0.25
13.948 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2))) in J
13.948 * [taylor]: Taking taylor expansion of (pow U 2) in J
13.948 * [taylor]: Taking taylor expansion of U in J
13.948 * [backup-simplify]: Simplify U into U
13.948 * [taylor]: Taking taylor expansion of (* (pow J 2) (pow (cos (* 0.5 K)) 2)) in J
13.948 * [taylor]: Taking taylor expansion of (pow J 2) in J
13.948 * [taylor]: Taking taylor expansion of J in J
13.948 * [backup-simplify]: Simplify 0 into 0
13.948 * [backup-simplify]: Simplify 1 into 1
13.948 * [taylor]: Taking taylor expansion of (pow (cos (* 0.5 K)) 2) in J
13.948 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in J
13.948 * [taylor]: Taking taylor expansion of (* 0.5 K) in J
13.948 * [taylor]: Taking taylor expansion of 0.5 in J
13.948 * [backup-simplify]: Simplify 0.5 into 0.5
13.948 * [taylor]: Taking taylor expansion of K in J
13.948 * [backup-simplify]: Simplify K into K
13.948 * [backup-simplify]: Simplify (* 0.5 K) into (* 0.5 K)
13.948 * [backup-simplify]: Simplify (cos (* 0.5 K)) into (cos (* 0.5 K))
13.948 * [backup-simplify]: Simplify (sin (* 0.5 K)) into (sin (* 0.5 K))
13.948 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) 1) into (cos (* 0.5 K))
13.948 * [backup-simplify]: Simplify (* (sin (* 0.5 K)) 0) into 0
13.948 * [backup-simplify]: Simplify (- 0) into 0
13.948 * [backup-simplify]: Simplify (+ (cos (* 0.5 K)) 0) into (cos (* 0.5 K))
13.948 * [backup-simplify]: Simplify (* U U) into (pow U 2)
13.949 * [backup-simplify]: Simplify (* 1 1) into 1
13.949 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) (cos (* 0.5 K))) into (pow (cos (* 0.5 K)) 2)
13.949 * [backup-simplify]: Simplify (* 1 (pow (cos (* 0.5 K)) 2)) into (pow (cos (* 0.5 K)) 2)
13.949 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 0.5 K)) 2)) into (/ (pow U 2) (pow (cos (* 0.5 K)) 2))
13.949 * [taylor]: Taking taylor expansion of 1.0 in J
13.949 * [backup-simplify]: Simplify 1.0 into 1.0
13.949 * [backup-simplify]: Simplify (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2))) into (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2)))
13.950 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2))) 0) into (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2)))
13.950 * [backup-simplify]: Simplify (sqrt (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2)))) into (/ (* (sqrt 0.25) U) (cos (* 0.5 K)))
13.950 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
13.950 * [backup-simplify]: Simplify (+ 0) into 0
13.950 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (* 0 1)) into 0
13.951 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 K)) into 0
13.951 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.952 * [backup-simplify]: Simplify (+ (* (sin (* 0.5 K)) 0) (* 0 0)) into 0
13.952 * [backup-simplify]: Simplify (- 0) into 0
13.952 * [backup-simplify]: Simplify (+ 0 0) into 0
13.952 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (* 0 (cos (* 0.5 K)))) into 0
13.953 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.953 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (* 0.5 K)) 2))) into 0
13.953 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 0.5 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 0.5 K)) 2)) (/ 0 (pow (cos (* 0.5 K)) 2))))) into 0
13.954 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow U 2) (pow (cos (* 0.5 K)) 2)))) into 0
13.954 * [backup-simplify]: Simplify (+ 0 0) into 0
13.954 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 0.25 (/ (pow U 2) (pow (cos (* 0.5 K)) 2)))))) into 0
13.954 * [taylor]: Taking taylor expansion of (* -2.0 (* (* J (cos (* 0.5 K))) (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0)))) in K
13.954 * [taylor]: Taking taylor expansion of -2.0 in K
13.954 * [backup-simplify]: Simplify -2.0 into -2.0
13.954 * [taylor]: Taking taylor expansion of (* (* J (cos (* 0.5 K))) (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0))) in K
13.954 * [taylor]: Taking taylor expansion of (* J (cos (* 0.5 K))) in K
13.954 * [taylor]: Taking taylor expansion of J in K
13.954 * [backup-simplify]: Simplify J into J
13.954 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in K
13.955 * [taylor]: Taking taylor expansion of (* 0.5 K) in K
13.955 * [taylor]: Taking taylor expansion of 0.5 in K
13.955 * [backup-simplify]: Simplify 0.5 into 0.5
13.955 * [taylor]: Taking taylor expansion of K in K
13.955 * [backup-simplify]: Simplify 0 into 0
13.955 * [backup-simplify]: Simplify 1 into 1
13.955 * [backup-simplify]: Simplify (* 0.5 0) into 0
13.956 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5
13.956 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0)) in K
13.956 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0) in K
13.956 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) in K
13.956 * [taylor]: Taking taylor expansion of 0.25 in K
13.956 * [backup-simplify]: Simplify 0.25 into 0.25
13.956 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2))) in K
13.956 * [taylor]: Taking taylor expansion of (pow U 2) in K
13.956 * [taylor]: Taking taylor expansion of U in K
13.956 * [backup-simplify]: Simplify U into U
13.956 * [taylor]: Taking taylor expansion of (* (pow J 2) (pow (cos (* 0.5 K)) 2)) in K
13.956 * [taylor]: Taking taylor expansion of (pow J 2) in K
13.956 * [taylor]: Taking taylor expansion of J in K
13.956 * [backup-simplify]: Simplify J into J
13.956 * [taylor]: Taking taylor expansion of (pow (cos (* 0.5 K)) 2) in K
13.956 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in K
13.956 * [taylor]: Taking taylor expansion of (* 0.5 K) in K
13.956 * [taylor]: Taking taylor expansion of 0.5 in K
13.956 * [backup-simplify]: Simplify 0.5 into 0.5
13.956 * [taylor]: Taking taylor expansion of K in K
13.956 * [backup-simplify]: Simplify 0 into 0
13.956 * [backup-simplify]: Simplify 1 into 1
13.956 * [backup-simplify]: Simplify (* 0.5 0) into 0
13.957 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5
13.957 * [backup-simplify]: Simplify (* U U) into (pow U 2)
13.957 * [backup-simplify]: Simplify (* J J) into (pow J 2)
13.958 * [backup-simplify]: Simplify (* 1 1) into 1
13.958 * [backup-simplify]: Simplify (* (pow J 2) 1) into (pow J 2)
13.958 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
13.958 * [taylor]: Taking taylor expansion of 1.0 in K
13.958 * [backup-simplify]: Simplify 1.0 into 1.0
13.958 * [backup-simplify]: Simplify (* 0.25 (/ (pow U 2) (pow J 2))) into (* 0.25 (/ (pow U 2) (pow J 2)))
13.958 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow U 2) (pow J 2))) 1.0) into (+ (* 0.25 (/ (pow U 2) (pow J 2))) 1.0)
13.958 * [backup-simplify]: Simplify (sqrt (+ (* 0.25 (/ (pow U 2) (pow J 2))) 1.0)) into (sqrt (+ (* 0.25 (/ (pow U 2) (pow J 2))) 1.0))
13.959 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
13.959 * [backup-simplify]: Simplify (+ 0) into 0
13.959 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.959 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
13.960 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (* 0 1)) into 0
13.960 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
13.961 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
13.961 * [backup-simplify]: Simplify (+ 0 0) into 0
13.961 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 0.25 (/ (pow U 2) (pow J 2))) 1.0)))) into 0
13.961 * [taylor]: Taking taylor expansion of (* -2.0 (* (* J (cos (* 0.5 K))) (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0)))) in U
13.961 * [taylor]: Taking taylor expansion of -2.0 in U
13.961 * [backup-simplify]: Simplify -2.0 into -2.0
13.961 * [taylor]: Taking taylor expansion of (* (* J (cos (* 0.5 K))) (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0))) in U
13.961 * [taylor]: Taking taylor expansion of (* J (cos (* 0.5 K))) in U
13.961 * [taylor]: Taking taylor expansion of J in U
13.961 * [backup-simplify]: Simplify J into J
13.961 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in U
13.961 * [taylor]: Taking taylor expansion of (* 0.5 K) in U
13.961 * [taylor]: Taking taylor expansion of 0.5 in U
13.961 * [backup-simplify]: Simplify 0.5 into 0.5
13.961 * [taylor]: Taking taylor expansion of K in U
13.961 * [backup-simplify]: Simplify K into K
13.961 * [backup-simplify]: Simplify (* 0.5 K) into (* 0.5 K)
13.961 * [backup-simplify]: Simplify (cos (* 0.5 K)) into (cos (* 0.5 K))
13.961 * [backup-simplify]: Simplify (sin (* 0.5 K)) into (sin (* 0.5 K))
13.961 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0)) in U
13.961 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0) in U
13.961 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) in U
13.961 * [taylor]: Taking taylor expansion of 0.25 in U
13.962 * [backup-simplify]: Simplify 0.25 into 0.25
13.962 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2))) in U
13.962 * [taylor]: Taking taylor expansion of (pow U 2) in U
13.962 * [taylor]: Taking taylor expansion of U in U
13.962 * [backup-simplify]: Simplify 0 into 0
13.962 * [backup-simplify]: Simplify 1 into 1
13.962 * [taylor]: Taking taylor expansion of (* (pow J 2) (pow (cos (* 0.5 K)) 2)) in U
13.962 * [taylor]: Taking taylor expansion of (pow J 2) in U
13.962 * [taylor]: Taking taylor expansion of J in U
13.962 * [backup-simplify]: Simplify J into J
13.962 * [taylor]: Taking taylor expansion of (pow (cos (* 0.5 K)) 2) in U
13.962 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in U
13.962 * [taylor]: Taking taylor expansion of (* 0.5 K) in U
13.962 * [taylor]: Taking taylor expansion of 0.5 in U
13.962 * [backup-simplify]: Simplify 0.5 into 0.5
13.962 * [taylor]: Taking taylor expansion of K in U
13.962 * [backup-simplify]: Simplify K into K
13.962 * [backup-simplify]: Simplify (* 0.5 K) into (* 0.5 K)
13.962 * [backup-simplify]: Simplify (cos (* 0.5 K)) into (cos (* 0.5 K))
13.962 * [backup-simplify]: Simplify (sin (* 0.5 K)) into (sin (* 0.5 K))
13.962 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) 1) into (cos (* 0.5 K))
13.962 * [backup-simplify]: Simplify (* (sin (* 0.5 K)) 0) into 0
13.962 * [backup-simplify]: Simplify (- 0) into 0
13.962 * [backup-simplify]: Simplify (+ (cos (* 0.5 K)) 0) into (cos (* 0.5 K))
13.963 * [backup-simplify]: Simplify (* 1 1) into 1
13.963 * [backup-simplify]: Simplify (* J J) into (pow J 2)
13.963 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) (cos (* 0.5 K))) into (pow (cos (* 0.5 K)) 2)
13.963 * [backup-simplify]: Simplify (* (pow J 2) (pow (cos (* 0.5 K)) 2)) into (* (pow J 2) (pow (cos (* 0.5 K)) 2))
13.963 * [backup-simplify]: Simplify (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2))) into (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2)))
13.963 * [taylor]: Taking taylor expansion of 1.0 in U
13.963 * [backup-simplify]: Simplify 1.0 into 1.0
13.963 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
13.964 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
13.964 * [backup-simplify]: Simplify (+ 0 0) into 0
13.964 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
13.964 * [taylor]: Taking taylor expansion of (* -2.0 (* (* J (cos (* 0.5 K))) (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0)))) in U
13.964 * [taylor]: Taking taylor expansion of -2.0 in U
13.964 * [backup-simplify]: Simplify -2.0 into -2.0
13.964 * [taylor]: Taking taylor expansion of (* (* J (cos (* 0.5 K))) (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0))) in U
13.964 * [taylor]: Taking taylor expansion of (* J (cos (* 0.5 K))) in U
13.964 * [taylor]: Taking taylor expansion of J in U
13.965 * [backup-simplify]: Simplify J into J
13.965 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in U
13.965 * [taylor]: Taking taylor expansion of (* 0.5 K) in U
13.965 * [taylor]: Taking taylor expansion of 0.5 in U
13.965 * [backup-simplify]: Simplify 0.5 into 0.5
13.965 * [taylor]: Taking taylor expansion of K in U
13.965 * [backup-simplify]: Simplify K into K
13.965 * [backup-simplify]: Simplify (* 0.5 K) into (* 0.5 K)
13.965 * [backup-simplify]: Simplify (cos (* 0.5 K)) into (cos (* 0.5 K))
13.965 * [backup-simplify]: Simplify (sin (* 0.5 K)) into (sin (* 0.5 K))
13.965 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0)) in U
13.965 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) 1.0) in U
13.965 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) in U
13.965 * [taylor]: Taking taylor expansion of 0.25 in U
13.965 * [backup-simplify]: Simplify 0.25 into 0.25
13.965 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow J 2) (pow (cos (* 0.5 K)) 2))) in U
13.965 * [taylor]: Taking taylor expansion of (pow U 2) in U
13.965 * [taylor]: Taking taylor expansion of U in U
13.965 * [backup-simplify]: Simplify 0 into 0
13.965 * [backup-simplify]: Simplify 1 into 1
13.965 * [taylor]: Taking taylor expansion of (* (pow J 2) (pow (cos (* 0.5 K)) 2)) in U
13.965 * [taylor]: Taking taylor expansion of (pow J 2) in U
13.965 * [taylor]: Taking taylor expansion of J in U
13.965 * [backup-simplify]: Simplify J into J
13.965 * [taylor]: Taking taylor expansion of (pow (cos (* 0.5 K)) 2) in U
13.965 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in U
13.965 * [taylor]: Taking taylor expansion of (* 0.5 K) in U
13.965 * [taylor]: Taking taylor expansion of 0.5 in U
13.965 * [backup-simplify]: Simplify 0.5 into 0.5
13.965 * [taylor]: Taking taylor expansion of K in U
13.965 * [backup-simplify]: Simplify K into K
13.965 * [backup-simplify]: Simplify (* 0.5 K) into (* 0.5 K)
13.965 * [backup-simplify]: Simplify (cos (* 0.5 K)) into (cos (* 0.5 K))
13.965 * [backup-simplify]: Simplify (sin (* 0.5 K)) into (sin (* 0.5 K))
13.965 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) 1) into (cos (* 0.5 K))
13.965 * [backup-simplify]: Simplify (* (sin (* 0.5 K)) 0) into 0
13.966 * [backup-simplify]: Simplify (- 0) into 0
13.966 * [backup-simplify]: Simplify (+ (cos (* 0.5 K)) 0) into (cos (* 0.5 K))
13.966 * [backup-simplify]: Simplify (* 1 1) into 1
13.966 * [backup-simplify]: Simplify (* J J) into (pow J 2)
13.966 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) (cos (* 0.5 K))) into (pow (cos (* 0.5 K)) 2)
13.966 * [backup-simplify]: Simplify (* (pow J 2) (pow (cos (* 0.5 K)) 2)) into (* (pow J 2) (pow (cos (* 0.5 K)) 2))
13.966 * [backup-simplify]: Simplify (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2))) into (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2)))
13.966 * [taylor]: Taking taylor expansion of 1.0 in U
13.966 * [backup-simplify]: Simplify 1.0 into 1.0
13.967 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
13.967 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
13.967 * [backup-simplify]: Simplify (+ 0 0) into 0
13.968 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
13.968 * [backup-simplify]: Simplify (* (cos (* 0.5 K)) 1) into (cos (* 0.5 K))
13.968 * [backup-simplify]: Simplify (* (sin (* 0.5 K)) 0) into 0
13.968 * [backup-simplify]: Simplify (- 0) into 0
13.968 * [backup-simplify]: Simplify (+ (cos (* 0.5 K)) 0) into (cos (* 0.5 K))
13.968 * [backup-simplify]: Simplify (* J (cos (* 0.5 K))) into (* J (cos (* 0.5 K)))
13.969 * [backup-simplify]: Simplify (* (* J (cos (* 0.5 K))) (sqrt 1.0)) into (* (sqrt 1.0) (* J (cos (* 0.5 K))))
13.969 * [backup-simplify]: Simplify (* -2.0 (* (sqrt 1.0) (* J (cos (* 0.5 K))))) into (* -2.0 (* (sqrt 1.0) (* J (cos (* 0.5 K)))))
13.970 * [taylor]: Taking taylor expansion of (* -2.0 (* (sqrt 1.0) (* J (cos (* 0.5 K))))) in K
13.970 * [taylor]: Taking taylor expansion of -2.0 in K
13.970 * [backup-simplify]: Simplify -2.0 into -2.0
13.970 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (* J (cos (* 0.5 K)))) in K
13.970 * [taylor]: Taking taylor expansion of (sqrt 1.0) in K
13.970 * [taylor]: Taking taylor expansion of 1.0 in K
13.970 * [backup-simplify]: Simplify 1.0 into 1.0
13.970 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
13.971 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
13.971 * [taylor]: Taking taylor expansion of (* J (cos (* 0.5 K))) in K
13.971 * [taylor]: Taking taylor expansion of J in K
13.971 * [backup-simplify]: Simplify J into J
13.971 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in K
13.971 * [taylor]: Taking taylor expansion of (* 0.5 K) in K
13.971 * [taylor]: Taking taylor expansion of 0.5 in K
13.971 * [backup-simplify]: Simplify 0.5 into 0.5
13.971 * [taylor]: Taking taylor expansion of K in K
13.971 * [backup-simplify]: Simplify 0 into 0
13.971 * [backup-simplify]: Simplify 1 into 1
13.972 * [backup-simplify]: Simplify (* 0.5 0) into 0
13.973 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5
13.973 * [backup-simplify]: Simplify (* J 1) into J
13.973 * [backup-simplify]: Simplify (* (sqrt 1.0) J) into (* (sqrt 1.0) J)
13.974 * [backup-simplify]: Simplify (* -2.0 (* (sqrt 1.0) J)) into (* -2.0 (* (sqrt 1.0) J))
13.974 * [taylor]: Taking taylor expansion of (* -2.0 (* (sqrt 1.0) J)) in J
13.974 * [taylor]: Taking taylor expansion of -2.0 in J
13.974 * [backup-simplify]: Simplify -2.0 into -2.0
13.974 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) J) in J
13.974 * [taylor]: Taking taylor expansion of (sqrt 1.0) in J
13.974 * [taylor]: Taking taylor expansion of 1.0 in J
13.974 * [backup-simplify]: Simplify 1.0 into 1.0
13.975 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
13.975 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
13.975 * [taylor]: Taking taylor expansion of J in J
13.975 * [backup-simplify]: Simplify 0 into 0
13.975 * [backup-simplify]: Simplify 1 into 1
13.976 * [backup-simplify]: Simplify (+ 0) into 0
13.976 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (* 0 1)) into 0
13.976 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 K)) into 0
13.977 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.977 * [backup-simplify]: Simplify (+ (* (sin (* 0.5 K)) 0) (* 0 0)) into 0
13.977 * [backup-simplify]: Simplify (- 0) into 0
13.978 * [backup-simplify]: Simplify (+ 0 0) into 0
13.978 * [backup-simplify]: Simplify (+ (* J 0) (* 0 (cos (* 0.5 K)))) into 0
13.978 * [backup-simplify]: Simplify (+ (* (* J (cos (* 0.5 K))) 0) (* 0 (sqrt 1.0))) into 0
13.979 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 (* (sqrt 1.0) (* J (cos (* 0.5 K)))))) into 0
13.979 * [taylor]: Taking taylor expansion of 0 in K
13.979 * [backup-simplify]: Simplify 0 into 0
13.979 * [taylor]: Taking taylor expansion of 0 in J
13.979 * [backup-simplify]: Simplify 0 into 0
13.979 * [backup-simplify]: Simplify (+ 0) into 0
13.979 * [backup-simplify]: Simplify (+ (* J 0) (* 0 1)) into 0
13.980 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 J)) into 0
13.980 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 (* (sqrt 1.0) J))) into 0
13.980 * [taylor]: Taking taylor expansion of 0 in J
13.980 * [backup-simplify]: Simplify 0 into 0
13.981 * [backup-simplify]: Simplify (* (sqrt 1.0) 0) into 0
13.981 * [backup-simplify]: Simplify (* -2.0 0) into 0
13.981 * [backup-simplify]: Simplify 0 into 0
13.981 * [backup-simplify]: Simplify (* 0.25 (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) into (/ 0.25 (* (pow J 2) (pow (cos (* 0.5 K)) 2)))
13.982 * [backup-simplify]: Simplify (+ (/ 0.25 (* (pow J 2) (pow (cos (* 0.5 K)) 2))) 0) into (* 0.25 (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2))))
13.983 * [backup-simplify]: Simplify (/ (- (* 0.25 (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2)))) (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ 0.125 (* (sqrt 1.0) (* (pow J 2) (pow (cos (* 0.5 K)) 2))))
13.983 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
13.984 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (+ (* 0 0) (* 0 1))) into 0
13.984 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 K))) into 0
13.985 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
13.985 * [backup-simplify]: Simplify (+ (* (sin (* 0.5 K)) 0) (+ (* 0 0) (* 0 0))) into 0
13.985 * [backup-simplify]: Simplify (- 0) into 0
13.986 * [backup-simplify]: Simplify (+ 0 0) into 0
13.986 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 (cos (* 0.5 K))))) into 0
13.987 * [backup-simplify]: Simplify (+ (* (* J (cos (* 0.5 K))) (/ 0.125 (* (sqrt 1.0) (* (pow J 2) (pow (cos (* 0.5 K)) 2))))) (+ (* 0 0) (* 0 (sqrt 1.0)))) into (* 0.125 (/ 1 (* (sqrt 1.0) (* J (cos (* 0.5 K))))))
13.988 * [backup-simplify]: Simplify (+ (* -2.0 (* 0.125 (/ 1 (* (sqrt 1.0) (* J (cos (* 0.5 K))))))) (+ (* 0 0) (* 0 (* (sqrt 1.0) (* J (cos (* 0.5 K))))))) into (- (* 0.25 (/ 1 (* (sqrt 1.0) (* J (cos (* 0.5 K)))))))
13.988 * [taylor]: Taking taylor expansion of (- (* 0.25 (/ 1 (* (sqrt 1.0) (* J (cos (* 0.5 K))))))) in K
13.988 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (* (sqrt 1.0) (* J (cos (* 0.5 K)))))) in K
13.988 * [taylor]: Taking taylor expansion of 0.25 in K
13.988 * [backup-simplify]: Simplify 0.25 into 0.25
13.988 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt 1.0) (* J (cos (* 0.5 K))))) in K
13.988 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (* J (cos (* 0.5 K)))) in K
13.988 * [taylor]: Taking taylor expansion of (sqrt 1.0) in K
13.988 * [taylor]: Taking taylor expansion of 1.0 in K
13.988 * [backup-simplify]: Simplify 1.0 into 1.0
13.988 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
13.989 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
13.989 * [taylor]: Taking taylor expansion of (* J (cos (* 0.5 K))) in K
13.989 * [taylor]: Taking taylor expansion of J in K
13.989 * [backup-simplify]: Simplify J into J
13.989 * [taylor]: Taking taylor expansion of (cos (* 0.5 K)) in K
13.989 * [taylor]: Taking taylor expansion of (* 0.5 K) in K
13.989 * [taylor]: Taking taylor expansion of 0.5 in K
13.989 * [backup-simplify]: Simplify 0.5 into 0.5
13.989 * [taylor]: Taking taylor expansion of K in K
13.989 * [backup-simplify]: Simplify 0 into 0
13.989 * [backup-simplify]: Simplify 1 into 1
13.989 * [backup-simplify]: Simplify (* 0.5 0) into 0
13.990 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5
13.990 * [backup-simplify]: Simplify (* J 1) into J
13.990 * [backup-simplify]: Simplify (* (sqrt 1.0) J) into (* (sqrt 1.0) J)
13.991 * [backup-simplify]: Simplify (/ 1 (* (sqrt 1.0) J)) into (/ 1 (* (sqrt 1.0) J))
13.991 * [backup-simplify]: Simplify (* 0.25 (/ 1 (* (sqrt 1.0) J))) into (/ 0.25 (* (sqrt 1.0) J))
13.991 * [backup-simplify]: Simplify (- (/ 0.25 (* (sqrt 1.0) J))) into (- (* 0.25 (/ 1 (* (sqrt 1.0) J))))
13.991 * [taylor]: Taking taylor expansion of (- (* 0.25 (/ 1 (* (sqrt 1.0) J)))) in J
13.991 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (* (sqrt 1.0) J))) in J
13.991 * [taylor]: Taking taylor expansion of 0.25 in J
13.991 * [backup-simplify]: Simplify 0.25 into 0.25
13.991 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt 1.0) J)) in J
13.991 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) J) in J
13.991 * [taylor]: Taking taylor expansion of (sqrt 1.0) in J
13.991 * [taylor]: Taking taylor expansion of 1.0 in J
13.991 * [backup-simplify]: Simplify 1.0 into 1.0
13.992 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
13.992 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
13.992 * [taylor]: Taking taylor expansion of J in J
13.992 * [backup-simplify]: Simplify 0 into 0
13.992 * [backup-simplify]: Simplify 1 into 1
13.992 * [backup-simplify]: Simplify (* (sqrt 1.0) 0) into 0
13.994 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 1) (* 0 0)) into (sqrt 1.0)
13.994 * [backup-simplify]: Simplify (/ 1 (sqrt 1.0)) into (/ 1 (sqrt 1.0))
13.995 * [backup-simplify]: Simplify (* 0.25 (/ 1 (sqrt 1.0))) into (/ 0.25 (sqrt 1.0))
13.996 * [backup-simplify]: Simplify (- (/ 0.25 (sqrt 1.0))) into (- (* 0.25 (/ 1 (sqrt 1.0))))
13.998 * [backup-simplify]: Simplify (- (* 0.25 (/ 1 (sqrt 1.0)))) into (- (* 0.25 (/ 1 (sqrt 1.0))))
13.998 * [taylor]: Taking taylor expansion of 0 in J
13.998 * [backup-simplify]: Simplify 0 into 0
13.999 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0.5 2) 2)) 0) into (- 0.125)
14.000 * [backup-simplify]: Simplify (+ (* J (- 0.125)) (+ (* 0 0) (* 0 1))) into (- (* 0.125 J))
14.003 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
14.003 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) (- (* 0.125 J))) (+ (* 0 0) (* 0 J))) into (- (* 0.125 (* (sqrt 1.0) J)))
14.004 * [backup-simplify]: Simplify (+ (* -2.0 (- (* 0.125 (* (sqrt 1.0) J)))) (+ (* 0 0) (* 0 (* (sqrt 1.0) J)))) into (* 0.25 (* (sqrt 1.0) J))
14.005 * [taylor]: Taking taylor expansion of (* 0.25 (* (sqrt 1.0) J)) in J
14.005 * [taylor]: Taking taylor expansion of 0.25 in J
14.005 * [backup-simplify]: Simplify 0.25 into 0.25
14.005 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) J) in J
14.005 * [taylor]: Taking taylor expansion of (sqrt 1.0) in J
14.005 * [taylor]: Taking taylor expansion of 1.0 in J
14.005 * [backup-simplify]: Simplify 1.0 into 1.0
14.005 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
14.005 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
14.005 * [taylor]: Taking taylor expansion of J in J
14.005 * [backup-simplify]: Simplify 0 into 0
14.005 * [backup-simplify]: Simplify 1 into 1
14.005 * [backup-simplify]: Simplify 0 into 0
14.005 * [backup-simplify]: Simplify 0 into 0
14.007 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 1) (* 0 0)) into (sqrt 1.0)
14.008 * [backup-simplify]: Simplify (+ (* -2.0 (sqrt 1.0)) (* 0 0)) into (- (* 2.0 (sqrt 1.0)))
14.010 * [backup-simplify]: Simplify (- (* 2.0 (sqrt 1.0))) into (- (* 2.0 (sqrt 1.0)))
14.011 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.011 * [backup-simplify]: Simplify (+ 0) into 0
14.012 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (* 0 1)) into 0
14.012 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 K)) into 0
14.013 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.013 * [backup-simplify]: Simplify (+ (* (sin (* 0.5 K)) 0) (* 0 0)) into 0
14.014 * [backup-simplify]: Simplify (- 0) into 0
14.014 * [backup-simplify]: Simplify (+ 0 0) into 0
14.014 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (* 0 (cos (* 0.5 K)))) into 0
14.015 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
14.015 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (* 0 (pow (cos (* 0.5 K)) 2))) into 0
14.016 * [backup-simplify]: Simplify (- (/ 0 (* (pow J 2) (pow (cos (* 0.5 K)) 2))) (+ (* (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2))) (/ 0 (* (pow J 2) (pow (cos (* 0.5 K)) 2)))))) into 0
14.017 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ 1 (* (pow J 2) (pow (cos (* 0.5 K)) 2))))) into 0
14.017 * [backup-simplify]: Simplify (+ 0 0) into 0
14.019 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.125 (* (sqrt 1.0) (* (pow J 2) (pow (cos (* 0.5 K)) 2)))))))) (* 2 (sqrt 1.0))) into 0
14.020 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
14.021 * [backup-simplify]: Simplify (+ (* (cos (* 0.5 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.022 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0
14.024 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
14.024 * [backup-simplify]: Simplify (+ (* (sin (* 0.5 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
14.024 * [backup-simplify]: Simplify (- 0) into 0
14.025 * [backup-simplify]: Simplify (+ 0 0) into 0
14.025 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 0.5 K)))))) into 0
14.026 * [backup-simplify]: Simplify (+ (* (* J (cos (* 0.5 K))) 0) (+ (* 0 (/ 0.125 (* (sqrt 1.0) (* (pow J 2) (pow (cos (* 0.5 K)) 2))))) (+ (* 0 0) (* 0 (sqrt 1.0))))) into 0
14.027 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 (* 0.125 (/ 1 (* (sqrt 1.0) (* J (cos (* 0.5 K))))))) (+ (* 0 0) (* 0 (* (sqrt 1.0) (* J (cos (* 0.5 K)))))))) into 0
14.027 * [taylor]: Taking taylor expansion of 0 in K
14.028 * [backup-simplify]: Simplify 0 into 0
14.028 * [taylor]: Taking taylor expansion of 0 in J
14.028 * [backup-simplify]: Simplify 0 into 0
14.028 * [backup-simplify]: Simplify (+ 0) into 0
14.028 * [backup-simplify]: Simplify (+ (* J 0) (* 0 1)) into 0
14.028 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 J)) into 0
14.029 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (sqrt 1.0) J)) (/ 0 (* (sqrt 1.0) J))))) into 0
14.030 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ 1 (* (sqrt 1.0) J)))) into 0
14.030 * [backup-simplify]: Simplify (- 0) into 0
14.030 * [taylor]: Taking taylor expansion of 0 in J
14.030 * [backup-simplify]: Simplify 0 into 0
14.030 * [taylor]: Taking taylor expansion of 0 in J
14.030 * [backup-simplify]: Simplify 0 into 0
14.031 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0
14.031 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0.5 1) 1) (/ (pow 0 1) 1)) 0) into 0
14.032 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 (- 0.125)) (+ (* 0 0) (* 0 1)))) into 0
14.033 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0
14.033 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 (- (* 0.125 J))) (+ (* 0 0) (* 0 J)))) into 0
14.034 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 (- (* 0.125 (* (sqrt 1.0) J)))) (+ (* 0 0) (* 0 (* (sqrt 1.0) J))))) into 0
14.034 * [taylor]: Taking taylor expansion of 0 in J
14.034 * [backup-simplify]: Simplify 0 into 0
14.035 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
14.036 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 1) (* 0 0))) into 0
14.036 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 1.0)) (/ 0 (sqrt 1.0))))) into 0
14.037 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ 1 (sqrt 1.0)))) into 0
14.037 * [backup-simplify]: Simplify (- 0) into 0
14.037 * [backup-simplify]: Simplify 0 into 0
14.037 * [backup-simplify]: Simplify 0 into 0
14.038 * [backup-simplify]: Simplify (* (sqrt 1.0) 0) into 0
14.038 * [backup-simplify]: Simplify (* 0.25 0) into 0
14.038 * [backup-simplify]: Simplify 0 into 0
14.038 * [backup-simplify]: Simplify 0 into 0
14.038 * [backup-simplify]: Simplify 0 into 0
14.039 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
14.039 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 1) (* 0 0))) into 0
14.040 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 (sqrt 1.0)) (* 0 0))) into 0
14.040 * [backup-simplify]: Simplify 0 into 0
14.043 * [backup-simplify]: Simplify (+ (* (- (* 2.0 (sqrt 1.0))) (* J (* 1 1))) (* (- (* 0.25 (/ 1 (sqrt 1.0)))) (* (/ 1 J) (* 1 (pow U 2))))) into (- (+ (* 2.0 (* (sqrt 1.0) J)) (* 0.25 (/ (pow U 2) (* (sqrt 1.0) J)))))
14.043 * [backup-simplify]: Simplify (* (sqrt (+ 1.0 (pow (/ (/ 1 U) (* (cos (/ (/ 1 K) 2.0)) (* 2.0 (/ 1 J)))) 2.0))) (* (* -2.0 (/ 1 J)) (cos (/ (/ 1 K) 2.0)))) into (* -2.0 (* (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) (/ (cos (/ 0.5 K)) J)))
14.043 * [approximate]: Taking taylor expansion of (* -2.0 (* (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) (/ (cos (/ 0.5 K)) J))) in (U K J) around 0
14.043 * [taylor]: Taking taylor expansion of (* -2.0 (* (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) (/ (cos (/ 0.5 K)) J))) in J
14.043 * [taylor]: Taking taylor expansion of -2.0 in J
14.043 * [backup-simplify]: Simplify -2.0 into -2.0
14.043 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) (/ (cos (/ 0.5 K)) J)) in J
14.043 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) in J
14.043 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0) in J
14.043 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) in J
14.043 * [taylor]: Taking taylor expansion of 0.25 in J
14.043 * [backup-simplify]: Simplify 0.25 into 0.25
14.043 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))) in J
14.044 * [taylor]: Taking taylor expansion of (pow J 2) in J
14.044 * [taylor]: Taking taylor expansion of J in J
14.044 * [backup-simplify]: Simplify 0 into 0
14.044 * [backup-simplify]: Simplify 1 into 1
14.044 * [taylor]: Taking taylor expansion of (* (pow (cos (/ 0.5 K)) 2) (pow U 2)) in J
14.044 * [taylor]: Taking taylor expansion of (pow (cos (/ 0.5 K)) 2) in J
14.044 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in J
14.044 * [taylor]: Taking taylor expansion of (/ 0.5 K) in J
14.044 * [taylor]: Taking taylor expansion of 0.5 in J
14.044 * [backup-simplify]: Simplify 0.5 into 0.5
14.044 * [taylor]: Taking taylor expansion of K in J
14.044 * [backup-simplify]: Simplify K into K
14.044 * [backup-simplify]: Simplify (/ 0.5 K) into (/ 0.5 K)
14.044 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
14.044 * [backup-simplify]: Simplify (sin (/ 0.5 K)) into (sin (/ 0.5 K))
14.044 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
14.044 * [backup-simplify]: Simplify (* (sin (/ 0.5 K)) 0) into 0
14.045 * [backup-simplify]: Simplify (- 0) into 0
14.045 * [backup-simplify]: Simplify (+ (cos (/ 0.5 K)) 0) into (cos (/ 0.5 K))
14.045 * [taylor]: Taking taylor expansion of (pow U 2) in J
14.045 * [taylor]: Taking taylor expansion of U in J
14.045 * [backup-simplify]: Simplify U into U
14.045 * [backup-simplify]: Simplify (* 1 1) into 1
14.045 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) (cos (/ 0.5 K))) into (pow (cos (/ 0.5 K)) 2)
14.045 * [backup-simplify]: Simplify (* U U) into (pow U 2)
14.046 * [backup-simplify]: Simplify (* (pow (cos (/ 0.5 K)) 2) (pow U 2)) into (* (pow U 2) (pow (cos (/ 0.5 K)) 2))
14.046 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 0.5 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 0.5 K)) 2)))
14.046 * [taylor]: Taking taylor expansion of 1.0 in J
14.046 * [backup-simplify]: Simplify 1.0 into 1.0
14.047 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
14.047 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
14.047 * [backup-simplify]: Simplify (+ 0 0) into 0
14.048 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
14.048 * [taylor]: Taking taylor expansion of (/ (cos (/ 0.5 K)) J) in J
14.048 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in J
14.048 * [taylor]: Taking taylor expansion of (/ 0.5 K) in J
14.048 * [taylor]: Taking taylor expansion of 0.5 in J
14.048 * [backup-simplify]: Simplify 0.5 into 0.5
14.048 * [taylor]: Taking taylor expansion of K in J
14.048 * [backup-simplify]: Simplify K into K
14.049 * [backup-simplify]: Simplify (/ 0.5 K) into (/ 0.5 K)
14.049 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
14.049 * [backup-simplify]: Simplify (sin (/ 0.5 K)) into (sin (/ 0.5 K))
14.049 * [taylor]: Taking taylor expansion of J in J
14.049 * [backup-simplify]: Simplify 0 into 0
14.049 * [backup-simplify]: Simplify 1 into 1
14.049 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
14.049 * [backup-simplify]: Simplify (* (sin (/ 0.5 K)) 0) into 0
14.049 * [backup-simplify]: Simplify (- 0) into 0
14.050 * [backup-simplify]: Simplify (+ (cos (/ 0.5 K)) 0) into (cos (/ 0.5 K))
14.050 * [backup-simplify]: Simplify (/ (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
14.050 * [taylor]: Taking taylor expansion of (* -2.0 (* (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) (/ (cos (/ 0.5 K)) J))) in K
14.050 * [taylor]: Taking taylor expansion of -2.0 in K
14.050 * [backup-simplify]: Simplify -2.0 into -2.0
14.050 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) (/ (cos (/ 0.5 K)) J)) in K
14.050 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) in K
14.050 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0) in K
14.050 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) in K
14.050 * [taylor]: Taking taylor expansion of 0.25 in K
14.050 * [backup-simplify]: Simplify 0.25 into 0.25
14.050 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))) in K
14.050 * [taylor]: Taking taylor expansion of (pow J 2) in K
14.050 * [taylor]: Taking taylor expansion of J in K
14.050 * [backup-simplify]: Simplify J into J
14.050 * [taylor]: Taking taylor expansion of (* (pow (cos (/ 0.5 K)) 2) (pow U 2)) in K
14.050 * [taylor]: Taking taylor expansion of (pow (cos (/ 0.5 K)) 2) in K
14.050 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in K
14.050 * [taylor]: Taking taylor expansion of (/ 0.5 K) in K
14.050 * [taylor]: Taking taylor expansion of 0.5 in K
14.050 * [backup-simplify]: Simplify 0.5 into 0.5
14.050 * [taylor]: Taking taylor expansion of K in K
14.050 * [backup-simplify]: Simplify 0 into 0
14.050 * [backup-simplify]: Simplify 1 into 1
14.051 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5
14.051 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
14.051 * [taylor]: Taking taylor expansion of (pow U 2) in K
14.051 * [taylor]: Taking taylor expansion of U in K
14.051 * [backup-simplify]: Simplify U into U
14.051 * [backup-simplify]: Simplify (* J J) into (pow J 2)
14.051 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) (cos (/ 0.5 K))) into (pow (cos (/ 0.5 K)) 2)
14.051 * [backup-simplify]: Simplify (* U U) into (pow U 2)
14.052 * [backup-simplify]: Simplify (* (pow (cos (/ 0.5 K)) 2) (pow U 2)) into (* (pow U 2) (pow (cos (/ 0.5 K)) 2))
14.052 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 0.5 K)) 2))) into (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))
14.052 * [taylor]: Taking taylor expansion of 1.0 in K
14.052 * [backup-simplify]: Simplify 1.0 into 1.0
14.053 * [backup-simplify]: Simplify (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) into (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))))
14.053 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0) into (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)
14.054 * [backup-simplify]: Simplify (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) into (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0))
14.054 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
14.054 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
14.054 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 (cos (/ 0.5 K)))) into 0
14.055 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 0.5 K)) 2) 0) (* 0 (pow U 2))) into 0
14.056 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 0.5 K)) 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))) (/ 0 (* (pow U 2) (pow (cos (/ 0.5 K)) 2)))))) into 0
14.057 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))))) into 0
14.057 * [backup-simplify]: Simplify (+ 0 0) into 0
14.058 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)))) into 0
14.058 * [taylor]: Taking taylor expansion of (/ (cos (/ 0.5 K)) J) in K
14.058 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in K
14.058 * [taylor]: Taking taylor expansion of (/ 0.5 K) in K
14.058 * [taylor]: Taking taylor expansion of 0.5 in K
14.058 * [backup-simplify]: Simplify 0.5 into 0.5
14.058 * [taylor]: Taking taylor expansion of K in K
14.058 * [backup-simplify]: Simplify 0 into 0
14.058 * [backup-simplify]: Simplify 1 into 1
14.059 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5
14.059 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
14.059 * [taylor]: Taking taylor expansion of J in K
14.059 * [backup-simplify]: Simplify J into J
14.059 * [backup-simplify]: Simplify (/ (cos (/ 0.5 K)) J) into (/ (cos (/ 0.5 K)) J)
14.059 * [taylor]: Taking taylor expansion of (* -2.0 (* (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) (/ (cos (/ 0.5 K)) J))) in U
14.059 * [taylor]: Taking taylor expansion of -2.0 in U
14.059 * [backup-simplify]: Simplify -2.0 into -2.0
14.059 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) (/ (cos (/ 0.5 K)) J)) in U
14.059 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) in U
14.059 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0) in U
14.059 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) in U
14.059 * [taylor]: Taking taylor expansion of 0.25 in U
14.059 * [backup-simplify]: Simplify 0.25 into 0.25
14.059 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))) in U
14.059 * [taylor]: Taking taylor expansion of (pow J 2) in U
14.059 * [taylor]: Taking taylor expansion of J in U
14.059 * [backup-simplify]: Simplify J into J
14.060 * [taylor]: Taking taylor expansion of (* (pow (cos (/ 0.5 K)) 2) (pow U 2)) in U
14.060 * [taylor]: Taking taylor expansion of (pow (cos (/ 0.5 K)) 2) in U
14.060 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in U
14.060 * [taylor]: Taking taylor expansion of (/ 0.5 K) in U
14.060 * [taylor]: Taking taylor expansion of 0.5 in U
14.060 * [backup-simplify]: Simplify 0.5 into 0.5
14.060 * [taylor]: Taking taylor expansion of K in U
14.060 * [backup-simplify]: Simplify K into K
14.060 * [backup-simplify]: Simplify (/ 0.5 K) into (/ 0.5 K)
14.060 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
14.060 * [backup-simplify]: Simplify (sin (/ 0.5 K)) into (sin (/ 0.5 K))
14.060 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
14.060 * [backup-simplify]: Simplify (* (sin (/ 0.5 K)) 0) into 0
14.061 * [backup-simplify]: Simplify (- 0) into 0
14.061 * [backup-simplify]: Simplify (+ (cos (/ 0.5 K)) 0) into (cos (/ 0.5 K))
14.061 * [taylor]: Taking taylor expansion of (pow U 2) in U
14.061 * [taylor]: Taking taylor expansion of U in U
14.061 * [backup-simplify]: Simplify 0 into 0
14.061 * [backup-simplify]: Simplify 1 into 1
14.061 * [backup-simplify]: Simplify (* J J) into (pow J 2)
14.061 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) (cos (/ 0.5 K))) into (pow (cos (/ 0.5 K)) 2)
14.062 * [backup-simplify]: Simplify (* 1 1) into 1
14.062 * [backup-simplify]: Simplify (* (pow (cos (/ 0.5 K)) 2) 1) into (pow (cos (/ 0.5 K)) 2)
14.062 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)) into (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))
14.062 * [taylor]: Taking taylor expansion of 1.0 in U
14.062 * [backup-simplify]: Simplify 1.0 into 1.0
14.062 * [backup-simplify]: Simplify (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))) into (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))
14.063 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))) 0) into (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))
14.063 * [backup-simplify]: Simplify (sqrt (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) into (/ (* (sqrt 0.25) J) (cos (/ 0.5 K)))
14.063 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
14.064 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.065 * [backup-simplify]: Simplify (+ 0) into 0
14.065 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 1)) into 0
14.065 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)))) into 0
14.066 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.067 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (* 0 0)) into 0
14.067 * [backup-simplify]: Simplify (- 0) into 0
14.067 * [backup-simplify]: Simplify (+ 0 0) into 0
14.068 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 (cos (/ 0.5 K)))) into 0
14.068 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 0.5 K)) 2) 0) (* 0 1)) into 0
14.069 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 0.5 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)) (/ 0 (pow (cos (/ 0.5 K)) 2))))) into 0
14.070 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) into 0
14.070 * [backup-simplify]: Simplify (+ 0 0) into 0
14.071 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))))) into 0
14.071 * [taylor]: Taking taylor expansion of (/ (cos (/ 0.5 K)) J) in U
14.071 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in U
14.071 * [taylor]: Taking taylor expansion of (/ 0.5 K) in U
14.071 * [taylor]: Taking taylor expansion of 0.5 in U
14.071 * [backup-simplify]: Simplify 0.5 into 0.5
14.071 * [taylor]: Taking taylor expansion of K in U
14.071 * [backup-simplify]: Simplify K into K
14.071 * [backup-simplify]: Simplify (/ 0.5 K) into (/ 0.5 K)
14.071 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
14.071 * [backup-simplify]: Simplify (sin (/ 0.5 K)) into (sin (/ 0.5 K))
14.071 * [taylor]: Taking taylor expansion of J in U
14.071 * [backup-simplify]: Simplify J into J
14.072 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
14.072 * [backup-simplify]: Simplify (* (sin (/ 0.5 K)) 0) into 0
14.072 * [backup-simplify]: Simplify (- 0) into 0
14.072 * [backup-simplify]: Simplify (+ (cos (/ 0.5 K)) 0) into (cos (/ 0.5 K))
14.072 * [backup-simplify]: Simplify (/ (cos (/ 0.5 K)) J) into (/ (cos (/ 0.5 K)) J)
14.072 * [taylor]: Taking taylor expansion of (* -2.0 (* (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) (/ (cos (/ 0.5 K)) J))) in U
14.072 * [taylor]: Taking taylor expansion of -2.0 in U
14.072 * [backup-simplify]: Simplify -2.0 into -2.0
14.072 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) (/ (cos (/ 0.5 K)) J)) in U
14.073 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0)) in U
14.073 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) 1.0) in U
14.073 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2)))) in U
14.073 * [taylor]: Taking taylor expansion of 0.25 in U
14.073 * [backup-simplify]: Simplify 0.25 into 0.25
14.073 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ 0.5 K)) 2) (pow U 2))) in U
14.073 * [taylor]: Taking taylor expansion of (pow J 2) in U
14.073 * [taylor]: Taking taylor expansion of J in U
14.073 * [backup-simplify]: Simplify J into J
14.073 * [taylor]: Taking taylor expansion of (* (pow (cos (/ 0.5 K)) 2) (pow U 2)) in U
14.073 * [taylor]: Taking taylor expansion of (pow (cos (/ 0.5 K)) 2) in U
14.073 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in U
14.073 * [taylor]: Taking taylor expansion of (/ 0.5 K) in U
14.073 * [taylor]: Taking taylor expansion of 0.5 in U
14.073 * [backup-simplify]: Simplify 0.5 into 0.5
14.073 * [taylor]: Taking taylor expansion of K in U
14.073 * [backup-simplify]: Simplify K into K
14.073 * [backup-simplify]: Simplify (/ 0.5 K) into (/ 0.5 K)
14.073 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
14.073 * [backup-simplify]: Simplify (sin (/ 0.5 K)) into (sin (/ 0.5 K))
14.073 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
14.073 * [backup-simplify]: Simplify (* (sin (/ 0.5 K)) 0) into 0
14.074 * [backup-simplify]: Simplify (- 0) into 0
14.074 * [backup-simplify]: Simplify (+ (cos (/ 0.5 K)) 0) into (cos (/ 0.5 K))
14.074 * [taylor]: Taking taylor expansion of (pow U 2) in U
14.074 * [taylor]: Taking taylor expansion of U in U
14.074 * [backup-simplify]: Simplify 0 into 0
14.074 * [backup-simplify]: Simplify 1 into 1
14.074 * [backup-simplify]: Simplify (* J J) into (pow J 2)
14.074 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) (cos (/ 0.5 K))) into (pow (cos (/ 0.5 K)) 2)
14.075 * [backup-simplify]: Simplify (* 1 1) into 1
14.075 * [backup-simplify]: Simplify (* (pow (cos (/ 0.5 K)) 2) 1) into (pow (cos (/ 0.5 K)) 2)
14.075 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)) into (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))
14.075 * [taylor]: Taking taylor expansion of 1.0 in U
14.075 * [backup-simplify]: Simplify 1.0 into 1.0
14.076 * [backup-simplify]: Simplify (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))) into (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))
14.076 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))) 0) into (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))
14.077 * [backup-simplify]: Simplify (sqrt (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) into (/ (* (sqrt 0.25) J) (cos (/ 0.5 K)))
14.077 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
14.078 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.078 * [backup-simplify]: Simplify (+ 0) into 0
14.078 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 1)) into 0
14.079 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)))) into 0
14.079 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.080 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (* 0 0)) into 0
14.080 * [backup-simplify]: Simplify (- 0) into 0
14.081 * [backup-simplify]: Simplify (+ 0 0) into 0
14.081 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 (cos (/ 0.5 K)))) into 0
14.082 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 0.5 K)) 2) 0) (* 0 1)) into 0
14.082 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 0.5 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)) (/ 0 (pow (cos (/ 0.5 K)) 2))))) into 0
14.083 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))) into 0
14.084 * [backup-simplify]: Simplify (+ 0 0) into 0
14.084 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 0.25 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))))) into 0
14.084 * [taylor]: Taking taylor expansion of (/ (cos (/ 0.5 K)) J) in U
14.084 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in U
14.084 * [taylor]: Taking taylor expansion of (/ 0.5 K) in U
14.084 * [taylor]: Taking taylor expansion of 0.5 in U
14.084 * [backup-simplify]: Simplify 0.5 into 0.5
14.084 * [taylor]: Taking taylor expansion of K in U
14.084 * [backup-simplify]: Simplify K into K
14.084 * [backup-simplify]: Simplify (/ 0.5 K) into (/ 0.5 K)
14.084 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
14.084 * [backup-simplify]: Simplify (sin (/ 0.5 K)) into (sin (/ 0.5 K))
14.084 * [taylor]: Taking taylor expansion of J in U
14.085 * [backup-simplify]: Simplify J into J
14.085 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
14.085 * [backup-simplify]: Simplify (* (sin (/ 0.5 K)) 0) into 0
14.085 * [backup-simplify]: Simplify (- 0) into 0
14.085 * [backup-simplify]: Simplify (+ (cos (/ 0.5 K)) 0) into (cos (/ 0.5 K))
14.085 * [backup-simplify]: Simplify (/ (cos (/ 0.5 K)) J) into (/ (cos (/ 0.5 K)) J)
14.086 * [backup-simplify]: Simplify (* (/ (* (sqrt 0.25) J) (cos (/ 0.5 K))) (/ (cos (/ 0.5 K)) J)) into (sqrt 0.25)
14.087 * [backup-simplify]: Simplify (* -2.0 (sqrt 0.25)) into (* -2.0 (sqrt 0.25))
14.087 * [taylor]: Taking taylor expansion of (* -2.0 (sqrt 0.25)) in K
14.087 * [taylor]: Taking taylor expansion of -2.0 in K
14.087 * [backup-simplify]: Simplify -2.0 into -2.0
14.087 * [taylor]: Taking taylor expansion of (sqrt 0.25) in K
14.087 * [taylor]: Taking taylor expansion of 0.25 in K
14.087 * [backup-simplify]: Simplify 0.25 into 0.25
14.088 * [backup-simplify]: Simplify (sqrt 0.25) into (sqrt 0.25)
14.088 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.25))) into 0
14.089 * [backup-simplify]: Simplify (* -2.0 (sqrt 0.25)) into (* -2.0 (sqrt 0.25))
14.089 * [taylor]: Taking taylor expansion of (* -2.0 (sqrt 0.25)) in J
14.089 * [taylor]: Taking taylor expansion of -2.0 in J
14.089 * [backup-simplify]: Simplify -2.0 into -2.0
14.089 * [taylor]: Taking taylor expansion of (sqrt 0.25) in J
14.089 * [taylor]: Taking taylor expansion of 0.25 in J
14.089 * [backup-simplify]: Simplify 0.25 into 0.25
14.090 * [backup-simplify]: Simplify (sqrt 0.25) into (sqrt 0.25)
14.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.25))) into 0
14.091 * [backup-simplify]: Simplify (+ 0) into 0
14.092 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 1)) into 0
14.092 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)))) into 0
14.093 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.093 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (* 0 0)) into 0
14.094 * [backup-simplify]: Simplify (- 0) into 0
14.094 * [backup-simplify]: Simplify (+ 0 0) into 0
14.094 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 0.5 K)) J) (/ 0 J)))) into 0
14.095 * [backup-simplify]: Simplify (+ (* (/ (* (sqrt 0.25) J) (cos (/ 0.5 K))) 0) (* 0 (/ (cos (/ 0.5 K)) J))) into 0
14.096 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 (sqrt 0.25))) into 0
14.096 * [taylor]: Taking taylor expansion of 0 in K
14.096 * [backup-simplify]: Simplify 0 into 0
14.096 * [taylor]: Taking taylor expansion of 0 in J
14.096 * [backup-simplify]: Simplify 0 into 0
14.096 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 (sqrt 0.25))) into 0
14.096 * [taylor]: Taking taylor expansion of 0 in J
14.096 * [backup-simplify]: Simplify 0 into 0
14.097 * [backup-simplify]: Simplify (* -2.0 (sqrt 0.25)) into (* -2.0 (sqrt 0.25))
14.098 * [backup-simplify]: Simplify (* -2.0 (sqrt 0.25)) into (* -2.0 (sqrt 0.25))
14.098 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
14.099 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (+ (* 0 0) (* 0 1))) into 0
14.099 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
14.099 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.100 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (+ (* 0 0) (* 0 0))) into 0
14.100 * [backup-simplify]: Simplify (- 0) into 0
14.100 * [backup-simplify]: Simplify (+ 0 0) into 0
14.100 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 0.5 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0
14.101 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
14.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.102 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
14.102 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (+ (* 0 0) (* 0 1))) into 0
14.102 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
14.103 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.103 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (+ (* 0 0) (* 0 0))) into 0
14.104 * [backup-simplify]: Simplify (- 0) into 0
14.104 * [backup-simplify]: Simplify (+ 0 0) into 0
14.104 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (+ (* 0 0) (* 0 (cos (/ 0.5 K))))) into 0
14.105 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 0.5 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
14.105 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 0.5 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)) (/ 0 (pow (cos (/ 0.5 K)) 2))) (* 0 (/ 0 (pow (cos (/ 0.5 K)) 2))))) into 0
14.106 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2))))) into 0
14.106 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
14.107 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (/ (* (sqrt 0.25) J) (cos (/ 0.5 K))))) into (* 0.5 (/ (cos (/ 0.5 K)) (* (sqrt 0.25) J)))
14.108 * [backup-simplify]: Simplify (+ (* (/ (* (sqrt 0.25) J) (cos (/ 0.5 K))) 0) (+ (* 0 0) (* (* 0.5 (/ (cos (/ 0.5 K)) (* (sqrt 0.25) J))) (/ (cos (/ 0.5 K)) J)))) into (* 0.5 (/ (pow (cos (/ 0.5 K)) 2) (* (sqrt 0.25) (pow J 2))))
14.110 * [backup-simplify]: Simplify (+ (* -2.0 (* 0.5 (/ (pow (cos (/ 0.5 K)) 2) (* (sqrt 0.25) (pow J 2))))) (+ (* 0 0) (* 0 (sqrt 0.25)))) into (- (* 1.0 (/ (pow (cos (/ 0.5 K)) 2) (* (sqrt 0.25) (pow J 2)))))
14.110 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ (pow (cos (/ 0.5 K)) 2) (* (sqrt 0.25) (pow J 2))))) in K
14.110 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (cos (/ 0.5 K)) 2) (* (sqrt 0.25) (pow J 2)))) in K
14.110 * [taylor]: Taking taylor expansion of 1.0 in K
14.110 * [backup-simplify]: Simplify 1.0 into 1.0
14.110 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 0.5 K)) 2) (* (sqrt 0.25) (pow J 2))) in K
14.110 * [taylor]: Taking taylor expansion of (pow (cos (/ 0.5 K)) 2) in K
14.110 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in K
14.110 * [taylor]: Taking taylor expansion of (/ 0.5 K) in K
14.110 * [taylor]: Taking taylor expansion of 0.5 in K
14.110 * [backup-simplify]: Simplify 0.5 into 0.5
14.110 * [taylor]: Taking taylor expansion of K in K
14.110 * [backup-simplify]: Simplify 0 into 0
14.110 * [backup-simplify]: Simplify 1 into 1
14.110 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5
14.110 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
14.110 * [taylor]: Taking taylor expansion of (* (sqrt 0.25) (pow J 2)) in K
14.110 * [taylor]: Taking taylor expansion of (sqrt 0.25) in K
14.110 * [taylor]: Taking taylor expansion of 0.25 in K
14.110 * [backup-simplify]: Simplify 0.25 into 0.25
14.111 * [backup-simplify]: Simplify (sqrt 0.25) into (sqrt 0.25)
14.111 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.25))) into 0
14.111 * [taylor]: Taking taylor expansion of (pow J 2) in K
14.111 * [taylor]: Taking taylor expansion of J in K
14.111 * [backup-simplify]: Simplify J into J
14.111 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) (cos (/ 0.5 K))) into (pow (cos (/ 0.5 K)) 2)
14.111 * [backup-simplify]: Simplify (* J J) into (pow J 2)
14.112 * [backup-simplify]: Simplify (* (sqrt 0.25) (pow J 2)) into (* (sqrt 0.25) (pow J 2))
14.112 * [backup-simplify]: Simplify (/ (pow (cos (/ 0.5 K)) 2) (* (sqrt 0.25) (pow J 2))) into (/ (pow (cos (/ 0.5 K)) 2) (* (sqrt 0.25) (pow J 2)))
14.112 * [backup-simplify]: Simplify (* 1.0 (/ (pow (cos (/ 0.5 K)) 2) (* (sqrt 0.25) (pow J 2)))) into (* 1.0 (/ (pow (cos (/ 0.5 K)) 2) (* (sqrt 0.25) (pow J 2))))
14.113 * [backup-simplify]: Simplify (- (* 1.0 (/ (pow (cos (/ 0.5 K)) 2) (* (sqrt 0.25) (pow J 2))))) into (- (* 1.0 (/ (pow (cos (/ 0.5 K)) 2) (* (sqrt 0.25) (pow J 2)))))
14.113 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ (pow (cos (/ 0.5 K)) 2) (* (sqrt 0.25) (pow J 2))))) in J
14.113 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (cos (/ 0.5 K)) 2) (* (sqrt 0.25) (pow J 2)))) in J
14.113 * [taylor]: Taking taylor expansion of 1.0 in J
14.113 * [backup-simplify]: Simplify 1.0 into 1.0
14.113 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 0.5 K)) 2) (* (sqrt 0.25) (pow J 2))) in J
14.113 * [taylor]: Taking taylor expansion of (pow (cos (/ 0.5 K)) 2) in J
14.113 * [taylor]: Taking taylor expansion of (cos (/ 0.5 K)) in J
14.113 * [taylor]: Taking taylor expansion of (/ 0.5 K) in J
14.113 * [taylor]: Taking taylor expansion of 0.5 in J
14.113 * [backup-simplify]: Simplify 0.5 into 0.5
14.113 * [taylor]: Taking taylor expansion of K in J
14.113 * [backup-simplify]: Simplify K into K
14.113 * [backup-simplify]: Simplify (/ 0.5 K) into (/ 0.5 K)
14.113 * [backup-simplify]: Simplify (cos (/ 0.5 K)) into (cos (/ 0.5 K))
14.113 * [backup-simplify]: Simplify (sin (/ 0.5 K)) into (sin (/ 0.5 K))
14.113 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) 1) into (cos (/ 0.5 K))
14.113 * [backup-simplify]: Simplify (* (sin (/ 0.5 K)) 0) into 0
14.114 * [backup-simplify]: Simplify (- 0) into 0
14.114 * [backup-simplify]: Simplify (+ (cos (/ 0.5 K)) 0) into (cos (/ 0.5 K))
14.114 * [taylor]: Taking taylor expansion of (* (sqrt 0.25) (pow J 2)) in J
14.114 * [taylor]: Taking taylor expansion of (sqrt 0.25) in J
14.114 * [taylor]: Taking taylor expansion of 0.25 in J
14.114 * [backup-simplify]: Simplify 0.25 into 0.25
14.114 * [backup-simplify]: Simplify (sqrt 0.25) into (sqrt 0.25)
14.115 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.25))) into 0
14.115 * [taylor]: Taking taylor expansion of (pow J 2) in J
14.115 * [taylor]: Taking taylor expansion of J in J
14.115 * [backup-simplify]: Simplify 0 into 0
14.115 * [backup-simplify]: Simplify 1 into 1
14.115 * [backup-simplify]: Simplify (* (cos (/ 0.5 K)) (cos (/ 0.5 K))) into (pow (cos (/ 0.5 K)) 2)
14.115 * [backup-simplify]: Simplify (* 1 1) into 1
14.116 * [backup-simplify]: Simplify (* (sqrt 0.25) 1) into (sqrt 0.25)
14.116 * [backup-simplify]: Simplify (/ (pow (cos (/ 0.5 K)) 2) (sqrt 0.25)) into (/ (pow (cos (/ 0.5 K)) 2) (sqrt 0.25))
14.116 * [backup-simplify]: Simplify (+ 0) into 0
14.117 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 1)) into 0
14.117 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)))) into 0
14.117 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.118 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (* 0 0)) into 0
14.118 * [backup-simplify]: Simplify (- 0) into 0
14.118 * [backup-simplify]: Simplify (+ 0 0) into 0
14.118 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 (cos (/ 0.5 K)))) into 0
14.119 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.119 * [backup-simplify]: Simplify (+ (* (sqrt 0.25) 0) (* 0 1)) into 0
14.120 * [backup-simplify]: Simplify (- (/ 0 (sqrt 0.25)) (+ (* (/ (pow (cos (/ 0.5 K)) 2) (sqrt 0.25)) (/ 0 (sqrt 0.25))))) into 0
14.121 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (/ (pow (cos (/ 0.5 K)) 2) (sqrt 0.25)))) into 0
14.121 * [backup-simplify]: Simplify (- 0) into 0
14.121 * [backup-simplify]: Simplify 0 into 0
14.122 * [taylor]: Taking taylor expansion of 0 in J
14.122 * [backup-simplify]: Simplify 0 into 0
14.122 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.25))) into 0
14.123 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 (sqrt 0.25)))) into 0
14.123 * [taylor]: Taking taylor expansion of 0 in J
14.123 * [backup-simplify]: Simplify 0 into 0
14.123 * [backup-simplify]: Simplify 0 into 0
14.123 * [backup-simplify]: Simplify 0 into 0
14.123 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 (sqrt 0.25))) into 0
14.123 * [backup-simplify]: Simplify 0 into 0
14.124 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
14.125 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.125 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
14.127 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
14.128 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
14.129 * [backup-simplify]: Simplify (- 0) into 0
14.129 * [backup-simplify]: Simplify (+ 0 0) into 0
14.129 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 0.5 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0
14.130 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
14.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.132 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
14.133 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.133 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
14.135 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
14.136 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
14.136 * [backup-simplify]: Simplify (- 0) into 0
14.137 * [backup-simplify]: Simplify (+ 0 0) into 0
14.138 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 0.5 K)))))) into 0
14.139 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 0.5 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.140 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 0.5 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)) (/ 0 (pow (cos (/ 0.5 K)) 2))) (* 0 (/ 0 (pow (cos (/ 0.5 K)) 2))) (* 0 (/ 0 (pow (cos (/ 0.5 K)) 2))))) into 0
14.141 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 0.5 K)) 2)))))) into 0
14.142 * [backup-simplify]: Simplify (+ 0 0) into 0
14.143 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 0.5 (/ (cos (/ 0.5 K)) (* (sqrt 0.25) J))))))) (* 2 (/ (* (sqrt 0.25) J) (cos (/ 0.5 K))))) into 0
14.145 * [backup-simplify]: Simplify (+ (* (/ (* (sqrt 0.25) J) (cos (/ 0.5 K))) 0) (+ (* 0 0) (+ (* (* 0.5 (/ (cos (/ 0.5 K)) (* (sqrt 0.25) J))) 0) (* 0 (/ (cos (/ 0.5 K)) J))))) into 0
14.147 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 (* 0.5 (/ (pow (cos (/ 0.5 K)) 2) (* (sqrt 0.25) (pow J 2))))) (+ (* 0 0) (* 0 (sqrt 0.25))))) into 0
14.147 * [taylor]: Taking taylor expansion of 0 in K
14.147 * [backup-simplify]: Simplify 0 into 0
14.147 * [taylor]: Taking taylor expansion of 0 in J
14.147 * [backup-simplify]: Simplify 0 into 0
14.147 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (* 0 (cos (/ 0.5 K)))) into 0
14.147 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
14.148 * [backup-simplify]: Simplify (+ (* (sqrt 0.25) 0) (* 0 (pow J 2))) into 0
14.150 * [backup-simplify]: Simplify (- (/ 0 (* (sqrt 0.25) (pow J 2))) (+ (* (/ (pow (cos (/ 0.5 K)) 2) (* (sqrt 0.25) (pow J 2))) (/ 0 (* (sqrt 0.25) (pow J 2)))))) into 0
14.151 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (/ (pow (cos (/ 0.5 K)) 2) (* (sqrt 0.25) (pow J 2))))) into 0
14.151 * [backup-simplify]: Simplify (- 0) into 0
14.151 * [taylor]: Taking taylor expansion of 0 in J
14.151 * [backup-simplify]: Simplify 0 into 0
14.151 * [taylor]: Taking taylor expansion of 0 in J
14.151 * [backup-simplify]: Simplify 0 into 0
14.153 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.25))) into 0
14.154 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.25))))) into 0
14.154 * [taylor]: Taking taylor expansion of 0 in J
14.154 * [backup-simplify]: Simplify 0 into 0
14.155 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
14.156 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (+ (* 0 0) (* 0 1))) into 0
14.156 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 0.5 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
14.157 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.158 * [backup-simplify]: Simplify (+ (* (sin (/ 0.5 K)) 0) (+ (* 0 0) (* 0 0))) into 0
14.158 * [backup-simplify]: Simplify (- 0) into 0
14.159 * [backup-simplify]: Simplify (+ 0 0) into 0
14.159 * [backup-simplify]: Simplify (+ (* (cos (/ 0.5 K)) 0) (+ (* 0 0) (* 0 (cos (/ 0.5 K))))) into 0
14.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.162 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.25))) into 0
14.163 * [backup-simplify]: Simplify (+ (* (sqrt 0.25) 0) (+ (* 0 0) (* 0 1))) into 0
14.165 * [backup-simplify]: Simplify (- (/ 0 (sqrt 0.25)) (+ (* (/ (pow (cos (/ 0.5 K)) 2) (sqrt 0.25)) (/ 0 (sqrt 0.25))) (* 0 (/ 0 (sqrt 0.25))))) into 0
14.167 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (/ (pow (cos (/ 0.5 K)) 2) (sqrt 0.25))))) into 0
14.167 * [backup-simplify]: Simplify (- 0) into 0
14.167 * [backup-simplify]: Simplify 0 into 0
14.167 * [backup-simplify]: Simplify 0 into 0
14.168 * [backup-simplify]: Simplify (* (* -2.0 (sqrt 0.25)) (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -2.0 (* (sqrt 0.25) U))
14.169 * [backup-simplify]: Simplify (* (sqrt (+ 1.0 (pow (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2.0)) (* 2.0 (/ 1 (- J))))) 2.0))) (* (* -2.0 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2.0)))) into (* 2.0 (* (/ (cos (/ -0.5 K)) J) (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0))))
14.169 * [approximate]: Taking taylor expansion of (* 2.0 (* (/ (cos (/ -0.5 K)) J) (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)))) in (U K J) around 0
14.169 * [taylor]: Taking taylor expansion of (* 2.0 (* (/ (cos (/ -0.5 K)) J) (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)))) in J
14.169 * [taylor]: Taking taylor expansion of 2.0 in J
14.169 * [backup-simplify]: Simplify 2.0 into 2.0
14.169 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -0.5 K)) J) (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0))) in J
14.169 * [taylor]: Taking taylor expansion of (/ (cos (/ -0.5 K)) J) in J
14.169 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in J
14.169 * [taylor]: Taking taylor expansion of (/ -0.5 K) in J
14.169 * [taylor]: Taking taylor expansion of -0.5 in J
14.169 * [backup-simplify]: Simplify -0.5 into -0.5
14.169 * [taylor]: Taking taylor expansion of K in J
14.169 * [backup-simplify]: Simplify K into K
14.169 * [backup-simplify]: Simplify (/ -0.5 K) into (/ -0.5 K)
14.170 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
14.170 * [backup-simplify]: Simplify (sin (/ -0.5 K)) into (sin (/ -0.5 K))
14.170 * [taylor]: Taking taylor expansion of J in J
14.170 * [backup-simplify]: Simplify 0 into 0
14.170 * [backup-simplify]: Simplify 1 into 1
14.170 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
14.170 * [backup-simplify]: Simplify (* (sin (/ -0.5 K)) 0) into 0
14.170 * [backup-simplify]: Simplify (- 0) into 0
14.171 * [backup-simplify]: Simplify (+ (cos (/ -0.5 K)) 0) into (cos (/ -0.5 K))
14.171 * [backup-simplify]: Simplify (/ (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
14.171 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)) in J
14.171 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0) in J
14.171 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) in J
14.171 * [taylor]: Taking taylor expansion of 0.25 in J
14.171 * [backup-simplify]: Simplify 0.25 into 0.25
14.171 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) in J
14.171 * [taylor]: Taking taylor expansion of (pow J 2) in J
14.171 * [taylor]: Taking taylor expansion of J in J
14.171 * [backup-simplify]: Simplify 0 into 0
14.171 * [backup-simplify]: Simplify 1 into 1
14.171 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -0.5 K)) 2) (pow U 2)) in J
14.171 * [taylor]: Taking taylor expansion of (pow (cos (/ -0.5 K)) 2) in J
14.171 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in J
14.171 * [taylor]: Taking taylor expansion of (/ -0.5 K) in J
14.171 * [taylor]: Taking taylor expansion of -0.5 in J
14.171 * [backup-simplify]: Simplify -0.5 into -0.5
14.171 * [taylor]: Taking taylor expansion of K in J
14.171 * [backup-simplify]: Simplify K into K
14.172 * [backup-simplify]: Simplify (/ -0.5 K) into (/ -0.5 K)
14.172 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
14.172 * [backup-simplify]: Simplify (sin (/ -0.5 K)) into (sin (/ -0.5 K))
14.172 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
14.172 * [backup-simplify]: Simplify (* (sin (/ -0.5 K)) 0) into 0
14.172 * [backup-simplify]: Simplify (- 0) into 0
14.172 * [backup-simplify]: Simplify (+ (cos (/ -0.5 K)) 0) into (cos (/ -0.5 K))
14.173 * [taylor]: Taking taylor expansion of (pow U 2) in J
14.173 * [taylor]: Taking taylor expansion of U in J
14.173 * [backup-simplify]: Simplify U into U
14.173 * [backup-simplify]: Simplify (* 1 1) into 1
14.173 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) (cos (/ -0.5 K))) into (pow (cos (/ -0.5 K)) 2)
14.173 * [backup-simplify]: Simplify (* U U) into (pow U 2)
14.174 * [backup-simplify]: Simplify (* (pow (cos (/ -0.5 K)) 2) (pow U 2)) into (* (pow (cos (/ -0.5 K)) 2) (pow U 2))
14.174 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))
14.174 * [taylor]: Taking taylor expansion of 1.0 in J
14.174 * [backup-simplify]: Simplify 1.0 into 1.0
14.174 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
14.175 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
14.175 * [backup-simplify]: Simplify (+ 0 0) into 0
14.176 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
14.176 * [taylor]: Taking taylor expansion of (* 2.0 (* (/ (cos (/ -0.5 K)) J) (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)))) in K
14.176 * [taylor]: Taking taylor expansion of 2.0 in K
14.176 * [backup-simplify]: Simplify 2.0 into 2.0
14.176 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -0.5 K)) J) (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0))) in K
14.176 * [taylor]: Taking taylor expansion of (/ (cos (/ -0.5 K)) J) in K
14.176 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in K
14.176 * [taylor]: Taking taylor expansion of (/ -0.5 K) in K
14.176 * [taylor]: Taking taylor expansion of -0.5 in K
14.176 * [backup-simplify]: Simplify -0.5 into -0.5
14.176 * [taylor]: Taking taylor expansion of K in K
14.176 * [backup-simplify]: Simplify 0 into 0
14.176 * [backup-simplify]: Simplify 1 into 1
14.177 * [backup-simplify]: Simplify (/ -0.5 1) into -0.5
14.177 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
14.177 * [taylor]: Taking taylor expansion of J in K
14.177 * [backup-simplify]: Simplify J into J
14.177 * [backup-simplify]: Simplify (/ (cos (/ -0.5 K)) J) into (/ (cos (/ -0.5 K)) J)
14.177 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)) in K
14.177 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0) in K
14.177 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) in K
14.177 * [taylor]: Taking taylor expansion of 0.25 in K
14.177 * [backup-simplify]: Simplify 0.25 into 0.25
14.177 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) in K
14.177 * [taylor]: Taking taylor expansion of (pow J 2) in K
14.177 * [taylor]: Taking taylor expansion of J in K
14.177 * [backup-simplify]: Simplify J into J
14.177 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -0.5 K)) 2) (pow U 2)) in K
14.177 * [taylor]: Taking taylor expansion of (pow (cos (/ -0.5 K)) 2) in K
14.177 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in K
14.178 * [taylor]: Taking taylor expansion of (/ -0.5 K) in K
14.178 * [taylor]: Taking taylor expansion of -0.5 in K
14.178 * [backup-simplify]: Simplify -0.5 into -0.5
14.178 * [taylor]: Taking taylor expansion of K in K
14.178 * [backup-simplify]: Simplify 0 into 0
14.178 * [backup-simplify]: Simplify 1 into 1
14.178 * [backup-simplify]: Simplify (/ -0.5 1) into -0.5
14.178 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
14.178 * [taylor]: Taking taylor expansion of (pow U 2) in K
14.178 * [taylor]: Taking taylor expansion of U in K
14.178 * [backup-simplify]: Simplify U into U
14.178 * [backup-simplify]: Simplify (* J J) into (pow J 2)
14.179 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) (cos (/ -0.5 K))) into (pow (cos (/ -0.5 K)) 2)
14.179 * [backup-simplify]: Simplify (* U U) into (pow U 2)
14.179 * [backup-simplify]: Simplify (* (pow (cos (/ -0.5 K)) 2) (pow U 2)) into (* (pow (cos (/ -0.5 K)) 2) (pow U 2))
14.179 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))
14.179 * [taylor]: Taking taylor expansion of 1.0 in K
14.179 * [backup-simplify]: Simplify 1.0 into 1.0
14.180 * [backup-simplify]: Simplify (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) into (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))))
14.181 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0) into (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)
14.181 * [backup-simplify]: Simplify (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)) into (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0))
14.181 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
14.181 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
14.182 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 (cos (/ -0.5 K)))) into 0
14.182 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -0.5 K)) 2) 0) (* 0 (pow U 2))) into 0
14.183 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))))) into 0
14.184 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))))) into 0
14.184 * [backup-simplify]: Simplify (+ 0 0) into 0
14.185 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)))) into 0
14.185 * [taylor]: Taking taylor expansion of (* 2.0 (* (/ (cos (/ -0.5 K)) J) (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)))) in U
14.185 * [taylor]: Taking taylor expansion of 2.0 in U
14.185 * [backup-simplify]: Simplify 2.0 into 2.0
14.185 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -0.5 K)) J) (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0))) in U
14.185 * [taylor]: Taking taylor expansion of (/ (cos (/ -0.5 K)) J) in U
14.185 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in U
14.185 * [taylor]: Taking taylor expansion of (/ -0.5 K) in U
14.185 * [taylor]: Taking taylor expansion of -0.5 in U
14.185 * [backup-simplify]: Simplify -0.5 into -0.5
14.185 * [taylor]: Taking taylor expansion of K in U
14.185 * [backup-simplify]: Simplify K into K
14.185 * [backup-simplify]: Simplify (/ -0.5 K) into (/ -0.5 K)
14.186 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
14.186 * [backup-simplify]: Simplify (sin (/ -0.5 K)) into (sin (/ -0.5 K))
14.186 * [taylor]: Taking taylor expansion of J in U
14.186 * [backup-simplify]: Simplify J into J
14.186 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
14.186 * [backup-simplify]: Simplify (* (sin (/ -0.5 K)) 0) into 0
14.186 * [backup-simplify]: Simplify (- 0) into 0
14.186 * [backup-simplify]: Simplify (+ (cos (/ -0.5 K)) 0) into (cos (/ -0.5 K))
14.187 * [backup-simplify]: Simplify (/ (cos (/ -0.5 K)) J) into (/ (cos (/ -0.5 K)) J)
14.187 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)) in U
14.187 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0) in U
14.187 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) in U
14.187 * [taylor]: Taking taylor expansion of 0.25 in U
14.187 * [backup-simplify]: Simplify 0.25 into 0.25
14.187 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) in U
14.187 * [taylor]: Taking taylor expansion of (pow J 2) in U
14.187 * [taylor]: Taking taylor expansion of J in U
14.187 * [backup-simplify]: Simplify J into J
14.187 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -0.5 K)) 2) (pow U 2)) in U
14.187 * [taylor]: Taking taylor expansion of (pow (cos (/ -0.5 K)) 2) in U
14.187 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in U
14.187 * [taylor]: Taking taylor expansion of (/ -0.5 K) in U
14.187 * [taylor]: Taking taylor expansion of -0.5 in U
14.187 * [backup-simplify]: Simplify -0.5 into -0.5
14.187 * [taylor]: Taking taylor expansion of K in U
14.187 * [backup-simplify]: Simplify K into K
14.187 * [backup-simplify]: Simplify (/ -0.5 K) into (/ -0.5 K)
14.187 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
14.187 * [backup-simplify]: Simplify (sin (/ -0.5 K)) into (sin (/ -0.5 K))
14.187 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
14.188 * [backup-simplify]: Simplify (* (sin (/ -0.5 K)) 0) into 0
14.188 * [backup-simplify]: Simplify (- 0) into 0
14.188 * [backup-simplify]: Simplify (+ (cos (/ -0.5 K)) 0) into (cos (/ -0.5 K))
14.188 * [taylor]: Taking taylor expansion of (pow U 2) in U
14.188 * [taylor]: Taking taylor expansion of U in U
14.188 * [backup-simplify]: Simplify 0 into 0
14.188 * [backup-simplify]: Simplify 1 into 1
14.188 * [backup-simplify]: Simplify (* J J) into (pow J 2)
14.188 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) (cos (/ -0.5 K))) into (pow (cos (/ -0.5 K)) 2)
14.189 * [backup-simplify]: Simplify (* 1 1) into 1
14.189 * [backup-simplify]: Simplify (* (pow (cos (/ -0.5 K)) 2) 1) into (pow (cos (/ -0.5 K)) 2)
14.189 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)) into (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))
14.189 * [taylor]: Taking taylor expansion of 1.0 in U
14.189 * [backup-simplify]: Simplify 1.0 into 1.0
14.189 * [backup-simplify]: Simplify (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))) into (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))
14.189 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))) 0) into (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))
14.190 * [backup-simplify]: Simplify (sqrt (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) into (/ (* (sqrt 0.25) J) (cos (/ -0.5 K)))
14.190 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
14.190 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.190 * [backup-simplify]: Simplify (+ 0) into 0
14.191 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 1)) into 0
14.191 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)))) into 0
14.191 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.192 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (* 0 0)) into 0
14.192 * [backup-simplify]: Simplify (- 0) into 0
14.192 * [backup-simplify]: Simplify (+ 0 0) into 0
14.192 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 (cos (/ -0.5 K)))) into 0
14.193 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -0.5 K)) 2) 0) (* 0 1)) into 0
14.193 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -0.5 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)) (/ 0 (pow (cos (/ -0.5 K)) 2))))) into 0
14.194 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) into 0
14.194 * [backup-simplify]: Simplify (+ 0 0) into 0
14.194 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))))) into 0
14.194 * [taylor]: Taking taylor expansion of (* 2.0 (* (/ (cos (/ -0.5 K)) J) (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)))) in U
14.194 * [taylor]: Taking taylor expansion of 2.0 in U
14.194 * [backup-simplify]: Simplify 2.0 into 2.0
14.194 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -0.5 K)) J) (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0))) in U
14.194 * [taylor]: Taking taylor expansion of (/ (cos (/ -0.5 K)) J) in U
14.194 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in U
14.194 * [taylor]: Taking taylor expansion of (/ -0.5 K) in U
14.194 * [taylor]: Taking taylor expansion of -0.5 in U
14.194 * [backup-simplify]: Simplify -0.5 into -0.5
14.195 * [taylor]: Taking taylor expansion of K in U
14.195 * [backup-simplify]: Simplify K into K
14.195 * [backup-simplify]: Simplify (/ -0.5 K) into (/ -0.5 K)
14.195 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
14.195 * [backup-simplify]: Simplify (sin (/ -0.5 K)) into (sin (/ -0.5 K))
14.195 * [taylor]: Taking taylor expansion of J in U
14.195 * [backup-simplify]: Simplify J into J
14.195 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
14.195 * [backup-simplify]: Simplify (* (sin (/ -0.5 K)) 0) into 0
14.195 * [backup-simplify]: Simplify (- 0) into 0
14.195 * [backup-simplify]: Simplify (+ (cos (/ -0.5 K)) 0) into (cos (/ -0.5 K))
14.195 * [backup-simplify]: Simplify (/ (cos (/ -0.5 K)) J) into (/ (cos (/ -0.5 K)) J)
14.195 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0)) in U
14.195 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) 1.0) in U
14.195 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2)))) in U
14.195 * [taylor]: Taking taylor expansion of 0.25 in U
14.195 * [backup-simplify]: Simplify 0.25 into 0.25
14.195 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -0.5 K)) 2) (pow U 2))) in U
14.195 * [taylor]: Taking taylor expansion of (pow J 2) in U
14.195 * [taylor]: Taking taylor expansion of J in U
14.195 * [backup-simplify]: Simplify J into J
14.195 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -0.5 K)) 2) (pow U 2)) in U
14.195 * [taylor]: Taking taylor expansion of (pow (cos (/ -0.5 K)) 2) in U
14.195 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in U
14.195 * [taylor]: Taking taylor expansion of (/ -0.5 K) in U
14.195 * [taylor]: Taking taylor expansion of -0.5 in U
14.196 * [backup-simplify]: Simplify -0.5 into -0.5
14.196 * [taylor]: Taking taylor expansion of K in U
14.196 * [backup-simplify]: Simplify K into K
14.196 * [backup-simplify]: Simplify (/ -0.5 K) into (/ -0.5 K)
14.196 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
14.196 * [backup-simplify]: Simplify (sin (/ -0.5 K)) into (sin (/ -0.5 K))
14.196 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
14.196 * [backup-simplify]: Simplify (* (sin (/ -0.5 K)) 0) into 0
14.196 * [backup-simplify]: Simplify (- 0) into 0
14.196 * [backup-simplify]: Simplify (+ (cos (/ -0.5 K)) 0) into (cos (/ -0.5 K))
14.196 * [taylor]: Taking taylor expansion of (pow U 2) in U
14.196 * [taylor]: Taking taylor expansion of U in U
14.196 * [backup-simplify]: Simplify 0 into 0
14.196 * [backup-simplify]: Simplify 1 into 1
14.196 * [backup-simplify]: Simplify (* J J) into (pow J 2)
14.196 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) (cos (/ -0.5 K))) into (pow (cos (/ -0.5 K)) 2)
14.197 * [backup-simplify]: Simplify (* 1 1) into 1
14.197 * [backup-simplify]: Simplify (* (pow (cos (/ -0.5 K)) 2) 1) into (pow (cos (/ -0.5 K)) 2)
14.197 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)) into (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))
14.197 * [taylor]: Taking taylor expansion of 1.0 in U
14.197 * [backup-simplify]: Simplify 1.0 into 1.0
14.197 * [backup-simplify]: Simplify (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))) into (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))
14.197 * [backup-simplify]: Simplify (+ (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))) 0) into (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))
14.198 * [backup-simplify]: Simplify (sqrt (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) into (/ (* (sqrt 0.25) J) (cos (/ -0.5 K)))
14.198 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
14.198 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.198 * [backup-simplify]: Simplify (+ 0) into 0
14.199 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 1)) into 0
14.199 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)))) into 0
14.199 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.200 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (* 0 0)) into 0
14.200 * [backup-simplify]: Simplify (- 0) into 0
14.200 * [backup-simplify]: Simplify (+ 0 0) into 0
14.200 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 (cos (/ -0.5 K)))) into 0
14.201 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -0.5 K)) 2) 0) (* 0 1)) into 0
14.201 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -0.5 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)) (/ 0 (pow (cos (/ -0.5 K)) 2))))) into 0
14.201 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))) into 0
14.202 * [backup-simplify]: Simplify (+ 0 0) into 0
14.202 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 0.25 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))))) into 0
14.202 * [backup-simplify]: Simplify (* (/ (cos (/ -0.5 K)) J) (/ (* (sqrt 0.25) J) (cos (/ -0.5 K)))) into (sqrt 0.25)
14.203 * [backup-simplify]: Simplify (* 2.0 (sqrt 0.25)) into (* 2.0 (sqrt 0.25))
14.203 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt 0.25)) in K
14.203 * [taylor]: Taking taylor expansion of 2.0 in K
14.203 * [backup-simplify]: Simplify 2.0 into 2.0
14.203 * [taylor]: Taking taylor expansion of (sqrt 0.25) in K
14.203 * [taylor]: Taking taylor expansion of 0.25 in K
14.203 * [backup-simplify]: Simplify 0.25 into 0.25
14.203 * [backup-simplify]: Simplify (sqrt 0.25) into (sqrt 0.25)
14.204 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.25))) into 0
14.204 * [backup-simplify]: Simplify (* 2.0 (sqrt 0.25)) into (* 2.0 (sqrt 0.25))
14.204 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt 0.25)) in J
14.204 * [taylor]: Taking taylor expansion of 2.0 in J
14.204 * [backup-simplify]: Simplify 2.0 into 2.0
14.204 * [taylor]: Taking taylor expansion of (sqrt 0.25) in J
14.204 * [taylor]: Taking taylor expansion of 0.25 in J
14.204 * [backup-simplify]: Simplify 0.25 into 0.25
14.205 * [backup-simplify]: Simplify (sqrt 0.25) into (sqrt 0.25)
14.205 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.25))) into 0
14.205 * [backup-simplify]: Simplify (+ 0) into 0
14.206 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 1)) into 0
14.206 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)))) into 0
14.206 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.207 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (* 0 0)) into 0
14.207 * [backup-simplify]: Simplify (- 0) into 0
14.207 * [backup-simplify]: Simplify (+ 0 0) into 0
14.207 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -0.5 K)) J) (/ 0 J)))) into 0
14.208 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -0.5 K)) J) 0) (* 0 (/ (* (sqrt 0.25) J) (cos (/ -0.5 K))))) into 0
14.208 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (sqrt 0.25))) into 0
14.208 * [taylor]: Taking taylor expansion of 0 in K
14.209 * [backup-simplify]: Simplify 0 into 0
14.209 * [taylor]: Taking taylor expansion of 0 in J
14.209 * [backup-simplify]: Simplify 0 into 0
14.209 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (sqrt 0.25))) into 0
14.210 * [taylor]: Taking taylor expansion of 0 in J
14.210 * [backup-simplify]: Simplify 0 into 0
14.210 * [backup-simplify]: Simplify (* 2.0 (sqrt 0.25)) into (* 2.0 (sqrt 0.25))
14.211 * [backup-simplify]: Simplify (* 2.0 (sqrt 0.25)) into (* 2.0 (sqrt 0.25))
14.212 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
14.213 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.214 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
14.215 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (+ (* 0 0) (* 0 1))) into 0
14.215 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
14.216 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.216 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (+ (* 0 0) (* 0 0))) into 0
14.217 * [backup-simplify]: Simplify (- 0) into 0
14.217 * [backup-simplify]: Simplify (+ 0 0) into 0
14.218 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (+ (* 0 0) (* 0 (cos (/ -0.5 K))))) into 0
14.219 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -0.5 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
14.219 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -0.5 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)) (/ 0 (pow (cos (/ -0.5 K)) 2))) (* 0 (/ 0 (pow (cos (/ -0.5 K)) 2))))) into 0
14.221 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2))))) into 0
14.221 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
14.223 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (/ (* (sqrt 0.25) J) (cos (/ -0.5 K))))) into (* 0.5 (/ (cos (/ -0.5 K)) (* (sqrt 0.25) J)))
14.224 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
14.225 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (+ (* 0 0) (* 0 1))) into 0
14.225 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
14.226 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.227 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (+ (* 0 0) (* 0 0))) into 0
14.227 * [backup-simplify]: Simplify (- 0) into 0
14.227 * [backup-simplify]: Simplify (+ 0 0) into 0
14.228 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -0.5 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0
14.229 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -0.5 K)) J) (* 0.5 (/ (cos (/ -0.5 K)) (* (sqrt 0.25) J)))) (+ (* 0 0) (* 0 (/ (* (sqrt 0.25) J) (cos (/ -0.5 K)))))) into (* 0.5 (/ (pow (cos (/ -0.5 K)) 2) (* (sqrt 0.25) (pow J 2))))
14.231 * [backup-simplify]: Simplify (+ (* 2.0 (* 0.5 (/ (pow (cos (/ -0.5 K)) 2) (* (sqrt 0.25) (pow J 2))))) (+ (* 0 0) (* 0 (sqrt 0.25)))) into (* 1.0 (/ (pow (cos (/ -0.5 K)) 2) (* (sqrt 0.25) (pow J 2))))
14.232 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (cos (/ -0.5 K)) 2) (* (sqrt 0.25) (pow J 2)))) in K
14.232 * [taylor]: Taking taylor expansion of 1.0 in K
14.232 * [backup-simplify]: Simplify 1.0 into 1.0
14.232 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -0.5 K)) 2) (* (sqrt 0.25) (pow J 2))) in K
14.232 * [taylor]: Taking taylor expansion of (pow (cos (/ -0.5 K)) 2) in K
14.232 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in K
14.232 * [taylor]: Taking taylor expansion of (/ -0.5 K) in K
14.232 * [taylor]: Taking taylor expansion of -0.5 in K
14.232 * [backup-simplify]: Simplify -0.5 into -0.5
14.232 * [taylor]: Taking taylor expansion of K in K
14.232 * [backup-simplify]: Simplify 0 into 0
14.232 * [backup-simplify]: Simplify 1 into 1
14.232 * [backup-simplify]: Simplify (/ -0.5 1) into -0.5
14.233 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
14.233 * [taylor]: Taking taylor expansion of (* (sqrt 0.25) (pow J 2)) in K
14.233 * [taylor]: Taking taylor expansion of (sqrt 0.25) in K
14.233 * [taylor]: Taking taylor expansion of 0.25 in K
14.233 * [backup-simplify]: Simplify 0.25 into 0.25
14.233 * [backup-simplify]: Simplify (sqrt 0.25) into (sqrt 0.25)
14.234 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.25))) into 0
14.234 * [taylor]: Taking taylor expansion of (pow J 2) in K
14.234 * [taylor]: Taking taylor expansion of J in K
14.234 * [backup-simplify]: Simplify J into J
14.234 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) (cos (/ -0.5 K))) into (pow (cos (/ -0.5 K)) 2)
14.234 * [backup-simplify]: Simplify (* J J) into (pow J 2)
14.235 * [backup-simplify]: Simplify (* (sqrt 0.25) (pow J 2)) into (* (sqrt 0.25) (pow J 2))
14.235 * [backup-simplify]: Simplify (/ (pow (cos (/ -0.5 K)) 2) (* (sqrt 0.25) (pow J 2))) into (/ (pow (cos (/ -0.5 K)) 2) (* (sqrt 0.25) (pow J 2)))
14.236 * [backup-simplify]: Simplify (* 1.0 (/ (pow (cos (/ -0.5 K)) 2) (* (sqrt 0.25) (pow J 2)))) into (* 1.0 (/ (pow (cos (/ -0.5 K)) 2) (* (sqrt 0.25) (pow J 2))))
14.236 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (cos (/ -0.5 K)) 2) (* (sqrt 0.25) (pow J 2)))) in J
14.236 * [taylor]: Taking taylor expansion of 1.0 in J
14.236 * [backup-simplify]: Simplify 1.0 into 1.0
14.236 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -0.5 K)) 2) (* (sqrt 0.25) (pow J 2))) in J
14.236 * [taylor]: Taking taylor expansion of (pow (cos (/ -0.5 K)) 2) in J
14.237 * [taylor]: Taking taylor expansion of (cos (/ -0.5 K)) in J
14.237 * [taylor]: Taking taylor expansion of (/ -0.5 K) in J
14.237 * [taylor]: Taking taylor expansion of -0.5 in J
14.237 * [backup-simplify]: Simplify -0.5 into -0.5
14.237 * [taylor]: Taking taylor expansion of K in J
14.237 * [backup-simplify]: Simplify K into K
14.237 * [backup-simplify]: Simplify (/ -0.5 K) into (/ -0.5 K)
14.237 * [backup-simplify]: Simplify (cos (/ -0.5 K)) into (cos (/ -0.5 K))
14.237 * [backup-simplify]: Simplify (sin (/ -0.5 K)) into (sin (/ -0.5 K))
14.237 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) 1) into (cos (/ -0.5 K))
14.237 * [backup-simplify]: Simplify (* (sin (/ -0.5 K)) 0) into 0
14.238 * [backup-simplify]: Simplify (- 0) into 0
14.238 * [backup-simplify]: Simplify (+ (cos (/ -0.5 K)) 0) into (cos (/ -0.5 K))
14.238 * [taylor]: Taking taylor expansion of (* (sqrt 0.25) (pow J 2)) in J
14.238 * [taylor]: Taking taylor expansion of (sqrt 0.25) in J
14.238 * [taylor]: Taking taylor expansion of 0.25 in J
14.238 * [backup-simplify]: Simplify 0.25 into 0.25
14.238 * [backup-simplify]: Simplify (sqrt 0.25) into (sqrt 0.25)
14.239 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.25))) into 0
14.239 * [taylor]: Taking taylor expansion of (pow J 2) in J
14.239 * [taylor]: Taking taylor expansion of J in J
14.239 * [backup-simplify]: Simplify 0 into 0
14.239 * [backup-simplify]: Simplify 1 into 1
14.240 * [backup-simplify]: Simplify (* (cos (/ -0.5 K)) (cos (/ -0.5 K))) into (pow (cos (/ -0.5 K)) 2)
14.240 * [backup-simplify]: Simplify (* 1 1) into 1
14.241 * [backup-simplify]: Simplify (* (sqrt 0.25) 1) into (sqrt 0.25)
14.241 * [backup-simplify]: Simplify (/ (pow (cos (/ -0.5 K)) 2) (sqrt 0.25)) into (/ (pow (cos (/ -0.5 K)) 2) (sqrt 0.25))
14.242 * [backup-simplify]: Simplify (+ 0) into 0
14.242 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 1)) into 0
14.243 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)))) into 0
14.243 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.244 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (* 0 0)) into 0
14.244 * [backup-simplify]: Simplify (- 0) into 0
14.245 * [backup-simplify]: Simplify (+ 0 0) into 0
14.245 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 (cos (/ -0.5 K)))) into 0
14.246 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.247 * [backup-simplify]: Simplify (+ (* (sqrt 0.25) 0) (* 0 1)) into 0
14.248 * [backup-simplify]: Simplify (- (/ 0 (sqrt 0.25)) (+ (* (/ (pow (cos (/ -0.5 K)) 2) (sqrt 0.25)) (/ 0 (sqrt 0.25))))) into 0
14.249 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (/ (pow (cos (/ -0.5 K)) 2) (sqrt 0.25)))) into 0
14.249 * [backup-simplify]: Simplify 0 into 0
14.249 * [taylor]: Taking taylor expansion of 0 in J
14.250 * [backup-simplify]: Simplify 0 into 0
14.251 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.25))) into 0
14.252 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (sqrt 0.25)))) into 0
14.252 * [taylor]: Taking taylor expansion of 0 in J
14.252 * [backup-simplify]: Simplify 0 into 0
14.252 * [backup-simplify]: Simplify 0 into 0
14.252 * [backup-simplify]: Simplify 0 into 0
14.252 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (sqrt 0.25))) into 0
14.252 * [backup-simplify]: Simplify 0 into 0
14.253 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
14.254 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.254 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
14.255 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.255 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
14.256 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
14.256 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
14.256 * [backup-simplify]: Simplify (- 0) into 0
14.257 * [backup-simplify]: Simplify (+ 0 0) into 0
14.257 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -0.5 K)))))) into 0
14.258 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -0.5 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.259 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -0.5 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)) (/ 0 (pow (cos (/ -0.5 K)) 2))) (* 0 (/ 0 (pow (cos (/ -0.5 K)) 2))) (* 0 (/ 0 (pow (cos (/ -0.5 K)) 2))))) into 0
14.259 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -0.5 K)) 2)))))) into 0
14.260 * [backup-simplify]: Simplify (+ 0 0) into 0
14.260 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 0.5 (/ (cos (/ -0.5 K)) (* (sqrt 0.25) J))))))) (* 2 (/ (* (sqrt 0.25) J) (cos (/ -0.5 K))))) into 0
14.261 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
14.262 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.262 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
14.263 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
14.263 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
14.263 * [backup-simplify]: Simplify (- 0) into 0
14.263 * [backup-simplify]: Simplify (+ 0 0) into 0
14.264 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -0.5 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0
14.265 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -0.5 K)) J) 0) (+ (* 0 (* 0.5 (/ (cos (/ -0.5 K)) (* (sqrt 0.25) J)))) (+ (* 0 0) (* 0 (/ (* (sqrt 0.25) J) (cos (/ -0.5 K))))))) into 0
14.266 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 (* 0.5 (/ (pow (cos (/ -0.5 K)) 2) (* (sqrt 0.25) (pow J 2))))) (+ (* 0 0) (* 0 (sqrt 0.25))))) into 0
14.266 * [taylor]: Taking taylor expansion of 0 in K
14.266 * [backup-simplify]: Simplify 0 into 0
14.266 * [taylor]: Taking taylor expansion of 0 in J
14.266 * [backup-simplify]: Simplify 0 into 0
14.266 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (* 0 (cos (/ -0.5 K)))) into 0
14.266 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
14.268 * [backup-simplify]: Simplify (+ (* (sqrt 0.25) 0) (* 0 (pow J 2))) into 0
14.269 * [backup-simplify]: Simplify (- (/ 0 (* (sqrt 0.25) (pow J 2))) (+ (* (/ (pow (cos (/ -0.5 K)) 2) (* (sqrt 0.25) (pow J 2))) (/ 0 (* (sqrt 0.25) (pow J 2)))))) into 0
14.270 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (/ (pow (cos (/ -0.5 K)) 2) (* (sqrt 0.25) (pow J 2))))) into 0
14.270 * [taylor]: Taking taylor expansion of 0 in J
14.270 * [backup-simplify]: Simplify 0 into 0
14.270 * [taylor]: Taking taylor expansion of 0 in J
14.270 * [backup-simplify]: Simplify 0 into 0
14.271 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.25))) into 0
14.272 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.25))))) into 0
14.272 * [taylor]: Taking taylor expansion of 0 in J
14.272 * [backup-simplify]: Simplify 0 into 0
14.272 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
14.273 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (+ (* 0 0) (* 0 1))) into 0
14.273 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -0.5 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
14.273 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.274 * [backup-simplify]: Simplify (+ (* (sin (/ -0.5 K)) 0) (+ (* 0 0) (* 0 0))) into 0
14.274 * [backup-simplify]: Simplify (- 0) into 0
14.274 * [backup-simplify]: Simplify (+ 0 0) into 0
14.275 * [backup-simplify]: Simplify (+ (* (cos (/ -0.5 K)) 0) (+ (* 0 0) (* 0 (cos (/ -0.5 K))))) into 0
14.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.276 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.25))) into 0
14.277 * [backup-simplify]: Simplify (+ (* (sqrt 0.25) 0) (+ (* 0 0) (* 0 1))) into 0
14.278 * [backup-simplify]: Simplify (- (/ 0 (sqrt 0.25)) (+ (* (/ (pow (cos (/ -0.5 K)) 2) (sqrt 0.25)) (/ 0 (sqrt 0.25))) (* 0 (/ 0 (sqrt 0.25))))) into 0
14.279 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (/ (pow (cos (/ -0.5 K)) 2) (sqrt 0.25))))) into 0
14.279 * [backup-simplify]: Simplify 0 into 0
14.279 * [backup-simplify]: Simplify 0 into 0
14.280 * [backup-simplify]: Simplify (* (* 2.0 (sqrt 0.25)) (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -2.0 (* (sqrt 0.25) U))
14.280 * * * [progress]: simplifying candidates
14.283 * [simplify]: Simplifying:
  (log (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))))
  (exp (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))))
  (* (cbrt (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0)))) (cbrt (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0)))))
  (cbrt (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))))
  (* (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0)))) (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))))
  (sqrt (* (cbrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (cbrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0)))))
  (sqrt (cbrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))))
  (sqrt (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))))
  (sqrt (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))))
  (sqrt 1)
  (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0)))
  (sqrt 1)
  (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0)))
  (sqrt (+ (pow 1.0 3) (pow (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0) 3)))
  (sqrt (+ (* 1.0 1.0) (- (* (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0) (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0)) (* 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0)))))
  (sqrt (- (* 1.0 1.0) (* (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0) (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))))
  (sqrt (- 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0)))
  (/ 1 2)
  (sqrt (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))))
  (sqrt (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))))
  (log (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))))
  (exp (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))))
  (* (cbrt (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0)))) (cbrt (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0)))))
  (cbrt (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))))
  (* (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0)))) (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))))
  (sqrt (* (cbrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (cbrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0)))))
  (sqrt (cbrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))))
  (sqrt (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))))
  (sqrt (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))))
  (sqrt 1)
  (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0)))
  (sqrt 1)
  (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0)))
  (sqrt (+ (pow 1.0 3) (pow (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0) 3)))
  (sqrt (+ (* 1.0 1.0) (- (* (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0) (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0)) (* 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0)))))
  (sqrt (- (* 1.0 1.0) (* (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0) (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))))
  (sqrt (- 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0)))
  (/ 1 2)
  (sqrt (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))))
  (sqrt (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))))
  (log (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))))
  (exp (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))))
  (* (cbrt (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0)))) (cbrt (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0)))))
  (cbrt (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))))
  (* (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0)))) (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))))
  (sqrt (* (cbrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (cbrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0)))))
  (sqrt (cbrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))))
  (sqrt (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))))
  (sqrt (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))))
  (sqrt 1)
  (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0)))
  (sqrt 1)
  (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0)))
  (sqrt (+ (pow 1.0 3) (pow (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0) 3)))
  (sqrt (+ (* 1.0 1.0) (- (* (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0) (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0)) (* 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0)))))
  (sqrt (- (* 1.0 1.0) (* (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0) (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))))
  (sqrt (- 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0)))
  (/ 1 2)
  (sqrt (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))))
  (sqrt (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))))
  (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0))))
  (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0))))
  (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0))))
  (+ (log (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0)))) (+ (+ (log -2.0) (log J)) (log (cos (/ K 2.0)))))
  (+ (log (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0)))) (+ (log (* -2.0 J)) (log (cos (/ K 2.0)))))
  (+ (log (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0)))) (log (* (* -2.0 J) (cos (/ K 2.0)))))
  (log (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0)))))
  (exp (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0)))))
  (* (* (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0)))) (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0)))) (* (* (* (* -2.0 -2.0) -2.0) (* (* J J) J)) (* (* (cos (/ K 2.0)) (cos (/ K 2.0))) (cos (/ K 2.0)))))
  (* (* (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0)))) (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0)))) (* (* (* (* -2.0 J) (* -2.0 J)) (* -2.0 J)) (* (* (cos (/ K 2.0)) (cos (/ K 2.0))) (cos (/ K 2.0)))))
  (* (* (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0)))) (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0)))) (* (* (* (* -2.0 J) (cos (/ K 2.0))) (* (* -2.0 J) (cos (/ K 2.0)))) (* (* -2.0 J) (cos (/ K 2.0)))))
  (* (cbrt (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0))))) (cbrt (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0))))))
  (cbrt (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0)))))
  (* (* (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0)))) (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0))))) (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0)))))
  (sqrt (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0)))))
  (sqrt (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0)))))
  (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* -2.0 J))
  (* (cbrt (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0)))) (* (* -2.0 J) (cos (/ K 2.0))))
  (* (sqrt (cbrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0)))) (* (* -2.0 J) (cos (/ K 2.0))))
  (* (sqrt (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0)))) (* (* -2.0 J) (cos (/ K 2.0))))
  (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0))))
  (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0))))
  (* (sqrt (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0)))) (* (* -2.0 J) (cos (/ K 2.0))))
  (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0))))
  (* (sqrt (+ (pow 1.0 3) (pow (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0) 3))) (* (* -2.0 J) (cos (/ K 2.0))))
  (* (sqrt (- (* 1.0 1.0) (* (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0) (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0)))) (* (* -2.0 J) (cos (/ K 2.0))))
  (sqrt 1.0)
  (/ (* (sqrt 0.25) U) (* (cos (* 0.5 K)) J))
  (/ (* (sqrt 0.25) U) (* (cos (* 0.5 K)) J))
  (sqrt 1.0)
  (/ (* (sqrt 0.25) U) (* (cos (* 0.5 K)) J))
  (/ (* (sqrt 0.25) U) (* (cos (* 0.5 K)) J))
  (sqrt 1.0)
  (/ (* (sqrt 0.25) U) (* (cos (* 0.5 K)) J))
  (/ (* (sqrt 0.25) U) (* (cos (* 0.5 K)) J))
  (- (+ (* 2.0 (* (sqrt 1.0) J)) (* 0.25 (/ (pow U 2) (* (sqrt 1.0) J)))))
  (* -2.0 (* (sqrt 0.25) U))
  (* -2.0 (* (sqrt 0.25) U))
14.287 * * [simplify]: iteration 0: 104 enodes
14.310 * * [simplify]: iteration 1: 268 enodes
14.429 * * [simplify]: iteration 2: 965 enodes
15.365 * * [simplify]: iteration complete: 5000 enodes
15.365 * * [simplify]: Extracting #0: cost 32 inf + 0
15.366 * * [simplify]: Extracting #1: cost 496 inf + 2
15.377 * * [simplify]: Extracting #2: cost 1328 inf + 28
15.389 * * [simplify]: Extracting #3: cost 1378 inf + 318
15.395 * * [simplify]: Extracting #4: cost 1322 inf + 875
15.401 * * [simplify]: Extracting #5: cost 1219 inf + 1967
15.408 * * [simplify]: Extracting #6: cost 958 inf + 5123
15.414 * * [simplify]: Extracting #7: cost 773 inf + 9328
15.421 * * [simplify]: Extracting #8: cost 330 inf + 22469
15.429 * * [simplify]: Extracting #9: cost 7 inf + 31822
15.435 * * [simplify]: Extracting #10: cost 0 inf + 31597
15.442 * [simplify]: Simplified to:
  (log (sqrt (+ 1.0 (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) 2.0))))
  (exp (sqrt (+ 1.0 (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) 2.0))))
  (* (cbrt (sqrt (+ 1.0 (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) 2.0)))) (cbrt (sqrt (+ 1.0 (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) 2.0)))))
  (cbrt (sqrt (+ 1.0 (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) 2.0))))
  (pow (sqrt (+ 1.0 (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) 2.0))) 3)
  (fabs (cbrt (+ 1.0 (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) 2.0))))
  (sqrt (cbrt (+ 1.0 (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) 2.0))))
  (sqrt (sqrt (+ 1.0 (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) 2.0))))
  (sqrt (sqrt (+ 1.0 (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) 2.0))))
  1
  (sqrt (+ 1.0 (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) 2.0)))
  1
  (sqrt (+ 1.0 (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) 2.0)))
  (sqrt (+ (pow 1.0 3) (pow (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) 2.0) 3)))
  (sqrt (+ (* 1.0 (- 1.0 (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) 2.0))) (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) (* 2 2.0))))
  (sqrt (- (* 1.0 1.0) (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) (* 2 2.0))))
  (sqrt (- 1.0 (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) 2.0)))
  1/2
  (sqrt (sqrt (+ 1.0 (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) 2.0))))
  (sqrt (sqrt (+ 1.0 (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) 2.0))))
  (log (sqrt (+ 1.0 (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) 2.0))))
  (exp (sqrt (+ 1.0 (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) 2.0))))
  (* (cbrt (sqrt (+ 1.0 (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) 2.0)))) (cbrt (sqrt (+ 1.0 (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) 2.0)))))
  (cbrt (sqrt (+ 1.0 (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) 2.0))))
  (pow (sqrt (+ 1.0 (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) 2.0))) 3)
  (fabs (cbrt (+ 1.0 (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) 2.0))))
  (sqrt (cbrt (+ 1.0 (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) 2.0))))
  (sqrt (sqrt (+ 1.0 (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) 2.0))))
  (sqrt (sqrt (+ 1.0 (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) 2.0))))
  1
  (sqrt (+ 1.0 (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) 2.0)))
  1
  (sqrt (+ 1.0 (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) 2.0)))
  (sqrt (+ (pow 1.0 3) (pow (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) 2.0) 3)))
  (sqrt (+ (* 1.0 (- 1.0 (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) 2.0))) (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) (* 2 2.0))))
  (sqrt (- (* 1.0 1.0) (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) (* 2 2.0))))
  (sqrt (- 1.0 (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) 2.0)))
  1/2
  (sqrt (sqrt (+ 1.0 (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) 2.0))))
  (sqrt (sqrt (+ 1.0 (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) 2.0))))
  (log (sqrt (+ 1.0 (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) 2.0))))
  (exp (sqrt (+ 1.0 (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) 2.0))))
  (* (cbrt (sqrt (+ 1.0 (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) 2.0)))) (cbrt (sqrt (+ 1.0 (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) 2.0)))))
  (cbrt (sqrt (+ 1.0 (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) 2.0))))
  (pow (sqrt (+ 1.0 (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) 2.0))) 3)
  (fabs (cbrt (+ 1.0 (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) 2.0))))
  (sqrt (cbrt (+ 1.0 (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) 2.0))))
  (sqrt (sqrt (+ 1.0 (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) 2.0))))
  (sqrt (sqrt (+ 1.0 (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) 2.0))))
  1
  (sqrt (+ 1.0 (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) 2.0)))
  1
  (sqrt (+ 1.0 (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) 2.0)))
  (sqrt (+ (pow 1.0 3) (pow (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) 2.0) 3)))
  (sqrt (+ (* 1.0 (- 1.0 (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) 2.0))) (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) (* 2 2.0))))
  (sqrt (- (* 1.0 1.0) (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) (* 2 2.0))))
  (sqrt (- 1.0 (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) 2.0)))
  1/2
  (sqrt (sqrt (+ 1.0 (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) 2.0))))
  (sqrt (sqrt (+ 1.0 (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) 2.0))))
  (* (* (sqrt (+ 1.0 (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) 2.0))) J) (* -2.0 (cos (/ K 2.0))))
  (* (* (sqrt (+ 1.0 (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) 2.0))) J) (* -2.0 (cos (/ K 2.0))))
  (* (* (sqrt (+ 1.0 (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) 2.0))) J) (* -2.0 (cos (/ K 2.0))))
  (log (* (* (sqrt (+ 1.0 (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) 2.0))) J) (* -2.0 (cos (/ K 2.0)))))
  (log (* (* (sqrt (+ 1.0 (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) 2.0))) J) (* -2.0 (cos (/ K 2.0)))))
  (log (* (* (sqrt (+ 1.0 (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) 2.0))) J) (* -2.0 (cos (/ K 2.0)))))
  (log (* (* (sqrt (+ 1.0 (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) 2.0))) J) (* -2.0 (cos (/ K 2.0)))))
  (pow (pow (exp (* J -2.0)) (cos (/ K 2.0))) (sqrt (+ 1.0 (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) 2.0))))
  (pow (* (* (sqrt (+ 1.0 (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) 2.0))) J) (* -2.0 (cos (/ K 2.0)))) 3)
  (pow (* (* (sqrt (+ 1.0 (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) 2.0))) J) (* -2.0 (cos (/ K 2.0)))) 3)
  (pow (* (* (sqrt (+ 1.0 (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) 2.0))) J) (* -2.0 (cos (/ K 2.0)))) 3)
  (* (cbrt (* (* (sqrt (+ 1.0 (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) 2.0))) J) (* -2.0 (cos (/ K 2.0))))) (cbrt (* (* (sqrt (+ 1.0 (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) 2.0))) J) (* -2.0 (cos (/ K 2.0))))))
  (cbrt (* (* (sqrt (+ 1.0 (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) 2.0))) J) (* -2.0 (cos (/ K 2.0)))))
  (pow (* (* (sqrt (+ 1.0 (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) 2.0))) J) (* -2.0 (cos (/ K 2.0)))) 3)
  (sqrt (* (* (sqrt (+ 1.0 (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) 2.0))) J) (* -2.0 (cos (/ K 2.0)))))
  (sqrt (* (* (sqrt (+ 1.0 (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) 2.0))) J) (* -2.0 (cos (/ K 2.0)))))
  (* (sqrt (+ 1.0 (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) 2.0))) (* J -2.0))
  (* (* (* J -2.0) (cos (/ K 2.0))) (cbrt (sqrt (+ 1.0 (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) 2.0)))))
  (* (* (sqrt (cbrt (+ 1.0 (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) 2.0)))) (* (cos (/ K 2.0)) J)) -2.0)
  (* (* (sqrt (sqrt (+ 1.0 (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) 2.0)))) (* J -2.0)) (cos (/ K 2.0)))
  (* (* (sqrt (+ 1.0 (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) 2.0))) J) (* -2.0 (cos (/ K 2.0))))
  (* (* (sqrt (+ 1.0 (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) 2.0))) J) (* -2.0 (cos (/ K 2.0))))
  (* (* (sqrt (sqrt (+ 1.0 (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) 2.0)))) (* J -2.0)) (cos (/ K 2.0)))
  (* (* (sqrt (+ 1.0 (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) 2.0))) J) (* -2.0 (cos (/ K 2.0))))
  (* (* (* J -2.0) (cos (/ K 2.0))) (sqrt (+ (pow 1.0 3) (pow (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) 2.0) 3))))
  (* (sqrt (- (* 1.0 1.0) (pow (/ (/ U (cos (/ K 2.0))) (* 2.0 J)) (* 2 2.0)))) (* (* J -2.0) (cos (/ K 2.0))))
  (sqrt 1.0)
  (/ (* (/ U J) (sqrt 0.25)) (cos (* 0.5 K)))
  (/ (* (/ U J) (sqrt 0.25)) (cos (* 0.5 K)))
  (sqrt 1.0)
  (/ (* (/ U J) (sqrt 0.25)) (cos (* 0.5 K)))
  (/ (* (/ U J) (sqrt 0.25)) (cos (* 0.5 K)))
  (sqrt 1.0)
  (/ (* (/ U J) (sqrt 0.25)) (cos (* 0.5 K)))
  (/ (* (/ U J) (sqrt 0.25)) (cos (* 0.5 K)))
  (- (/ (/ (- (* (* U U) 0.25)) (sqrt 1.0)) J) (* (* 2.0 (sqrt 1.0)) J))
  (* (sqrt 0.25) (* U -2.0))
  (* (sqrt 0.25) (* U -2.0))
15.443 * * * [progress]: adding candidates to table
16.223 * [progress]: [Phase 3 of 3] Extracting.
16.224 * * [regime]: Finding splitpoints for: (#<alt (λ (J K U) (* (* (* (* -2.0 J) (sqrt (cos (/ K 2.0)))) (sqrt (cos (/ K 2.0)))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))))> #<alt (λ (J K U) (* (* (* -2.0 J) (cos (/ K 2.0))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))))> #<alt (λ (J K U) (* (* (* (* -2.0 (* J (cbrt (cos (/ K 2.0))))) (cbrt (cos (/ K 2.0)))) (cbrt (cos (/ K 2.0)))) (sqrt 1.0)))> #<alt (λ (J K U) (* (sqrt (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0))))) (sqrt (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0)))))))> #<alt (λ (J K U) (* (* (* (* -2.0 (* J (cbrt (cos (/ K 2.0))))) (pow (cos (/ K 2.0)) 1/3)) (cbrt (cos (/ K 2.0)))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))))> #<alt (λ (J K U) (* (* (* -2.0 J) (cos (/ K 2.0))) (* (/ (sqrt 0.25) (cos (* 0.5 K))) (/ U J))))> #<alt (λ (J K U) (* (* (* -2.0 J) (cos (/ K 2.0))) (* (sqrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))) (sqrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))))))> #<alt (λ (J K U) (* (* (* -2.0 J) (cos (/ K 2.0))) (sqrt 1.0)))> #<alt (λ (J K U) (* (* (* (* -2.0 (* J (cbrt (cos (/ K 2.0))))) (cbrt (cos (/ K 2.0)))) (* (cbrt (sqrt (cos (/ K 2.0)))) (cbrt (sqrt (cos (/ K 2.0)))))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))))> #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0))))) (cbrt (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0)))))) (cbrt (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0)))))))> #<alt (λ (J K U) (cbrt (pow (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0)))) 3)))> #<alt (λ (J K U) (* (* (* (* -2.0 (* J (cbrt (cos (/ K 2.0))))) (cbrt (cos (/ K 2.0)))) (cbrt (cos (/ K 2.0)))) (/ (/ (* U (sqrt 0.25)) J) (cos (* K 0.5)))))>)
16.228 * * * [regime-changes]: Trying 6 branch expressions: ((/ K 2.0) (cos (/ K 2.0)) (* (* (* -2.0 J) (cos (/ K 2.0))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))) U K J)
16.228 * * * * [regimes]: Trying to branch on (/ K 2.0) from (#<alt (λ (J K U) (* (* (* (* -2.0 J) (sqrt (cos (/ K 2.0)))) (sqrt (cos (/ K 2.0)))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))))> #<alt (λ (J K U) (* (* (* -2.0 J) (cos (/ K 2.0))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))))> #<alt (λ (J K U) (* (* (* (* -2.0 (* J (cbrt (cos (/ K 2.0))))) (cbrt (cos (/ K 2.0)))) (cbrt (cos (/ K 2.0)))) (sqrt 1.0)))> #<alt (λ (J K U) (* (sqrt (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0))))) (sqrt (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0)))))))> #<alt (λ (J K U) (* (* (* (* -2.0 (* J (cbrt (cos (/ K 2.0))))) (pow (cos (/ K 2.0)) 1/3)) (cbrt (cos (/ K 2.0)))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))))> #<alt (λ (J K U) (* (* (* -2.0 J) (cos (/ K 2.0))) (* (/ (sqrt 0.25) (cos (* 0.5 K))) (/ U J))))> #<alt (λ (J K U) (* (* (* -2.0 J) (cos (/ K 2.0))) (* (sqrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))) (sqrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))))))> #<alt (λ (J K U) (* (* (* -2.0 J) (cos (/ K 2.0))) (sqrt 1.0)))> #<alt (λ (J K U) (* (* (* (* -2.0 (* J (cbrt (cos (/ K 2.0))))) (cbrt (cos (/ K 2.0)))) (* (cbrt (sqrt (cos (/ K 2.0)))) (cbrt (sqrt (cos (/ K 2.0)))))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))))> #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0))))) (cbrt (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0)))))) (cbrt (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0)))))))> #<alt (λ (J K U) (cbrt (pow (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0)))) 3)))> #<alt (λ (J K U) (* (* (* (* -2.0 (* J (cbrt (cos (/ K 2.0))))) (cbrt (cos (/ K 2.0)))) (cbrt (cos (/ K 2.0)))) (/ (/ (* U (sqrt 0.25)) J) (cos (* K 0.5)))))>)
16.348 * * * * [regimes]: Trying to branch on (cos (/ K 2.0)) from (#<alt (λ (J K U) (* (* (* (* -2.0 J) (sqrt (cos (/ K 2.0)))) (sqrt (cos (/ K 2.0)))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))))> #<alt (λ (J K U) (* (* (* -2.0 J) (cos (/ K 2.0))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))))> #<alt (λ (J K U) (* (* (* (* -2.0 (* J (cbrt (cos (/ K 2.0))))) (cbrt (cos (/ K 2.0)))) (cbrt (cos (/ K 2.0)))) (sqrt 1.0)))> #<alt (λ (J K U) (* (sqrt (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0))))) (sqrt (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0)))))))> #<alt (λ (J K U) (* (* (* (* -2.0 (* J (cbrt (cos (/ K 2.0))))) (pow (cos (/ K 2.0)) 1/3)) (cbrt (cos (/ K 2.0)))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))))> #<alt (λ (J K U) (* (* (* -2.0 J) (cos (/ K 2.0))) (* (/ (sqrt 0.25) (cos (* 0.5 K))) (/ U J))))> #<alt (λ (J K U) (* (* (* -2.0 J) (cos (/ K 2.0))) (* (sqrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))) (sqrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))))))> #<alt (λ (J K U) (* (* (* -2.0 J) (cos (/ K 2.0))) (sqrt 1.0)))> #<alt (λ (J K U) (* (* (* (* -2.0 (* J (cbrt (cos (/ K 2.0))))) (cbrt (cos (/ K 2.0)))) (* (cbrt (sqrt (cos (/ K 2.0)))) (cbrt (sqrt (cos (/ K 2.0)))))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))))> #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0))))) (cbrt (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0)))))) (cbrt (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0)))))))> #<alt (λ (J K U) (cbrt (pow (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0)))) 3)))> #<alt (λ (J K U) (* (* (* (* -2.0 (* J (cbrt (cos (/ K 2.0))))) (cbrt (cos (/ K 2.0)))) (cbrt (cos (/ K 2.0)))) (/ (/ (* U (sqrt 0.25)) J) (cos (* K 0.5)))))>)
16.475 * * * * [regimes]: Trying to branch on (* (* (* -2.0 J) (cos (/ K 2.0))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))) from (#<alt (λ (J K U) (* (* (* (* -2.0 J) (sqrt (cos (/ K 2.0)))) (sqrt (cos (/ K 2.0)))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))))> #<alt (λ (J K U) (* (* (* -2.0 J) (cos (/ K 2.0))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))))> #<alt (λ (J K U) (* (* (* (* -2.0 (* J (cbrt (cos (/ K 2.0))))) (cbrt (cos (/ K 2.0)))) (cbrt (cos (/ K 2.0)))) (sqrt 1.0)))> #<alt (λ (J K U) (* (sqrt (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0))))) (sqrt (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0)))))))> #<alt (λ (J K U) (* (* (* (* -2.0 (* J (cbrt (cos (/ K 2.0))))) (pow (cos (/ K 2.0)) 1/3)) (cbrt (cos (/ K 2.0)))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))))> #<alt (λ (J K U) (* (* (* -2.0 J) (cos (/ K 2.0))) (* (/ (sqrt 0.25) (cos (* 0.5 K))) (/ U J))))> #<alt (λ (J K U) (* (* (* -2.0 J) (cos (/ K 2.0))) (* (sqrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))) (sqrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))))))> #<alt (λ (J K U) (* (* (* -2.0 J) (cos (/ K 2.0))) (sqrt 1.0)))> #<alt (λ (J K U) (* (* (* (* -2.0 (* J (cbrt (cos (/ K 2.0))))) (cbrt (cos (/ K 2.0)))) (* (cbrt (sqrt (cos (/ K 2.0)))) (cbrt (sqrt (cos (/ K 2.0)))))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))))> #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0))))) (cbrt (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0)))))) (cbrt (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0)))))))> #<alt (λ (J K U) (cbrt (pow (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0)))) 3)))> #<alt (λ (J K U) (* (* (* (* -2.0 (* J (cbrt (cos (/ K 2.0))))) (cbrt (cos (/ K 2.0)))) (cbrt (cos (/ K 2.0)))) (/ (/ (* U (sqrt 0.25)) J) (cos (* K 0.5)))))>)
16.658 * * * * [regimes]: Trying to branch on U from (#<alt (λ (J K U) (* (* (* (* -2.0 J) (sqrt (cos (/ K 2.0)))) (sqrt (cos (/ K 2.0)))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))))> #<alt (λ (J K U) (* (* (* -2.0 J) (cos (/ K 2.0))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))))> #<alt (λ (J K U) (* (* (* (* -2.0 (* J (cbrt (cos (/ K 2.0))))) (cbrt (cos (/ K 2.0)))) (cbrt (cos (/ K 2.0)))) (sqrt 1.0)))> #<alt (λ (J K U) (* (sqrt (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0))))) (sqrt (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0)))))))> #<alt (λ (J K U) (* (* (* (* -2.0 (* J (cbrt (cos (/ K 2.0))))) (pow (cos (/ K 2.0)) 1/3)) (cbrt (cos (/ K 2.0)))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))))> #<alt (λ (J K U) (* (* (* -2.0 J) (cos (/ K 2.0))) (* (/ (sqrt 0.25) (cos (* 0.5 K))) (/ U J))))> #<alt (λ (J K U) (* (* (* -2.0 J) (cos (/ K 2.0))) (* (sqrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))) (sqrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))))))> #<alt (λ (J K U) (* (* (* -2.0 J) (cos (/ K 2.0))) (sqrt 1.0)))> #<alt (λ (J K U) (* (* (* (* -2.0 (* J (cbrt (cos (/ K 2.0))))) (cbrt (cos (/ K 2.0)))) (* (cbrt (sqrt (cos (/ K 2.0)))) (cbrt (sqrt (cos (/ K 2.0)))))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))))> #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0))))) (cbrt (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0)))))) (cbrt (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0)))))))> #<alt (λ (J K U) (cbrt (pow (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0)))) 3)))> #<alt (λ (J K U) (* (* (* (* -2.0 (* J (cbrt (cos (/ K 2.0))))) (cbrt (cos (/ K 2.0)))) (cbrt (cos (/ K 2.0)))) (/ (/ (* U (sqrt 0.25)) J) (cos (* K 0.5)))))>)
16.800 * * * * [regimes]: Trying to branch on K from (#<alt (λ (J K U) (* (* (* (* -2.0 J) (sqrt (cos (/ K 2.0)))) (sqrt (cos (/ K 2.0)))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))))> #<alt (λ (J K U) (* (* (* -2.0 J) (cos (/ K 2.0))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))))> #<alt (λ (J K U) (* (* (* (* -2.0 (* J (cbrt (cos (/ K 2.0))))) (cbrt (cos (/ K 2.0)))) (cbrt (cos (/ K 2.0)))) (sqrt 1.0)))> #<alt (λ (J K U) (* (sqrt (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0))))) (sqrt (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0)))))))> #<alt (λ (J K U) (* (* (* (* -2.0 (* J (cbrt (cos (/ K 2.0))))) (pow (cos (/ K 2.0)) 1/3)) (cbrt (cos (/ K 2.0)))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))))> #<alt (λ (J K U) (* (* (* -2.0 J) (cos (/ K 2.0))) (* (/ (sqrt 0.25) (cos (* 0.5 K))) (/ U J))))> #<alt (λ (J K U) (* (* (* -2.0 J) (cos (/ K 2.0))) (* (sqrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))) (sqrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))))))> #<alt (λ (J K U) (* (* (* -2.0 J) (cos (/ K 2.0))) (sqrt 1.0)))> #<alt (λ (J K U) (* (* (* (* -2.0 (* J (cbrt (cos (/ K 2.0))))) (cbrt (cos (/ K 2.0)))) (* (cbrt (sqrt (cos (/ K 2.0)))) (cbrt (sqrt (cos (/ K 2.0)))))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))))> #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0))))) (cbrt (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0)))))) (cbrt (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0)))))))> #<alt (λ (J K U) (cbrt (pow (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0)))) 3)))> #<alt (λ (J K U) (* (* (* (* -2.0 (* J (cbrt (cos (/ K 2.0))))) (cbrt (cos (/ K 2.0)))) (cbrt (cos (/ K 2.0)))) (/ (/ (* U (sqrt 0.25)) J) (cos (* K 0.5)))))>)
16.942 * * * * [regimes]: Trying to branch on J from (#<alt (λ (J K U) (* (* (* (* -2.0 J) (sqrt (cos (/ K 2.0)))) (sqrt (cos (/ K 2.0)))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))))> #<alt (λ (J K U) (* (* (* -2.0 J) (cos (/ K 2.0))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))))> #<alt (λ (J K U) (* (* (* (* -2.0 (* J (cbrt (cos (/ K 2.0))))) (cbrt (cos (/ K 2.0)))) (cbrt (cos (/ K 2.0)))) (sqrt 1.0)))> #<alt (λ (J K U) (* (sqrt (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0))))) (sqrt (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0)))))))> #<alt (λ (J K U) (* (* (* (* -2.0 (* J (cbrt (cos (/ K 2.0))))) (pow (cos (/ K 2.0)) 1/3)) (cbrt (cos (/ K 2.0)))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))))> #<alt (λ (J K U) (* (* (* -2.0 J) (cos (/ K 2.0))) (* (/ (sqrt 0.25) (cos (* 0.5 K))) (/ U J))))> #<alt (λ (J K U) (* (* (* -2.0 J) (cos (/ K 2.0))) (* (sqrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))) (sqrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))))))> #<alt (λ (J K U) (* (* (* -2.0 J) (cos (/ K 2.0))) (sqrt 1.0)))> #<alt (λ (J K U) (* (* (* (* -2.0 (* J (cbrt (cos (/ K 2.0))))) (cbrt (cos (/ K 2.0)))) (* (cbrt (sqrt (cos (/ K 2.0)))) (cbrt (sqrt (cos (/ K 2.0)))))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))))> #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0))))) (cbrt (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0)))))) (cbrt (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0)))))))> #<alt (λ (J K U) (cbrt (pow (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0)))) 3)))> #<alt (λ (J K U) (* (* (* (* -2.0 (* J (cbrt (cos (/ K 2.0))))) (cbrt (cos (/ K 2.0)))) (cbrt (cos (/ K 2.0)))) (/ (/ (* U (sqrt 0.25)) J) (cos (* K 0.5)))))>)
17.058 * * * [regime]: Found split indices: #<option (#s(si 5 46) #s(si 1 229) #s(si 5 255))>
17.062 * [binary-search]: Only using regimes for bounds on (* (* (* -2.0 J) (cos (/ K 2.0))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))) and (#<alt (λ (J K U) (* (* (* (* -2.0 J) (sqrt (cos (/ K 2.0)))) (sqrt (cos (/ K 2.0)))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))))> #<alt (λ (J K U) (* (* (* -2.0 J) (cos (/ K 2.0))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))))> #<alt (λ (J K U) (* (* (* (* -2.0 (* J (cbrt (cos (/ K 2.0))))) (cbrt (cos (/ K 2.0)))) (cbrt (cos (/ K 2.0)))) (sqrt 1.0)))> #<alt (λ (J K U) (* (sqrt (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0))))) (sqrt (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0)))))))> #<alt (λ (J K U) (* (* (* (* -2.0 (* J (cbrt (cos (/ K 2.0))))) (pow (cos (/ K 2.0)) 1/3)) (cbrt (cos (/ K 2.0)))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))))> #<alt (λ (J K U) (* (* (* -2.0 J) (cos (/ K 2.0))) (* (/ (sqrt 0.25) (cos (* 0.5 K))) (/ U J))))> #<alt (λ (J K U) (* (* (* -2.0 J) (cos (/ K 2.0))) (* (sqrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))) (sqrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))))))> #<alt (λ (J K U) (* (* (* -2.0 J) (cos (/ K 2.0))) (sqrt 1.0)))> #<alt (λ (J K U) (* (* (* (* -2.0 (* J (cbrt (cos (/ K 2.0))))) (cbrt (cos (/ K 2.0)))) (* (cbrt (sqrt (cos (/ K 2.0)))) (cbrt (sqrt (cos (/ K 2.0)))))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))))> #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0))))) (cbrt (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0)))))) (cbrt (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0)))))))> #<alt (λ (J K U) (cbrt (pow (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0)))) 3)))> #<alt (λ (J K U) (* (* (* (* -2.0 (* J (cbrt (cos (/ K 2.0))))) (cbrt (cos (/ K 2.0)))) (cbrt (cos (/ K 2.0)))) (/ (/ (* U (sqrt 0.25)) J) (cos (* K 0.5)))))>)
17.062 * [regimes]: Found splitpoints: (#s(sp 5 (* (* (* -2.0 J) (cos (/ K 2.0))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))) -inf.0) #s(sp 1 (* (* (* -2.0 J) (cos (/ K 2.0))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))) 2.046657204468815e+296) #s(sp 5 (* (* (* -2.0 J) (cos (/ K 2.0))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))) +nan.0)) , with alts (#<alt (λ (J K U) (* (* (* (* -2.0 J) (sqrt (cos (/ K 2.0)))) (sqrt (cos (/ K 2.0)))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))))> #<alt (λ (J K U) (* (* (* -2.0 J) (cos (/ K 2.0))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))))> #<alt (λ (J K U) (* (* (* (* -2.0 (* J (cbrt (cos (/ K 2.0))))) (cbrt (cos (/ K 2.0)))) (cbrt (cos (/ K 2.0)))) (sqrt 1.0)))> #<alt (λ (J K U) (* (sqrt (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0))))) (sqrt (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0)))))))> #<alt (λ (J K U) (* (* (* (* -2.0 (* J (cbrt (cos (/ K 2.0))))) (pow (cos (/ K 2.0)) 1/3)) (cbrt (cos (/ K 2.0)))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))))> #<alt (λ (J K U) (* (* (* -2.0 J) (cos (/ K 2.0))) (* (/ (sqrt 0.25) (cos (* 0.5 K))) (/ U J))))> #<alt (λ (J K U) (* (* (* -2.0 J) (cos (/ K 2.0))) (* (sqrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))) (sqrt (sqrt (+ 1.0 (pow (/ (/ U 2.0) (* J (cos (/ K 2.0)))) 2.0)))))))> #<alt (λ (J K U) (* (* (* -2.0 J) (cos (/ K 2.0))) (sqrt 1.0)))> #<alt (λ (J K U) (* (* (* (* -2.0 (* J (cbrt (cos (/ K 2.0))))) (cbrt (cos (/ K 2.0)))) (* (cbrt (sqrt (cos (/ K 2.0)))) (cbrt (sqrt (cos (/ K 2.0)))))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))))> #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0))))) (cbrt (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0)))))) (cbrt (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0)))))))> #<alt (λ (J K U) (cbrt (pow (* (sqrt (+ 1.0 (pow (/ U (* (cos (/ K 2.0)) (* 2.0 J))) 2.0))) (* (* -2.0 J) (cos (/ K 2.0)))) 3)))> #<alt (λ (J K U) (* (* (* (* -2.0 (* J (cbrt (cos (/ K 2.0))))) (cbrt (cos (/ K 2.0)))) (cbrt (cos (/ K 2.0)))) (/ (/ (* U (sqrt 0.25)) J) (cos (* K 0.5)))))>)
17.063 * [simplify]: Simplifying:
  (if (<= (* (* (* -2.0 J) (cos (/ K 2.0))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))) -inf.0) (* (* (* -2.0 J) (cos (/ K 2.0))) (* (/ (sqrt 0.25) (cos (* 0.5 K))) (/ U J))) (if (<= (* (* (* -2.0 J) (cos (/ K 2.0))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))) 2.046657204468815e+296) (* (* (* -2.0 J) (cos (/ K 2.0))) (sqrt (+ 1.0 (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0)))) (* (* (* -2.0 J) (cos (/ K 2.0))) (* (/ (sqrt 0.25) (cos (* 0.5 K))) (/ U J)))))
17.063 * * [simplify]: iteration 0: 32 enodes
17.066 * * [simplify]: iteration 1: 44 enodes
17.069 * * [simplify]: iteration complete: 44 enodes
17.069 * * [simplify]: Extracting #0: cost 1 inf + 0
17.069 * * [simplify]: Extracting #1: cost 6 inf + 0
17.069 * * [simplify]: Extracting #2: cost 12 inf + 0
17.069 * * [simplify]: Extracting #3: cost 17 inf + 1
17.069 * * [simplify]: Extracting #4: cost 24 inf + 2
17.069 * * [simplify]: Extracting #5: cost 25 inf + 6
17.069 * * [simplify]: Extracting #6: cost 20 inf + 20
17.069 * * [simplify]: Extracting #7: cost 18 inf + 33
17.069 * * [simplify]: Extracting #8: cost 13 inf + 69
17.069 * * [simplify]: Extracting #9: cost 8 inf + 133
17.070 * * [simplify]: Extracting #10: cost 4 inf + 223
17.070 * * [simplify]: Extracting #11: cost 1 inf + 368
17.070 * * [simplify]: Extracting #12: cost 0 inf + 467
17.070 * [simplify]: Simplified to:
  (if (or (<= (* (sqrt (+ (pow (/ U (* (* J 2.0) (cos (/ K 2.0)))) 2.0) 1.0)) (* (cos (/ K 2.0)) (* -2.0 J))) -inf.0) (not (<= (* (sqrt (+ (pow (/ U (* (* J 2.0) (cos (/ K 2.0)))) 2.0) 1.0)) (* (cos (/ K 2.0)) (* -2.0 J))) 2.046657204468815e+296))) (* (* (/ (sqrt 0.25) (cos (* 0.5 K))) (/ U J)) (* (cos (/ K 2.0)) (* -2.0 J))) (* (sqrt (+ (pow (/ U (* (* J 2.0) (cos (/ K 2.0)))) 2.0) 1.0)) (* (cos (/ K 2.0)) (* -2.0 J))))
23.575 * [regime-testing]: Baseline error score: 17.74104075040639
23.577 * [regime-testing]: Oracle error score: 12.229844449347029
23.581 * [regime-testing]: End program error score: 13.414053782422451