42.785 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.116 * * * [progress]: [2/2] Setting up program. 0.120 * [progress]: [Phase 2 of 3] Improving. 0.120 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.120 * [simplify]: Simplifying: (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 0.120 * * [simplify]: iteration 0: 17 enodes 0.124 * * [simplify]: iteration 1: 36 enodes 0.133 * * [simplify]: iteration 2: 85 enodes 0.178 * * [simplify]: iteration 3: 216 enodes 0.266 * * [simplify]: iteration 4: 843 enodes 0.474 * * [simplify]: iteration 5: 2093 enodes 0.908 * * [simplify]: iteration complete: 2093 enodes 0.908 * * [simplify]: Extracting #0: cost 1 inf + 0 0.909 * * [simplify]: Extracting #1: cost 15 inf + 0 0.909 * * [simplify]: Extracting #2: cost 17 inf + 2 0.909 * * [simplify]: Extracting #3: cost 40 inf + 45 0.910 * * [simplify]: Extracting #4: cost 414 inf + 90 0.915 * * [simplify]: Extracting #5: cost 649 inf + 26686 0.944 * * [simplify]: Extracting #6: cost 168 inf + 139767 0.990 * * [simplify]: Extracting #7: cost 0 inf + 185161 1.045 * * [simplify]: Extracting #8: cost 0 inf + 184961 1.087 * [simplify]: Simplified to: (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J))) 1.092 * * [progress]: iteration 1 / 4 1.092 * * * [progress]: picking best candidate 1.095 * * * * [pick]: Picked # 1.095 * * * [progress]: localizing error 1.125 * * * [progress]: generating rewritten candidates 1.125 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.166 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 1.184 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2) 1.202 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.222 * * * [progress]: generating series expansions 1.222 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.222 * [backup-simplify]: Simplify (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J))) into (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) 1.222 * [approximate]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in (U J K) around 0 1.222 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in K 1.222 * [taylor]: Taking taylor expansion of -2 in K 1.222 * [backup-simplify]: Simplify -2 into -2 1.222 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in K 1.222 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.222 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.222 * [taylor]: Taking taylor expansion of 1/2 in K 1.222 * [backup-simplify]: Simplify 1/2 into 1/2 1.222 * [taylor]: Taking taylor expansion of K in K 1.222 * [backup-simplify]: Simplify 0 into 0 1.222 * [backup-simplify]: Simplify 1 into 1 1.223 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.223 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.223 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in K 1.223 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 1.223 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 1.223 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in K 1.223 * [taylor]: Taking taylor expansion of (* 1 1) in K 1.223 * [taylor]: Taking taylor expansion of 1 in K 1.224 * [backup-simplify]: Simplify 1 into 1 1.224 * [taylor]: Taking taylor expansion of 1 in K 1.224 * [backup-simplify]: Simplify 1 into 1 1.224 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 1.224 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 1.224 * [taylor]: Taking taylor expansion of 1/2 in K 1.224 * [backup-simplify]: Simplify 1/2 into 1/2 1.224 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 1.224 * [taylor]: Taking taylor expansion of U in K 1.224 * [backup-simplify]: Simplify U into U 1.224 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 1.224 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.224 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.224 * [taylor]: Taking taylor expansion of 1/2 in K 1.224 * [backup-simplify]: Simplify 1/2 into 1/2 1.224 * [taylor]: Taking taylor expansion of K in K 1.224 * [backup-simplify]: Simplify 0 into 0 1.224 * [backup-simplify]: Simplify 1 into 1 1.224 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.225 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.225 * [taylor]: Taking taylor expansion of J in K 1.225 * [backup-simplify]: Simplify J into J 1.225 * [backup-simplify]: Simplify (* 1 J) into J 1.225 * [backup-simplify]: Simplify (/ U J) into (/ U J) 1.225 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 1.225 * [taylor]: Taking taylor expansion of 1/2 in K 1.225 * [backup-simplify]: Simplify 1/2 into 1/2 1.225 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 1.225 * [taylor]: Taking taylor expansion of U in K 1.225 * [backup-simplify]: Simplify U into U 1.225 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 1.225 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.225 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.225 * [taylor]: Taking taylor expansion of 1/2 in K 1.225 * [backup-simplify]: Simplify 1/2 into 1/2 1.225 * [taylor]: Taking taylor expansion of K in K 1.225 * [backup-simplify]: Simplify 0 into 0 1.225 * [backup-simplify]: Simplify 1 into 1 1.225 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.226 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.226 * [taylor]: Taking taylor expansion of J in K 1.226 * [backup-simplify]: Simplify J into J 1.226 * [backup-simplify]: Simplify (* 1 J) into J 1.226 * [backup-simplify]: Simplify (/ U J) into (/ U J) 1.226 * [backup-simplify]: Simplify (* 1 1) into 1 1.226 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 1.226 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 1.226 * [backup-simplify]: Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2))) 1.226 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1.226 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 1.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.227 * [backup-simplify]: Simplify (+ 0) into 0 1.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 1.227 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 1.228 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 1.228 * [backup-simplify]: Simplify (+ 0) into 0 1.228 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 1.229 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 1.229 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 1.229 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))) into 0 1.230 * [backup-simplify]: Simplify (+ 0 0) into 0 1.230 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 1.230 * [taylor]: Taking taylor expansion of J in K 1.230 * [backup-simplify]: Simplify J into J 1.230 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in J 1.230 * [taylor]: Taking taylor expansion of -2 in J 1.230 * [backup-simplify]: Simplify -2 into -2 1.230 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in J 1.230 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.230 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.230 * [taylor]: Taking taylor expansion of 1/2 in J 1.230 * [backup-simplify]: Simplify 1/2 into 1/2 1.230 * [taylor]: Taking taylor expansion of K in J 1.230 * [backup-simplify]: Simplify K into K 1.230 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.230 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.230 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.230 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in J 1.230 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 1.230 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 1.231 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in J 1.231 * [taylor]: Taking taylor expansion of (* 1 1) in J 1.231 * [taylor]: Taking taylor expansion of 1 in J 1.231 * [backup-simplify]: Simplify 1 into 1 1.231 * [taylor]: Taking taylor expansion of 1 in J 1.231 * [backup-simplify]: Simplify 1 into 1 1.231 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 1.231 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 1.231 * [taylor]: Taking taylor expansion of 1/2 in J 1.231 * [backup-simplify]: Simplify 1/2 into 1/2 1.231 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 1.231 * [taylor]: Taking taylor expansion of U in J 1.231 * [backup-simplify]: Simplify U into U 1.231 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 1.231 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.231 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.231 * [taylor]: Taking taylor expansion of 1/2 in J 1.231 * [backup-simplify]: Simplify 1/2 into 1/2 1.231 * [taylor]: Taking taylor expansion of K in J 1.231 * [backup-simplify]: Simplify K into K 1.231 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.231 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.231 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.231 * [taylor]: Taking taylor expansion of J in J 1.231 * [backup-simplify]: Simplify 0 into 0 1.231 * [backup-simplify]: Simplify 1 into 1 1.231 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.231 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.232 * [backup-simplify]: Simplify (- 0) into 0 1.232 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.232 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 1.233 * [backup-simplify]: Simplify (+ 0) into 0 1.233 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.234 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.234 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.235 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.235 * [backup-simplify]: Simplify (- 0) into 0 1.235 * [backup-simplify]: Simplify (+ 0 0) into 0 1.236 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 1.236 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 1.236 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 1.236 * [taylor]: Taking taylor expansion of 1/2 in J 1.236 * [backup-simplify]: Simplify 1/2 into 1/2 1.236 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 1.236 * [taylor]: Taking taylor expansion of U in J 1.236 * [backup-simplify]: Simplify U into U 1.236 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 1.236 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.236 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.236 * [taylor]: Taking taylor expansion of 1/2 in J 1.236 * [backup-simplify]: Simplify 1/2 into 1/2 1.236 * [taylor]: Taking taylor expansion of K in J 1.236 * [backup-simplify]: Simplify K into K 1.236 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.236 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.236 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.236 * [taylor]: Taking taylor expansion of J in J 1.236 * [backup-simplify]: Simplify 0 into 0 1.236 * [backup-simplify]: Simplify 1 into 1 1.236 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.237 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.237 * [backup-simplify]: Simplify (- 0) into 0 1.237 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.237 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 1.237 * [backup-simplify]: Simplify (+ 0) into 0 1.238 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.238 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.239 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.239 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.240 * [backup-simplify]: Simplify (- 0) into 0 1.240 * [backup-simplify]: Simplify (+ 0 0) into 0 1.241 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 1.241 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 1.241 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 1.241 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 1.241 * [backup-simplify]: Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 1.241 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 1.242 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 1.243 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.243 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.244 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 1.245 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.245 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.246 * [backup-simplify]: Simplify (- 0) into 0 1.246 * [backup-simplify]: Simplify (+ 0 0) into 0 1.247 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 1.247 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 1.247 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 1.248 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.249 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.250 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 1.250 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.251 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.251 * [backup-simplify]: Simplify (- 0) into 0 1.251 * [backup-simplify]: Simplify (+ 0 0) into 0 1.251 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 1.252 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 1.252 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 1.252 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0 1.252 * [backup-simplify]: Simplify (+ 0 0) into 0 1.253 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 1.253 * [taylor]: Taking taylor expansion of J in J 1.253 * [backup-simplify]: Simplify 0 into 0 1.253 * [backup-simplify]: Simplify 1 into 1 1.253 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in U 1.253 * [taylor]: Taking taylor expansion of -2 in U 1.253 * [backup-simplify]: Simplify -2 into -2 1.253 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in U 1.253 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.253 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.253 * [taylor]: Taking taylor expansion of 1/2 in U 1.253 * [backup-simplify]: Simplify 1/2 into 1/2 1.253 * [taylor]: Taking taylor expansion of K in U 1.253 * [backup-simplify]: Simplify K into K 1.253 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.253 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.253 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.253 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in U 1.253 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 1.253 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 1.253 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 1.253 * [taylor]: Taking taylor expansion of (* 1 1) in U 1.253 * [taylor]: Taking taylor expansion of 1 in U 1.253 * [backup-simplify]: Simplify 1 into 1 1.253 * [taylor]: Taking taylor expansion of 1 in U 1.253 * [backup-simplify]: Simplify 1 into 1 1.253 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 1.253 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 1.253 * [taylor]: Taking taylor expansion of 1/2 in U 1.253 * [backup-simplify]: Simplify 1/2 into 1/2 1.253 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 1.253 * [taylor]: Taking taylor expansion of U in U 1.253 * [backup-simplify]: Simplify 0 into 0 1.253 * [backup-simplify]: Simplify 1 into 1 1.253 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 1.253 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.253 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.253 * [taylor]: Taking taylor expansion of 1/2 in U 1.253 * [backup-simplify]: Simplify 1/2 into 1/2 1.253 * [taylor]: Taking taylor expansion of K in U 1.253 * [backup-simplify]: Simplify K into K 1.253 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.253 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.253 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.253 * [taylor]: Taking taylor expansion of J in U 1.253 * [backup-simplify]: Simplify J into J 1.254 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.254 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.254 * [backup-simplify]: Simplify (- 0) into 0 1.254 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.254 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 1.254 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 1.254 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 1.254 * [taylor]: Taking taylor expansion of 1/2 in U 1.254 * [backup-simplify]: Simplify 1/2 into 1/2 1.254 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 1.254 * [taylor]: Taking taylor expansion of U in U 1.254 * [backup-simplify]: Simplify 0 into 0 1.254 * [backup-simplify]: Simplify 1 into 1 1.254 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 1.254 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.254 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.254 * [taylor]: Taking taylor expansion of 1/2 in U 1.254 * [backup-simplify]: Simplify 1/2 into 1/2 1.254 * [taylor]: Taking taylor expansion of K in U 1.254 * [backup-simplify]: Simplify K into K 1.254 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.254 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.254 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.254 * [taylor]: Taking taylor expansion of J in U 1.254 * [backup-simplify]: Simplify J into J 1.254 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.254 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.255 * [backup-simplify]: Simplify (- 0) into 0 1.255 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.255 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 1.255 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 1.255 * [backup-simplify]: Simplify (* 1 1) into 1 1.255 * [backup-simplify]: Simplify (+ 1 0) into 1 1.256 * [backup-simplify]: Simplify (sqrt 1) into 1 1.256 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.256 * [backup-simplify]: Simplify (+ 0 0) into 0 1.257 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.257 * [taylor]: Taking taylor expansion of J in U 1.257 * [backup-simplify]: Simplify J into J 1.257 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in U 1.257 * [taylor]: Taking taylor expansion of -2 in U 1.257 * [backup-simplify]: Simplify -2 into -2 1.257 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in U 1.257 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.257 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.257 * [taylor]: Taking taylor expansion of 1/2 in U 1.257 * [backup-simplify]: Simplify 1/2 into 1/2 1.257 * [taylor]: Taking taylor expansion of K in U 1.257 * [backup-simplify]: Simplify K into K 1.257 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.257 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.257 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.257 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in U 1.258 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 1.258 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 1.258 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 1.258 * [taylor]: Taking taylor expansion of (* 1 1) in U 1.258 * [taylor]: Taking taylor expansion of 1 in U 1.258 * [backup-simplify]: Simplify 1 into 1 1.258 * [taylor]: Taking taylor expansion of 1 in U 1.258 * [backup-simplify]: Simplify 1 into 1 1.258 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 1.258 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 1.258 * [taylor]: Taking taylor expansion of 1/2 in U 1.258 * [backup-simplify]: Simplify 1/2 into 1/2 1.258 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 1.258 * [taylor]: Taking taylor expansion of U in U 1.258 * [backup-simplify]: Simplify 0 into 0 1.258 * [backup-simplify]: Simplify 1 into 1 1.258 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 1.258 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.258 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.258 * [taylor]: Taking taylor expansion of 1/2 in U 1.258 * [backup-simplify]: Simplify 1/2 into 1/2 1.258 * [taylor]: Taking taylor expansion of K in U 1.258 * [backup-simplify]: Simplify K into K 1.258 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.258 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.258 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.258 * [taylor]: Taking taylor expansion of J in U 1.258 * [backup-simplify]: Simplify J into J 1.259 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.259 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.259 * [backup-simplify]: Simplify (- 0) into 0 1.259 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.259 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 1.259 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 1.259 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 1.259 * [taylor]: Taking taylor expansion of 1/2 in U 1.259 * [backup-simplify]: Simplify 1/2 into 1/2 1.259 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 1.259 * [taylor]: Taking taylor expansion of U in U 1.259 * [backup-simplify]: Simplify 0 into 0 1.259 * [backup-simplify]: Simplify 1 into 1 1.259 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 1.259 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.259 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.260 * [taylor]: Taking taylor expansion of 1/2 in U 1.260 * [backup-simplify]: Simplify 1/2 into 1/2 1.260 * [taylor]: Taking taylor expansion of K in U 1.260 * [backup-simplify]: Simplify K into K 1.260 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.260 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.260 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.260 * [taylor]: Taking taylor expansion of J in U 1.260 * [backup-simplify]: Simplify J into J 1.260 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.260 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.260 * [backup-simplify]: Simplify (- 0) into 0 1.260 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.260 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 1.261 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 1.261 * [backup-simplify]: Simplify (* 1 1) into 1 1.261 * [backup-simplify]: Simplify (+ 1 0) into 1 1.262 * [backup-simplify]: Simplify (sqrt 1) into 1 1.262 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.263 * [backup-simplify]: Simplify (+ 0 0) into 0 1.263 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.263 * [taylor]: Taking taylor expansion of J in U 1.263 * [backup-simplify]: Simplify J into J 1.263 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.263 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.264 * [backup-simplify]: Simplify (- 0) into 0 1.264 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.264 * [backup-simplify]: Simplify (* 1 J) into J 1.264 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 1.264 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J)) 1.264 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J 1.264 * [taylor]: Taking taylor expansion of -2 in J 1.264 * [backup-simplify]: Simplify -2 into -2 1.264 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 1.264 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.264 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.264 * [taylor]: Taking taylor expansion of 1/2 in J 1.264 * [backup-simplify]: Simplify 1/2 into 1/2 1.264 * [taylor]: Taking taylor expansion of K in J 1.264 * [backup-simplify]: Simplify K into K 1.264 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.264 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.264 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.264 * [taylor]: Taking taylor expansion of J in J 1.265 * [backup-simplify]: Simplify 0 into 0 1.265 * [backup-simplify]: Simplify 1 into 1 1.265 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 1.265 * [backup-simplify]: Simplify (+ 0) into 0 1.265 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.266 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.266 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.266 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.267 * [backup-simplify]: Simplify (- 0) into 0 1.267 * [backup-simplify]: Simplify (+ 0 0) into 0 1.267 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 1.267 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0 1.267 * [taylor]: Taking taylor expansion of 0 in J 1.267 * [backup-simplify]: Simplify 0 into 0 1.267 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.268 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.268 * [backup-simplify]: Simplify (- 0) into 0 1.268 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.268 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 1.268 * [backup-simplify]: Simplify (* -2 0) into 0 1.268 * [taylor]: Taking taylor expansion of 0 in K 1.268 * [backup-simplify]: Simplify 0 into 0 1.268 * [backup-simplify]: Simplify 0 into 0 1.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.269 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 1.269 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 1.269 * [backup-simplify]: Simplify (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 1/2 (* (cos (* 1/2 K)) J))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.269 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1.270 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.271 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) J))) into (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J))) 1.271 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.272 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.272 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 1.273 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.273 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.273 * [backup-simplify]: Simplify (- 0) into 0 1.273 * [backup-simplify]: Simplify (+ 0 0) into 0 1.274 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J)))) (+ (* 0 0) (* 0 J))) into (* 1/8 (/ 1 (* (cos (* 1/2 K)) J))) 1.274 * [backup-simplify]: Simplify (+ (* -2 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J)))) into (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) 1.274 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in J 1.274 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in J 1.274 * [taylor]: Taking taylor expansion of 1/4 in J 1.274 * [backup-simplify]: Simplify 1/4 into 1/4 1.274 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in J 1.274 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 1.274 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.274 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.274 * [taylor]: Taking taylor expansion of 1/2 in J 1.274 * [backup-simplify]: Simplify 1/2 into 1/2 1.274 * [taylor]: Taking taylor expansion of K in J 1.274 * [backup-simplify]: Simplify K into K 1.274 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.275 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.275 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.275 * [taylor]: Taking taylor expansion of J in J 1.275 * [backup-simplify]: Simplify 0 into 0 1.275 * [backup-simplify]: Simplify 1 into 1 1.275 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.275 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.275 * [backup-simplify]: Simplify (- 0) into 0 1.275 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.275 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 1.275 * [backup-simplify]: Simplify (+ 0) into 0 1.276 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.276 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.276 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.277 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.277 * [backup-simplify]: Simplify (- 0) into 0 1.277 * [backup-simplify]: Simplify (+ 0 0) into 0 1.277 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 1.277 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 K))) into (/ 1 (cos (* 1/2 K))) 1.277 * [backup-simplify]: Simplify (* 1/4 (/ 1 (cos (* 1/2 K)))) into (/ 1/4 (cos (* 1/2 K))) 1.278 * [backup-simplify]: Simplify (- (/ 1/4 (cos (* 1/2 K)))) into (- (* 1/4 (/ 1 (cos (* 1/2 K))))) 1.278 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (cos (* 1/2 K))))) in K 1.278 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (cos (* 1/2 K)))) in K 1.278 * [taylor]: Taking taylor expansion of 1/4 in K 1.278 * [backup-simplify]: Simplify 1/4 into 1/4 1.278 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 1/2 K))) in K 1.278 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.278 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.278 * [taylor]: Taking taylor expansion of 1/2 in K 1.278 * [backup-simplify]: Simplify 1/2 into 1/2 1.278 * [taylor]: Taking taylor expansion of K in K 1.278 * [backup-simplify]: Simplify 0 into 0 1.278 * [backup-simplify]: Simplify 1 into 1 1.278 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.278 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.279 * [backup-simplify]: Simplify (/ 1 1) into 1 1.279 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 1.279 * [backup-simplify]: Simplify (- 1/4) into -1/4 1.279 * [backup-simplify]: Simplify -1/4 into -1/4 1.279 * [taylor]: Taking taylor expansion of 0 in K 1.279 * [backup-simplify]: Simplify 0 into 0 1.279 * [backup-simplify]: Simplify 0 into 0 1.279 * [backup-simplify]: Simplify (+ 0) into 0 1.280 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.280 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.281 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.281 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.281 * [backup-simplify]: Simplify (- 0) into 0 1.281 * [backup-simplify]: Simplify (+ 0 0) into 0 1.282 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 1.282 * [backup-simplify]: Simplify (+ (* -2 (cos (* 1/2 K))) (* 0 0)) into (- (* 2 (cos (* 1/2 K)))) 1.282 * [taylor]: Taking taylor expansion of (- (* 2 (cos (* 1/2 K)))) in K 1.282 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K 1.282 * [taylor]: Taking taylor expansion of 2 in K 1.282 * [backup-simplify]: Simplify 2 into 2 1.282 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.282 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.282 * [taylor]: Taking taylor expansion of 1/2 in K 1.282 * [backup-simplify]: Simplify 1/2 into 1/2 1.282 * [taylor]: Taking taylor expansion of K in K 1.282 * [backup-simplify]: Simplify 0 into 0 1.282 * [backup-simplify]: Simplify 1 into 1 1.282 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.283 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.283 * [backup-simplify]: Simplify (* 2 1) into 2 1.283 * [backup-simplify]: Simplify (- 2) into -2 1.283 * [backup-simplify]: Simplify -2 into -2 1.283 * [backup-simplify]: Simplify 0 into 0 1.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.286 * [backup-simplify]: Simplify (+ 0) into 0 1.286 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.286 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.287 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.287 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.287 * [backup-simplify]: Simplify (- 0) into 0 1.288 * [backup-simplify]: Simplify (+ 0 0) into 0 1.288 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 1.288 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 1.288 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 1.289 * [backup-simplify]: Simplify (+ 0) into 0 1.289 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.289 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.290 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.290 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.290 * [backup-simplify]: Simplify (- 0) into 0 1.290 * [backup-simplify]: Simplify (+ 0 0) into 0 1.290 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 1.291 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 1.291 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 1.291 * [backup-simplify]: Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J)))) into 0 1.291 * [backup-simplify]: Simplify (+ 0 0) into 0 1.292 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 1.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) (* 0 J)))) into 0 1.293 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.293 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.294 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 1.295 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.295 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.296 * [backup-simplify]: Simplify (- 0) into 0 1.296 * [backup-simplify]: Simplify (+ 0 0) into 0 1.296 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J)))) (+ (* 0 0) (* 0 J)))) into 0 1.297 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0 1.297 * [taylor]: Taking taylor expansion of 0 in J 1.297 * [backup-simplify]: Simplify 0 into 0 1.297 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.298 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.298 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 1.299 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.299 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.299 * [backup-simplify]: Simplify (- 0) into 0 1.300 * [backup-simplify]: Simplify (+ 0 0) into 0 1.300 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 1.300 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 1.300 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (* 1/2 K))))) into 0 1.301 * [backup-simplify]: Simplify (- 0) into 0 1.301 * [taylor]: Taking taylor expansion of 0 in K 1.301 * [backup-simplify]: Simplify 0 into 0 1.301 * [backup-simplify]: Simplify 0 into 0 1.301 * [taylor]: Taking taylor expansion of 0 in K 1.301 * [backup-simplify]: Simplify 0 into 0 1.301 * [backup-simplify]: Simplify 0 into 0 1.301 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.302 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.302 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 1.303 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.303 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.303 * [backup-simplify]: Simplify (- 0) into 0 1.303 * [backup-simplify]: Simplify (+ 0 0) into 0 1.304 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 1.304 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0 1.304 * [taylor]: Taking taylor expansion of 0 in K 1.305 * [backup-simplify]: Simplify 0 into 0 1.305 * [backup-simplify]: Simplify 0 into 0 1.305 * [backup-simplify]: Simplify (+ 0) into 0 1.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.306 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 1.306 * [backup-simplify]: Simplify (- 0) into 0 1.306 * [backup-simplify]: Simplify 0 into 0 1.306 * [backup-simplify]: Simplify 0 into 0 1.307 * [backup-simplify]: Simplify (+ (* -2 (* 1 (* J 1))) (* -1/4 (* 1 (* (/ 1 J) (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 1.307 * [backup-simplify]: Simplify (* (hypot 1 (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) (* (cos (/ (/ 1 K) 2)) (* -2 (/ 1 J)))) into (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) 1.307 * [approximate]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in (U J K) around 0 1.307 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in K 1.307 * [taylor]: Taking taylor expansion of -2 in K 1.307 * [backup-simplify]: Simplify -2 into -2 1.307 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in K 1.307 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in K 1.307 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 1.307 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 1.307 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in K 1.307 * [taylor]: Taking taylor expansion of (* 1 1) in K 1.307 * [taylor]: Taking taylor expansion of 1 in K 1.307 * [backup-simplify]: Simplify 1 into 1 1.307 * [taylor]: Taking taylor expansion of 1 in K 1.307 * [backup-simplify]: Simplify 1 into 1 1.307 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 1.307 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 1.307 * [taylor]: Taking taylor expansion of 1/2 in K 1.307 * [backup-simplify]: Simplify 1/2 into 1/2 1.308 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 1.308 * [taylor]: Taking taylor expansion of J in K 1.308 * [backup-simplify]: Simplify J into J 1.308 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 1.308 * [taylor]: Taking taylor expansion of U in K 1.308 * [backup-simplify]: Simplify U into U 1.308 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.308 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.308 * [taylor]: Taking taylor expansion of 1/2 in K 1.308 * [backup-simplify]: Simplify 1/2 into 1/2 1.308 * [taylor]: Taking taylor expansion of K in K 1.308 * [backup-simplify]: Simplify 0 into 0 1.308 * [backup-simplify]: Simplify 1 into 1 1.308 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.308 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.308 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 1.308 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 1.308 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 1.308 * [taylor]: Taking taylor expansion of 1/2 in K 1.308 * [backup-simplify]: Simplify 1/2 into 1/2 1.308 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 1.308 * [taylor]: Taking taylor expansion of J in K 1.308 * [backup-simplify]: Simplify J into J 1.308 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 1.308 * [taylor]: Taking taylor expansion of U in K 1.308 * [backup-simplify]: Simplify U into U 1.309 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.309 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.309 * [taylor]: Taking taylor expansion of 1/2 in K 1.309 * [backup-simplify]: Simplify 1/2 into 1/2 1.309 * [taylor]: Taking taylor expansion of K in K 1.309 * [backup-simplify]: Simplify 0 into 0 1.309 * [backup-simplify]: Simplify 1 into 1 1.309 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.309 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.309 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 1.309 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 1.309 * [backup-simplify]: Simplify (* 1 1) into 1 1.309 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 1.309 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 1.310 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1.310 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1.310 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 1.311 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.311 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 1.311 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 1.311 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 1.311 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 1.311 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 1.312 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 1.312 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into 0 1.312 * [backup-simplify]: Simplify (+ 0 0) into 0 1.312 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 1.312 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.313 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.313 * [taylor]: Taking taylor expansion of 1/2 in K 1.313 * [backup-simplify]: Simplify 1/2 into 1/2 1.313 * [taylor]: Taking taylor expansion of K in K 1.313 * [backup-simplify]: Simplify 0 into 0 1.313 * [backup-simplify]: Simplify 1 into 1 1.313 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.313 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.313 * [taylor]: Taking taylor expansion of J in K 1.313 * [backup-simplify]: Simplify J into J 1.313 * [backup-simplify]: Simplify (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) into (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) 1.313 * [backup-simplify]: Simplify (/ (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) J) into (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) 1.314 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in J 1.314 * [taylor]: Taking taylor expansion of -2 in J 1.314 * [backup-simplify]: Simplify -2 into -2 1.314 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in J 1.314 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in J 1.314 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 1.314 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 1.314 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in J 1.314 * [taylor]: Taking taylor expansion of (* 1 1) in J 1.314 * [taylor]: Taking taylor expansion of 1 in J 1.314 * [backup-simplify]: Simplify 1 into 1 1.314 * [taylor]: Taking taylor expansion of 1 in J 1.314 * [backup-simplify]: Simplify 1 into 1 1.314 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 1.314 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 1.314 * [taylor]: Taking taylor expansion of 1/2 in J 1.314 * [backup-simplify]: Simplify 1/2 into 1/2 1.314 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 1.314 * [taylor]: Taking taylor expansion of J in J 1.314 * [backup-simplify]: Simplify 0 into 0 1.314 * [backup-simplify]: Simplify 1 into 1 1.314 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 1.314 * [taylor]: Taking taylor expansion of U in J 1.314 * [backup-simplify]: Simplify U into U 1.314 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.314 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.314 * [taylor]: Taking taylor expansion of 1/2 in J 1.314 * [backup-simplify]: Simplify 1/2 into 1/2 1.314 * [taylor]: Taking taylor expansion of K in J 1.314 * [backup-simplify]: Simplify K into K 1.314 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.314 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.314 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.314 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.314 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.314 * [backup-simplify]: Simplify (- 0) into 0 1.315 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.315 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 1.315 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 1.315 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 1.315 * [taylor]: Taking taylor expansion of 1/2 in J 1.315 * [backup-simplify]: Simplify 1/2 into 1/2 1.315 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 1.315 * [taylor]: Taking taylor expansion of J in J 1.315 * [backup-simplify]: Simplify 0 into 0 1.315 * [backup-simplify]: Simplify 1 into 1 1.315 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 1.315 * [taylor]: Taking taylor expansion of U in J 1.315 * [backup-simplify]: Simplify U into U 1.315 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.315 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.315 * [taylor]: Taking taylor expansion of 1/2 in J 1.315 * [backup-simplify]: Simplify 1/2 into 1/2 1.315 * [taylor]: Taking taylor expansion of K in J 1.315 * [backup-simplify]: Simplify K into K 1.315 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.315 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.315 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.315 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.315 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.315 * [backup-simplify]: Simplify (- 0) into 0 1.315 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.316 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 1.316 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 1.316 * [backup-simplify]: Simplify (* 1 1) into 1 1.316 * [backup-simplify]: Simplify (+ 1 0) into 1 1.316 * [backup-simplify]: Simplify (sqrt 1) into 1 1.317 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.317 * [backup-simplify]: Simplify (+ 0 0) into 0 1.318 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.318 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.318 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.318 * [taylor]: Taking taylor expansion of 1/2 in J 1.318 * [backup-simplify]: Simplify 1/2 into 1/2 1.318 * [taylor]: Taking taylor expansion of K in J 1.318 * [backup-simplify]: Simplify K into K 1.318 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.318 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.318 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.318 * [taylor]: Taking taylor expansion of J in J 1.318 * [backup-simplify]: Simplify 0 into 0 1.318 * [backup-simplify]: Simplify 1 into 1 1.318 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.318 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.318 * [backup-simplify]: Simplify (- 0) into 0 1.318 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.318 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 1.318 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.318 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in U 1.318 * [taylor]: Taking taylor expansion of -2 in U 1.318 * [backup-simplify]: Simplify -2 into -2 1.319 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in U 1.319 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 1.319 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 1.319 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 1.319 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 1.319 * [taylor]: Taking taylor expansion of (* 1 1) in U 1.319 * [taylor]: Taking taylor expansion of 1 in U 1.319 * [backup-simplify]: Simplify 1 into 1 1.319 * [taylor]: Taking taylor expansion of 1 in U 1.319 * [backup-simplify]: Simplify 1 into 1 1.319 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 1.319 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 1.319 * [taylor]: Taking taylor expansion of 1/2 in U 1.319 * [backup-simplify]: Simplify 1/2 into 1/2 1.319 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 1.319 * [taylor]: Taking taylor expansion of J in U 1.319 * [backup-simplify]: Simplify J into J 1.319 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 1.319 * [taylor]: Taking taylor expansion of U in U 1.319 * [backup-simplify]: Simplify 0 into 0 1.319 * [backup-simplify]: Simplify 1 into 1 1.319 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.319 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.319 * [taylor]: Taking taylor expansion of 1/2 in U 1.319 * [backup-simplify]: Simplify 1/2 into 1/2 1.319 * [taylor]: Taking taylor expansion of K in U 1.319 * [backup-simplify]: Simplify K into K 1.319 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.319 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.319 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.319 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.319 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.319 * [backup-simplify]: Simplify (- 0) into 0 1.319 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.320 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 1.320 * [backup-simplify]: Simplify (+ 0) into 0 1.320 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.320 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.321 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.321 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.321 * [backup-simplify]: Simplify (- 0) into 0 1.321 * [backup-simplify]: Simplify (+ 0 0) into 0 1.322 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 1.322 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 1.322 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 1.322 * [taylor]: Taking taylor expansion of 1/2 in U 1.322 * [backup-simplify]: Simplify 1/2 into 1/2 1.322 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 1.322 * [taylor]: Taking taylor expansion of J in U 1.322 * [backup-simplify]: Simplify J into J 1.322 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 1.322 * [taylor]: Taking taylor expansion of U in U 1.322 * [backup-simplify]: Simplify 0 into 0 1.322 * [backup-simplify]: Simplify 1 into 1 1.322 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.322 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.322 * [taylor]: Taking taylor expansion of 1/2 in U 1.322 * [backup-simplify]: Simplify 1/2 into 1/2 1.322 * [taylor]: Taking taylor expansion of K in U 1.322 * [backup-simplify]: Simplify K into K 1.322 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.322 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.322 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.322 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.322 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.322 * [backup-simplify]: Simplify (- 0) into 0 1.323 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.323 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 1.323 * [backup-simplify]: Simplify (+ 0) into 0 1.323 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.323 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.324 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.324 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.324 * [backup-simplify]: Simplify (- 0) into 0 1.324 * [backup-simplify]: Simplify (+ 0 0) into 0 1.325 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 1.325 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 1.325 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.325 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.325 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1.325 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1.325 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.326 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.326 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.326 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.327 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.327 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.327 * [backup-simplify]: Simplify (- 0) into 0 1.328 * [backup-simplify]: Simplify (+ 0 0) into 0 1.328 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 1.328 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 1.329 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 1.330 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.330 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.330 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.331 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.332 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.332 * [backup-simplify]: Simplify (- 0) into 0 1.332 * [backup-simplify]: Simplify (+ 0 0) into 0 1.333 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 1.333 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 1.334 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 1.334 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 1.334 * [backup-simplify]: Simplify (+ 0 0) into 0 1.335 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.335 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.335 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.335 * [taylor]: Taking taylor expansion of 1/2 in U 1.335 * [backup-simplify]: Simplify 1/2 into 1/2 1.335 * [taylor]: Taking taylor expansion of K in U 1.335 * [backup-simplify]: Simplify K into K 1.335 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.335 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.335 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.335 * [taylor]: Taking taylor expansion of J in U 1.335 * [backup-simplify]: Simplify J into J 1.335 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.335 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.336 * [backup-simplify]: Simplify (- 0) into 0 1.336 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.336 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 1.336 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 1.336 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in U 1.336 * [taylor]: Taking taylor expansion of -2 in U 1.336 * [backup-simplify]: Simplify -2 into -2 1.336 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in U 1.336 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 1.336 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 1.336 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 1.336 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 1.336 * [taylor]: Taking taylor expansion of (* 1 1) in U 1.336 * [taylor]: Taking taylor expansion of 1 in U 1.336 * [backup-simplify]: Simplify 1 into 1 1.336 * [taylor]: Taking taylor expansion of 1 in U 1.336 * [backup-simplify]: Simplify 1 into 1 1.336 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 1.336 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 1.336 * [taylor]: Taking taylor expansion of 1/2 in U 1.336 * [backup-simplify]: Simplify 1/2 into 1/2 1.336 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 1.336 * [taylor]: Taking taylor expansion of J in U 1.336 * [backup-simplify]: Simplify J into J 1.336 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 1.337 * [taylor]: Taking taylor expansion of U in U 1.337 * [backup-simplify]: Simplify 0 into 0 1.337 * [backup-simplify]: Simplify 1 into 1 1.337 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.337 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.337 * [taylor]: Taking taylor expansion of 1/2 in U 1.337 * [backup-simplify]: Simplify 1/2 into 1/2 1.337 * [taylor]: Taking taylor expansion of K in U 1.337 * [backup-simplify]: Simplify K into K 1.337 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.337 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.337 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.337 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.337 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.337 * [backup-simplify]: Simplify (- 0) into 0 1.337 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.338 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 1.338 * [backup-simplify]: Simplify (+ 0) into 0 1.338 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.339 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.339 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.340 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.340 * [backup-simplify]: Simplify (- 0) into 0 1.340 * [backup-simplify]: Simplify (+ 0 0) into 0 1.341 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 1.341 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 1.341 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 1.341 * [taylor]: Taking taylor expansion of 1/2 in U 1.341 * [backup-simplify]: Simplify 1/2 into 1/2 1.341 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 1.341 * [taylor]: Taking taylor expansion of J in U 1.341 * [backup-simplify]: Simplify J into J 1.341 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 1.341 * [taylor]: Taking taylor expansion of U in U 1.341 * [backup-simplify]: Simplify 0 into 0 1.341 * [backup-simplify]: Simplify 1 into 1 1.341 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.341 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.341 * [taylor]: Taking taylor expansion of 1/2 in U 1.341 * [backup-simplify]: Simplify 1/2 into 1/2 1.341 * [taylor]: Taking taylor expansion of K in U 1.341 * [backup-simplify]: Simplify K into K 1.341 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.342 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.342 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.342 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.342 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.342 * [backup-simplify]: Simplify (- 0) into 0 1.342 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.342 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 1.343 * [backup-simplify]: Simplify (+ 0) into 0 1.343 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.343 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.344 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.344 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.345 * [backup-simplify]: Simplify (- 0) into 0 1.345 * [backup-simplify]: Simplify (+ 0 0) into 0 1.345 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 1.346 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 1.346 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.346 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.346 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1.346 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1.346 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.347 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.348 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.348 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.349 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.349 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.350 * [backup-simplify]: Simplify (- 0) into 0 1.350 * [backup-simplify]: Simplify (+ 0 0) into 0 1.351 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 1.351 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 1.351 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 1.352 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.353 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.353 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.354 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.354 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.355 * [backup-simplify]: Simplify (- 0) into 0 1.355 * [backup-simplify]: Simplify (+ 0 0) into 0 1.356 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 1.356 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 1.356 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 1.357 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 1.357 * [backup-simplify]: Simplify (+ 0 0) into 0 1.357 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.357 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.357 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.357 * [taylor]: Taking taylor expansion of 1/2 in U 1.357 * [backup-simplify]: Simplify 1/2 into 1/2 1.357 * [taylor]: Taking taylor expansion of K in U 1.357 * [backup-simplify]: Simplify K into K 1.357 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.358 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.358 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.358 * [taylor]: Taking taylor expansion of J in U 1.358 * [backup-simplify]: Simplify J into J 1.358 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.358 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.358 * [backup-simplify]: Simplify (- 0) into 0 1.359 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.359 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 1.359 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 1.359 * [backup-simplify]: Simplify (* -2 1/2) into -1 1.359 * [taylor]: Taking taylor expansion of -1 in J 1.359 * [backup-simplify]: Simplify -1 into -1 1.360 * [backup-simplify]: Simplify (+ 0) into 0 1.360 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.360 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.361 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.361 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.361 * [backup-simplify]: Simplify (- 0) into 0 1.361 * [backup-simplify]: Simplify (+ 0 0) into 0 1.362 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.362 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)))) into 0 1.362 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0 1.362 * [taylor]: Taking taylor expansion of 0 in J 1.362 * [backup-simplify]: Simplify 0 into 0 1.362 * [taylor]: Taking taylor expansion of -1 in K 1.362 * [backup-simplify]: Simplify -1 into -1 1.362 * [backup-simplify]: Simplify -1 into -1 1.363 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.363 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.363 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.364 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.364 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.364 * [backup-simplify]: Simplify (- 0) into 0 1.364 * [backup-simplify]: Simplify (+ 0 0) into 0 1.365 * [backup-simplify]: Simplify (* 1 1) into 1 1.365 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.366 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.366 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.367 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.367 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.367 * [backup-simplify]: Simplify (- 0) into 0 1.368 * [backup-simplify]: Simplify (+ 0 0) into 0 1.368 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 1.368 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 1.369 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 1.370 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.370 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.370 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.371 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.371 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.372 * [backup-simplify]: Simplify (- 0) into 0 1.372 * [backup-simplify]: Simplify (+ 0 0) into 0 1.373 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 1.373 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 1.373 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 1.374 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K))))))) into 0 1.374 * [backup-simplify]: Simplify (+ 1 0) into 1 1.374 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 1.375 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* (/ (cos (/ 1/2 K)) J) (cos (/ 1/2 K))))) into (/ (pow (cos (/ 1/2 K)) 2) J) 1.375 * [backup-simplify]: Simplify (- (/ (/ (pow (cos (/ 1/2 K)) 2) J) J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 1.376 * [backup-simplify]: Simplify (+ (* -2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) 1.376 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J 1.376 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J 1.376 * [taylor]: Taking taylor expansion of 2 in J 1.376 * [backup-simplify]: Simplify 2 into 2 1.376 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J 1.376 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 1.376 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.376 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.376 * [taylor]: Taking taylor expansion of 1/2 in J 1.376 * [backup-simplify]: Simplify 1/2 into 1/2 1.376 * [taylor]: Taking taylor expansion of K in J 1.376 * [backup-simplify]: Simplify K into K 1.376 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.376 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.376 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.376 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.376 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.376 * [backup-simplify]: Simplify (- 0) into 0 1.376 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.376 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.376 * [taylor]: Taking taylor expansion of J in J 1.376 * [backup-simplify]: Simplify 0 into 0 1.376 * [backup-simplify]: Simplify 1 into 1 1.377 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.377 * [backup-simplify]: Simplify (* 1 1) into 1 1.377 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 1.377 * [backup-simplify]: Simplify (+ 0) into 0 1.377 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.378 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.378 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.378 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.378 * [backup-simplify]: Simplify (- 0) into 0 1.379 * [backup-simplify]: Simplify (+ 0 0) into 0 1.379 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.379 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.380 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 1.380 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.380 * [backup-simplify]: Simplify (- 0) into 0 1.380 * [taylor]: Taking taylor expansion of 0 in K 1.380 * [backup-simplify]: Simplify 0 into 0 1.380 * [backup-simplify]: Simplify 0 into 0 1.380 * [taylor]: Taking taylor expansion of 0 in K 1.380 * [backup-simplify]: Simplify 0 into 0 1.380 * [backup-simplify]: Simplify 0 into 0 1.380 * [taylor]: Taking taylor expansion of 0 in K 1.380 * [backup-simplify]: Simplify 0 into 0 1.381 * [backup-simplify]: Simplify 0 into 0 1.381 * [backup-simplify]: Simplify 0 into 0 1.381 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.382 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.382 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.383 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.384 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.385 * [backup-simplify]: Simplify (- 0) into 0 1.385 * [backup-simplify]: Simplify (+ 0 0) into 0 1.385 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.386 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 1.387 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.387 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.388 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.388 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 1.389 * [backup-simplify]: Simplify (- 0) into 0 1.389 * [backup-simplify]: Simplify (+ 0 0) into 0 1.390 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))))) into 0 1.390 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 1.391 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K))))))) into 0 1.392 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 1.393 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.393 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.394 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.394 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 1.394 * [backup-simplify]: Simplify (- 0) into 0 1.395 * [backup-simplify]: Simplify (+ 0 0) into 0 1.395 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))))) into 0 1.396 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 1.396 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K))))))) into 0 1.397 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))))) into 0 1.397 * [backup-simplify]: Simplify (+ 0 0) into 0 1.397 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 1.398 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* (/ (cos (/ 1/2 K)) J) 0) (* 0 (cos (/ 1/2 K)))))) into 0 1.398 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)) (* (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) (/ 0 J)))) into 0 1.399 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 1.399 * [taylor]: Taking taylor expansion of 0 in J 1.399 * [backup-simplify]: Simplify 0 into 0 1.399 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.400 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.400 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.400 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.401 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.401 * [backup-simplify]: Simplify (- 0) into 0 1.401 * [backup-simplify]: Simplify (+ 0 0) into 0 1.402 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 1.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.403 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.403 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 1.404 * [backup-simplify]: Simplify (- 0) into 0 1.404 * [taylor]: Taking taylor expansion of 0 in K 1.404 * [backup-simplify]: Simplify 0 into 0 1.404 * [backup-simplify]: Simplify 0 into 0 1.404 * [taylor]: Taking taylor expansion of 0 in K 1.404 * [backup-simplify]: Simplify 0 into 0 1.404 * [backup-simplify]: Simplify 0 into 0 1.404 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U) 1.404 * [backup-simplify]: Simplify (* (hypot 1 (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) (* (cos (/ (/ 1 (- K)) 2)) (* -2 (/ 1 (- J))))) into (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) 1.404 * [approximate]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in (U J K) around 0 1.404 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in K 1.404 * [taylor]: Taking taylor expansion of 2 in K 1.404 * [backup-simplify]: Simplify 2 into 2 1.404 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in K 1.404 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 1.404 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.404 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.404 * [taylor]: Taking taylor expansion of -1/2 in K 1.405 * [backup-simplify]: Simplify -1/2 into -1/2 1.405 * [taylor]: Taking taylor expansion of K in K 1.405 * [backup-simplify]: Simplify 0 into 0 1.405 * [backup-simplify]: Simplify 1 into 1 1.405 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.405 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.405 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 1.405 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 1.405 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 1.405 * [taylor]: Taking taylor expansion of (* 1 1) in K 1.405 * [taylor]: Taking taylor expansion of 1 in K 1.405 * [backup-simplify]: Simplify 1 into 1 1.405 * [taylor]: Taking taylor expansion of 1 in K 1.405 * [backup-simplify]: Simplify 1 into 1 1.405 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 1.405 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 1.405 * [taylor]: Taking taylor expansion of 1/2 in K 1.405 * [backup-simplify]: Simplify 1/2 into 1/2 1.405 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 1.405 * [taylor]: Taking taylor expansion of J in K 1.406 * [backup-simplify]: Simplify J into J 1.406 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 1.406 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.406 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.406 * [taylor]: Taking taylor expansion of -1/2 in K 1.406 * [backup-simplify]: Simplify -1/2 into -1/2 1.406 * [taylor]: Taking taylor expansion of K in K 1.406 * [backup-simplify]: Simplify 0 into 0 1.406 * [backup-simplify]: Simplify 1 into 1 1.406 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.406 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.406 * [taylor]: Taking taylor expansion of U in K 1.406 * [backup-simplify]: Simplify U into U 1.406 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 1.406 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 1.406 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 1.407 * [taylor]: Taking taylor expansion of 1/2 in K 1.407 * [backup-simplify]: Simplify 1/2 into 1/2 1.407 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 1.407 * [taylor]: Taking taylor expansion of J in K 1.407 * [backup-simplify]: Simplify J into J 1.407 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 1.407 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.407 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.407 * [taylor]: Taking taylor expansion of -1/2 in K 1.407 * [backup-simplify]: Simplify -1/2 into -1/2 1.407 * [taylor]: Taking taylor expansion of K in K 1.407 * [backup-simplify]: Simplify 0 into 0 1.407 * [backup-simplify]: Simplify 1 into 1 1.407 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.407 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.407 * [taylor]: Taking taylor expansion of U in K 1.407 * [backup-simplify]: Simplify U into U 1.408 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 1.408 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 1.408 * [backup-simplify]: Simplify (* 1 1) into 1 1.408 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 1.409 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 1.409 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1.409 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1.410 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 1.410 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.411 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 1.411 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 1.411 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 1.412 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 1.412 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 1.412 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 1.413 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into 0 1.413 * [backup-simplify]: Simplify (+ 0 0) into 0 1.414 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 1.414 * [taylor]: Taking taylor expansion of J in K 1.414 * [backup-simplify]: Simplify J into J 1.414 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 1.415 * [backup-simplify]: Simplify (/ (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) J) into (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 1.415 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in J 1.415 * [taylor]: Taking taylor expansion of 2 in J 1.415 * [backup-simplify]: Simplify 2 into 2 1.415 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in J 1.415 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 1.415 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.415 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.415 * [taylor]: Taking taylor expansion of -1/2 in J 1.415 * [backup-simplify]: Simplify -1/2 into -1/2 1.415 * [taylor]: Taking taylor expansion of K in J 1.415 * [backup-simplify]: Simplify K into K 1.415 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.415 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.415 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.415 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 1.415 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 1.415 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 1.415 * [taylor]: Taking taylor expansion of (* 1 1) in J 1.415 * [taylor]: Taking taylor expansion of 1 in J 1.415 * [backup-simplify]: Simplify 1 into 1 1.415 * [taylor]: Taking taylor expansion of 1 in J 1.416 * [backup-simplify]: Simplify 1 into 1 1.416 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 1.416 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 1.416 * [taylor]: Taking taylor expansion of 1/2 in J 1.416 * [backup-simplify]: Simplify 1/2 into 1/2 1.416 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 1.416 * [taylor]: Taking taylor expansion of J in J 1.416 * [backup-simplify]: Simplify 0 into 0 1.416 * [backup-simplify]: Simplify 1 into 1 1.416 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 1.416 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.416 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.416 * [taylor]: Taking taylor expansion of -1/2 in J 1.416 * [backup-simplify]: Simplify -1/2 into -1/2 1.416 * [taylor]: Taking taylor expansion of K in J 1.416 * [backup-simplify]: Simplify K into K 1.416 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.416 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.416 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.416 * [taylor]: Taking taylor expansion of U in J 1.416 * [backup-simplify]: Simplify U into U 1.416 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.416 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.417 * [backup-simplify]: Simplify (- 0) into 0 1.417 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.417 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 1.417 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 1.417 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 1.417 * [taylor]: Taking taylor expansion of 1/2 in J 1.417 * [backup-simplify]: Simplify 1/2 into 1/2 1.417 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 1.417 * [taylor]: Taking taylor expansion of J in J 1.417 * [backup-simplify]: Simplify 0 into 0 1.417 * [backup-simplify]: Simplify 1 into 1 1.417 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 1.417 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.417 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.417 * [taylor]: Taking taylor expansion of -1/2 in J 1.417 * [backup-simplify]: Simplify -1/2 into -1/2 1.417 * [taylor]: Taking taylor expansion of K in J 1.417 * [backup-simplify]: Simplify K into K 1.417 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.418 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.418 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.418 * [taylor]: Taking taylor expansion of U in J 1.418 * [backup-simplify]: Simplify U into U 1.418 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.418 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.418 * [backup-simplify]: Simplify (- 0) into 0 1.418 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.418 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 1.419 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 1.419 * [backup-simplify]: Simplify (* 1 1) into 1 1.419 * [backup-simplify]: Simplify (+ 1 0) into 1 1.420 * [backup-simplify]: Simplify (sqrt 1) into 1 1.420 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.421 * [backup-simplify]: Simplify (+ 0 0) into 0 1.421 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.421 * [taylor]: Taking taylor expansion of J in J 1.421 * [backup-simplify]: Simplify 0 into 0 1.421 * [backup-simplify]: Simplify 1 into 1 1.421 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.422 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.422 * [backup-simplify]: Simplify (- 0) into 0 1.422 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.422 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.422 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.422 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in U 1.422 * [taylor]: Taking taylor expansion of 2 in U 1.422 * [backup-simplify]: Simplify 2 into 2 1.422 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in U 1.422 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 1.422 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.422 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.422 * [taylor]: Taking taylor expansion of -1/2 in U 1.422 * [backup-simplify]: Simplify -1/2 into -1/2 1.422 * [taylor]: Taking taylor expansion of K in U 1.422 * [backup-simplify]: Simplify K into K 1.422 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.423 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.423 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.423 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 1.423 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 1.423 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 1.423 * [taylor]: Taking taylor expansion of (* 1 1) in U 1.423 * [taylor]: Taking taylor expansion of 1 in U 1.423 * [backup-simplify]: Simplify 1 into 1 1.423 * [taylor]: Taking taylor expansion of 1 in U 1.423 * [backup-simplify]: Simplify 1 into 1 1.423 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 1.423 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 1.423 * [taylor]: Taking taylor expansion of 1/2 in U 1.423 * [backup-simplify]: Simplify 1/2 into 1/2 1.423 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 1.423 * [taylor]: Taking taylor expansion of J in U 1.423 * [backup-simplify]: Simplify J into J 1.423 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 1.423 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.423 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.423 * [taylor]: Taking taylor expansion of -1/2 in U 1.423 * [backup-simplify]: Simplify -1/2 into -1/2 1.423 * [taylor]: Taking taylor expansion of K in U 1.423 * [backup-simplify]: Simplify K into K 1.423 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.423 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.423 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.423 * [taylor]: Taking taylor expansion of U in U 1.423 * [backup-simplify]: Simplify 0 into 0 1.423 * [backup-simplify]: Simplify 1 into 1 1.423 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.424 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.424 * [backup-simplify]: Simplify (- 0) into 0 1.424 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.424 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 1.425 * [backup-simplify]: Simplify (+ 0) into 0 1.425 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.425 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.426 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.426 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.427 * [backup-simplify]: Simplify (- 0) into 0 1.427 * [backup-simplify]: Simplify (+ 0 0) into 0 1.427 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 1.427 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 1.427 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 1.428 * [taylor]: Taking taylor expansion of 1/2 in U 1.428 * [backup-simplify]: Simplify 1/2 into 1/2 1.428 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 1.428 * [taylor]: Taking taylor expansion of J in U 1.428 * [backup-simplify]: Simplify J into J 1.428 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 1.428 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.428 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.428 * [taylor]: Taking taylor expansion of -1/2 in U 1.428 * [backup-simplify]: Simplify -1/2 into -1/2 1.428 * [taylor]: Taking taylor expansion of K in U 1.428 * [backup-simplify]: Simplify K into K 1.428 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.428 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.428 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.428 * [taylor]: Taking taylor expansion of U in U 1.428 * [backup-simplify]: Simplify 0 into 0 1.428 * [backup-simplify]: Simplify 1 into 1 1.428 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.428 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.429 * [backup-simplify]: Simplify (- 0) into 0 1.429 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.429 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 1.429 * [backup-simplify]: Simplify (+ 0) into 0 1.429 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.430 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.430 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.431 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.431 * [backup-simplify]: Simplify (- 0) into 0 1.431 * [backup-simplify]: Simplify (+ 0 0) into 0 1.432 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 1.432 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 1.432 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.432 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.432 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1.433 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1.433 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.434 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.434 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.435 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.435 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.436 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.436 * [backup-simplify]: Simplify (- 0) into 0 1.437 * [backup-simplify]: Simplify (+ 0 0) into 0 1.437 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 1.437 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 1.438 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 1.439 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.439 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.440 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.440 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.441 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.441 * [backup-simplify]: Simplify (- 0) into 0 1.442 * [backup-simplify]: Simplify (+ 0 0) into 0 1.442 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 1.442 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 1.443 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 1.443 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 1.443 * [backup-simplify]: Simplify (+ 0 0) into 0 1.444 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 1.444 * [taylor]: Taking taylor expansion of J in U 1.444 * [backup-simplify]: Simplify J into J 1.444 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.444 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.444 * [backup-simplify]: Simplify (- 0) into 0 1.444 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.444 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 1.445 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 1.445 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in U 1.445 * [taylor]: Taking taylor expansion of 2 in U 1.445 * [backup-simplify]: Simplify 2 into 2 1.445 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in U 1.445 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 1.445 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.445 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.445 * [taylor]: Taking taylor expansion of -1/2 in U 1.445 * [backup-simplify]: Simplify -1/2 into -1/2 1.445 * [taylor]: Taking taylor expansion of K in U 1.445 * [backup-simplify]: Simplify K into K 1.445 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.445 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.445 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.445 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 1.445 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 1.445 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 1.445 * [taylor]: Taking taylor expansion of (* 1 1) in U 1.445 * [taylor]: Taking taylor expansion of 1 in U 1.445 * [backup-simplify]: Simplify 1 into 1 1.445 * [taylor]: Taking taylor expansion of 1 in U 1.445 * [backup-simplify]: Simplify 1 into 1 1.445 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 1.445 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 1.445 * [taylor]: Taking taylor expansion of 1/2 in U 1.445 * [backup-simplify]: Simplify 1/2 into 1/2 1.445 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 1.445 * [taylor]: Taking taylor expansion of J in U 1.445 * [backup-simplify]: Simplify J into J 1.445 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 1.445 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.445 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.445 * [taylor]: Taking taylor expansion of -1/2 in U 1.445 * [backup-simplify]: Simplify -1/2 into -1/2 1.445 * [taylor]: Taking taylor expansion of K in U 1.445 * [backup-simplify]: Simplify K into K 1.445 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.445 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.445 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.445 * [taylor]: Taking taylor expansion of U in U 1.445 * [backup-simplify]: Simplify 0 into 0 1.445 * [backup-simplify]: Simplify 1 into 1 1.445 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.445 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.446 * [backup-simplify]: Simplify (- 0) into 0 1.446 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.446 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 1.446 * [backup-simplify]: Simplify (+ 0) into 0 1.446 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.447 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.447 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.447 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.447 * [backup-simplify]: Simplify (- 0) into 0 1.448 * [backup-simplify]: Simplify (+ 0 0) into 0 1.448 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 1.448 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 1.448 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 1.448 * [taylor]: Taking taylor expansion of 1/2 in U 1.448 * [backup-simplify]: Simplify 1/2 into 1/2 1.448 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 1.448 * [taylor]: Taking taylor expansion of J in U 1.448 * [backup-simplify]: Simplify J into J 1.448 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 1.448 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.448 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.448 * [taylor]: Taking taylor expansion of -1/2 in U 1.448 * [backup-simplify]: Simplify -1/2 into -1/2 1.448 * [taylor]: Taking taylor expansion of K in U 1.448 * [backup-simplify]: Simplify K into K 1.448 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.448 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.448 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.448 * [taylor]: Taking taylor expansion of U in U 1.448 * [backup-simplify]: Simplify 0 into 0 1.448 * [backup-simplify]: Simplify 1 into 1 1.448 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.449 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.449 * [backup-simplify]: Simplify (- 0) into 0 1.449 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.449 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 1.449 * [backup-simplify]: Simplify (+ 0) into 0 1.449 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.450 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.450 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.450 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.450 * [backup-simplify]: Simplify (- 0) into 0 1.451 * [backup-simplify]: Simplify (+ 0 0) into 0 1.451 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 1.451 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 1.451 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.451 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.451 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1.452 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1.452 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.452 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.453 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.453 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.453 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.453 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.454 * [backup-simplify]: Simplify (- 0) into 0 1.454 * [backup-simplify]: Simplify (+ 0 0) into 0 1.454 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 1.455 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 1.455 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 1.455 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.456 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.456 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.457 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.457 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.457 * [backup-simplify]: Simplify (- 0) into 0 1.457 * [backup-simplify]: Simplify (+ 0 0) into 0 1.458 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 1.458 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 1.458 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 1.458 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 1.459 * [backup-simplify]: Simplify (+ 0 0) into 0 1.459 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 1.459 * [taylor]: Taking taylor expansion of J in U 1.459 * [backup-simplify]: Simplify J into J 1.459 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.459 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.459 * [backup-simplify]: Simplify (- 0) into 0 1.459 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.459 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 1.460 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 1.460 * [backup-simplify]: Simplify (* 2 1/2) into 1 1.460 * [taylor]: Taking taylor expansion of 1 in J 1.460 * [backup-simplify]: Simplify 1 into 1 1.460 * [backup-simplify]: Simplify (+ 0) into 0 1.460 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.461 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.461 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.461 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.461 * [backup-simplify]: Simplify (- 0) into 0 1.462 * [backup-simplify]: Simplify (+ 0 0) into 0 1.462 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 1.462 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)))) into 0 1.462 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0 1.462 * [taylor]: Taking taylor expansion of 0 in J 1.462 * [backup-simplify]: Simplify 0 into 0 1.462 * [taylor]: Taking taylor expansion of 1 in K 1.462 * [backup-simplify]: Simplify 1 into 1 1.462 * [backup-simplify]: Simplify 1 into 1 1.463 * [backup-simplify]: Simplify (* 1 1) into 1 1.463 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.464 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.464 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.465 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.465 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.465 * [backup-simplify]: Simplify (- 0) into 0 1.466 * [backup-simplify]: Simplify (+ 0 0) into 0 1.466 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.466 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 1.467 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 1.467 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.468 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.468 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.469 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.469 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.470 * [backup-simplify]: Simplify (- 0) into 0 1.470 * [backup-simplify]: Simplify (+ 0 0) into 0 1.470 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.471 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 1.471 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 1.472 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into 0 1.472 * [backup-simplify]: Simplify (+ 1 0) into 1 1.472 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 1.473 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.473 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.473 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.474 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.474 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.474 * [backup-simplify]: Simplify (- 0) into 0 1.475 * [backup-simplify]: Simplify (+ 0 0) into 0 1.475 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into (/ (pow (cos (/ -1/2 K)) 2) J) 1.475 * [backup-simplify]: Simplify (- (/ (/ (pow (cos (/ -1/2 K)) 2) J) J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 1.476 * [backup-simplify]: Simplify (+ (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 1.476 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J 1.476 * [taylor]: Taking taylor expansion of 2 in J 1.476 * [backup-simplify]: Simplify 2 into 2 1.476 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J 1.476 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 1.476 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.476 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.476 * [taylor]: Taking taylor expansion of -1/2 in J 1.476 * [backup-simplify]: Simplify -1/2 into -1/2 1.476 * [taylor]: Taking taylor expansion of K in J 1.476 * [backup-simplify]: Simplify K into K 1.476 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.476 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.476 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.476 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.476 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.476 * [backup-simplify]: Simplify (- 0) into 0 1.477 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.477 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.477 * [taylor]: Taking taylor expansion of J in J 1.477 * [backup-simplify]: Simplify 0 into 0 1.477 * [backup-simplify]: Simplify 1 into 1 1.477 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.477 * [backup-simplify]: Simplify (* 1 1) into 1 1.477 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 1.477 * [backup-simplify]: Simplify (+ 0) into 0 1.478 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.478 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.478 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.478 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.479 * [backup-simplify]: Simplify (- 0) into 0 1.479 * [backup-simplify]: Simplify (+ 0 0) into 0 1.479 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.479 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.480 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 1.480 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 1.480 * [taylor]: Taking taylor expansion of 0 in K 1.480 * [backup-simplify]: Simplify 0 into 0 1.480 * [backup-simplify]: Simplify 0 into 0 1.480 * [taylor]: Taking taylor expansion of 0 in K 1.480 * [backup-simplify]: Simplify 0 into 0 1.480 * [backup-simplify]: Simplify 0 into 0 1.480 * [taylor]: Taking taylor expansion of 0 in K 1.480 * [backup-simplify]: Simplify 0 into 0 1.481 * [backup-simplify]: Simplify 0 into 0 1.481 * [backup-simplify]: Simplify 0 into 0 1.481 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.482 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 1.483 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.483 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.485 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.486 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 1.486 * [backup-simplify]: Simplify (- 0) into 0 1.487 * [backup-simplify]: Simplify (+ 0 0) into 0 1.487 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.487 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 1.488 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K))))))) into 0 1.489 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 1.490 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.490 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.491 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.492 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 1.492 * [backup-simplify]: Simplify (- 0) into 0 1.492 * [backup-simplify]: Simplify (+ 0 0) into 0 1.493 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.493 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 1.494 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K))))))) into 0 1.494 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0 1.495 * [backup-simplify]: Simplify (+ 0 0) into 0 1.495 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 1.495 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.496 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.496 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.497 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.497 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.497 * [backup-simplify]: Simplify (- 0) into 0 1.498 * [backup-simplify]: Simplify (+ 0 0) into 0 1.498 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0 1.498 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)) (* (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) (/ 0 J)))) into 0 1.499 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 1.499 * [taylor]: Taking taylor expansion of 0 in J 1.499 * [backup-simplify]: Simplify 0 into 0 1.500 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.500 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.500 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.501 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.501 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.501 * [backup-simplify]: Simplify (- 0) into 0 1.502 * [backup-simplify]: Simplify (+ 0 0) into 0 1.502 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 1.502 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.503 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.504 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0 1.504 * [taylor]: Taking taylor expansion of 0 in K 1.504 * [backup-simplify]: Simplify 0 into 0 1.504 * [backup-simplify]: Simplify 0 into 0 1.504 * [taylor]: Taking taylor expansion of 0 in K 1.504 * [backup-simplify]: Simplify 0 into 0 1.504 * [backup-simplify]: Simplify 0 into 0 1.504 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U) 1.504 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 1.504 * [backup-simplify]: Simplify (/ U (* (* 2 J) (cos (/ K 2)))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 1.504 * [approximate]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in (U J K) around 0 1.504 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 1.504 * [taylor]: Taking taylor expansion of 1/2 in K 1.504 * [backup-simplify]: Simplify 1/2 into 1/2 1.504 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 1.504 * [taylor]: Taking taylor expansion of U in K 1.504 * [backup-simplify]: Simplify U into U 1.504 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 1.504 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.504 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.504 * [taylor]: Taking taylor expansion of 1/2 in K 1.504 * [backup-simplify]: Simplify 1/2 into 1/2 1.504 * [taylor]: Taking taylor expansion of K in K 1.504 * [backup-simplify]: Simplify 0 into 0 1.504 * [backup-simplify]: Simplify 1 into 1 1.505 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.505 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.505 * [taylor]: Taking taylor expansion of J in K 1.505 * [backup-simplify]: Simplify J into J 1.505 * [backup-simplify]: Simplify (* 1 J) into J 1.505 * [backup-simplify]: Simplify (/ U J) into (/ U J) 1.505 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 1.505 * [taylor]: Taking taylor expansion of 1/2 in J 1.505 * [backup-simplify]: Simplify 1/2 into 1/2 1.505 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 1.505 * [taylor]: Taking taylor expansion of U in J 1.505 * [backup-simplify]: Simplify U into U 1.505 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 1.505 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.505 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.505 * [taylor]: Taking taylor expansion of 1/2 in J 1.505 * [backup-simplify]: Simplify 1/2 into 1/2 1.505 * [taylor]: Taking taylor expansion of K in J 1.505 * [backup-simplify]: Simplify K into K 1.506 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.506 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.506 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.506 * [taylor]: Taking taylor expansion of J in J 1.506 * [backup-simplify]: Simplify 0 into 0 1.506 * [backup-simplify]: Simplify 1 into 1 1.506 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.506 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.506 * [backup-simplify]: Simplify (- 0) into 0 1.506 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.506 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 1.506 * [backup-simplify]: Simplify (+ 0) into 0 1.507 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.507 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.507 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.508 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.508 * [backup-simplify]: Simplify (- 0) into 0 1.508 * [backup-simplify]: Simplify (+ 0 0) into 0 1.508 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 1.509 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 1.509 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 1.509 * [taylor]: Taking taylor expansion of 1/2 in U 1.509 * [backup-simplify]: Simplify 1/2 into 1/2 1.509 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 1.509 * [taylor]: Taking taylor expansion of U in U 1.509 * [backup-simplify]: Simplify 0 into 0 1.509 * [backup-simplify]: Simplify 1 into 1 1.509 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 1.509 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.509 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.509 * [taylor]: Taking taylor expansion of 1/2 in U 1.509 * [backup-simplify]: Simplify 1/2 into 1/2 1.509 * [taylor]: Taking taylor expansion of K in U 1.509 * [backup-simplify]: Simplify K into K 1.509 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.509 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.509 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.509 * [taylor]: Taking taylor expansion of J in U 1.509 * [backup-simplify]: Simplify J into J 1.509 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.509 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.509 * [backup-simplify]: Simplify (- 0) into 0 1.509 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.509 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 1.509 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 1.510 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 1.510 * [taylor]: Taking taylor expansion of 1/2 in U 1.510 * [backup-simplify]: Simplify 1/2 into 1/2 1.510 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 1.510 * [taylor]: Taking taylor expansion of U in U 1.510 * [backup-simplify]: Simplify 0 into 0 1.510 * [backup-simplify]: Simplify 1 into 1 1.510 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 1.510 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.510 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.510 * [taylor]: Taking taylor expansion of 1/2 in U 1.510 * [backup-simplify]: Simplify 1/2 into 1/2 1.510 * [taylor]: Taking taylor expansion of K in U 1.510 * [backup-simplify]: Simplify K into K 1.510 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.510 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.510 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.510 * [taylor]: Taking taylor expansion of J in U 1.510 * [backup-simplify]: Simplify J into J 1.510 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.510 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.510 * [backup-simplify]: Simplify (- 0) into 0 1.510 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.510 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 1.510 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 1.511 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 1.511 * [taylor]: Taking taylor expansion of (/ 1/2 (* (cos (* 1/2 K)) J)) in J 1.511 * [taylor]: Taking taylor expansion of 1/2 in J 1.511 * [backup-simplify]: Simplify 1/2 into 1/2 1.511 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 1.511 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.511 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.511 * [taylor]: Taking taylor expansion of 1/2 in J 1.511 * [backup-simplify]: Simplify 1/2 into 1/2 1.511 * [taylor]: Taking taylor expansion of K in J 1.511 * [backup-simplify]: Simplify K into K 1.511 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.511 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.511 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.511 * [taylor]: Taking taylor expansion of J in J 1.511 * [backup-simplify]: Simplify 0 into 0 1.511 * [backup-simplify]: Simplify 1 into 1 1.511 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.511 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.511 * [backup-simplify]: Simplify (- 0) into 0 1.511 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.511 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 1.512 * [backup-simplify]: Simplify (+ 0) into 0 1.512 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.512 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.513 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.513 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.514 * [backup-simplify]: Simplify (- 0) into 0 1.514 * [backup-simplify]: Simplify (+ 0 0) into 0 1.514 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 1.515 * [backup-simplify]: Simplify (/ 1/2 (cos (* 1/2 K))) into (/ 1/2 (cos (* 1/2 K))) 1.515 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (* 1/2 K))) in K 1.515 * [taylor]: Taking taylor expansion of 1/2 in K 1.515 * [backup-simplify]: Simplify 1/2 into 1/2 1.515 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.515 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.515 * [taylor]: Taking taylor expansion of 1/2 in K 1.515 * [backup-simplify]: Simplify 1/2 into 1/2 1.515 * [taylor]: Taking taylor expansion of K in K 1.515 * [backup-simplify]: Simplify 0 into 0 1.515 * [backup-simplify]: Simplify 1 into 1 1.515 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.516 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.516 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.516 * [backup-simplify]: Simplify 1/2 into 1/2 1.517 * [backup-simplify]: Simplify (+ 0) into 0 1.517 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.518 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.519 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.519 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.520 * [backup-simplify]: Simplify (- 0) into 0 1.520 * [backup-simplify]: Simplify (+ 0 0) into 0 1.520 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 1.521 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 1.521 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 1.521 * [taylor]: Taking taylor expansion of 0 in J 1.522 * [backup-simplify]: Simplify 0 into 0 1.522 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.523 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.524 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 1.525 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.525 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.526 * [backup-simplify]: Simplify (- 0) into 0 1.526 * [backup-simplify]: Simplify (+ 0 0) into 0 1.527 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 1.527 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 1.527 * [taylor]: Taking taylor expansion of 0 in K 1.527 * [backup-simplify]: Simplify 0 into 0 1.527 * [backup-simplify]: Simplify 0 into 0 1.527 * [backup-simplify]: Simplify (+ 0) into 0 1.528 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.528 * [backup-simplify]: Simplify 0 into 0 1.529 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.529 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.530 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 1.530 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.530 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.531 * [backup-simplify]: Simplify (- 0) into 0 1.531 * [backup-simplify]: Simplify (+ 0 0) into 0 1.531 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0 1.531 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))) (* 0 (/ 0 (* (cos (* 1/2 K)) J))))) into 0 1.532 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J))))) into 0 1.532 * [taylor]: Taking taylor expansion of 0 in J 1.532 * [backup-simplify]: Simplify 0 into 0 1.532 * [taylor]: Taking taylor expansion of 0 in K 1.532 * [backup-simplify]: Simplify 0 into 0 1.532 * [backup-simplify]: Simplify 0 into 0 1.533 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.533 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.534 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 1.535 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.535 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.535 * [backup-simplify]: Simplify (- 0) into 0 1.536 * [backup-simplify]: Simplify (+ 0 0) into 0 1.536 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.536 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0 1.536 * [taylor]: Taking taylor expansion of 0 in K 1.536 * [backup-simplify]: Simplify 0 into 0 1.536 * [backup-simplify]: Simplify 0 into 0 1.536 * [backup-simplify]: Simplify 0 into 0 1.537 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 1.538 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/16 1.538 * [backup-simplify]: Simplify 1/16 into 1/16 1.538 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.539 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.540 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 1.540 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.541 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.541 * [backup-simplify]: Simplify (- 0) into 0 1.541 * [backup-simplify]: Simplify (+ 0 0) into 0 1.542 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 1.542 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))) (* 0 (/ 0 (* (cos (* 1/2 K)) J))) (* 0 (/ 0 (* (cos (* 1/2 K)) J))))) into 0 1.543 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))))) into 0 1.543 * [taylor]: Taking taylor expansion of 0 in J 1.543 * [backup-simplify]: Simplify 0 into 0 1.543 * [taylor]: Taking taylor expansion of 0 in K 1.543 * [backup-simplify]: Simplify 0 into 0 1.543 * [backup-simplify]: Simplify 0 into 0 1.543 * [taylor]: Taking taylor expansion of 0 in K 1.543 * [backup-simplify]: Simplify 0 into 0 1.543 * [backup-simplify]: Simplify 0 into 0 1.544 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 1.545 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.546 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0 1.547 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.547 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 1.547 * [backup-simplify]: Simplify (- 0) into 0 1.548 * [backup-simplify]: Simplify (+ 0 0) into 0 1.548 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.548 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0 1.548 * [taylor]: Taking taylor expansion of 0 in K 1.548 * [backup-simplify]: Simplify 0 into 0 1.548 * [backup-simplify]: Simplify 0 into 0 1.548 * [backup-simplify]: Simplify 0 into 0 1.549 * [backup-simplify]: Simplify 0 into 0 1.549 * [backup-simplify]: Simplify 0 into 0 1.549 * [backup-simplify]: Simplify (+ (* 1/16 (* (pow K 2) (* (/ 1 J) U))) (* 1/2 (* 1 (* (/ 1 J) U)))) into (+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J))) 1.549 * [backup-simplify]: Simplify (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 1.549 * [approximate]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in (U J K) around 0 1.549 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 1.549 * [taylor]: Taking taylor expansion of 1/2 in K 1.549 * [backup-simplify]: Simplify 1/2 into 1/2 1.549 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 1.549 * [taylor]: Taking taylor expansion of J in K 1.549 * [backup-simplify]: Simplify J into J 1.549 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 1.549 * [taylor]: Taking taylor expansion of U in K 1.549 * [backup-simplify]: Simplify U into U 1.549 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.549 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.549 * [taylor]: Taking taylor expansion of 1/2 in K 1.549 * [backup-simplify]: Simplify 1/2 into 1/2 1.549 * [taylor]: Taking taylor expansion of K in K 1.549 * [backup-simplify]: Simplify 0 into 0 1.549 * [backup-simplify]: Simplify 1 into 1 1.550 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.550 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.550 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 1.550 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 1.550 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 1.550 * [taylor]: Taking taylor expansion of 1/2 in J 1.550 * [backup-simplify]: Simplify 1/2 into 1/2 1.550 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 1.550 * [taylor]: Taking taylor expansion of J in J 1.550 * [backup-simplify]: Simplify 0 into 0 1.550 * [backup-simplify]: Simplify 1 into 1 1.550 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 1.550 * [taylor]: Taking taylor expansion of U in J 1.550 * [backup-simplify]: Simplify U into U 1.550 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.550 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.550 * [taylor]: Taking taylor expansion of 1/2 in J 1.550 * [backup-simplify]: Simplify 1/2 into 1/2 1.550 * [taylor]: Taking taylor expansion of K in J 1.550 * [backup-simplify]: Simplify K into K 1.550 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.550 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.550 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.550 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.550 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.550 * [backup-simplify]: Simplify (- 0) into 0 1.550 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.551 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 1.551 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 1.551 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 1.551 * [taylor]: Taking taylor expansion of 1/2 in U 1.551 * [backup-simplify]: Simplify 1/2 into 1/2 1.551 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 1.551 * [taylor]: Taking taylor expansion of J in U 1.551 * [backup-simplify]: Simplify J into J 1.551 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 1.551 * [taylor]: Taking taylor expansion of U in U 1.551 * [backup-simplify]: Simplify 0 into 0 1.551 * [backup-simplify]: Simplify 1 into 1 1.551 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.551 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.551 * [taylor]: Taking taylor expansion of 1/2 in U 1.551 * [backup-simplify]: Simplify 1/2 into 1/2 1.551 * [taylor]: Taking taylor expansion of K in U 1.551 * [backup-simplify]: Simplify K into K 1.551 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.551 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.551 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.551 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.551 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.551 * [backup-simplify]: Simplify (- 0) into 0 1.551 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.551 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 1.552 * [backup-simplify]: Simplify (+ 0) into 0 1.552 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.552 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.553 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.553 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.553 * [backup-simplify]: Simplify (- 0) into 0 1.553 * [backup-simplify]: Simplify (+ 0 0) into 0 1.554 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 1.554 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 1.554 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 1.554 * [taylor]: Taking taylor expansion of 1/2 in U 1.554 * [backup-simplify]: Simplify 1/2 into 1/2 1.554 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 1.554 * [taylor]: Taking taylor expansion of J in U 1.554 * [backup-simplify]: Simplify J into J 1.554 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 1.554 * [taylor]: Taking taylor expansion of U in U 1.554 * [backup-simplify]: Simplify 0 into 0 1.554 * [backup-simplify]: Simplify 1 into 1 1.554 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.554 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.554 * [taylor]: Taking taylor expansion of 1/2 in U 1.554 * [backup-simplify]: Simplify 1/2 into 1/2 1.554 * [taylor]: Taking taylor expansion of K in U 1.554 * [backup-simplify]: Simplify K into K 1.554 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.554 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.554 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.554 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.554 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.554 * [backup-simplify]: Simplify (- 0) into 0 1.554 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.554 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 1.555 * [backup-simplify]: Simplify (+ 0) into 0 1.555 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.555 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.556 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.556 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.556 * [backup-simplify]: Simplify (- 0) into 0 1.556 * [backup-simplify]: Simplify (+ 0 0) into 0 1.557 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 1.557 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 1.557 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.557 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 1.557 * [taylor]: Taking taylor expansion of 1/2 in J 1.557 * [backup-simplify]: Simplify 1/2 into 1/2 1.557 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 1.557 * [taylor]: Taking taylor expansion of J in J 1.557 * [backup-simplify]: Simplify 0 into 0 1.557 * [backup-simplify]: Simplify 1 into 1 1.557 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.557 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.557 * [taylor]: Taking taylor expansion of 1/2 in J 1.557 * [backup-simplify]: Simplify 1/2 into 1/2 1.557 * [taylor]: Taking taylor expansion of K in J 1.557 * [backup-simplify]: Simplify K into K 1.557 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.557 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.557 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.557 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.557 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.557 * [backup-simplify]: Simplify (- 0) into 0 1.558 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.558 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 1.558 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 1.558 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K 1.558 * [taylor]: Taking taylor expansion of 1/2 in K 1.558 * [backup-simplify]: Simplify 1/2 into 1/2 1.558 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.558 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.558 * [taylor]: Taking taylor expansion of 1/2 in K 1.558 * [backup-simplify]: Simplify 1/2 into 1/2 1.558 * [taylor]: Taking taylor expansion of K in K 1.558 * [backup-simplify]: Simplify 0 into 0 1.558 * [backup-simplify]: Simplify 1 into 1 1.558 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.558 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.558 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 1.558 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 1.559 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.559 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.559 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.560 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.560 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.560 * [backup-simplify]: Simplify (- 0) into 0 1.561 * [backup-simplify]: Simplify (+ 0 0) into 0 1.561 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 1.561 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 1.562 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 1.562 * [taylor]: Taking taylor expansion of 0 in J 1.562 * [backup-simplify]: Simplify 0 into 0 1.562 * [taylor]: Taking taylor expansion of 0 in K 1.562 * [backup-simplify]: Simplify 0 into 0 1.562 * [backup-simplify]: Simplify 0 into 0 1.562 * [backup-simplify]: Simplify (+ 0) into 0 1.562 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.562 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.563 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.563 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.563 * [backup-simplify]: Simplify (- 0) into 0 1.564 * [backup-simplify]: Simplify (+ 0 0) into 0 1.564 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 1.564 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 1.564 * [taylor]: Taking taylor expansion of 0 in K 1.564 * [backup-simplify]: Simplify 0 into 0 1.564 * [backup-simplify]: Simplify 0 into 0 1.564 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 1.564 * [backup-simplify]: Simplify 0 into 0 1.565 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.565 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.565 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.566 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.567 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.567 * [backup-simplify]: Simplify (- 0) into 0 1.567 * [backup-simplify]: Simplify (+ 0 0) into 0 1.568 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 1.568 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 1.569 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 1.569 * [taylor]: Taking taylor expansion of 0 in J 1.569 * [backup-simplify]: Simplify 0 into 0 1.569 * [taylor]: Taking taylor expansion of 0 in K 1.569 * [backup-simplify]: Simplify 0 into 0 1.569 * [backup-simplify]: Simplify 0 into 0 1.569 * [taylor]: Taking taylor expansion of 0 in K 1.569 * [backup-simplify]: Simplify 0 into 0 1.569 * [backup-simplify]: Simplify 0 into 0 1.569 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.570 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.570 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.570 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.571 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.571 * [backup-simplify]: Simplify (- 0) into 0 1.571 * [backup-simplify]: Simplify (+ 0 0) into 0 1.571 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 1.572 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0 1.572 * [taylor]: Taking taylor expansion of 0 in K 1.572 * [backup-simplify]: Simplify 0 into 0 1.572 * [backup-simplify]: Simplify 0 into 0 1.572 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 1.572 * [backup-simplify]: Simplify (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 1.572 * [approximate]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in (U J K) around 0 1.572 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 1.572 * [taylor]: Taking taylor expansion of 1/2 in K 1.572 * [backup-simplify]: Simplify 1/2 into 1/2 1.572 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 1.572 * [taylor]: Taking taylor expansion of J in K 1.572 * [backup-simplify]: Simplify J into J 1.572 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 1.572 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.572 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.572 * [taylor]: Taking taylor expansion of -1/2 in K 1.572 * [backup-simplify]: Simplify -1/2 into -1/2 1.572 * [taylor]: Taking taylor expansion of K in K 1.572 * [backup-simplify]: Simplify 0 into 0 1.572 * [backup-simplify]: Simplify 1 into 1 1.573 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.573 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.573 * [taylor]: Taking taylor expansion of U in K 1.573 * [backup-simplify]: Simplify U into U 1.573 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 1.573 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 1.573 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 1.573 * [taylor]: Taking taylor expansion of 1/2 in J 1.573 * [backup-simplify]: Simplify 1/2 into 1/2 1.573 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 1.573 * [taylor]: Taking taylor expansion of J in J 1.573 * [backup-simplify]: Simplify 0 into 0 1.573 * [backup-simplify]: Simplify 1 into 1 1.573 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 1.573 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.573 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.573 * [taylor]: Taking taylor expansion of -1/2 in J 1.573 * [backup-simplify]: Simplify -1/2 into -1/2 1.573 * [taylor]: Taking taylor expansion of K in J 1.573 * [backup-simplify]: Simplify K into K 1.573 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.573 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.573 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.573 * [taylor]: Taking taylor expansion of U in J 1.573 * [backup-simplify]: Simplify U into U 1.573 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.573 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.574 * [backup-simplify]: Simplify (- 0) into 0 1.574 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.574 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 1.574 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 1.574 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 1.574 * [taylor]: Taking taylor expansion of 1/2 in U 1.574 * [backup-simplify]: Simplify 1/2 into 1/2 1.574 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 1.574 * [taylor]: Taking taylor expansion of J in U 1.574 * [backup-simplify]: Simplify J into J 1.574 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 1.574 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.574 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.574 * [taylor]: Taking taylor expansion of -1/2 in U 1.574 * [backup-simplify]: Simplify -1/2 into -1/2 1.574 * [taylor]: Taking taylor expansion of K in U 1.574 * [backup-simplify]: Simplify K into K 1.574 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.574 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.574 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.574 * [taylor]: Taking taylor expansion of U in U 1.574 * [backup-simplify]: Simplify 0 into 0 1.574 * [backup-simplify]: Simplify 1 into 1 1.574 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.574 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.575 * [backup-simplify]: Simplify (- 0) into 0 1.575 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.575 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 1.575 * [backup-simplify]: Simplify (+ 0) into 0 1.575 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.575 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.576 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.576 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.576 * [backup-simplify]: Simplify (- 0) into 0 1.577 * [backup-simplify]: Simplify (+ 0 0) into 0 1.577 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 1.577 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 1.577 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 1.577 * [taylor]: Taking taylor expansion of 1/2 in U 1.577 * [backup-simplify]: Simplify 1/2 into 1/2 1.577 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 1.577 * [taylor]: Taking taylor expansion of J in U 1.577 * [backup-simplify]: Simplify J into J 1.577 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 1.577 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.577 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.577 * [taylor]: Taking taylor expansion of -1/2 in U 1.577 * [backup-simplify]: Simplify -1/2 into -1/2 1.577 * [taylor]: Taking taylor expansion of K in U 1.577 * [backup-simplify]: Simplify K into K 1.577 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.577 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.577 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.577 * [taylor]: Taking taylor expansion of U in U 1.577 * [backup-simplify]: Simplify 0 into 0 1.577 * [backup-simplify]: Simplify 1 into 1 1.577 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.577 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.579 * [backup-simplify]: Simplify (- 0) into 0 1.579 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.579 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 1.580 * [backup-simplify]: Simplify (+ 0) into 0 1.580 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.580 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.581 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.581 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.581 * [backup-simplify]: Simplify (- 0) into 0 1.582 * [backup-simplify]: Simplify (+ 0 0) into 0 1.582 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 1.582 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 1.582 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.582 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 1.582 * [taylor]: Taking taylor expansion of 1/2 in J 1.582 * [backup-simplify]: Simplify 1/2 into 1/2 1.582 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 1.582 * [taylor]: Taking taylor expansion of J in J 1.582 * [backup-simplify]: Simplify 0 into 0 1.582 * [backup-simplify]: Simplify 1 into 1 1.582 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.582 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.582 * [taylor]: Taking taylor expansion of -1/2 in J 1.582 * [backup-simplify]: Simplify -1/2 into -1/2 1.582 * [taylor]: Taking taylor expansion of K in J 1.582 * [backup-simplify]: Simplify K into K 1.582 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.582 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.582 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.582 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.583 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.583 * [backup-simplify]: Simplify (- 0) into 0 1.583 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.583 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 1.583 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 1.583 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K 1.583 * [taylor]: Taking taylor expansion of 1/2 in K 1.583 * [backup-simplify]: Simplify 1/2 into 1/2 1.583 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.583 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.583 * [taylor]: Taking taylor expansion of -1/2 in K 1.583 * [backup-simplify]: Simplify -1/2 into -1/2 1.583 * [taylor]: Taking taylor expansion of K in K 1.583 * [backup-simplify]: Simplify 0 into 0 1.583 * [backup-simplify]: Simplify 1 into 1 1.583 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.584 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.584 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 1.584 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 1.584 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.585 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.585 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.585 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.586 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.586 * [backup-simplify]: Simplify (- 0) into 0 1.586 * [backup-simplify]: Simplify (+ 0 0) into 0 1.586 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 1.587 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 1.587 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 1.587 * [taylor]: Taking taylor expansion of 0 in J 1.587 * [backup-simplify]: Simplify 0 into 0 1.587 * [taylor]: Taking taylor expansion of 0 in K 1.587 * [backup-simplify]: Simplify 0 into 0 1.587 * [backup-simplify]: Simplify 0 into 0 1.587 * [backup-simplify]: Simplify (+ 0) into 0 1.588 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.588 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.588 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.588 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.589 * [backup-simplify]: Simplify (- 0) into 0 1.589 * [backup-simplify]: Simplify (+ 0 0) into 0 1.589 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 1.589 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 1.589 * [taylor]: Taking taylor expansion of 0 in K 1.589 * [backup-simplify]: Simplify 0 into 0 1.589 * [backup-simplify]: Simplify 0 into 0 1.590 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 1.590 * [backup-simplify]: Simplify 0 into 0 1.590 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.591 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.591 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.592 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.592 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.592 * [backup-simplify]: Simplify (- 0) into 0 1.593 * [backup-simplify]: Simplify (+ 0 0) into 0 1.593 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.593 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 1.594 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 1.594 * [taylor]: Taking taylor expansion of 0 in J 1.594 * [backup-simplify]: Simplify 0 into 0 1.594 * [taylor]: Taking taylor expansion of 0 in K 1.594 * [backup-simplify]: Simplify 0 into 0 1.594 * [backup-simplify]: Simplify 0 into 0 1.594 * [taylor]: Taking taylor expansion of 0 in K 1.594 * [backup-simplify]: Simplify 0 into 0 1.594 * [backup-simplify]: Simplify 0 into 0 1.594 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.595 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.595 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.595 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.596 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.596 * [backup-simplify]: Simplify (- 0) into 0 1.596 * [backup-simplify]: Simplify (+ 0 0) into 0 1.596 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 1.597 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1/2 K)))))) into 0 1.597 * [taylor]: Taking taylor expansion of 0 in K 1.597 * [backup-simplify]: Simplify 0 into 0 1.597 * [backup-simplify]: Simplify 0 into 0 1.597 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 1.597 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2) 1.597 * [backup-simplify]: Simplify (* (* 2 J) (cos (/ K 2))) into (* 2 (* (cos (* 1/2 K)) J)) 1.597 * [approximate]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in (J K) around 0 1.597 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in K 1.597 * [taylor]: Taking taylor expansion of 2 in K 1.597 * [backup-simplify]: Simplify 2 into 2 1.597 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 1.598 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.598 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.598 * [taylor]: Taking taylor expansion of 1/2 in K 1.598 * [backup-simplify]: Simplify 1/2 into 1/2 1.598 * [taylor]: Taking taylor expansion of K in K 1.598 * [backup-simplify]: Simplify 0 into 0 1.598 * [backup-simplify]: Simplify 1 into 1 1.598 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.598 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.598 * [taylor]: Taking taylor expansion of J in K 1.598 * [backup-simplify]: Simplify J into J 1.598 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in J 1.598 * [taylor]: Taking taylor expansion of 2 in J 1.598 * [backup-simplify]: Simplify 2 into 2 1.598 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 1.598 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.598 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.598 * [taylor]: Taking taylor expansion of 1/2 in J 1.598 * [backup-simplify]: Simplify 1/2 into 1/2 1.598 * [taylor]: Taking taylor expansion of K in J 1.598 * [backup-simplify]: Simplify K into K 1.599 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.599 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.599 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.599 * [taylor]: Taking taylor expansion of J in J 1.599 * [backup-simplify]: Simplify 0 into 0 1.599 * [backup-simplify]: Simplify 1 into 1 1.599 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in J 1.599 * [taylor]: Taking taylor expansion of 2 in J 1.599 * [backup-simplify]: Simplify 2 into 2 1.599 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 1.599 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.599 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.599 * [taylor]: Taking taylor expansion of 1/2 in J 1.599 * [backup-simplify]: Simplify 1/2 into 1/2 1.599 * [taylor]: Taking taylor expansion of K in J 1.599 * [backup-simplify]: Simplify K into K 1.599 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.599 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.599 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.599 * [taylor]: Taking taylor expansion of J in J 1.599 * [backup-simplify]: Simplify 0 into 0 1.599 * [backup-simplify]: Simplify 1 into 1 1.599 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.599 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.599 * [backup-simplify]: Simplify (- 0) into 0 1.599 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.599 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 1.600 * [backup-simplify]: Simplify (* 2 0) into 0 1.600 * [taylor]: Taking taylor expansion of 0 in K 1.600 * [backup-simplify]: Simplify 0 into 0 1.600 * [backup-simplify]: Simplify 0 into 0 1.600 * [backup-simplify]: Simplify (+ 0) into 0 1.600 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.601 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.601 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.601 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.602 * [backup-simplify]: Simplify (- 0) into 0 1.602 * [backup-simplify]: Simplify (+ 0 0) into 0 1.602 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 1.602 * [backup-simplify]: Simplify (+ (* 2 (cos (* 1/2 K))) (* 0 0)) into (* 2 (cos (* 1/2 K))) 1.602 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K 1.602 * [taylor]: Taking taylor expansion of 2 in K 1.602 * [backup-simplify]: Simplify 2 into 2 1.602 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.602 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.603 * [taylor]: Taking taylor expansion of 1/2 in K 1.603 * [backup-simplify]: Simplify 1/2 into 1/2 1.603 * [taylor]: Taking taylor expansion of K in K 1.603 * [backup-simplify]: Simplify 0 into 0 1.603 * [backup-simplify]: Simplify 1 into 1 1.603 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.603 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.604 * [backup-simplify]: Simplify (* 2 1) into 2 1.604 * [backup-simplify]: Simplify 2 into 2 1.604 * [backup-simplify]: Simplify 0 into 0 1.604 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.605 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.605 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 1.605 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.606 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.606 * [backup-simplify]: Simplify (- 0) into 0 1.606 * [backup-simplify]: Simplify (+ 0 0) into 0 1.607 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 1.607 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0 1.607 * [taylor]: Taking taylor expansion of 0 in K 1.607 * [backup-simplify]: Simplify 0 into 0 1.607 * [backup-simplify]: Simplify 0 into 0 1.608 * [backup-simplify]: Simplify (+ 0) into 0 1.608 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.608 * [backup-simplify]: Simplify 0 into 0 1.608 * [backup-simplify]: Simplify 0 into 0 1.609 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.609 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.610 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 1.611 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.611 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.611 * [backup-simplify]: Simplify (- 0) into 0 1.611 * [backup-simplify]: Simplify (+ 0 0) into 0 1.612 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.613 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0)))) into 0 1.613 * [taylor]: Taking taylor expansion of 0 in K 1.613 * [backup-simplify]: Simplify 0 into 0 1.613 * [backup-simplify]: Simplify 0 into 0 1.613 * [backup-simplify]: Simplify 0 into 0 1.613 * [backup-simplify]: Simplify (* 2 (* 1 J)) into (* 2 J) 1.613 * [backup-simplify]: Simplify (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) into (* 2 (/ (cos (/ 1/2 K)) J)) 1.613 * [approximate]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in (J K) around 0 1.613 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in K 1.613 * [taylor]: Taking taylor expansion of 2 in K 1.613 * [backup-simplify]: Simplify 2 into 2 1.613 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 1.613 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.613 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.613 * [taylor]: Taking taylor expansion of 1/2 in K 1.613 * [backup-simplify]: Simplify 1/2 into 1/2 1.613 * [taylor]: Taking taylor expansion of K in K 1.613 * [backup-simplify]: Simplify 0 into 0 1.613 * [backup-simplify]: Simplify 1 into 1 1.613 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.613 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.613 * [taylor]: Taking taylor expansion of J in K 1.613 * [backup-simplify]: Simplify J into J 1.614 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 1.614 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in J 1.614 * [taylor]: Taking taylor expansion of 2 in J 1.614 * [backup-simplify]: Simplify 2 into 2 1.614 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 1.614 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.614 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.614 * [taylor]: Taking taylor expansion of 1/2 in J 1.614 * [backup-simplify]: Simplify 1/2 into 1/2 1.614 * [taylor]: Taking taylor expansion of K in J 1.614 * [backup-simplify]: Simplify K into K 1.614 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.614 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.614 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.614 * [taylor]: Taking taylor expansion of J in J 1.614 * [backup-simplify]: Simplify 0 into 0 1.614 * [backup-simplify]: Simplify 1 into 1 1.614 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.614 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.614 * [backup-simplify]: Simplify (- 0) into 0 1.614 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.614 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.614 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in J 1.614 * [taylor]: Taking taylor expansion of 2 in J 1.614 * [backup-simplify]: Simplify 2 into 2 1.614 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 1.614 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.614 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.614 * [taylor]: Taking taylor expansion of 1/2 in J 1.614 * [backup-simplify]: Simplify 1/2 into 1/2 1.614 * [taylor]: Taking taylor expansion of K in J 1.615 * [backup-simplify]: Simplify K into K 1.615 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.615 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.615 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.615 * [taylor]: Taking taylor expansion of J in J 1.615 * [backup-simplify]: Simplify 0 into 0 1.615 * [backup-simplify]: Simplify 1 into 1 1.615 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.615 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.615 * [backup-simplify]: Simplify (- 0) into 0 1.615 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.615 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.615 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) 1.615 * [taylor]: Taking taylor expansion of (* 2 (cos (/ 1/2 K))) in K 1.615 * [taylor]: Taking taylor expansion of 2 in K 1.615 * [backup-simplify]: Simplify 2 into 2 1.615 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.615 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.615 * [taylor]: Taking taylor expansion of 1/2 in K 1.615 * [backup-simplify]: Simplify 1/2 into 1/2 1.615 * [taylor]: Taking taylor expansion of K in K 1.615 * [backup-simplify]: Simplify 0 into 0 1.615 * [backup-simplify]: Simplify 1 into 1 1.616 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.616 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.616 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) 1.616 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) 1.616 * [backup-simplify]: Simplify (+ 0) into 0 1.616 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.617 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.617 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.617 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.617 * [backup-simplify]: Simplify (- 0) into 0 1.618 * [backup-simplify]: Simplify (+ 0 0) into 0 1.618 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 1.619 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0 1.619 * [taylor]: Taking taylor expansion of 0 in K 1.619 * [backup-simplify]: Simplify 0 into 0 1.619 * [backup-simplify]: Simplify 0 into 0 1.619 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0 1.619 * [backup-simplify]: Simplify 0 into 0 1.620 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.620 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.620 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.621 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.621 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.622 * [backup-simplify]: Simplify (- 0) into 0 1.622 * [backup-simplify]: Simplify (+ 0 0) into 0 1.623 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.624 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 1.624 * [taylor]: Taking taylor expansion of 0 in K 1.624 * [backup-simplify]: Simplify 0 into 0 1.624 * [backup-simplify]: Simplify 0 into 0 1.624 * [backup-simplify]: Simplify 0 into 0 1.625 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 1.625 * [backup-simplify]: Simplify 0 into 0 1.626 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.627 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.627 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.629 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.629 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.629 * [backup-simplify]: Simplify (- 0) into 0 1.630 * [backup-simplify]: Simplify (+ 0 0) into 0 1.632 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.633 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 1.633 * [taylor]: Taking taylor expansion of 0 in K 1.633 * [backup-simplify]: Simplify 0 into 0 1.633 * [backup-simplify]: Simplify 0 into 0 1.633 * [backup-simplify]: Simplify (* (* 2 (cos (/ 1/2 (/ 1 K)))) (* 1 (/ 1 (/ 1 J)))) into (* 2 (* (cos (* 1/2 K)) J)) 1.634 * [backup-simplify]: Simplify (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) into (* -2 (/ (cos (/ -1/2 K)) J)) 1.634 * [approximate]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in (J K) around 0 1.634 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in K 1.634 * [taylor]: Taking taylor expansion of -2 in K 1.634 * [backup-simplify]: Simplify -2 into -2 1.634 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 1.634 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.634 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.634 * [taylor]: Taking taylor expansion of -1/2 in K 1.634 * [backup-simplify]: Simplify -1/2 into -1/2 1.634 * [taylor]: Taking taylor expansion of K in K 1.634 * [backup-simplify]: Simplify 0 into 0 1.634 * [backup-simplify]: Simplify 1 into 1 1.634 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.634 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.634 * [taylor]: Taking taylor expansion of J in K 1.634 * [backup-simplify]: Simplify J into J 1.634 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 1.635 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in J 1.635 * [taylor]: Taking taylor expansion of -2 in J 1.635 * [backup-simplify]: Simplify -2 into -2 1.635 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 1.635 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.635 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.635 * [taylor]: Taking taylor expansion of -1/2 in J 1.635 * [backup-simplify]: Simplify -1/2 into -1/2 1.635 * [taylor]: Taking taylor expansion of K in J 1.635 * [backup-simplify]: Simplify K into K 1.635 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.635 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.635 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.635 * [taylor]: Taking taylor expansion of J in J 1.635 * [backup-simplify]: Simplify 0 into 0 1.635 * [backup-simplify]: Simplify 1 into 1 1.635 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.635 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.636 * [backup-simplify]: Simplify (- 0) into 0 1.636 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.636 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.636 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in J 1.636 * [taylor]: Taking taylor expansion of -2 in J 1.636 * [backup-simplify]: Simplify -2 into -2 1.636 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 1.636 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.636 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.636 * [taylor]: Taking taylor expansion of -1/2 in J 1.636 * [backup-simplify]: Simplify -1/2 into -1/2 1.636 * [taylor]: Taking taylor expansion of K in J 1.636 * [backup-simplify]: Simplify K into K 1.636 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.636 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.636 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.636 * [taylor]: Taking taylor expansion of J in J 1.636 * [backup-simplify]: Simplify 0 into 0 1.636 * [backup-simplify]: Simplify 1 into 1 1.636 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.636 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.637 * [backup-simplify]: Simplify (- 0) into 0 1.637 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.637 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.637 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) 1.637 * [taylor]: Taking taylor expansion of (* -2 (cos (/ -1/2 K))) in K 1.637 * [taylor]: Taking taylor expansion of -2 in K 1.637 * [backup-simplify]: Simplify -2 into -2 1.637 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.637 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.637 * [taylor]: Taking taylor expansion of -1/2 in K 1.637 * [backup-simplify]: Simplify -1/2 into -1/2 1.637 * [taylor]: Taking taylor expansion of K in K 1.637 * [backup-simplify]: Simplify 0 into 0 1.637 * [backup-simplify]: Simplify 1 into 1 1.637 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.638 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.638 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) 1.638 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) 1.638 * [backup-simplify]: Simplify (+ 0) into 0 1.638 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.638 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.639 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.639 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.639 * [backup-simplify]: Simplify (- 0) into 0 1.640 * [backup-simplify]: Simplify (+ 0 0) into 0 1.640 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 1.640 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0 1.640 * [taylor]: Taking taylor expansion of 0 in K 1.640 * [backup-simplify]: Simplify 0 into 0 1.640 * [backup-simplify]: Simplify 0 into 0 1.641 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0 1.641 * [backup-simplify]: Simplify 0 into 0 1.641 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.642 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.642 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.642 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.643 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.643 * [backup-simplify]: Simplify (- 0) into 0 1.643 * [backup-simplify]: Simplify (+ 0 0) into 0 1.644 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.645 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 1.645 * [taylor]: Taking taylor expansion of 0 in K 1.645 * [backup-simplify]: Simplify 0 into 0 1.645 * [backup-simplify]: Simplify 0 into 0 1.645 * [backup-simplify]: Simplify 0 into 0 1.645 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 1.645 * [backup-simplify]: Simplify 0 into 0 1.646 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.646 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.647 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.647 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.648 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.648 * [backup-simplify]: Simplify (- 0) into 0 1.648 * [backup-simplify]: Simplify (+ 0 0) into 0 1.650 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.650 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 1.650 * [taylor]: Taking taylor expansion of 0 in K 1.650 * [backup-simplify]: Simplify 0 into 0 1.650 * [backup-simplify]: Simplify 0 into 0 1.651 * [backup-simplify]: Simplify (* (* -2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (/ 1 (/ 1 (- J))))) into (* 2 (* (cos (* 1/2 K)) J)) 1.651 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.651 * [backup-simplify]: Simplify (* (cos (/ K 2)) (* -2 J)) into (* -2 (* (cos (* 1/2 K)) J)) 1.651 * [approximate]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in (K J) around 0 1.651 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J 1.651 * [taylor]: Taking taylor expansion of -2 in J 1.651 * [backup-simplify]: Simplify -2 into -2 1.651 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 1.651 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.651 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.651 * [taylor]: Taking taylor expansion of 1/2 in J 1.651 * [backup-simplify]: Simplify 1/2 into 1/2 1.651 * [taylor]: Taking taylor expansion of K in J 1.651 * [backup-simplify]: Simplify K into K 1.651 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.651 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.651 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.651 * [taylor]: Taking taylor expansion of J in J 1.651 * [backup-simplify]: Simplify 0 into 0 1.651 * [backup-simplify]: Simplify 1 into 1 1.651 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in K 1.651 * [taylor]: Taking taylor expansion of -2 in K 1.651 * [backup-simplify]: Simplify -2 into -2 1.651 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 1.651 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.651 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.651 * [taylor]: Taking taylor expansion of 1/2 in K 1.651 * [backup-simplify]: Simplify 1/2 into 1/2 1.651 * [taylor]: Taking taylor expansion of K in K 1.651 * [backup-simplify]: Simplify 0 into 0 1.651 * [backup-simplify]: Simplify 1 into 1 1.651 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.652 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.652 * [taylor]: Taking taylor expansion of J in K 1.652 * [backup-simplify]: Simplify J into J 1.652 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in K 1.652 * [taylor]: Taking taylor expansion of -2 in K 1.652 * [backup-simplify]: Simplify -2 into -2 1.652 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 1.652 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.652 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.652 * [taylor]: Taking taylor expansion of 1/2 in K 1.652 * [backup-simplify]: Simplify 1/2 into 1/2 1.652 * [taylor]: Taking taylor expansion of K in K 1.652 * [backup-simplify]: Simplify 0 into 0 1.652 * [backup-simplify]: Simplify 1 into 1 1.652 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.653 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.653 * [taylor]: Taking taylor expansion of J in K 1.653 * [backup-simplify]: Simplify J into J 1.653 * [backup-simplify]: Simplify (* 1 J) into J 1.653 * [backup-simplify]: Simplify (* -2 J) into (* -2 J) 1.653 * [taylor]: Taking taylor expansion of (* -2 J) in J 1.653 * [taylor]: Taking taylor expansion of -2 in J 1.653 * [backup-simplify]: Simplify -2 into -2 1.653 * [taylor]: Taking taylor expansion of J in J 1.653 * [backup-simplify]: Simplify 0 into 0 1.653 * [backup-simplify]: Simplify 1 into 1 1.653 * [backup-simplify]: Simplify (* -2 0) into 0 1.653 * [backup-simplify]: Simplify 0 into 0 1.654 * [backup-simplify]: Simplify (+ 0) into 0 1.654 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 1.654 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 J)) into 0 1.654 * [taylor]: Taking taylor expansion of 0 in J 1.654 * [backup-simplify]: Simplify 0 into 0 1.654 * [backup-simplify]: Simplify 0 into 0 1.655 * [backup-simplify]: Simplify (+ (* -2 1) (* 0 0)) into -2 1.655 * [backup-simplify]: Simplify -2 into -2 1.655 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 1.656 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J)) 1.656 * [backup-simplify]: Simplify (+ (* -2 (- (* 1/8 J))) (+ (* 0 0) (* 0 J))) into (* 1/4 J) 1.656 * [taylor]: Taking taylor expansion of (* 1/4 J) in J 1.656 * [taylor]: Taking taylor expansion of 1/4 in J 1.656 * [backup-simplify]: Simplify 1/4 into 1/4 1.656 * [taylor]: Taking taylor expansion of J in J 1.656 * [backup-simplify]: Simplify 0 into 0 1.656 * [backup-simplify]: Simplify 1 into 1 1.656 * [backup-simplify]: Simplify (* 1/4 0) into 0 1.656 * [backup-simplify]: Simplify 0 into 0 1.657 * [backup-simplify]: Simplify 0 into 0 1.657 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0 1.657 * [backup-simplify]: Simplify 0 into 0 1.658 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1.658 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.659 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0 1.660 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (- (* 1/8 J))) (+ (* 0 0) (* 0 J)))) into 0 1.660 * [taylor]: Taking taylor expansion of 0 in J 1.660 * [backup-simplify]: Simplify 0 into 0 1.660 * [backup-simplify]: Simplify 0 into 0 1.660 * [backup-simplify]: Simplify (+ (* 1/4 1) (* 0 0)) into 1/4 1.660 * [backup-simplify]: Simplify 1/4 into 1/4 1.660 * [backup-simplify]: Simplify 0 into 0 1.661 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.661 * [backup-simplify]: Simplify 0 into 0 1.662 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.663 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 1.664 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (+ (* 0 0) (* 1/384 J))))) into (* 1/384 J) 1.665 * [backup-simplify]: Simplify (+ (* -2 (* 1/384 J)) (+ (* 0 0) (+ (* 0 (- (* 1/8 J))) (+ (* 0 0) (* 0 J))))) into (- (* 1/192 J)) 1.665 * [taylor]: Taking taylor expansion of (- (* 1/192 J)) in J 1.665 * [taylor]: Taking taylor expansion of (* 1/192 J) in J 1.665 * [taylor]: Taking taylor expansion of 1/192 in J 1.665 * [backup-simplify]: Simplify 1/192 into 1/192 1.665 * [taylor]: Taking taylor expansion of J in J 1.665 * [backup-simplify]: Simplify 0 into 0 1.665 * [backup-simplify]: Simplify 1 into 1 1.666 * [backup-simplify]: Simplify (* 1/192 0) into 0 1.666 * [backup-simplify]: Simplify (- 0) into 0 1.666 * [backup-simplify]: Simplify 0 into 0 1.666 * [backup-simplify]: Simplify 0 into 0 1.667 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 1) (* 0 0))) into 0 1.667 * [backup-simplify]: Simplify 0 into 0 1.667 * [backup-simplify]: Simplify 0 into 0 1.667 * [backup-simplify]: Simplify (+ (* 1/4 (* J (pow K 2))) (* -2 (* J 1))) into (- (* 1/4 (* (pow K 2) J)) (* 2 J)) 1.667 * [backup-simplify]: Simplify (* (cos (/ (/ 1 K) 2)) (* -2 (/ 1 J))) into (* -2 (/ (cos (/ 1/2 K)) J)) 1.667 * [approximate]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in (K J) around 0 1.667 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in J 1.667 * [taylor]: Taking taylor expansion of -2 in J 1.667 * [backup-simplify]: Simplify -2 into -2 1.668 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 1.668 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.668 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.668 * [taylor]: Taking taylor expansion of 1/2 in J 1.668 * [backup-simplify]: Simplify 1/2 into 1/2 1.668 * [taylor]: Taking taylor expansion of K in J 1.668 * [backup-simplify]: Simplify K into K 1.668 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.668 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.668 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.668 * [taylor]: Taking taylor expansion of J in J 1.668 * [backup-simplify]: Simplify 0 into 0 1.668 * [backup-simplify]: Simplify 1 into 1 1.668 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.668 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.668 * [backup-simplify]: Simplify (- 0) into 0 1.669 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.669 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.669 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in K 1.669 * [taylor]: Taking taylor expansion of -2 in K 1.669 * [backup-simplify]: Simplify -2 into -2 1.669 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 1.669 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.669 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.669 * [taylor]: Taking taylor expansion of 1/2 in K 1.669 * [backup-simplify]: Simplify 1/2 into 1/2 1.669 * [taylor]: Taking taylor expansion of K in K 1.669 * [backup-simplify]: Simplify 0 into 0 1.669 * [backup-simplify]: Simplify 1 into 1 1.669 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.669 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.669 * [taylor]: Taking taylor expansion of J in K 1.669 * [backup-simplify]: Simplify J into J 1.669 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 1.669 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in K 1.670 * [taylor]: Taking taylor expansion of -2 in K 1.670 * [backup-simplify]: Simplify -2 into -2 1.670 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 1.670 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.670 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.670 * [taylor]: Taking taylor expansion of 1/2 in K 1.670 * [backup-simplify]: Simplify 1/2 into 1/2 1.670 * [taylor]: Taking taylor expansion of K in K 1.670 * [backup-simplify]: Simplify 0 into 0 1.670 * [backup-simplify]: Simplify 1 into 1 1.670 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.670 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.670 * [taylor]: Taking taylor expansion of J in K 1.670 * [backup-simplify]: Simplify J into J 1.670 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 1.670 * [backup-simplify]: Simplify (* -2 (/ (cos (/ 1/2 K)) J)) into (* -2 (/ (cos (/ 1/2 K)) J)) 1.671 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in J 1.671 * [taylor]: Taking taylor expansion of -2 in J 1.671 * [backup-simplify]: Simplify -2 into -2 1.671 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 1.671 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.671 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.671 * [taylor]: Taking taylor expansion of 1/2 in J 1.671 * [backup-simplify]: Simplify 1/2 into 1/2 1.671 * [taylor]: Taking taylor expansion of K in J 1.671 * [backup-simplify]: Simplify K into K 1.671 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.671 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.671 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.671 * [taylor]: Taking taylor expansion of J in J 1.671 * [backup-simplify]: Simplify 0 into 0 1.671 * [backup-simplify]: Simplify 1 into 1 1.671 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.671 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.671 * [backup-simplify]: Simplify (- 0) into 0 1.672 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.672 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.672 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 1.672 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 1.672 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 1.673 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (/ (cos (/ 1/2 K)) J))) into 0 1.673 * [taylor]: Taking taylor expansion of 0 in J 1.673 * [backup-simplify]: Simplify 0 into 0 1.673 * [backup-simplify]: Simplify (+ 0) into 0 1.673 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.674 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.674 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.675 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.675 * [backup-simplify]: Simplify (- 0) into 0 1.675 * [backup-simplify]: Simplify (+ 0 0) into 0 1.676 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 1.678 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 1.678 * [backup-simplify]: Simplify 0 into 0 1.679 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.680 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (/ (cos (/ 1/2 K)) J)))) into 0 1.680 * [taylor]: Taking taylor expansion of 0 in J 1.680 * [backup-simplify]: Simplify 0 into 0 1.680 * [backup-simplify]: Simplify 0 into 0 1.681 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.681 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.682 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.682 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.683 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.683 * [backup-simplify]: Simplify (- 0) into 0 1.683 * [backup-simplify]: Simplify (+ 0 0) into 0 1.685 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.685 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 1.685 * [backup-simplify]: Simplify 0 into 0 1.686 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.687 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ 1/2 K)) J))))) into 0 1.687 * [taylor]: Taking taylor expansion of 0 in J 1.687 * [backup-simplify]: Simplify 0 into 0 1.687 * [backup-simplify]: Simplify 0 into 0 1.687 * [backup-simplify]: Simplify 0 into 0 1.688 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.689 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.689 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.690 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.691 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.691 * [backup-simplify]: Simplify (- 0) into 0 1.692 * [backup-simplify]: Simplify (+ 0 0) into 0 1.693 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.695 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 1.695 * [backup-simplify]: Simplify 0 into 0 1.695 * [backup-simplify]: Simplify (* (* -2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 (/ 1 J)) 1)) into (* -2 (* (cos (* 1/2 K)) J)) 1.695 * [backup-simplify]: Simplify (* (cos (/ (/ 1 (- K)) 2)) (* -2 (/ 1 (- J)))) into (* 2 (/ (cos (/ -1/2 K)) J)) 1.695 * [approximate]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in (K J) around 0 1.695 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in J 1.695 * [taylor]: Taking taylor expansion of 2 in J 1.695 * [backup-simplify]: Simplify 2 into 2 1.695 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 1.695 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.695 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.695 * [taylor]: Taking taylor expansion of -1/2 in J 1.695 * [backup-simplify]: Simplify -1/2 into -1/2 1.695 * [taylor]: Taking taylor expansion of K in J 1.695 * [backup-simplify]: Simplify K into K 1.695 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.695 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.695 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.696 * [taylor]: Taking taylor expansion of J in J 1.696 * [backup-simplify]: Simplify 0 into 0 1.696 * [backup-simplify]: Simplify 1 into 1 1.696 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.696 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.696 * [backup-simplify]: Simplify (- 0) into 0 1.696 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.696 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.696 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in K 1.696 * [taylor]: Taking taylor expansion of 2 in K 1.696 * [backup-simplify]: Simplify 2 into 2 1.696 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 1.696 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.696 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.696 * [taylor]: Taking taylor expansion of -1/2 in K 1.697 * [backup-simplify]: Simplify -1/2 into -1/2 1.697 * [taylor]: Taking taylor expansion of K in K 1.697 * [backup-simplify]: Simplify 0 into 0 1.697 * [backup-simplify]: Simplify 1 into 1 1.697 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.697 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.697 * [taylor]: Taking taylor expansion of J in K 1.697 * [backup-simplify]: Simplify J into J 1.697 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 1.697 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in K 1.697 * [taylor]: Taking taylor expansion of 2 in K 1.697 * [backup-simplify]: Simplify 2 into 2 1.697 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 1.697 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.697 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.697 * [taylor]: Taking taylor expansion of -1/2 in K 1.697 * [backup-simplify]: Simplify -1/2 into -1/2 1.697 * [taylor]: Taking taylor expansion of K in K 1.697 * [backup-simplify]: Simplify 0 into 0 1.697 * [backup-simplify]: Simplify 1 into 1 1.698 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.698 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.698 * [taylor]: Taking taylor expansion of J in K 1.698 * [backup-simplify]: Simplify J into J 1.698 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 1.698 * [backup-simplify]: Simplify (* 2 (/ (cos (/ -1/2 K)) J)) into (* 2 (/ (cos (/ -1/2 K)) J)) 1.698 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in J 1.698 * [taylor]: Taking taylor expansion of 2 in J 1.698 * [backup-simplify]: Simplify 2 into 2 1.698 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 1.698 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.698 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.698 * [taylor]: Taking taylor expansion of -1/2 in J 1.698 * [backup-simplify]: Simplify -1/2 into -1/2 1.698 * [taylor]: Taking taylor expansion of K in J 1.699 * [backup-simplify]: Simplify K into K 1.699 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.699 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.699 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.699 * [taylor]: Taking taylor expansion of J in J 1.699 * [backup-simplify]: Simplify 0 into 0 1.699 * [backup-simplify]: Simplify 1 into 1 1.699 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.699 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.699 * [backup-simplify]: Simplify (- 0) into 0 1.699 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.699 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.700 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 1.700 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 1.700 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0 1.700 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (cos (/ -1/2 K)) J))) into 0 1.700 * [taylor]: Taking taylor expansion of 0 in J 1.700 * [backup-simplify]: Simplify 0 into 0 1.701 * [backup-simplify]: Simplify (+ 0) into 0 1.701 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.701 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.702 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.703 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.703 * [backup-simplify]: Simplify (- 0) into 0 1.703 * [backup-simplify]: Simplify (+ 0 0) into 0 1.704 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 1.705 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 1.705 * [backup-simplify]: Simplify 0 into 0 1.705 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.706 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (cos (/ -1/2 K)) J)))) into 0 1.706 * [taylor]: Taking taylor expansion of 0 in J 1.706 * [backup-simplify]: Simplify 0 into 0 1.706 * [backup-simplify]: Simplify 0 into 0 1.707 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.707 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.707 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.708 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.709 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.709 * [backup-simplify]: Simplify (- 0) into 0 1.709 * [backup-simplify]: Simplify (+ 0 0) into 0 1.711 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.712 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 1.712 * [backup-simplify]: Simplify 0 into 0 1.712 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.713 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ -1/2 K)) J))))) into 0 1.713 * [taylor]: Taking taylor expansion of 0 in J 1.713 * [backup-simplify]: Simplify 0 into 0 1.713 * [backup-simplify]: Simplify 0 into 0 1.713 * [backup-simplify]: Simplify 0 into 0 1.714 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.715 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.715 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.717 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.717 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.718 * [backup-simplify]: Simplify (- 0) into 0 1.718 * [backup-simplify]: Simplify (+ 0 0) into 0 1.720 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.721 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 1.721 * [backup-simplify]: Simplify 0 into 0 1.721 * [backup-simplify]: Simplify (* (* 2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (/ 1 (- J))) 1)) into (* -2 (* (cos (* 1/2 K)) J)) 1.721 * * * [progress]: simplifying candidates 1.721 * * * * [progress]: [ 1 / 104 ] simplifiying candidate # 1.721 * * * * [progress]: [ 2 / 104 ] simplifiying candidate # 1.721 * * * * [progress]: [ 3 / 104 ] simplifiying candidate # 1.722 * * * * [progress]: [ 4 / 104 ] simplifiying candidate # 1.722 * * * * [progress]: [ 5 / 104 ] simplifiying candidate # 1.722 * * * * [progress]: [ 6 / 104 ] simplifiying candidate # 1.722 * * * * [progress]: [ 7 / 104 ] simplifiying candidate # 1.722 * * * * [progress]: [ 8 / 104 ] simplifiying candidate # 1.722 * * * * [progress]: [ 9 / 104 ] simplifiying candidate # 1.722 * * * * [progress]: [ 10 / 104 ] simplifiying candidate # 1.722 * * * * [progress]: [ 11 / 104 ] simplifiying candidate # 1.722 * * * * [progress]: [ 12 / 104 ] simplifiying candidate # 1.722 * * * * [progress]: [ 13 / 104 ] simplifiying candidate # 1.722 * * * * [progress]: [ 14 / 104 ] simplifiying candidate # 1.722 * * * * [progress]: [ 15 / 104 ] simplifiying candidate # 1.722 * * * * [progress]: [ 16 / 104 ] simplifiying candidate # 1.722 * * * * [progress]: [ 17 / 104 ] simplifiying candidate # 1.722 * * * * [progress]: [ 18 / 104 ] simplifiying candidate # 1.723 * * * * [progress]: [ 19 / 104 ] simplifiying candidate # 1.723 * * * * [progress]: [ 20 / 104 ] simplifiying candidate # 1.723 * * * * [progress]: [ 21 / 104 ] simplifiying candidate # 1.723 * * * * [progress]: [ 22 / 104 ] simplifiying candidate # 1.723 * * * * [progress]: [ 23 / 104 ] simplifiying candidate #real (real->posit16 (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J))))))> 1.723 * * * * [progress]: [ 24 / 104 ] simplifiying candidate # 1.723 * * * * [progress]: [ 25 / 104 ] simplifiying candidate # 1.723 * * * * [progress]: [ 26 / 104 ] simplifiying candidate # 1.723 * * * * [progress]: [ 27 / 104 ] simplifiying candidate # 1.723 * * * * [progress]: [ 28 / 104 ] simplifiying candidate # 1.723 * * * * [progress]: [ 29 / 104 ] simplifiying candidate # 1.723 * * * * [progress]: [ 30 / 104 ] simplifiying candidate # 1.723 * * * * [progress]: [ 31 / 104 ] simplifiying candidate # 1.723 * * * * [progress]: [ 32 / 104 ] simplifiying candidate # 1.723 * * * * [progress]: [ 33 / 104 ] simplifiying candidate # 1.723 * * * * [progress]: [ 34 / 104 ] simplifiying candidate # 1.723 * * * * [progress]: [ 35 / 104 ] simplifiying candidate # 1.724 * * * * [progress]: [ 36 / 104 ] simplifiying candidate # 1.724 * * * * [progress]: [ 37 / 104 ] simplifiying candidate # 1.724 * * * * [progress]: [ 38 / 104 ] simplifiying candidate # 1.724 * * * * [progress]: [ 39 / 104 ] simplifiying candidate # 1.724 * * * * [progress]: [ 40 / 104 ] simplifiying candidate # 1.724 * * * * [progress]: [ 41 / 104 ] simplifiying candidate # 1.724 * * * * [progress]: [ 42 / 104 ] simplifiying candidate # 1.724 * * * * [progress]: [ 43 / 104 ] simplifiying candidate # 1.724 * * * * [progress]: [ 44 / 104 ] simplifiying candidate # 1.724 * * * * [progress]: [ 45 / 104 ] simplifiying candidate # 1.724 * * * * [progress]: [ 46 / 104 ] simplifiying candidate # 1.724 * * * * [progress]: [ 47 / 104 ] simplifiying candidate # 1.724 * * * * [progress]: [ 48 / 104 ] simplifiying candidate # 1.724 * * * * [progress]: [ 49 / 104 ] simplifiying candidate # 1.724 * * * * [progress]: [ 50 / 104 ] simplifiying candidate #real (real->posit16 (/ U (* (* 2 J) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))))> 1.724 * * * * [progress]: [ 51 / 104 ] simplifiying candidate # 1.725 * * * * [progress]: [ 52 / 104 ] simplifiying candidate # 1.725 * * * * [progress]: [ 53 / 104 ] simplifiying candidate # 1.725 * * * * [progress]: [ 54 / 104 ] simplifiying candidate # 1.725 * * * * [progress]: [ 55 / 104 ] simplifiying candidate # 1.725 * * * * [progress]: [ 56 / 104 ] simplifiying candidate # 1.725 * * * * [progress]: [ 57 / 104 ] simplifiying candidate # 1.725 * * * * [progress]: [ 58 / 104 ] simplifiying candidate # 1.725 * * * * [progress]: [ 59 / 104 ] simplifiying candidate # 1.725 * * * * [progress]: [ 60 / 104 ] simplifiying candidate # 1.725 * * * * [progress]: [ 61 / 104 ] simplifiying candidate # 1.725 * * * * [progress]: [ 62 / 104 ] simplifiying candidate # 1.725 * * * * [progress]: [ 63 / 104 ] simplifiying candidate # 1.725 * * * * [progress]: [ 64 / 104 ] simplifiying candidate # 1.725 * * * * [progress]: [ 65 / 104 ] simplifiying candidate # 1.725 * * * * [progress]: [ 66 / 104 ] simplifiying candidate # 1.725 * * * * [progress]: [ 67 / 104 ] simplifiying candidate # 1.726 * * * * [progress]: [ 68 / 104 ] simplifiying candidate # 1.726 * * * * [progress]: [ 69 / 104 ] simplifiying candidate # 1.726 * * * * [progress]: [ 70 / 104 ] simplifiying candidate #real (real->posit16 (* (* 2 J) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))))> 1.726 * * * * [progress]: [ 71 / 104 ] simplifiying candidate # 1.726 * * * * [progress]: [ 72 / 104 ] simplifiying candidate # 1.726 * * * * [progress]: [ 73 / 104 ] simplifiying candidate # 1.726 * * * * [progress]: [ 74 / 104 ] simplifiying candidate # 1.726 * * * * [progress]: [ 75 / 104 ] simplifiying candidate # 1.726 * * * * [progress]: [ 76 / 104 ] simplifiying candidate # 1.726 * * * * [progress]: [ 77 / 104 ] simplifiying candidate # 1.726 * * * * [progress]: [ 78 / 104 ] simplifiying candidate # 1.726 * * * * [progress]: [ 79 / 104 ] simplifiying candidate # 1.726 * * * * [progress]: [ 80 / 104 ] simplifiying candidate # 1.726 * * * * [progress]: [ 81 / 104 ] simplifiying candidate # 1.726 * * * * [progress]: [ 82 / 104 ] simplifiying candidate # 1.726 * * * * [progress]: [ 83 / 104 ] simplifiying candidate # 1.727 * * * * [progress]: [ 84 / 104 ] simplifiying candidate # 1.727 * * * * [progress]: [ 85 / 104 ] simplifiying candidate # 1.727 * * * * [progress]: [ 86 / 104 ] simplifiying candidate # 1.727 * * * * [progress]: [ 87 / 104 ] simplifiying candidate # 1.727 * * * * [progress]: [ 88 / 104 ] simplifiying candidate # 1.727 * * * * [progress]: [ 89 / 104 ] simplifiying candidate # 1.727 * * * * [progress]: [ 90 / 104 ] simplifiying candidate # 1.727 * * * * [progress]: [ 91 / 104 ] simplifiying candidate #real (real->posit16 (* (cos (/ K 2)) (* -2 J))))))> 1.727 * * * * [progress]: [ 92 / 104 ] simplifiying candidate # 1.727 * * * * [progress]: [ 93 / 104 ] simplifiying candidate # 1.727 * * * * [progress]: [ 94 / 104 ] simplifiying candidate # 1.727 * * * * [progress]: [ 95 / 104 ] simplifiying candidate # 1.727 * * * * [progress]: [ 96 / 104 ] simplifiying candidate # 1.727 * * * * [progress]: [ 97 / 104 ] simplifiying candidate # 1.727 * * * * [progress]: [ 98 / 104 ] simplifiying candidate # 1.727 * * * * [progress]: [ 99 / 104 ] simplifiying candidate # 1.727 * * * * [progress]: [ 100 / 104 ] simplifiying candidate # 1.728 * * * * [progress]: [ 101 / 104 ] simplifiying candidate # 1.728 * * * * [progress]: [ 102 / 104 ] simplifiying candidate # 1.728 * * * * [progress]: [ 103 / 104 ] simplifiying candidate # 1.728 * * * * [progress]: [ 104 / 104 ] simplifiying candidate # 1.729 * [simplify]: Simplifying: (expm1 (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))) (log1p (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))) (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J))) (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J))) (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J))) (+ (log (hypot 1 (/ U (* (* 2 J) (cos (/ K 2)))))) (+ (log (cos (/ K 2))) (+ (log -2) (log J)))) (+ (log (hypot 1 (/ U (* (* 2 J) (cos (/ K 2)))))) (+ (log (cos (/ K 2))) (log (* -2 J)))) (+ (log (hypot 1 (/ U (* (* 2 J) (cos (/ K 2)))))) (log (* (cos (/ K 2)) (* -2 J)))) (log (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))) (exp (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))) (* (* (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (hypot 1 (/ U (* (* 2 J) (cos (/ K 2)))))) (hypot 1 (/ U (* (* 2 J) (cos (/ K 2)))))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* -2 -2) -2) (* (* J J) J)))) (* (* (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (hypot 1 (/ U (* (* 2 J) (cos (/ K 2)))))) (hypot 1 (/ U (* (* 2 J) (cos (/ K 2)))))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* -2 J) (* -2 J)) (* -2 J)))) (* (* (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (hypot 1 (/ U (* (* 2 J) (cos (/ K 2)))))) (hypot 1 (/ U (* (* 2 J) (cos (/ K 2)))))) (* (* (* (cos (/ K 2)) (* -2 J)) (* (cos (/ K 2)) (* -2 J))) (* (cos (/ K 2)) (* -2 J)))) (* (cbrt (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))) (* (* (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J))) (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))) (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))) (sqrt (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))) (sqrt (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))) (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (cos (/ K 2))) (* (cbrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2)))))) (* (cos (/ K 2)) (* -2 J))) (* (sqrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2)))))) (* (cos (/ K 2)) (* -2 J))) (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J))) (real->posit16 (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J)))) (expm1 (/ U (* (* 2 J) (cos (/ K 2))))) (log1p (/ U (* (* 2 J) (cos (/ K 2))))) (- (log U) (+ (+ (log 2) (log J)) (log (cos (/ K 2))))) (- (log U) (+ (log (* 2 J)) (log (cos (/ K 2))))) (- (log U) (log (* (* 2 J) (cos (/ K 2))))) (log (/ U (* (* 2 J) (cos (/ K 2))))) (exp (/ U (* (* 2 J) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* (* 2 2) 2) (* (* J J) J)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* (* 2 J) (* 2 J)) (* 2 J)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2)))) (* (* 2 J) (cos (/ K 2))))) (* (cbrt (/ U (* (* 2 J) (cos (/ K 2))))) (cbrt (/ U (* (* 2 J) (cos (/ K 2)))))) (cbrt (/ U (* (* 2 J) (cos (/ K 2))))) (* (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) (/ U (* (* 2 J) (cos (/ K 2))))) (sqrt (/ U (* (* 2 J) (cos (/ K 2))))) (sqrt (/ U (* (* 2 J) (cos (/ K 2))))) (- U) (- (* (* 2 J) (cos (/ K 2)))) (/ (* (cbrt U) (cbrt U)) (* 2 J)) (/ (cbrt U) (cos (/ K 2))) (/ (sqrt U) (* 2 J)) (/ (sqrt U) (cos (/ K 2))) (/ 1 (* 2 J)) (/ U (cos (/ K 2))) (/ 1 (* (* 2 J) (cos (/ K 2)))) (/ (* (* 2 J) (cos (/ K 2))) U) (/ U (* 2 J)) (/ (* (* 2 J) (cos (/ K 2))) (cbrt U)) (/ (* (* 2 J) (cos (/ K 2))) (sqrt U)) (/ (* (* 2 J) (cos (/ K 2))) U) (real->posit16 (/ U (* (* 2 J) (cos (/ K 2))))) (expm1 (* (* 2 J) (cos (/ K 2)))) (log1p (* (* 2 J) (cos (/ K 2)))) (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2))) (+ (+ (log 2) (log J)) (log (cos (/ K 2)))) (+ (log (* 2 J)) (log (cos (/ K 2)))) (log (* (* 2 J) (cos (/ K 2)))) (exp (* (* 2 J) (cos (/ K 2)))) (* (* (* (* 2 2) 2) (* (* J J) J)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* (* (* 2 J) (* 2 J)) (* 2 J)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (cbrt (* (* 2 J) (cos (/ K 2)))) (cbrt (* (* 2 J) (cos (/ K 2))))) (cbrt (* (* 2 J) (cos (/ K 2)))) (* (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2)))) (* (* 2 J) (cos (/ K 2)))) (sqrt (* (* 2 J) (cos (/ K 2)))) (sqrt (* (* 2 J) (cos (/ K 2)))) (* (* 2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* 2 J) (sqrt (cos (/ K 2)))) (* (* 2 J) 1) (* J (cos (/ K 2))) (real->posit16 (* (* 2 J) (cos (/ K 2)))) (expm1 (* (cos (/ K 2)) (* -2 J))) (log1p (* (cos (/ K 2)) (* -2 J))) (* (cos (/ K 2)) (* -2 J)) (* (cos (/ K 2)) (* -2 J)) (+ (log (cos (/ K 2))) (+ (log -2) (log J))) (+ (log (cos (/ K 2))) (log (* -2 J))) (log (* (cos (/ K 2)) (* -2 J))) (exp (* (cos (/ K 2)) (* -2 J))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* -2 -2) -2) (* (* J J) J))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* -2 J) (* -2 J)) (* -2 J))) (* (cbrt (* (cos (/ K 2)) (* -2 J))) (cbrt (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (cos (/ K 2)) (* -2 J))) (* (* (* (cos (/ K 2)) (* -2 J)) (* (cos (/ K 2)) (* -2 J))) (* (cos (/ K 2)) (* -2 J))) (sqrt (* (cos (/ K 2)) (* -2 J))) (sqrt (* (cos (/ K 2)) (* -2 J))) (* (cos (/ K 2)) -2) (* (cbrt (cos (/ K 2))) (* -2 J)) (* (sqrt (cos (/ K 2))) (* -2 J)) (* (cos (/ K 2)) (* -2 J)) (real->posit16 (* (cos (/ K 2)) (* -2 J))) (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) (* -1 U) (* -1 U) (+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 2 J) (* 2 (* (cos (* 1/2 K)) J)) (* 2 (* (cos (* 1/2 K)) J)) (- (* 1/4 (* (pow K 2) J)) (* 2 J)) (* -2 (* (cos (* 1/2 K)) J)) (* -2 (* (cos (* 1/2 K)) J)) 1.733 * * [simplify]: iteration 0: 161 enodes 1.802 * * [simplify]: iteration 1: 416 enodes 2.057 * * [simplify]: iteration 2: 1560 enodes 2.421 * * [simplify]: iteration 3: 2057 enodes 2.779 * * [simplify]: iteration complete: 2057 enodes 2.779 * * [simplify]: Extracting #0: cost 72 inf + 0 2.780 * * [simplify]: Extracting #1: cost 484 inf + 0 2.782 * * [simplify]: Extracting #2: cost 712 inf + 4327 2.787 * * [simplify]: Extracting #3: cost 637 inf + 23091 2.796 * * [simplify]: Extracting #4: cost 421 inf + 52372 2.815 * * [simplify]: Extracting #5: cost 159 inf + 130112 2.849 * * [simplify]: Extracting #6: cost 9 inf + 184312 2.902 * * [simplify]: Extracting #7: cost 0 inf + 188013 2.959 * [simplify]: Simplified to: (expm1 (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* J -2) (cos (/ K 2))))) (log1p (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* J -2) (cos (/ K 2))))) (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* J -2) (cos (/ K 2)))) (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* J -2) (cos (/ K 2)))) (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* J -2) (cos (/ K 2)))) (log (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* J -2) (cos (/ K 2))))) (log (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* J -2) (cos (/ K 2))))) (log (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* J -2) (cos (/ K 2))))) (log (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* J -2) (cos (/ K 2))))) (exp (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* J -2) (cos (/ K 2))))) (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (cos (/ K 2)) (* (cos (/ K 2)) (cos (/ K 2))))) (* -8 (* J (* J J)))))) (* (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* J -2) (cos (/ K 2)))) (* (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* J -2) (cos (/ K 2)))) (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* J -2) (cos (/ K 2)))))) (* (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* J -2) (cos (/ K 2)))) (* (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* J -2) (cos (/ K 2)))) (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* J -2) (cos (/ K 2)))))) (* (cbrt (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* J -2) (cos (/ K 2))))) (cbrt (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* J -2) (cos (/ K 2)))))) (cbrt (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* J -2) (cos (/ K 2))))) (* (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* J -2) (cos (/ K 2)))) (* (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* J -2) (cos (/ K 2)))) (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* J -2) (cos (/ K 2)))))) (sqrt (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* J -2) (cos (/ K 2))))) (sqrt (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* J -2) (cos (/ K 2))))) (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (* (* (cos (/ K 2)) (cbrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) J) -2) (* (* (* J -2) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* J -2) (cos (/ K 2)))) (real->posit16 (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* J -2) (cos (/ K 2))))) (expm1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (log1p (/ (/ (/ U 2) J) (cos (/ K 2)))) (log (/ (/ (/ U 2) J) (cos (/ K 2)))) (log (/ (/ (/ U 2) J) (cos (/ K 2)))) (log (/ (/ (/ U 2) J) (cos (/ K 2)))) (log (/ (/ (/ U 2) J) (cos (/ K 2)))) (exp (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ U 8) (/ (* U U) (* (* (* J (* J J)) (cos (/ K 2))) (* (cos (/ K 2)) (cos (/ K 2)))))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (cbrt (/ (/ (/ U 2) J) (cos (/ K 2)))) (cbrt (/ (/ (/ U 2) J) (cos (/ K 2))))) (cbrt (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (sqrt (/ (/ (/ U 2) J) (cos (/ K 2)))) (sqrt (/ (/ (/ U 2) J) (cos (/ K 2)))) (- U) (* (* -2 J) (cos (/ K 2))) (* (/ (cbrt U) J) (/ (cbrt U) 2)) (/ (cbrt U) (cos (/ K 2))) (/ (sqrt U) (* J 2)) (/ (sqrt U) (cos (/ K 2))) (/ 1/2 J) (/ U (cos (/ K 2))) (/ (/ 1/2 J) (cos (/ K 2))) (/ (* J 2) (/ U (cos (/ K 2)))) (/ U (* J 2)) (/ (* (* J 2) (cos (/ K 2))) (cbrt U)) (* (/ (* J 2) (sqrt U)) (cos (/ K 2))) (/ (* J 2) (/ U (cos (/ K 2)))) (real->posit16 (/ (/ (/ U 2) J) (cos (/ K 2)))) (expm1 (* (* J 2) (cos (/ K 2)))) (log1p (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2))) (log (* (* J 2) (cos (/ K 2)))) (log (* (* J 2) (cos (/ K 2)))) (log (* (* J 2) (cos (/ K 2)))) (exp (* (* J 2) (cos (/ K 2)))) (* (* 8 (* J (* J J))) (* (cos (/ K 2)) (* (cos (/ K 2)) (cos (/ K 2))))) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2)))) (* (cbrt (* (* J 2) (cos (/ K 2)))) (cbrt (* (* J 2) (cos (/ K 2))))) (cbrt (* (* J 2) (cos (/ K 2)))) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2)))) (sqrt (* (* J 2) (cos (/ K 2)))) (sqrt (* (* J 2) (cos (/ K 2)))) (* (* (* J 2) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* (* 2 J) (sqrt (cos (/ K 2)))) (* J 2) (* J (cos (/ K 2))) (real->posit16 (* (* J 2) (cos (/ K 2)))) (expm1 (* (* J -2) (cos (/ K 2)))) (log1p (* (* J -2) (cos (/ K 2)))) (* (* J -2) (cos (/ K 2))) (* (* J -2) (cos (/ K 2))) (log (* (* J -2) (cos (/ K 2)))) (log (* (* J -2) (cos (/ K 2)))) (log (* (* J -2) (cos (/ K 2)))) (exp (* (* J -2) (cos (/ K 2)))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (* (cos (/ K 2)) -8)) (* J (* J J))) (* (* (* J -2) (cos (/ K 2))) (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2))))) (* (cbrt (* (* J -2) (cos (/ K 2)))) (cbrt (* (* J -2) (cos (/ K 2))))) (cbrt (* (* J -2) (cos (/ K 2)))) (* (* (* J -2) (cos (/ K 2))) (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2))))) (sqrt (* (* J -2) (cos (/ K 2)))) (sqrt (* (* J -2) (cos (/ K 2)))) (* -2 (cos (/ K 2))) (* (* (cbrt (cos (/ K 2))) -2) J) (* (* J -2) (sqrt (cos (/ K 2)))) (* (* J -2) (cos (/ K 2))) (real->posit16 (* (* J -2) (cos (/ K 2)))) (fma -2 J (* -1/4 (/ (* U U) J))) (- U) (- U) (fma 1/16 (/ (* K K) (/ J U)) (/ (* 1/2 U) J)) (* (/ 1/2 (cos (* K 1/2))) (/ U J)) (* (/ 1/2 (cos (* K 1/2))) (/ U J)) (* J 2) (* (cos (* K 1/2)) (* J 2)) (* (cos (* K 1/2)) (* J 2)) (fma 1/4 (* J (* K K)) (* -2 J)) (* (* -2 (cos (* K 1/2))) J) (* (* -2 (cos (* K 1/2))) J) 2.967 * * * [progress]: adding candidates to table 3.491 * * [progress]: iteration 2 / 4 3.491 * * * [progress]: picking best candidate 3.533 * * * * [pick]: Picked # 3.533 * * * [progress]: localizing error 3.576 * * * [progress]: generating rewritten candidates 3.576 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 3.624 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 3.650 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 2) 3.678 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 3.693 * * * [progress]: generating series expansions 3.693 * * * * [progress]: [ 1 / 4 ] generating series at (2) 3.694 * [backup-simplify]: Simplify (* (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (cos (/ K 2))) (* -2 J)) into (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) 3.694 * [approximate]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in (U J K) around 0 3.694 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in K 3.694 * [taylor]: Taking taylor expansion of -2 in K 3.694 * [backup-simplify]: Simplify -2 into -2 3.694 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in K 3.694 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 3.694 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 3.694 * [taylor]: Taking taylor expansion of 1/2 in K 3.694 * [backup-simplify]: Simplify 1/2 into 1/2 3.694 * [taylor]: Taking taylor expansion of K in K 3.694 * [backup-simplify]: Simplify 0 into 0 3.694 * [backup-simplify]: Simplify 1 into 1 3.695 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.695 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.695 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in K 3.695 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 3.696 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 3.696 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in K 3.696 * [taylor]: Taking taylor expansion of (* 1 1) in K 3.696 * [taylor]: Taking taylor expansion of 1 in K 3.696 * [backup-simplify]: Simplify 1 into 1 3.696 * [taylor]: Taking taylor expansion of 1 in K 3.696 * [backup-simplify]: Simplify 1 into 1 3.696 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 3.696 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 3.696 * [taylor]: Taking taylor expansion of 1/2 in K 3.696 * [backup-simplify]: Simplify 1/2 into 1/2 3.696 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 3.696 * [taylor]: Taking taylor expansion of U in K 3.696 * [backup-simplify]: Simplify U into U 3.696 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 3.696 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 3.696 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 3.696 * [taylor]: Taking taylor expansion of 1/2 in K 3.696 * [backup-simplify]: Simplify 1/2 into 1/2 3.696 * [taylor]: Taking taylor expansion of K in K 3.696 * [backup-simplify]: Simplify 0 into 0 3.696 * [backup-simplify]: Simplify 1 into 1 3.697 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.697 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.697 * [taylor]: Taking taylor expansion of J in K 3.697 * [backup-simplify]: Simplify J into J 3.697 * [backup-simplify]: Simplify (* 1 J) into J 3.697 * [backup-simplify]: Simplify (/ U J) into (/ U J) 3.697 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 3.697 * [taylor]: Taking taylor expansion of 1/2 in K 3.697 * [backup-simplify]: Simplify 1/2 into 1/2 3.697 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 3.697 * [taylor]: Taking taylor expansion of U in K 3.698 * [backup-simplify]: Simplify U into U 3.698 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 3.698 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 3.698 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 3.698 * [taylor]: Taking taylor expansion of 1/2 in K 3.698 * [backup-simplify]: Simplify 1/2 into 1/2 3.698 * [taylor]: Taking taylor expansion of K in K 3.698 * [backup-simplify]: Simplify 0 into 0 3.698 * [backup-simplify]: Simplify 1 into 1 3.698 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.699 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.699 * [taylor]: Taking taylor expansion of J in K 3.699 * [backup-simplify]: Simplify J into J 3.699 * [backup-simplify]: Simplify (* 1 J) into J 3.699 * [backup-simplify]: Simplify (/ U J) into (/ U J) 3.699 * [backup-simplify]: Simplify (* 1 1) into 1 3.699 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 3.700 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 3.700 * [backup-simplify]: Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2))) 3.700 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 3.700 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 3.701 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.701 * [backup-simplify]: Simplify (+ 0) into 0 3.702 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 3.702 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 3.702 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 3.703 * [backup-simplify]: Simplify (+ 0) into 0 3.703 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 3.703 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 3.704 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 3.704 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))) into 0 3.704 * [backup-simplify]: Simplify (+ 0 0) into 0 3.704 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 3.704 * [taylor]: Taking taylor expansion of J in K 3.704 * [backup-simplify]: Simplify J into J 3.704 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in J 3.705 * [taylor]: Taking taylor expansion of -2 in J 3.705 * [backup-simplify]: Simplify -2 into -2 3.705 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in J 3.705 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 3.705 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 3.705 * [taylor]: Taking taylor expansion of 1/2 in J 3.705 * [backup-simplify]: Simplify 1/2 into 1/2 3.705 * [taylor]: Taking taylor expansion of K in J 3.705 * [backup-simplify]: Simplify K into K 3.705 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 3.705 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 3.705 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 3.705 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in J 3.705 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 3.705 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 3.705 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in J 3.705 * [taylor]: Taking taylor expansion of (* 1 1) in J 3.705 * [taylor]: Taking taylor expansion of 1 in J 3.705 * [backup-simplify]: Simplify 1 into 1 3.705 * [taylor]: Taking taylor expansion of 1 in J 3.705 * [backup-simplify]: Simplify 1 into 1 3.705 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 3.705 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 3.705 * [taylor]: Taking taylor expansion of 1/2 in J 3.705 * [backup-simplify]: Simplify 1/2 into 1/2 3.705 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 3.705 * [taylor]: Taking taylor expansion of U in J 3.705 * [backup-simplify]: Simplify U into U 3.705 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 3.705 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 3.705 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 3.705 * [taylor]: Taking taylor expansion of 1/2 in J 3.705 * [backup-simplify]: Simplify 1/2 into 1/2 3.705 * [taylor]: Taking taylor expansion of K in J 3.706 * [backup-simplify]: Simplify K into K 3.706 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 3.706 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 3.706 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 3.706 * [taylor]: Taking taylor expansion of J in J 3.706 * [backup-simplify]: Simplify 0 into 0 3.706 * [backup-simplify]: Simplify 1 into 1 3.706 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 3.706 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 3.706 * [backup-simplify]: Simplify (- 0) into 0 3.706 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 3.706 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 3.707 * [backup-simplify]: Simplify (+ 0) into 0 3.707 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 3.708 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 3.708 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.709 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 3.709 * [backup-simplify]: Simplify (- 0) into 0 3.709 * [backup-simplify]: Simplify (+ 0 0) into 0 3.710 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 3.710 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 3.710 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 3.710 * [taylor]: Taking taylor expansion of 1/2 in J 3.710 * [backup-simplify]: Simplify 1/2 into 1/2 3.710 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 3.710 * [taylor]: Taking taylor expansion of U in J 3.710 * [backup-simplify]: Simplify U into U 3.710 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 3.710 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 3.710 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 3.710 * [taylor]: Taking taylor expansion of 1/2 in J 3.710 * [backup-simplify]: Simplify 1/2 into 1/2 3.710 * [taylor]: Taking taylor expansion of K in J 3.710 * [backup-simplify]: Simplify K into K 3.710 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 3.710 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 3.710 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 3.711 * [taylor]: Taking taylor expansion of J in J 3.711 * [backup-simplify]: Simplify 0 into 0 3.711 * [backup-simplify]: Simplify 1 into 1 3.711 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 3.711 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 3.711 * [backup-simplify]: Simplify (- 0) into 0 3.711 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 3.711 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 3.712 * [backup-simplify]: Simplify (+ 0) into 0 3.712 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 3.713 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 3.713 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.714 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 3.714 * [backup-simplify]: Simplify (- 0) into 0 3.714 * [backup-simplify]: Simplify (+ 0 0) into 0 3.715 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 3.715 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 3.715 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 3.715 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 3.715 * [backup-simplify]: Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 3.715 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 3.716 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 3.716 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.717 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.718 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 3.719 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.719 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.719 * [backup-simplify]: Simplify (- 0) into 0 3.720 * [backup-simplify]: Simplify (+ 0 0) into 0 3.720 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 3.721 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 3.721 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 3.722 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.723 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.723 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 3.724 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.724 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.725 * [backup-simplify]: Simplify (- 0) into 0 3.725 * [backup-simplify]: Simplify (+ 0 0) into 0 3.726 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 3.726 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 3.727 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 3.727 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0 3.727 * [backup-simplify]: Simplify (+ 0 0) into 0 3.727 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 3.727 * [taylor]: Taking taylor expansion of J in J 3.728 * [backup-simplify]: Simplify 0 into 0 3.728 * [backup-simplify]: Simplify 1 into 1 3.728 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in U 3.728 * [taylor]: Taking taylor expansion of -2 in U 3.728 * [backup-simplify]: Simplify -2 into -2 3.728 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in U 3.728 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 3.728 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 3.728 * [taylor]: Taking taylor expansion of 1/2 in U 3.728 * [backup-simplify]: Simplify 1/2 into 1/2 3.728 * [taylor]: Taking taylor expansion of K in U 3.728 * [backup-simplify]: Simplify K into K 3.728 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 3.728 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 3.728 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 3.728 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in U 3.728 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 3.728 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 3.728 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 3.728 * [taylor]: Taking taylor expansion of (* 1 1) in U 3.728 * [taylor]: Taking taylor expansion of 1 in U 3.728 * [backup-simplify]: Simplify 1 into 1 3.728 * [taylor]: Taking taylor expansion of 1 in U 3.728 * [backup-simplify]: Simplify 1 into 1 3.728 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 3.728 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 3.728 * [taylor]: Taking taylor expansion of 1/2 in U 3.728 * [backup-simplify]: Simplify 1/2 into 1/2 3.728 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 3.728 * [taylor]: Taking taylor expansion of U in U 3.728 * [backup-simplify]: Simplify 0 into 0 3.728 * [backup-simplify]: Simplify 1 into 1 3.728 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 3.728 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 3.728 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 3.728 * [taylor]: Taking taylor expansion of 1/2 in U 3.728 * [backup-simplify]: Simplify 1/2 into 1/2 3.728 * [taylor]: Taking taylor expansion of K in U 3.728 * [backup-simplify]: Simplify K into K 3.729 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 3.729 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 3.729 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 3.729 * [taylor]: Taking taylor expansion of J in U 3.729 * [backup-simplify]: Simplify J into J 3.729 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 3.729 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 3.729 * [backup-simplify]: Simplify (- 0) into 0 3.729 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 3.729 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 3.729 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 3.729 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 3.729 * [taylor]: Taking taylor expansion of 1/2 in U 3.729 * [backup-simplify]: Simplify 1/2 into 1/2 3.729 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 3.729 * [taylor]: Taking taylor expansion of U in U 3.729 * [backup-simplify]: Simplify 0 into 0 3.729 * [backup-simplify]: Simplify 1 into 1 3.729 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 3.729 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 3.729 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 3.729 * [taylor]: Taking taylor expansion of 1/2 in U 3.729 * [backup-simplify]: Simplify 1/2 into 1/2 3.729 * [taylor]: Taking taylor expansion of K in U 3.729 * [backup-simplify]: Simplify K into K 3.729 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 3.729 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 3.730 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 3.730 * [taylor]: Taking taylor expansion of J in U 3.730 * [backup-simplify]: Simplify J into J 3.730 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 3.730 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 3.730 * [backup-simplify]: Simplify (- 0) into 0 3.730 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 3.730 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 3.730 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 3.730 * [backup-simplify]: Simplify (* 1 1) into 1 3.731 * [backup-simplify]: Simplify (+ 1 0) into 1 3.731 * [backup-simplify]: Simplify (sqrt 1) into 1 3.731 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.732 * [backup-simplify]: Simplify (+ 0 0) into 0 3.735 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.735 * [taylor]: Taking taylor expansion of J in U 3.735 * [backup-simplify]: Simplify J into J 3.735 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in U 3.735 * [taylor]: Taking taylor expansion of -2 in U 3.735 * [backup-simplify]: Simplify -2 into -2 3.735 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in U 3.735 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 3.735 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 3.735 * [taylor]: Taking taylor expansion of 1/2 in U 3.735 * [backup-simplify]: Simplify 1/2 into 1/2 3.735 * [taylor]: Taking taylor expansion of K in U 3.735 * [backup-simplify]: Simplify K into K 3.735 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 3.735 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 3.735 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 3.735 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in U 3.735 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 3.736 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 3.736 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 3.736 * [taylor]: Taking taylor expansion of (* 1 1) in U 3.736 * [taylor]: Taking taylor expansion of 1 in U 3.736 * [backup-simplify]: Simplify 1 into 1 3.736 * [taylor]: Taking taylor expansion of 1 in U 3.736 * [backup-simplify]: Simplify 1 into 1 3.736 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 3.736 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 3.736 * [taylor]: Taking taylor expansion of 1/2 in U 3.736 * [backup-simplify]: Simplify 1/2 into 1/2 3.736 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 3.736 * [taylor]: Taking taylor expansion of U in U 3.736 * [backup-simplify]: Simplify 0 into 0 3.736 * [backup-simplify]: Simplify 1 into 1 3.736 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 3.736 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 3.736 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 3.736 * [taylor]: Taking taylor expansion of 1/2 in U 3.736 * [backup-simplify]: Simplify 1/2 into 1/2 3.736 * [taylor]: Taking taylor expansion of K in U 3.736 * [backup-simplify]: Simplify K into K 3.736 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 3.736 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 3.736 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 3.736 * [taylor]: Taking taylor expansion of J in U 3.736 * [backup-simplify]: Simplify J into J 3.736 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 3.737 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 3.737 * [backup-simplify]: Simplify (- 0) into 0 3.737 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 3.737 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 3.737 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 3.737 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 3.737 * [taylor]: Taking taylor expansion of 1/2 in U 3.738 * [backup-simplify]: Simplify 1/2 into 1/2 3.738 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 3.738 * [taylor]: Taking taylor expansion of U in U 3.738 * [backup-simplify]: Simplify 0 into 0 3.738 * [backup-simplify]: Simplify 1 into 1 3.738 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 3.738 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 3.738 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 3.738 * [taylor]: Taking taylor expansion of 1/2 in U 3.738 * [backup-simplify]: Simplify 1/2 into 1/2 3.738 * [taylor]: Taking taylor expansion of K in U 3.738 * [backup-simplify]: Simplify K into K 3.738 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 3.738 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 3.738 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 3.738 * [taylor]: Taking taylor expansion of J in U 3.738 * [backup-simplify]: Simplify J into J 3.738 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 3.738 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 3.739 * [backup-simplify]: Simplify (- 0) into 0 3.739 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 3.739 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 3.739 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 3.739 * [backup-simplify]: Simplify (* 1 1) into 1 3.740 * [backup-simplify]: Simplify (+ 1 0) into 1 3.740 * [backup-simplify]: Simplify (sqrt 1) into 1 3.741 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.741 * [backup-simplify]: Simplify (+ 0 0) into 0 3.742 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.742 * [taylor]: Taking taylor expansion of J in U 3.742 * [backup-simplify]: Simplify J into J 3.742 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 3.742 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 3.743 * [backup-simplify]: Simplify (- 0) into 0 3.743 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 3.743 * [backup-simplify]: Simplify (* 1 J) into J 3.743 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 3.743 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J)) 3.743 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J 3.743 * [taylor]: Taking taylor expansion of -2 in J 3.743 * [backup-simplify]: Simplify -2 into -2 3.743 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 3.743 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 3.743 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 3.743 * [taylor]: Taking taylor expansion of 1/2 in J 3.743 * [backup-simplify]: Simplify 1/2 into 1/2 3.743 * [taylor]: Taking taylor expansion of K in J 3.743 * [backup-simplify]: Simplify K into K 3.743 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 3.743 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 3.743 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 3.744 * [taylor]: Taking taylor expansion of J in J 3.744 * [backup-simplify]: Simplify 0 into 0 3.744 * [backup-simplify]: Simplify 1 into 1 3.744 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 3.745 * [backup-simplify]: Simplify (+ 0) into 0 3.745 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 3.746 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 3.747 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.747 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 3.747 * [backup-simplify]: Simplify (- 0) into 0 3.748 * [backup-simplify]: Simplify (+ 0 0) into 0 3.748 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 3.748 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0 3.748 * [taylor]: Taking taylor expansion of 0 in J 3.748 * [backup-simplify]: Simplify 0 into 0 3.749 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 3.749 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 3.749 * [backup-simplify]: Simplify (- 0) into 0 3.749 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 3.749 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 3.750 * [backup-simplify]: Simplify (* -2 0) into 0 3.750 * [taylor]: Taking taylor expansion of 0 in K 3.750 * [backup-simplify]: Simplify 0 into 0 3.750 * [backup-simplify]: Simplify 0 into 0 3.751 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.751 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 3.751 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 3.751 * [backup-simplify]: Simplify (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 1/2 (* (cos (* 1/2 K)) J))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 3.752 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 3.753 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 3.754 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) J))) into (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J))) 3.755 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.756 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.756 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 3.757 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.758 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 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 (+ (* (cos (* 1/2 K)) (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J)))) (+ (* 0 0) (* 0 J))) into (* 1/8 (/ 1 (* (cos (* 1/2 K)) J))) 3.760 * [backup-simplify]: Simplify (+ (* -2 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J)))) into (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) 3.760 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in J 3.760 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in J 3.760 * [taylor]: Taking taylor expansion of 1/4 in J 3.760 * [backup-simplify]: Simplify 1/4 into 1/4 3.760 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in J 3.760 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 3.760 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 3.760 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 3.760 * [taylor]: Taking taylor expansion of 1/2 in J 3.760 * [backup-simplify]: Simplify 1/2 into 1/2 3.760 * [taylor]: Taking taylor expansion of K in J 3.760 * [backup-simplify]: Simplify K into K 3.760 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 3.760 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 3.760 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 3.760 * [taylor]: Taking taylor expansion of J in J 3.760 * [backup-simplify]: Simplify 0 into 0 3.760 * [backup-simplify]: Simplify 1 into 1 3.760 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 3.760 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 3.761 * [backup-simplify]: Simplify (- 0) into 0 3.761 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 3.761 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 3.761 * [backup-simplify]: Simplify (+ 0) into 0 3.762 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 3.762 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 3.763 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.763 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 3.764 * [backup-simplify]: Simplify (- 0) into 0 3.764 * [backup-simplify]: Simplify (+ 0 0) into 0 3.764 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 3.765 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 K))) into (/ 1 (cos (* 1/2 K))) 3.765 * [backup-simplify]: Simplify (* 1/4 (/ 1 (cos (* 1/2 K)))) into (/ 1/4 (cos (* 1/2 K))) 3.765 * [backup-simplify]: Simplify (- (/ 1/4 (cos (* 1/2 K)))) into (- (* 1/4 (/ 1 (cos (* 1/2 K))))) 3.765 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (cos (* 1/2 K))))) in K 3.765 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (cos (* 1/2 K)))) in K 3.765 * [taylor]: Taking taylor expansion of 1/4 in K 3.765 * [backup-simplify]: Simplify 1/4 into 1/4 3.765 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 1/2 K))) in K 3.765 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 3.765 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 3.765 * [taylor]: Taking taylor expansion of 1/2 in K 3.765 * [backup-simplify]: Simplify 1/2 into 1/2 3.765 * [taylor]: Taking taylor expansion of K in K 3.765 * [backup-simplify]: Simplify 0 into 0 3.765 * [backup-simplify]: Simplify 1 into 1 3.766 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.766 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.767 * [backup-simplify]: Simplify (/ 1 1) into 1 3.767 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 3.767 * [backup-simplify]: Simplify (- 1/4) into -1/4 3.767 * [backup-simplify]: Simplify -1/4 into -1/4 3.767 * [taylor]: Taking taylor expansion of 0 in K 3.768 * [backup-simplify]: Simplify 0 into 0 3.768 * [backup-simplify]: Simplify 0 into 0 3.768 * [backup-simplify]: Simplify (+ 0) into 0 3.768 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 3.769 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 3.770 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.770 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 3.770 * [backup-simplify]: Simplify (- 0) into 0 3.771 * [backup-simplify]: Simplify (+ 0 0) into 0 3.771 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 3.772 * [backup-simplify]: Simplify (+ (* -2 (cos (* 1/2 K))) (* 0 0)) into (- (* 2 (cos (* 1/2 K)))) 3.772 * [taylor]: Taking taylor expansion of (- (* 2 (cos (* 1/2 K)))) in K 3.772 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K 3.772 * [taylor]: Taking taylor expansion of 2 in K 3.772 * [backup-simplify]: Simplify 2 into 2 3.772 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 3.772 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 3.772 * [taylor]: Taking taylor expansion of 1/2 in K 3.772 * [backup-simplify]: Simplify 1/2 into 1/2 3.772 * [taylor]: Taking taylor expansion of K in K 3.772 * [backup-simplify]: Simplify 0 into 0 3.772 * [backup-simplify]: Simplify 1 into 1 3.772 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.773 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.773 * [backup-simplify]: Simplify (* 2 1) into 2 3.774 * [backup-simplify]: Simplify (- 2) into -2 3.774 * [backup-simplify]: Simplify -2 into -2 3.774 * [backup-simplify]: Simplify 0 into 0 3.775 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.775 * [backup-simplify]: Simplify (+ 0) into 0 3.776 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 3.776 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 3.777 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.777 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 3.778 * [backup-simplify]: Simplify (- 0) into 0 3.778 * [backup-simplify]: Simplify (+ 0 0) into 0 3.778 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 3.779 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 3.779 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 3.779 * [backup-simplify]: Simplify (+ 0) into 0 3.780 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 3.780 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 3.781 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.782 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 3.782 * [backup-simplify]: Simplify (- 0) into 0 3.782 * [backup-simplify]: Simplify (+ 0 0) into 0 3.782 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 3.783 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 3.783 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 3.783 * [backup-simplify]: Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J)))) into 0 3.784 * [backup-simplify]: Simplify (+ 0 0) into 0 3.785 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 3.785 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) (* 0 J)))) into 0 3.786 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.787 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.788 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 3.790 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 3.790 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 3.791 * [backup-simplify]: Simplify (- 0) into 0 3.791 * [backup-simplify]: Simplify (+ 0 0) into 0 3.792 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J)))) (+ (* 0 0) (* 0 J)))) into 0 3.793 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0 3.793 * [taylor]: Taking taylor expansion of 0 in J 3.793 * [backup-simplify]: Simplify 0 into 0 3.794 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.794 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.795 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 3.796 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.796 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.797 * [backup-simplify]: Simplify (- 0) into 0 3.797 * [backup-simplify]: Simplify (+ 0 0) into 0 3.798 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 3.798 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 3.798 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (* 1/2 K))))) into 0 3.799 * [backup-simplify]: Simplify (- 0) into 0 3.799 * [taylor]: Taking taylor expansion of 0 in K 3.799 * [backup-simplify]: Simplify 0 into 0 3.799 * [backup-simplify]: Simplify 0 into 0 3.799 * [taylor]: Taking taylor expansion of 0 in K 3.799 * [backup-simplify]: Simplify 0 into 0 3.799 * [backup-simplify]: Simplify 0 into 0 3.800 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.800 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.801 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 3.801 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.802 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.802 * [backup-simplify]: Simplify (- 0) into 0 3.802 * [backup-simplify]: Simplify (+ 0 0) into 0 3.803 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 3.803 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0 3.803 * [taylor]: Taking taylor expansion of 0 in K 3.803 * [backup-simplify]: Simplify 0 into 0 3.803 * [backup-simplify]: Simplify 0 into 0 3.804 * [backup-simplify]: Simplify (+ 0) into 0 3.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.805 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 3.805 * [backup-simplify]: Simplify (- 0) into 0 3.805 * [backup-simplify]: Simplify 0 into 0 3.805 * [backup-simplify]: Simplify 0 into 0 3.805 * [backup-simplify]: Simplify (+ (* -2 (* 1 (* J 1))) (* -1/4 (* 1 (* (/ 1 J) (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 3.805 * [backup-simplify]: Simplify (* (* (hypot 1 (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) (cos (/ (/ 1 K) 2))) (* -2 (/ 1 J))) into (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) 3.805 * [approximate]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in (U J K) around 0 3.805 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in K 3.805 * [taylor]: Taking taylor expansion of -2 in K 3.805 * [backup-simplify]: Simplify -2 into -2 3.805 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in K 3.805 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in K 3.805 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 3.806 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 3.806 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in K 3.806 * [taylor]: Taking taylor expansion of (* 1 1) in K 3.806 * [taylor]: Taking taylor expansion of 1 in K 3.806 * [backup-simplify]: Simplify 1 into 1 3.806 * [taylor]: Taking taylor expansion of 1 in K 3.806 * [backup-simplify]: Simplify 1 into 1 3.806 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 3.806 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 3.806 * [taylor]: Taking taylor expansion of 1/2 in K 3.806 * [backup-simplify]: Simplify 1/2 into 1/2 3.806 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 3.806 * [taylor]: Taking taylor expansion of J in K 3.806 * [backup-simplify]: Simplify J into J 3.806 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 3.806 * [taylor]: Taking taylor expansion of U in K 3.806 * [backup-simplify]: Simplify U into U 3.806 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 3.806 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 3.806 * [taylor]: Taking taylor expansion of 1/2 in K 3.806 * [backup-simplify]: Simplify 1/2 into 1/2 3.806 * [taylor]: Taking taylor expansion of K in K 3.806 * [backup-simplify]: Simplify 0 into 0 3.806 * [backup-simplify]: Simplify 1 into 1 3.806 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.806 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.806 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 3.806 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 3.806 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 3.806 * [taylor]: Taking taylor expansion of 1/2 in K 3.806 * [backup-simplify]: Simplify 1/2 into 1/2 3.806 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 3.806 * [taylor]: Taking taylor expansion of J in K 3.806 * [backup-simplify]: Simplify J into J 3.806 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 3.806 * [taylor]: Taking taylor expansion of U in K 3.806 * [backup-simplify]: Simplify U into U 3.806 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 3.806 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 3.807 * [taylor]: Taking taylor expansion of 1/2 in K 3.807 * [backup-simplify]: Simplify 1/2 into 1/2 3.807 * [taylor]: Taking taylor expansion of K in K 3.807 * [backup-simplify]: Simplify 0 into 0 3.807 * [backup-simplify]: Simplify 1 into 1 3.807 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.807 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.807 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 3.807 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 3.807 * [backup-simplify]: Simplify (* 1 1) into 1 3.807 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 3.807 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 3.808 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 3.808 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 3.808 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 3.808 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.809 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 3.809 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 3.809 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 3.809 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 3.809 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 3.810 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 3.810 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into 0 3.810 * [backup-simplify]: Simplify (+ 0 0) into 0 3.810 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 3.811 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 3.811 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 3.811 * [taylor]: Taking taylor expansion of 1/2 in K 3.811 * [backup-simplify]: Simplify 1/2 into 1/2 3.811 * [taylor]: Taking taylor expansion of K in K 3.811 * [backup-simplify]: Simplify 0 into 0 3.811 * [backup-simplify]: Simplify 1 into 1 3.811 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.811 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.811 * [taylor]: Taking taylor expansion of J in K 3.811 * [backup-simplify]: Simplify J into J 3.811 * [backup-simplify]: Simplify (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) into (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) 3.812 * [backup-simplify]: Simplify (/ (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) J) into (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) 3.812 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in J 3.812 * [taylor]: Taking taylor expansion of -2 in J 3.812 * [backup-simplify]: Simplify -2 into -2 3.812 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in J 3.812 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in J 3.812 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 3.812 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 3.812 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in J 3.812 * [taylor]: Taking taylor expansion of (* 1 1) in J 3.812 * [taylor]: Taking taylor expansion of 1 in J 3.812 * [backup-simplify]: Simplify 1 into 1 3.812 * [taylor]: Taking taylor expansion of 1 in J 3.812 * [backup-simplify]: Simplify 1 into 1 3.812 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 3.812 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 3.812 * [taylor]: Taking taylor expansion of 1/2 in J 3.812 * [backup-simplify]: Simplify 1/2 into 1/2 3.812 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 3.812 * [taylor]: Taking taylor expansion of J in J 3.812 * [backup-simplify]: Simplify 0 into 0 3.812 * [backup-simplify]: Simplify 1 into 1 3.812 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 3.812 * [taylor]: Taking taylor expansion of U in J 3.812 * [backup-simplify]: Simplify U into U 3.812 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 3.812 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 3.812 * [taylor]: Taking taylor expansion of 1/2 in J 3.812 * [backup-simplify]: Simplify 1/2 into 1/2 3.812 * [taylor]: Taking taylor expansion of K in J 3.812 * [backup-simplify]: Simplify K into K 3.812 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.812 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.812 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.812 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.812 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.813 * [backup-simplify]: Simplify (- 0) into 0 3.813 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.813 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 3.813 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 3.813 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 3.813 * [taylor]: Taking taylor expansion of 1/2 in J 3.813 * [backup-simplify]: Simplify 1/2 into 1/2 3.813 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 3.813 * [taylor]: Taking taylor expansion of J in J 3.813 * [backup-simplify]: Simplify 0 into 0 3.813 * [backup-simplify]: Simplify 1 into 1 3.813 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 3.813 * [taylor]: Taking taylor expansion of U in J 3.813 * [backup-simplify]: Simplify U into U 3.813 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 3.813 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 3.813 * [taylor]: Taking taylor expansion of 1/2 in J 3.813 * [backup-simplify]: Simplify 1/2 into 1/2 3.813 * [taylor]: Taking taylor expansion of K in J 3.813 * [backup-simplify]: Simplify K into K 3.813 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.813 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.813 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.813 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.813 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.813 * [backup-simplify]: Simplify (- 0) into 0 3.814 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.814 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 3.814 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 3.814 * [backup-simplify]: Simplify (* 1 1) into 1 3.814 * [backup-simplify]: Simplify (+ 1 0) into 1 3.814 * [backup-simplify]: Simplify (sqrt 1) into 1 3.815 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.815 * [backup-simplify]: Simplify (+ 0 0) into 0 3.815 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.815 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 3.815 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 3.815 * [taylor]: Taking taylor expansion of 1/2 in J 3.816 * [backup-simplify]: Simplify 1/2 into 1/2 3.816 * [taylor]: Taking taylor expansion of K in J 3.816 * [backup-simplify]: Simplify K into K 3.816 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.816 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.816 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 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 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.816 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.816 * [backup-simplify]: Simplify (- 0) into 0 3.816 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.816 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 3.816 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.816 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in U 3.816 * [taylor]: Taking taylor expansion of -2 in U 3.816 * [backup-simplify]: Simplify -2 into -2 3.816 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in U 3.816 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 3.816 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 3.816 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 3.816 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 3.816 * [taylor]: Taking taylor expansion of (* 1 1) in U 3.816 * [taylor]: Taking taylor expansion of 1 in U 3.816 * [backup-simplify]: Simplify 1 into 1 3.816 * [taylor]: Taking taylor expansion of 1 in U 3.816 * [backup-simplify]: Simplify 1 into 1 3.817 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 3.817 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 3.817 * [taylor]: Taking taylor expansion of 1/2 in U 3.817 * [backup-simplify]: Simplify 1/2 into 1/2 3.817 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 3.817 * [taylor]: Taking taylor expansion of J in U 3.817 * [backup-simplify]: Simplify J into J 3.817 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 3.817 * [taylor]: Taking taylor expansion of U in U 3.817 * [backup-simplify]: Simplify 0 into 0 3.817 * [backup-simplify]: Simplify 1 into 1 3.817 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 3.817 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 3.817 * [taylor]: Taking taylor expansion of 1/2 in U 3.817 * [backup-simplify]: Simplify 1/2 into 1/2 3.817 * [taylor]: Taking taylor expansion of K in U 3.817 * [backup-simplify]: Simplify K into K 3.817 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.817 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.817 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.817 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.817 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.817 * [backup-simplify]: Simplify (- 0) into 0 3.817 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.817 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 3.818 * [backup-simplify]: Simplify (+ 0) into 0 3.818 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 3.818 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 3.818 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.819 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 3.819 * [backup-simplify]: Simplify (- 0) into 0 3.819 * [backup-simplify]: Simplify (+ 0 0) into 0 3.819 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 3.820 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 3.820 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 3.820 * [taylor]: Taking taylor expansion of 1/2 in U 3.820 * [backup-simplify]: Simplify 1/2 into 1/2 3.820 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 3.820 * [taylor]: Taking taylor expansion of J in U 3.820 * [backup-simplify]: Simplify J into J 3.820 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 3.820 * [taylor]: Taking taylor expansion of U in U 3.820 * [backup-simplify]: Simplify 0 into 0 3.820 * [backup-simplify]: Simplify 1 into 1 3.820 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 3.820 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 3.820 * [taylor]: Taking taylor expansion of 1/2 in U 3.820 * [backup-simplify]: Simplify 1/2 into 1/2 3.820 * [taylor]: Taking taylor expansion of K in U 3.820 * [backup-simplify]: Simplify K into K 3.820 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.820 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.820 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.820 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.820 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.820 * [backup-simplify]: Simplify (- 0) into 0 3.820 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.820 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 3.821 * [backup-simplify]: Simplify (+ 0) into 0 3.821 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 3.821 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 3.821 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.822 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 3.822 * [backup-simplify]: Simplify (- 0) into 0 3.822 * [backup-simplify]: Simplify (+ 0 0) into 0 3.823 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 3.823 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 3.823 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 3.823 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 3.823 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 3.823 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 3.823 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 3.824 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.824 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.824 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.825 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.825 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.825 * [backup-simplify]: Simplify (- 0) into 0 3.826 * [backup-simplify]: Simplify (+ 0 0) into 0 3.826 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 3.826 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 3.827 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 3.827 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.828 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.828 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.828 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.829 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.829 * [backup-simplify]: Simplify (- 0) into 0 3.829 * [backup-simplify]: Simplify (+ 0 0) into 0 3.830 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 3.830 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 3.830 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 3.830 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 3.831 * [backup-simplify]: Simplify (+ 0 0) into 0 3.831 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 3.831 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 3.831 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 3.831 * [taylor]: Taking taylor expansion of 1/2 in U 3.831 * [backup-simplify]: Simplify 1/2 into 1/2 3.831 * [taylor]: Taking taylor expansion of K in U 3.831 * [backup-simplify]: Simplify K into K 3.831 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.831 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.831 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.831 * [taylor]: Taking taylor expansion of J in U 3.831 * [backup-simplify]: Simplify J into J 3.831 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.831 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.832 * [backup-simplify]: Simplify (- 0) into 0 3.832 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.832 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 3.832 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 3.832 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in U 3.832 * [taylor]: Taking taylor expansion of -2 in U 3.832 * [backup-simplify]: Simplify -2 into -2 3.832 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in U 3.832 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 3.832 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 3.832 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 3.832 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 3.832 * [taylor]: Taking taylor expansion of (* 1 1) in U 3.832 * [taylor]: Taking taylor expansion of 1 in U 3.832 * [backup-simplify]: Simplify 1 into 1 3.832 * [taylor]: Taking taylor expansion of 1 in U 3.832 * [backup-simplify]: Simplify 1 into 1 3.832 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 3.832 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 3.832 * [taylor]: Taking taylor expansion of 1/2 in U 3.832 * [backup-simplify]: Simplify 1/2 into 1/2 3.832 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 3.832 * [taylor]: Taking taylor expansion of J in U 3.832 * [backup-simplify]: Simplify J into J 3.832 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 3.832 * [taylor]: Taking taylor expansion of U in U 3.832 * [backup-simplify]: Simplify 0 into 0 3.832 * [backup-simplify]: Simplify 1 into 1 3.832 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 3.832 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 3.832 * [taylor]: Taking taylor expansion of 1/2 in U 3.832 * [backup-simplify]: Simplify 1/2 into 1/2 3.832 * [taylor]: Taking taylor expansion of K in U 3.832 * [backup-simplify]: Simplify K into K 3.832 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.832 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.833 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.833 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.833 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.833 * [backup-simplify]: Simplify (- 0) into 0 3.833 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.833 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 3.833 * [backup-simplify]: Simplify (+ 0) into 0 3.834 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 3.834 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 3.834 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.834 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 3.835 * [backup-simplify]: Simplify (- 0) into 0 3.835 * [backup-simplify]: Simplify (+ 0 0) into 0 3.835 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 3.835 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 3.835 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 3.835 * [taylor]: Taking taylor expansion of 1/2 in U 3.835 * [backup-simplify]: Simplify 1/2 into 1/2 3.835 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 3.835 * [taylor]: Taking taylor expansion of J in U 3.835 * [backup-simplify]: Simplify J into J 3.835 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 3.835 * [taylor]: Taking taylor expansion of U in U 3.835 * [backup-simplify]: Simplify 0 into 0 3.835 * [backup-simplify]: Simplify 1 into 1 3.835 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 3.835 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 3.835 * [taylor]: Taking taylor expansion of 1/2 in U 3.835 * [backup-simplify]: Simplify 1/2 into 1/2 3.835 * [taylor]: Taking taylor expansion of K in U 3.835 * [backup-simplify]: Simplify K into K 3.836 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.836 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.836 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.836 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.836 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.836 * [backup-simplify]: Simplify (- 0) into 0 3.836 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.836 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 3.836 * [backup-simplify]: Simplify (+ 0) into 0 3.837 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 3.837 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 3.838 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.838 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 3.838 * [backup-simplify]: Simplify (- 0) into 0 3.839 * [backup-simplify]: Simplify (+ 0 0) into 0 3.839 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 3.839 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 3.839 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 3.840 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 3.840 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 3.840 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 3.840 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 3.841 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.842 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.842 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.843 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.843 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.844 * [backup-simplify]: Simplify (- 0) into 0 3.844 * [backup-simplify]: Simplify (+ 0 0) into 0 3.845 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 3.845 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 3.846 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 3.846 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.847 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.847 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.848 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.848 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.849 * [backup-simplify]: Simplify (- 0) into 0 3.849 * [backup-simplify]: Simplify (+ 0 0) into 0 3.849 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 3.850 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 3.850 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 3.850 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 3.850 * [backup-simplify]: Simplify (+ 0 0) into 0 3.850 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 3.850 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 3.851 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 3.851 * [taylor]: Taking taylor expansion of 1/2 in U 3.851 * [backup-simplify]: Simplify 1/2 into 1/2 3.851 * [taylor]: Taking taylor expansion of K in U 3.851 * [backup-simplify]: Simplify K into K 3.851 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.851 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.851 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.851 * [taylor]: Taking taylor expansion of J in U 3.851 * [backup-simplify]: Simplify J into J 3.851 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.851 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.851 * [backup-simplify]: Simplify (- 0) into 0 3.851 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.851 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 3.851 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 3.852 * [backup-simplify]: Simplify (* -2 1/2) into -1 3.852 * [taylor]: Taking taylor expansion of -1 in J 3.852 * [backup-simplify]: Simplify -1 into -1 3.852 * [backup-simplify]: Simplify (+ 0) into 0 3.852 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 3.853 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 3.855 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.855 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 3.855 * [backup-simplify]: Simplify (- 0) into 0 3.855 * [backup-simplify]: Simplify (+ 0 0) into 0 3.856 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (cos (/ 1/2 K)))) into 0 3.856 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)))) into 0 3.856 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0 3.856 * [taylor]: Taking taylor expansion of 0 in J 3.856 * [backup-simplify]: Simplify 0 into 0 3.856 * [taylor]: Taking taylor expansion of -1 in K 3.856 * [backup-simplify]: Simplify -1 into -1 3.856 * [backup-simplify]: Simplify -1 into -1 3.857 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.857 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.857 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.858 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.858 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.858 * [backup-simplify]: Simplify (- 0) into 0 3.858 * [backup-simplify]: Simplify (+ 0 0) into 0 3.859 * [backup-simplify]: Simplify (* 1 1) into 1 3.859 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.860 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.860 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.861 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 3.861 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 3.861 * [backup-simplify]: Simplify (- 0) into 0 3.862 * [backup-simplify]: Simplify (+ 0 0) into 0 3.862 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 3.863 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 3.863 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 3.864 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.864 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.864 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.865 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 3.866 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 3.866 * [backup-simplify]: Simplify (- 0) into 0 3.866 * [backup-simplify]: Simplify (+ 0 0) into 0 3.867 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 3.867 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 3.867 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 3.868 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K))))))) into 0 3.868 * [backup-simplify]: Simplify (+ 1 0) into 1 3.869 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 3.869 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* (/ (cos (/ 1/2 K)) J) (cos (/ 1/2 K))))) into (/ (pow (cos (/ 1/2 K)) 2) J) 3.869 * [backup-simplify]: Simplify (- (/ (/ (pow (cos (/ 1/2 K)) 2) J) J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 3.870 * [backup-simplify]: Simplify (+ (* -2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) 3.870 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J 3.870 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J 3.870 * [taylor]: Taking taylor expansion of 2 in J 3.870 * [backup-simplify]: Simplify 2 into 2 3.870 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J 3.870 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 3.870 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 3.870 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 3.870 * [taylor]: Taking taylor expansion of 1/2 in J 3.870 * [backup-simplify]: Simplify 1/2 into 1/2 3.870 * [taylor]: Taking taylor expansion of K in J 3.870 * [backup-simplify]: Simplify K into K 3.870 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 3.870 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 3.870 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 3.870 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 3.870 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 3.870 * [backup-simplify]: Simplify (- 0) into 0 3.871 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 3.871 * [taylor]: Taking taylor expansion of (pow J 2) in J 3.871 * [taylor]: Taking taylor expansion of J in J 3.871 * [backup-simplify]: Simplify 0 into 0 3.871 * [backup-simplify]: Simplify 1 into 1 3.871 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 3.871 * [backup-simplify]: Simplify (* 1 1) into 1 3.871 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 3.871 * [backup-simplify]: Simplify (+ 0) into 0 3.872 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 3.872 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 3.872 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.872 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 3.873 * [backup-simplify]: Simplify (- 0) into 0 3.873 * [backup-simplify]: Simplify (+ 0 0) into 0 3.873 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 3.873 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.874 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 3.874 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 3.875 * [backup-simplify]: Simplify (- 0) into 0 3.875 * [taylor]: Taking taylor expansion of 0 in K 3.875 * [backup-simplify]: Simplify 0 into 0 3.875 * [backup-simplify]: Simplify 0 into 0 3.875 * [taylor]: Taking taylor expansion of 0 in K 3.875 * [backup-simplify]: Simplify 0 into 0 3.875 * [backup-simplify]: Simplify 0 into 0 3.875 * [taylor]: Taking taylor expansion of 0 in K 3.875 * [backup-simplify]: Simplify 0 into 0 3.875 * [backup-simplify]: Simplify 0 into 0 3.875 * [backup-simplify]: Simplify 0 into 0 3.875 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.876 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.876 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.877 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 3.878 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 3.878 * [backup-simplify]: Simplify (- 0) into 0 3.878 * [backup-simplify]: Simplify (+ 0 0) into 0 3.878 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.880 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 3.881 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.881 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.882 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 3.882 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 3.883 * [backup-simplify]: Simplify (- 0) into 0 3.883 * [backup-simplify]: Simplify (+ 0 0) into 0 3.884 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))))) into 0 3.885 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 3.886 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K))))))) into 0 3.888 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 3.889 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.890 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.891 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 3.892 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 3.893 * [backup-simplify]: Simplify (- 0) into 0 3.893 * [backup-simplify]: Simplify (+ 0 0) into 0 3.894 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))))) into 0 3.895 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 3.896 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K))))))) into 0 3.897 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))))) into 0 3.898 * [backup-simplify]: Simplify (+ 0 0) into 0 3.898 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 3.899 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* (/ (cos (/ 1/2 K)) J) 0) (* 0 (cos (/ 1/2 K)))))) into 0 3.899 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)) (* (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) (/ 0 J)))) into 0 3.901 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 3.901 * [taylor]: Taking taylor expansion of 0 in J 3.901 * [backup-simplify]: Simplify 0 into 0 3.902 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.903 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.904 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.904 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.905 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.905 * [backup-simplify]: Simplify (- 0) into 0 3.906 * [backup-simplify]: Simplify (+ 0 0) into 0 3.906 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 3.907 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.909 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.909 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 3.910 * [backup-simplify]: Simplify (- 0) into 0 3.910 * [taylor]: Taking taylor expansion of 0 in K 3.910 * [backup-simplify]: Simplify 0 into 0 3.910 * [backup-simplify]: Simplify 0 into 0 3.910 * [taylor]: Taking taylor expansion of 0 in K 3.910 * [backup-simplify]: Simplify 0 into 0 3.910 * [backup-simplify]: Simplify 0 into 0 3.910 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U) 3.911 * [backup-simplify]: Simplify (* (* (hypot 1 (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) (cos (/ (/ 1 (- K)) 2))) (* -2 (/ 1 (- J)))) into (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) 3.911 * [approximate]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in (U J K) around 0 3.911 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in K 3.911 * [taylor]: Taking taylor expansion of 2 in K 3.911 * [backup-simplify]: Simplify 2 into 2 3.911 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in K 3.911 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 3.911 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 3.911 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 3.911 * [taylor]: Taking taylor expansion of -1/2 in K 3.911 * [backup-simplify]: Simplify -1/2 into -1/2 3.911 * [taylor]: Taking taylor expansion of K in K 3.911 * [backup-simplify]: Simplify 0 into 0 3.911 * [backup-simplify]: Simplify 1 into 1 3.912 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.912 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.912 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 3.912 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 3.912 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 3.912 * [taylor]: Taking taylor expansion of (* 1 1) in K 3.912 * [taylor]: Taking taylor expansion of 1 in K 3.912 * [backup-simplify]: Simplify 1 into 1 3.912 * [taylor]: Taking taylor expansion of 1 in K 3.912 * [backup-simplify]: Simplify 1 into 1 3.912 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 3.912 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 3.912 * [taylor]: Taking taylor expansion of 1/2 in K 3.912 * [backup-simplify]: Simplify 1/2 into 1/2 3.912 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 3.912 * [taylor]: Taking taylor expansion of J in K 3.912 * [backup-simplify]: Simplify J into J 3.912 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 3.912 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 3.912 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 3.912 * [taylor]: Taking taylor expansion of -1/2 in K 3.912 * [backup-simplify]: Simplify -1/2 into -1/2 3.912 * [taylor]: Taking taylor expansion of K in K 3.912 * [backup-simplify]: Simplify 0 into 0 3.912 * [backup-simplify]: Simplify 1 into 1 3.913 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.913 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.913 * [taylor]: Taking taylor expansion of U in K 3.913 * [backup-simplify]: Simplify U into U 3.913 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 3.913 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 3.913 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 3.913 * [taylor]: Taking taylor expansion of 1/2 in K 3.913 * [backup-simplify]: Simplify 1/2 into 1/2 3.913 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 3.913 * [taylor]: Taking taylor expansion of J in K 3.913 * [backup-simplify]: Simplify J into J 3.913 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 3.913 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 3.913 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 3.913 * [taylor]: Taking taylor expansion of -1/2 in K 3.913 * [backup-simplify]: Simplify -1/2 into -1/2 3.913 * [taylor]: Taking taylor expansion of K in K 3.914 * [backup-simplify]: Simplify 0 into 0 3.914 * [backup-simplify]: Simplify 1 into 1 3.914 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.914 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.914 * [taylor]: Taking taylor expansion of U in K 3.914 * [backup-simplify]: Simplify U into U 3.914 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 3.914 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 3.915 * [backup-simplify]: Simplify (* 1 1) into 1 3.915 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 3.915 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 3.915 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 3.916 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 3.916 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 3.917 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.917 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 3.917 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 3.918 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 3.918 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 3.919 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 3.919 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 3.919 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into 0 3.920 * [backup-simplify]: Simplify (+ 0 0) into 0 3.920 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 3.920 * [taylor]: Taking taylor expansion of J in K 3.920 * [backup-simplify]: Simplify J into J 3.921 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 3.921 * [backup-simplify]: Simplify (/ (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) J) into (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 3.921 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in J 3.921 * [taylor]: Taking taylor expansion of 2 in J 3.922 * [backup-simplify]: Simplify 2 into 2 3.922 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in J 3.922 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 3.922 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 3.922 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 3.922 * [taylor]: Taking taylor expansion of -1/2 in J 3.922 * [backup-simplify]: Simplify -1/2 into -1/2 3.922 * [taylor]: Taking taylor expansion of K in J 3.922 * [backup-simplify]: Simplify K into K 3.922 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.922 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.922 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.922 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 3.922 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 3.922 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 3.922 * [taylor]: Taking taylor expansion of (* 1 1) in J 3.922 * [taylor]: Taking taylor expansion of 1 in J 3.922 * [backup-simplify]: Simplify 1 into 1 3.922 * [taylor]: Taking taylor expansion of 1 in J 3.922 * [backup-simplify]: Simplify 1 into 1 3.922 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 3.922 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 3.922 * [taylor]: Taking taylor expansion of 1/2 in J 3.922 * [backup-simplify]: Simplify 1/2 into 1/2 3.922 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 3.922 * [taylor]: Taking taylor expansion of J in J 3.922 * [backup-simplify]: Simplify 0 into 0 3.922 * [backup-simplify]: Simplify 1 into 1 3.922 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 3.922 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 3.922 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 3.923 * [taylor]: Taking taylor expansion of -1/2 in J 3.923 * [backup-simplify]: Simplify -1/2 into -1/2 3.923 * [taylor]: Taking taylor expansion of K in J 3.923 * [backup-simplify]: Simplify K into K 3.923 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.923 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.923 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.923 * [taylor]: Taking taylor expansion of U in J 3.923 * [backup-simplify]: Simplify U into U 3.923 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.923 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.923 * [backup-simplify]: Simplify (- 0) into 0 3.924 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.924 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 3.924 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 3.924 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 3.924 * [taylor]: Taking taylor expansion of 1/2 in J 3.924 * [backup-simplify]: Simplify 1/2 into 1/2 3.924 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 3.924 * [taylor]: Taking taylor expansion of J in J 3.924 * [backup-simplify]: Simplify 0 into 0 3.924 * [backup-simplify]: Simplify 1 into 1 3.924 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 3.924 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 3.924 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 3.924 * [taylor]: Taking taylor expansion of -1/2 in J 3.924 * [backup-simplify]: Simplify -1/2 into -1/2 3.924 * [taylor]: Taking taylor expansion of K in J 3.924 * [backup-simplify]: Simplify K into K 3.924 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.924 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.924 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.924 * [taylor]: Taking taylor expansion of U in J 3.924 * [backup-simplify]: Simplify U into U 3.925 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.925 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.925 * [backup-simplify]: Simplify (- 0) into 0 3.925 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.925 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 3.925 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 3.926 * [backup-simplify]: Simplify (* 1 1) into 1 3.926 * [backup-simplify]: Simplify (+ 1 0) into 1 3.927 * [backup-simplify]: Simplify (sqrt 1) into 1 3.927 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.928 * [backup-simplify]: Simplify (+ 0 0) into 0 3.928 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.928 * [taylor]: Taking taylor expansion of J in J 3.928 * [backup-simplify]: Simplify 0 into 0 3.928 * [backup-simplify]: Simplify 1 into 1 3.928 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.929 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.929 * [backup-simplify]: Simplify (- 0) into 0 3.929 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.929 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.929 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.929 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in U 3.929 * [taylor]: Taking taylor expansion of 2 in U 3.929 * [backup-simplify]: Simplify 2 into 2 3.929 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in U 3.929 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 3.929 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 3.929 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 3.929 * [taylor]: Taking taylor expansion of -1/2 in U 3.929 * [backup-simplify]: Simplify -1/2 into -1/2 3.929 * [taylor]: Taking taylor expansion of K in U 3.930 * [backup-simplify]: Simplify K into K 3.930 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.930 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.930 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.930 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 3.930 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 3.930 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 3.930 * [taylor]: Taking taylor expansion of (* 1 1) in U 3.930 * [taylor]: Taking taylor expansion of 1 in U 3.930 * [backup-simplify]: Simplify 1 into 1 3.930 * [taylor]: Taking taylor expansion of 1 in U 3.930 * [backup-simplify]: Simplify 1 into 1 3.930 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 3.930 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 3.930 * [taylor]: Taking taylor expansion of 1/2 in U 3.930 * [backup-simplify]: Simplify 1/2 into 1/2 3.930 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 3.930 * [taylor]: Taking taylor expansion of J in U 3.930 * [backup-simplify]: Simplify J into J 3.930 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 3.930 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 3.930 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 3.930 * [taylor]: Taking taylor expansion of -1/2 in U 3.930 * [backup-simplify]: Simplify -1/2 into -1/2 3.930 * [taylor]: Taking taylor expansion of K in U 3.930 * [backup-simplify]: Simplify K into K 3.930 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.930 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.931 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.931 * [taylor]: Taking taylor expansion of U in U 3.931 * [backup-simplify]: Simplify 0 into 0 3.931 * [backup-simplify]: Simplify 1 into 1 3.931 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.931 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.931 * [backup-simplify]: Simplify (- 0) into 0 3.931 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.931 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 3.932 * [backup-simplify]: Simplify (+ 0) into 0 3.932 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 3.932 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 3.933 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.934 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 3.934 * [backup-simplify]: Simplify (- 0) into 0 3.934 * [backup-simplify]: Simplify (+ 0 0) into 0 3.935 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 3.935 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 3.935 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 3.935 * [taylor]: Taking taylor expansion of 1/2 in U 3.935 * [backup-simplify]: Simplify 1/2 into 1/2 3.935 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 3.935 * [taylor]: Taking taylor expansion of J in U 3.935 * [backup-simplify]: Simplify J into J 3.935 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 3.935 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 3.935 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 3.935 * [taylor]: Taking taylor expansion of -1/2 in U 3.935 * [backup-simplify]: Simplify -1/2 into -1/2 3.935 * [taylor]: Taking taylor expansion of K in U 3.935 * [backup-simplify]: Simplify K into K 3.935 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.935 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.935 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.935 * [taylor]: Taking taylor expansion of U in U 3.936 * [backup-simplify]: Simplify 0 into 0 3.936 * [backup-simplify]: Simplify 1 into 1 3.936 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.936 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.936 * [backup-simplify]: Simplify (- 0) into 0 3.936 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.936 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 3.937 * [backup-simplify]: Simplify (+ 0) into 0 3.937 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 3.937 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 3.938 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.938 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 3.939 * [backup-simplify]: Simplify (- 0) into 0 3.939 * [backup-simplify]: Simplify (+ 0 0) into 0 3.939 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 3.939 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 3.940 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 3.940 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 3.940 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 3.940 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 3.940 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 3.941 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.942 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.942 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.943 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.944 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.944 * [backup-simplify]: Simplify (- 0) into 0 3.944 * [backup-simplify]: Simplify (+ 0 0) into 0 3.945 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 3.945 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 3.946 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 3.947 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.947 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.947 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.948 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.949 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.949 * [backup-simplify]: Simplify (- 0) into 0 3.949 * [backup-simplify]: Simplify (+ 0 0) into 0 3.949 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 3.950 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 3.950 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 3.950 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 3.950 * [backup-simplify]: Simplify (+ 0 0) into 0 3.951 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 3.951 * [taylor]: Taking taylor expansion of J in U 3.951 * [backup-simplify]: Simplify J into J 3.951 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.951 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.951 * [backup-simplify]: Simplify (- 0) into 0 3.951 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.951 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 3.951 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 3.951 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in U 3.951 * [taylor]: Taking taylor expansion of 2 in U 3.951 * [backup-simplify]: Simplify 2 into 2 3.951 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in U 3.951 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 3.951 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 3.951 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 3.951 * [taylor]: Taking taylor expansion of -1/2 in U 3.951 * [backup-simplify]: Simplify -1/2 into -1/2 3.951 * [taylor]: Taking taylor expansion of K in U 3.951 * [backup-simplify]: Simplify K into K 3.951 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.951 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.951 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.951 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 3.952 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 3.952 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 3.952 * [taylor]: Taking taylor expansion of (* 1 1) in U 3.952 * [taylor]: Taking taylor expansion of 1 in U 3.952 * [backup-simplify]: Simplify 1 into 1 3.952 * [taylor]: Taking taylor expansion of 1 in U 3.952 * [backup-simplify]: Simplify 1 into 1 3.952 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 3.952 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 3.952 * [taylor]: Taking taylor expansion of 1/2 in U 3.952 * [backup-simplify]: Simplify 1/2 into 1/2 3.952 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 3.952 * [taylor]: Taking taylor expansion of J in U 3.952 * [backup-simplify]: Simplify J into J 3.952 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 3.952 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 3.952 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 3.952 * [taylor]: Taking taylor expansion of -1/2 in U 3.952 * [backup-simplify]: Simplify -1/2 into -1/2 3.952 * [taylor]: Taking taylor expansion of K in U 3.952 * [backup-simplify]: Simplify K into K 3.952 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.952 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.952 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.952 * [taylor]: Taking taylor expansion of U in U 3.952 * [backup-simplify]: Simplify 0 into 0 3.952 * [backup-simplify]: Simplify 1 into 1 3.952 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.952 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.952 * [backup-simplify]: Simplify (- 0) into 0 3.952 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.952 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 3.953 * [backup-simplify]: Simplify (+ 0) into 0 3.953 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 3.953 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 3.954 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.954 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 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 (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 3.955 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 3.955 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 3.955 * [taylor]: Taking taylor expansion of 1/2 in U 3.955 * [backup-simplify]: Simplify 1/2 into 1/2 3.955 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 3.955 * [taylor]: Taking taylor expansion of J in U 3.955 * [backup-simplify]: Simplify J into J 3.955 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 3.955 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 3.955 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 3.955 * [taylor]: Taking taylor expansion of -1/2 in U 3.955 * [backup-simplify]: Simplify -1/2 into -1/2 3.955 * [taylor]: Taking taylor expansion of K in U 3.955 * [backup-simplify]: Simplify K into K 3.955 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.955 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.955 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.955 * [taylor]: Taking taylor expansion of U in U 3.955 * [backup-simplify]: Simplify 0 into 0 3.955 * [backup-simplify]: Simplify 1 into 1 3.955 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.955 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.955 * [backup-simplify]: Simplify (- 0) into 0 3.955 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.956 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 3.956 * [backup-simplify]: Simplify (+ 0) into 0 3.956 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 3.956 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 3.957 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.957 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 3.957 * [backup-simplify]: Simplify (- 0) into 0 3.957 * [backup-simplify]: Simplify (+ 0 0) into 0 3.958 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 3.958 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 3.958 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 3.958 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 3.958 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 3.958 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 3.958 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 3.959 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.959 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.959 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.960 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.960 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.961 * [backup-simplify]: Simplify (- 0) into 0 3.961 * [backup-simplify]: Simplify (+ 0 0) into 0 3.961 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 3.961 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 3.962 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 3.962 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.963 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.963 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.964 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.964 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.965 * [backup-simplify]: Simplify (- 0) into 0 3.965 * [backup-simplify]: Simplify (+ 0 0) into 0 3.965 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 3.965 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 3.966 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 3.966 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 3.966 * [backup-simplify]: Simplify (+ 0 0) into 0 3.966 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 3.966 * [taylor]: Taking taylor expansion of J in U 3.966 * [backup-simplify]: Simplify J into J 3.966 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.966 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.967 * [backup-simplify]: Simplify (- 0) into 0 3.967 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.967 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 3.967 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 3.967 * [backup-simplify]: Simplify (* 2 1/2) into 1 3.967 * [taylor]: Taking taylor expansion of 1 in J 3.967 * [backup-simplify]: Simplify 1 into 1 3.968 * [backup-simplify]: Simplify (+ 0) into 0 3.968 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 3.968 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 3.968 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.970 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 3.971 * [backup-simplify]: Simplify (- 0) into 0 3.971 * [backup-simplify]: Simplify (+ 0 0) into 0 3.971 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 3.971 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)))) into 0 3.972 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0 3.972 * [taylor]: Taking taylor expansion of 0 in J 3.972 * [backup-simplify]: Simplify 0 into 0 3.972 * [taylor]: Taking taylor expansion of 1 in K 3.972 * [backup-simplify]: Simplify 1 into 1 3.972 * [backup-simplify]: Simplify 1 into 1 3.972 * [backup-simplify]: Simplify (* 1 1) into 1 3.973 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.973 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.973 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.974 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 3.974 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 3.975 * [backup-simplify]: Simplify (- 0) into 0 3.975 * [backup-simplify]: Simplify (+ 0 0) into 0 3.975 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.976 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 3.976 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 3.977 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.978 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.978 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.979 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 3.980 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 3.980 * [backup-simplify]: Simplify (- 0) into 0 3.981 * [backup-simplify]: Simplify (+ 0 0) into 0 3.981 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.982 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 3.982 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 3.983 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into 0 3.983 * [backup-simplify]: Simplify (+ 1 0) into 1 3.984 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 3.985 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.986 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 3.986 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 3.987 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.987 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 3.988 * [backup-simplify]: Simplify (- 0) into 0 3.988 * [backup-simplify]: Simplify (+ 0 0) into 0 3.989 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into (/ (pow (cos (/ -1/2 K)) 2) J) 3.989 * [backup-simplify]: Simplify (- (/ (/ (pow (cos (/ -1/2 K)) 2) J) J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 3.990 * [backup-simplify]: Simplify (+ (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 3.990 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J 3.990 * [taylor]: Taking taylor expansion of 2 in J 3.990 * [backup-simplify]: Simplify 2 into 2 3.990 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J 3.990 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 3.990 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 3.990 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 3.990 * [taylor]: Taking taylor expansion of -1/2 in J 3.990 * [backup-simplify]: Simplify -1/2 into -1/2 3.990 * [taylor]: Taking taylor expansion of K in J 3.990 * [backup-simplify]: Simplify K into K 3.990 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 3.990 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 3.990 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 3.990 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 3.990 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 3.991 * [backup-simplify]: Simplify (- 0) into 0 3.991 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 3.991 * [taylor]: Taking taylor expansion of (pow J 2) in J 3.991 * [taylor]: Taking taylor expansion of J in J 3.991 * [backup-simplify]: Simplify 0 into 0 3.991 * [backup-simplify]: Simplify 1 into 1 3.991 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 3.992 * [backup-simplify]: Simplify (* 1 1) into 1 3.992 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 3.992 * [backup-simplify]: Simplify (+ 0) into 0 3.993 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 3.993 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 3.993 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.994 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 3.994 * [backup-simplify]: Simplify (- 0) into 0 3.995 * [backup-simplify]: Simplify (+ 0 0) into 0 3.995 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 3.995 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.996 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 3.997 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 3.997 * [taylor]: Taking taylor expansion of 0 in K 3.997 * [backup-simplify]: Simplify 0 into 0 3.997 * [backup-simplify]: Simplify 0 into 0 3.997 * [taylor]: Taking taylor expansion of 0 in K 3.997 * [backup-simplify]: Simplify 0 into 0 3.997 * [backup-simplify]: Simplify 0 into 0 3.997 * [taylor]: Taking taylor expansion of 0 in K 3.997 * [backup-simplify]: Simplify 0 into 0 3.997 * [backup-simplify]: Simplify 0 into 0 3.997 * [backup-simplify]: Simplify 0 into 0 3.998 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.000 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 4.001 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.002 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 4.003 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 4.004 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 4.005 * [backup-simplify]: Simplify (- 0) into 0 4.005 * [backup-simplify]: Simplify (+ 0 0) into 0 4.006 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.006 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 4.008 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K))))))) into 0 4.010 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 4.012 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.012 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 4.014 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 4.014 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 4.015 * [backup-simplify]: Simplify (- 0) into 0 4.015 * [backup-simplify]: Simplify (+ 0 0) into 0 4.016 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.017 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 4.018 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K))))))) into 0 4.019 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0 4.019 * [backup-simplify]: Simplify (+ 0 0) into 0 4.020 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 4.021 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.022 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.022 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 4.025 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 4.025 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 4.026 * [backup-simplify]: Simplify (- 0) into 0 4.026 * [backup-simplify]: Simplify (+ 0 0) into 0 4.027 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0 4.027 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)) (* (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) (/ 0 J)))) into 0 4.029 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 4.029 * [taylor]: Taking taylor expansion of 0 in J 4.029 * [backup-simplify]: Simplify 0 into 0 4.030 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.030 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 4.031 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 4.031 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.032 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 4.032 * [backup-simplify]: Simplify (- 0) into 0 4.033 * [backup-simplify]: Simplify (+ 0 0) into 0 4.033 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 4.034 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.036 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.036 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0 4.037 * [taylor]: Taking taylor expansion of 0 in K 4.037 * [backup-simplify]: Simplify 0 into 0 4.037 * [backup-simplify]: Simplify 0 into 0 4.037 * [taylor]: Taking taylor expansion of 0 in K 4.037 * [backup-simplify]: Simplify 0 into 0 4.037 * [backup-simplify]: Simplify 0 into 0 4.037 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U) 4.037 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 4.037 * [backup-simplify]: Simplify (/ U (* (* 2 J) (cos (/ K 2)))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 4.037 * [approximate]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in (U J K) around 0 4.037 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 4.037 * [taylor]: Taking taylor expansion of 1/2 in K 4.037 * [backup-simplify]: Simplify 1/2 into 1/2 4.037 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 4.037 * [taylor]: Taking taylor expansion of U in K 4.037 * [backup-simplify]: Simplify U into U 4.037 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 4.037 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 4.037 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 4.037 * [taylor]: Taking taylor expansion of 1/2 in K 4.037 * [backup-simplify]: Simplify 1/2 into 1/2 4.038 * [taylor]: Taking taylor expansion of K in K 4.038 * [backup-simplify]: Simplify 0 into 0 4.038 * [backup-simplify]: Simplify 1 into 1 4.038 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.039 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.039 * [taylor]: Taking taylor expansion of J in K 4.039 * [backup-simplify]: Simplify J into J 4.039 * [backup-simplify]: Simplify (* 1 J) into J 4.039 * [backup-simplify]: Simplify (/ U J) into (/ U J) 4.039 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 4.039 * [taylor]: Taking taylor expansion of 1/2 in J 4.039 * [backup-simplify]: Simplify 1/2 into 1/2 4.039 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 4.039 * [taylor]: Taking taylor expansion of U in J 4.039 * [backup-simplify]: Simplify U into U 4.039 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 4.039 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 4.039 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 4.039 * [taylor]: Taking taylor expansion of 1/2 in J 4.039 * [backup-simplify]: Simplify 1/2 into 1/2 4.039 * [taylor]: Taking taylor expansion of K in J 4.039 * [backup-simplify]: Simplify K into K 4.039 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 4.039 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 4.039 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 4.039 * [taylor]: Taking taylor expansion of J in J 4.039 * [backup-simplify]: Simplify 0 into 0 4.039 * [backup-simplify]: Simplify 1 into 1 4.039 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 4.040 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 4.040 * [backup-simplify]: Simplify (- 0) into 0 4.040 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 4.040 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 4.040 * [backup-simplify]: Simplify (+ 0) into 0 4.041 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 4.041 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 4.042 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.042 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 4.043 * [backup-simplify]: Simplify (- 0) into 0 4.043 * [backup-simplify]: Simplify (+ 0 0) into 0 4.044 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 4.044 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 4.044 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 4.044 * [taylor]: Taking taylor expansion of 1/2 in U 4.044 * [backup-simplify]: Simplify 1/2 into 1/2 4.044 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 4.044 * [taylor]: Taking taylor expansion of U in U 4.044 * [backup-simplify]: Simplify 0 into 0 4.044 * [backup-simplify]: Simplify 1 into 1 4.044 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 4.044 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 4.044 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 4.044 * [taylor]: Taking taylor expansion of 1/2 in U 4.044 * [backup-simplify]: Simplify 1/2 into 1/2 4.044 * [taylor]: Taking taylor expansion of K in U 4.044 * [backup-simplify]: Simplify K into K 4.044 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 4.044 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 4.044 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 4.044 * [taylor]: Taking taylor expansion of J in U 4.044 * [backup-simplify]: Simplify J into J 4.044 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 4.044 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 4.045 * [backup-simplify]: Simplify (- 0) into 0 4.045 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 4.045 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 4.045 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 4.045 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 4.045 * [taylor]: Taking taylor expansion of 1/2 in U 4.045 * [backup-simplify]: Simplify 1/2 into 1/2 4.045 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 4.045 * [taylor]: Taking taylor expansion of U in U 4.045 * [backup-simplify]: Simplify 0 into 0 4.045 * [backup-simplify]: Simplify 1 into 1 4.045 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 4.045 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 4.045 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 4.045 * [taylor]: Taking taylor expansion of 1/2 in U 4.045 * [backup-simplify]: Simplify 1/2 into 1/2 4.045 * [taylor]: Taking taylor expansion of K in U 4.045 * [backup-simplify]: Simplify K into K 4.045 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 4.045 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 4.045 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 4.046 * [taylor]: Taking taylor expansion of J in U 4.046 * [backup-simplify]: Simplify J into J 4.046 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 4.046 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 4.046 * [backup-simplify]: Simplify (- 0) into 0 4.046 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 4.046 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 4.046 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 4.046 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 4.047 * [taylor]: Taking taylor expansion of (/ 1/2 (* (cos (* 1/2 K)) J)) in J 4.047 * [taylor]: Taking taylor expansion of 1/2 in J 4.047 * [backup-simplify]: Simplify 1/2 into 1/2 4.047 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 4.047 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 4.047 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 4.047 * [taylor]: Taking taylor expansion of 1/2 in J 4.047 * [backup-simplify]: Simplify 1/2 into 1/2 4.047 * [taylor]: Taking taylor expansion of K in J 4.047 * [backup-simplify]: Simplify K into K 4.047 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 4.047 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 4.047 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 4.047 * [taylor]: Taking taylor expansion of J in J 4.047 * [backup-simplify]: Simplify 0 into 0 4.047 * [backup-simplify]: Simplify 1 into 1 4.047 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 4.047 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 4.047 * [backup-simplify]: Simplify (- 0) into 0 4.048 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 4.048 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 4.048 * [backup-simplify]: Simplify (+ 0) into 0 4.048 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 4.049 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 4.050 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.050 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 4.050 * [backup-simplify]: Simplify (- 0) into 0 4.051 * [backup-simplify]: Simplify (+ 0 0) into 0 4.051 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 4.051 * [backup-simplify]: Simplify (/ 1/2 (cos (* 1/2 K))) into (/ 1/2 (cos (* 1/2 K))) 4.051 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (* 1/2 K))) in K 4.051 * [taylor]: Taking taylor expansion of 1/2 in K 4.051 * [backup-simplify]: Simplify 1/2 into 1/2 4.051 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 4.051 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 4.051 * [taylor]: Taking taylor expansion of 1/2 in K 4.051 * [backup-simplify]: Simplify 1/2 into 1/2 4.051 * [taylor]: Taking taylor expansion of K in K 4.051 * [backup-simplify]: Simplify 0 into 0 4.051 * [backup-simplify]: Simplify 1 into 1 4.052 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.053 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.053 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.053 * [backup-simplify]: Simplify 1/2 into 1/2 4.053 * [backup-simplify]: Simplify (+ 0) into 0 4.054 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 4.054 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 4.055 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.055 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 4.056 * [backup-simplify]: Simplify (- 0) into 0 4.056 * [backup-simplify]: Simplify (+ 0 0) into 0 4.056 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 4.057 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 4.057 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 4.057 * [taylor]: Taking taylor expansion of 0 in J 4.057 * [backup-simplify]: Simplify 0 into 0 4.058 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.059 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 4.059 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 4.060 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.061 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 4.061 * [backup-simplify]: Simplify (- 0) into 0 4.061 * [backup-simplify]: Simplify (+ 0 0) into 0 4.062 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 4.062 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 4.062 * [taylor]: Taking taylor expansion of 0 in K 4.062 * [backup-simplify]: Simplify 0 into 0 4.062 * [backup-simplify]: Simplify 0 into 0 4.063 * [backup-simplify]: Simplify (+ 0) into 0 4.063 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.063 * [backup-simplify]: Simplify 0 into 0 4.064 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.065 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 4.066 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 4.066 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.067 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 4.067 * [backup-simplify]: Simplify (- 0) into 0 4.068 * [backup-simplify]: Simplify (+ 0 0) into 0 4.068 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0 4.069 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))) (* 0 (/ 0 (* (cos (* 1/2 K)) J))))) into 0 4.069 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J))))) into 0 4.069 * [taylor]: Taking taylor expansion of 0 in J 4.069 * [backup-simplify]: Simplify 0 into 0 4.070 * [taylor]: Taking taylor expansion of 0 in K 4.070 * [backup-simplify]: Simplify 0 into 0 4.070 * [backup-simplify]: Simplify 0 into 0 4.070 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.071 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.073 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 4.074 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 4.075 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 4.075 * [backup-simplify]: Simplify (- 0) into 0 4.075 * [backup-simplify]: Simplify (+ 0 0) into 0 4.076 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.077 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0 4.077 * [taylor]: Taking taylor expansion of 0 in K 4.077 * [backup-simplify]: Simplify 0 into 0 4.077 * [backup-simplify]: Simplify 0 into 0 4.077 * [backup-simplify]: Simplify 0 into 0 4.078 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 4.079 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/16 4.079 * [backup-simplify]: Simplify 1/16 into 1/16 4.080 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.081 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.082 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 4.084 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 4.084 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 4.085 * [backup-simplify]: Simplify (- 0) into 0 4.085 * [backup-simplify]: Simplify (+ 0 0) into 0 4.086 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 4.087 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))) (* 0 (/ 0 (* (cos (* 1/2 K)) J))) (* 0 (/ 0 (* (cos (* 1/2 K)) J))))) into 0 4.088 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))))) into 0 4.088 * [taylor]: Taking taylor expansion of 0 in J 4.088 * [backup-simplify]: Simplify 0 into 0 4.088 * [taylor]: Taking taylor expansion of 0 in K 4.088 * [backup-simplify]: Simplify 0 into 0 4.088 * [backup-simplify]: Simplify 0 into 0 4.088 * [taylor]: Taking taylor expansion of 0 in K 4.088 * [backup-simplify]: Simplify 0 into 0 4.088 * [backup-simplify]: Simplify 0 into 0 4.091 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 4.092 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.094 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0 4.095 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 4.096 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 4.097 * [backup-simplify]: Simplify (- 0) into 0 4.097 * [backup-simplify]: Simplify (+ 0 0) into 0 4.098 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.098 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0 4.098 * [taylor]: Taking taylor expansion of 0 in K 4.098 * [backup-simplify]: Simplify 0 into 0 4.099 * [backup-simplify]: Simplify 0 into 0 4.099 * [backup-simplify]: Simplify 0 into 0 4.099 * [backup-simplify]: Simplify 0 into 0 4.099 * [backup-simplify]: Simplify 0 into 0 4.099 * [backup-simplify]: Simplify (+ (* 1/16 (* (pow K 2) (* (/ 1 J) U))) (* 1/2 (* 1 (* (/ 1 J) U)))) into (+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J))) 4.099 * [backup-simplify]: Simplify (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 4.099 * [approximate]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in (U J K) around 0 4.099 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 4.099 * [taylor]: Taking taylor expansion of 1/2 in K 4.099 * [backup-simplify]: Simplify 1/2 into 1/2 4.099 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 4.099 * [taylor]: Taking taylor expansion of J in K 4.100 * [backup-simplify]: Simplify J into J 4.100 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 4.100 * [taylor]: Taking taylor expansion of U in K 4.100 * [backup-simplify]: Simplify U into U 4.100 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 4.100 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 4.100 * [taylor]: Taking taylor expansion of 1/2 in K 4.100 * [backup-simplify]: Simplify 1/2 into 1/2 4.100 * [taylor]: Taking taylor expansion of K in K 4.100 * [backup-simplify]: Simplify 0 into 0 4.100 * [backup-simplify]: Simplify 1 into 1 4.100 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.100 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 4.100 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 4.101 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 4.101 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 4.101 * [taylor]: Taking taylor expansion of 1/2 in J 4.101 * [backup-simplify]: Simplify 1/2 into 1/2 4.101 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 4.101 * [taylor]: Taking taylor expansion of J in J 4.101 * [backup-simplify]: Simplify 0 into 0 4.101 * [backup-simplify]: Simplify 1 into 1 4.101 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 4.101 * [taylor]: Taking taylor expansion of U in J 4.101 * [backup-simplify]: Simplify U into U 4.101 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 4.101 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 4.101 * [taylor]: Taking taylor expansion of 1/2 in J 4.101 * [backup-simplify]: Simplify 1/2 into 1/2 4.101 * [taylor]: Taking taylor expansion of K in J 4.101 * [backup-simplify]: Simplify K into K 4.101 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 4.101 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 4.101 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 4.101 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 4.101 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 4.102 * [backup-simplify]: Simplify (- 0) into 0 4.102 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 4.102 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 4.102 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 4.102 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 4.102 * [taylor]: Taking taylor expansion of 1/2 in U 4.102 * [backup-simplify]: Simplify 1/2 into 1/2 4.102 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 4.102 * [taylor]: Taking taylor expansion of J in U 4.102 * [backup-simplify]: Simplify J into J 4.102 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 4.102 * [taylor]: Taking taylor expansion of U in U 4.102 * [backup-simplify]: Simplify 0 into 0 4.102 * [backup-simplify]: Simplify 1 into 1 4.102 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 4.102 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 4.102 * [taylor]: Taking taylor expansion of 1/2 in U 4.102 * [backup-simplify]: Simplify 1/2 into 1/2 4.102 * [taylor]: Taking taylor expansion of K in U 4.102 * [backup-simplify]: Simplify K into K 4.102 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 4.103 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 4.103 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 4.103 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 4.103 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 4.103 * [backup-simplify]: Simplify (- 0) into 0 4.103 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 4.103 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 4.104 * [backup-simplify]: Simplify (+ 0) into 0 4.104 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 4.104 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 4.105 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.106 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 4.106 * [backup-simplify]: Simplify (- 0) into 0 4.106 * [backup-simplify]: Simplify (+ 0 0) into 0 4.109 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 4.109 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 4.109 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 4.109 * [taylor]: Taking taylor expansion of 1/2 in U 4.109 * [backup-simplify]: Simplify 1/2 into 1/2 4.109 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 4.109 * [taylor]: Taking taylor expansion of J in U 4.109 * [backup-simplify]: Simplify J into J 4.109 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 4.109 * [taylor]: Taking taylor expansion of U in U 4.109 * [backup-simplify]: Simplify 0 into 0 4.109 * [backup-simplify]: Simplify 1 into 1 4.109 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 4.109 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 4.109 * [taylor]: Taking taylor expansion of 1/2 in U 4.109 * [backup-simplify]: Simplify 1/2 into 1/2 4.109 * [taylor]: Taking taylor expansion of K in U 4.109 * [backup-simplify]: Simplify K into K 4.109 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 4.109 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 4.109 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 4.109 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 4.109 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 4.110 * [backup-simplify]: Simplify (- 0) into 0 4.110 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 4.110 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 4.111 * [backup-simplify]: Simplify (+ 0) into 0 4.111 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 4.111 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 4.112 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.112 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 4.113 * [backup-simplify]: Simplify (- 0) into 0 4.113 * [backup-simplify]: Simplify (+ 0 0) into 0 4.114 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 4.114 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 4.114 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 4.114 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 4.114 * [taylor]: Taking taylor expansion of 1/2 in J 4.114 * [backup-simplify]: Simplify 1/2 into 1/2 4.114 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 4.114 * [taylor]: Taking taylor expansion of J in J 4.114 * [backup-simplify]: Simplify 0 into 0 4.114 * [backup-simplify]: Simplify 1 into 1 4.114 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 4.114 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 4.114 * [taylor]: Taking taylor expansion of 1/2 in J 4.114 * [backup-simplify]: Simplify 1/2 into 1/2 4.114 * [taylor]: Taking taylor expansion of K in J 4.114 * [backup-simplify]: Simplify K into K 4.114 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 4.114 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 4.114 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 4.115 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 4.115 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 4.115 * [backup-simplify]: Simplify (- 0) into 0 4.115 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 4.115 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 4.115 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 4.115 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K 4.115 * [taylor]: Taking taylor expansion of 1/2 in K 4.115 * [backup-simplify]: Simplify 1/2 into 1/2 4.115 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 4.115 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 4.115 * [taylor]: Taking taylor expansion of 1/2 in K 4.115 * [backup-simplify]: Simplify 1/2 into 1/2 4.115 * [taylor]: Taking taylor expansion of K in K 4.116 * [backup-simplify]: Simplify 0 into 0 4.116 * [backup-simplify]: Simplify 1 into 1 4.116 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.116 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 4.116 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 4.116 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 4.117 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.118 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 4.118 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 4.119 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.119 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 4.120 * [backup-simplify]: Simplify (- 0) into 0 4.120 * [backup-simplify]: Simplify (+ 0 0) into 0 4.121 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 4.121 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 4.122 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 4.122 * [taylor]: Taking taylor expansion of 0 in J 4.122 * [backup-simplify]: Simplify 0 into 0 4.122 * [taylor]: Taking taylor expansion of 0 in K 4.122 * [backup-simplify]: Simplify 0 into 0 4.122 * [backup-simplify]: Simplify 0 into 0 4.122 * [backup-simplify]: Simplify (+ 0) into 0 4.123 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 4.123 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 4.124 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.124 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 4.125 * [backup-simplify]: Simplify (- 0) into 0 4.125 * [backup-simplify]: Simplify (+ 0 0) into 0 4.125 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 4.126 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 4.126 * [taylor]: Taking taylor expansion of 0 in K 4.126 * [backup-simplify]: Simplify 0 into 0 4.126 * [backup-simplify]: Simplify 0 into 0 4.126 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 4.126 * [backup-simplify]: Simplify 0 into 0 4.127 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.128 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.128 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 4.130 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 4.130 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 4.131 * [backup-simplify]: Simplify (- 0) into 0 4.131 * [backup-simplify]: Simplify (+ 0 0) into 0 4.132 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 4.133 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 4.134 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 4.134 * [taylor]: Taking taylor expansion of 0 in J 4.134 * [backup-simplify]: Simplify 0 into 0 4.134 * [taylor]: Taking taylor expansion of 0 in K 4.134 * [backup-simplify]: Simplify 0 into 0 4.134 * [backup-simplify]: Simplify 0 into 0 4.134 * [taylor]: Taking taylor expansion of 0 in K 4.134 * [backup-simplify]: Simplify 0 into 0 4.134 * [backup-simplify]: Simplify 0 into 0 4.135 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.135 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 4.136 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 4.136 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.137 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 4.137 * [backup-simplify]: Simplify (- 0) into 0 4.138 * [backup-simplify]: Simplify (+ 0 0) into 0 4.138 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 4.139 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0 4.139 * [taylor]: Taking taylor expansion of 0 in K 4.139 * [backup-simplify]: Simplify 0 into 0 4.139 * [backup-simplify]: Simplify 0 into 0 4.139 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 4.140 * [backup-simplify]: Simplify (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 4.140 * [approximate]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in (U J K) around 0 4.140 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 4.140 * [taylor]: Taking taylor expansion of 1/2 in K 4.140 * [backup-simplify]: Simplify 1/2 into 1/2 4.140 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 4.140 * [taylor]: Taking taylor expansion of J in K 4.140 * [backup-simplify]: Simplify J into J 4.140 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 4.140 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 4.140 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 4.140 * [taylor]: Taking taylor expansion of -1/2 in K 4.140 * [backup-simplify]: Simplify -1/2 into -1/2 4.140 * [taylor]: Taking taylor expansion of K in K 4.140 * [backup-simplify]: Simplify 0 into 0 4.140 * [backup-simplify]: Simplify 1 into 1 4.140 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 4.140 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 4.140 * [taylor]: Taking taylor expansion of U in K 4.140 * [backup-simplify]: Simplify U into U 4.141 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 4.141 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 4.141 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 4.141 * [taylor]: Taking taylor expansion of 1/2 in J 4.141 * [backup-simplify]: Simplify 1/2 into 1/2 4.141 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 4.141 * [taylor]: Taking taylor expansion of J in J 4.141 * [backup-simplify]: Simplify 0 into 0 4.141 * [backup-simplify]: Simplify 1 into 1 4.141 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 4.141 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 4.141 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 4.141 * [taylor]: Taking taylor expansion of -1/2 in J 4.141 * [backup-simplify]: Simplify -1/2 into -1/2 4.141 * [taylor]: Taking taylor expansion of K in J 4.141 * [backup-simplify]: Simplify K into K 4.141 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 4.141 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 4.141 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 4.141 * [taylor]: Taking taylor expansion of U in J 4.141 * [backup-simplify]: Simplify U into U 4.141 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 4.141 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 4.142 * [backup-simplify]: Simplify (- 0) into 0 4.142 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 4.142 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 4.142 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 4.142 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 4.142 * [taylor]: Taking taylor expansion of 1/2 in U 4.142 * [backup-simplify]: Simplify 1/2 into 1/2 4.142 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 4.142 * [taylor]: Taking taylor expansion of J in U 4.142 * [backup-simplify]: Simplify J into J 4.142 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 4.142 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 4.142 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 4.142 * [taylor]: Taking taylor expansion of -1/2 in U 4.142 * [backup-simplify]: Simplify -1/2 into -1/2 4.142 * [taylor]: Taking taylor expansion of K in U 4.142 * [backup-simplify]: Simplify K into K 4.143 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 4.143 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 4.143 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 4.143 * [taylor]: Taking taylor expansion of U in U 4.143 * [backup-simplify]: Simplify 0 into 0 4.143 * [backup-simplify]: Simplify 1 into 1 4.143 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 4.143 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 4.143 * [backup-simplify]: Simplify (- 0) into 0 4.143 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 4.144 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 4.144 * [backup-simplify]: Simplify (+ 0) into 0 4.145 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 4.145 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 4.146 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.146 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 4.147 * [backup-simplify]: Simplify (- 0) into 0 4.147 * [backup-simplify]: Simplify (+ 0 0) into 0 4.148 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 4.148 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 4.148 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 4.148 * [taylor]: Taking taylor expansion of 1/2 in U 4.148 * [backup-simplify]: Simplify 1/2 into 1/2 4.148 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 4.148 * [taylor]: Taking taylor expansion of J in U 4.148 * [backup-simplify]: Simplify J into J 4.148 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 4.148 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 4.148 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 4.148 * [taylor]: Taking taylor expansion of -1/2 in U 4.148 * [backup-simplify]: Simplify -1/2 into -1/2 4.148 * [taylor]: Taking taylor expansion of K in U 4.148 * [backup-simplify]: Simplify K into K 4.148 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 4.148 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 4.148 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 4.148 * [taylor]: Taking taylor expansion of U in U 4.148 * [backup-simplify]: Simplify 0 into 0 4.148 * [backup-simplify]: Simplify 1 into 1 4.148 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 4.149 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 4.149 * [backup-simplify]: Simplify (- 0) into 0 4.149 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 4.149 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 4.149 * [backup-simplify]: Simplify (+ 0) into 0 4.150 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 4.150 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 4.151 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.151 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 4.152 * [backup-simplify]: Simplify (- 0) into 0 4.152 * [backup-simplify]: Simplify (+ 0 0) into 0 4.152 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 4.153 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 4.153 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 4.153 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 4.153 * [taylor]: Taking taylor expansion of 1/2 in J 4.153 * [backup-simplify]: Simplify 1/2 into 1/2 4.153 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 4.153 * [taylor]: Taking taylor expansion of J in J 4.153 * [backup-simplify]: Simplify 0 into 0 4.153 * [backup-simplify]: Simplify 1 into 1 4.153 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 4.153 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 4.153 * [taylor]: Taking taylor expansion of -1/2 in J 4.153 * [backup-simplify]: Simplify -1/2 into -1/2 4.153 * [taylor]: Taking taylor expansion of K in J 4.153 * [backup-simplify]: Simplify K into K 4.153 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 4.153 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 4.153 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 4.153 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 4.153 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 4.154 * [backup-simplify]: Simplify (- 0) into 0 4.154 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 4.154 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 4.154 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 4.154 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K 4.154 * [taylor]: Taking taylor expansion of 1/2 in K 4.154 * [backup-simplify]: Simplify 1/2 into 1/2 4.154 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 4.154 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 4.154 * [taylor]: Taking taylor expansion of -1/2 in K 4.154 * [backup-simplify]: Simplify -1/2 into -1/2 4.154 * [taylor]: Taking taylor expansion of K in K 4.154 * [backup-simplify]: Simplify 0 into 0 4.154 * [backup-simplify]: Simplify 1 into 1 4.155 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 4.155 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 4.155 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 4.155 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 4.156 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.157 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 4.157 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 4.158 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.158 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 4.159 * [backup-simplify]: Simplify (- 0) into 0 4.159 * [backup-simplify]: Simplify (+ 0 0) into 0 4.160 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 4.160 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 4.160 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 4.161 * [taylor]: Taking taylor expansion of 0 in J 4.161 * [backup-simplify]: Simplify 0 into 0 4.161 * [taylor]: Taking taylor expansion of 0 in K 4.161 * [backup-simplify]: Simplify 0 into 0 4.161 * [backup-simplify]: Simplify 0 into 0 4.161 * [backup-simplify]: Simplify (+ 0) into 0 4.162 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 4.162 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 4.162 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.163 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 4.163 * [backup-simplify]: Simplify (- 0) into 0 4.164 * [backup-simplify]: Simplify (+ 0 0) into 0 4.164 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 4.164 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 4.164 * [taylor]: Taking taylor expansion of 0 in K 4.165 * [backup-simplify]: Simplify 0 into 0 4.165 * [backup-simplify]: Simplify 0 into 0 4.165 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 4.165 * [backup-simplify]: Simplify 0 into 0 4.166 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.167 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.167 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 4.168 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 4.169 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 4.169 * [backup-simplify]: Simplify (- 0) into 0 4.169 * [backup-simplify]: Simplify (+ 0 0) into 0 4.170 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.170 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 4.171 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 4.171 * [taylor]: Taking taylor expansion of 0 in J 4.171 * [backup-simplify]: Simplify 0 into 0 4.171 * [taylor]: Taking taylor expansion of 0 in K 4.171 * [backup-simplify]: Simplify 0 into 0 4.171 * [backup-simplify]: Simplify 0 into 0 4.171 * [taylor]: Taking taylor expansion of 0 in K 4.171 * [backup-simplify]: Simplify 0 into 0 4.171 * [backup-simplify]: Simplify 0 into 0 4.171 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.172 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 4.172 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 4.172 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.173 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 4.173 * [backup-simplify]: Simplify (- 0) into 0 4.173 * [backup-simplify]: Simplify (+ 0 0) into 0 4.173 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 4.174 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1/2 K)))))) into 0 4.174 * [taylor]: Taking taylor expansion of 0 in K 4.174 * [backup-simplify]: Simplify 0 into 0 4.174 * [backup-simplify]: Simplify 0 into 0 4.174 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 4.174 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 2) 4.175 * [backup-simplify]: Simplify (* (* 2 J) (cos (/ K 2))) into (* 2 (* (cos (* 1/2 K)) J)) 4.175 * [approximate]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in (J K) around 0 4.175 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in K 4.175 * [taylor]: Taking taylor expansion of 2 in K 4.175 * [backup-simplify]: Simplify 2 into 2 4.175 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 4.175 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 4.175 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 4.175 * [taylor]: Taking taylor expansion of 1/2 in K 4.175 * [backup-simplify]: Simplify 1/2 into 1/2 4.175 * [taylor]: Taking taylor expansion of K in K 4.175 * [backup-simplify]: Simplify 0 into 0 4.175 * [backup-simplify]: Simplify 1 into 1 4.175 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.176 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.176 * [taylor]: Taking taylor expansion of J in K 4.176 * [backup-simplify]: Simplify J into J 4.176 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in J 4.176 * [taylor]: Taking taylor expansion of 2 in J 4.176 * [backup-simplify]: Simplify 2 into 2 4.176 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 4.176 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 4.176 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 4.176 * [taylor]: Taking taylor expansion of 1/2 in J 4.176 * [backup-simplify]: Simplify 1/2 into 1/2 4.176 * [taylor]: Taking taylor expansion of K in J 4.176 * [backup-simplify]: Simplify K into K 4.176 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 4.176 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 4.176 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 4.176 * [taylor]: Taking taylor expansion of J in J 4.176 * [backup-simplify]: Simplify 0 into 0 4.176 * [backup-simplify]: Simplify 1 into 1 4.176 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in J 4.176 * [taylor]: Taking taylor expansion of 2 in J 4.176 * [backup-simplify]: Simplify 2 into 2 4.176 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 4.176 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 4.176 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 4.176 * [taylor]: Taking taylor expansion of 1/2 in J 4.176 * [backup-simplify]: Simplify 1/2 into 1/2 4.176 * [taylor]: Taking taylor expansion of K in J 4.176 * [backup-simplify]: Simplify K into K 4.176 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 4.176 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 4.176 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 4.176 * [taylor]: Taking taylor expansion of J in J 4.176 * [backup-simplify]: Simplify 0 into 0 4.176 * [backup-simplify]: Simplify 1 into 1 4.176 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 4.177 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 4.177 * [backup-simplify]: Simplify (- 0) into 0 4.177 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 4.177 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 4.177 * [backup-simplify]: Simplify (* 2 0) into 0 4.177 * [taylor]: Taking taylor expansion of 0 in K 4.177 * [backup-simplify]: Simplify 0 into 0 4.177 * [backup-simplify]: Simplify 0 into 0 4.177 * [backup-simplify]: Simplify (+ 0) into 0 4.178 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 4.178 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 4.179 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.179 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 4.179 * [backup-simplify]: Simplify (- 0) into 0 4.179 * [backup-simplify]: Simplify (+ 0 0) into 0 4.180 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 4.180 * [backup-simplify]: Simplify (+ (* 2 (cos (* 1/2 K))) (* 0 0)) into (* 2 (cos (* 1/2 K))) 4.180 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K 4.180 * [taylor]: Taking taylor expansion of 2 in K 4.180 * [backup-simplify]: Simplify 2 into 2 4.180 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 4.180 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 4.180 * [taylor]: Taking taylor expansion of 1/2 in K 4.180 * [backup-simplify]: Simplify 1/2 into 1/2 4.180 * [taylor]: Taking taylor expansion of K in K 4.180 * [backup-simplify]: Simplify 0 into 0 4.180 * [backup-simplify]: Simplify 1 into 1 4.180 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.181 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.181 * [backup-simplify]: Simplify (* 2 1) into 2 4.181 * [backup-simplify]: Simplify 2 into 2 4.181 * [backup-simplify]: Simplify 0 into 0 4.182 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.182 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 4.183 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 4.183 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.183 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 4.184 * [backup-simplify]: Simplify (- 0) into 0 4.184 * [backup-simplify]: Simplify (+ 0 0) into 0 4.184 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 4.185 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0 4.185 * [taylor]: Taking taylor expansion of 0 in K 4.185 * [backup-simplify]: Simplify 0 into 0 4.185 * [backup-simplify]: Simplify 0 into 0 4.185 * [backup-simplify]: Simplify (+ 0) into 0 4.186 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.186 * [backup-simplify]: Simplify 0 into 0 4.186 * [backup-simplify]: Simplify 0 into 0 4.187 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.187 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.188 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 4.189 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 4.189 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 4.189 * [backup-simplify]: Simplify (- 0) into 0 4.190 * [backup-simplify]: Simplify (+ 0 0) into 0 4.190 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.191 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0)))) into 0 4.191 * [taylor]: Taking taylor expansion of 0 in K 4.191 * [backup-simplify]: Simplify 0 into 0 4.191 * [backup-simplify]: Simplify 0 into 0 4.191 * [backup-simplify]: Simplify 0 into 0 4.191 * [backup-simplify]: Simplify (* 2 (* 1 J)) into (* 2 J) 4.191 * [backup-simplify]: Simplify (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) into (* 2 (/ (cos (/ 1/2 K)) J)) 4.191 * [approximate]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in (J K) around 0 4.191 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in K 4.191 * [taylor]: Taking taylor expansion of 2 in K 4.191 * [backup-simplify]: Simplify 2 into 2 4.191 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 4.191 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 4.191 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 4.191 * [taylor]: Taking taylor expansion of 1/2 in K 4.191 * [backup-simplify]: Simplify 1/2 into 1/2 4.191 * [taylor]: Taking taylor expansion of K in K 4.191 * [backup-simplify]: Simplify 0 into 0 4.191 * [backup-simplify]: Simplify 1 into 1 4.192 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.192 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 4.192 * [taylor]: Taking taylor expansion of J in K 4.192 * [backup-simplify]: Simplify J into J 4.192 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 4.192 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in J 4.192 * [taylor]: Taking taylor expansion of 2 in J 4.192 * [backup-simplify]: Simplify 2 into 2 4.192 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 4.192 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 4.192 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 4.192 * [taylor]: Taking taylor expansion of 1/2 in J 4.192 * [backup-simplify]: Simplify 1/2 into 1/2 4.192 * [taylor]: Taking taylor expansion of K in J 4.192 * [backup-simplify]: Simplify K into K 4.192 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 4.192 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 4.192 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 4.192 * [taylor]: Taking taylor expansion of J in J 4.192 * [backup-simplify]: Simplify 0 into 0 4.192 * [backup-simplify]: Simplify 1 into 1 4.192 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 4.192 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 4.193 * [backup-simplify]: Simplify (- 0) into 0 4.193 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 4.193 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 4.193 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in J 4.193 * [taylor]: Taking taylor expansion of 2 in J 4.193 * [backup-simplify]: Simplify 2 into 2 4.193 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 4.193 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 4.193 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 4.193 * [taylor]: Taking taylor expansion of 1/2 in J 4.193 * [backup-simplify]: Simplify 1/2 into 1/2 4.193 * [taylor]: Taking taylor expansion of K in J 4.193 * [backup-simplify]: Simplify K into K 4.193 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 4.193 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 4.193 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 4.193 * [taylor]: Taking taylor expansion of J in J 4.193 * [backup-simplify]: Simplify 0 into 0 4.193 * [backup-simplify]: Simplify 1 into 1 4.193 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 4.193 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 4.193 * [backup-simplify]: Simplify (- 0) into 0 4.193 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 4.193 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 4.194 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) 4.194 * [taylor]: Taking taylor expansion of (* 2 (cos (/ 1/2 K))) in K 4.194 * [taylor]: Taking taylor expansion of 2 in K 4.194 * [backup-simplify]: Simplify 2 into 2 4.194 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 4.194 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 4.194 * [taylor]: Taking taylor expansion of 1/2 in K 4.194 * [backup-simplify]: Simplify 1/2 into 1/2 4.194 * [taylor]: Taking taylor expansion of K in K 4.194 * [backup-simplify]: Simplify 0 into 0 4.194 * [backup-simplify]: Simplify 1 into 1 4.194 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.194 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 4.194 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) 4.195 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) 4.195 * [backup-simplify]: Simplify (+ 0) into 0 4.195 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 4.195 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 4.196 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.196 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 4.196 * [backup-simplify]: Simplify (- 0) into 0 4.197 * [backup-simplify]: Simplify (+ 0 0) into 0 4.197 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 4.198 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0 4.198 * [taylor]: Taking taylor expansion of 0 in K 4.198 * [backup-simplify]: Simplify 0 into 0 4.198 * [backup-simplify]: Simplify 0 into 0 4.199 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0 4.199 * [backup-simplify]: Simplify 0 into 0 4.200 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.200 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 4.200 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 4.201 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.202 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 4.202 * [backup-simplify]: Simplify (- 0) into 0 4.203 * [backup-simplify]: Simplify (+ 0 0) into 0 4.204 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.205 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 4.205 * [taylor]: Taking taylor expansion of 0 in K 4.205 * [backup-simplify]: Simplify 0 into 0 4.205 * [backup-simplify]: Simplify 0 into 0 4.205 * [backup-simplify]: Simplify 0 into 0 4.206 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 4.206 * [backup-simplify]: Simplify 0 into 0 4.207 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.208 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.208 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 4.209 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 4.210 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 4.211 * [backup-simplify]: Simplify (- 0) into 0 4.211 * [backup-simplify]: Simplify (+ 0 0) into 0 4.213 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.214 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 4.214 * [taylor]: Taking taylor expansion of 0 in K 4.214 * [backup-simplify]: Simplify 0 into 0 4.214 * [backup-simplify]: Simplify 0 into 0 4.214 * [backup-simplify]: Simplify (* (* 2 (cos (/ 1/2 (/ 1 K)))) (* 1 (/ 1 (/ 1 J)))) into (* 2 (* (cos (* 1/2 K)) J)) 4.215 * [backup-simplify]: Simplify (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) into (* -2 (/ (cos (/ -1/2 K)) J)) 4.215 * [approximate]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in (J K) around 0 4.215 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in K 4.215 * [taylor]: Taking taylor expansion of -2 in K 4.215 * [backup-simplify]: Simplify -2 into -2 4.215 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 4.215 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 4.215 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 4.215 * [taylor]: Taking taylor expansion of -1/2 in K 4.215 * [backup-simplify]: Simplify -1/2 into -1/2 4.215 * [taylor]: Taking taylor expansion of K in K 4.215 * [backup-simplify]: Simplify 0 into 0 4.215 * [backup-simplify]: Simplify 1 into 1 4.215 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 4.216 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 4.216 * [taylor]: Taking taylor expansion of J in K 4.216 * [backup-simplify]: Simplify J into J 4.216 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 4.216 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in J 4.216 * [taylor]: Taking taylor expansion of -2 in J 4.216 * [backup-simplify]: Simplify -2 into -2 4.216 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 4.216 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 4.216 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 4.216 * [taylor]: Taking taylor expansion of -1/2 in J 4.216 * [backup-simplify]: Simplify -1/2 into -1/2 4.216 * [taylor]: Taking taylor expansion of K in J 4.216 * [backup-simplify]: Simplify K into K 4.216 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 4.216 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 4.216 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 4.216 * [taylor]: Taking taylor expansion of J in J 4.216 * [backup-simplify]: Simplify 0 into 0 4.216 * [backup-simplify]: Simplify 1 into 1 4.216 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 4.217 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 4.217 * [backup-simplify]: Simplify (- 0) into 0 4.217 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 4.217 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 4.217 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in J 4.217 * [taylor]: Taking taylor expansion of -2 in J 4.217 * [backup-simplify]: Simplify -2 into -2 4.217 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 4.217 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 4.217 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 4.217 * [taylor]: Taking taylor expansion of -1/2 in J 4.217 * [backup-simplify]: Simplify -1/2 into -1/2 4.217 * [taylor]: Taking taylor expansion of K in J 4.217 * [backup-simplify]: Simplify K into K 4.217 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 4.218 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 4.218 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 4.218 * [taylor]: Taking taylor expansion of J in J 4.218 * [backup-simplify]: Simplify 0 into 0 4.218 * [backup-simplify]: Simplify 1 into 1 4.218 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 4.218 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 4.218 * [backup-simplify]: Simplify (- 0) into 0 4.218 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 4.218 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 4.219 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) 4.219 * [taylor]: Taking taylor expansion of (* -2 (cos (/ -1/2 K))) in K 4.219 * [taylor]: Taking taylor expansion of -2 in K 4.219 * [backup-simplify]: Simplify -2 into -2 4.219 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 4.219 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 4.219 * [taylor]: Taking taylor expansion of -1/2 in K 4.219 * [backup-simplify]: Simplify -1/2 into -1/2 4.219 * [taylor]: Taking taylor expansion of K in K 4.219 * [backup-simplify]: Simplify 0 into 0 4.219 * [backup-simplify]: Simplify 1 into 1 4.219 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 4.219 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 4.220 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) 4.220 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) 4.220 * [backup-simplify]: Simplify (+ 0) into 0 4.221 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 4.221 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 4.222 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.222 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 4.222 * [backup-simplify]: Simplify (- 0) into 0 4.223 * [backup-simplify]: Simplify (+ 0 0) into 0 4.224 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 4.224 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0 4.224 * [taylor]: Taking taylor expansion of 0 in K 4.224 * [backup-simplify]: Simplify 0 into 0 4.224 * [backup-simplify]: Simplify 0 into 0 4.225 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0 4.225 * [backup-simplify]: Simplify 0 into 0 4.226 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.226 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 4.227 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 4.227 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.228 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 4.228 * [backup-simplify]: Simplify (- 0) into 0 4.229 * [backup-simplify]: Simplify (+ 0 0) into 0 4.230 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.231 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 4.231 * [taylor]: Taking taylor expansion of 0 in K 4.231 * [backup-simplify]: Simplify 0 into 0 4.231 * [backup-simplify]: Simplify 0 into 0 4.231 * [backup-simplify]: Simplify 0 into 0 4.232 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 4.232 * [backup-simplify]: Simplify 0 into 0 4.233 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.234 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.234 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 4.236 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 4.236 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 4.237 * [backup-simplify]: Simplify (- 0) into 0 4.237 * [backup-simplify]: Simplify (+ 0 0) into 0 4.241 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.242 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 4.242 * [taylor]: Taking taylor expansion of 0 in K 4.242 * [backup-simplify]: Simplify 0 into 0 4.242 * [backup-simplify]: Simplify 0 into 0 4.243 * [backup-simplify]: Simplify (* (* -2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (/ 1 (/ 1 (- J))))) into (* 2 (* (cos (* 1/2 K)) J)) 4.243 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 4.243 * [backup-simplify]: Simplify (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (cos (/ K 2))) into (* (cos (* 1/2 K)) (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) 4.243 * [approximate]: Taking taylor expansion of (* (cos (* 1/2 K)) (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in (U J K) around 0 4.243 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in K 4.243 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 4.243 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 4.243 * [taylor]: Taking taylor expansion of 1/2 in K 4.243 * [backup-simplify]: Simplify 1/2 into 1/2 4.243 * [taylor]: Taking taylor expansion of K in K 4.243 * [backup-simplify]: Simplify 0 into 0 4.243 * [backup-simplify]: Simplify 1 into 1 4.244 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.245 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.245 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 4.245 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 4.245 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in K 4.245 * [taylor]: Taking taylor expansion of (* 1 1) in K 4.245 * [taylor]: Taking taylor expansion of 1 in K 4.245 * [backup-simplify]: Simplify 1 into 1 4.245 * [taylor]: Taking taylor expansion of 1 in K 4.245 * [backup-simplify]: Simplify 1 into 1 4.245 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 4.245 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 4.245 * [taylor]: Taking taylor expansion of 1/2 in K 4.245 * [backup-simplify]: Simplify 1/2 into 1/2 4.245 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 4.245 * [taylor]: Taking taylor expansion of U in K 4.245 * [backup-simplify]: Simplify U into U 4.245 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 4.245 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 4.245 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 4.245 * [taylor]: Taking taylor expansion of 1/2 in K 4.245 * [backup-simplify]: Simplify 1/2 into 1/2 4.245 * [taylor]: Taking taylor expansion of K in K 4.245 * [backup-simplify]: Simplify 0 into 0 4.245 * [backup-simplify]: Simplify 1 into 1 4.246 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.247 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.247 * [taylor]: Taking taylor expansion of J in K 4.247 * [backup-simplify]: Simplify J into J 4.247 * [backup-simplify]: Simplify (* 1 J) into J 4.247 * [backup-simplify]: Simplify (/ U J) into (/ U J) 4.247 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 4.247 * [taylor]: Taking taylor expansion of 1/2 in K 4.247 * [backup-simplify]: Simplify 1/2 into 1/2 4.247 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 4.247 * [taylor]: Taking taylor expansion of U in K 4.247 * [backup-simplify]: Simplify U into U 4.247 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 4.247 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 4.247 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 4.247 * [taylor]: Taking taylor expansion of 1/2 in K 4.247 * [backup-simplify]: Simplify 1/2 into 1/2 4.247 * [taylor]: Taking taylor expansion of K in K 4.247 * [backup-simplify]: Simplify 0 into 0 4.247 * [backup-simplify]: Simplify 1 into 1 4.248 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.248 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.249 * [taylor]: Taking taylor expansion of J in K 4.249 * [backup-simplify]: Simplify J into J 4.249 * [backup-simplify]: Simplify (* 1 J) into J 4.249 * [backup-simplify]: Simplify (/ U J) into (/ U J) 4.249 * [backup-simplify]: Simplify (* 1 1) into 1 4.249 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 4.249 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 4.249 * [backup-simplify]: Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2))) 4.250 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 4.250 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 4.251 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.251 * [backup-simplify]: Simplify (+ 0) into 0 4.251 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 4.252 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 4.252 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 4.252 * [backup-simplify]: Simplify (+ 0) into 0 4.253 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 4.253 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 4.253 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 4.253 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))) into 0 4.253 * [backup-simplify]: Simplify (+ 0 0) into 0 4.254 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 4.254 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in J 4.254 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 4.254 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 4.254 * [taylor]: Taking taylor expansion of 1/2 in J 4.254 * [backup-simplify]: Simplify 1/2 into 1/2 4.254 * [taylor]: Taking taylor expansion of K in J 4.254 * [backup-simplify]: Simplify K into K 4.254 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 4.254 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 4.254 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 4.254 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 4.254 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 4.254 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in J 4.254 * [taylor]: Taking taylor expansion of (* 1 1) in J 4.254 * [taylor]: Taking taylor expansion of 1 in J 4.254 * [backup-simplify]: Simplify 1 into 1 4.254 * [taylor]: Taking taylor expansion of 1 in J 4.254 * [backup-simplify]: Simplify 1 into 1 4.254 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 4.254 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 4.254 * [taylor]: Taking taylor expansion of 1/2 in J 4.254 * [backup-simplify]: Simplify 1/2 into 1/2 4.254 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 4.254 * [taylor]: Taking taylor expansion of U in J 4.254 * [backup-simplify]: Simplify U into U 4.254 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 4.254 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 4.254 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 4.254 * [taylor]: Taking taylor expansion of 1/2 in J 4.254 * [backup-simplify]: Simplify 1/2 into 1/2 4.254 * [taylor]: Taking taylor expansion of K in J 4.254 * [backup-simplify]: Simplify K into K 4.254 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 4.254 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 4.254 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 4.254 * [taylor]: Taking taylor expansion of J in J 4.254 * [backup-simplify]: Simplify 0 into 0 4.255 * [backup-simplify]: Simplify 1 into 1 4.255 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 4.255 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 4.255 * [backup-simplify]: Simplify (- 0) into 0 4.255 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 4.255 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 4.255 * [backup-simplify]: Simplify (+ 0) into 0 4.256 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 4.256 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 4.256 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.257 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 4.257 * [backup-simplify]: Simplify (- 0) into 0 4.257 * [backup-simplify]: Simplify (+ 0 0) into 0 4.257 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 4.257 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 4.257 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 4.257 * [taylor]: Taking taylor expansion of 1/2 in J 4.258 * [backup-simplify]: Simplify 1/2 into 1/2 4.258 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 4.258 * [taylor]: Taking taylor expansion of U in J 4.258 * [backup-simplify]: Simplify U into U 4.258 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 4.258 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 4.258 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 4.258 * [taylor]: Taking taylor expansion of 1/2 in J 4.258 * [backup-simplify]: Simplify 1/2 into 1/2 4.258 * [taylor]: Taking taylor expansion of K in J 4.258 * [backup-simplify]: Simplify K into K 4.258 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 4.258 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 4.258 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 4.258 * [taylor]: Taking taylor expansion of J in J 4.258 * [backup-simplify]: Simplify 0 into 0 4.258 * [backup-simplify]: Simplify 1 into 1 4.258 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 4.258 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 4.258 * [backup-simplify]: Simplify (- 0) into 0 4.258 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 4.258 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 4.259 * [backup-simplify]: Simplify (+ 0) into 0 4.259 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 4.259 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 4.260 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.260 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 4.260 * [backup-simplify]: Simplify (- 0) into 0 4.260 * [backup-simplify]: Simplify (+ 0 0) into 0 4.261 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 4.261 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 4.261 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 4.261 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 4.261 * [backup-simplify]: Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 4.261 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 4.261 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 4.262 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.262 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 4.263 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 4.263 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.264 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 4.264 * [backup-simplify]: Simplify (- 0) into 0 4.264 * [backup-simplify]: Simplify (+ 0 0) into 0 4.264 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 4.265 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 4.265 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 4.265 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.266 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 4.266 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 4.267 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.267 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 4.267 * [backup-simplify]: Simplify (- 0) into 0 4.268 * [backup-simplify]: Simplify (+ 0 0) into 0 4.268 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 4.268 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 4.269 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 4.269 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0 4.269 * [backup-simplify]: Simplify (+ 0 0) into 0 4.269 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 4.269 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 4.269 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 4.269 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 4.269 * [taylor]: Taking taylor expansion of 1/2 in U 4.269 * [backup-simplify]: Simplify 1/2 into 1/2 4.269 * [taylor]: Taking taylor expansion of K in U 4.269 * [backup-simplify]: Simplify K into K 4.269 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 4.269 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 4.269 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 4.269 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 4.270 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 4.270 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 4.270 * [taylor]: Taking taylor expansion of (* 1 1) in U 4.270 * [taylor]: Taking taylor expansion of 1 in U 4.270 * [backup-simplify]: Simplify 1 into 1 4.270 * [taylor]: Taking taylor expansion of 1 in U 4.270 * [backup-simplify]: Simplify 1 into 1 4.270 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 4.270 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 4.270 * [taylor]: Taking taylor expansion of 1/2 in U 4.270 * [backup-simplify]: Simplify 1/2 into 1/2 4.270 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 4.270 * [taylor]: Taking taylor expansion of U in U 4.270 * [backup-simplify]: Simplify 0 into 0 4.270 * [backup-simplify]: Simplify 1 into 1 4.270 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 4.270 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 4.270 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 4.270 * [taylor]: Taking taylor expansion of 1/2 in U 4.270 * [backup-simplify]: Simplify 1/2 into 1/2 4.270 * [taylor]: Taking taylor expansion of K in U 4.270 * [backup-simplify]: Simplify K into K 4.270 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 4.270 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 4.270 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 4.270 * [taylor]: Taking taylor expansion of J in U 4.270 * [backup-simplify]: Simplify J into J 4.270 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 4.270 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 4.270 * [backup-simplify]: Simplify (- 0) into 0 4.270 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 4.270 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 4.271 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 4.271 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 4.271 * [taylor]: Taking taylor expansion of 1/2 in U 4.271 * [backup-simplify]: Simplify 1/2 into 1/2 4.271 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 4.271 * [taylor]: Taking taylor expansion of U in U 4.271 * [backup-simplify]: Simplify 0 into 0 4.271 * [backup-simplify]: Simplify 1 into 1 4.271 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 4.271 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 4.271 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 4.271 * [taylor]: Taking taylor expansion of 1/2 in U 4.271 * [backup-simplify]: Simplify 1/2 into 1/2 4.271 * [taylor]: Taking taylor expansion of K in U 4.271 * [backup-simplify]: Simplify K into K 4.271 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 4.271 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 4.271 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 4.271 * [taylor]: Taking taylor expansion of J in U 4.271 * [backup-simplify]: Simplify J into J 4.271 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 4.271 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 4.271 * [backup-simplify]: Simplify (- 0) into 0 4.271 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 4.271 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 4.271 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 4.272 * [backup-simplify]: Simplify (* 1 1) into 1 4.272 * [backup-simplify]: Simplify (+ 1 0) into 1 4.272 * [backup-simplify]: Simplify (sqrt 1) into 1 4.273 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.273 * [backup-simplify]: Simplify (+ 0 0) into 0 4.274 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.274 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 4.274 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 4.274 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 4.274 * [taylor]: Taking taylor expansion of 1/2 in U 4.274 * [backup-simplify]: Simplify 1/2 into 1/2 4.274 * [taylor]: Taking taylor expansion of K in U 4.274 * [backup-simplify]: Simplify K into K 4.274 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 4.274 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 4.274 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 4.274 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 4.274 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 4.274 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 4.274 * [taylor]: Taking taylor expansion of (* 1 1) in U 4.275 * [taylor]: Taking taylor expansion of 1 in U 4.275 * [backup-simplify]: Simplify 1 into 1 4.275 * [taylor]: Taking taylor expansion of 1 in U 4.275 * [backup-simplify]: Simplify 1 into 1 4.275 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 4.275 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 4.275 * [taylor]: Taking taylor expansion of 1/2 in U 4.275 * [backup-simplify]: Simplify 1/2 into 1/2 4.275 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 4.275 * [taylor]: Taking taylor expansion of U in U 4.275 * [backup-simplify]: Simplify 0 into 0 4.275 * [backup-simplify]: Simplify 1 into 1 4.275 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 4.275 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 4.275 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 4.275 * [taylor]: Taking taylor expansion of 1/2 in U 4.275 * [backup-simplify]: Simplify 1/2 into 1/2 4.275 * [taylor]: Taking taylor expansion of K in U 4.275 * [backup-simplify]: Simplify K into K 4.275 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 4.275 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 4.275 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 4.275 * [taylor]: Taking taylor expansion of J in U 4.275 * [backup-simplify]: Simplify J into J 4.275 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 4.275 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 4.276 * [backup-simplify]: Simplify (- 0) into 0 4.276 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 4.276 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 4.276 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 4.276 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 4.276 * [taylor]: Taking taylor expansion of 1/2 in U 4.276 * [backup-simplify]: Simplify 1/2 into 1/2 4.276 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 4.276 * [taylor]: Taking taylor expansion of U in U 4.276 * [backup-simplify]: Simplify 0 into 0 4.276 * [backup-simplify]: Simplify 1 into 1 4.276 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 4.276 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 4.276 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 4.276 * [taylor]: Taking taylor expansion of 1/2 in U 4.276 * [backup-simplify]: Simplify 1/2 into 1/2 4.276 * [taylor]: Taking taylor expansion of K in U 4.276 * [backup-simplify]: Simplify K into K 4.277 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 4.277 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 4.277 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 4.277 * [taylor]: Taking taylor expansion of J in U 4.277 * [backup-simplify]: Simplify J into J 4.277 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 4.277 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 4.277 * [backup-simplify]: Simplify (- 0) into 0 4.277 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 4.277 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 4.278 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 4.278 * [backup-simplify]: Simplify (* 1 1) into 1 4.278 * [backup-simplify]: Simplify (+ 1 0) into 1 4.279 * [backup-simplify]: Simplify (sqrt 1) into 1 4.279 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.280 * [backup-simplify]: Simplify (+ 0 0) into 0 4.281 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.281 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 4.281 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 4.281 * [backup-simplify]: Simplify (- 0) into 0 4.281 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 4.281 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 4.281 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 4.281 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 4.281 * [taylor]: Taking taylor expansion of 1/2 in J 4.281 * [backup-simplify]: Simplify 1/2 into 1/2 4.282 * [taylor]: Taking taylor expansion of K in J 4.282 * [backup-simplify]: Simplify K into K 4.282 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 4.282 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 4.282 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 4.282 * [backup-simplify]: Simplify (+ 0) into 0 4.283 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 4.283 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 4.284 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.284 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 4.285 * [backup-simplify]: Simplify (- 0) into 0 4.285 * [backup-simplify]: Simplify (+ 0 0) into 0 4.285 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 4.286 * [taylor]: Taking taylor expansion of 0 in J 4.286 * [backup-simplify]: Simplify 0 into 0 4.286 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 4.286 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 4.286 * [backup-simplify]: Simplify (- 0) into 0 4.286 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 4.286 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 4.286 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 4.286 * [taylor]: Taking taylor expansion of 1/2 in K 4.286 * [backup-simplify]: Simplify 1/2 into 1/2 4.286 * [taylor]: Taking taylor expansion of K in K 4.286 * [backup-simplify]: Simplify 0 into 0 4.286 * [backup-simplify]: Simplify 1 into 1 4.287 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.288 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.288 * [backup-simplify]: Simplify 1 into 1 4.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.288 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 4.289 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 4.289 * [backup-simplify]: Simplify (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 1/2 (* (cos (* 1/2 K)) J))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 4.289 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 4.290 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 4.290 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.291 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 4.291 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 4.292 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.292 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 4.292 * [backup-simplify]: Simplify (- 0) into 0 4.292 * [backup-simplify]: Simplify (+ 0 0) into 0 4.293 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 1))) into (* 1/8 (/ 1 (* (cos (* 1/2 K)) (pow J 2)))) 4.293 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (* (cos (* 1/2 K)) (pow J 2)))) in J 4.293 * [taylor]: Taking taylor expansion of 1/8 in J 4.293 * [backup-simplify]: Simplify 1/8 into 1/8 4.293 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) (pow J 2))) in J 4.293 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (pow J 2)) in J 4.293 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 4.293 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 4.293 * [taylor]: Taking taylor expansion of 1/2 in J 4.293 * [backup-simplify]: Simplify 1/2 into 1/2 4.293 * [taylor]: Taking taylor expansion of K in J 4.293 * [backup-simplify]: Simplify K into K 4.294 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 4.294 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 4.294 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 4.294 * [taylor]: Taking taylor expansion of (pow J 2) in J 4.294 * [taylor]: Taking taylor expansion of J in J 4.294 * [backup-simplify]: Simplify 0 into 0 4.294 * [backup-simplify]: Simplify 1 into 1 4.294 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 4.294 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 4.294 * [backup-simplify]: Simplify (- 0) into 0 4.294 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 4.295 * [backup-simplify]: Simplify (* 1 1) into 1 4.295 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 4.295 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 K))) into (/ 1 (cos (* 1/2 K))) 4.295 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.296 * [backup-simplify]: Simplify (+ 0) into 0 4.296 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 4.297 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 4.297 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.298 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 4.298 * [backup-simplify]: Simplify (- 0) into 0 4.298 * [backup-simplify]: Simplify (+ 0 0) into 0 4.299 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 4.299 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 4.300 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (/ 1 (cos (* 1/2 K))))) into 0 4.300 * [taylor]: Taking taylor expansion of 0 in K 4.300 * [backup-simplify]: Simplify 0 into 0 4.300 * [backup-simplify]: Simplify 0 into 0 4.300 * [taylor]: Taking taylor expansion of 0 in K 4.300 * [backup-simplify]: Simplify 0 into 0 4.300 * [backup-simplify]: Simplify 0 into 0 4.300 * [backup-simplify]: Simplify (+ 0) into 0 4.301 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 4.301 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 4.302 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.302 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 4.303 * [backup-simplify]: Simplify (- 0) into 0 4.303 * [backup-simplify]: Simplify (+ 0 0) into 0 4.303 * [taylor]: Taking taylor expansion of 0 in K 4.303 * [backup-simplify]: Simplify 0 into 0 4.303 * [backup-simplify]: Simplify 0 into 0 4.303 * [backup-simplify]: Simplify (+ 0) into 0 4.303 * [backup-simplify]: Simplify 0 into 0 4.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.304 * [backup-simplify]: Simplify (+ 0) into 0 4.304 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 4.305 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 4.305 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.306 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 4.306 * [backup-simplify]: Simplify (- 0) into 0 4.306 * [backup-simplify]: Simplify (+ 0 0) into 0 4.307 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 4.307 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 4.307 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 4.308 * [backup-simplify]: Simplify (+ 0) into 0 4.308 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 4.309 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 4.309 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.310 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 4.310 * [backup-simplify]: Simplify (- 0) into 0 4.310 * [backup-simplify]: Simplify (+ 0 0) into 0 4.310 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 4.311 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 4.311 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 4.312 * [backup-simplify]: Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J)))) into 0 4.312 * [backup-simplify]: Simplify (+ 0 0) into 0 4.313 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 4.314 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.315 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.316 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 4.317 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 4.318 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 4.318 * [backup-simplify]: Simplify (- 0) into 0 4.318 * [backup-simplify]: Simplify (+ 0 0) into 0 4.319 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 1)))) into 0 4.319 * [taylor]: Taking taylor expansion of 0 in J 4.319 * [backup-simplify]: Simplify 0 into 0 4.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.321 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.322 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 4.322 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 4.323 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.324 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 4.324 * [backup-simplify]: Simplify (- 0) into 0 4.324 * [backup-simplify]: Simplify (+ 0 0) into 0 4.325 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 4.325 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0 4.326 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 (/ 1 (cos (* 1/2 K)))))) into 0 4.326 * [taylor]: Taking taylor expansion of 0 in K 4.326 * [backup-simplify]: Simplify 0 into 0 4.326 * [backup-simplify]: Simplify 0 into 0 4.326 * [taylor]: Taking taylor expansion of 0 in K 4.326 * [backup-simplify]: Simplify 0 into 0 4.326 * [backup-simplify]: Simplify 0 into 0 4.326 * [backup-simplify]: Simplify 1 into 1 4.327 * [backup-simplify]: Simplify (* (hypot 1 (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) (cos (/ (/ 1 K) 2))) into (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) 4.327 * [approximate]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in (U J K) around 0 4.327 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in K 4.327 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 4.327 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 4.327 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in K 4.327 * [taylor]: Taking taylor expansion of (* 1 1) in K 4.327 * [taylor]: Taking taylor expansion of 1 in K 4.327 * [backup-simplify]: Simplify 1 into 1 4.327 * [taylor]: Taking taylor expansion of 1 in K 4.327 * [backup-simplify]: Simplify 1 into 1 4.327 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 4.327 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 4.327 * [taylor]: Taking taylor expansion of 1/2 in K 4.327 * [backup-simplify]: Simplify 1/2 into 1/2 4.327 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 4.327 * [taylor]: Taking taylor expansion of J in K 4.327 * [backup-simplify]: Simplify J into J 4.327 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 4.327 * [taylor]: Taking taylor expansion of U in K 4.327 * [backup-simplify]: Simplify U into U 4.327 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 4.327 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 4.327 * [taylor]: Taking taylor expansion of 1/2 in K 4.327 * [backup-simplify]: Simplify 1/2 into 1/2 4.327 * [taylor]: Taking taylor expansion of K in K 4.327 * [backup-simplify]: Simplify 0 into 0 4.327 * [backup-simplify]: Simplify 1 into 1 4.328 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.328 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 4.328 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 4.328 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 4.328 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 4.328 * [taylor]: Taking taylor expansion of 1/2 in K 4.328 * [backup-simplify]: Simplify 1/2 into 1/2 4.328 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 4.328 * [taylor]: Taking taylor expansion of J in K 4.328 * [backup-simplify]: Simplify J into J 4.328 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 4.328 * [taylor]: Taking taylor expansion of U in K 4.328 * [backup-simplify]: Simplify U into U 4.328 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 4.328 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 4.328 * [taylor]: Taking taylor expansion of 1/2 in K 4.328 * [backup-simplify]: Simplify 1/2 into 1/2 4.328 * [taylor]: Taking taylor expansion of K in K 4.328 * [backup-simplify]: Simplify 0 into 0 4.328 * [backup-simplify]: Simplify 1 into 1 4.329 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.329 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 4.329 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 4.329 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 4.330 * [backup-simplify]: Simplify (* 1 1) into 1 4.330 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 4.330 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 4.330 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 4.330 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 4.331 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 4.331 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.332 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 4.332 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 4.332 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 4.333 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 4.333 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 4.333 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 4.334 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into 0 4.334 * [backup-simplify]: Simplify (+ 0 0) into 0 4.334 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 4.334 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 4.335 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 4.335 * [taylor]: Taking taylor expansion of 1/2 in K 4.335 * [backup-simplify]: Simplify 1/2 into 1/2 4.335 * [taylor]: Taking taylor expansion of K in K 4.335 * [backup-simplify]: Simplify 0 into 0 4.335 * [backup-simplify]: Simplify 1 into 1 4.335 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.335 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 4.335 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in J 4.335 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 4.335 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 4.335 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in J 4.335 * [taylor]: Taking taylor expansion of (* 1 1) in J 4.335 * [taylor]: Taking taylor expansion of 1 in J 4.335 * [backup-simplify]: Simplify 1 into 1 4.335 * [taylor]: Taking taylor expansion of 1 in J 4.335 * [backup-simplify]: Simplify 1 into 1 4.335 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 4.335 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 4.336 * [taylor]: Taking taylor expansion of 1/2 in J 4.336 * [backup-simplify]: Simplify 1/2 into 1/2 4.336 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 4.336 * [taylor]: Taking taylor expansion of J in J 4.336 * [backup-simplify]: Simplify 0 into 0 4.336 * [backup-simplify]: Simplify 1 into 1 4.336 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 4.336 * [taylor]: Taking taylor expansion of U in J 4.336 * [backup-simplify]: Simplify U into U 4.336 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 4.336 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 4.336 * [taylor]: Taking taylor expansion of 1/2 in J 4.336 * [backup-simplify]: Simplify 1/2 into 1/2 4.336 * [taylor]: Taking taylor expansion of K in J 4.336 * [backup-simplify]: Simplify K into K 4.336 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 4.336 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 4.336 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 4.336 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 4.336 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 4.337 * [backup-simplify]: Simplify (- 0) into 0 4.337 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 4.337 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 4.337 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 4.337 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 4.337 * [taylor]: Taking taylor expansion of 1/2 in J 4.337 * [backup-simplify]: Simplify 1/2 into 1/2 4.337 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 4.337 * [taylor]: Taking taylor expansion of J in J 4.337 * [backup-simplify]: Simplify 0 into 0 4.337 * [backup-simplify]: Simplify 1 into 1 4.337 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 4.337 * [taylor]: Taking taylor expansion of U in J 4.337 * [backup-simplify]: Simplify U into U 4.337 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 4.337 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 4.337 * [taylor]: Taking taylor expansion of 1/2 in J 4.337 * [backup-simplify]: Simplify 1/2 into 1/2 4.337 * [taylor]: Taking taylor expansion of K in J 4.337 * [backup-simplify]: Simplify K into K 4.337 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 4.337 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 4.337 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 4.338 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 4.338 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 4.338 * [backup-simplify]: Simplify (- 0) into 0 4.338 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 4.338 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 4.338 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 4.339 * [backup-simplify]: Simplify (* 1 1) into 1 4.339 * [backup-simplify]: Simplify (+ 1 0) into 1 4.339 * [backup-simplify]: Simplify (sqrt 1) into 1 4.340 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.340 * [backup-simplify]: Simplify (+ 0 0) into 0 4.341 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.341 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 4.341 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 4.341 * [taylor]: Taking taylor expansion of 1/2 in J 4.341 * [backup-simplify]: Simplify 1/2 into 1/2 4.341 * [taylor]: Taking taylor expansion of K in J 4.341 * [backup-simplify]: Simplify K into K 4.341 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 4.341 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 4.341 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 4.341 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 4.341 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 4.341 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 4.342 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 4.342 * [taylor]: Taking taylor expansion of (* 1 1) in U 4.342 * [taylor]: Taking taylor expansion of 1 in U 4.342 * [backup-simplify]: Simplify 1 into 1 4.342 * [taylor]: Taking taylor expansion of 1 in U 4.342 * [backup-simplify]: Simplify 1 into 1 4.342 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 4.342 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 4.342 * [taylor]: Taking taylor expansion of 1/2 in U 4.342 * [backup-simplify]: Simplify 1/2 into 1/2 4.342 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 4.342 * [taylor]: Taking taylor expansion of J in U 4.342 * [backup-simplify]: Simplify J into J 4.342 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 4.342 * [taylor]: Taking taylor expansion of U in U 4.342 * [backup-simplify]: Simplify 0 into 0 4.342 * [backup-simplify]: Simplify 1 into 1 4.342 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 4.342 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 4.342 * [taylor]: Taking taylor expansion of 1/2 in U 4.342 * [backup-simplify]: Simplify 1/2 into 1/2 4.342 * [taylor]: Taking taylor expansion of K in U 4.342 * [backup-simplify]: Simplify K into K 4.342 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 4.342 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 4.342 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 4.342 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 4.342 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 4.343 * [backup-simplify]: Simplify (- 0) into 0 4.343 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 4.343 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 4.343 * [backup-simplify]: Simplify (+ 0) into 0 4.344 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 4.344 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 4.345 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.345 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 4.345 * [backup-simplify]: Simplify (- 0) into 0 4.346 * [backup-simplify]: Simplify (+ 0 0) into 0 4.346 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 4.346 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 4.346 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 4.346 * [taylor]: Taking taylor expansion of 1/2 in U 4.346 * [backup-simplify]: Simplify 1/2 into 1/2 4.346 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 4.346 * [taylor]: Taking taylor expansion of J in U 4.346 * [backup-simplify]: Simplify J into J 4.346 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 4.347 * [taylor]: Taking taylor expansion of U in U 4.347 * [backup-simplify]: Simplify 0 into 0 4.347 * [backup-simplify]: Simplify 1 into 1 4.347 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 4.347 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 4.347 * [taylor]: Taking taylor expansion of 1/2 in U 4.347 * [backup-simplify]: Simplify 1/2 into 1/2 4.347 * [taylor]: Taking taylor expansion of K in U 4.347 * [backup-simplify]: Simplify K into K 4.347 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 4.347 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 4.347 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 4.347 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 4.347 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 4.347 * [backup-simplify]: Simplify (- 0) into 0 4.348 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 4.348 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 4.348 * [backup-simplify]: Simplify (+ 0) into 0 4.348 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 4.349 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 4.349 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.350 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 4.350 * [backup-simplify]: Simplify (- 0) into 0 4.350 * [backup-simplify]: Simplify (+ 0 0) into 0 4.351 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 4.351 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 4.351 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 4.351 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 4.351 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 4.352 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 4.352 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 4.353 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.353 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 4.354 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 4.354 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.355 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 4.355 * [backup-simplify]: Simplify (- 0) into 0 4.356 * [backup-simplify]: Simplify (+ 0 0) into 0 4.357 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 4.357 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 4.357 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 4.358 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.359 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 4.359 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 4.360 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.360 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 4.360 * [backup-simplify]: Simplify (- 0) into 0 4.361 * [backup-simplify]: Simplify (+ 0 0) into 0 4.362 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 4.362 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 4.362 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 4.362 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 4.363 * [backup-simplify]: Simplify (+ 0 0) into 0 4.363 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 4.363 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 4.363 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 4.363 * [taylor]: Taking taylor expansion of 1/2 in U 4.363 * [backup-simplify]: Simplify 1/2 into 1/2 4.363 * [taylor]: Taking taylor expansion of K in U 4.363 * [backup-simplify]: Simplify K into K 4.363 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 4.363 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 4.363 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 4.364 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 4.364 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 4.364 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 4.364 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 4.364 * [taylor]: Taking taylor expansion of (* 1 1) in U 4.364 * [taylor]: Taking taylor expansion of 1 in U 4.364 * [backup-simplify]: Simplify 1 into 1 4.364 * [taylor]: Taking taylor expansion of 1 in U 4.364 * [backup-simplify]: Simplify 1 into 1 4.364 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 4.364 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 4.364 * [taylor]: Taking taylor expansion of 1/2 in U 4.364 * [backup-simplify]: Simplify 1/2 into 1/2 4.364 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 4.364 * [taylor]: Taking taylor expansion of J in U 4.364 * [backup-simplify]: Simplify J into J 4.364 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 4.364 * [taylor]: Taking taylor expansion of U in U 4.364 * [backup-simplify]: Simplify 0 into 0 4.364 * [backup-simplify]: Simplify 1 into 1 4.364 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 4.364 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 4.364 * [taylor]: Taking taylor expansion of 1/2 in U 4.364 * [backup-simplify]: Simplify 1/2 into 1/2 4.364 * [taylor]: Taking taylor expansion of K in U 4.364 * [backup-simplify]: Simplify K into K 4.364 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 4.364 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 4.364 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 4.365 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 4.365 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 4.367 * [backup-simplify]: Simplify (- 0) into 0 4.367 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 4.367 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 4.367 * [backup-simplify]: Simplify (+ 0) into 0 4.368 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 4.368 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 4.369 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.369 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 4.369 * [backup-simplify]: Simplify (- 0) into 0 4.370 * [backup-simplify]: Simplify (+ 0 0) into 0 4.370 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 4.370 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 4.370 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 4.370 * [taylor]: Taking taylor expansion of 1/2 in U 4.370 * [backup-simplify]: Simplify 1/2 into 1/2 4.370 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 4.370 * [taylor]: Taking taylor expansion of J in U 4.370 * [backup-simplify]: Simplify J into J 4.370 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 4.370 * [taylor]: Taking taylor expansion of U in U 4.370 * [backup-simplify]: Simplify 0 into 0 4.370 * [backup-simplify]: Simplify 1 into 1 4.371 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 4.371 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 4.371 * [taylor]: Taking taylor expansion of 1/2 in U 4.371 * [backup-simplify]: Simplify 1/2 into 1/2 4.371 * [taylor]: Taking taylor expansion of K in U 4.371 * [backup-simplify]: Simplify K into K 4.371 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 4.371 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 4.371 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 4.371 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 4.371 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 4.371 * [backup-simplify]: Simplify (- 0) into 0 4.371 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 4.371 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 4.372 * [backup-simplify]: Simplify (+ 0) into 0 4.372 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 4.372 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 4.373 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.374 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 4.374 * [backup-simplify]: Simplify (- 0) into 0 4.374 * [backup-simplify]: Simplify (+ 0 0) into 0 4.375 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 4.375 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 4.375 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 4.375 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 4.375 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 4.376 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 4.376 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 4.377 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.377 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 4.377 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 4.378 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.379 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 4.379 * [backup-simplify]: Simplify (- 0) into 0 4.379 * [backup-simplify]: Simplify (+ 0 0) into 0 4.380 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 4.380 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 4.381 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 4.382 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.383 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 4.383 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 4.383 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.384 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 4.384 * [backup-simplify]: Simplify (- 0) into 0 4.385 * [backup-simplify]: Simplify (+ 0 0) into 0 4.386 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 4.386 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 4.387 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 4.387 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 4.387 * [backup-simplify]: Simplify (+ 0 0) into 0 4.387 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 4.387 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 4.388 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 4.388 * [taylor]: Taking taylor expansion of 1/2 in U 4.388 * [backup-simplify]: Simplify 1/2 into 1/2 4.388 * [taylor]: Taking taylor expansion of K in U 4.388 * [backup-simplify]: Simplify K into K 4.388 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 4.388 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 4.388 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 4.388 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 4.388 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 4.389 * [backup-simplify]: Simplify (- 0) into 0 4.389 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 4.389 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 4.389 * [taylor]: Taking taylor expansion of (* 1/2 J) in J 4.389 * [taylor]: Taking taylor expansion of 1/2 in J 4.389 * [backup-simplify]: Simplify 1/2 into 1/2 4.389 * [taylor]: Taking taylor expansion of J in J 4.389 * [backup-simplify]: Simplify 0 into 0 4.389 * [backup-simplify]: Simplify 1 into 1 4.389 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.389 * [taylor]: Taking taylor expansion of 0 in K 4.389 * [backup-simplify]: Simplify 0 into 0 4.389 * [backup-simplify]: Simplify 0 into 0 4.390 * [backup-simplify]: Simplify (+ 0) into 0 4.390 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 4.390 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 4.391 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.392 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 4.392 * [backup-simplify]: Simplify (- 0) into 0 4.392 * [backup-simplify]: Simplify (+ 0 0) into 0 4.393 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (cos (/ 1/2 K)))) into 0 4.393 * [taylor]: Taking taylor expansion of 0 in J 4.393 * [backup-simplify]: Simplify 0 into 0 4.393 * [taylor]: Taking taylor expansion of 0 in K 4.393 * [backup-simplify]: Simplify 0 into 0 4.393 * [backup-simplify]: Simplify 0 into 0 4.393 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.393 * [taylor]: Taking taylor expansion of 1/2 in K 4.393 * [backup-simplify]: Simplify 1/2 into 1/2 4.393 * [backup-simplify]: Simplify 1/2 into 1/2 4.394 * [backup-simplify]: Simplify 0 into 0 4.394 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.395 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 4.395 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 4.396 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.397 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 4.397 * [backup-simplify]: Simplify (- 0) into 0 4.397 * [backup-simplify]: Simplify (+ 0 0) into 0 4.398 * [backup-simplify]: Simplify (* 1 1) into 1 4.398 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.399 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.399 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 4.401 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 4.402 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 4.402 * [backup-simplify]: Simplify (- 0) into 0 4.402 * [backup-simplify]: Simplify (+ 0 0) into 0 4.403 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 4.404 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 4.405 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 4.406 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.407 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.407 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 4.408 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 4.409 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 4.409 * [backup-simplify]: Simplify (- 0) into 0 4.410 * [backup-simplify]: Simplify (+ 0 0) into 0 4.411 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 4.411 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 4.412 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 4.412 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K))))))) into 0 4.413 * [backup-simplify]: Simplify (+ 1 0) into 1 4.414 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 4.414 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* (/ (cos (/ 1/2 K)) J) (cos (/ 1/2 K))))) into (/ (pow (cos (/ 1/2 K)) 2) J) 4.414 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) J) in J 4.414 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 4.415 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 4.415 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 4.415 * [taylor]: Taking taylor expansion of 1/2 in J 4.415 * [backup-simplify]: Simplify 1/2 into 1/2 4.415 * [taylor]: Taking taylor expansion of K in J 4.415 * [backup-simplify]: Simplify K into K 4.415 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 4.415 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 4.415 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 4.415 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 4.415 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 4.415 * [backup-simplify]: Simplify (- 0) into 0 4.415 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 4.416 * [taylor]: Taking taylor expansion of J in J 4.416 * [backup-simplify]: Simplify 0 into 0 4.416 * [backup-simplify]: Simplify 1 into 1 4.416 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 4.416 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 4.416 * [backup-simplify]: Simplify (+ 0) into 0 4.417 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 4.417 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 4.418 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.418 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 4.418 * [backup-simplify]: Simplify (- 0) into 0 4.419 * [backup-simplify]: Simplify (+ 0 0) into 0 4.419 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 4.420 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 4.420 * [taylor]: Taking taylor expansion of 0 in K 4.420 * [backup-simplify]: Simplify 0 into 0 4.420 * [backup-simplify]: Simplify 0 into 0 4.420 * [taylor]: Taking taylor expansion of 0 in K 4.420 * [backup-simplify]: Simplify 0 into 0 4.420 * [backup-simplify]: Simplify 0 into 0 4.421 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 4.421 * [taylor]: Taking taylor expansion of 0 in K 4.421 * [backup-simplify]: Simplify 0 into 0 4.421 * [backup-simplify]: Simplify 0 into 0 4.421 * [backup-simplify]: Simplify 0 into 0 4.421 * [backup-simplify]: Simplify 0 into 0 4.421 * [backup-simplify]: Simplify (* 1/2 (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U J)) 4.422 * [backup-simplify]: Simplify (* (hypot 1 (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) (cos (/ (/ 1 (- K)) 2))) into (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 4.422 * [approximate]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in (U J K) around 0 4.422 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 4.422 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 4.422 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 4.422 * [taylor]: Taking taylor expansion of -1/2 in K 4.422 * [backup-simplify]: Simplify -1/2 into -1/2 4.422 * [taylor]: Taking taylor expansion of K in K 4.422 * [backup-simplify]: Simplify 0 into 0 4.422 * [backup-simplify]: Simplify 1 into 1 4.422 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 4.423 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 4.423 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 4.423 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 4.423 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 4.423 * [taylor]: Taking taylor expansion of (* 1 1) in K 4.423 * [taylor]: Taking taylor expansion of 1 in K 4.423 * [backup-simplify]: Simplify 1 into 1 4.423 * [taylor]: Taking taylor expansion of 1 in K 4.423 * [backup-simplify]: Simplify 1 into 1 4.423 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 4.423 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 4.423 * [taylor]: Taking taylor expansion of 1/2 in K 4.423 * [backup-simplify]: Simplify 1/2 into 1/2 4.423 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 4.423 * [taylor]: Taking taylor expansion of J in K 4.423 * [backup-simplify]: Simplify J into J 4.423 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 4.423 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 4.423 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 4.423 * [taylor]: Taking taylor expansion of -1/2 in K 4.423 * [backup-simplify]: Simplify -1/2 into -1/2 4.423 * [taylor]: Taking taylor expansion of K in K 4.423 * [backup-simplify]: Simplify 0 into 0 4.423 * [backup-simplify]: Simplify 1 into 1 4.424 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 4.424 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 4.424 * [taylor]: Taking taylor expansion of U in K 4.424 * [backup-simplify]: Simplify U into U 4.424 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 4.424 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 4.424 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 4.424 * [taylor]: Taking taylor expansion of 1/2 in K 4.424 * [backup-simplify]: Simplify 1/2 into 1/2 4.424 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 4.424 * [taylor]: Taking taylor expansion of J in K 4.424 * [backup-simplify]: Simplify J into J 4.424 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 4.424 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 4.424 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 4.424 * [taylor]: Taking taylor expansion of -1/2 in K 4.424 * [backup-simplify]: Simplify -1/2 into -1/2 4.424 * [taylor]: Taking taylor expansion of K in K 4.424 * [backup-simplify]: Simplify 0 into 0 4.424 * [backup-simplify]: Simplify 1 into 1 4.425 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 4.425 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 4.425 * [taylor]: Taking taylor expansion of U in K 4.425 * [backup-simplify]: Simplify U into U 4.425 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 4.425 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 4.426 * [backup-simplify]: Simplify (* 1 1) into 1 4.426 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 4.426 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 4.426 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 4.427 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 4.427 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 4.428 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.428 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 4.428 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 4.429 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 4.429 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 4.429 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 4.430 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 4.430 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into 0 4.430 * [backup-simplify]: Simplify (+ 0 0) into 0 4.431 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 4.431 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 4.431 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 4.431 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 4.431 * [taylor]: Taking taylor expansion of -1/2 in J 4.431 * [backup-simplify]: Simplify -1/2 into -1/2 4.431 * [taylor]: Taking taylor expansion of K in J 4.431 * [backup-simplify]: Simplify K into K 4.431 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 4.431 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 4.431 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 4.431 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 4.431 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 4.431 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 4.431 * [taylor]: Taking taylor expansion of (* 1 1) in J 4.431 * [taylor]: Taking taylor expansion of 1 in J 4.431 * [backup-simplify]: Simplify 1 into 1 4.432 * [taylor]: Taking taylor expansion of 1 in J 4.432 * [backup-simplify]: Simplify 1 into 1 4.432 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 4.432 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 4.432 * [taylor]: Taking taylor expansion of 1/2 in J 4.432 * [backup-simplify]: Simplify 1/2 into 1/2 4.432 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 4.432 * [taylor]: Taking taylor expansion of J in J 4.432 * [backup-simplify]: Simplify 0 into 0 4.432 * [backup-simplify]: Simplify 1 into 1 4.432 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 4.432 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 4.432 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 4.432 * [taylor]: Taking taylor expansion of -1/2 in J 4.432 * [backup-simplify]: Simplify -1/2 into -1/2 4.432 * [taylor]: Taking taylor expansion of K in J 4.432 * [backup-simplify]: Simplify K into K 4.432 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 4.432 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 4.432 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 4.432 * [taylor]: Taking taylor expansion of U in J 4.432 * [backup-simplify]: Simplify U into U 4.432 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 4.432 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 4.433 * [backup-simplify]: Simplify (- 0) into 0 4.433 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 4.433 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 4.433 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 4.433 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 4.433 * [taylor]: Taking taylor expansion of 1/2 in J 4.433 * [backup-simplify]: Simplify 1/2 into 1/2 4.433 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 4.433 * [taylor]: Taking taylor expansion of J in J 4.433 * [backup-simplify]: Simplify 0 into 0 4.433 * [backup-simplify]: Simplify 1 into 1 4.433 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 4.433 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 4.433 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 4.433 * [taylor]: Taking taylor expansion of -1/2 in J 4.433 * [backup-simplify]: Simplify -1/2 into -1/2 4.433 * [taylor]: Taking taylor expansion of K in J 4.433 * [backup-simplify]: Simplify K into K 4.433 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 4.434 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 4.434 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 4.434 * [taylor]: Taking taylor expansion of U in J 4.434 * [backup-simplify]: Simplify U into U 4.434 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 4.434 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 4.434 * [backup-simplify]: Simplify (- 0) into 0 4.434 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 4.435 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 4.435 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 4.435 * [backup-simplify]: Simplify (* 1 1) into 1 4.435 * [backup-simplify]: Simplify (+ 1 0) into 1 4.436 * [backup-simplify]: Simplify (sqrt 1) into 1 4.436 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.437 * [backup-simplify]: Simplify (+ 0 0) into 0 4.437 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.438 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 4.438 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 4.438 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 4.438 * [taylor]: Taking taylor expansion of -1/2 in U 4.438 * [backup-simplify]: Simplify -1/2 into -1/2 4.438 * [taylor]: Taking taylor expansion of K in U 4.438 * [backup-simplify]: Simplify K into K 4.438 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 4.438 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 4.438 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 4.438 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 4.438 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 4.438 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 4.438 * [taylor]: Taking taylor expansion of (* 1 1) in U 4.438 * [taylor]: Taking taylor expansion of 1 in U 4.438 * [backup-simplify]: Simplify 1 into 1 4.438 * [taylor]: Taking taylor expansion of 1 in U 4.438 * [backup-simplify]: Simplify 1 into 1 4.438 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 4.438 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 4.438 * [taylor]: Taking taylor expansion of 1/2 in U 4.438 * [backup-simplify]: Simplify 1/2 into 1/2 4.438 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 4.438 * [taylor]: Taking taylor expansion of J in U 4.438 * [backup-simplify]: Simplify J into J 4.438 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 4.438 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 4.439 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 4.439 * [taylor]: Taking taylor expansion of -1/2 in U 4.439 * [backup-simplify]: Simplify -1/2 into -1/2 4.439 * [taylor]: Taking taylor expansion of K in U 4.439 * [backup-simplify]: Simplify K into K 4.439 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 4.439 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 4.439 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 4.439 * [taylor]: Taking taylor expansion of U in U 4.439 * [backup-simplify]: Simplify 0 into 0 4.439 * [backup-simplify]: Simplify 1 into 1 4.439 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 4.439 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 4.440 * [backup-simplify]: Simplify (- 0) into 0 4.440 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 4.440 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 4.440 * [backup-simplify]: Simplify (+ 0) into 0 4.441 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 4.441 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 4.442 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.442 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 4.442 * [backup-simplify]: Simplify (- 0) into 0 4.443 * [backup-simplify]: Simplify (+ 0 0) into 0 4.443 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 4.443 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 4.443 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 4.443 * [taylor]: Taking taylor expansion of 1/2 in U 4.443 * [backup-simplify]: Simplify 1/2 into 1/2 4.444 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 4.444 * [taylor]: Taking taylor expansion of J in U 4.444 * [backup-simplify]: Simplify J into J 4.444 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 4.444 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 4.444 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 4.444 * [taylor]: Taking taylor expansion of -1/2 in U 4.444 * [backup-simplify]: Simplify -1/2 into -1/2 4.444 * [taylor]: Taking taylor expansion of K in U 4.444 * [backup-simplify]: Simplify K into K 4.444 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 4.444 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 4.444 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 4.444 * [taylor]: Taking taylor expansion of U in U 4.444 * [backup-simplify]: Simplify 0 into 0 4.444 * [backup-simplify]: Simplify 1 into 1 4.444 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 4.444 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 4.445 * [backup-simplify]: Simplify (- 0) into 0 4.445 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 4.445 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 4.445 * [backup-simplify]: Simplify (+ 0) into 0 4.446 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 4.446 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 4.446 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.447 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 4.447 * [backup-simplify]: Simplify (- 0) into 0 4.448 * [backup-simplify]: Simplify (+ 0 0) into 0 4.448 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 4.448 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 4.448 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 4.448 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 4.449 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 4.449 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 4.449 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 4.450 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.451 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 4.451 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 4.452 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.452 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 4.453 * [backup-simplify]: Simplify (- 0) into 0 4.453 * [backup-simplify]: Simplify (+ 0 0) into 0 4.454 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 4.454 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 4.454 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 4.455 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.456 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 4.456 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 4.457 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.457 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 4.457 * [backup-simplify]: Simplify (- 0) into 0 4.458 * [backup-simplify]: Simplify (+ 0 0) into 0 4.458 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 4.459 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 4.459 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 4.459 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 4.460 * [backup-simplify]: Simplify (+ 0 0) into 0 4.460 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 4.460 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 4.460 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 4.460 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 4.460 * [taylor]: Taking taylor expansion of -1/2 in U 4.460 * [backup-simplify]: Simplify -1/2 into -1/2 4.460 * [taylor]: Taking taylor expansion of K in U 4.460 * [backup-simplify]: Simplify K into K 4.460 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 4.460 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 4.460 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 4.460 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 4.461 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 4.461 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 4.461 * [taylor]: Taking taylor expansion of (* 1 1) in U 4.461 * [taylor]: Taking taylor expansion of 1 in U 4.461 * [backup-simplify]: Simplify 1 into 1 4.461 * [taylor]: Taking taylor expansion of 1 in U 4.461 * [backup-simplify]: Simplify 1 into 1 4.461 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 4.461 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 4.461 * [taylor]: Taking taylor expansion of 1/2 in U 4.461 * [backup-simplify]: Simplify 1/2 into 1/2 4.461 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 4.461 * [taylor]: Taking taylor expansion of J in U 4.461 * [backup-simplify]: Simplify J into J 4.461 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 4.461 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 4.461 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 4.461 * [taylor]: Taking taylor expansion of -1/2 in U 4.461 * [backup-simplify]: Simplify -1/2 into -1/2 4.461 * [taylor]: Taking taylor expansion of K in U 4.461 * [backup-simplify]: Simplify K into K 4.461 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 4.461 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 4.461 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 4.461 * [taylor]: Taking taylor expansion of U in U 4.461 * [backup-simplify]: Simplify 0 into 0 4.461 * [backup-simplify]: Simplify 1 into 1 4.461 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 4.461 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 4.462 * [backup-simplify]: Simplify (- 0) into 0 4.462 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 4.462 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 4.462 * [backup-simplify]: Simplify (+ 0) into 0 4.463 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 4.463 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 4.464 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.464 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 4.464 * [backup-simplify]: Simplify (- 0) into 0 4.465 * [backup-simplify]: Simplify (+ 0 0) into 0 4.465 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 4.465 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 4.465 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 4.465 * [taylor]: Taking taylor expansion of 1/2 in U 4.465 * [backup-simplify]: Simplify 1/2 into 1/2 4.465 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 4.465 * [taylor]: Taking taylor expansion of J in U 4.465 * [backup-simplify]: Simplify J into J 4.465 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 4.465 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 4.465 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 4.465 * [taylor]: Taking taylor expansion of -1/2 in U 4.465 * [backup-simplify]: Simplify -1/2 into -1/2 4.465 * [taylor]: Taking taylor expansion of K in U 4.465 * [backup-simplify]: Simplify K into K 4.466 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 4.466 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 4.466 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 4.466 * [taylor]: Taking taylor expansion of U in U 4.466 * [backup-simplify]: Simplify 0 into 0 4.466 * [backup-simplify]: Simplify 1 into 1 4.466 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 4.466 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 4.467 * [backup-simplify]: Simplify (- 0) into 0 4.467 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 4.467 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 4.467 * [backup-simplify]: Simplify (+ 0) into 0 4.467 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 4.468 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 4.468 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.469 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 4.469 * [backup-simplify]: Simplify (- 0) into 0 4.469 * [backup-simplify]: Simplify (+ 0 0) into 0 4.470 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 4.470 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 4.470 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 4.470 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 4.470 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 4.471 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 4.471 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 4.472 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.472 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 4.473 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 4.473 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.474 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 4.474 * [backup-simplify]: Simplify (- 0) into 0 4.474 * [backup-simplify]: Simplify (+ 0 0) into 0 4.475 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 4.475 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 4.476 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 4.477 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.477 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 4.477 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 4.478 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.479 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 4.479 * [backup-simplify]: Simplify (- 0) into 0 4.479 * [backup-simplify]: Simplify (+ 0 0) into 0 4.480 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 4.480 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 4.481 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 4.481 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 4.481 * [backup-simplify]: Simplify (+ 0 0) into 0 4.482 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 4.482 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 4.482 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 4.482 * [backup-simplify]: Simplify (- 0) into 0 4.482 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 4.482 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 4.482 * [taylor]: Taking taylor expansion of (* 1/2 J) in J 4.482 * [taylor]: Taking taylor expansion of 1/2 in J 4.482 * [backup-simplify]: Simplify 1/2 into 1/2 4.482 * [taylor]: Taking taylor expansion of J in J 4.482 * [backup-simplify]: Simplify 0 into 0 4.482 * [backup-simplify]: Simplify 1 into 1 4.483 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.483 * [taylor]: Taking taylor expansion of 0 in K 4.483 * [backup-simplify]: Simplify 0 into 0 4.483 * [backup-simplify]: Simplify 0 into 0 4.483 * [backup-simplify]: Simplify (+ 0) into 0 4.484 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 4.484 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 4.485 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.485 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 4.485 * [backup-simplify]: Simplify (- 0) into 0 4.486 * [backup-simplify]: Simplify (+ 0 0) into 0 4.486 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 4.486 * [taylor]: Taking taylor expansion of 0 in J 4.486 * [backup-simplify]: Simplify 0 into 0 4.486 * [taylor]: Taking taylor expansion of 0 in K 4.486 * [backup-simplify]: Simplify 0 into 0 4.486 * [backup-simplify]: Simplify 0 into 0 4.487 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.487 * [taylor]: Taking taylor expansion of 1/2 in K 4.487 * [backup-simplify]: Simplify 1/2 into 1/2 4.487 * [backup-simplify]: Simplify 1/2 into 1/2 4.487 * [backup-simplify]: Simplify 0 into 0 4.487 * [backup-simplify]: Simplify (* 1 1) into 1 4.488 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.489 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.489 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 4.490 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 4.491 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 4.491 * [backup-simplify]: Simplify (- 0) into 0 4.492 * [backup-simplify]: Simplify (+ 0 0) into 0 4.492 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.493 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 4.494 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 4.494 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.495 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.495 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 4.497 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 4.497 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 4.498 * [backup-simplify]: Simplify (- 0) into 0 4.498 * [backup-simplify]: Simplify (+ 0 0) into 0 4.499 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.499 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 4.500 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 4.500 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into 0 4.501 * [backup-simplify]: Simplify (+ 1 0) into 1 4.501 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 4.504 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.505 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 4.505 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 4.506 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.506 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 4.506 * [backup-simplify]: Simplify (- 0) into 0 4.507 * [backup-simplify]: Simplify (+ 0 0) into 0 4.507 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into (/ (pow (cos (/ -1/2 K)) 2) J) 4.507 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) J) in J 4.507 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 4.508 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 4.508 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 4.508 * [taylor]: Taking taylor expansion of -1/2 in J 4.508 * [backup-simplify]: Simplify -1/2 into -1/2 4.508 * [taylor]: Taking taylor expansion of K in J 4.508 * [backup-simplify]: Simplify K into K 4.508 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 4.508 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 4.508 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 4.508 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 4.508 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 4.508 * [backup-simplify]: Simplify (- 0) into 0 4.508 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 4.508 * [taylor]: Taking taylor expansion of J in J 4.508 * [backup-simplify]: Simplify 0 into 0 4.509 * [backup-simplify]: Simplify 1 into 1 4.509 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 4.509 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 4.509 * [backup-simplify]: Simplify (+ 0) into 0 4.510 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 4.510 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 4.510 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.511 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 4.511 * [backup-simplify]: Simplify (- 0) into 0 4.511 * [backup-simplify]: Simplify (+ 0 0) into 0 4.511 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 4.512 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 4.512 * [taylor]: Taking taylor expansion of 0 in K 4.512 * [backup-simplify]: Simplify 0 into 0 4.512 * [backup-simplify]: Simplify 0 into 0 4.512 * [taylor]: Taking taylor expansion of 0 in K 4.512 * [backup-simplify]: Simplify 0 into 0 4.513 * [backup-simplify]: Simplify 0 into 0 4.513 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 4.513 * [taylor]: Taking taylor expansion of 0 in K 4.513 * [backup-simplify]: Simplify 0 into 0 4.514 * [backup-simplify]: Simplify 0 into 0 4.514 * [backup-simplify]: Simplify 0 into 0 4.514 * [backup-simplify]: Simplify 0 into 0 4.514 * [backup-simplify]: Simplify (* 1/2 (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U J)) 4.514 * * * [progress]: simplifying candidates 4.514 * * * * [progress]: [ 1 / 105 ] simplifiying candidate # 4.514 * * * * [progress]: [ 2 / 105 ] simplifiying candidate # 4.514 * * * * [progress]: [ 3 / 105 ] simplifiying candidate # 4.514 * * * * [progress]: [ 4 / 105 ] simplifiying candidate # 4.514 * * * * [progress]: [ 5 / 105 ] simplifiying candidate # 4.514 * * * * [progress]: [ 6 / 105 ] simplifiying candidate # 4.515 * * * * [progress]: [ 7 / 105 ] simplifiying candidate # 4.515 * * * * [progress]: [ 8 / 105 ] simplifiying candidate # 4.515 * * * * [progress]: [ 9 / 105 ] simplifiying candidate # 4.515 * * * * [progress]: [ 10 / 105 ] simplifiying candidate # 4.515 * * * * [progress]: [ 11 / 105 ] simplifiying candidate # 4.515 * * * * [progress]: [ 12 / 105 ] simplifiying candidate # 4.515 * * * * [progress]: [ 13 / 105 ] simplifiying candidate # 4.515 * * * * [progress]: [ 14 / 105 ] simplifiying candidate # 4.515 * * * * [progress]: [ 15 / 105 ] simplifiying candidate # 4.515 * * * * [progress]: [ 16 / 105 ] simplifiying candidate # 4.515 * * * * [progress]: [ 17 / 105 ] simplifiying candidate # 4.515 * * * * [progress]: [ 18 / 105 ] simplifiying candidate # 4.515 * * * * [progress]: [ 19 / 105 ] simplifiying candidate # 4.515 * * * * [progress]: [ 20 / 105 ] simplifiying candidate # 4.515 * * * * [progress]: [ 21 / 105 ] simplifiying candidate # 4.515 * * * * [progress]: [ 22 / 105 ] simplifiying candidate # 4.516 * * * * [progress]: [ 23 / 105 ] simplifiying candidate # 4.516 * * * * [progress]: [ 24 / 105 ] simplifiying candidate #real (real->posit16 (* (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (cos (/ K 2))) (* -2 J)))))> 4.516 * * * * [progress]: [ 25 / 105 ] simplifiying candidate # 4.516 * * * * [progress]: [ 26 / 105 ] simplifiying candidate # 4.516 * * * * [progress]: [ 27 / 105 ] simplifiying candidate # 4.516 * * * * [progress]: [ 28 / 105 ] simplifiying candidate # 4.516 * * * * [progress]: [ 29 / 105 ] simplifiying candidate # 4.516 * * * * [progress]: [ 30 / 105 ] simplifiying candidate # 4.516 * * * * [progress]: [ 31 / 105 ] simplifiying candidate # 4.516 * * * * [progress]: [ 32 / 105 ] simplifiying candidate # 4.516 * * * * [progress]: [ 33 / 105 ] simplifiying candidate # 4.516 * * * * [progress]: [ 34 / 105 ] simplifiying candidate # 4.516 * * * * [progress]: [ 35 / 105 ] simplifiying candidate # 4.517 * * * * [progress]: [ 36 / 105 ] simplifiying candidate # 4.517 * * * * [progress]: [ 37 / 105 ] simplifiying candidate # 4.517 * * * * [progress]: [ 38 / 105 ] simplifiying candidate # 4.517 * * * * [progress]: [ 39 / 105 ] simplifiying candidate # 4.517 * * * * [progress]: [ 40 / 105 ] simplifiying candidate # 4.517 * * * * [progress]: [ 41 / 105 ] simplifiying candidate # 4.517 * * * * [progress]: [ 42 / 105 ] simplifiying candidate # 4.517 * * * * [progress]: [ 43 / 105 ] simplifiying candidate # 4.517 * * * * [progress]: [ 44 / 105 ] simplifiying candidate # 4.517 * * * * [progress]: [ 45 / 105 ] simplifiying candidate # 4.517 * * * * [progress]: [ 46 / 105 ] simplifiying candidate # 4.517 * * * * [progress]: [ 47 / 105 ] simplifiying candidate # 4.517 * * * * [progress]: [ 48 / 105 ] simplifiying candidate # 4.517 * * * * [progress]: [ 49 / 105 ] simplifiying candidate # 4.517 * * * * [progress]: [ 50 / 105 ] simplifiying candidate # 4.517 * * * * [progress]: [ 51 / 105 ] simplifiying candidate #real (real->posit16 (/ U (* (* 2 J) (cos (/ K 2))))))) (cos (/ K 2))) (* -2 J)))> 4.517 * * * * [progress]: [ 52 / 105 ] simplifiying candidate # 4.517 * * * * [progress]: [ 53 / 105 ] simplifiying candidate # 4.518 * * * * [progress]: [ 54 / 105 ] simplifiying candidate # 4.518 * * * * [progress]: [ 55 / 105 ] simplifiying candidate # 4.518 * * * * [progress]: [ 56 / 105 ] simplifiying candidate # 4.518 * * * * [progress]: [ 57 / 105 ] simplifiying candidate # 4.518 * * * * [progress]: [ 58 / 105 ] simplifiying candidate # 4.518 * * * * [progress]: [ 59 / 105 ] simplifiying candidate # 4.518 * * * * [progress]: [ 60 / 105 ] simplifiying candidate # 4.518 * * * * [progress]: [ 61 / 105 ] simplifiying candidate # 4.518 * * * * [progress]: [ 62 / 105 ] simplifiying candidate # 4.518 * * * * [progress]: [ 63 / 105 ] simplifiying candidate # 4.518 * * * * [progress]: [ 64 / 105 ] simplifiying candidate # 4.518 * * * * [progress]: [ 65 / 105 ] simplifiying candidate # 4.518 * * * * [progress]: [ 66 / 105 ] simplifiying candidate # 4.518 * * * * [progress]: [ 67 / 105 ] simplifiying candidate # 4.518 * * * * [progress]: [ 68 / 105 ] simplifiying candidate # 4.518 * * * * [progress]: [ 69 / 105 ] simplifiying candidate # 4.519 * * * * [progress]: [ 70 / 105 ] simplifiying candidate # 4.519 * * * * [progress]: [ 71 / 105 ] simplifiying candidate #real (real->posit16 (* (* 2 J) (cos (/ K 2))))))) (cos (/ K 2))) (* -2 J)))> 4.519 * * * * [progress]: [ 72 / 105 ] simplifiying candidate # 4.519 * * * * [progress]: [ 73 / 105 ] simplifiying candidate # 4.519 * * * * [progress]: [ 74 / 105 ] simplifiying candidate # 4.519 * * * * [progress]: [ 75 / 105 ] simplifiying candidate # 4.519 * * * * [progress]: [ 76 / 105 ] simplifiying candidate # 4.519 * * * * [progress]: [ 77 / 105 ] simplifiying candidate # 4.519 * * * * [progress]: [ 78 / 105 ] simplifiying candidate # 4.519 * * * * [progress]: [ 79 / 105 ] simplifiying candidate # 4.519 * * * * [progress]: [ 80 / 105 ] simplifiying candidate # 4.519 * * * * [progress]: [ 81 / 105 ] simplifiying candidate # 4.519 * * * * [progress]: [ 82 / 105 ] simplifiying candidate # 4.519 * * * * [progress]: [ 83 / 105 ] simplifiying candidate # 4.519 * * * * [progress]: [ 84 / 105 ] simplifiying candidate # 4.519 * * * * [progress]: [ 85 / 105 ] simplifiying candidate # 4.519 * * * * [progress]: [ 86 / 105 ] simplifiying candidate # 4.519 * * * * [progress]: [ 87 / 105 ] simplifiying candidate # 4.519 * * * * [progress]: [ 88 / 105 ] simplifiying candidate # 4.520 * * * * [progress]: [ 89 / 105 ] simplifiying candidate # 4.520 * * * * [progress]: [ 90 / 105 ] simplifiying candidate # 4.520 * * * * [progress]: [ 91 / 105 ] simplifiying candidate # 4.520 * * * * [progress]: [ 92 / 105 ] simplifiying candidate #real (real->posit16 (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (cos (/ K 2))))) (* -2 J)))> 4.520 * * * * [progress]: [ 93 / 105 ] simplifiying candidate # 4.520 * * * * [progress]: [ 94 / 105 ] simplifiying candidate # 4.520 * * * * [progress]: [ 95 / 105 ] simplifiying candidate # 4.520 * * * * [progress]: [ 96 / 105 ] simplifiying candidate # 4.520 * * * * [progress]: [ 97 / 105 ] simplifiying candidate # 4.520 * * * * [progress]: [ 98 / 105 ] simplifiying candidate # 4.520 * * * * [progress]: [ 99 / 105 ] simplifiying candidate # 4.520 * * * * [progress]: [ 100 / 105 ] simplifiying candidate # 4.520 * * * * [progress]: [ 101 / 105 ] simplifiying candidate # 4.520 * * * * [progress]: [ 102 / 105 ] simplifiying candidate # 4.520 * * * * [progress]: [ 103 / 105 ] simplifiying candidate # 4.520 * * * * [progress]: [ 104 / 105 ] simplifiying candidate # 4.520 * * * * [progress]: [ 105 / 105 ] simplifiying candidate # 4.522 * [simplify]: Simplifying: (expm1 (* (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (cos (/ K 2))) (* -2 J))) (log1p (* (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (cos (/ K 2))) (* -2 J))) (* (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (cos (/ K 2))) (* -2 J)) (* (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (cos (/ K 2))) (* -2 J)) (* (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (cos (/ K 2))) (* -2 J)) (* (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (cos (/ K 2))) (* -2 J)) (+ (+ (log (hypot 1 (/ U (* (* 2 J) (cos (/ K 2)))))) (log (cos (/ K 2)))) (+ (log -2) (log J))) (+ (+ (log (hypot 1 (/ U (* (* 2 J) (cos (/ K 2)))))) (log (cos (/ K 2)))) (log (* -2 J))) (+ (log (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (cos (/ K 2)))) (+ (log -2) (log J))) (+ (log (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (cos (/ K 2)))) (log (* -2 J))) (log (* (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (cos (/ K 2))) (* -2 J))) (exp (* (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (cos (/ K 2))) (* -2 J))) (* (* (* (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (hypot 1 (/ U (* (* 2 J) (cos (/ K 2)))))) (hypot 1 (/ U (* (* 2 J) (cos (/ K 2)))))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* (* -2 -2) -2) (* (* J J) J))) (* (* (* (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (hypot 1 (/ U (* (* 2 J) (cos (/ K 2)))))) (hypot 1 (/ U (* (* 2 J) (cos (/ K 2)))))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* (* -2 J) (* -2 J)) (* -2 J))) (* (* (* (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (cos (/ K 2))) (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (cos (/ K 2)))) (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (cos (/ K 2)))) (* (* (* -2 -2) -2) (* (* J J) J))) (* (* (* (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (cos (/ K 2))) (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (cos (/ K 2)))) (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (cos (/ K 2)))) (* (* (* -2 J) (* -2 J)) (* -2 J))) (* (cbrt (* (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (cos (/ K 2))) (* -2 J))) (cbrt (* (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (cos (/ K 2))) (* -2 J)))) (cbrt (* (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (cos (/ K 2))) (* -2 J))) (* (* (* (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (cos (/ K 2))) (* -2 J)) (* (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (cos (/ K 2))) (* -2 J))) (* (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (cos (/ K 2))) (* -2 J))) (sqrt (* (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (cos (/ K 2))) (* -2 J))) (sqrt (* (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (cos (/ K 2))) (* -2 J))) (* (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (cos (/ K 2))) -2) (* (cos (/ K 2)) (* -2 J)) (real->posit16 (* (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (cos (/ K 2))) (* -2 J))) (expm1 (/ U (* (* 2 J) (cos (/ K 2))))) (log1p (/ U (* (* 2 J) (cos (/ K 2))))) (- (log U) (+ (+ (log 2) (log J)) (log (cos (/ K 2))))) (- (log U) (+ (log (* 2 J)) (log (cos (/ K 2))))) (- (log U) (log (* (* 2 J) (cos (/ K 2))))) (log (/ U (* (* 2 J) (cos (/ K 2))))) (exp (/ U (* (* 2 J) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* (* 2 2) 2) (* (* J J) J)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* (* 2 J) (* 2 J)) (* 2 J)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2)))) (* (* 2 J) (cos (/ K 2))))) (* (cbrt (/ U (* (* 2 J) (cos (/ K 2))))) (cbrt (/ U (* (* 2 J) (cos (/ K 2)))))) (cbrt (/ U (* (* 2 J) (cos (/ K 2))))) (* (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) (/ U (* (* 2 J) (cos (/ K 2))))) (sqrt (/ U (* (* 2 J) (cos (/ K 2))))) (sqrt (/ U (* (* 2 J) (cos (/ K 2))))) (- U) (- (* (* 2 J) (cos (/ K 2)))) (/ (* (cbrt U) (cbrt U)) (* 2 J)) (/ (cbrt U) (cos (/ K 2))) (/ (sqrt U) (* 2 J)) (/ (sqrt U) (cos (/ K 2))) (/ 1 (* 2 J)) (/ U (cos (/ K 2))) (/ 1 (* (* 2 J) (cos (/ K 2)))) (/ (* (* 2 J) (cos (/ K 2))) U) (/ U (* 2 J)) (/ (* (* 2 J) (cos (/ K 2))) (cbrt U)) (/ (* (* 2 J) (cos (/ K 2))) (sqrt U)) (/ (* (* 2 J) (cos (/ K 2))) U) (real->posit16 (/ U (* (* 2 J) (cos (/ K 2))))) (expm1 (* (* 2 J) (cos (/ K 2)))) (log1p (* (* 2 J) (cos (/ K 2)))) (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2))) (+ (+ (log 2) (log J)) (log (cos (/ K 2)))) (+ (log (* 2 J)) (log (cos (/ K 2)))) (log (* (* 2 J) (cos (/ K 2)))) (exp (* (* 2 J) (cos (/ K 2)))) (* (* (* (* 2 2) 2) (* (* J J) J)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* (* (* 2 J) (* 2 J)) (* 2 J)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (cbrt (* (* 2 J) (cos (/ K 2)))) (cbrt (* (* 2 J) (cos (/ K 2))))) (cbrt (* (* 2 J) (cos (/ K 2)))) (* (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2)))) (* (* 2 J) (cos (/ K 2)))) (sqrt (* (* 2 J) (cos (/ K 2)))) (sqrt (* (* 2 J) (cos (/ K 2)))) (* (* 2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* 2 J) (sqrt (cos (/ K 2)))) (* (* 2 J) 1) (* J (cos (/ K 2))) (real->posit16 (* (* 2 J) (cos (/ K 2)))) (expm1 (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (cos (/ K 2)))) (log1p (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (cos (/ K 2)))) (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (cos (/ K 2))) (+ (log (hypot 1 (/ U (* (* 2 J) (cos (/ K 2)))))) (log (cos (/ K 2)))) (log (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (cos (/ K 2)))) (exp (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (cos (/ K 2)))) (* (* (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (hypot 1 (/ U (* (* 2 J) (cos (/ K 2)))))) (hypot 1 (/ U (* (* 2 J) (cos (/ K 2)))))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (cbrt (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (cos (/ K 2)))) (cbrt (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (cos (/ K 2))))) (cbrt (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (cos (/ K 2)))) (* (* (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (cos (/ K 2))) (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (cos (/ K 2)))) (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (cos (/ K 2)))) (sqrt (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (cos (/ K 2)))) (sqrt (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (cos (/ K 2)))) (* (sqrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2)))))) (sqrt (cos (/ K 2)))) (* (sqrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2)))))) (sqrt (cos (/ K 2)))) (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (sqrt (cos (/ K 2)))) (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) 1) (* (cbrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2)))))) (cos (/ K 2))) (* (sqrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2)))))) (cos (/ K 2))) (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (cos (/ K 2))) (real->posit16 (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (cos (/ K 2)))) (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) (* -1 U) (* -1 U) (+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 2 J) (* 2 (* (cos (* 1/2 K)) J)) (* 2 (* (cos (* 1/2 K)) J)) 1 (* 1/2 (/ U J)) (* 1/2 (/ U J)) 4.525 * * [simplify]: iteration 0: 159 enodes 4.582 * * [simplify]: iteration 1: 404 enodes 4.756 * * [simplify]: iteration 2: 1589 enodes 5.133 * * [simplify]: iteration 3: 2016 enodes 5.545 * * [simplify]: iteration complete: 2016 enodes 5.545 * * [simplify]: Extracting #0: cost 73 inf + 0 5.547 * * [simplify]: Extracting #1: cost 443 inf + 1 5.551 * * [simplify]: Extracting #2: cost 774 inf + 2933 5.561 * * [simplify]: Extracting #3: cost 589 inf + 25895 5.571 * * [simplify]: Extracting #4: cost 513 inf + 34662 5.586 * * [simplify]: Extracting #5: cost 439 inf + 51941 5.629 * * [simplify]: Extracting #6: cost 141 inf + 149866 5.690 * * [simplify]: Extracting #7: cost 10 inf + 196156 5.738 * * [simplify]: Extracting #8: cost 0 inf + 199442 5.777 * * [simplify]: Extracting #9: cost 0 inf + 199281 5.819 * [simplify]: Simplified to: (expm1 (* (* (* -2 J) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (cos (/ K 2)))) (log1p (* (* (* -2 J) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (cos (/ K 2)))) (* (* (* -2 J) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (cos (/ K 2))) (* (* (* -2 J) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (cos (/ K 2))) (* (* (* -2 J) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (cos (/ K 2))) (* (* (* -2 J) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (cos (/ K 2))) (log (* (* (* -2 J) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (cos (/ K 2)))) (log (* (* (* -2 J) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (cos (/ K 2)))) (log (* (* (* -2 J) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (cos (/ K 2)))) (log (* (* (* -2 J) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (cos (/ K 2)))) (log (* (* (* -2 J) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (cos (/ K 2)))) (exp (* (* (* -2 J) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (cos (/ K 2)))) (* (* (* -8 (* (* J J) J)) (* (* (cos (/ K 2)) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (* (cos (/ K 2)) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (* (* (* -2 J) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (cos (/ K 2))) (* (* (* (* -2 J) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (cos (/ K 2))) (* (* (* -2 J) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (cos (/ K 2))))) (* (* (* -8 (* (* J J) J)) (* (* (cos (/ K 2)) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (* (cos (/ K 2)) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (* (* (* -2 J) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (cos (/ K 2))) (* (* (* (* -2 J) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (cos (/ K 2))) (* (* (* -2 J) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (cos (/ K 2))))) (* (cbrt (* (* (* -2 J) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (cos (/ K 2)))) (cbrt (* (* (* -2 J) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (cos (/ K 2))))) (cbrt (* (* (* -2 J) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (cos (/ K 2)))) (* (* (* (* -2 J) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (cos (/ K 2))) (* (* (* (* -2 J) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (cos (/ K 2))) (* (* (* -2 J) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (cos (/ K 2))))) (sqrt (* (* (* -2 J) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (cos (/ K 2)))) (sqrt (* (* (* -2 J) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (cos (/ K 2)))) (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* -2 (cos (/ K 2)))) (* (cos (/ K 2)) (* -2 J)) (real->posit16 (* (* (* -2 J) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (cos (/ K 2)))) (expm1 (/ (/ U (* J 2)) (cos (/ K 2)))) (log1p (/ (/ U (* J 2)) (cos (/ K 2)))) (log (/ (/ U (* J 2)) (cos (/ K 2)))) (log (/ (/ U (* J 2)) (cos (/ K 2)))) (log (/ (/ U (* J 2)) (cos (/ K 2)))) (log (/ (/ U (* J 2)) (cos (/ K 2)))) (exp (/ (/ U (* J 2)) (cos (/ K 2)))) (/ (/ (* (/ (* U U) (* (* 8 J) J)) (/ U J)) (* (cos (/ K 2)) (cos (/ K 2)))) (cos (/ K 2))) (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))) (cbrt (/ (/ U (* J 2)) (cos (/ K 2))))) (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))) (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (/ (/ U (* J 2)) (cos (/ K 2)))) (sqrt (/ (/ U (* J 2)) (cos (/ K 2)))) (sqrt (/ (/ U (* J 2)) (cos (/ K 2)))) (- U) (* (* -2 J) (cos (/ K 2))) (/ (* (cbrt U) (cbrt U)) (* J 2)) (/ (cbrt U) (cos (/ K 2))) (/ (sqrt U) (* J 2)) (/ (sqrt U) (cos (/ K 2))) (/ 1/2 J) (/ U (cos (/ K 2))) (/ (/ 1/2 J) (cos (/ K 2))) (* (/ (* J 2) U) (cos (/ K 2))) (/ (/ U 2) J) (* (/ (* J 2) (cbrt U)) (cos (/ K 2))) (* (/ (* J 2) (sqrt U)) (cos (/ K 2))) (* (/ (* J 2) U) (cos (/ K 2))) (real->posit16 (/ (/ U (* J 2)) (cos (/ K 2)))) (expm1 (* (* 2 J) (cos (/ K 2)))) (log1p (* (* 2 J) (cos (/ K 2)))) (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2))) (log (* (* 2 J) (cos (/ K 2)))) (log (* (* 2 J) (cos (/ K 2)))) (log (* (* 2 J) (cos (/ K 2)))) (exp (* (* 2 J) (cos (/ K 2)))) (* (* (* (* (* J J) J) 8) (* (cos (/ K 2)) (cos (/ K 2)))) (cos (/ K 2))) (* (* (* 2 J) (cos (/ K 2))) (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2))))) (* (cbrt (* (* 2 J) (cos (/ K 2)))) (cbrt (* (* 2 J) (cos (/ K 2))))) (cbrt (* (* 2 J) (cos (/ K 2)))) (* (* (* 2 J) (cos (/ K 2))) (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2))))) (sqrt (* (* 2 J) (cos (/ K 2)))) (sqrt (* (* 2 J) (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (* (* J 2) (cbrt (cos (/ K 2))))) (* (* 2 J) (sqrt (cos (/ K 2)))) (* J 2) (* J (cos (/ K 2))) (real->posit16 (* (* 2 J) (cos (/ K 2)))) (expm1 (* (cos (/ K 2)) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) (log1p (* (cos (/ K 2)) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (cos (/ K 2)) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (log (* (cos (/ K 2)) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) (log (* (cos (/ K 2)) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) (exp (* (cos (/ K 2)) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (* (cos (/ K 2)) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (* (* (cos (/ K 2)) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (* (cos (/ K 2)) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cbrt (* (cos (/ K 2)) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) (cbrt (* (cos (/ K 2)) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))) (cbrt (* (cos (/ K 2)) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (* (cos (/ K 2)) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (* (* (cos (/ K 2)) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (* (cos (/ K 2)) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))) (sqrt (* (cos (/ K 2)) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) (sqrt (* (cos (/ K 2)) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (sqrt (cos (/ K 2)))) (* (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (sqrt (cos (/ K 2)))) (* (* (cbrt (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (sqrt (cos (/ K 2)))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* (cbrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (cos (/ K 2))) (* (cos (/ K 2)) (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (cos (/ K 2)) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (real->posit16 (* (cos (/ K 2)) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) (fma -2 J (* -1/4 (/ (* U U) J))) (- U) (- U) (fma (/ (* K K) (/ J U)) 1/16 (/ 1/2 (/ J U))) (/ (/ 1/2 (/ J U)) (cos (* 1/2 K))) (/ (/ 1/2 (/ J U)) (cos (* 1/2 K))) (* J 2) (* 2 (* (cos (* 1/2 K)) J)) (* 2 (* (cos (* 1/2 K)) J)) 1 (/ 1/2 (/ J U)) (/ 1/2 (/ J U)) 5.829 * * * [progress]: adding candidates to table 6.434 * * [progress]: iteration 3 / 4 6.434 * * * [progress]: picking best candidate 6.466 * * * * [pick]: Picked # 6.466 * * * [progress]: localizing error 6.536 * * * [progress]: generating rewritten candidates 6.536 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 6.538 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 6.541 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 6.691 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 6.734 * * * [progress]: generating series expansions 6.734 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 6.734 * [backup-simplify]: Simplify (sqrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2)))))) into (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) 6.735 * [approximate]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in (U J K) around 0 6.735 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in K 6.735 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 6.735 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 6.735 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in K 6.735 * [taylor]: Taking taylor expansion of (* 1 1) in K 6.735 * [taylor]: Taking taylor expansion of 1 in K 6.735 * [backup-simplify]: Simplify 1 into 1 6.735 * [taylor]: Taking taylor expansion of 1 in K 6.735 * [backup-simplify]: Simplify 1 into 1 6.735 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 6.735 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 6.735 * [taylor]: Taking taylor expansion of 1/2 in K 6.735 * [backup-simplify]: Simplify 1/2 into 1/2 6.735 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 6.735 * [taylor]: Taking taylor expansion of U in K 6.735 * [backup-simplify]: Simplify U into U 6.735 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 6.735 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 6.735 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 6.735 * [taylor]: Taking taylor expansion of 1/2 in K 6.735 * [backup-simplify]: Simplify 1/2 into 1/2 6.735 * [taylor]: Taking taylor expansion of K in K 6.735 * [backup-simplify]: Simplify 0 into 0 6.735 * [backup-simplify]: Simplify 1 into 1 6.736 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.737 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.737 * [taylor]: Taking taylor expansion of J in K 6.737 * [backup-simplify]: Simplify J into J 6.737 * [backup-simplify]: Simplify (* 1 J) into J 6.737 * [backup-simplify]: Simplify (/ U J) into (/ U J) 6.737 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 6.737 * [taylor]: Taking taylor expansion of 1/2 in K 6.737 * [backup-simplify]: Simplify 1/2 into 1/2 6.737 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 6.737 * [taylor]: Taking taylor expansion of U in K 6.737 * [backup-simplify]: Simplify U into U 6.737 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 6.737 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 6.737 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 6.737 * [taylor]: Taking taylor expansion of 1/2 in K 6.737 * [backup-simplify]: Simplify 1/2 into 1/2 6.737 * [taylor]: Taking taylor expansion of K in K 6.737 * [backup-simplify]: Simplify 0 into 0 6.737 * [backup-simplify]: Simplify 1 into 1 6.738 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.739 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.739 * [taylor]: Taking taylor expansion of J in K 6.739 * [backup-simplify]: Simplify J into J 6.739 * [backup-simplify]: Simplify (* 1 J) into J 6.739 * [backup-simplify]: Simplify (/ U J) into (/ U J) 6.739 * [backup-simplify]: Simplify (* 1 1) into 1 6.739 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 6.739 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 6.740 * [backup-simplify]: Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2))) 6.740 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 6.740 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 6.741 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.741 * [backup-simplify]: Simplify (+ 0) into 0 6.742 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 6.742 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 6.742 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 6.743 * [backup-simplify]: Simplify (+ 0) into 0 6.743 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 6.743 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 6.744 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 6.745 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))) into 0 6.745 * [backup-simplify]: Simplify (+ 0 0) into 0 6.745 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 6.746 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4) 6.746 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) into 0 6.746 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in J 6.746 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 6.746 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 6.746 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in J 6.746 * [taylor]: Taking taylor expansion of (* 1 1) in J 6.746 * [taylor]: Taking taylor expansion of 1 in J 6.746 * [backup-simplify]: Simplify 1 into 1 6.746 * [taylor]: Taking taylor expansion of 1 in J 6.746 * [backup-simplify]: Simplify 1 into 1 6.746 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 6.746 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 6.746 * [taylor]: Taking taylor expansion of 1/2 in J 6.746 * [backup-simplify]: Simplify 1/2 into 1/2 6.746 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 6.746 * [taylor]: Taking taylor expansion of U in J 6.746 * [backup-simplify]: Simplify U into U 6.746 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 6.746 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 6.746 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 6.746 * [taylor]: Taking taylor expansion of 1/2 in J 6.747 * [backup-simplify]: Simplify 1/2 into 1/2 6.747 * [taylor]: Taking taylor expansion of K in J 6.747 * [backup-simplify]: Simplify K into K 6.747 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.747 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.747 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.747 * [taylor]: Taking taylor expansion of J in J 6.747 * [backup-simplify]: Simplify 0 into 0 6.747 * [backup-simplify]: Simplify 1 into 1 6.747 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.747 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.747 * [backup-simplify]: Simplify (- 0) into 0 6.748 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.748 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 6.748 * [backup-simplify]: Simplify (+ 0) into 0 6.748 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 6.749 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 6.750 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.750 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 6.750 * [backup-simplify]: Simplify (- 0) into 0 6.751 * [backup-simplify]: Simplify (+ 0 0) into 0 6.751 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 6.751 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 6.751 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 6.751 * [taylor]: Taking taylor expansion of 1/2 in J 6.751 * [backup-simplify]: Simplify 1/2 into 1/2 6.751 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 6.751 * [taylor]: Taking taylor expansion of U in J 6.751 * [backup-simplify]: Simplify U into U 6.751 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 6.752 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 6.752 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 6.752 * [taylor]: Taking taylor expansion of 1/2 in J 6.752 * [backup-simplify]: Simplify 1/2 into 1/2 6.752 * [taylor]: Taking taylor expansion of K in J 6.752 * [backup-simplify]: Simplify K into K 6.752 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.752 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.752 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.752 * [taylor]: Taking taylor expansion of J in J 6.752 * [backup-simplify]: Simplify 0 into 0 6.752 * [backup-simplify]: Simplify 1 into 1 6.752 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.752 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.752 * [backup-simplify]: Simplify (- 0) into 0 6.752 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.753 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 6.753 * [backup-simplify]: Simplify (+ 0) into 0 6.753 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 6.754 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 6.755 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.755 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 6.755 * [backup-simplify]: Simplify (- 0) into 0 6.756 * [backup-simplify]: Simplify (+ 0 0) into 0 6.756 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 6.756 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 6.756 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 6.757 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 6.757 * [backup-simplify]: Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 6.757 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 6.757 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 6.758 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.759 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.760 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 6.761 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.761 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.762 * [backup-simplify]: Simplify (- 0) into 0 6.762 * [backup-simplify]: Simplify (+ 0 0) into 0 6.763 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 6.763 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 6.764 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 6.765 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.766 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.766 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 6.767 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.768 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.768 * [backup-simplify]: Simplify (- 0) into 0 6.769 * [backup-simplify]: Simplify (+ 0 0) into 0 6.769 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 6.770 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 6.770 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 6.770 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0 6.771 * [backup-simplify]: Simplify (+ 0 0) into 0 6.771 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 6.772 * [backup-simplify]: Simplify (sqrt 0) into 0 6.772 * [backup-simplify]: Simplify (/ (* 1/2 (/ U (cos (* 1/2 K)))) (* 2 (sqrt 0))) into (* +nan.0 (/ U (cos (* 1/2 K)))) 6.772 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 6.772 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 6.773 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 6.773 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 6.773 * [taylor]: Taking taylor expansion of (* 1 1) in U 6.773 * [taylor]: Taking taylor expansion of 1 in U 6.773 * [backup-simplify]: Simplify 1 into 1 6.773 * [taylor]: Taking taylor expansion of 1 in U 6.773 * [backup-simplify]: Simplify 1 into 1 6.773 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 6.773 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 6.773 * [taylor]: Taking taylor expansion of 1/2 in U 6.773 * [backup-simplify]: Simplify 1/2 into 1/2 6.773 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 6.773 * [taylor]: Taking taylor expansion of U in U 6.773 * [backup-simplify]: Simplify 0 into 0 6.773 * [backup-simplify]: Simplify 1 into 1 6.773 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 6.773 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 6.773 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 6.773 * [taylor]: Taking taylor expansion of 1/2 in U 6.773 * [backup-simplify]: Simplify 1/2 into 1/2 6.773 * [taylor]: Taking taylor expansion of K in U 6.773 * [backup-simplify]: Simplify K into K 6.773 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.773 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.773 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.773 * [taylor]: Taking taylor expansion of J in U 6.773 * [backup-simplify]: Simplify J into J 6.774 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.774 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.774 * [backup-simplify]: Simplify (- 0) into 0 6.774 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.774 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 6.774 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 6.774 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 6.774 * [taylor]: Taking taylor expansion of 1/2 in U 6.775 * [backup-simplify]: Simplify 1/2 into 1/2 6.775 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 6.775 * [taylor]: Taking taylor expansion of U in U 6.775 * [backup-simplify]: Simplify 0 into 0 6.775 * [backup-simplify]: Simplify 1 into 1 6.775 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 6.775 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 6.775 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 6.775 * [taylor]: Taking taylor expansion of 1/2 in U 6.775 * [backup-simplify]: Simplify 1/2 into 1/2 6.775 * [taylor]: Taking taylor expansion of K in U 6.775 * [backup-simplify]: Simplify K into K 6.775 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.775 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.775 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.775 * [taylor]: Taking taylor expansion of J in U 6.775 * [backup-simplify]: Simplify J into J 6.775 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.775 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.776 * [backup-simplify]: Simplify (- 0) into 0 6.776 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.776 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 6.776 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 6.776 * [backup-simplify]: Simplify (* 1 1) into 1 6.777 * [backup-simplify]: Simplify (+ 1 0) into 1 6.777 * [backup-simplify]: Simplify (sqrt 1) into 1 6.778 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.778 * [backup-simplify]: Simplify (+ 0 0) into 0 6.779 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.779 * [backup-simplify]: Simplify (sqrt 1) into 1 6.780 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.780 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 6.780 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 6.780 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 6.780 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 6.780 * [taylor]: Taking taylor expansion of (* 1 1) in U 6.780 * [taylor]: Taking taylor expansion of 1 in U 6.780 * [backup-simplify]: Simplify 1 into 1 6.780 * [taylor]: Taking taylor expansion of 1 in U 6.781 * [backup-simplify]: Simplify 1 into 1 6.781 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 6.781 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 6.781 * [taylor]: Taking taylor expansion of 1/2 in U 6.781 * [backup-simplify]: Simplify 1/2 into 1/2 6.781 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 6.781 * [taylor]: Taking taylor expansion of U in U 6.781 * [backup-simplify]: Simplify 0 into 0 6.781 * [backup-simplify]: Simplify 1 into 1 6.781 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 6.781 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 6.781 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 6.781 * [taylor]: Taking taylor expansion of 1/2 in U 6.781 * [backup-simplify]: Simplify 1/2 into 1/2 6.781 * [taylor]: Taking taylor expansion of K in U 6.781 * [backup-simplify]: Simplify K into K 6.781 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.781 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.781 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.781 * [taylor]: Taking taylor expansion of J in U 6.781 * [backup-simplify]: Simplify J into J 6.781 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.781 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.782 * [backup-simplify]: Simplify (- 0) into 0 6.782 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.782 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 6.782 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 6.782 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 6.782 * [taylor]: Taking taylor expansion of 1/2 in U 6.782 * [backup-simplify]: Simplify 1/2 into 1/2 6.782 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 6.782 * [taylor]: Taking taylor expansion of U in U 6.782 * [backup-simplify]: Simplify 0 into 0 6.782 * [backup-simplify]: Simplify 1 into 1 6.782 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 6.782 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 6.782 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 6.782 * [taylor]: Taking taylor expansion of 1/2 in U 6.782 * [backup-simplify]: Simplify 1/2 into 1/2 6.782 * [taylor]: Taking taylor expansion of K in U 6.782 * [backup-simplify]: Simplify K into K 6.782 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.782 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.782 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.782 * [taylor]: Taking taylor expansion of J in U 6.782 * [backup-simplify]: Simplify J into J 6.782 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.783 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.783 * [backup-simplify]: Simplify (- 0) into 0 6.783 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.783 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 6.783 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 6.784 * [backup-simplify]: Simplify (* 1 1) into 1 6.784 * [backup-simplify]: Simplify (+ 1 0) into 1 6.784 * [backup-simplify]: Simplify (sqrt 1) into 1 6.785 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.785 * [backup-simplify]: Simplify (+ 0 0) into 0 6.786 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.786 * [backup-simplify]: Simplify (sqrt 1) into 1 6.787 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.787 * [taylor]: Taking taylor expansion of 1 in J 6.787 * [backup-simplify]: Simplify 1 into 1 6.787 * [taylor]: Taking taylor expansion of 0 in J 6.787 * [backup-simplify]: Simplify 0 into 0 6.787 * [taylor]: Taking taylor expansion of 1 in K 6.787 * [backup-simplify]: Simplify 1 into 1 6.787 * [backup-simplify]: Simplify 1 into 1 6.788 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.788 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 6.788 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 6.788 * [backup-simplify]: Simplify (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 1/2 (* (cos (* 1/2 K)) J))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 6.789 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 6.790 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 6.792 * [backup-simplify]: Simplify (/ (- (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 6.792 * [taylor]: Taking taylor expansion of (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 6.792 * [taylor]: Taking taylor expansion of 1/16 in J 6.792 * [backup-simplify]: Simplify 1/16 into 1/16 6.792 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 6.792 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 6.792 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 6.792 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 6.792 * [taylor]: Taking taylor expansion of 1/2 in J 6.792 * [backup-simplify]: Simplify 1/2 into 1/2 6.792 * [taylor]: Taking taylor expansion of K in J 6.792 * [backup-simplify]: Simplify K into K 6.792 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.792 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.792 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.792 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.792 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.793 * [backup-simplify]: Simplify (- 0) into 0 6.793 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.793 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.793 * [taylor]: Taking taylor expansion of J in J 6.793 * [backup-simplify]: Simplify 0 into 0 6.793 * [backup-simplify]: Simplify 1 into 1 6.793 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 6.793 * [backup-simplify]: Simplify (* 1 1) into 1 6.794 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 6.794 * [backup-simplify]: Simplify (/ 1/16 (pow (cos (* 1/2 K)) 2)) into (/ 1/16 (pow (cos (* 1/2 K)) 2)) 6.794 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.795 * [backup-simplify]: Simplify (+ 0) into 0 6.795 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 6.796 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 6.796 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.797 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 6.797 * [backup-simplify]: Simplify (- 0) into 0 6.797 * [backup-simplify]: Simplify (+ 0 0) into 0 6.798 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 6.798 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 6.798 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/16 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 6.799 * [taylor]: Taking taylor expansion of 0 in K 6.799 * [backup-simplify]: Simplify 0 into 0 6.799 * [backup-simplify]: Simplify 0 into 0 6.799 * [taylor]: Taking taylor expansion of 0 in K 6.799 * [backup-simplify]: Simplify 0 into 0 6.799 * [backup-simplify]: Simplify 0 into 0 6.799 * [taylor]: Taking taylor expansion of 0 in K 6.799 * [backup-simplify]: Simplify 0 into 0 6.799 * [backup-simplify]: Simplify 0 into 0 6.799 * [backup-simplify]: Simplify 0 into 0 6.800 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.800 * [backup-simplify]: Simplify (+ 0) into 0 6.801 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 6.801 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 6.802 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.803 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 6.803 * [backup-simplify]: Simplify (- 0) into 0 6.803 * [backup-simplify]: Simplify (+ 0 0) into 0 6.803 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 6.804 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 6.804 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 6.805 * [backup-simplify]: Simplify (+ 0) into 0 6.805 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 6.806 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 6.806 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.807 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 6.807 * [backup-simplify]: Simplify (- 0) into 0 6.808 * [backup-simplify]: Simplify (+ 0 0) into 0 6.808 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 6.808 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 6.809 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 6.809 * [backup-simplify]: Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J)))) into 0 6.810 * [backup-simplify]: Simplify (+ 0 0) into 0 6.810 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 6.811 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 6.811 * [taylor]: Taking taylor expansion of 0 in J 6.811 * [backup-simplify]: Simplify 0 into 0 6.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.814 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.814 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.815 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 6.816 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.817 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.817 * [backup-simplify]: Simplify (- 0) into 0 6.817 * [backup-simplify]: Simplify (+ 0 0) into 0 6.818 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 6.819 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 6.820 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/16 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 6.820 * [taylor]: Taking taylor expansion of 0 in K 6.820 * [backup-simplify]: Simplify 0 into 0 6.820 * [backup-simplify]: Simplify 0 into 0 6.820 * [taylor]: Taking taylor expansion of 0 in K 6.820 * [backup-simplify]: Simplify 0 into 0 6.820 * [backup-simplify]: Simplify 0 into 0 6.820 * [backup-simplify]: Simplify 1 into 1 6.820 * [backup-simplify]: Simplify (sqrt (hypot 1 (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) into (sqrt (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 6.820 * [approximate]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in (U J K) around 0 6.820 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in K 6.820 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 6.820 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 6.820 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in K 6.820 * [taylor]: Taking taylor expansion of (* 1 1) in K 6.821 * [taylor]: Taking taylor expansion of 1 in K 6.821 * [backup-simplify]: Simplify 1 into 1 6.821 * [taylor]: Taking taylor expansion of 1 in K 6.821 * [backup-simplify]: Simplify 1 into 1 6.821 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 6.821 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 6.821 * [taylor]: Taking taylor expansion of 1/2 in K 6.821 * [backup-simplify]: Simplify 1/2 into 1/2 6.821 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 6.821 * [taylor]: Taking taylor expansion of J in K 6.821 * [backup-simplify]: Simplify J into J 6.821 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 6.821 * [taylor]: Taking taylor expansion of U in K 6.821 * [backup-simplify]: Simplify U into U 6.821 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 6.821 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 6.821 * [taylor]: Taking taylor expansion of 1/2 in K 6.821 * [backup-simplify]: Simplify 1/2 into 1/2 6.821 * [taylor]: Taking taylor expansion of K in K 6.821 * [backup-simplify]: Simplify 0 into 0 6.821 * [backup-simplify]: Simplify 1 into 1 6.822 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.822 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.822 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 6.822 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 6.822 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 6.822 * [taylor]: Taking taylor expansion of 1/2 in K 6.822 * [backup-simplify]: Simplify 1/2 into 1/2 6.822 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 6.822 * [taylor]: Taking taylor expansion of J in K 6.823 * [backup-simplify]: Simplify J into J 6.823 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 6.823 * [taylor]: Taking taylor expansion of U in K 6.823 * [backup-simplify]: Simplify U into U 6.823 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 6.823 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 6.823 * [taylor]: Taking taylor expansion of 1/2 in K 6.823 * [backup-simplify]: Simplify 1/2 into 1/2 6.823 * [taylor]: Taking taylor expansion of K in K 6.823 * [backup-simplify]: Simplify 0 into 0 6.823 * [backup-simplify]: Simplify 1 into 1 6.823 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.823 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.824 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 6.824 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 6.824 * [backup-simplify]: Simplify (* 1 1) into 1 6.824 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 6.824 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 6.825 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 6.825 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 6.825 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 6.828 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.828 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 6.829 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 6.829 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 6.830 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 6.830 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 6.830 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 6.831 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into 0 6.831 * [backup-simplify]: Simplify (+ 0 0) into 0 6.831 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 6.832 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) 6.832 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))))) into 0 6.832 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in J 6.832 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 6.832 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 6.832 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in J 6.832 * [taylor]: Taking taylor expansion of (* 1 1) in J 6.832 * [taylor]: Taking taylor expansion of 1 in J 6.832 * [backup-simplify]: Simplify 1 into 1 6.833 * [taylor]: Taking taylor expansion of 1 in J 6.833 * [backup-simplify]: Simplify 1 into 1 6.833 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 6.833 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 6.833 * [taylor]: Taking taylor expansion of 1/2 in J 6.833 * [backup-simplify]: Simplify 1/2 into 1/2 6.833 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 6.833 * [taylor]: Taking taylor expansion of J in J 6.833 * [backup-simplify]: Simplify 0 into 0 6.833 * [backup-simplify]: Simplify 1 into 1 6.833 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 6.833 * [taylor]: Taking taylor expansion of U in J 6.833 * [backup-simplify]: Simplify U into U 6.833 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.833 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.833 * [taylor]: Taking taylor expansion of 1/2 in J 6.833 * [backup-simplify]: Simplify 1/2 into 1/2 6.833 * [taylor]: Taking taylor expansion of K in J 6.833 * [backup-simplify]: Simplify K into K 6.833 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.833 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.833 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.833 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.833 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.834 * [backup-simplify]: Simplify (- 0) into 0 6.834 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.834 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 6.834 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 6.834 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 6.834 * [taylor]: Taking taylor expansion of 1/2 in J 6.834 * [backup-simplify]: Simplify 1/2 into 1/2 6.834 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 6.834 * [taylor]: Taking taylor expansion of J in J 6.834 * [backup-simplify]: Simplify 0 into 0 6.834 * [backup-simplify]: Simplify 1 into 1 6.834 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 6.834 * [taylor]: Taking taylor expansion of U in J 6.834 * [backup-simplify]: Simplify U into U 6.834 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.834 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.834 * [taylor]: Taking taylor expansion of 1/2 in J 6.834 * [backup-simplify]: Simplify 1/2 into 1/2 6.834 * [taylor]: Taking taylor expansion of K in J 6.834 * [backup-simplify]: Simplify K into K 6.834 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.834 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.835 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.835 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.835 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.835 * [backup-simplify]: Simplify (- 0) into 0 6.835 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.835 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 6.835 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 6.836 * [backup-simplify]: Simplify (* 1 1) into 1 6.836 * [backup-simplify]: Simplify (+ 1 0) into 1 6.836 * [backup-simplify]: Simplify (sqrt 1) into 1 6.837 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.837 * [backup-simplify]: Simplify (+ 0 0) into 0 6.838 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.838 * [backup-simplify]: Simplify (sqrt 1) into 1 6.839 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.839 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 6.839 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 6.839 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 6.839 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 6.839 * [taylor]: Taking taylor expansion of (* 1 1) in U 6.839 * [taylor]: Taking taylor expansion of 1 in U 6.839 * [backup-simplify]: Simplify 1 into 1 6.839 * [taylor]: Taking taylor expansion of 1 in U 6.839 * [backup-simplify]: Simplify 1 into 1 6.839 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 6.839 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 6.839 * [taylor]: Taking taylor expansion of 1/2 in U 6.839 * [backup-simplify]: Simplify 1/2 into 1/2 6.839 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 6.839 * [taylor]: Taking taylor expansion of J in U 6.840 * [backup-simplify]: Simplify J into J 6.840 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 6.840 * [taylor]: Taking taylor expansion of U in U 6.840 * [backup-simplify]: Simplify 0 into 0 6.840 * [backup-simplify]: Simplify 1 into 1 6.840 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 6.840 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 6.840 * [taylor]: Taking taylor expansion of 1/2 in U 6.840 * [backup-simplify]: Simplify 1/2 into 1/2 6.840 * [taylor]: Taking taylor expansion of K in U 6.840 * [backup-simplify]: Simplify K into K 6.840 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.840 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.840 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.840 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.840 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.840 * [backup-simplify]: Simplify (- 0) into 0 6.840 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.841 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 6.841 * [backup-simplify]: Simplify (+ 0) into 0 6.841 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.841 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.842 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.842 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.842 * [backup-simplify]: Simplify (- 0) into 0 6.842 * [backup-simplify]: Simplify (+ 0 0) into 0 6.843 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 6.843 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 6.843 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 6.843 * [taylor]: Taking taylor expansion of 1/2 in U 6.843 * [backup-simplify]: Simplify 1/2 into 1/2 6.843 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 6.843 * [taylor]: Taking taylor expansion of J in U 6.843 * [backup-simplify]: Simplify J into J 6.843 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 6.843 * [taylor]: Taking taylor expansion of U in U 6.843 * [backup-simplify]: Simplify 0 into 0 6.843 * [backup-simplify]: Simplify 1 into 1 6.843 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 6.843 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 6.843 * [taylor]: Taking taylor expansion of 1/2 in U 6.843 * [backup-simplify]: Simplify 1/2 into 1/2 6.843 * [taylor]: Taking taylor expansion of K in U 6.843 * [backup-simplify]: Simplify K into K 6.843 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.843 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.843 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.843 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.843 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.843 * [backup-simplify]: Simplify (- 0) into 0 6.844 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.844 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 6.844 * [backup-simplify]: Simplify (+ 0) into 0 6.844 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.844 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.845 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.845 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.845 * [backup-simplify]: Simplify (- 0) into 0 6.845 * [backup-simplify]: Simplify (+ 0 0) into 0 6.846 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 6.846 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 6.846 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 6.846 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 6.846 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 6.846 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 6.846 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 6.847 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.847 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.848 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.848 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.849 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.849 * [backup-simplify]: Simplify (- 0) into 0 6.849 * [backup-simplify]: Simplify (+ 0 0) into 0 6.850 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 6.850 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 6.850 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 6.851 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.851 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.851 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.852 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.852 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.852 * [backup-simplify]: Simplify (- 0) into 0 6.852 * [backup-simplify]: Simplify (+ 0 0) into 0 6.853 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 6.853 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 6.853 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 6.854 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 6.854 * [backup-simplify]: Simplify (+ 0 0) into 0 6.854 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 6.854 * [backup-simplify]: Simplify (sqrt 0) into 0 6.855 * [backup-simplify]: Simplify (/ (* 1/2 (/ J (cos (/ 1/2 K)))) (* 2 (sqrt 0))) into (* +nan.0 (/ J (cos (/ 1/2 K)))) 6.855 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 6.855 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 6.855 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 6.855 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 6.855 * [taylor]: Taking taylor expansion of (* 1 1) in U 6.855 * [taylor]: Taking taylor expansion of 1 in U 6.855 * [backup-simplify]: Simplify 1 into 1 6.855 * [taylor]: Taking taylor expansion of 1 in U 6.855 * [backup-simplify]: Simplify 1 into 1 6.855 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 6.855 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 6.855 * [taylor]: Taking taylor expansion of 1/2 in U 6.855 * [backup-simplify]: Simplify 1/2 into 1/2 6.855 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 6.855 * [taylor]: Taking taylor expansion of J in U 6.855 * [backup-simplify]: Simplify J into J 6.855 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 6.855 * [taylor]: Taking taylor expansion of U in U 6.855 * [backup-simplify]: Simplify 0 into 0 6.855 * [backup-simplify]: Simplify 1 into 1 6.855 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 6.855 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 6.855 * [taylor]: Taking taylor expansion of 1/2 in U 6.855 * [backup-simplify]: Simplify 1/2 into 1/2 6.855 * [taylor]: Taking taylor expansion of K in U 6.855 * [backup-simplify]: Simplify K into K 6.855 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.855 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.855 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.855 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.855 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.856 * [backup-simplify]: Simplify (- 0) into 0 6.856 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.856 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 6.856 * [backup-simplify]: Simplify (+ 0) into 0 6.856 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.856 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.857 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.857 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.857 * [backup-simplify]: Simplify (- 0) into 0 6.858 * [backup-simplify]: Simplify (+ 0 0) into 0 6.858 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 6.858 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 6.858 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 6.858 * [taylor]: Taking taylor expansion of 1/2 in U 6.858 * [backup-simplify]: Simplify 1/2 into 1/2 6.858 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 6.858 * [taylor]: Taking taylor expansion of J in U 6.858 * [backup-simplify]: Simplify J into J 6.858 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 6.858 * [taylor]: Taking taylor expansion of U in U 6.858 * [backup-simplify]: Simplify 0 into 0 6.858 * [backup-simplify]: Simplify 1 into 1 6.858 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 6.858 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 6.858 * [taylor]: Taking taylor expansion of 1/2 in U 6.858 * [backup-simplify]: Simplify 1/2 into 1/2 6.858 * [taylor]: Taking taylor expansion of K in U 6.858 * [backup-simplify]: Simplify K into K 6.858 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.858 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.858 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.858 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.858 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.859 * [backup-simplify]: Simplify (- 0) into 0 6.859 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.859 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 6.859 * [backup-simplify]: Simplify (+ 0) into 0 6.859 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.859 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.860 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.860 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.860 * [backup-simplify]: Simplify (- 0) into 0 6.861 * [backup-simplify]: Simplify (+ 0 0) into 0 6.861 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 6.861 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 6.861 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 6.861 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 6.861 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 6.861 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 6.862 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 6.862 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.863 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.863 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.863 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.864 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.864 * [backup-simplify]: Simplify (- 0) into 0 6.864 * [backup-simplify]: Simplify (+ 0 0) into 0 6.865 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 6.865 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 6.865 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 6.866 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.866 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.866 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.867 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.867 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.867 * [backup-simplify]: Simplify (- 0) into 0 6.867 * [backup-simplify]: Simplify (+ 0 0) into 0 6.868 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 6.868 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 6.868 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 6.869 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 6.869 * [backup-simplify]: Simplify (+ 0 0) into 0 6.869 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 6.869 * [backup-simplify]: Simplify (sqrt 0) into 0 6.870 * [backup-simplify]: Simplify (/ (* 1/2 (/ J (cos (/ 1/2 K)))) (* 2 (sqrt 0))) into (* +nan.0 (/ J (cos (/ 1/2 K)))) 6.870 * [taylor]: Taking taylor expansion of 0 in J 6.870 * [backup-simplify]: Simplify 0 into 0 6.870 * [taylor]: Taking taylor expansion of 0 in K 6.870 * [backup-simplify]: Simplify 0 into 0 6.870 * [backup-simplify]: Simplify 0 into 0 6.870 * [taylor]: Taking taylor expansion of (* +nan.0 (/ J (cos (/ 1/2 K)))) in J 6.870 * [taylor]: Taking taylor expansion of +nan.0 in J 6.870 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.870 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 6.870 * [taylor]: Taking taylor expansion of J in J 6.870 * [backup-simplify]: Simplify 0 into 0 6.870 * [backup-simplify]: Simplify 1 into 1 6.870 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.870 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.870 * [taylor]: Taking taylor expansion of 1/2 in J 6.870 * [backup-simplify]: Simplify 1/2 into 1/2 6.870 * [taylor]: Taking taylor expansion of K in J 6.870 * [backup-simplify]: Simplify K into K 6.870 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.870 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.870 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.870 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.870 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.871 * [backup-simplify]: Simplify (- 0) into 0 6.871 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.871 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 6.871 * [taylor]: Taking taylor expansion of 0 in K 6.871 * [backup-simplify]: Simplify 0 into 0 6.871 * [backup-simplify]: Simplify 0 into 0 6.871 * [backup-simplify]: Simplify 0 into 0 6.871 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 (/ J (cos (/ 1/2 K)))) 2) (+)) (* 2 0)) into (* +nan.0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 6.871 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 6.871 * [taylor]: Taking taylor expansion of +nan.0 in J 6.871 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.871 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 6.871 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.871 * [taylor]: Taking taylor expansion of J in J 6.872 * [backup-simplify]: Simplify 0 into 0 6.872 * [backup-simplify]: Simplify 1 into 1 6.872 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 6.872 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.872 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.872 * [taylor]: Taking taylor expansion of 1/2 in J 6.872 * [backup-simplify]: Simplify 1/2 into 1/2 6.872 * [taylor]: Taking taylor expansion of K in J 6.872 * [backup-simplify]: Simplify K into K 6.872 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.872 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.872 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.872 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.872 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.872 * [backup-simplify]: Simplify (- 0) into 0 6.872 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.872 * [backup-simplify]: Simplify (* 1 1) into 1 6.873 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.873 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 6.873 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (cos (/ 1/2 K)))) into (/ +nan.0 (cos (/ 1/2 K))) 6.873 * [taylor]: Taking taylor expansion of (/ +nan.0 (cos (/ 1/2 K))) in K 6.873 * [taylor]: Taking taylor expansion of +nan.0 in K 6.873 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.873 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 6.873 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 6.873 * [taylor]: Taking taylor expansion of 1/2 in K 6.873 * [backup-simplify]: Simplify 1/2 into 1/2 6.873 * [taylor]: Taking taylor expansion of K in K 6.873 * [backup-simplify]: Simplify 0 into 0 6.873 * [backup-simplify]: Simplify 1 into 1 6.873 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.873 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.873 * [backup-simplify]: Simplify (/ +nan.0 (cos (/ 1/2 K))) into (/ +nan.0 (cos (/ 1/2 K))) 6.873 * [backup-simplify]: Simplify (/ +nan.0 (cos (/ 1/2 K))) into (/ +nan.0 (cos (/ 1/2 K))) 6.873 * [taylor]: Taking taylor expansion of 0 in K 6.873 * [backup-simplify]: Simplify 0 into 0 6.873 * [backup-simplify]: Simplify 0 into 0 6.873 * [backup-simplify]: Simplify 0 into 0 6.873 * [backup-simplify]: Simplify 0 into 0 6.874 * [backup-simplify]: Simplify (* 1 1) into 1 6.874 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.875 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.875 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.876 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 6.876 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 6.876 * [backup-simplify]: Simplify (- 0) into 0 6.877 * [backup-simplify]: Simplify (+ 0 0) into 0 6.878 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 6.878 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 6.879 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 6.880 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.881 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.881 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.883 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 6.883 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 6.884 * [backup-simplify]: Simplify (- 0) into 0 6.884 * [backup-simplify]: Simplify (+ 0 0) into 0 6.885 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 6.885 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 6.886 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 6.886 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K))))))) into 0 6.886 * [backup-simplify]: Simplify (+ 1 0) into 1 6.887 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 6.888 * [backup-simplify]: Simplify (/ (- (/ (cos (/ 1/2 K)) J) (+ (* 2 (* (* +nan.0 (/ J (cos (/ 1/2 K)))) (* +nan.0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))))) (* 2 0)) into (* +nan.0 (- (/ (cos (/ 1/2 K)) J) (* +nan.0 (/ (pow J 3) (pow (cos (/ 1/2 K)) 3))))) 6.888 * [taylor]: Taking taylor expansion of (* +nan.0 (- (/ (cos (/ 1/2 K)) J) (* +nan.0 (/ (pow J 3) (pow (cos (/ 1/2 K)) 3))))) in J 6.888 * [taylor]: Taking taylor expansion of +nan.0 in J 6.888 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.888 * [taylor]: Taking taylor expansion of (- (/ (cos (/ 1/2 K)) J) (* +nan.0 (/ (pow J 3) (pow (cos (/ 1/2 K)) 3)))) in J 6.888 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 6.888 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.888 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.888 * [taylor]: Taking taylor expansion of 1/2 in J 6.888 * [backup-simplify]: Simplify 1/2 into 1/2 6.888 * [taylor]: Taking taylor expansion of K in J 6.888 * [backup-simplify]: Simplify K into K 6.888 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.888 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.888 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.888 * [taylor]: Taking taylor expansion of J in J 6.888 * [backup-simplify]: Simplify 0 into 0 6.888 * [backup-simplify]: Simplify 1 into 1 6.888 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.888 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.888 * [backup-simplify]: Simplify (- 0) into 0 6.888 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.889 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.889 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow J 3) (pow (cos (/ 1/2 K)) 3))) in J 6.889 * [taylor]: Taking taylor expansion of +nan.0 in J 6.889 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.889 * [taylor]: Taking taylor expansion of (/ (pow J 3) (pow (cos (/ 1/2 K)) 3)) in J 6.889 * [taylor]: Taking taylor expansion of (pow J 3) in J 6.889 * [taylor]: Taking taylor expansion of J in J 6.889 * [backup-simplify]: Simplify 0 into 0 6.889 * [backup-simplify]: Simplify 1 into 1 6.889 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 3) in J 6.889 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.889 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.889 * [taylor]: Taking taylor expansion of 1/2 in J 6.889 * [backup-simplify]: Simplify 1/2 into 1/2 6.889 * [taylor]: Taking taylor expansion of K in J 6.889 * [backup-simplify]: Simplify K into K 6.889 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.889 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.889 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.889 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.889 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.889 * [backup-simplify]: Simplify (- 0) into 0 6.889 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.890 * [backup-simplify]: Simplify (* 1 1) into 1 6.890 * [backup-simplify]: Simplify (* 1 1) into 1 6.890 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.890 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 3) 6.891 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 3)) into (/ 1 (pow (cos (/ 1/2 K)) 3)) 6.891 * [backup-simplify]: Simplify (+ 0) into 0 6.891 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.891 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.892 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.892 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.892 * [backup-simplify]: Simplify (- 0) into 0 6.892 * [backup-simplify]: Simplify (+ 0 0) into 0 6.893 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 6.894 * [backup-simplify]: Simplify (+ 0 0) into 0 6.894 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.894 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (cos (/ 1/2 K)))) into 0 6.894 * [taylor]: Taking taylor expansion of 0 in K 6.894 * [backup-simplify]: Simplify 0 into 0 6.894 * [backup-simplify]: Simplify 0 into 0 6.894 * [backup-simplify]: Simplify (+ 0) into 0 6.895 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.895 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.895 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.895 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.896 * [backup-simplify]: Simplify (- 0) into 0 6.896 * [backup-simplify]: Simplify (+ 0 0) into 0 6.896 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 6.896 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 6.896 * [taylor]: Taking taylor expansion of 0 in K 6.896 * [backup-simplify]: Simplify 0 into 0 6.896 * [backup-simplify]: Simplify 0 into 0 6.896 * [taylor]: Taking taylor expansion of 0 in K 6.896 * [backup-simplify]: Simplify 0 into 0 6.897 * [backup-simplify]: Simplify 0 into 0 6.897 * [backup-simplify]: Simplify (* (/ +nan.0 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) 1))) into (/ +nan.0 (* (cos (* 1/2 K)) J)) 6.897 * [backup-simplify]: Simplify (sqrt (hypot 1 (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) into (sqrt (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 6.897 * [approximate]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in (U J K) around 0 6.897 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 6.897 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 6.897 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 6.897 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 6.897 * [taylor]: Taking taylor expansion of (* 1 1) in K 6.897 * [taylor]: Taking taylor expansion of 1 in K 6.897 * [backup-simplify]: Simplify 1 into 1 6.897 * [taylor]: Taking taylor expansion of 1 in K 6.897 * [backup-simplify]: Simplify 1 into 1 6.897 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 6.897 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 6.897 * [taylor]: Taking taylor expansion of 1/2 in K 6.897 * [backup-simplify]: Simplify 1/2 into 1/2 6.897 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 6.897 * [taylor]: Taking taylor expansion of J in K 6.897 * [backup-simplify]: Simplify J into J 6.897 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 6.897 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 6.897 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 6.897 * [taylor]: Taking taylor expansion of -1/2 in K 6.897 * [backup-simplify]: Simplify -1/2 into -1/2 6.897 * [taylor]: Taking taylor expansion of K in K 6.897 * [backup-simplify]: Simplify 0 into 0 6.897 * [backup-simplify]: Simplify 1 into 1 6.898 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.898 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.898 * [taylor]: Taking taylor expansion of U in K 6.898 * [backup-simplify]: Simplify U into U 6.898 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 6.898 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 6.898 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 6.898 * [taylor]: Taking taylor expansion of 1/2 in K 6.898 * [backup-simplify]: Simplify 1/2 into 1/2 6.898 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 6.898 * [taylor]: Taking taylor expansion of J in K 6.898 * [backup-simplify]: Simplify J into J 6.898 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 6.898 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 6.898 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 6.898 * [taylor]: Taking taylor expansion of -1/2 in K 6.898 * [backup-simplify]: Simplify -1/2 into -1/2 6.898 * [taylor]: Taking taylor expansion of K in K 6.898 * [backup-simplify]: Simplify 0 into 0 6.898 * [backup-simplify]: Simplify 1 into 1 6.898 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.898 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.898 * [taylor]: Taking taylor expansion of U in K 6.898 * [backup-simplify]: Simplify U into U 6.898 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 6.898 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 6.899 * [backup-simplify]: Simplify (* 1 1) into 1 6.899 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 6.899 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 6.899 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 6.899 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 6.900 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 6.900 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.900 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 6.900 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 6.901 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 6.901 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 6.901 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 6.901 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 6.902 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into 0 6.902 * [backup-simplify]: Simplify (+ 0 0) into 0 6.902 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 6.902 * [backup-simplify]: Simplify (sqrt (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) 6.903 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))))) into 0 6.903 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 6.903 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 6.903 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 6.903 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 6.903 * [taylor]: Taking taylor expansion of (* 1 1) in J 6.903 * [taylor]: Taking taylor expansion of 1 in J 6.903 * [backup-simplify]: Simplify 1 into 1 6.903 * [taylor]: Taking taylor expansion of 1 in J 6.903 * [backup-simplify]: Simplify 1 into 1 6.903 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 6.903 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 6.903 * [taylor]: Taking taylor expansion of 1/2 in J 6.903 * [backup-simplify]: Simplify 1/2 into 1/2 6.903 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) 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 (* (cos (/ -1/2 K)) U) in J 6.903 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.903 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.903 * [taylor]: Taking taylor expansion of -1/2 in J 6.903 * [backup-simplify]: Simplify -1/2 into -1/2 6.903 * [taylor]: Taking taylor expansion of K in J 6.903 * [backup-simplify]: Simplify K into K 6.903 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.903 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.903 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.903 * [taylor]: Taking taylor expansion of U in J 6.903 * [backup-simplify]: Simplify U into U 6.903 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.903 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.904 * [backup-simplify]: Simplify (- 0) into 0 6.904 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.904 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 6.904 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 6.904 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 6.904 * [taylor]: Taking taylor expansion of 1/2 in J 6.904 * [backup-simplify]: Simplify 1/2 into 1/2 6.904 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 6.904 * [taylor]: Taking taylor expansion of J in J 6.904 * [backup-simplify]: Simplify 0 into 0 6.904 * [backup-simplify]: Simplify 1 into 1 6.904 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 6.904 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.904 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.904 * [taylor]: Taking taylor expansion of -1/2 in J 6.904 * [backup-simplify]: Simplify -1/2 into -1/2 6.904 * [taylor]: Taking taylor expansion of K in J 6.904 * [backup-simplify]: Simplify K into K 6.904 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.904 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.904 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.904 * [taylor]: Taking taylor expansion of U in J 6.904 * [backup-simplify]: Simplify U into U 6.904 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.904 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.905 * [backup-simplify]: Simplify (- 0) into 0 6.905 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.905 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 6.905 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 6.905 * [backup-simplify]: Simplify (* 1 1) into 1 6.905 * [backup-simplify]: Simplify (+ 1 0) into 1 6.905 * [backup-simplify]: Simplify (sqrt 1) into 1 6.906 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.906 * [backup-simplify]: Simplify (+ 0 0) into 0 6.906 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.907 * [backup-simplify]: Simplify (sqrt 1) into 1 6.907 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.907 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 6.907 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 6.907 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 6.907 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 6.907 * [taylor]: Taking taylor expansion of (* 1 1) in U 6.907 * [taylor]: Taking taylor expansion of 1 in U 6.907 * [backup-simplify]: Simplify 1 into 1 6.907 * [taylor]: Taking taylor expansion of 1 in U 6.907 * [backup-simplify]: Simplify 1 into 1 6.907 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 6.907 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 6.907 * [taylor]: Taking taylor expansion of 1/2 in U 6.907 * [backup-simplify]: Simplify 1/2 into 1/2 6.907 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 6.907 * [taylor]: Taking taylor expansion of J in U 6.907 * [backup-simplify]: Simplify J into J 6.907 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 6.907 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 6.908 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 6.908 * [taylor]: Taking taylor expansion of -1/2 in U 6.908 * [backup-simplify]: Simplify -1/2 into -1/2 6.908 * [taylor]: Taking taylor expansion of K in U 6.908 * [backup-simplify]: Simplify K into K 6.908 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.908 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.908 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.908 * [taylor]: Taking taylor expansion of U in U 6.908 * [backup-simplify]: Simplify 0 into 0 6.908 * [backup-simplify]: Simplify 1 into 1 6.908 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.908 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.908 * [backup-simplify]: Simplify (- 0) into 0 6.908 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.908 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 6.908 * [backup-simplify]: Simplify (+ 0) into 0 6.909 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.909 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.909 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.910 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.910 * [backup-simplify]: Simplify (- 0) into 0 6.910 * [backup-simplify]: Simplify (+ 0 0) into 0 6.910 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 6.910 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 6.910 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 6.910 * [taylor]: Taking taylor expansion of 1/2 in U 6.910 * [backup-simplify]: Simplify 1/2 into 1/2 6.911 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 6.911 * [taylor]: Taking taylor expansion of J in U 6.911 * [backup-simplify]: Simplify J into J 6.911 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 6.911 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 6.911 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 6.911 * [taylor]: Taking taylor expansion of -1/2 in U 6.911 * [backup-simplify]: Simplify -1/2 into -1/2 6.911 * [taylor]: Taking taylor expansion of K in U 6.911 * [backup-simplify]: Simplify K into K 6.911 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.911 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.911 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.911 * [taylor]: Taking taylor expansion of U in U 6.911 * [backup-simplify]: Simplify 0 into 0 6.911 * [backup-simplify]: Simplify 1 into 1 6.911 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.911 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.911 * [backup-simplify]: Simplify (- 0) into 0 6.911 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.911 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 6.912 * [backup-simplify]: Simplify (+ 0) into 0 6.912 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.912 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.913 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.913 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.913 * [backup-simplify]: Simplify (- 0) into 0 6.914 * [backup-simplify]: Simplify (+ 0 0) into 0 6.914 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 6.914 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 6.914 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 6.915 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 6.915 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 6.915 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 6.915 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 6.916 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.917 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.917 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.918 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.919 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.919 * [backup-simplify]: Simplify (- 0) into 0 6.919 * [backup-simplify]: Simplify (+ 0 0) into 0 6.920 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 6.920 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 6.921 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 6.922 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.923 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.923 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.924 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.924 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.925 * [backup-simplify]: Simplify (- 0) into 0 6.925 * [backup-simplify]: Simplify (+ 0 0) into 0 6.926 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 6.926 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 6.927 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 6.927 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 6.927 * [backup-simplify]: Simplify (+ 0 0) into 0 6.927 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 6.928 * [backup-simplify]: Simplify (sqrt 0) into 0 6.929 * [backup-simplify]: Simplify (/ (* 1/2 (/ J (cos (/ -1/2 K)))) (* 2 (sqrt 0))) into (* +nan.0 (/ J (cos (/ -1/2 K)))) 6.929 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 6.929 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 6.929 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 6.929 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 6.929 * [taylor]: Taking taylor expansion of (* 1 1) in U 6.929 * [taylor]: Taking taylor expansion of 1 in U 6.929 * [backup-simplify]: Simplify 1 into 1 6.929 * [taylor]: Taking taylor expansion of 1 in U 6.929 * [backup-simplify]: Simplify 1 into 1 6.929 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 6.929 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 6.929 * [taylor]: Taking taylor expansion of 1/2 in U 6.929 * [backup-simplify]: Simplify 1/2 into 1/2 6.929 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 6.929 * [taylor]: Taking taylor expansion of J in U 6.929 * [backup-simplify]: Simplify J into J 6.929 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 6.929 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 6.929 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 6.929 * [taylor]: Taking taylor expansion of -1/2 in U 6.929 * [backup-simplify]: Simplify -1/2 into -1/2 6.929 * [taylor]: Taking taylor expansion of K in U 6.929 * [backup-simplify]: Simplify K into K 6.929 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.929 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.930 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.930 * [taylor]: Taking taylor expansion of U in U 6.930 * [backup-simplify]: Simplify 0 into 0 6.930 * [backup-simplify]: Simplify 1 into 1 6.930 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.930 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.930 * [backup-simplify]: Simplify (- 0) into 0 6.930 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.930 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 6.931 * [backup-simplify]: Simplify (+ 0) into 0 6.931 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.931 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.932 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.933 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.933 * [backup-simplify]: Simplify (- 0) into 0 6.933 * [backup-simplify]: Simplify (+ 0 0) into 0 6.934 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 6.934 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 6.934 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 6.934 * [taylor]: Taking taylor expansion of 1/2 in U 6.934 * [backup-simplify]: Simplify 1/2 into 1/2 6.934 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 6.934 * [taylor]: Taking taylor expansion of J in U 6.934 * [backup-simplify]: Simplify J into J 6.934 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 6.934 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 6.934 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 6.934 * [taylor]: Taking taylor expansion of -1/2 in U 6.934 * [backup-simplify]: Simplify -1/2 into -1/2 6.934 * [taylor]: Taking taylor expansion of K in U 6.934 * [backup-simplify]: Simplify K into K 6.934 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.935 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.935 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.935 * [taylor]: Taking taylor expansion of U in U 6.935 * [backup-simplify]: Simplify 0 into 0 6.935 * [backup-simplify]: Simplify 1 into 1 6.935 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.935 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.937 * [backup-simplify]: Simplify (- 0) into 0 6.937 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.937 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 6.938 * [backup-simplify]: Simplify (+ 0) into 0 6.939 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.939 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.940 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.940 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.941 * [backup-simplify]: Simplify (- 0) into 0 6.941 * [backup-simplify]: Simplify (+ 0 0) into 0 6.942 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 6.942 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 6.942 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 6.942 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 6.942 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 6.943 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 6.943 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 6.944 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.944 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.945 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.946 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.946 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.946 * [backup-simplify]: Simplify (- 0) into 0 6.947 * [backup-simplify]: Simplify (+ 0 0) into 0 6.948 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 6.948 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 6.948 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 6.949 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.950 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.950 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.951 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.952 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.952 * [backup-simplify]: Simplify (- 0) into 0 6.952 * [backup-simplify]: Simplify (+ 0 0) into 0 6.953 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 6.953 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 6.954 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 6.954 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 6.955 * [backup-simplify]: Simplify (+ 0 0) into 0 6.955 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 6.955 * [backup-simplify]: Simplify (sqrt 0) into 0 6.956 * [backup-simplify]: Simplify (/ (* 1/2 (/ J (cos (/ -1/2 K)))) (* 2 (sqrt 0))) into (* +nan.0 (/ J (cos (/ -1/2 K)))) 6.956 * [taylor]: Taking taylor expansion of 0 in J 6.956 * [backup-simplify]: Simplify 0 into 0 6.956 * [taylor]: Taking taylor expansion of 0 in K 6.956 * [backup-simplify]: Simplify 0 into 0 6.956 * [backup-simplify]: Simplify 0 into 0 6.956 * [taylor]: Taking taylor expansion of (* +nan.0 (/ J (cos (/ -1/2 K)))) in J 6.956 * [taylor]: Taking taylor expansion of +nan.0 in J 6.956 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.956 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 6.956 * [taylor]: Taking taylor expansion of J in J 6.956 * [backup-simplify]: Simplify 0 into 0 6.956 * [backup-simplify]: Simplify 1 into 1 6.956 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.957 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.957 * [taylor]: Taking taylor expansion of -1/2 in J 6.957 * [backup-simplify]: Simplify -1/2 into -1/2 6.957 * [taylor]: Taking taylor expansion of K in J 6.957 * [backup-simplify]: Simplify K into K 6.957 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.957 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.957 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.957 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.957 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.957 * [backup-simplify]: Simplify (- 0) into 0 6.958 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.958 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 6.958 * [taylor]: Taking taylor expansion of 0 in K 6.958 * [backup-simplify]: Simplify 0 into 0 6.958 * [backup-simplify]: Simplify 0 into 0 6.958 * [backup-simplify]: Simplify 0 into 0 6.959 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 (/ J (cos (/ -1/2 K)))) 2) (+)) (* 2 0)) into (* +nan.0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 6.959 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 6.959 * [taylor]: Taking taylor expansion of +nan.0 in J 6.959 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.959 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 6.959 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.959 * [taylor]: Taking taylor expansion of J in J 6.959 * [backup-simplify]: Simplify 0 into 0 6.959 * [backup-simplify]: Simplify 1 into 1 6.959 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 6.959 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.959 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.959 * [taylor]: Taking taylor expansion of -1/2 in J 6.959 * [backup-simplify]: Simplify -1/2 into -1/2 6.959 * [taylor]: Taking taylor expansion of K in J 6.959 * [backup-simplify]: Simplify K into K 6.959 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.959 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.960 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.960 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.960 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.960 * [backup-simplify]: Simplify (- 0) into 0 6.960 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.961 * [backup-simplify]: Simplify (* 1 1) into 1 6.961 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.961 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 6.961 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (cos (/ -1/2 K)))) into (/ +nan.0 (cos (/ -1/2 K))) 6.961 * [taylor]: Taking taylor expansion of (/ +nan.0 (cos (/ -1/2 K))) in K 6.961 * [taylor]: Taking taylor expansion of +nan.0 in K 6.961 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.961 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 6.961 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 6.961 * [taylor]: Taking taylor expansion of -1/2 in K 6.961 * [backup-simplify]: Simplify -1/2 into -1/2 6.961 * [taylor]: Taking taylor expansion of K in K 6.961 * [backup-simplify]: Simplify 0 into 0 6.961 * [backup-simplify]: Simplify 1 into 1 6.962 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.962 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.962 * [backup-simplify]: Simplify (/ +nan.0 (cos (/ -1/2 K))) into (/ +nan.0 (cos (/ -1/2 K))) 6.962 * [backup-simplify]: Simplify (/ +nan.0 (cos (/ -1/2 K))) into (/ +nan.0 (cos (/ -1/2 K))) 6.962 * [taylor]: Taking taylor expansion of 0 in K 6.962 * [backup-simplify]: Simplify 0 into 0 6.962 * [backup-simplify]: Simplify 0 into 0 6.962 * [backup-simplify]: Simplify 0 into 0 6.962 * [backup-simplify]: Simplify 0 into 0 6.963 * [backup-simplify]: Simplify (* 1 1) into 1 6.964 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.965 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.965 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.967 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 6.967 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 6.968 * [backup-simplify]: Simplify (- 0) into 0 6.968 * [backup-simplify]: Simplify (+ 0 0) into 0 6.969 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.969 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 6.970 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 6.971 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.972 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.972 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.973 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 6.974 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 6.974 * [backup-simplify]: Simplify (- 0) into 0 6.974 * [backup-simplify]: Simplify (+ 0 0) into 0 6.975 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.975 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 6.975 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 6.976 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into 0 6.976 * [backup-simplify]: Simplify (+ 1 0) into 1 6.977 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 6.977 * [backup-simplify]: Simplify (/ (- (/ (cos (/ -1/2 K)) J) (+ (* 2 (* (* +nan.0 (/ J (cos (/ -1/2 K)))) (* +nan.0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))))) (* 2 0)) into (* +nan.0 (- (/ (cos (/ -1/2 K)) J) (* +nan.0 (/ (pow J 3) (pow (cos (/ -1/2 K)) 3))))) 6.977 * [taylor]: Taking taylor expansion of (* +nan.0 (- (/ (cos (/ -1/2 K)) J) (* +nan.0 (/ (pow J 3) (pow (cos (/ -1/2 K)) 3))))) in J 6.977 * [taylor]: Taking taylor expansion of +nan.0 in J 6.977 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.977 * [taylor]: Taking taylor expansion of (- (/ (cos (/ -1/2 K)) J) (* +nan.0 (/ (pow J 3) (pow (cos (/ -1/2 K)) 3)))) in J 6.977 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 6.977 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.978 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.978 * [taylor]: Taking taylor expansion of -1/2 in J 6.978 * [backup-simplify]: Simplify -1/2 into -1/2 6.978 * [taylor]: Taking taylor expansion of K in J 6.978 * [backup-simplify]: Simplify K into K 6.978 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.978 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.978 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.978 * [taylor]: Taking taylor expansion of J in J 6.978 * [backup-simplify]: Simplify 0 into 0 6.978 * [backup-simplify]: Simplify 1 into 1 6.978 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.978 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.978 * [backup-simplify]: Simplify (- 0) into 0 6.978 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.978 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.978 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow J 3) (pow (cos (/ -1/2 K)) 3))) in J 6.978 * [taylor]: Taking taylor expansion of +nan.0 in J 6.978 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.978 * [taylor]: Taking taylor expansion of (/ (pow J 3) (pow (cos (/ -1/2 K)) 3)) in J 6.978 * [taylor]: Taking taylor expansion of (pow J 3) in J 6.978 * [taylor]: Taking taylor expansion of J in J 6.978 * [backup-simplify]: Simplify 0 into 0 6.978 * [backup-simplify]: Simplify 1 into 1 6.978 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 3) in J 6.978 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.978 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.978 * [taylor]: Taking taylor expansion of -1/2 in J 6.978 * [backup-simplify]: Simplify -1/2 into -1/2 6.979 * [taylor]: Taking taylor expansion of K in J 6.979 * [backup-simplify]: Simplify K into K 6.979 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.979 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.979 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.979 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.979 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.979 * [backup-simplify]: Simplify (- 0) into 0 6.979 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.979 * [backup-simplify]: Simplify (* 1 1) into 1 6.980 * [backup-simplify]: Simplify (* 1 1) into 1 6.980 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.980 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow (cos (/ -1/2 K)) 2)) into (pow (cos (/ -1/2 K)) 3) 6.980 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 3)) into (/ 1 (pow (cos (/ -1/2 K)) 3)) 6.980 * [backup-simplify]: Simplify (+ 0) into 0 6.980 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.980 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.981 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.981 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.981 * [backup-simplify]: Simplify (- 0) into 0 6.982 * [backup-simplify]: Simplify (+ 0 0) into 0 6.982 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 6.983 * [backup-simplify]: Simplify (+ 0 0) into 0 6.983 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.983 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (cos (/ -1/2 K)))) into 0 6.983 * [taylor]: Taking taylor expansion of 0 in K 6.983 * [backup-simplify]: Simplify 0 into 0 6.983 * [backup-simplify]: Simplify 0 into 0 6.983 * [backup-simplify]: Simplify (+ 0) into 0 6.984 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.984 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.984 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.984 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.985 * [backup-simplify]: Simplify (- 0) into 0 6.985 * [backup-simplify]: Simplify (+ 0 0) into 0 6.985 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 6.985 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 6.985 * [taylor]: Taking taylor expansion of 0 in K 6.985 * [backup-simplify]: Simplify 0 into 0 6.985 * [backup-simplify]: Simplify 0 into 0 6.985 * [taylor]: Taking taylor expansion of 0 in K 6.985 * [backup-simplify]: Simplify 0 into 0 6.986 * [backup-simplify]: Simplify 0 into 0 6.986 * [backup-simplify]: Simplify (* (/ +nan.0 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) 1))) into (/ +nan.0 (* (cos (* 1/2 K)) J)) 6.986 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 6.986 * [backup-simplify]: Simplify (sqrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2)))))) into (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) 6.986 * [approximate]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in (U J K) around 0 6.986 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in K 6.986 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 6.986 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 6.986 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in K 6.986 * [taylor]: Taking taylor expansion of (* 1 1) in K 6.986 * [taylor]: Taking taylor expansion of 1 in K 6.986 * [backup-simplify]: Simplify 1 into 1 6.986 * [taylor]: Taking taylor expansion of 1 in K 6.986 * [backup-simplify]: Simplify 1 into 1 6.986 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 6.986 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 6.986 * [taylor]: Taking taylor expansion of 1/2 in K 6.986 * [backup-simplify]: Simplify 1/2 into 1/2 6.986 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 6.986 * [taylor]: Taking taylor expansion of U in K 6.986 * [backup-simplify]: Simplify U into U 6.986 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 6.986 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 6.986 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 6.986 * [taylor]: Taking taylor expansion of 1/2 in K 6.986 * [backup-simplify]: Simplify 1/2 into 1/2 6.986 * [taylor]: Taking taylor expansion of K in K 6.986 * [backup-simplify]: Simplify 0 into 0 6.986 * [backup-simplify]: Simplify 1 into 1 6.987 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.987 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.987 * [taylor]: Taking taylor expansion of J in K 6.987 * [backup-simplify]: Simplify J into J 6.987 * [backup-simplify]: Simplify (* 1 J) into J 6.987 * [backup-simplify]: Simplify (/ U J) into (/ U J) 6.987 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 6.987 * [taylor]: Taking taylor expansion of 1/2 in K 6.987 * [backup-simplify]: Simplify 1/2 into 1/2 6.987 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 6.987 * [taylor]: Taking taylor expansion of U in K 6.987 * [backup-simplify]: Simplify U into U 6.987 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 6.987 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 6.987 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 6.987 * [taylor]: Taking taylor expansion of 1/2 in K 6.987 * [backup-simplify]: Simplify 1/2 into 1/2 6.987 * [taylor]: Taking taylor expansion of K in K 6.987 * [backup-simplify]: Simplify 0 into 0 6.987 * [backup-simplify]: Simplify 1 into 1 6.988 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.988 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.988 * [taylor]: Taking taylor expansion of J in K 6.988 * [backup-simplify]: Simplify J into J 6.988 * [backup-simplify]: Simplify (* 1 J) into J 6.988 * [backup-simplify]: Simplify (/ U J) into (/ U J) 6.988 * [backup-simplify]: Simplify (* 1 1) into 1 6.988 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 6.989 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 6.989 * [backup-simplify]: Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2))) 6.989 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 6.989 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 6.989 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.990 * [backup-simplify]: Simplify (+ 0) into 0 6.990 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 6.990 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 6.990 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 6.991 * [backup-simplify]: Simplify (+ 0) into 0 6.991 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 6.991 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 6.991 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 6.991 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))) into 0 6.992 * [backup-simplify]: Simplify (+ 0 0) into 0 6.992 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 6.992 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4) 6.992 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) into 0 6.992 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in J 6.992 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 6.992 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 6.992 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in J 6.992 * [taylor]: Taking taylor expansion of (* 1 1) in J 6.992 * [taylor]: Taking taylor expansion of 1 in J 6.992 * [backup-simplify]: Simplify 1 into 1 6.992 * [taylor]: Taking taylor expansion of 1 in J 6.992 * [backup-simplify]: Simplify 1 into 1 6.992 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 6.992 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 6.992 * [taylor]: Taking taylor expansion of 1/2 in J 6.992 * [backup-simplify]: Simplify 1/2 into 1/2 6.992 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 6.992 * [taylor]: Taking taylor expansion of U in J 6.992 * [backup-simplify]: Simplify U into U 6.992 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 6.992 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 6.992 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 6.993 * [taylor]: Taking taylor expansion of 1/2 in J 6.993 * [backup-simplify]: Simplify 1/2 into 1/2 6.993 * [taylor]: Taking taylor expansion of K in J 6.993 * [backup-simplify]: Simplify K into K 6.993 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.993 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.993 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.993 * [taylor]: Taking taylor expansion of J in J 6.993 * [backup-simplify]: Simplify 0 into 0 6.993 * [backup-simplify]: Simplify 1 into 1 6.993 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.993 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.993 * [backup-simplify]: Simplify (- 0) into 0 6.993 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.993 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 6.993 * [backup-simplify]: Simplify (+ 0) into 0 6.994 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 6.994 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 6.994 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.995 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 6.995 * [backup-simplify]: Simplify (- 0) into 0 6.995 * [backup-simplify]: Simplify (+ 0 0) into 0 6.996 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 6.996 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 6.996 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 6.996 * [taylor]: Taking taylor expansion of 1/2 in J 6.996 * [backup-simplify]: Simplify 1/2 into 1/2 6.996 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 6.996 * [taylor]: Taking taylor expansion of U in J 6.996 * [backup-simplify]: Simplify U into U 6.996 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 6.996 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 6.996 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 6.996 * [taylor]: Taking taylor expansion of 1/2 in J 6.996 * [backup-simplify]: Simplify 1/2 into 1/2 6.996 * [taylor]: Taking taylor expansion of K in J 6.996 * [backup-simplify]: Simplify K into K 6.996 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.996 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.996 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.996 * [taylor]: Taking taylor expansion of J in J 6.996 * [backup-simplify]: Simplify 0 into 0 6.996 * [backup-simplify]: Simplify 1 into 1 6.996 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.996 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.996 * [backup-simplify]: Simplify (- 0) into 0 6.996 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.996 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 6.997 * [backup-simplify]: Simplify (+ 0) into 0 6.997 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 6.997 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 6.998 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.998 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 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 (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 6.999 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 6.999 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 6.999 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 6.999 * [backup-simplify]: Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 6.999 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 6.999 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 7.000 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.001 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.001 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 7.002 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.002 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.002 * [backup-simplify]: Simplify (- 0) into 0 7.002 * [backup-simplify]: Simplify (+ 0 0) into 0 7.003 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 7.003 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 7.003 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 7.004 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.004 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.005 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 7.005 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.006 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.006 * [backup-simplify]: Simplify (- 0) into 0 7.006 * [backup-simplify]: Simplify (+ 0 0) into 0 7.007 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 7.007 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 7.007 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 7.007 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0 7.008 * [backup-simplify]: Simplify (+ 0 0) into 0 7.008 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 7.008 * [backup-simplify]: Simplify (sqrt 0) into 0 7.009 * [backup-simplify]: Simplify (/ (* 1/2 (/ U (cos (* 1/2 K)))) (* 2 (sqrt 0))) into (* +nan.0 (/ U (cos (* 1/2 K)))) 7.009 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 7.009 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 7.009 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 7.009 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 7.009 * [taylor]: Taking taylor expansion of (* 1 1) in U 7.009 * [taylor]: Taking taylor expansion of 1 in U 7.009 * [backup-simplify]: Simplify 1 into 1 7.009 * [taylor]: Taking taylor expansion of 1 in U 7.009 * [backup-simplify]: Simplify 1 into 1 7.009 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 7.009 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 7.009 * [taylor]: Taking taylor expansion of 1/2 in U 7.009 * [backup-simplify]: Simplify 1/2 into 1/2 7.009 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 7.009 * [taylor]: Taking taylor expansion of U in U 7.009 * [backup-simplify]: Simplify 0 into 0 7.009 * [backup-simplify]: Simplify 1 into 1 7.009 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 7.009 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 7.009 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 7.009 * [taylor]: Taking taylor expansion of 1/2 in U 7.009 * [backup-simplify]: Simplify 1/2 into 1/2 7.009 * [taylor]: Taking taylor expansion of K in U 7.009 * [backup-simplify]: Simplify K into K 7.009 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 7.009 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 7.009 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 7.009 * [taylor]: Taking taylor expansion of J in U 7.009 * [backup-simplify]: Simplify J into J 7.009 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 7.009 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 7.009 * [backup-simplify]: Simplify (- 0) into 0 7.010 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 7.010 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 7.010 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 7.010 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 7.010 * [taylor]: Taking taylor expansion of 1/2 in U 7.010 * [backup-simplify]: Simplify 1/2 into 1/2 7.010 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 7.010 * [taylor]: Taking taylor expansion of U in U 7.010 * [backup-simplify]: Simplify 0 into 0 7.010 * [backup-simplify]: Simplify 1 into 1 7.010 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 7.010 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 7.010 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 7.010 * [taylor]: Taking taylor expansion of 1/2 in U 7.010 * [backup-simplify]: Simplify 1/2 into 1/2 7.010 * [taylor]: Taking taylor expansion of K in U 7.010 * [backup-simplify]: Simplify K into K 7.010 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 7.010 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 7.010 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 7.010 * [taylor]: Taking taylor expansion of J in U 7.010 * [backup-simplify]: Simplify J into J 7.010 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 7.010 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 7.010 * [backup-simplify]: Simplify (- 0) into 0 7.010 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 7.011 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 7.011 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 7.011 * [backup-simplify]: Simplify (* 1 1) into 1 7.011 * [backup-simplify]: Simplify (+ 1 0) into 1 7.011 * [backup-simplify]: Simplify (sqrt 1) into 1 7.012 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.012 * [backup-simplify]: Simplify (+ 0 0) into 0 7.012 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.013 * [backup-simplify]: Simplify (sqrt 1) into 1 7.013 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.013 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 7.013 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 7.013 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 7.013 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 7.013 * [taylor]: Taking taylor expansion of (* 1 1) in U 7.013 * [taylor]: Taking taylor expansion of 1 in U 7.013 * [backup-simplify]: Simplify 1 into 1 7.013 * [taylor]: Taking taylor expansion of 1 in U 7.013 * [backup-simplify]: Simplify 1 into 1 7.013 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 7.013 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 7.013 * [taylor]: Taking taylor expansion of 1/2 in U 7.013 * [backup-simplify]: Simplify 1/2 into 1/2 7.013 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 7.013 * [taylor]: Taking taylor expansion of U in U 7.013 * [backup-simplify]: Simplify 0 into 0 7.013 * [backup-simplify]: Simplify 1 into 1 7.013 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 7.013 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 7.013 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 7.013 * [taylor]: Taking taylor expansion of 1/2 in U 7.013 * [backup-simplify]: Simplify 1/2 into 1/2 7.014 * [taylor]: Taking taylor expansion of K in U 7.014 * [backup-simplify]: Simplify K into K 7.014 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 7.014 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 7.014 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 7.014 * [taylor]: Taking taylor expansion of J in U 7.014 * [backup-simplify]: Simplify J into J 7.014 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 7.014 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 7.014 * [backup-simplify]: Simplify (- 0) into 0 7.014 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 7.014 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 7.014 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 7.014 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 7.014 * [taylor]: Taking taylor expansion of 1/2 in U 7.014 * [backup-simplify]: Simplify 1/2 into 1/2 7.014 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 7.014 * [taylor]: Taking taylor expansion of U in U 7.014 * [backup-simplify]: Simplify 0 into 0 7.014 * [backup-simplify]: Simplify 1 into 1 7.014 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 7.014 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 7.014 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 7.014 * [taylor]: Taking taylor expansion of 1/2 in U 7.014 * [backup-simplify]: Simplify 1/2 into 1/2 7.014 * [taylor]: Taking taylor expansion of K in U 7.014 * [backup-simplify]: Simplify K into K 7.014 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 7.015 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 7.015 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 7.015 * [taylor]: Taking taylor expansion of J in U 7.015 * [backup-simplify]: Simplify J into J 7.015 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 7.015 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 7.015 * [backup-simplify]: Simplify (- 0) into 0 7.015 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 7.015 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 7.015 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 7.015 * [backup-simplify]: Simplify (* 1 1) into 1 7.016 * [backup-simplify]: Simplify (+ 1 0) into 1 7.016 * [backup-simplify]: Simplify (sqrt 1) into 1 7.016 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.017 * [backup-simplify]: Simplify (+ 0 0) into 0 7.017 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.017 * [backup-simplify]: Simplify (sqrt 1) into 1 7.018 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.018 * [taylor]: Taking taylor expansion of 1 in J 7.018 * [backup-simplify]: Simplify 1 into 1 7.018 * [taylor]: Taking taylor expansion of 0 in J 7.018 * [backup-simplify]: Simplify 0 into 0 7.018 * [taylor]: Taking taylor expansion of 1 in K 7.018 * [backup-simplify]: Simplify 1 into 1 7.018 * [backup-simplify]: Simplify 1 into 1 7.018 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.018 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 7.018 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 7.019 * [backup-simplify]: Simplify (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 1/2 (* (cos (* 1/2 K)) J))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 7.019 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 7.020 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 7.021 * [backup-simplify]: Simplify (/ (- (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 7.021 * [taylor]: Taking taylor expansion of (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 7.021 * [taylor]: Taking taylor expansion of 1/16 in J 7.021 * [backup-simplify]: Simplify 1/16 into 1/16 7.021 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 7.021 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 7.021 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 7.021 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 7.021 * [taylor]: Taking taylor expansion of 1/2 in J 7.021 * [backup-simplify]: Simplify 1/2 into 1/2 7.021 * [taylor]: Taking taylor expansion of K in J 7.021 * [backup-simplify]: Simplify K into K 7.021 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 7.021 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 7.021 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 7.021 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 7.021 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 7.021 * [backup-simplify]: Simplify (- 0) into 0 7.021 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 7.021 * [taylor]: Taking taylor expansion of (pow J 2) in J 7.021 * [taylor]: Taking taylor expansion of J in J 7.021 * [backup-simplify]: Simplify 0 into 0 7.021 * [backup-simplify]: Simplify 1 into 1 7.021 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 7.022 * [backup-simplify]: Simplify (* 1 1) into 1 7.022 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 7.022 * [backup-simplify]: Simplify (/ 1/16 (pow (cos (* 1/2 K)) 2)) into (/ 1/16 (pow (cos (* 1/2 K)) 2)) 7.022 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.022 * [backup-simplify]: Simplify (+ 0) into 0 7.023 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 7.023 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 7.023 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.024 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 7.024 * [backup-simplify]: Simplify (- 0) into 0 7.024 * [backup-simplify]: Simplify (+ 0 0) into 0 7.024 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 7.025 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 7.025 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/16 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 7.025 * [taylor]: Taking taylor expansion of 0 in K 7.025 * [backup-simplify]: Simplify 0 into 0 7.025 * [backup-simplify]: Simplify 0 into 0 7.025 * [taylor]: Taking taylor expansion of 0 in K 7.025 * [backup-simplify]: Simplify 0 into 0 7.025 * [backup-simplify]: Simplify 0 into 0 7.025 * [taylor]: Taking taylor expansion of 0 in K 7.025 * [backup-simplify]: Simplify 0 into 0 7.025 * [backup-simplify]: Simplify 0 into 0 7.025 * [backup-simplify]: Simplify 0 into 0 7.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.026 * [backup-simplify]: Simplify (+ 0) into 0 7.026 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 7.027 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 7.027 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.027 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 7.028 * [backup-simplify]: Simplify (- 0) into 0 7.028 * [backup-simplify]: Simplify (+ 0 0) into 0 7.028 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 7.028 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 7.029 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 7.029 * [backup-simplify]: Simplify (+ 0) into 0 7.029 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 7.030 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 7.031 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.031 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 7.032 * [backup-simplify]: Simplify (- 0) into 0 7.032 * [backup-simplify]: Simplify (+ 0 0) into 0 7.032 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 7.032 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 7.033 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 7.033 * [backup-simplify]: Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J)))) into 0 7.034 * [backup-simplify]: Simplify (+ 0 0) into 0 7.034 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 7.035 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 7.035 * [taylor]: Taking taylor expansion of 0 in J 7.035 * [backup-simplify]: Simplify 0 into 0 7.036 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.037 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.038 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.038 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 7.039 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.040 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.040 * [backup-simplify]: Simplify (- 0) into 0 7.041 * [backup-simplify]: Simplify (+ 0 0) into 0 7.041 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 7.042 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 7.042 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/16 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 7.042 * [taylor]: Taking taylor expansion of 0 in K 7.042 * [backup-simplify]: Simplify 0 into 0 7.042 * [backup-simplify]: Simplify 0 into 0 7.042 * [taylor]: Taking taylor expansion of 0 in K 7.042 * [backup-simplify]: Simplify 0 into 0 7.043 * [backup-simplify]: Simplify 0 into 0 7.043 * [backup-simplify]: Simplify 1 into 1 7.043 * [backup-simplify]: Simplify (sqrt (hypot 1 (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) into (sqrt (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 7.043 * [approximate]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in (U J K) around 0 7.043 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in K 7.043 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 7.043 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 7.043 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in K 7.043 * [taylor]: Taking taylor expansion of (* 1 1) in K 7.043 * [taylor]: Taking taylor expansion of 1 in K 7.043 * [backup-simplify]: Simplify 1 into 1 7.043 * [taylor]: Taking taylor expansion of 1 in K 7.043 * [backup-simplify]: Simplify 1 into 1 7.043 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 7.043 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 7.043 * [taylor]: Taking taylor expansion of 1/2 in K 7.043 * [backup-simplify]: Simplify 1/2 into 1/2 7.043 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 7.043 * [taylor]: Taking taylor expansion of J in K 7.043 * [backup-simplify]: Simplify J into J 7.043 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 7.043 * [taylor]: Taking taylor expansion of U in K 7.043 * [backup-simplify]: Simplify U into U 7.043 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 7.043 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 7.044 * [taylor]: Taking taylor expansion of 1/2 in K 7.044 * [backup-simplify]: Simplify 1/2 into 1/2 7.044 * [taylor]: Taking taylor expansion of K in K 7.044 * [backup-simplify]: Simplify 0 into 0 7.044 * [backup-simplify]: Simplify 1 into 1 7.044 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.044 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.044 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 7.044 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 7.045 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 7.045 * [taylor]: Taking taylor expansion of 1/2 in K 7.045 * [backup-simplify]: Simplify 1/2 into 1/2 7.045 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 7.045 * [taylor]: Taking taylor expansion of J in K 7.045 * [backup-simplify]: Simplify J into J 7.045 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 7.045 * [taylor]: Taking taylor expansion of U in K 7.045 * [backup-simplify]: Simplify U into U 7.045 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 7.045 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 7.045 * [taylor]: Taking taylor expansion of 1/2 in K 7.045 * [backup-simplify]: Simplify 1/2 into 1/2 7.045 * [taylor]: Taking taylor expansion of K in K 7.045 * [backup-simplify]: Simplify 0 into 0 7.045 * [backup-simplify]: Simplify 1 into 1 7.045 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.045 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.046 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 7.046 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 7.046 * [backup-simplify]: Simplify (* 1 1) into 1 7.046 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 7.046 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 7.047 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 7.047 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 7.048 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 7.048 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.048 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 7.049 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 7.049 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 7.049 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 7.050 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 7.051 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 7.051 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into 0 7.054 * [backup-simplify]: Simplify (+ 0 0) into 0 7.054 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 7.055 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) 7.055 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))))) into 0 7.056 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in J 7.056 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 7.056 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 7.056 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in J 7.056 * [taylor]: Taking taylor expansion of (* 1 1) in J 7.056 * [taylor]: Taking taylor expansion of 1 in J 7.056 * [backup-simplify]: Simplify 1 into 1 7.056 * [taylor]: Taking taylor expansion of 1 in J 7.056 * [backup-simplify]: Simplify 1 into 1 7.056 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 7.056 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 7.056 * [taylor]: Taking taylor expansion of 1/2 in J 7.056 * [backup-simplify]: Simplify 1/2 into 1/2 7.056 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 7.056 * [taylor]: Taking taylor expansion of J in J 7.056 * [backup-simplify]: Simplify 0 into 0 7.056 * [backup-simplify]: Simplify 1 into 1 7.056 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 7.056 * [taylor]: Taking taylor expansion of U in J 7.056 * [backup-simplify]: Simplify U into U 7.056 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 7.056 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 7.056 * [taylor]: Taking taylor expansion of 1/2 in J 7.056 * [backup-simplify]: Simplify 1/2 into 1/2 7.056 * [taylor]: Taking taylor expansion of K in J 7.056 * [backup-simplify]: Simplify K into K 7.056 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.056 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.056 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.057 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.057 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.057 * [backup-simplify]: Simplify (- 0) into 0 7.057 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.058 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 7.058 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 7.058 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 7.058 * [taylor]: Taking taylor expansion of 1/2 in J 7.058 * [backup-simplify]: Simplify 1/2 into 1/2 7.058 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 7.058 * [taylor]: Taking taylor expansion of J in J 7.058 * [backup-simplify]: Simplify 0 into 0 7.058 * [backup-simplify]: Simplify 1 into 1 7.058 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 7.058 * [taylor]: Taking taylor expansion of U in J 7.058 * [backup-simplify]: Simplify U into U 7.058 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 7.058 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 7.058 * [taylor]: Taking taylor expansion of 1/2 in J 7.058 * [backup-simplify]: Simplify 1/2 into 1/2 7.058 * [taylor]: Taking taylor expansion of K in J 7.058 * [backup-simplify]: Simplify K into K 7.058 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.058 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.058 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.058 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.058 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.059 * [backup-simplify]: Simplify (- 0) into 0 7.059 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.059 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 7.059 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 7.060 * [backup-simplify]: Simplify (* 1 1) into 1 7.060 * [backup-simplify]: Simplify (+ 1 0) into 1 7.060 * [backup-simplify]: Simplify (sqrt 1) into 1 7.061 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.061 * [backup-simplify]: Simplify (+ 0 0) into 0 7.062 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.063 * [backup-simplify]: Simplify (sqrt 1) into 1 7.063 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.063 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 7.063 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 7.063 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 7.063 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 7.064 * [taylor]: Taking taylor expansion of (* 1 1) in U 7.064 * [taylor]: Taking taylor expansion of 1 in U 7.064 * [backup-simplify]: Simplify 1 into 1 7.064 * [taylor]: Taking taylor expansion of 1 in U 7.064 * [backup-simplify]: Simplify 1 into 1 7.064 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 7.064 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 7.064 * [taylor]: Taking taylor expansion of 1/2 in U 7.064 * [backup-simplify]: Simplify 1/2 into 1/2 7.064 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 7.064 * [taylor]: Taking taylor expansion of J in U 7.064 * [backup-simplify]: Simplify J into J 7.064 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 7.064 * [taylor]: Taking taylor expansion of U in U 7.064 * [backup-simplify]: Simplify 0 into 0 7.064 * [backup-simplify]: Simplify 1 into 1 7.064 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 7.064 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 7.064 * [taylor]: Taking taylor expansion of 1/2 in U 7.064 * [backup-simplify]: Simplify 1/2 into 1/2 7.064 * [taylor]: Taking taylor expansion of K in U 7.064 * [backup-simplify]: Simplify K into K 7.064 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.064 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.064 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.064 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.064 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.065 * [backup-simplify]: Simplify (- 0) into 0 7.065 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.065 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 7.066 * [backup-simplify]: Simplify (+ 0) into 0 7.066 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 7.066 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 7.067 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.067 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 7.068 * [backup-simplify]: Simplify (- 0) into 0 7.068 * [backup-simplify]: Simplify (+ 0 0) into 0 7.069 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 7.069 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 7.069 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 7.069 * [taylor]: Taking taylor expansion of 1/2 in U 7.069 * [backup-simplify]: Simplify 1/2 into 1/2 7.069 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 7.069 * [taylor]: Taking taylor expansion of J in U 7.069 * [backup-simplify]: Simplify J into J 7.069 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 7.069 * [taylor]: Taking taylor expansion of U in U 7.069 * [backup-simplify]: Simplify 0 into 0 7.069 * [backup-simplify]: Simplify 1 into 1 7.069 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 7.069 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 7.069 * [taylor]: Taking taylor expansion of 1/2 in U 7.069 * [backup-simplify]: Simplify 1/2 into 1/2 7.069 * [taylor]: Taking taylor expansion of K in U 7.069 * [backup-simplify]: Simplify K into K 7.069 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.069 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.069 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.069 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.070 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.070 * [backup-simplify]: Simplify (- 0) into 0 7.070 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.070 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 7.071 * [backup-simplify]: Simplify (+ 0) into 0 7.071 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 7.071 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 7.072 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.073 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 7.073 * [backup-simplify]: Simplify (- 0) into 0 7.073 * [backup-simplify]: Simplify (+ 0 0) into 0 7.074 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 7.074 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 7.074 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 7.074 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 7.074 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 7.075 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 7.075 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 7.076 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.077 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.077 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.078 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.078 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.079 * [backup-simplify]: Simplify (- 0) into 0 7.079 * [backup-simplify]: Simplify (+ 0 0) into 0 7.080 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 7.080 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 7.081 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 7.081 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.082 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.082 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.083 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.084 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.084 * [backup-simplify]: Simplify (- 0) into 0 7.085 * [backup-simplify]: Simplify (+ 0 0) into 0 7.085 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 7.086 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 7.086 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 7.086 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 7.087 * [backup-simplify]: Simplify (+ 0 0) into 0 7.087 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 7.088 * [backup-simplify]: Simplify (sqrt 0) into 0 7.088 * [backup-simplify]: Simplify (/ (* 1/2 (/ J (cos (/ 1/2 K)))) (* 2 (sqrt 0))) into (* +nan.0 (/ J (cos (/ 1/2 K)))) 7.088 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 7.088 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 7.088 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 7.088 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 7.088 * [taylor]: Taking taylor expansion of (* 1 1) in U 7.088 * [taylor]: Taking taylor expansion of 1 in U 7.088 * [backup-simplify]: Simplify 1 into 1 7.089 * [taylor]: Taking taylor expansion of 1 in U 7.089 * [backup-simplify]: Simplify 1 into 1 7.089 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 7.089 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 7.089 * [taylor]: Taking taylor expansion of 1/2 in U 7.089 * [backup-simplify]: Simplify 1/2 into 1/2 7.089 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 7.089 * [taylor]: Taking taylor expansion of J in U 7.089 * [backup-simplify]: Simplify J into J 7.089 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 7.089 * [taylor]: Taking taylor expansion of U in U 7.089 * [backup-simplify]: Simplify 0 into 0 7.089 * [backup-simplify]: Simplify 1 into 1 7.089 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 7.089 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 7.089 * [taylor]: Taking taylor expansion of 1/2 in U 7.089 * [backup-simplify]: Simplify 1/2 into 1/2 7.089 * [taylor]: Taking taylor expansion of K in U 7.089 * [backup-simplify]: Simplify K into K 7.089 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.089 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.089 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.089 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.089 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.090 * [backup-simplify]: Simplify (- 0) into 0 7.090 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.090 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 7.090 * [backup-simplify]: Simplify (+ 0) into 0 7.091 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 7.091 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 7.092 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.092 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 7.093 * [backup-simplify]: Simplify (- 0) into 0 7.093 * [backup-simplify]: Simplify (+ 0 0) into 0 7.093 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 7.093 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 7.094 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 7.094 * [taylor]: Taking taylor expansion of 1/2 in U 7.094 * [backup-simplify]: Simplify 1/2 into 1/2 7.094 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 7.094 * [taylor]: Taking taylor expansion of J in U 7.094 * [backup-simplify]: Simplify J into J 7.094 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 7.094 * [taylor]: Taking taylor expansion of U in U 7.094 * [backup-simplify]: Simplify 0 into 0 7.094 * [backup-simplify]: Simplify 1 into 1 7.094 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 7.094 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 7.094 * [taylor]: Taking taylor expansion of 1/2 in U 7.094 * [backup-simplify]: Simplify 1/2 into 1/2 7.094 * [taylor]: Taking taylor expansion of K in U 7.094 * [backup-simplify]: Simplify K into K 7.094 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.094 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.094 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.094 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.094 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.095 * [backup-simplify]: Simplify (- 0) into 0 7.095 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.095 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 7.095 * [backup-simplify]: Simplify (+ 0) into 0 7.096 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 7.096 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 7.097 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.097 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 7.097 * [backup-simplify]: Simplify (- 0) into 0 7.098 * [backup-simplify]: Simplify (+ 0 0) into 0 7.098 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 7.098 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 7.099 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 7.099 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 7.099 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 7.099 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 7.099 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 7.100 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.101 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.102 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.102 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.103 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.103 * [backup-simplify]: Simplify (- 0) into 0 7.104 * [backup-simplify]: Simplify (+ 0 0) into 0 7.105 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 7.105 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 7.106 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 7.106 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.107 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.107 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.108 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.109 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.109 * [backup-simplify]: Simplify (- 0) into 0 7.110 * [backup-simplify]: Simplify (+ 0 0) into 0 7.111 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 7.111 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 7.111 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 7.112 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 7.112 * [backup-simplify]: Simplify (+ 0 0) into 0 7.112 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 7.113 * [backup-simplify]: Simplify (sqrt 0) into 0 7.113 * [backup-simplify]: Simplify (/ (* 1/2 (/ J (cos (/ 1/2 K)))) (* 2 (sqrt 0))) into (* +nan.0 (/ J (cos (/ 1/2 K)))) 7.113 * [taylor]: Taking taylor expansion of 0 in J 7.113 * [backup-simplify]: Simplify 0 into 0 7.113 * [taylor]: Taking taylor expansion of 0 in K 7.114 * [backup-simplify]: Simplify 0 into 0 7.114 * [backup-simplify]: Simplify 0 into 0 7.114 * [taylor]: Taking taylor expansion of (* +nan.0 (/ J (cos (/ 1/2 K)))) in J 7.114 * [taylor]: Taking taylor expansion of +nan.0 in J 7.114 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.114 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 7.114 * [taylor]: Taking taylor expansion of J in J 7.114 * [backup-simplify]: Simplify 0 into 0 7.114 * [backup-simplify]: Simplify 1 into 1 7.114 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 7.114 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 7.114 * [taylor]: Taking taylor expansion of 1/2 in J 7.114 * [backup-simplify]: Simplify 1/2 into 1/2 7.114 * [taylor]: Taking taylor expansion of K in J 7.114 * [backup-simplify]: Simplify K into K 7.114 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.114 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.114 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.114 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.114 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.115 * [backup-simplify]: Simplify (- 0) into 0 7.115 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.115 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 7.115 * [taylor]: Taking taylor expansion of 0 in K 7.115 * [backup-simplify]: Simplify 0 into 0 7.115 * [backup-simplify]: Simplify 0 into 0 7.115 * [backup-simplify]: Simplify 0 into 0 7.116 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 (/ J (cos (/ 1/2 K)))) 2) (+)) (* 2 0)) into (* +nan.0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 7.116 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 7.116 * [taylor]: Taking taylor expansion of +nan.0 in J 7.116 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.116 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 7.116 * [taylor]: Taking taylor expansion of (pow J 2) in J 7.116 * [taylor]: Taking taylor expansion of J in J 7.116 * [backup-simplify]: Simplify 0 into 0 7.116 * [backup-simplify]: Simplify 1 into 1 7.116 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 7.116 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 7.116 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 7.116 * [taylor]: Taking taylor expansion of 1/2 in J 7.116 * [backup-simplify]: Simplify 1/2 into 1/2 7.116 * [taylor]: Taking taylor expansion of K in J 7.116 * [backup-simplify]: Simplify K into K 7.116 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.117 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.117 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.117 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.117 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.117 * [backup-simplify]: Simplify (- 0) into 0 7.117 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.118 * [backup-simplify]: Simplify (* 1 1) into 1 7.118 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 7.118 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 7.118 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (cos (/ 1/2 K)))) into (/ +nan.0 (cos (/ 1/2 K))) 7.118 * [taylor]: Taking taylor expansion of (/ +nan.0 (cos (/ 1/2 K))) in K 7.118 * [taylor]: Taking taylor expansion of +nan.0 in K 7.118 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.118 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 7.118 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 7.118 * [taylor]: Taking taylor expansion of 1/2 in K 7.118 * [backup-simplify]: Simplify 1/2 into 1/2 7.118 * [taylor]: Taking taylor expansion of K in K 7.118 * [backup-simplify]: Simplify 0 into 0 7.118 * [backup-simplify]: Simplify 1 into 1 7.119 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.119 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.119 * [backup-simplify]: Simplify (/ +nan.0 (cos (/ 1/2 K))) into (/ +nan.0 (cos (/ 1/2 K))) 7.119 * [backup-simplify]: Simplify (/ +nan.0 (cos (/ 1/2 K))) into (/ +nan.0 (cos (/ 1/2 K))) 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 7.119 * [backup-simplify]: Simplify 0 into 0 7.119 * [backup-simplify]: Simplify 0 into 0 7.120 * [backup-simplify]: Simplify (* 1 1) into 1 7.120 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.121 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.122 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.123 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 7.124 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 7.124 * [backup-simplify]: Simplify (- 0) into 0 7.124 * [backup-simplify]: Simplify (+ 0 0) into 0 7.126 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 7.126 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 7.127 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 7.128 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.129 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.129 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.130 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 7.131 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 7.131 * [backup-simplify]: Simplify (- 0) into 0 7.132 * [backup-simplify]: Simplify (+ 0 0) into 0 7.133 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 7.133 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 7.134 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 7.135 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K))))))) into 0 7.135 * [backup-simplify]: Simplify (+ 1 0) into 1 7.136 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 7.137 * [backup-simplify]: Simplify (/ (- (/ (cos (/ 1/2 K)) J) (+ (* 2 (* (* +nan.0 (/ J (cos (/ 1/2 K)))) (* +nan.0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))))) (* 2 0)) into (* +nan.0 (- (/ (cos (/ 1/2 K)) J) (* +nan.0 (/ (pow J 3) (pow (cos (/ 1/2 K)) 3))))) 7.137 * [taylor]: Taking taylor expansion of (* +nan.0 (- (/ (cos (/ 1/2 K)) J) (* +nan.0 (/ (pow J 3) (pow (cos (/ 1/2 K)) 3))))) in J 7.137 * [taylor]: Taking taylor expansion of +nan.0 in J 7.137 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.137 * [taylor]: Taking taylor expansion of (- (/ (cos (/ 1/2 K)) J) (* +nan.0 (/ (pow J 3) (pow (cos (/ 1/2 K)) 3)))) in J 7.137 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 7.138 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 7.138 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 7.138 * [taylor]: Taking taylor expansion of 1/2 in J 7.138 * [backup-simplify]: Simplify 1/2 into 1/2 7.138 * [taylor]: Taking taylor expansion of K in J 7.138 * [backup-simplify]: Simplify K into K 7.138 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.138 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.138 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.138 * [taylor]: Taking taylor expansion of J in J 7.138 * [backup-simplify]: Simplify 0 into 0 7.138 * [backup-simplify]: Simplify 1 into 1 7.138 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.138 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.139 * [backup-simplify]: Simplify (- 0) into 0 7.139 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.139 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.139 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow J 3) (pow (cos (/ 1/2 K)) 3))) in J 7.139 * [taylor]: Taking taylor expansion of +nan.0 in J 7.139 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.139 * [taylor]: Taking taylor expansion of (/ (pow J 3) (pow (cos (/ 1/2 K)) 3)) in J 7.139 * [taylor]: Taking taylor expansion of (pow J 3) in J 7.139 * [taylor]: Taking taylor expansion of J in J 7.139 * [backup-simplify]: Simplify 0 into 0 7.139 * [backup-simplify]: Simplify 1 into 1 7.139 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 3) in J 7.139 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 7.139 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 7.139 * [taylor]: Taking taylor expansion of 1/2 in J 7.139 * [backup-simplify]: Simplify 1/2 into 1/2 7.139 * [taylor]: Taking taylor expansion of K in J 7.139 * [backup-simplify]: Simplify K into K 7.139 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.139 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.139 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.139 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.140 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.140 * [backup-simplify]: Simplify (- 0) into 0 7.140 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.140 * [backup-simplify]: Simplify (* 1 1) into 1 7.141 * [backup-simplify]: Simplify (* 1 1) into 1 7.141 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 7.141 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 3) 7.141 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 3)) into (/ 1 (pow (cos (/ 1/2 K)) 3)) 7.142 * [backup-simplify]: Simplify (+ 0) into 0 7.142 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 7.142 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 7.143 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.144 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 7.144 * [backup-simplify]: Simplify (- 0) into 0 7.145 * [backup-simplify]: Simplify (+ 0 0) into 0 7.146 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 7.146 * [backup-simplify]: Simplify (+ 0 0) into 0 7.146 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.147 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (cos (/ 1/2 K)))) into 0 7.147 * [taylor]: Taking taylor expansion of 0 in K 7.147 * [backup-simplify]: Simplify 0 into 0 7.147 * [backup-simplify]: Simplify 0 into 0 7.147 * [backup-simplify]: Simplify (+ 0) into 0 7.148 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 7.148 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 7.149 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.149 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 7.150 * [backup-simplify]: Simplify (- 0) into 0 7.150 * [backup-simplify]: Simplify (+ 0 0) into 0 7.150 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 7.151 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 7.151 * [taylor]: Taking taylor expansion of 0 in K 7.151 * [backup-simplify]: Simplify 0 into 0 7.151 * [backup-simplify]: Simplify 0 into 0 7.151 * [taylor]: Taking taylor expansion of 0 in K 7.151 * [backup-simplify]: Simplify 0 into 0 7.151 * [backup-simplify]: Simplify 0 into 0 7.151 * [backup-simplify]: Simplify (* (/ +nan.0 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) 1))) into (/ +nan.0 (* (cos (* 1/2 K)) J)) 7.152 * [backup-simplify]: Simplify (sqrt (hypot 1 (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) into (sqrt (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 7.152 * [approximate]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in (U J K) around 0 7.152 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 7.152 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 7.152 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 7.152 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 7.152 * [taylor]: Taking taylor expansion of (* 1 1) in K 7.152 * [taylor]: Taking taylor expansion of 1 in K 7.152 * [backup-simplify]: Simplify 1 into 1 7.152 * [taylor]: Taking taylor expansion of 1 in K 7.152 * [backup-simplify]: Simplify 1 into 1 7.152 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 7.152 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 7.152 * [taylor]: Taking taylor expansion of 1/2 in K 7.152 * [backup-simplify]: Simplify 1/2 into 1/2 7.152 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 7.152 * [taylor]: Taking taylor expansion of J in K 7.152 * [backup-simplify]: Simplify J into J 7.152 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 7.152 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 7.152 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 7.152 * [taylor]: Taking taylor expansion of -1/2 in K 7.152 * [backup-simplify]: Simplify -1/2 into -1/2 7.152 * [taylor]: Taking taylor expansion of K in K 7.152 * [backup-simplify]: Simplify 0 into 0 7.152 * [backup-simplify]: Simplify 1 into 1 7.153 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.153 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.153 * [taylor]: Taking taylor expansion of U in K 7.153 * [backup-simplify]: Simplify U into U 7.153 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 7.153 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 7.153 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 7.153 * [taylor]: Taking taylor expansion of 1/2 in K 7.153 * [backup-simplify]: Simplify 1/2 into 1/2 7.153 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 7.153 * [taylor]: Taking taylor expansion of J in K 7.153 * [backup-simplify]: Simplify J into J 7.153 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 7.154 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 7.154 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 7.154 * [taylor]: Taking taylor expansion of -1/2 in K 7.154 * [backup-simplify]: Simplify -1/2 into -1/2 7.154 * [taylor]: Taking taylor expansion of K in K 7.154 * [backup-simplify]: Simplify 0 into 0 7.154 * [backup-simplify]: Simplify 1 into 1 7.154 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.154 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.154 * [taylor]: Taking taylor expansion of U in K 7.154 * [backup-simplify]: Simplify U into U 7.154 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 7.155 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 7.155 * [backup-simplify]: Simplify (* 1 1) into 1 7.155 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 7.155 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 7.156 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 7.156 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 7.156 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 7.157 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.157 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 7.158 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 7.158 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 7.159 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 7.159 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 7.160 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 7.160 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into 0 7.160 * [backup-simplify]: Simplify (+ 0 0) into 0 7.161 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 7.162 * [backup-simplify]: Simplify (sqrt (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) 7.162 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))))) into 0 7.162 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 7.162 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 7.162 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 7.162 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 7.162 * [taylor]: Taking taylor expansion of (* 1 1) in J 7.163 * [taylor]: Taking taylor expansion of 1 in J 7.163 * [backup-simplify]: Simplify 1 into 1 7.163 * [taylor]: Taking taylor expansion of 1 in J 7.163 * [backup-simplify]: Simplify 1 into 1 7.163 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 7.163 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 7.163 * [taylor]: Taking taylor expansion of 1/2 in J 7.163 * [backup-simplify]: Simplify 1/2 into 1/2 7.163 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 7.163 * [taylor]: Taking taylor expansion of J in J 7.163 * [backup-simplify]: Simplify 0 into 0 7.163 * [backup-simplify]: Simplify 1 into 1 7.163 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 7.163 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 7.163 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 7.163 * [taylor]: Taking taylor expansion of -1/2 in J 7.163 * [backup-simplify]: Simplify -1/2 into -1/2 7.163 * [taylor]: Taking taylor expansion of K in J 7.163 * [backup-simplify]: Simplify K into K 7.163 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.163 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.163 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.163 * [taylor]: Taking taylor expansion of U in J 7.163 * [backup-simplify]: Simplify U into U 7.163 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.163 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.164 * [backup-simplify]: Simplify (- 0) into 0 7.164 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.164 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 7.164 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 7.164 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 7.164 * [taylor]: Taking taylor expansion of 1/2 in J 7.164 * [backup-simplify]: Simplify 1/2 into 1/2 7.164 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 7.165 * [taylor]: Taking taylor expansion of J in J 7.165 * [backup-simplify]: Simplify 0 into 0 7.165 * [backup-simplify]: Simplify 1 into 1 7.165 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 7.165 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 7.165 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 7.165 * [taylor]: Taking taylor expansion of -1/2 in J 7.165 * [backup-simplify]: Simplify -1/2 into -1/2 7.165 * [taylor]: Taking taylor expansion of K in J 7.165 * [backup-simplify]: Simplify K into K 7.165 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.165 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.165 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.165 * [taylor]: Taking taylor expansion of U in J 7.165 * [backup-simplify]: Simplify U into U 7.165 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.165 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.166 * [backup-simplify]: Simplify (- 0) into 0 7.166 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.166 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 7.166 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 7.166 * [backup-simplify]: Simplify (* 1 1) into 1 7.167 * [backup-simplify]: Simplify (+ 1 0) into 1 7.167 * [backup-simplify]: Simplify (sqrt 1) into 1 7.168 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.168 * [backup-simplify]: Simplify (+ 0 0) into 0 7.169 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.169 * [backup-simplify]: Simplify (sqrt 1) into 1 7.170 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.170 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 7.170 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 7.170 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 7.170 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 7.170 * [taylor]: Taking taylor expansion of (* 1 1) in U 7.170 * [taylor]: Taking taylor expansion of 1 in U 7.170 * [backup-simplify]: Simplify 1 into 1 7.170 * [taylor]: Taking taylor expansion of 1 in U 7.170 * [backup-simplify]: Simplify 1 into 1 7.170 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 7.171 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 7.171 * [taylor]: Taking taylor expansion of 1/2 in U 7.171 * [backup-simplify]: Simplify 1/2 into 1/2 7.171 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 7.171 * [taylor]: Taking taylor expansion of J in U 7.171 * [backup-simplify]: Simplify J into J 7.171 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 7.171 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 7.171 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 7.171 * [taylor]: Taking taylor expansion of -1/2 in U 7.171 * [backup-simplify]: Simplify -1/2 into -1/2 7.171 * [taylor]: Taking taylor expansion of K in U 7.171 * [backup-simplify]: Simplify K into K 7.171 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.171 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.171 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.171 * [taylor]: Taking taylor expansion of U in U 7.171 * [backup-simplify]: Simplify 0 into 0 7.171 * [backup-simplify]: Simplify 1 into 1 7.171 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.171 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.172 * [backup-simplify]: Simplify (- 0) into 0 7.172 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.172 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 7.172 * [backup-simplify]: Simplify (+ 0) into 0 7.173 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 7.173 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 7.174 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.174 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 7.175 * [backup-simplify]: Simplify (- 0) into 0 7.175 * [backup-simplify]: Simplify (+ 0 0) into 0 7.176 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 7.176 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 7.176 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 7.176 * [taylor]: Taking taylor expansion of 1/2 in U 7.176 * [backup-simplify]: Simplify 1/2 into 1/2 7.176 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 7.176 * [taylor]: Taking taylor expansion of J in U 7.176 * [backup-simplify]: Simplify J into J 7.176 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 7.176 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 7.176 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 7.176 * [taylor]: Taking taylor expansion of -1/2 in U 7.176 * [backup-simplify]: Simplify -1/2 into -1/2 7.176 * [taylor]: Taking taylor expansion of K in U 7.176 * [backup-simplify]: Simplify K into K 7.176 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.176 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.176 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.176 * [taylor]: Taking taylor expansion of U in U 7.176 * [backup-simplify]: Simplify 0 into 0 7.176 * [backup-simplify]: Simplify 1 into 1 7.176 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.177 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.177 * [backup-simplify]: Simplify (- 0) into 0 7.177 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.177 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 7.178 * [backup-simplify]: Simplify (+ 0) into 0 7.178 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 7.178 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 7.179 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.179 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 7.180 * [backup-simplify]: Simplify (- 0) into 0 7.180 * [backup-simplify]: Simplify (+ 0 0) into 0 7.181 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 7.181 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 7.181 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 7.181 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 7.181 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 7.182 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 7.182 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 7.183 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.184 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.184 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.185 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.185 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.185 * [backup-simplify]: Simplify (- 0) into 0 7.186 * [backup-simplify]: Simplify (+ 0 0) into 0 7.187 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 7.187 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 7.187 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 7.188 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.189 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.189 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.190 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.191 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.191 * [backup-simplify]: Simplify (- 0) into 0 7.191 * [backup-simplify]: Simplify (+ 0 0) into 0 7.192 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 7.192 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 7.193 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 7.193 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 7.194 * [backup-simplify]: Simplify (+ 0 0) into 0 7.194 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 7.194 * [backup-simplify]: Simplify (sqrt 0) into 0 7.195 * [backup-simplify]: Simplify (/ (* 1/2 (/ J (cos (/ -1/2 K)))) (* 2 (sqrt 0))) into (* +nan.0 (/ J (cos (/ -1/2 K)))) 7.195 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 7.195 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 7.195 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 7.195 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 7.195 * [taylor]: Taking taylor expansion of (* 1 1) in U 7.195 * [taylor]: Taking taylor expansion of 1 in U 7.195 * [backup-simplify]: Simplify 1 into 1 7.195 * [taylor]: Taking taylor expansion of 1 in U 7.195 * [backup-simplify]: Simplify 1 into 1 7.195 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 7.195 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 7.196 * [taylor]: Taking taylor expansion of 1/2 in U 7.196 * [backup-simplify]: Simplify 1/2 into 1/2 7.196 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 7.196 * [taylor]: Taking taylor expansion of J in U 7.196 * [backup-simplify]: Simplify J into J 7.196 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 7.196 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 7.196 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 7.196 * [taylor]: Taking taylor expansion of -1/2 in U 7.196 * [backup-simplify]: Simplify -1/2 into -1/2 7.196 * [taylor]: Taking taylor expansion of K in U 7.196 * [backup-simplify]: Simplify K into K 7.196 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.196 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.196 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.196 * [taylor]: Taking taylor expansion of U in U 7.196 * [backup-simplify]: Simplify 0 into 0 7.196 * [backup-simplify]: Simplify 1 into 1 7.196 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.196 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.197 * [backup-simplify]: Simplify (- 0) into 0 7.197 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.197 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 7.197 * [backup-simplify]: Simplify (+ 0) into 0 7.198 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 7.198 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 7.199 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.199 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 7.200 * [backup-simplify]: Simplify (- 0) into 0 7.200 * [backup-simplify]: Simplify (+ 0 0) into 0 7.201 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 7.201 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 7.201 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 7.201 * [taylor]: Taking taylor expansion of 1/2 in U 7.201 * [backup-simplify]: Simplify 1/2 into 1/2 7.201 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 7.201 * [taylor]: Taking taylor expansion of J in U 7.201 * [backup-simplify]: Simplify J into J 7.201 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 7.201 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 7.201 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 7.201 * [taylor]: Taking taylor expansion of -1/2 in U 7.201 * [backup-simplify]: Simplify -1/2 into -1/2 7.201 * [taylor]: Taking taylor expansion of K in U 7.201 * [backup-simplify]: Simplify K into K 7.201 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.201 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.201 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.201 * [taylor]: Taking taylor expansion of U in U 7.201 * [backup-simplify]: Simplify 0 into 0 7.201 * [backup-simplify]: Simplify 1 into 1 7.201 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.202 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.202 * [backup-simplify]: Simplify (- 0) into 0 7.202 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.202 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 7.203 * [backup-simplify]: Simplify (+ 0) into 0 7.203 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 7.203 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 7.204 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.204 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 7.205 * [backup-simplify]: Simplify (- 0) into 0 7.205 * [backup-simplify]: Simplify (+ 0 0) into 0 7.208 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 7.208 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 7.209 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 7.209 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 7.209 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 7.209 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 7.210 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 7.211 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.212 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.212 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.213 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.213 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.214 * [backup-simplify]: Simplify (- 0) into 0 7.214 * [backup-simplify]: Simplify (+ 0 0) into 0 7.215 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 7.215 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 7.216 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 7.217 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.217 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.218 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.218 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.219 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.219 * [backup-simplify]: Simplify (- 0) into 0 7.220 * [backup-simplify]: Simplify (+ 0 0) into 0 7.220 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 7.221 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 7.221 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 7.221 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 7.222 * [backup-simplify]: Simplify (+ 0 0) into 0 7.222 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 7.223 * [backup-simplify]: Simplify (sqrt 0) into 0 7.223 * [backup-simplify]: Simplify (/ (* 1/2 (/ J (cos (/ -1/2 K)))) (* 2 (sqrt 0))) into (* +nan.0 (/ J (cos (/ -1/2 K)))) 7.223 * [taylor]: Taking taylor expansion of 0 in J 7.223 * [backup-simplify]: Simplify 0 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 7.223 * [taylor]: Taking taylor expansion of (* +nan.0 (/ J (cos (/ -1/2 K)))) in J 7.224 * [taylor]: Taking taylor expansion of +nan.0 in J 7.224 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.224 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 7.224 * [taylor]: Taking taylor expansion of J in J 7.224 * [backup-simplify]: Simplify 0 into 0 7.224 * [backup-simplify]: Simplify 1 into 1 7.224 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 7.224 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 7.224 * [taylor]: Taking taylor expansion of -1/2 in J 7.224 * [backup-simplify]: Simplify -1/2 into -1/2 7.224 * [taylor]: Taking taylor expansion of K in J 7.224 * [backup-simplify]: Simplify K into K 7.224 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.224 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.224 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.224 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.224 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.225 * [backup-simplify]: Simplify (- 0) into 0 7.225 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.225 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 7.225 * [taylor]: Taking taylor expansion of 0 in K 7.225 * [backup-simplify]: Simplify 0 into 0 7.225 * [backup-simplify]: Simplify 0 into 0 7.225 * [backup-simplify]: Simplify 0 into 0 7.226 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 (/ J (cos (/ -1/2 K)))) 2) (+)) (* 2 0)) into (* +nan.0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 7.226 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 7.226 * [taylor]: Taking taylor expansion of +nan.0 in J 7.226 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.226 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 7.226 * [taylor]: Taking taylor expansion of (pow J 2) in J 7.226 * [taylor]: Taking taylor expansion of J in J 7.226 * [backup-simplify]: Simplify 0 into 0 7.226 * [backup-simplify]: Simplify 1 into 1 7.226 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 7.226 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 7.226 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 7.226 * [taylor]: Taking taylor expansion of -1/2 in J 7.226 * [backup-simplify]: Simplify -1/2 into -1/2 7.227 * [taylor]: Taking taylor expansion of K in J 7.227 * [backup-simplify]: Simplify K into K 7.227 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.227 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.227 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.227 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.227 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.227 * [backup-simplify]: Simplify (- 0) into 0 7.227 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.228 * [backup-simplify]: Simplify (* 1 1) into 1 7.228 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 7.228 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 7.228 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (cos (/ -1/2 K)))) into (/ +nan.0 (cos (/ -1/2 K))) 7.228 * [taylor]: Taking taylor expansion of (/ +nan.0 (cos (/ -1/2 K))) in K 7.228 * [taylor]: Taking taylor expansion of +nan.0 in K 7.228 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.228 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 7.228 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 7.228 * [taylor]: Taking taylor expansion of -1/2 in K 7.229 * [backup-simplify]: Simplify -1/2 into -1/2 7.229 * [taylor]: Taking taylor expansion of K in K 7.229 * [backup-simplify]: Simplify 0 into 0 7.229 * [backup-simplify]: Simplify 1 into 1 7.229 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.229 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.229 * [backup-simplify]: Simplify (/ +nan.0 (cos (/ -1/2 K))) into (/ +nan.0 (cos (/ -1/2 K))) 7.229 * [backup-simplify]: Simplify (/ +nan.0 (cos (/ -1/2 K))) into (/ +nan.0 (cos (/ -1/2 K))) 7.229 * [taylor]: Taking taylor expansion of 0 in K 7.229 * [backup-simplify]: Simplify 0 into 0 7.229 * [backup-simplify]: Simplify 0 into 0 7.230 * [backup-simplify]: Simplify 0 into 0 7.230 * [backup-simplify]: Simplify 0 into 0 7.230 * [backup-simplify]: Simplify (* 1 1) into 1 7.231 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.232 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.232 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.234 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 7.235 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 7.235 * [backup-simplify]: Simplify (- 0) into 0 7.235 * [backup-simplify]: Simplify (+ 0 0) into 0 7.236 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.237 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 7.238 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 7.239 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.240 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.240 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.242 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 7.242 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 7.243 * [backup-simplify]: Simplify (- 0) into 0 7.243 * [backup-simplify]: Simplify (+ 0 0) into 0 7.244 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.244 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 7.245 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 7.246 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into 0 7.246 * [backup-simplify]: Simplify (+ 1 0) into 1 7.247 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 7.248 * [backup-simplify]: Simplify (/ (- (/ (cos (/ -1/2 K)) J) (+ (* 2 (* (* +nan.0 (/ J (cos (/ -1/2 K)))) (* +nan.0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))))) (* 2 0)) into (* +nan.0 (- (/ (cos (/ -1/2 K)) J) (* +nan.0 (/ (pow J 3) (pow (cos (/ -1/2 K)) 3))))) 7.248 * [taylor]: Taking taylor expansion of (* +nan.0 (- (/ (cos (/ -1/2 K)) J) (* +nan.0 (/ (pow J 3) (pow (cos (/ -1/2 K)) 3))))) in J 7.248 * [taylor]: Taking taylor expansion of +nan.0 in J 7.248 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.248 * [taylor]: Taking taylor expansion of (- (/ (cos (/ -1/2 K)) J) (* +nan.0 (/ (pow J 3) (pow (cos (/ -1/2 K)) 3)))) in J 7.249 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 7.249 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 7.249 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 7.249 * [taylor]: Taking taylor expansion of -1/2 in J 7.249 * [backup-simplify]: Simplify -1/2 into -1/2 7.249 * [taylor]: Taking taylor expansion of K in J 7.249 * [backup-simplify]: Simplify K into K 7.249 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.249 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.249 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.249 * [taylor]: Taking taylor expansion of J in J 7.249 * [backup-simplify]: Simplify 0 into 0 7.249 * [backup-simplify]: Simplify 1 into 1 7.249 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.249 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.250 * [backup-simplify]: Simplify (- 0) into 0 7.250 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.250 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.250 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow J 3) (pow (cos (/ -1/2 K)) 3))) in J 7.250 * [taylor]: Taking taylor expansion of +nan.0 in J 7.250 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.250 * [taylor]: Taking taylor expansion of (/ (pow J 3) (pow (cos (/ -1/2 K)) 3)) in J 7.250 * [taylor]: Taking taylor expansion of (pow J 3) in J 7.250 * [taylor]: Taking taylor expansion of J in J 7.250 * [backup-simplify]: Simplify 0 into 0 7.250 * [backup-simplify]: Simplify 1 into 1 7.250 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 3) in J 7.250 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 7.250 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 7.250 * [taylor]: Taking taylor expansion of -1/2 in J 7.250 * [backup-simplify]: Simplify -1/2 into -1/2 7.250 * [taylor]: Taking taylor expansion of K in J 7.250 * [backup-simplify]: Simplify K into K 7.250 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.250 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.250 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.251 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.251 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.251 * [backup-simplify]: Simplify (- 0) into 0 7.251 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.252 * [backup-simplify]: Simplify (* 1 1) into 1 7.252 * [backup-simplify]: Simplify (* 1 1) into 1 7.252 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 7.252 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow (cos (/ -1/2 K)) 2)) into (pow (cos (/ -1/2 K)) 3) 7.252 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 3)) into (/ 1 (pow (cos (/ -1/2 K)) 3)) 7.253 * [backup-simplify]: Simplify (+ 0) into 0 7.253 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 7.254 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 7.255 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.255 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 7.255 * [backup-simplify]: Simplify (- 0) into 0 7.256 * [backup-simplify]: Simplify (+ 0 0) into 0 7.257 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 7.257 * [backup-simplify]: Simplify (+ 0 0) into 0 7.257 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.258 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (cos (/ -1/2 K)))) into 0 7.258 * [taylor]: Taking taylor expansion of 0 in K 7.258 * [backup-simplify]: Simplify 0 into 0 7.258 * [backup-simplify]: Simplify 0 into 0 7.258 * [backup-simplify]: Simplify (+ 0) into 0 7.259 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 7.259 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 7.260 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.260 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 7.261 * [backup-simplify]: Simplify (- 0) into 0 7.261 * [backup-simplify]: Simplify (+ 0 0) into 0 7.261 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 7.262 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 7.262 * [taylor]: Taking taylor expansion of 0 in K 7.262 * [backup-simplify]: Simplify 0 into 0 7.262 * [backup-simplify]: Simplify 0 into 0 7.262 * [taylor]: Taking taylor expansion of 0 in K 7.262 * [backup-simplify]: Simplify 0 into 0 7.262 * [backup-simplify]: Simplify 0 into 0 7.262 * [backup-simplify]: Simplify (* (/ +nan.0 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) 1))) into (/ +nan.0 (* (cos (* 1/2 K)) J)) 7.262 * * * * [progress]: [ 3 / 4 ] generating series at (2) 7.263 * [backup-simplify]: Simplify (* (sqrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2)))))) (* (sqrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2)))))) (* (cos (/ K 2)) (* -2 J)))) into (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) 7.263 * [approximate]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in (U J K) around 0 7.263 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in K 7.263 * [taylor]: Taking taylor expansion of -2 in K 7.263 * [backup-simplify]: Simplify -2 into -2 7.263 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in K 7.263 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 7.263 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 7.263 * [taylor]: Taking taylor expansion of 1/2 in K 7.263 * [backup-simplify]: Simplify 1/2 into 1/2 7.263 * [taylor]: Taking taylor expansion of K in K 7.263 * [backup-simplify]: Simplify 0 into 0 7.263 * [backup-simplify]: Simplify 1 into 1 7.264 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.265 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.265 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in K 7.265 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 7.265 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 7.265 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in K 7.265 * [taylor]: Taking taylor expansion of (* 1 1) in K 7.265 * [taylor]: Taking taylor expansion of 1 in K 7.265 * [backup-simplify]: Simplify 1 into 1 7.265 * [taylor]: Taking taylor expansion of 1 in K 7.265 * [backup-simplify]: Simplify 1 into 1 7.265 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 7.265 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 7.265 * [taylor]: Taking taylor expansion of 1/2 in K 7.265 * [backup-simplify]: Simplify 1/2 into 1/2 7.265 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 7.265 * [taylor]: Taking taylor expansion of U in K 7.265 * [backup-simplify]: Simplify U into U 7.265 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 7.265 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 7.265 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 7.265 * [taylor]: Taking taylor expansion of 1/2 in K 7.265 * [backup-simplify]: Simplify 1/2 into 1/2 7.265 * [taylor]: Taking taylor expansion of K in K 7.265 * [backup-simplify]: Simplify 0 into 0 7.265 * [backup-simplify]: Simplify 1 into 1 7.266 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.267 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.267 * [taylor]: Taking taylor expansion of J in K 7.267 * [backup-simplify]: Simplify J into J 7.267 * [backup-simplify]: Simplify (* 1 J) into J 7.267 * [backup-simplify]: Simplify (/ U J) into (/ U J) 7.267 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 7.267 * [taylor]: Taking taylor expansion of 1/2 in K 7.267 * [backup-simplify]: Simplify 1/2 into 1/2 7.267 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 7.267 * [taylor]: Taking taylor expansion of U in K 7.267 * [backup-simplify]: Simplify U into U 7.267 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 7.267 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 7.267 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 7.267 * [taylor]: Taking taylor expansion of 1/2 in K 7.267 * [backup-simplify]: Simplify 1/2 into 1/2 7.267 * [taylor]: Taking taylor expansion of K in K 7.267 * [backup-simplify]: Simplify 0 into 0 7.267 * [backup-simplify]: Simplify 1 into 1 7.268 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.268 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.268 * [taylor]: Taking taylor expansion of J in K 7.268 * [backup-simplify]: Simplify J into J 7.268 * [backup-simplify]: Simplify (* 1 J) into J 7.269 * [backup-simplify]: Simplify (/ U J) into (/ U J) 7.269 * [backup-simplify]: Simplify (* 1 1) into 1 7.269 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 7.269 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 7.269 * [backup-simplify]: Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2))) 7.270 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 7.270 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 7.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.271 * [backup-simplify]: Simplify (+ 0) into 0 7.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 7.272 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 7.272 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 7.273 * [backup-simplify]: Simplify (+ 0) into 0 7.273 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 7.273 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 7.274 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 7.274 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))) into 0 7.275 * [backup-simplify]: Simplify (+ 0 0) into 0 7.275 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 7.275 * [taylor]: Taking taylor expansion of J in K 7.275 * [backup-simplify]: Simplify J into J 7.275 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in J 7.275 * [taylor]: Taking taylor expansion of -2 in J 7.275 * [backup-simplify]: Simplify -2 into -2 7.275 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in J 7.275 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 7.275 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 7.275 * [taylor]: Taking taylor expansion of 1/2 in J 7.275 * [backup-simplify]: Simplify 1/2 into 1/2 7.275 * [taylor]: Taking taylor expansion of K in J 7.275 * [backup-simplify]: Simplify K into K 7.275 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 7.275 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 7.275 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 7.276 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in J 7.276 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 7.276 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 7.276 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in J 7.276 * [taylor]: Taking taylor expansion of (* 1 1) in J 7.276 * [taylor]: Taking taylor expansion of 1 in J 7.276 * [backup-simplify]: Simplify 1 into 1 7.276 * [taylor]: Taking taylor expansion of 1 in J 7.276 * [backup-simplify]: Simplify 1 into 1 7.276 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 7.276 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 7.276 * [taylor]: Taking taylor expansion of 1/2 in J 7.276 * [backup-simplify]: Simplify 1/2 into 1/2 7.276 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 7.276 * [taylor]: Taking taylor expansion of U in J 7.276 * [backup-simplify]: Simplify U into U 7.276 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 7.276 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 7.276 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 7.276 * [taylor]: Taking taylor expansion of 1/2 in J 7.276 * [backup-simplify]: Simplify 1/2 into 1/2 7.276 * [taylor]: Taking taylor expansion of K in J 7.276 * [backup-simplify]: Simplify K into K 7.276 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 7.276 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 7.276 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 7.276 * [taylor]: Taking taylor expansion of J in J 7.276 * [backup-simplify]: Simplify 0 into 0 7.277 * [backup-simplify]: Simplify 1 into 1 7.277 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 7.277 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 7.277 * [backup-simplify]: Simplify (- 0) into 0 7.277 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 7.277 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 7.278 * [backup-simplify]: Simplify (+ 0) into 0 7.278 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 7.279 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 7.280 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.280 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 7.280 * [backup-simplify]: Simplify (- 0) into 0 7.281 * [backup-simplify]: Simplify (+ 0 0) into 0 7.281 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 7.281 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 7.281 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 7.281 * [taylor]: Taking taylor expansion of 1/2 in J 7.281 * [backup-simplify]: Simplify 1/2 into 1/2 7.281 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 7.282 * [taylor]: Taking taylor expansion of U in J 7.282 * [backup-simplify]: Simplify U into U 7.282 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 7.282 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 7.282 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 7.282 * [taylor]: Taking taylor expansion of 1/2 in J 7.282 * [backup-simplify]: Simplify 1/2 into 1/2 7.282 * [taylor]: Taking taylor expansion of K in J 7.282 * [backup-simplify]: Simplify K into K 7.282 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 7.282 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 7.282 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 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 7.282 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 7.282 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 7.283 * [backup-simplify]: Simplify (- 0) into 0 7.283 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 7.283 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 7.283 * [backup-simplify]: Simplify (+ 0) into 0 7.284 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 7.284 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 7.285 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.285 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 7.286 * [backup-simplify]: Simplify (- 0) into 0 7.286 * [backup-simplify]: Simplify (+ 0 0) into 0 7.287 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 7.287 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 7.287 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 7.287 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 7.287 * [backup-simplify]: Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 7.288 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 7.288 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 7.289 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.290 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.290 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 7.291 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.292 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.292 * [backup-simplify]: Simplify (- 0) into 0 7.293 * [backup-simplify]: Simplify (+ 0 0) into 0 7.293 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 7.294 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 7.294 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 7.295 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.296 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.297 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 7.297 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.298 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.298 * [backup-simplify]: Simplify (- 0) into 0 7.299 * [backup-simplify]: Simplify (+ 0 0) into 0 7.299 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 7.300 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 7.300 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 7.301 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0 7.301 * [backup-simplify]: Simplify (+ 0 0) into 0 7.301 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 7.301 * [taylor]: Taking taylor expansion of J in J 7.301 * [backup-simplify]: Simplify 0 into 0 7.301 * [backup-simplify]: Simplify 1 into 1 7.301 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in U 7.301 * [taylor]: Taking taylor expansion of -2 in U 7.301 * [backup-simplify]: Simplify -2 into -2 7.302 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in U 7.302 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 7.302 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 7.302 * [taylor]: Taking taylor expansion of 1/2 in U 7.302 * [backup-simplify]: Simplify 1/2 into 1/2 7.302 * [taylor]: Taking taylor expansion of K in U 7.302 * [backup-simplify]: Simplify K into K 7.302 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 7.302 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 7.302 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 7.302 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in U 7.302 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 7.302 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 7.302 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 7.302 * [taylor]: Taking taylor expansion of (* 1 1) in U 7.302 * [taylor]: Taking taylor expansion of 1 in U 7.302 * [backup-simplify]: Simplify 1 into 1 7.302 * [taylor]: Taking taylor expansion of 1 in U 7.302 * [backup-simplify]: Simplify 1 into 1 7.302 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 7.302 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 7.302 * [taylor]: Taking taylor expansion of 1/2 in U 7.302 * [backup-simplify]: Simplify 1/2 into 1/2 7.302 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 7.302 * [taylor]: Taking taylor expansion of U in U 7.302 * [backup-simplify]: Simplify 0 into 0 7.302 * [backup-simplify]: Simplify 1 into 1 7.302 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 7.303 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 7.303 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 7.303 * [taylor]: Taking taylor expansion of 1/2 in U 7.303 * [backup-simplify]: Simplify 1/2 into 1/2 7.303 * [taylor]: Taking taylor expansion of K in U 7.303 * [backup-simplify]: Simplify K into K 7.303 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 7.303 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 7.303 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 7.303 * [taylor]: Taking taylor expansion of J in U 7.303 * [backup-simplify]: Simplify J into J 7.303 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 7.303 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 7.303 * [backup-simplify]: Simplify (- 0) into 0 7.304 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 7.304 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 7.304 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 7.304 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 7.304 * [taylor]: Taking taylor expansion of 1/2 in U 7.304 * [backup-simplify]: Simplify 1/2 into 1/2 7.304 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 7.304 * [taylor]: Taking taylor expansion of U in U 7.304 * [backup-simplify]: Simplify 0 into 0 7.304 * [backup-simplify]: Simplify 1 into 1 7.304 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 7.304 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 7.304 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 7.304 * [taylor]: Taking taylor expansion of 1/2 in U 7.304 * [backup-simplify]: Simplify 1/2 into 1/2 7.304 * [taylor]: Taking taylor expansion of K in U 7.304 * [backup-simplify]: Simplify K into K 7.304 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 7.304 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 7.304 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 7.304 * [taylor]: Taking taylor expansion of J in U 7.305 * [backup-simplify]: Simplify J into J 7.305 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 7.305 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 7.305 * [backup-simplify]: Simplify (- 0) into 0 7.305 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 7.305 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 7.305 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 7.306 * [backup-simplify]: Simplify (* 1 1) into 1 7.306 * [backup-simplify]: Simplify (+ 1 0) into 1 7.307 * [backup-simplify]: Simplify (sqrt 1) into 1 7.307 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.308 * [backup-simplify]: Simplify (+ 0 0) into 0 7.308 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.308 * [taylor]: Taking taylor expansion of J in U 7.308 * [backup-simplify]: Simplify J into J 7.308 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in U 7.308 * [taylor]: Taking taylor expansion of -2 in U 7.309 * [backup-simplify]: Simplify -2 into -2 7.309 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in U 7.309 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 7.309 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 7.309 * [taylor]: Taking taylor expansion of 1/2 in U 7.309 * [backup-simplify]: Simplify 1/2 into 1/2 7.309 * [taylor]: Taking taylor expansion of K in U 7.309 * [backup-simplify]: Simplify K into K 7.309 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 7.309 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 7.309 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 7.309 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in U 7.309 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 7.309 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 7.309 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 7.309 * [taylor]: Taking taylor expansion of (* 1 1) in U 7.309 * [taylor]: Taking taylor expansion of 1 in U 7.309 * [backup-simplify]: Simplify 1 into 1 7.309 * [taylor]: Taking taylor expansion of 1 in U 7.309 * [backup-simplify]: Simplify 1 into 1 7.309 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 7.309 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 7.309 * [taylor]: Taking taylor expansion of 1/2 in U 7.309 * [backup-simplify]: Simplify 1/2 into 1/2 7.309 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 7.309 * [taylor]: Taking taylor expansion of U in U 7.309 * [backup-simplify]: Simplify 0 into 0 7.309 * [backup-simplify]: Simplify 1 into 1 7.309 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 7.310 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 7.310 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 7.310 * [taylor]: Taking taylor expansion of 1/2 in U 7.310 * [backup-simplify]: Simplify 1/2 into 1/2 7.310 * [taylor]: Taking taylor expansion of K in U 7.310 * [backup-simplify]: Simplify K into K 7.310 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 7.310 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 7.310 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 7.310 * [taylor]: Taking taylor expansion of J in U 7.310 * [backup-simplify]: Simplify J into J 7.310 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 7.310 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 7.311 * [backup-simplify]: Simplify (- 0) into 0 7.311 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 7.311 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 7.311 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 7.311 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 7.311 * [taylor]: Taking taylor expansion of 1/2 in U 7.311 * [backup-simplify]: Simplify 1/2 into 1/2 7.311 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 7.311 * [taylor]: Taking taylor expansion of U in U 7.311 * [backup-simplify]: Simplify 0 into 0 7.311 * [backup-simplify]: Simplify 1 into 1 7.311 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 7.311 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 7.311 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 7.311 * [taylor]: Taking taylor expansion of 1/2 in U 7.311 * [backup-simplify]: Simplify 1/2 into 1/2 7.311 * [taylor]: Taking taylor expansion of K in U 7.311 * [backup-simplify]: Simplify K into K 7.311 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 7.311 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 7.311 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 7.312 * [taylor]: Taking taylor expansion of J in U 7.312 * [backup-simplify]: Simplify J into J 7.312 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 7.312 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 7.312 * [backup-simplify]: Simplify (- 0) into 0 7.312 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 7.312 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 7.313 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 7.313 * [backup-simplify]: Simplify (* 1 1) into 1 7.314 * [backup-simplify]: Simplify (+ 1 0) into 1 7.314 * [backup-simplify]: Simplify (sqrt 1) into 1 7.315 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.315 * [backup-simplify]: Simplify (+ 0 0) into 0 7.316 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.316 * [taylor]: Taking taylor expansion of J in U 7.316 * [backup-simplify]: Simplify J into J 7.316 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 7.316 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 7.316 * [backup-simplify]: Simplify (- 0) into 0 7.317 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 7.317 * [backup-simplify]: Simplify (* 1 J) into J 7.317 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 7.317 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J)) 7.317 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J 7.317 * [taylor]: Taking taylor expansion of -2 in J 7.317 * [backup-simplify]: Simplify -2 into -2 7.317 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 7.317 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 7.317 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 7.317 * [taylor]: Taking taylor expansion of 1/2 in J 7.317 * [backup-simplify]: Simplify 1/2 into 1/2 7.317 * [taylor]: Taking taylor expansion of K in J 7.317 * [backup-simplify]: Simplify K into K 7.317 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 7.317 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 7.317 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 7.317 * [taylor]: Taking taylor expansion of J in J 7.317 * [backup-simplify]: Simplify 0 into 0 7.317 * [backup-simplify]: Simplify 1 into 1 7.318 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 7.319 * [backup-simplify]: Simplify (+ 0) into 0 7.319 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 7.320 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 7.320 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.321 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 7.321 * [backup-simplify]: Simplify (- 0) into 0 7.322 * [backup-simplify]: Simplify (+ 0 0) into 0 7.322 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 7.323 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0 7.323 * [taylor]: Taking taylor expansion of 0 in J 7.323 * [backup-simplify]: Simplify 0 into 0 7.323 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 7.323 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 7.323 * [backup-simplify]: Simplify (- 0) into 0 7.323 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 7.324 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 7.324 * [backup-simplify]: Simplify (* -2 0) into 0 7.324 * [taylor]: Taking taylor expansion of 0 in K 7.324 * [backup-simplify]: Simplify 0 into 0 7.324 * [backup-simplify]: Simplify 0 into 0 7.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.325 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 7.325 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 7.326 * [backup-simplify]: Simplify (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 1/2 (* (cos (* 1/2 K)) J))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 7.326 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 7.327 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 7.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) J))) into (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J))) 7.329 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.330 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.331 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 7.332 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.332 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.333 * [backup-simplify]: Simplify (- 0) into 0 7.333 * [backup-simplify]: Simplify (+ 0 0) into 0 7.334 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J)))) (+ (* 0 0) (* 0 J))) into (* 1/8 (/ 1 (* (cos (* 1/2 K)) J))) 7.335 * [backup-simplify]: Simplify (+ (* -2 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J)))) into (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) 7.335 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in J 7.335 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in J 7.335 * [taylor]: Taking taylor expansion of 1/4 in J 7.335 * [backup-simplify]: Simplify 1/4 into 1/4 7.335 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in J 7.335 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 7.335 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 7.335 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 7.335 * [taylor]: Taking taylor expansion of 1/2 in J 7.335 * [backup-simplify]: Simplify 1/2 into 1/2 7.335 * [taylor]: Taking taylor expansion of K in J 7.335 * [backup-simplify]: Simplify K into K 7.335 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 7.335 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 7.335 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 7.335 * [taylor]: Taking taylor expansion of J in J 7.335 * [backup-simplify]: Simplify 0 into 0 7.335 * [backup-simplify]: Simplify 1 into 1 7.335 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 7.335 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 7.336 * [backup-simplify]: Simplify (- 0) into 0 7.336 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 7.336 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 7.337 * [backup-simplify]: Simplify (+ 0) into 0 7.337 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 7.338 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 7.339 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.339 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 7.339 * [backup-simplify]: Simplify (- 0) into 0 7.340 * [backup-simplify]: Simplify (+ 0 0) into 0 7.340 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 7.340 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 K))) into (/ 1 (cos (* 1/2 K))) 7.341 * [backup-simplify]: Simplify (* 1/4 (/ 1 (cos (* 1/2 K)))) into (/ 1/4 (cos (* 1/2 K))) 7.341 * [backup-simplify]: Simplify (- (/ 1/4 (cos (* 1/2 K)))) into (- (* 1/4 (/ 1 (cos (* 1/2 K))))) 7.341 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (cos (* 1/2 K))))) in K 7.341 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (cos (* 1/2 K)))) in K 7.341 * [taylor]: Taking taylor expansion of 1/4 in K 7.341 * [backup-simplify]: Simplify 1/4 into 1/4 7.341 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 1/2 K))) in K 7.341 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 7.341 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 7.341 * [taylor]: Taking taylor expansion of 1/2 in K 7.341 * [backup-simplify]: Simplify 1/2 into 1/2 7.341 * [taylor]: Taking taylor expansion of K in K 7.341 * [backup-simplify]: Simplify 0 into 0 7.341 * [backup-simplify]: Simplify 1 into 1 7.341 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.342 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.343 * [backup-simplify]: Simplify (/ 1 1) into 1 7.343 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 7.343 * [backup-simplify]: Simplify (- 1/4) into -1/4 7.344 * [backup-simplify]: Simplify -1/4 into -1/4 7.344 * [taylor]: Taking taylor expansion of 0 in K 7.344 * [backup-simplify]: Simplify 0 into 0 7.344 * [backup-simplify]: Simplify 0 into 0 7.344 * [backup-simplify]: Simplify (+ 0) into 0 7.345 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 7.345 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 7.346 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.346 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 7.347 * [backup-simplify]: Simplify (- 0) into 0 7.347 * [backup-simplify]: Simplify (+ 0 0) into 0 7.348 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 7.348 * [backup-simplify]: Simplify (+ (* -2 (cos (* 1/2 K))) (* 0 0)) into (- (* 2 (cos (* 1/2 K)))) 7.348 * [taylor]: Taking taylor expansion of (- (* 2 (cos (* 1/2 K)))) in K 7.348 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K 7.348 * [taylor]: Taking taylor expansion of 2 in K 7.348 * [backup-simplify]: Simplify 2 into 2 7.348 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 7.348 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 7.348 * [taylor]: Taking taylor expansion of 1/2 in K 7.348 * [backup-simplify]: Simplify 1/2 into 1/2 7.348 * [taylor]: Taking taylor expansion of K in K 7.348 * [backup-simplify]: Simplify 0 into 0 7.348 * [backup-simplify]: Simplify 1 into 1 7.349 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.350 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.350 * [backup-simplify]: Simplify (* 2 1) into 2 7.350 * [backup-simplify]: Simplify (- 2) into -2 7.350 * [backup-simplify]: Simplify -2 into -2 7.351 * [backup-simplify]: Simplify 0 into 0 7.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.352 * [backup-simplify]: Simplify (+ 0) into 0 7.353 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 7.353 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 7.354 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.354 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 7.355 * [backup-simplify]: Simplify (- 0) into 0 7.355 * [backup-simplify]: Simplify (+ 0 0) into 0 7.355 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 7.356 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 7.356 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 7.357 * [backup-simplify]: Simplify (+ 0) into 0 7.357 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 7.358 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 7.358 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.359 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 7.359 * [backup-simplify]: Simplify (- 0) into 0 7.360 * [backup-simplify]: Simplify (+ 0 0) into 0 7.360 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 7.360 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 7.361 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 7.361 * [backup-simplify]: Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J)))) into 0 7.362 * [backup-simplify]: Simplify (+ 0 0) into 0 7.362 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 7.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) (* 0 J)))) into 0 7.367 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.368 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.369 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 7.371 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 7.372 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 7.372 * [backup-simplify]: Simplify (- 0) into 0 7.373 * [backup-simplify]: Simplify (+ 0 0) into 0 7.373 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J)))) (+ (* 0 0) (* 0 J)))) into 0 7.375 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0 7.375 * [taylor]: Taking taylor expansion of 0 in J 7.375 * [backup-simplify]: Simplify 0 into 0 7.376 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.376 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.377 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 7.378 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.379 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.379 * [backup-simplify]: Simplify (- 0) into 0 7.379 * [backup-simplify]: Simplify (+ 0 0) into 0 7.380 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 7.380 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 7.381 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (* 1/2 K))))) into 0 7.381 * [backup-simplify]: Simplify (- 0) into 0 7.381 * [taylor]: Taking taylor expansion of 0 in K 7.381 * [backup-simplify]: Simplify 0 into 0 7.381 * [backup-simplify]: Simplify 0 into 0 7.381 * [taylor]: Taking taylor expansion of 0 in K 7.381 * [backup-simplify]: Simplify 0 into 0 7.381 * [backup-simplify]: Simplify 0 into 0 7.382 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.383 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.384 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 7.385 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.385 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.386 * [backup-simplify]: Simplify (- 0) into 0 7.386 * [backup-simplify]: Simplify (+ 0 0) into 0 7.387 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 7.388 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0 7.388 * [taylor]: Taking taylor expansion of 0 in K 7.388 * [backup-simplify]: Simplify 0 into 0 7.388 * [backup-simplify]: Simplify 0 into 0 7.388 * [backup-simplify]: Simplify (+ 0) into 0 7.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.389 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 7.389 * [backup-simplify]: Simplify (- 0) into 0 7.389 * [backup-simplify]: Simplify 0 into 0 7.389 * [backup-simplify]: Simplify 0 into 0 7.390 * [backup-simplify]: Simplify (+ (* -2 (* 1 (* J 1))) (* -1/4 (* 1 (* (/ 1 J) (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 7.390 * [backup-simplify]: Simplify (* (sqrt (hypot 1 (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) (* (sqrt (hypot 1 (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) (* (cos (/ (/ 1 K) 2)) (* -2 (/ 1 J))))) into (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) 7.390 * [approximate]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in (U J K) around 0 7.390 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in K 7.390 * [taylor]: Taking taylor expansion of -2 in K 7.390 * [backup-simplify]: Simplify -2 into -2 7.390 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in K 7.390 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in K 7.390 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 7.390 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 7.390 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in K 7.390 * [taylor]: Taking taylor expansion of (* 1 1) in K 7.390 * [taylor]: Taking taylor expansion of 1 in K 7.390 * [backup-simplify]: Simplify 1 into 1 7.390 * [taylor]: Taking taylor expansion of 1 in K 7.390 * [backup-simplify]: Simplify 1 into 1 7.390 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 7.390 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 7.390 * [taylor]: Taking taylor expansion of 1/2 in K 7.390 * [backup-simplify]: Simplify 1/2 into 1/2 7.390 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 7.390 * [taylor]: Taking taylor expansion of J in K 7.390 * [backup-simplify]: Simplify J into J 7.390 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 7.390 * [taylor]: Taking taylor expansion of U in K 7.391 * [backup-simplify]: Simplify U into U 7.391 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 7.391 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 7.391 * [taylor]: Taking taylor expansion of 1/2 in K 7.391 * [backup-simplify]: Simplify 1/2 into 1/2 7.391 * [taylor]: Taking taylor expansion of K in K 7.391 * [backup-simplify]: Simplify 0 into 0 7.391 * [backup-simplify]: Simplify 1 into 1 7.391 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.391 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.391 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 7.391 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 7.391 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 7.391 * [taylor]: Taking taylor expansion of 1/2 in K 7.391 * [backup-simplify]: Simplify 1/2 into 1/2 7.391 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 7.391 * [taylor]: Taking taylor expansion of J in K 7.391 * [backup-simplify]: Simplify J into J 7.391 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 7.391 * [taylor]: Taking taylor expansion of U in K 7.391 * [backup-simplify]: Simplify U into U 7.391 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 7.391 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 7.391 * [taylor]: Taking taylor expansion of 1/2 in K 7.391 * [backup-simplify]: Simplify 1/2 into 1/2 7.391 * [taylor]: Taking taylor expansion of K in K 7.391 * [backup-simplify]: Simplify 0 into 0 7.391 * [backup-simplify]: Simplify 1 into 1 7.392 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.392 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.392 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 7.392 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 7.392 * [backup-simplify]: Simplify (* 1 1) into 1 7.392 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 7.392 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 7.392 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 7.393 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 7.393 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 7.393 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.393 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 7.394 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 7.394 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 7.394 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 7.394 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 7.395 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 7.395 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into 0 7.395 * [backup-simplify]: Simplify (+ 0 0) into 0 7.395 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 7.395 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 7.395 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 7.395 * [taylor]: Taking taylor expansion of 1/2 in K 7.395 * [backup-simplify]: Simplify 1/2 into 1/2 7.395 * [taylor]: Taking taylor expansion of K in K 7.395 * [backup-simplify]: Simplify 0 into 0 7.395 * [backup-simplify]: Simplify 1 into 1 7.396 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.396 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.396 * [taylor]: Taking taylor expansion of J in K 7.396 * [backup-simplify]: Simplify J into J 7.396 * [backup-simplify]: Simplify (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) into (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) 7.396 * [backup-simplify]: Simplify (/ (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) J) into (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) 7.396 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in J 7.396 * [taylor]: Taking taylor expansion of -2 in J 7.396 * [backup-simplify]: Simplify -2 into -2 7.396 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in J 7.396 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in J 7.397 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 7.397 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 7.397 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in J 7.397 * [taylor]: Taking taylor expansion of (* 1 1) in J 7.397 * [taylor]: Taking taylor expansion of 1 in J 7.397 * [backup-simplify]: Simplify 1 into 1 7.397 * [taylor]: Taking taylor expansion of 1 in J 7.397 * [backup-simplify]: Simplify 1 into 1 7.397 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 7.397 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 7.397 * [taylor]: Taking taylor expansion of 1/2 in J 7.397 * [backup-simplify]: Simplify 1/2 into 1/2 7.397 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 7.397 * [taylor]: Taking taylor expansion of J in J 7.397 * [backup-simplify]: Simplify 0 into 0 7.397 * [backup-simplify]: Simplify 1 into 1 7.397 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 7.397 * [taylor]: Taking taylor expansion of U in J 7.397 * [backup-simplify]: Simplify U into U 7.397 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 7.397 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 7.397 * [taylor]: Taking taylor expansion of 1/2 in J 7.397 * [backup-simplify]: Simplify 1/2 into 1/2 7.397 * [taylor]: Taking taylor expansion of K in J 7.397 * [backup-simplify]: Simplify K into K 7.397 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.397 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.397 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.397 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.397 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.397 * [backup-simplify]: Simplify (- 0) into 0 7.398 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.398 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 7.398 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 7.398 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 7.398 * [taylor]: Taking taylor expansion of 1/2 in J 7.398 * [backup-simplify]: Simplify 1/2 into 1/2 7.398 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 7.398 * [taylor]: Taking taylor expansion of J in J 7.398 * [backup-simplify]: Simplify 0 into 0 7.398 * [backup-simplify]: Simplify 1 into 1 7.398 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 7.398 * [taylor]: Taking taylor expansion of U in J 7.398 * [backup-simplify]: Simplify U into U 7.398 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 7.398 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 7.398 * [taylor]: Taking taylor expansion of 1/2 in J 7.398 * [backup-simplify]: Simplify 1/2 into 1/2 7.398 * [taylor]: Taking taylor expansion of K in J 7.398 * [backup-simplify]: Simplify K into K 7.398 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.398 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.398 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.398 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.398 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.398 * [backup-simplify]: Simplify (- 0) into 0 7.398 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.399 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 7.399 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 7.399 * [backup-simplify]: Simplify (* 1 1) into 1 7.399 * [backup-simplify]: Simplify (+ 1 0) into 1 7.399 * [backup-simplify]: Simplify (sqrt 1) into 1 7.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.400 * [backup-simplify]: Simplify (+ 0 0) into 0 7.400 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.400 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 7.400 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 7.400 * [taylor]: Taking taylor expansion of 1/2 in J 7.400 * [backup-simplify]: Simplify 1/2 into 1/2 7.400 * [taylor]: Taking taylor expansion of K in J 7.401 * [backup-simplify]: Simplify K into K 7.401 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.401 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.401 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.401 * [taylor]: Taking taylor expansion of J in J 7.401 * [backup-simplify]: Simplify 0 into 0 7.401 * [backup-simplify]: Simplify 1 into 1 7.401 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.401 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.401 * [backup-simplify]: Simplify (- 0) into 0 7.401 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.401 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 7.401 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.401 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in U 7.401 * [taylor]: Taking taylor expansion of -2 in U 7.401 * [backup-simplify]: Simplify -2 into -2 7.401 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in U 7.401 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 7.401 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 7.401 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 7.401 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 7.401 * [taylor]: Taking taylor expansion of (* 1 1) in U 7.401 * [taylor]: Taking taylor expansion of 1 in U 7.401 * [backup-simplify]: Simplify 1 into 1 7.401 * [taylor]: Taking taylor expansion of 1 in U 7.401 * [backup-simplify]: Simplify 1 into 1 7.402 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 7.402 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 7.402 * [taylor]: Taking taylor expansion of 1/2 in U 7.402 * [backup-simplify]: Simplify 1/2 into 1/2 7.402 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 7.402 * [taylor]: Taking taylor expansion of J in U 7.402 * [backup-simplify]: Simplify J into J 7.402 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 7.402 * [taylor]: Taking taylor expansion of U in U 7.402 * [backup-simplify]: Simplify 0 into 0 7.402 * [backup-simplify]: Simplify 1 into 1 7.402 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 7.402 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 7.402 * [taylor]: Taking taylor expansion of 1/2 in U 7.402 * [backup-simplify]: Simplify 1/2 into 1/2 7.402 * [taylor]: Taking taylor expansion of K in U 7.402 * [backup-simplify]: Simplify K into K 7.402 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.402 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.402 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.402 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.402 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.402 * [backup-simplify]: Simplify (- 0) into 0 7.402 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.402 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 7.403 * [backup-simplify]: Simplify (+ 0) into 0 7.403 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 7.403 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 7.404 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.404 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 7.404 * [backup-simplify]: Simplify (- 0) into 0 7.404 * [backup-simplify]: Simplify (+ 0 0) into 0 7.405 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 7.405 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 7.405 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 7.405 * [taylor]: Taking taylor expansion of 1/2 in U 7.405 * [backup-simplify]: Simplify 1/2 into 1/2 7.405 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 7.405 * [taylor]: Taking taylor expansion of J in U 7.405 * [backup-simplify]: Simplify J into J 7.405 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 7.405 * [taylor]: Taking taylor expansion of U in U 7.405 * [backup-simplify]: Simplify 0 into 0 7.405 * [backup-simplify]: Simplify 1 into 1 7.405 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 7.405 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 7.405 * [taylor]: Taking taylor expansion of 1/2 in U 7.405 * [backup-simplify]: Simplify 1/2 into 1/2 7.405 * [taylor]: Taking taylor expansion of K in U 7.405 * [backup-simplify]: Simplify K into K 7.405 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.405 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.405 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.405 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.405 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.405 * [backup-simplify]: Simplify (- 0) into 0 7.405 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.406 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 7.406 * [backup-simplify]: Simplify (+ 0) into 0 7.406 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 7.406 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 7.407 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.407 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 7.407 * [backup-simplify]: Simplify (- 0) into 0 7.407 * [backup-simplify]: Simplify (+ 0 0) into 0 7.408 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 7.408 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 7.408 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 7.408 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 7.408 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 7.408 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 7.408 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 7.409 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.409 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.409 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.410 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.410 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.411 * [backup-simplify]: Simplify (- 0) into 0 7.411 * [backup-simplify]: Simplify (+ 0 0) into 0 7.411 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 7.412 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 7.412 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 7.413 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.413 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.413 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.414 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.414 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.414 * [backup-simplify]: Simplify (- 0) into 0 7.415 * [backup-simplify]: Simplify (+ 0 0) into 0 7.415 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 7.415 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 7.416 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 7.416 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 7.416 * [backup-simplify]: Simplify (+ 0 0) into 0 7.416 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 7.416 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 7.416 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 7.416 * [taylor]: Taking taylor expansion of 1/2 in U 7.416 * [backup-simplify]: Simplify 1/2 into 1/2 7.416 * [taylor]: Taking taylor expansion of K in U 7.416 * [backup-simplify]: Simplify K into K 7.417 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.417 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.417 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.417 * [taylor]: Taking taylor expansion of J in U 7.417 * [backup-simplify]: Simplify J into J 7.417 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.417 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.417 * [backup-simplify]: Simplify (- 0) into 0 7.417 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.418 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 7.418 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 7.418 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in U 7.418 * [taylor]: Taking taylor expansion of -2 in U 7.418 * [backup-simplify]: Simplify -2 into -2 7.418 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in U 7.418 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 7.418 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 7.418 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 7.418 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 7.418 * [taylor]: Taking taylor expansion of (* 1 1) in U 7.418 * [taylor]: Taking taylor expansion of 1 in U 7.418 * [backup-simplify]: Simplify 1 into 1 7.418 * [taylor]: Taking taylor expansion of 1 in U 7.418 * [backup-simplify]: Simplify 1 into 1 7.418 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 7.418 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 7.418 * [taylor]: Taking taylor expansion of 1/2 in U 7.418 * [backup-simplify]: Simplify 1/2 into 1/2 7.418 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 7.418 * [taylor]: Taking taylor expansion of J in U 7.418 * [backup-simplify]: Simplify J into J 7.418 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 7.418 * [taylor]: Taking taylor expansion of U in U 7.418 * [backup-simplify]: Simplify 0 into 0 7.418 * [backup-simplify]: Simplify 1 into 1 7.419 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 7.419 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 7.419 * [taylor]: Taking taylor expansion of 1/2 in U 7.419 * [backup-simplify]: Simplify 1/2 into 1/2 7.419 * [taylor]: Taking taylor expansion of K in U 7.419 * [backup-simplify]: Simplify K into K 7.419 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.419 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.419 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.419 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.419 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.420 * [backup-simplify]: Simplify (- 0) into 0 7.420 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.420 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 7.420 * [backup-simplify]: Simplify (+ 0) into 0 7.421 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 7.421 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 7.422 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.422 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 7.423 * [backup-simplify]: Simplify (- 0) into 0 7.423 * [backup-simplify]: Simplify (+ 0 0) into 0 7.424 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 7.424 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 7.424 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 7.424 * [taylor]: Taking taylor expansion of 1/2 in U 7.424 * [backup-simplify]: Simplify 1/2 into 1/2 7.424 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 7.424 * [taylor]: Taking taylor expansion of J in U 7.424 * [backup-simplify]: Simplify J into J 7.424 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 7.424 * [taylor]: Taking taylor expansion of U in U 7.424 * [backup-simplify]: Simplify 0 into 0 7.424 * [backup-simplify]: Simplify 1 into 1 7.424 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 7.424 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 7.424 * [taylor]: Taking taylor expansion of 1/2 in U 7.424 * [backup-simplify]: Simplify 1/2 into 1/2 7.424 * [taylor]: Taking taylor expansion of K in U 7.424 * [backup-simplify]: Simplify K into K 7.424 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.424 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.424 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.425 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.425 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.425 * [backup-simplify]: Simplify (- 0) into 0 7.425 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.425 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 7.426 * [backup-simplify]: Simplify (+ 0) into 0 7.426 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 7.426 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 7.427 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.428 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 7.428 * [backup-simplify]: Simplify (- 0) into 0 7.428 * [backup-simplify]: Simplify (+ 0 0) into 0 7.429 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 7.429 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 7.429 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 7.429 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 7.429 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 7.430 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 7.430 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 7.431 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.432 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.432 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.433 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.433 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.434 * [backup-simplify]: Simplify (- 0) into 0 7.434 * [backup-simplify]: Simplify (+ 0 0) into 0 7.435 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 7.435 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 7.436 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 7.437 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.438 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.438 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.439 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.439 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.440 * [backup-simplify]: Simplify (- 0) into 0 7.440 * [backup-simplify]: Simplify (+ 0 0) into 0 7.441 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 7.441 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 7.442 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 7.442 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 7.442 * [backup-simplify]: Simplify (+ 0 0) into 0 7.443 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 7.443 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 7.443 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 7.443 * [taylor]: Taking taylor expansion of 1/2 in U 7.443 * [backup-simplify]: Simplify 1/2 into 1/2 7.443 * [taylor]: Taking taylor expansion of K in U 7.443 * [backup-simplify]: Simplify K into K 7.443 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.443 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.443 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.443 * [taylor]: Taking taylor expansion of J in U 7.443 * [backup-simplify]: Simplify J into J 7.443 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.443 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.444 * [backup-simplify]: Simplify (- 0) into 0 7.444 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.444 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 7.444 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 7.445 * [backup-simplify]: Simplify (* -2 1/2) into -1 7.445 * [taylor]: Taking taylor expansion of -1 in J 7.445 * [backup-simplify]: Simplify -1 into -1 7.445 * [backup-simplify]: Simplify (+ 0) into 0 7.446 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 7.446 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 7.447 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.448 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 7.448 * [backup-simplify]: Simplify (- 0) into 0 7.448 * [backup-simplify]: Simplify (+ 0 0) into 0 7.448 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (cos (/ 1/2 K)))) into 0 7.449 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)))) into 0 7.449 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0 7.449 * [taylor]: Taking taylor expansion of 0 in J 7.449 * [backup-simplify]: Simplify 0 into 0 7.449 * [taylor]: Taking taylor expansion of -1 in K 7.449 * [backup-simplify]: Simplify -1 into -1 7.449 * [backup-simplify]: Simplify -1 into -1 7.450 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.450 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.450 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.451 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.451 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.451 * [backup-simplify]: Simplify (- 0) into 0 7.451 * [backup-simplify]: Simplify (+ 0 0) into 0 7.452 * [backup-simplify]: Simplify (* 1 1) into 1 7.452 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.453 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.453 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.454 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 7.454 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 7.454 * [backup-simplify]: Simplify (- 0) into 0 7.455 * [backup-simplify]: Simplify (+ 0 0) into 0 7.455 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 7.456 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 7.456 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 7.457 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.457 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.457 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.458 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 7.458 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 7.459 * [backup-simplify]: Simplify (- 0) into 0 7.459 * [backup-simplify]: Simplify (+ 0 0) into 0 7.460 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 7.460 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 7.460 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 7.461 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K))))))) into 0 7.461 * [backup-simplify]: Simplify (+ 1 0) into 1 7.462 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 7.462 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* (/ (cos (/ 1/2 K)) J) (cos (/ 1/2 K))))) into (/ (pow (cos (/ 1/2 K)) 2) J) 7.462 * [backup-simplify]: Simplify (- (/ (/ (pow (cos (/ 1/2 K)) 2) J) J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 7.463 * [backup-simplify]: Simplify (+ (* -2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) 7.463 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J 7.463 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J 7.463 * [taylor]: Taking taylor expansion of 2 in J 7.463 * [backup-simplify]: Simplify 2 into 2 7.463 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J 7.463 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 7.463 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 7.463 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 7.463 * [taylor]: Taking taylor expansion of 1/2 in J 7.463 * [backup-simplify]: Simplify 1/2 into 1/2 7.463 * [taylor]: Taking taylor expansion of K in J 7.463 * [backup-simplify]: Simplify K into K 7.463 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.463 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.463 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.463 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.463 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.464 * [backup-simplify]: Simplify (- 0) into 0 7.464 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.464 * [taylor]: Taking taylor expansion of (pow J 2) in J 7.464 * [taylor]: Taking taylor expansion of J in J 7.464 * [backup-simplify]: Simplify 0 into 0 7.464 * [backup-simplify]: Simplify 1 into 1 7.464 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 7.464 * [backup-simplify]: Simplify (* 1 1) into 1 7.464 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 7.464 * [backup-simplify]: Simplify (+ 0) into 0 7.465 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 7.465 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 7.465 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.466 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 7.466 * [backup-simplify]: Simplify (- 0) into 0 7.466 * [backup-simplify]: Simplify (+ 0 0) into 0 7.466 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 7.467 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.467 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 7.467 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 7.468 * [backup-simplify]: Simplify (- 0) into 0 7.468 * [taylor]: Taking taylor expansion of 0 in K 7.468 * [backup-simplify]: Simplify 0 into 0 7.468 * [backup-simplify]: Simplify 0 into 0 7.468 * [taylor]: Taking taylor expansion of 0 in K 7.468 * [backup-simplify]: Simplify 0 into 0 7.468 * [backup-simplify]: Simplify 0 into 0 7.468 * [taylor]: Taking taylor expansion of 0 in K 7.468 * [backup-simplify]: Simplify 0 into 0 7.468 * [backup-simplify]: Simplify 0 into 0 7.468 * [backup-simplify]: Simplify 0 into 0 7.468 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.469 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.469 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.470 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 7.470 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 7.471 * [backup-simplify]: Simplify (- 0) into 0 7.471 * [backup-simplify]: Simplify (+ 0 0) into 0 7.471 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.473 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 7.474 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.474 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.475 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 7.475 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 7.475 * [backup-simplify]: Simplify (- 0) into 0 7.476 * [backup-simplify]: Simplify (+ 0 0) into 0 7.477 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))))) into 0 7.477 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 7.481 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K))))))) into 0 7.483 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 7.484 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.484 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.485 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 7.486 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 7.487 * [backup-simplify]: Simplify (- 0) into 0 7.487 * [backup-simplify]: Simplify (+ 0 0) into 0 7.488 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))))) into 0 7.489 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 7.490 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K))))))) into 0 7.491 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))))) into 0 7.491 * [backup-simplify]: Simplify (+ 0 0) into 0 7.492 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 7.492 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* (/ (cos (/ 1/2 K)) J) 0) (* 0 (cos (/ 1/2 K)))))) into 0 7.493 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)) (* (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) (/ 0 J)))) into 0 7.494 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 7.494 * [taylor]: Taking taylor expansion of 0 in J 7.494 * [backup-simplify]: Simplify 0 into 0 7.495 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.495 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.496 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.496 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.497 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.497 * [backup-simplify]: Simplify (- 0) into 0 7.498 * [backup-simplify]: Simplify (+ 0 0) into 0 7.498 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 7.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.501 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.502 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 7.502 * [backup-simplify]: Simplify (- 0) into 0 7.502 * [taylor]: Taking taylor expansion of 0 in K 7.502 * [backup-simplify]: Simplify 0 into 0 7.502 * [backup-simplify]: Simplify 0 into 0 7.502 * [taylor]: Taking taylor expansion of 0 in K 7.502 * [backup-simplify]: Simplify 0 into 0 7.502 * [backup-simplify]: Simplify 0 into 0 7.502 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U) 7.503 * [backup-simplify]: Simplify (* (sqrt (hypot 1 (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) (* (sqrt (hypot 1 (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) (* (cos (/ (/ 1 (- K)) 2)) (* -2 (/ 1 (- J)))))) into (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) 7.503 * [approximate]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in (U J K) around 0 7.503 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in K 7.503 * [taylor]: Taking taylor expansion of 2 in K 7.503 * [backup-simplify]: Simplify 2 into 2 7.503 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in K 7.503 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 7.503 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 7.503 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 7.504 * [taylor]: Taking taylor expansion of -1/2 in K 7.504 * [backup-simplify]: Simplify -1/2 into -1/2 7.504 * [taylor]: Taking taylor expansion of K in K 7.504 * [backup-simplify]: Simplify 0 into 0 7.504 * [backup-simplify]: Simplify 1 into 1 7.504 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.504 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.504 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 7.504 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 7.504 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 7.504 * [taylor]: Taking taylor expansion of (* 1 1) in K 7.504 * [taylor]: Taking taylor expansion of 1 in K 7.504 * [backup-simplify]: Simplify 1 into 1 7.505 * [taylor]: Taking taylor expansion of 1 in K 7.505 * [backup-simplify]: Simplify 1 into 1 7.505 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 7.505 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 7.505 * [taylor]: Taking taylor expansion of 1/2 in K 7.505 * [backup-simplify]: Simplify 1/2 into 1/2 7.505 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 7.505 * [taylor]: Taking taylor expansion of J in K 7.505 * [backup-simplify]: Simplify J into J 7.505 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 7.505 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 7.505 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 7.505 * [taylor]: Taking taylor expansion of -1/2 in K 7.505 * [backup-simplify]: Simplify -1/2 into -1/2 7.505 * [taylor]: Taking taylor expansion of K in K 7.505 * [backup-simplify]: Simplify 0 into 0 7.505 * [backup-simplify]: Simplify 1 into 1 7.505 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.505 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.506 * [taylor]: Taking taylor expansion of U in K 7.506 * [backup-simplify]: Simplify U into U 7.506 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 7.506 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 7.506 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 7.506 * [taylor]: Taking taylor expansion of 1/2 in K 7.506 * [backup-simplify]: Simplify 1/2 into 1/2 7.506 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 7.506 * [taylor]: Taking taylor expansion of J in K 7.506 * [backup-simplify]: Simplify J into J 7.506 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 7.506 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 7.506 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 7.506 * [taylor]: Taking taylor expansion of -1/2 in K 7.506 * [backup-simplify]: Simplify -1/2 into -1/2 7.506 * [taylor]: Taking taylor expansion of K in K 7.506 * [backup-simplify]: Simplify 0 into 0 7.506 * [backup-simplify]: Simplify 1 into 1 7.507 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.507 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.507 * [taylor]: Taking taylor expansion of U in K 7.507 * [backup-simplify]: Simplify U into U 7.507 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 7.507 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 7.507 * [backup-simplify]: Simplify (* 1 1) into 1 7.508 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 7.508 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 7.508 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 7.508 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 7.509 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 7.509 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.510 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 7.510 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 7.510 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 7.511 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 7.511 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 7.511 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 7.512 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into 0 7.512 * [backup-simplify]: Simplify (+ 0 0) into 0 7.513 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 7.513 * [taylor]: Taking taylor expansion of J in K 7.513 * [backup-simplify]: Simplify J into J 7.513 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 7.514 * [backup-simplify]: Simplify (/ (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) J) into (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 7.514 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in J 7.514 * [taylor]: Taking taylor expansion of 2 in J 7.514 * [backup-simplify]: Simplify 2 into 2 7.514 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in J 7.514 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 7.514 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 7.514 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 7.514 * [taylor]: Taking taylor expansion of -1/2 in J 7.514 * [backup-simplify]: Simplify -1/2 into -1/2 7.514 * [taylor]: Taking taylor expansion of K in J 7.514 * [backup-simplify]: Simplify K into K 7.514 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.514 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.514 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.514 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 7.514 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 7.514 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 7.514 * [taylor]: Taking taylor expansion of (* 1 1) in J 7.514 * [taylor]: Taking taylor expansion of 1 in J 7.514 * [backup-simplify]: Simplify 1 into 1 7.514 * [taylor]: Taking taylor expansion of 1 in J 7.514 * [backup-simplify]: Simplify 1 into 1 7.514 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 7.514 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 7.515 * [taylor]: Taking taylor expansion of 1/2 in J 7.515 * [backup-simplify]: Simplify 1/2 into 1/2 7.515 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 7.515 * [taylor]: Taking taylor expansion of J in J 7.515 * [backup-simplify]: Simplify 0 into 0 7.515 * [backup-simplify]: Simplify 1 into 1 7.515 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 7.515 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 7.515 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 7.515 * [taylor]: Taking taylor expansion of -1/2 in J 7.515 * [backup-simplify]: Simplify -1/2 into -1/2 7.515 * [taylor]: Taking taylor expansion of K in J 7.515 * [backup-simplify]: Simplify K into K 7.515 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.515 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.515 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.515 * [taylor]: Taking taylor expansion of U in J 7.515 * [backup-simplify]: Simplify U into U 7.515 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.515 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.516 * [backup-simplify]: Simplify (- 0) into 0 7.516 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.516 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 7.516 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 7.516 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 7.516 * [taylor]: Taking taylor expansion of 1/2 in J 7.516 * [backup-simplify]: Simplify 1/2 into 1/2 7.516 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 7.516 * [taylor]: Taking taylor expansion of J in J 7.516 * [backup-simplify]: Simplify 0 into 0 7.516 * [backup-simplify]: Simplify 1 into 1 7.516 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 7.516 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 7.516 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 7.516 * [taylor]: Taking taylor expansion of -1/2 in J 7.516 * [backup-simplify]: Simplify -1/2 into -1/2 7.516 * [taylor]: Taking taylor expansion of K in J 7.516 * [backup-simplify]: Simplify K into K 7.516 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.517 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.517 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.517 * [taylor]: Taking taylor expansion of U in J 7.517 * [backup-simplify]: Simplify U into U 7.517 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.517 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.517 * [backup-simplify]: Simplify (- 0) into 0 7.517 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.517 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 7.518 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 7.518 * [backup-simplify]: Simplify (* 1 1) into 1 7.518 * [backup-simplify]: Simplify (+ 1 0) into 1 7.519 * [backup-simplify]: Simplify (sqrt 1) into 1 7.519 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.520 * [backup-simplify]: Simplify (+ 0 0) into 0 7.520 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.520 * [taylor]: Taking taylor expansion of J in J 7.520 * [backup-simplify]: Simplify 0 into 0 7.520 * [backup-simplify]: Simplify 1 into 1 7.520 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.520 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.521 * [backup-simplify]: Simplify (- 0) into 0 7.521 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.521 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.521 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.521 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in U 7.521 * [taylor]: Taking taylor expansion of 2 in U 7.521 * [backup-simplify]: Simplify 2 into 2 7.521 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in U 7.521 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 7.521 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 7.521 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 7.521 * [taylor]: Taking taylor expansion of -1/2 in U 7.521 * [backup-simplify]: Simplify -1/2 into -1/2 7.521 * [taylor]: Taking taylor expansion of K in U 7.521 * [backup-simplify]: Simplify K into K 7.521 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.521 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.521 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.521 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 7.521 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 7.521 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 7.521 * [taylor]: Taking taylor expansion of (* 1 1) in U 7.521 * [taylor]: Taking taylor expansion of 1 in U 7.521 * [backup-simplify]: Simplify 1 into 1 7.521 * [taylor]: Taking taylor expansion of 1 in U 7.521 * [backup-simplify]: Simplify 1 into 1 7.521 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 7.521 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 7.521 * [taylor]: Taking taylor expansion of 1/2 in U 7.521 * [backup-simplify]: Simplify 1/2 into 1/2 7.521 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 7.521 * [taylor]: Taking taylor expansion of J in U 7.521 * [backup-simplify]: Simplify J into J 7.521 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 7.521 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 7.522 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 7.522 * [taylor]: Taking taylor expansion of -1/2 in U 7.522 * [backup-simplify]: Simplify -1/2 into -1/2 7.522 * [taylor]: Taking taylor expansion of K in U 7.522 * [backup-simplify]: Simplify K into K 7.522 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.522 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.522 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.522 * [taylor]: Taking taylor expansion of U in U 7.522 * [backup-simplify]: Simplify 0 into 0 7.522 * [backup-simplify]: Simplify 1 into 1 7.522 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.522 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.522 * [backup-simplify]: Simplify (- 0) into 0 7.522 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.522 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 7.522 * [backup-simplify]: Simplify (+ 0) into 0 7.523 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 7.523 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 7.524 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.524 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 7.524 * [backup-simplify]: Simplify (- 0) into 0 7.524 * [backup-simplify]: Simplify (+ 0 0) into 0 7.525 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 7.525 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 7.525 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 7.525 * [taylor]: Taking taylor expansion of 1/2 in U 7.525 * [backup-simplify]: Simplify 1/2 into 1/2 7.525 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 7.525 * [taylor]: Taking taylor expansion of J in U 7.525 * [backup-simplify]: Simplify J into J 7.525 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 7.525 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 7.525 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 7.525 * [taylor]: Taking taylor expansion of -1/2 in U 7.525 * [backup-simplify]: Simplify -1/2 into -1/2 7.525 * [taylor]: Taking taylor expansion of K in U 7.525 * [backup-simplify]: Simplify K into K 7.525 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.525 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.525 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.525 * [taylor]: Taking taylor expansion of U in U 7.525 * [backup-simplify]: Simplify 0 into 0 7.525 * [backup-simplify]: Simplify 1 into 1 7.525 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.525 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.525 * [backup-simplify]: Simplify (- 0) into 0 7.525 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.526 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 7.526 * [backup-simplify]: Simplify (+ 0) into 0 7.526 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 7.526 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 7.527 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.527 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 7.527 * [backup-simplify]: Simplify (- 0) into 0 7.527 * [backup-simplify]: Simplify (+ 0 0) into 0 7.528 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 7.528 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 7.528 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 7.528 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 7.528 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 7.528 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 7.528 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 7.529 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.530 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.530 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.530 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.531 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.531 * [backup-simplify]: Simplify (- 0) into 0 7.531 * [backup-simplify]: Simplify (+ 0 0) into 0 7.531 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 7.532 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 7.532 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 7.532 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.533 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.533 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.533 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.534 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.534 * [backup-simplify]: Simplify (- 0) into 0 7.534 * [backup-simplify]: Simplify (+ 0 0) into 0 7.535 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 7.535 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 7.535 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 7.535 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 7.536 * [backup-simplify]: Simplify (+ 0 0) into 0 7.536 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 7.536 * [taylor]: Taking taylor expansion of J in U 7.536 * [backup-simplify]: Simplify J into J 7.536 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.536 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.536 * [backup-simplify]: Simplify (- 0) into 0 7.536 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.536 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 7.536 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 7.536 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in U 7.536 * [taylor]: Taking taylor expansion of 2 in U 7.536 * [backup-simplify]: Simplify 2 into 2 7.536 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in U 7.537 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 7.537 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 7.537 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 7.537 * [taylor]: Taking taylor expansion of -1/2 in U 7.537 * [backup-simplify]: Simplify -1/2 into -1/2 7.537 * [taylor]: Taking taylor expansion of K in U 7.537 * [backup-simplify]: Simplify K into K 7.537 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.537 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.537 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.537 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 7.537 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 7.537 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 7.537 * [taylor]: Taking taylor expansion of (* 1 1) in U 7.537 * [taylor]: Taking taylor expansion of 1 in U 7.537 * [backup-simplify]: Simplify 1 into 1 7.537 * [taylor]: Taking taylor expansion of 1 in U 7.537 * [backup-simplify]: Simplify 1 into 1 7.537 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 7.537 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 7.537 * [taylor]: Taking taylor expansion of 1/2 in U 7.537 * [backup-simplify]: Simplify 1/2 into 1/2 7.537 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 7.537 * [taylor]: Taking taylor expansion of J in U 7.537 * [backup-simplify]: Simplify J into J 7.537 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 7.537 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 7.537 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 7.537 * [taylor]: Taking taylor expansion of -1/2 in U 7.537 * [backup-simplify]: Simplify -1/2 into -1/2 7.537 * [taylor]: Taking taylor expansion of K in U 7.537 * [backup-simplify]: Simplify K into K 7.537 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.537 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.537 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.537 * [taylor]: Taking taylor expansion of U in U 7.537 * [backup-simplify]: Simplify 0 into 0 7.537 * [backup-simplify]: Simplify 1 into 1 7.537 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.537 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.538 * [backup-simplify]: Simplify (- 0) into 0 7.538 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.538 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 7.538 * [backup-simplify]: Simplify (+ 0) into 0 7.538 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 7.538 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 7.539 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.539 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 7.539 * [backup-simplify]: Simplify (- 0) into 0 7.540 * [backup-simplify]: Simplify (+ 0 0) into 0 7.540 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 7.540 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 7.540 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 7.540 * [taylor]: Taking taylor expansion of 1/2 in U 7.540 * [backup-simplify]: Simplify 1/2 into 1/2 7.540 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 7.540 * [taylor]: Taking taylor expansion of J in U 7.540 * [backup-simplify]: Simplify J into J 7.540 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 7.540 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 7.540 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 7.540 * [taylor]: Taking taylor expansion of -1/2 in U 7.540 * [backup-simplify]: Simplify -1/2 into -1/2 7.540 * [taylor]: Taking taylor expansion of K in U 7.540 * [backup-simplify]: Simplify K into K 7.540 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.540 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.540 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.540 * [taylor]: Taking taylor expansion of U in U 7.540 * [backup-simplify]: Simplify 0 into 0 7.540 * [backup-simplify]: Simplify 1 into 1 7.540 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.540 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.541 * [backup-simplify]: Simplify (- 0) into 0 7.541 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.541 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 7.541 * [backup-simplify]: Simplify (+ 0) into 0 7.541 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 7.541 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 7.542 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.542 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 7.542 * [backup-simplify]: Simplify (- 0) into 0 7.543 * [backup-simplify]: Simplify (+ 0 0) into 0 7.543 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 7.543 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 7.543 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 7.543 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 7.543 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 7.543 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 7.544 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 7.544 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.545 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.545 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.545 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.545 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.546 * [backup-simplify]: Simplify (- 0) into 0 7.546 * [backup-simplify]: Simplify (+ 0 0) into 0 7.546 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 7.547 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 7.547 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 7.547 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.548 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.548 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.548 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.549 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.549 * [backup-simplify]: Simplify (- 0) into 0 7.549 * [backup-simplify]: Simplify (+ 0 0) into 0 7.550 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 7.550 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 7.550 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 7.550 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 7.551 * [backup-simplify]: Simplify (+ 0 0) into 0 7.551 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 7.551 * [taylor]: Taking taylor expansion of J in U 7.551 * [backup-simplify]: Simplify J into J 7.551 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.551 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.551 * [backup-simplify]: Simplify (- 0) into 0 7.551 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.551 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 7.551 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 7.552 * [backup-simplify]: Simplify (* 2 1/2) into 1 7.552 * [taylor]: Taking taylor expansion of 1 in J 7.552 * [backup-simplify]: Simplify 1 into 1 7.552 * [backup-simplify]: Simplify (+ 0) into 0 7.552 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 7.552 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 7.553 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.553 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 7.553 * [backup-simplify]: Simplify (- 0) into 0 7.554 * [backup-simplify]: Simplify (+ 0 0) into 0 7.554 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 7.554 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)))) into 0 7.554 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0 7.554 * [taylor]: Taking taylor expansion of 0 in J 7.554 * [backup-simplify]: Simplify 0 into 0 7.554 * [taylor]: Taking taylor expansion of 1 in K 7.554 * [backup-simplify]: Simplify 1 into 1 7.554 * [backup-simplify]: Simplify 1 into 1 7.555 * [backup-simplify]: Simplify (* 1 1) into 1 7.555 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.556 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.556 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.557 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 7.557 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 7.557 * [backup-simplify]: Simplify (- 0) into 0 7.557 * [backup-simplify]: Simplify (+ 0 0) into 0 7.558 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.558 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 7.559 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 7.559 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.560 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.560 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.561 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 7.561 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 7.561 * [backup-simplify]: Simplify (- 0) into 0 7.562 * [backup-simplify]: Simplify (+ 0 0) into 0 7.562 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.562 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 7.563 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 7.563 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into 0 7.564 * [backup-simplify]: Simplify (+ 1 0) into 1 7.564 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 7.565 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.565 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.566 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.566 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.567 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.567 * [backup-simplify]: Simplify (- 0) into 0 7.568 * [backup-simplify]: Simplify (+ 0 0) into 0 7.568 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into (/ (pow (cos (/ -1/2 K)) 2) J) 7.569 * [backup-simplify]: Simplify (- (/ (/ (pow (cos (/ -1/2 K)) 2) J) J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 7.570 * [backup-simplify]: Simplify (+ (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 7.570 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J 7.570 * [taylor]: Taking taylor expansion of 2 in J 7.570 * [backup-simplify]: Simplify 2 into 2 7.570 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J 7.570 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 7.570 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 7.570 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 7.570 * [taylor]: Taking taylor expansion of -1/2 in J 7.570 * [backup-simplify]: Simplify -1/2 into -1/2 7.570 * [taylor]: Taking taylor expansion of K in J 7.570 * [backup-simplify]: Simplify K into K 7.570 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.570 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.570 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.570 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.570 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.571 * [backup-simplify]: Simplify (- 0) into 0 7.571 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.571 * [taylor]: Taking taylor expansion of (pow J 2) in J 7.571 * [taylor]: Taking taylor expansion of J in J 7.571 * [backup-simplify]: Simplify 0 into 0 7.571 * [backup-simplify]: Simplify 1 into 1 7.571 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 7.571 * [backup-simplify]: Simplify (* 1 1) into 1 7.571 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 7.572 * [backup-simplify]: Simplify (+ 0) into 0 7.572 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 7.572 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 7.573 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.574 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 7.574 * [backup-simplify]: Simplify (- 0) into 0 7.575 * [backup-simplify]: Simplify (+ 0 0) into 0 7.575 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 7.575 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.576 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 7.577 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 7.577 * [taylor]: Taking taylor expansion of 0 in K 7.577 * [backup-simplify]: Simplify 0 into 0 7.577 * [backup-simplify]: Simplify 0 into 0 7.577 * [taylor]: Taking taylor expansion of 0 in K 7.577 * [backup-simplify]: Simplify 0 into 0 7.577 * [backup-simplify]: Simplify 0 into 0 7.577 * [taylor]: Taking taylor expansion of 0 in K 7.577 * [backup-simplify]: Simplify 0 into 0 7.577 * [backup-simplify]: Simplify 0 into 0 7.577 * [backup-simplify]: Simplify 0 into 0 7.578 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.580 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 7.581 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.582 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.583 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 7.584 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 7.584 * [backup-simplify]: Simplify (- 0) into 0 7.584 * [backup-simplify]: Simplify (+ 0 0) into 0 7.585 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.586 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 7.587 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K))))))) into 0 7.589 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 7.590 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.590 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.591 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 7.592 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 7.593 * [backup-simplify]: Simplify (- 0) into 0 7.593 * [backup-simplify]: Simplify (+ 0 0) into 0 7.594 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.594 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 7.598 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K))))))) into 0 7.599 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0 7.599 * [backup-simplify]: Simplify (+ 0 0) into 0 7.599 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 7.600 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.601 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.602 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.603 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 7.604 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 7.604 * [backup-simplify]: Simplify (- 0) into 0 7.604 * [backup-simplify]: Simplify (+ 0 0) into 0 7.605 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0 7.605 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)) (* (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) (/ 0 J)))) into 0 7.606 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 7.607 * [taylor]: Taking taylor expansion of 0 in J 7.607 * [backup-simplify]: Simplify 0 into 0 7.607 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.608 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.608 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.609 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.610 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.610 * [backup-simplify]: Simplify (- 0) into 0 7.611 * [backup-simplify]: Simplify (+ 0 0) into 0 7.611 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 7.612 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.613 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.614 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0 7.614 * [taylor]: Taking taylor expansion of 0 in K 7.614 * [backup-simplify]: Simplify 0 into 0 7.614 * [backup-simplify]: Simplify 0 into 0 7.614 * [taylor]: Taking taylor expansion of 0 in K 7.614 * [backup-simplify]: Simplify 0 into 0 7.614 * [backup-simplify]: Simplify 0 into 0 7.615 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U) 7.615 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 7.615 * [backup-simplify]: Simplify (* (sqrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2)))))) (* (cos (/ K 2)) (* -2 J))) into (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))))) 7.615 * [approximate]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))))) in (U J K) around 0 7.615 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))))) in K 7.615 * [taylor]: Taking taylor expansion of -2 in K 7.615 * [backup-simplify]: Simplify -2 into -2 7.615 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) in K 7.615 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 7.615 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 7.615 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 7.615 * [taylor]: Taking taylor expansion of 1/2 in K 7.615 * [backup-simplify]: Simplify 1/2 into 1/2 7.615 * [taylor]: Taking taylor expansion of K in K 7.615 * [backup-simplify]: Simplify 0 into 0 7.615 * [backup-simplify]: Simplify 1 into 1 7.616 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.616 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.616 * [taylor]: Taking taylor expansion of J in K 7.617 * [backup-simplify]: Simplify J into J 7.617 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in K 7.617 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 7.617 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 7.617 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in K 7.617 * [taylor]: Taking taylor expansion of (* 1 1) in K 7.617 * [taylor]: Taking taylor expansion of 1 in K 7.617 * [backup-simplify]: Simplify 1 into 1 7.617 * [taylor]: Taking taylor expansion of 1 in K 7.617 * [backup-simplify]: Simplify 1 into 1 7.617 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 7.617 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 7.617 * [taylor]: Taking taylor expansion of 1/2 in K 7.617 * [backup-simplify]: Simplify 1/2 into 1/2 7.617 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 7.617 * [taylor]: Taking taylor expansion of U in K 7.617 * [backup-simplify]: Simplify U into U 7.617 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 7.617 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 7.617 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 7.617 * [taylor]: Taking taylor expansion of 1/2 in K 7.617 * [backup-simplify]: Simplify 1/2 into 1/2 7.617 * [taylor]: Taking taylor expansion of K in K 7.617 * [backup-simplify]: Simplify 0 into 0 7.617 * [backup-simplify]: Simplify 1 into 1 7.618 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.618 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.618 * [taylor]: Taking taylor expansion of J in K 7.618 * [backup-simplify]: Simplify J into J 7.618 * [backup-simplify]: Simplify (* 1 J) into J 7.619 * [backup-simplify]: Simplify (/ U J) into (/ U J) 7.619 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 7.619 * [taylor]: Taking taylor expansion of 1/2 in K 7.619 * [backup-simplify]: Simplify 1/2 into 1/2 7.619 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 7.619 * [taylor]: Taking taylor expansion of U in K 7.619 * [backup-simplify]: Simplify U into U 7.619 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 7.619 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 7.619 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 7.619 * [taylor]: Taking taylor expansion of 1/2 in K 7.619 * [backup-simplify]: Simplify 1/2 into 1/2 7.619 * [taylor]: Taking taylor expansion of K in K 7.619 * [backup-simplify]: Simplify 0 into 0 7.619 * [backup-simplify]: Simplify 1 into 1 7.619 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.620 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.620 * [taylor]: Taking taylor expansion of J in K 7.620 * [backup-simplify]: Simplify J into J 7.620 * [backup-simplify]: Simplify (* 1 J) into J 7.620 * [backup-simplify]: Simplify (/ U J) into (/ U J) 7.621 * [backup-simplify]: Simplify (* 1 1) into 1 7.621 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 7.621 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 7.621 * [backup-simplify]: Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2))) 7.621 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 7.621 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 7.622 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.622 * [backup-simplify]: Simplify (+ 0) into 0 7.623 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 7.623 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 7.623 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 7.624 * [backup-simplify]: Simplify (+ 0) into 0 7.625 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 7.625 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 7.625 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 7.625 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))) into 0 7.626 * [backup-simplify]: Simplify (+ 0 0) into 0 7.626 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 7.626 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4) 7.627 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) into 0 7.627 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))))) in J 7.627 * [taylor]: Taking taylor expansion of -2 in J 7.627 * [backup-simplify]: Simplify -2 into -2 7.627 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) in J 7.627 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 7.627 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 7.627 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 7.627 * [taylor]: Taking taylor expansion of 1/2 in J 7.627 * [backup-simplify]: Simplify 1/2 into 1/2 7.627 * [taylor]: Taking taylor expansion of K in J 7.627 * [backup-simplify]: Simplify K into K 7.627 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 7.627 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 7.627 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 7.627 * [taylor]: Taking taylor expansion of J in J 7.627 * [backup-simplify]: Simplify 0 into 0 7.627 * [backup-simplify]: Simplify 1 into 1 7.627 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in J 7.627 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 7.627 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 7.627 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in J 7.627 * [taylor]: Taking taylor expansion of (* 1 1) in J 7.627 * [taylor]: Taking taylor expansion of 1 in J 7.628 * [backup-simplify]: Simplify 1 into 1 7.628 * [taylor]: Taking taylor expansion of 1 in J 7.628 * [backup-simplify]: Simplify 1 into 1 7.628 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 7.628 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 7.628 * [taylor]: Taking taylor expansion of 1/2 in J 7.628 * [backup-simplify]: Simplify 1/2 into 1/2 7.628 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 7.628 * [taylor]: Taking taylor expansion of U in J 7.628 * [backup-simplify]: Simplify U into U 7.628 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 7.628 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 7.628 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 7.628 * [taylor]: Taking taylor expansion of 1/2 in J 7.628 * [backup-simplify]: Simplify 1/2 into 1/2 7.628 * [taylor]: Taking taylor expansion of K in J 7.628 * [backup-simplify]: Simplify K into K 7.628 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 7.628 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 7.628 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 7.628 * [taylor]: Taking taylor expansion of J in J 7.628 * [backup-simplify]: Simplify 0 into 0 7.628 * [backup-simplify]: Simplify 1 into 1 7.628 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 7.628 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 7.629 * [backup-simplify]: Simplify (- 0) into 0 7.629 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 7.629 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 7.629 * [backup-simplify]: Simplify (+ 0) into 0 7.630 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 7.630 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 7.631 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.631 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 7.632 * [backup-simplify]: Simplify (- 0) into 0 7.632 * [backup-simplify]: Simplify (+ 0 0) into 0 7.633 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 7.633 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 7.633 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 7.633 * [taylor]: Taking taylor expansion of 1/2 in J 7.633 * [backup-simplify]: Simplify 1/2 into 1/2 7.633 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 7.633 * [taylor]: Taking taylor expansion of U in J 7.633 * [backup-simplify]: Simplify U into U 7.633 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 7.633 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 7.633 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 7.633 * [taylor]: Taking taylor expansion of 1/2 in J 7.633 * [backup-simplify]: Simplify 1/2 into 1/2 7.633 * [taylor]: Taking taylor expansion of K in J 7.633 * [backup-simplify]: Simplify K into K 7.633 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 7.633 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 7.633 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 7.633 * [taylor]: Taking taylor expansion of J in J 7.633 * [backup-simplify]: Simplify 0 into 0 7.633 * [backup-simplify]: Simplify 1 into 1 7.633 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 7.634 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 7.634 * [backup-simplify]: Simplify (- 0) into 0 7.634 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 7.634 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 7.635 * [backup-simplify]: Simplify (+ 0) into 0 7.635 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 7.635 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 7.636 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.637 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 7.637 * [backup-simplify]: Simplify (- 0) into 0 7.637 * [backup-simplify]: Simplify (+ 0 0) into 0 7.638 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 7.638 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 7.638 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 7.638 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 7.638 * [backup-simplify]: Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 7.639 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 7.639 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 7.640 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.640 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.641 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 7.642 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.642 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.643 * [backup-simplify]: Simplify (- 0) into 0 7.643 * [backup-simplify]: Simplify (+ 0 0) into 0 7.644 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 7.644 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 7.645 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 7.645 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.646 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.647 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 7.648 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.648 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.649 * [backup-simplify]: Simplify (- 0) into 0 7.649 * [backup-simplify]: Simplify (+ 0 0) into 0 7.650 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 7.650 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 7.650 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 7.651 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0 7.651 * [backup-simplify]: Simplify (+ 0 0) into 0 7.651 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 7.652 * [backup-simplify]: Simplify (sqrt 0) into 0 7.652 * [backup-simplify]: Simplify (/ (* 1/2 (/ U (cos (* 1/2 K)))) (* 2 (sqrt 0))) into (* +nan.0 (/ U (cos (* 1/2 K)))) 7.652 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))))) in U 7.652 * [taylor]: Taking taylor expansion of -2 in U 7.652 * [backup-simplify]: Simplify -2 into -2 7.652 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) in U 7.652 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 7.652 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 7.652 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 7.652 * [taylor]: Taking taylor expansion of 1/2 in U 7.652 * [backup-simplify]: Simplify 1/2 into 1/2 7.653 * [taylor]: Taking taylor expansion of K in U 7.653 * [backup-simplify]: Simplify K into K 7.653 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 7.653 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 7.653 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 7.653 * [taylor]: Taking taylor expansion of J in U 7.653 * [backup-simplify]: Simplify J into J 7.653 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 7.653 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 7.653 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 7.653 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 7.653 * [taylor]: Taking taylor expansion of (* 1 1) in U 7.653 * [taylor]: Taking taylor expansion of 1 in U 7.653 * [backup-simplify]: Simplify 1 into 1 7.653 * [taylor]: Taking taylor expansion of 1 in U 7.653 * [backup-simplify]: Simplify 1 into 1 7.653 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 7.653 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 7.653 * [taylor]: Taking taylor expansion of 1/2 in U 7.653 * [backup-simplify]: Simplify 1/2 into 1/2 7.653 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 7.653 * [taylor]: Taking taylor expansion of U in U 7.653 * [backup-simplify]: Simplify 0 into 0 7.653 * [backup-simplify]: Simplify 1 into 1 7.653 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 7.653 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 7.653 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 7.653 * [taylor]: Taking taylor expansion of 1/2 in U 7.653 * [backup-simplify]: Simplify 1/2 into 1/2 7.653 * [taylor]: Taking taylor expansion of K in U 7.653 * [backup-simplify]: Simplify K into K 7.654 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 7.654 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 7.654 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 7.654 * [taylor]: Taking taylor expansion of J in U 7.654 * [backup-simplify]: Simplify J into J 7.654 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 7.654 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 7.654 * [backup-simplify]: Simplify (- 0) into 0 7.654 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 7.654 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 7.655 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 7.655 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 7.655 * [taylor]: Taking taylor expansion of 1/2 in U 7.655 * [backup-simplify]: Simplify 1/2 into 1/2 7.655 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 7.655 * [taylor]: Taking taylor expansion of U in U 7.655 * [backup-simplify]: Simplify 0 into 0 7.655 * [backup-simplify]: Simplify 1 into 1 7.655 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 7.655 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 7.655 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 7.655 * [taylor]: Taking taylor expansion of 1/2 in U 7.655 * [backup-simplify]: Simplify 1/2 into 1/2 7.655 * [taylor]: Taking taylor expansion of K in U 7.655 * [backup-simplify]: Simplify K into K 7.655 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 7.655 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 7.655 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 7.655 * [taylor]: Taking taylor expansion of J in U 7.655 * [backup-simplify]: Simplify J into J 7.655 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 7.655 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 7.656 * [backup-simplify]: Simplify (- 0) into 0 7.656 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 7.656 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 7.656 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 7.656 * [backup-simplify]: Simplify (* 1 1) into 1 7.657 * [backup-simplify]: Simplify (+ 1 0) into 1 7.657 * [backup-simplify]: Simplify (sqrt 1) into 1 7.658 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.658 * [backup-simplify]: Simplify (+ 0 0) into 0 7.659 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.659 * [backup-simplify]: Simplify (sqrt 1) into 1 7.660 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.660 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))))) in U 7.660 * [taylor]: Taking taylor expansion of -2 in U 7.660 * [backup-simplify]: Simplify -2 into -2 7.660 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) in U 7.660 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 7.660 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 7.660 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 7.660 * [taylor]: Taking taylor expansion of 1/2 in U 7.660 * [backup-simplify]: Simplify 1/2 into 1/2 7.660 * [taylor]: Taking taylor expansion of K in U 7.660 * [backup-simplify]: Simplify K into K 7.660 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 7.660 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 7.660 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 7.660 * [taylor]: Taking taylor expansion of J in U 7.660 * [backup-simplify]: Simplify J into J 7.660 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 7.661 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 7.661 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 7.661 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 7.661 * [taylor]: Taking taylor expansion of (* 1 1) in U 7.661 * [taylor]: Taking taylor expansion of 1 in U 7.661 * [backup-simplify]: Simplify 1 into 1 7.661 * [taylor]: Taking taylor expansion of 1 in U 7.661 * [backup-simplify]: Simplify 1 into 1 7.661 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 7.661 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 7.661 * [taylor]: Taking taylor expansion of 1/2 in U 7.661 * [backup-simplify]: Simplify 1/2 into 1/2 7.661 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 7.661 * [taylor]: Taking taylor expansion of U in U 7.661 * [backup-simplify]: Simplify 0 into 0 7.661 * [backup-simplify]: Simplify 1 into 1 7.661 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 7.661 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 7.661 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 7.661 * [taylor]: Taking taylor expansion of 1/2 in U 7.661 * [backup-simplify]: Simplify 1/2 into 1/2 7.661 * [taylor]: Taking taylor expansion of K in U 7.661 * [backup-simplify]: Simplify K into K 7.661 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 7.661 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 7.661 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 7.661 * [taylor]: Taking taylor expansion of J in U 7.661 * [backup-simplify]: Simplify J into J 7.661 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 7.662 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 7.662 * [backup-simplify]: Simplify (- 0) into 0 7.662 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 7.662 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 7.662 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 7.662 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 7.662 * [taylor]: Taking taylor expansion of 1/2 in U 7.662 * [backup-simplify]: Simplify 1/2 into 1/2 7.662 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 7.662 * [taylor]: Taking taylor expansion of U in U 7.662 * [backup-simplify]: Simplify 0 into 0 7.662 * [backup-simplify]: Simplify 1 into 1 7.662 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 7.662 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 7.663 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 7.663 * [taylor]: Taking taylor expansion of 1/2 in U 7.663 * [backup-simplify]: Simplify 1/2 into 1/2 7.663 * [taylor]: Taking taylor expansion of K in U 7.663 * [backup-simplify]: Simplify K into K 7.663 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 7.663 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 7.663 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 7.663 * [taylor]: Taking taylor expansion of J in U 7.663 * [backup-simplify]: Simplify J into J 7.663 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 7.663 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 7.663 * [backup-simplify]: Simplify (- 0) into 0 7.663 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 7.664 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 7.664 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 7.664 * [backup-simplify]: Simplify (* 1 1) into 1 7.664 * [backup-simplify]: Simplify (+ 1 0) into 1 7.665 * [backup-simplify]: Simplify (sqrt 1) into 1 7.665 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.666 * [backup-simplify]: Simplify (+ 0 0) into 0 7.666 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.667 * [backup-simplify]: Simplify (sqrt 1) into 1 7.667 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.668 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 7.668 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 7.668 * [backup-simplify]: Simplify (- 0) into 0 7.668 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 7.668 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 7.668 * [backup-simplify]: Simplify (* (* (cos (* 1/2 K)) J) 1) into (* (cos (* 1/2 K)) J) 7.669 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J)) 7.669 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J 7.669 * [taylor]: Taking taylor expansion of -2 in J 7.669 * [backup-simplify]: Simplify -2 into -2 7.669 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 7.669 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 7.669 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 7.669 * [taylor]: Taking taylor expansion of 1/2 in J 7.669 * [backup-simplify]: Simplify 1/2 into 1/2 7.669 * [taylor]: Taking taylor expansion of K in J 7.669 * [backup-simplify]: Simplify K into K 7.669 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 7.669 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 7.669 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 7.669 * [taylor]: Taking taylor expansion of J in J 7.669 * [backup-simplify]: Simplify 0 into 0 7.669 * [backup-simplify]: Simplify 1 into 1 7.669 * [backup-simplify]: Simplify (+ 0) into 0 7.670 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 7.670 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 7.671 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.672 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 7.672 * [backup-simplify]: Simplify (- 0) into 0 7.672 * [backup-simplify]: Simplify (+ 0 0) into 0 7.672 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 7.673 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (* 0 1)) into 0 7.673 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0 7.674 * [taylor]: Taking taylor expansion of 0 in J 7.674 * [backup-simplify]: Simplify 0 into 0 7.674 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 7.674 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 7.674 * [backup-simplify]: Simplify (- 0) into 0 7.674 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 7.674 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 7.674 * [backup-simplify]: Simplify (* -2 0) into 0 7.674 * [taylor]: Taking taylor expansion of 0 in K 7.674 * [backup-simplify]: Simplify 0 into 0 7.674 * [backup-simplify]: Simplify 0 into 0 7.675 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.675 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 7.675 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 7.675 * [backup-simplify]: Simplify (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 1/2 (* (cos (* 1/2 K)) J))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 7.675 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 7.676 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 7.677 * [backup-simplify]: Simplify (/ (- (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 7.678 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.678 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.679 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 7.679 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.679 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.680 * [backup-simplify]: Simplify (- 0) into 0 7.680 * [backup-simplify]: Simplify (+ 0 0) into 0 7.680 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0 7.681 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 1))) into (* 1/16 (/ 1 (* (cos (* 1/2 K)) J))) 7.681 * [backup-simplify]: Simplify (+ (* -2 (* 1/16 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J)))) into (- (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) 7.681 * [taylor]: Taking taylor expansion of (- (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) in J 7.681 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (* (cos (* 1/2 K)) J))) in J 7.681 * [taylor]: Taking taylor expansion of 1/8 in J 7.681 * [backup-simplify]: Simplify 1/8 into 1/8 7.681 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in J 7.681 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 7.681 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 7.681 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 7.681 * [taylor]: Taking taylor expansion of 1/2 in J 7.681 * [backup-simplify]: Simplify 1/2 into 1/2 7.681 * [taylor]: Taking taylor expansion of K in J 7.681 * [backup-simplify]: Simplify K into K 7.681 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 7.682 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 7.682 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 7.682 * [taylor]: Taking taylor expansion of J in J 7.682 * [backup-simplify]: Simplify 0 into 0 7.682 * [backup-simplify]: Simplify 1 into 1 7.682 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 7.682 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 7.682 * [backup-simplify]: Simplify (- 0) into 0 7.682 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 7.682 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 7.682 * [backup-simplify]: Simplify (+ 0) into 0 7.683 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 7.683 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 7.684 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.684 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 7.684 * [backup-simplify]: Simplify (- 0) into 0 7.685 * [backup-simplify]: Simplify (+ 0 0) into 0 7.685 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 7.685 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 K))) into (/ 1 (cos (* 1/2 K))) 7.685 * [backup-simplify]: Simplify (* 1/8 (/ 1 (cos (* 1/2 K)))) into (/ 1/8 (cos (* 1/2 K))) 7.685 * [backup-simplify]: Simplify (- (/ 1/8 (cos (* 1/2 K)))) into (- (* 1/8 (/ 1 (cos (* 1/2 K))))) 7.685 * [taylor]: Taking taylor expansion of (- (* 1/8 (/ 1 (cos (* 1/2 K))))) in K 7.685 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (cos (* 1/2 K)))) in K 7.685 * [taylor]: Taking taylor expansion of 1/8 in K 7.685 * [backup-simplify]: Simplify 1/8 into 1/8 7.685 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 1/2 K))) in K 7.685 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 7.685 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 7.685 * [taylor]: Taking taylor expansion of 1/2 in K 7.685 * [backup-simplify]: Simplify 1/2 into 1/2 7.685 * [taylor]: Taking taylor expansion of K in K 7.685 * [backup-simplify]: Simplify 0 into 0 7.685 * [backup-simplify]: Simplify 1 into 1 7.686 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.686 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.686 * [backup-simplify]: Simplify (/ 1 1) into 1 7.687 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 7.687 * [backup-simplify]: Simplify (- 1/8) into -1/8 7.687 * [backup-simplify]: Simplify -1/8 into -1/8 7.687 * [taylor]: Taking taylor expansion of 0 in K 7.687 * [backup-simplify]: Simplify 0 into 0 7.687 * [backup-simplify]: Simplify 0 into 0 7.687 * [backup-simplify]: Simplify (+ 0) into 0 7.688 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 7.688 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 7.688 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.689 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 7.689 * [backup-simplify]: Simplify (- 0) into 0 7.689 * [backup-simplify]: Simplify (+ 0 0) into 0 7.689 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 7.690 * [backup-simplify]: Simplify (+ (* -2 (cos (* 1/2 K))) (* 0 0)) into (- (* 2 (cos (* 1/2 K)))) 7.690 * [taylor]: Taking taylor expansion of (- (* 2 (cos (* 1/2 K)))) in K 7.690 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K 7.690 * [taylor]: Taking taylor expansion of 2 in K 7.690 * [backup-simplify]: Simplify 2 into 2 7.690 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 7.690 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 7.690 * [taylor]: Taking taylor expansion of 1/2 in K 7.690 * [backup-simplify]: Simplify 1/2 into 1/2 7.690 * [taylor]: Taking taylor expansion of K in K 7.690 * [backup-simplify]: Simplify 0 into 0 7.690 * [backup-simplify]: Simplify 1 into 1 7.690 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.691 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.691 * [backup-simplify]: Simplify (* 2 1) into 2 7.691 * [backup-simplify]: Simplify (- 2) into -2 7.691 * [backup-simplify]: Simplify -2 into -2 7.691 * [backup-simplify]: Simplify 0 into 0 7.692 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.692 * [backup-simplify]: Simplify (+ 0) into 0 7.692 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 7.693 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 7.694 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.694 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 7.694 * [backup-simplify]: Simplify (- 0) into 0 7.695 * [backup-simplify]: Simplify (+ 0 0) into 0 7.695 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 7.695 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 7.696 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 7.696 * [backup-simplify]: Simplify (+ 0) into 0 7.697 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 7.697 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 7.698 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.698 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 7.699 * [backup-simplify]: Simplify (- 0) into 0 7.699 * [backup-simplify]: Simplify (+ 0 0) into 0 7.699 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 7.699 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 7.700 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 7.700 * [backup-simplify]: Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J)))) into 0 7.701 * [backup-simplify]: Simplify (+ 0 0) into 0 7.701 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 7.702 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 7.703 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.704 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.705 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 7.706 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 7.707 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 7.707 * [backup-simplify]: Simplify (- 0) into 0 7.708 * [backup-simplify]: Simplify (+ 0 0) into 0 7.708 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 7.709 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (+ (* 0 (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 1)))) into 0 7.710 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/16 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0 7.710 * [taylor]: Taking taylor expansion of 0 in J 7.710 * [backup-simplify]: Simplify 0 into 0 7.711 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.712 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.713 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 7.713 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.714 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.714 * [backup-simplify]: Simplify (- 0) into 0 7.715 * [backup-simplify]: Simplify (+ 0 0) into 0 7.715 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 7.716 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 7.716 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (/ 1 (cos (* 1/2 K))))) into 0 7.716 * [backup-simplify]: Simplify (- 0) into 0 7.716 * [taylor]: Taking taylor expansion of 0 in K 7.716 * [backup-simplify]: Simplify 0 into 0 7.716 * [backup-simplify]: Simplify 0 into 0 7.717 * [taylor]: Taking taylor expansion of 0 in K 7.717 * [backup-simplify]: Simplify 0 into 0 7.717 * [backup-simplify]: Simplify 0 into 0 7.717 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.718 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.719 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 7.720 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.720 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.721 * [backup-simplify]: Simplify (- 0) into 0 7.721 * [backup-simplify]: Simplify (+ 0 0) into 0 7.722 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 7.722 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0 7.722 * [taylor]: Taking taylor expansion of 0 in K 7.723 * [backup-simplify]: Simplify 0 into 0 7.723 * [backup-simplify]: Simplify 0 into 0 7.723 * [backup-simplify]: Simplify (+ 0) into 0 7.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.724 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 1)) into 0 7.725 * [backup-simplify]: Simplify (- 0) into 0 7.725 * [backup-simplify]: Simplify 0 into 0 7.725 * [backup-simplify]: Simplify 0 into 0 7.725 * [backup-simplify]: Simplify (+ (* -2 (* 1 (* J 1))) (* -1/8 (* 1 (* (/ 1 J) (pow U 2))))) into (- (+ (* 2 J) (* 1/8 (/ (pow U 2) J)))) 7.726 * [backup-simplify]: Simplify (* (sqrt (hypot 1 (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) (* (cos (/ (/ 1 K) 2)) (* -2 (/ 1 J)))) into (* -2 (* (/ (cos (/ 1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))))) 7.726 * [approximate]: Taking taylor expansion of (* -2 (* (/ (cos (/ 1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))))) in (U J K) around 0 7.726 * [taylor]: Taking taylor expansion of (* -2 (* (/ (cos (/ 1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))))) in K 7.726 * [taylor]: Taking taylor expansion of -2 in K 7.726 * [backup-simplify]: Simplify -2 into -2 7.726 * [taylor]: Taking taylor expansion of (* (/ (cos (/ 1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) in K 7.726 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 7.726 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 7.726 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 7.726 * [taylor]: Taking taylor expansion of 1/2 in K 7.726 * [backup-simplify]: Simplify 1/2 into 1/2 7.726 * [taylor]: Taking taylor expansion of K in K 7.726 * [backup-simplify]: Simplify 0 into 0 7.726 * [backup-simplify]: Simplify 1 into 1 7.726 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.726 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.727 * [taylor]: Taking taylor expansion of J in K 7.727 * [backup-simplify]: Simplify J into J 7.727 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 7.727 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in K 7.727 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 7.727 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 7.727 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in K 7.727 * [taylor]: Taking taylor expansion of (* 1 1) in K 7.727 * [taylor]: Taking taylor expansion of 1 in K 7.727 * [backup-simplify]: Simplify 1 into 1 7.727 * [taylor]: Taking taylor expansion of 1 in K 7.727 * [backup-simplify]: Simplify 1 into 1 7.727 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 7.727 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 7.727 * [taylor]: Taking taylor expansion of 1/2 in K 7.727 * [backup-simplify]: Simplify 1/2 into 1/2 7.727 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 7.727 * [taylor]: Taking taylor expansion of J in K 7.727 * [backup-simplify]: Simplify J into J 7.727 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 7.727 * [taylor]: Taking taylor expansion of U in K 7.727 * [backup-simplify]: Simplify U into U 7.727 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 7.727 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 7.727 * [taylor]: Taking taylor expansion of 1/2 in K 7.727 * [backup-simplify]: Simplify 1/2 into 1/2 7.727 * [taylor]: Taking taylor expansion of K in K 7.727 * [backup-simplify]: Simplify 0 into 0 7.727 * [backup-simplify]: Simplify 1 into 1 7.730 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.730 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.730 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 7.730 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 7.730 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 7.730 * [taylor]: Taking taylor expansion of 1/2 in K 7.730 * [backup-simplify]: Simplify 1/2 into 1/2 7.730 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 7.730 * [taylor]: Taking taylor expansion of J in K 7.730 * [backup-simplify]: Simplify J into J 7.730 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 7.730 * [taylor]: Taking taylor expansion of U in K 7.730 * [backup-simplify]: Simplify U into U 7.730 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 7.731 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 7.731 * [taylor]: Taking taylor expansion of 1/2 in K 7.731 * [backup-simplify]: Simplify 1/2 into 1/2 7.731 * [taylor]: Taking taylor expansion of K in K 7.731 * [backup-simplify]: Simplify 0 into 0 7.731 * [backup-simplify]: Simplify 1 into 1 7.731 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.731 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.731 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 7.732 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 7.732 * [backup-simplify]: Simplify (* 1 1) into 1 7.732 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 7.732 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 7.733 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 7.733 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 7.733 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 7.734 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.735 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 7.735 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 7.736 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 7.736 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 7.737 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 7.738 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 7.738 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into 0 7.739 * [backup-simplify]: Simplify (+ 0 0) into 0 7.739 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 7.739 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) 7.740 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))))) into 0 7.740 * [taylor]: Taking taylor expansion of (* -2 (* (/ (cos (/ 1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))))) in J 7.740 * [taylor]: Taking taylor expansion of -2 in J 7.740 * [backup-simplify]: Simplify -2 into -2 7.740 * [taylor]: Taking taylor expansion of (* (/ (cos (/ 1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) in J 7.740 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 7.740 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 7.740 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 7.740 * [taylor]: Taking taylor expansion of 1/2 in J 7.740 * [backup-simplify]: Simplify 1/2 into 1/2 7.740 * [taylor]: Taking taylor expansion of K in J 7.740 * [backup-simplify]: Simplify K into K 7.740 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.740 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.740 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.740 * [taylor]: Taking taylor expansion of J in J 7.740 * [backup-simplify]: Simplify 0 into 0 7.740 * [backup-simplify]: Simplify 1 into 1 7.740 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.741 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.741 * [backup-simplify]: Simplify (- 0) into 0 7.741 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.741 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.741 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in J 7.741 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 7.741 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 7.741 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in J 7.741 * [taylor]: Taking taylor expansion of (* 1 1) in J 7.741 * [taylor]: Taking taylor expansion of 1 in J 7.741 * [backup-simplify]: Simplify 1 into 1 7.741 * [taylor]: Taking taylor expansion of 1 in J 7.741 * [backup-simplify]: Simplify 1 into 1 7.741 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 7.741 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 7.741 * [taylor]: Taking taylor expansion of 1/2 in J 7.741 * [backup-simplify]: Simplify 1/2 into 1/2 7.741 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 7.741 * [taylor]: Taking taylor expansion of J in J 7.741 * [backup-simplify]: Simplify 0 into 0 7.741 * [backup-simplify]: Simplify 1 into 1 7.741 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 7.741 * [taylor]: Taking taylor expansion of U in J 7.741 * [backup-simplify]: Simplify U into U 7.741 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 7.741 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 7.741 * [taylor]: Taking taylor expansion of 1/2 in J 7.741 * [backup-simplify]: Simplify 1/2 into 1/2 7.741 * [taylor]: Taking taylor expansion of K in J 7.741 * [backup-simplify]: Simplify K into K 7.741 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.741 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.741 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.742 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.742 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.742 * [backup-simplify]: Simplify (- 0) into 0 7.742 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.742 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 7.742 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 7.742 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 7.742 * [taylor]: Taking taylor expansion of 1/2 in J 7.742 * [backup-simplify]: Simplify 1/2 into 1/2 7.742 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 7.742 * [taylor]: Taking taylor expansion of J in J 7.742 * [backup-simplify]: Simplify 0 into 0 7.742 * [backup-simplify]: Simplify 1 into 1 7.742 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 7.742 * [taylor]: Taking taylor expansion of U in J 7.742 * [backup-simplify]: Simplify U into U 7.742 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 7.742 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 7.742 * [taylor]: Taking taylor expansion of 1/2 in J 7.742 * [backup-simplify]: Simplify 1/2 into 1/2 7.742 * [taylor]: Taking taylor expansion of K in J 7.742 * [backup-simplify]: Simplify K into K 7.742 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.742 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.742 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.742 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.743 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.743 * [backup-simplify]: Simplify (- 0) into 0 7.743 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.743 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 7.743 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 7.743 * [backup-simplify]: Simplify (* 1 1) into 1 7.743 * [backup-simplify]: Simplify (+ 1 0) into 1 7.744 * [backup-simplify]: Simplify (sqrt 1) into 1 7.744 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.744 * [backup-simplify]: Simplify (+ 0 0) into 0 7.745 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.745 * [backup-simplify]: Simplify (sqrt 1) into 1 7.745 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.745 * [taylor]: Taking taylor expansion of (* -2 (* (/ (cos (/ 1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))))) in U 7.745 * [taylor]: Taking taylor expansion of -2 in U 7.745 * [backup-simplify]: Simplify -2 into -2 7.745 * [taylor]: Taking taylor expansion of (* (/ (cos (/ 1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) in U 7.746 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 7.746 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 7.746 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 7.746 * [taylor]: Taking taylor expansion of 1/2 in U 7.746 * [backup-simplify]: Simplify 1/2 into 1/2 7.746 * [taylor]: Taking taylor expansion of K in U 7.746 * [backup-simplify]: Simplify K into K 7.746 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.746 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.746 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.746 * [taylor]: Taking taylor expansion of J in U 7.746 * [backup-simplify]: Simplify J into J 7.746 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.746 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.746 * [backup-simplify]: Simplify (- 0) into 0 7.746 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.746 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 7.746 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 7.746 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 7.746 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 7.746 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 7.746 * [taylor]: Taking taylor expansion of (* 1 1) in U 7.746 * [taylor]: Taking taylor expansion of 1 in U 7.746 * [backup-simplify]: Simplify 1 into 1 7.746 * [taylor]: Taking taylor expansion of 1 in U 7.746 * [backup-simplify]: Simplify 1 into 1 7.746 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 7.746 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 7.747 * [taylor]: Taking taylor expansion of 1/2 in U 7.747 * [backup-simplify]: Simplify 1/2 into 1/2 7.747 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 7.747 * [taylor]: Taking taylor expansion of J in U 7.747 * [backup-simplify]: Simplify J into J 7.747 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 7.747 * [taylor]: Taking taylor expansion of U in U 7.747 * [backup-simplify]: Simplify 0 into 0 7.747 * [backup-simplify]: Simplify 1 into 1 7.747 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 7.747 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 7.747 * [taylor]: Taking taylor expansion of 1/2 in U 7.747 * [backup-simplify]: Simplify 1/2 into 1/2 7.747 * [taylor]: Taking taylor expansion of K in U 7.747 * [backup-simplify]: Simplify K into K 7.747 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.747 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.747 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.747 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.747 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.747 * [backup-simplify]: Simplify (- 0) into 0 7.747 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.747 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 7.748 * [backup-simplify]: Simplify (+ 0) into 0 7.748 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 7.748 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 7.748 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.749 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 7.749 * [backup-simplify]: Simplify (- 0) into 0 7.749 * [backup-simplify]: Simplify (+ 0 0) into 0 7.749 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 7.750 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 7.750 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 7.750 * [taylor]: Taking taylor expansion of 1/2 in U 7.750 * [backup-simplify]: Simplify 1/2 into 1/2 7.750 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 7.750 * [taylor]: Taking taylor expansion of J in U 7.750 * [backup-simplify]: Simplify J into J 7.750 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 7.750 * [taylor]: Taking taylor expansion of U in U 7.750 * [backup-simplify]: Simplify 0 into 0 7.750 * [backup-simplify]: Simplify 1 into 1 7.750 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 7.750 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 7.750 * [taylor]: Taking taylor expansion of 1/2 in U 7.750 * [backup-simplify]: Simplify 1/2 into 1/2 7.750 * [taylor]: Taking taylor expansion of K in U 7.750 * [backup-simplify]: Simplify K into K 7.750 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.750 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.750 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.750 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.750 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.750 * [backup-simplify]: Simplify (- 0) into 0 7.750 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.750 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 7.751 * [backup-simplify]: Simplify (+ 0) into 0 7.751 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 7.751 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 7.752 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.752 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 7.752 * [backup-simplify]: Simplify (- 0) into 0 7.752 * [backup-simplify]: Simplify (+ 0 0) into 0 7.753 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 7.753 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 7.753 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 7.753 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 7.753 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 7.753 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 7.753 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 7.754 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.754 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.754 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.755 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.755 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.755 * [backup-simplify]: Simplify (- 0) into 0 7.756 * [backup-simplify]: Simplify (+ 0 0) into 0 7.756 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 7.756 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 7.757 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 7.757 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.758 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.758 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.758 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.758 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.759 * [backup-simplify]: Simplify (- 0) into 0 7.759 * [backup-simplify]: Simplify (+ 0 0) into 0 7.759 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 7.760 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 7.760 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 7.760 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 7.760 * [backup-simplify]: Simplify (+ 0 0) into 0 7.761 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 7.761 * [backup-simplify]: Simplify (sqrt 0) into 0 7.761 * [backup-simplify]: Simplify (/ (* 1/2 (/ J (cos (/ 1/2 K)))) (* 2 (sqrt 0))) into (* +nan.0 (/ J (cos (/ 1/2 K)))) 7.761 * [taylor]: Taking taylor expansion of (* -2 (* (/ (cos (/ 1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))))) in U 7.761 * [taylor]: Taking taylor expansion of -2 in U 7.761 * [backup-simplify]: Simplify -2 into -2 7.761 * [taylor]: Taking taylor expansion of (* (/ (cos (/ 1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) in U 7.761 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 7.761 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 7.761 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 7.761 * [taylor]: Taking taylor expansion of 1/2 in U 7.761 * [backup-simplify]: Simplify 1/2 into 1/2 7.761 * [taylor]: Taking taylor expansion of K in U 7.761 * [backup-simplify]: Simplify K into K 7.761 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.762 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.762 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.762 * [taylor]: Taking taylor expansion of J in U 7.762 * [backup-simplify]: Simplify J into J 7.762 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.762 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.762 * [backup-simplify]: Simplify (- 0) into 0 7.762 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.762 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 7.762 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 7.762 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 7.762 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 7.762 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 7.762 * [taylor]: Taking taylor expansion of (* 1 1) in U 7.762 * [taylor]: Taking taylor expansion of 1 in U 7.762 * [backup-simplify]: Simplify 1 into 1 7.762 * [taylor]: Taking taylor expansion of 1 in U 7.762 * [backup-simplify]: Simplify 1 into 1 7.762 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 7.762 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 7.762 * [taylor]: Taking taylor expansion of 1/2 in U 7.762 * [backup-simplify]: Simplify 1/2 into 1/2 7.762 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 7.762 * [taylor]: Taking taylor expansion of J in U 7.762 * [backup-simplify]: Simplify J into J 7.762 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 7.762 * [taylor]: Taking taylor expansion of U in U 7.762 * [backup-simplify]: Simplify 0 into 0 7.763 * [backup-simplify]: Simplify 1 into 1 7.763 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 7.763 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 7.763 * [taylor]: Taking taylor expansion of 1/2 in U 7.763 * [backup-simplify]: Simplify 1/2 into 1/2 7.763 * [taylor]: Taking taylor expansion of K in U 7.763 * [backup-simplify]: Simplify K into K 7.763 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.763 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.763 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.763 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.763 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.763 * [backup-simplify]: Simplify (- 0) into 0 7.763 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.763 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 7.764 * [backup-simplify]: Simplify (+ 0) into 0 7.764 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 7.764 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 7.765 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.765 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 7.766 * [backup-simplify]: Simplify (- 0) into 0 7.766 * [backup-simplify]: Simplify (+ 0 0) into 0 7.766 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 7.766 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 7.766 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 7.766 * [taylor]: Taking taylor expansion of 1/2 in U 7.767 * [backup-simplify]: Simplify 1/2 into 1/2 7.767 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 7.767 * [taylor]: Taking taylor expansion of J in U 7.767 * [backup-simplify]: Simplify J into J 7.767 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 7.767 * [taylor]: Taking taylor expansion of U in U 7.767 * [backup-simplify]: Simplify 0 into 0 7.767 * [backup-simplify]: Simplify 1 into 1 7.767 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 7.767 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 7.767 * [taylor]: Taking taylor expansion of 1/2 in U 7.767 * [backup-simplify]: Simplify 1/2 into 1/2 7.767 * [taylor]: Taking taylor expansion of K in U 7.767 * [backup-simplify]: Simplify K into K 7.767 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.767 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.767 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.767 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.767 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.767 * [backup-simplify]: Simplify (- 0) into 0 7.767 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.767 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 7.768 * [backup-simplify]: Simplify (+ 0) into 0 7.768 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 7.768 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 7.769 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.769 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 7.770 * [backup-simplify]: Simplify (- 0) into 0 7.770 * [backup-simplify]: Simplify (+ 0 0) into 0 7.770 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 7.770 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 7.771 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 7.771 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 7.771 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 7.771 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 7.772 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 7.773 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.773 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.774 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.774 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.775 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.775 * [backup-simplify]: Simplify (- 0) into 0 7.776 * [backup-simplify]: Simplify (+ 0 0) into 0 7.776 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 7.777 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 7.777 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 7.778 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.779 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.779 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.780 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.780 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.780 * [backup-simplify]: Simplify (- 0) into 0 7.781 * [backup-simplify]: Simplify (+ 0 0) into 0 7.782 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 7.782 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 7.782 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 7.783 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 7.783 * [backup-simplify]: Simplify (+ 0 0) into 0 7.783 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 7.784 * [backup-simplify]: Simplify (sqrt 0) into 0 7.784 * [backup-simplify]: Simplify (/ (* 1/2 (/ J (cos (/ 1/2 K)))) (* 2 (sqrt 0))) into (* +nan.0 (/ J (cos (/ 1/2 K)))) 7.785 * [backup-simplify]: Simplify (* (/ (cos (/ 1/2 K)) J) 0) into 0 7.785 * [backup-simplify]: Simplify (* -2 0) into 0 7.785 * [taylor]: Taking taylor expansion of 0 in J 7.785 * [backup-simplify]: Simplify 0 into 0 7.785 * [backup-simplify]: Simplify (+ 0) into 0 7.786 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 7.786 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 7.787 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.787 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 7.788 * [backup-simplify]: Simplify (- 0) into 0 7.788 * [backup-simplify]: Simplify (+ 0 0) into 0 7.788 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 7.789 * [backup-simplify]: Simplify (+ (* (/ (cos (/ 1/2 K)) J) (* +nan.0 (/ J (cos (/ 1/2 K))))) (* 0 0)) into (- +nan.0) 7.791 * [backup-simplify]: Simplify (+ (* -2 (- +nan.0)) (* 0 0)) into (- +nan.0) 7.791 * [taylor]: Taking taylor expansion of (- +nan.0) in J 7.791 * [taylor]: Taking taylor expansion of +nan.0 in J 7.791 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.791 * [taylor]: Taking taylor expansion of 0 in K 7.791 * [backup-simplify]: Simplify 0 into 0 7.791 * [backup-simplify]: Simplify 0 into 0 7.792 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 (/ J (cos (/ 1/2 K)))) 2) (+)) (* 2 0)) into (* +nan.0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 7.793 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.793 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.794 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.794 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.795 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.795 * [backup-simplify]: Simplify (- 0) into 0 7.796 * [backup-simplify]: Simplify (+ 0 0) into 0 7.796 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 7.797 * [backup-simplify]: Simplify (+ (* (/ (cos (/ 1/2 K)) J) (* +nan.0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (+ (* 0 (* +nan.0 (/ J (cos (/ 1/2 K))))) (* 0 0))) into (- (* +nan.0 (/ J (cos (/ 1/2 K))))) 7.798 * [backup-simplify]: Simplify (+ (* -2 (- (* +nan.0 (/ J (cos (/ 1/2 K)))))) (+ (* 0 (- +nan.0)) (* 0 0))) into (- (* +nan.0 (/ J (cos (/ 1/2 K))))) 7.798 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ J (cos (/ 1/2 K))))) in J 7.798 * [taylor]: Taking taylor expansion of (* +nan.0 (/ J (cos (/ 1/2 K)))) in J 7.798 * [taylor]: Taking taylor expansion of +nan.0 in J 7.798 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.798 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 7.798 * [taylor]: Taking taylor expansion of J in J 7.798 * [backup-simplify]: Simplify 0 into 0 7.798 * [backup-simplify]: Simplify 1 into 1 7.798 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 7.798 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 7.798 * [taylor]: Taking taylor expansion of 1/2 in J 7.798 * [backup-simplify]: Simplify 1/2 into 1/2 7.798 * [taylor]: Taking taylor expansion of K in J 7.798 * [backup-simplify]: Simplify K into K 7.798 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.798 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.798 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.799 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.799 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.799 * [backup-simplify]: Simplify (- 0) into 0 7.799 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.799 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 7.800 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.800 * [taylor]: Taking taylor expansion of (- +nan.0) in K 7.800 * [taylor]: Taking taylor expansion of +nan.0 in K 7.800 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.800 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.800 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.801 * [taylor]: Taking taylor expansion of 0 in K 7.801 * [backup-simplify]: Simplify 0 into 0 7.801 * [backup-simplify]: Simplify 0 into 0 7.801 * [backup-simplify]: Simplify 0 into 0 7.801 * [backup-simplify]: Simplify (* 1 1) into 1 7.802 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.803 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.803 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.804 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 7.805 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 7.805 * [backup-simplify]: Simplify (- 0) into 0 7.806 * [backup-simplify]: Simplify (+ 0 0) into 0 7.807 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 7.807 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 7.808 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 7.809 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.809 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.809 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.810 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 7.811 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 7.811 * [backup-simplify]: Simplify (- 0) into 0 7.811 * [backup-simplify]: Simplify (+ 0 0) into 0 7.812 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 7.812 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 7.813 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 7.813 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K))))))) into 0 7.813 * [backup-simplify]: Simplify (+ 1 0) into 1 7.814 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 7.814 * [backup-simplify]: Simplify (/ (- (/ (cos (/ 1/2 K)) J) (+ (* 2 (* (* +nan.0 (/ J (cos (/ 1/2 K)))) (* +nan.0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))))) (* 2 0)) into (* +nan.0 (- (/ (cos (/ 1/2 K)) J) (* +nan.0 (/ (pow J 3) (pow (cos (/ 1/2 K)) 3))))) 7.815 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.816 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.816 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.817 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 7.817 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 7.817 * [backup-simplify]: Simplify (- 0) into 0 7.817 * [backup-simplify]: Simplify (+ 0 0) into 0 7.818 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 7.818 * [backup-simplify]: Simplify (+ (* (/ (cos (/ 1/2 K)) J) (* +nan.0 (- (/ (cos (/ 1/2 K)) J) (* +nan.0 (/ (pow J 3) (pow (cos (/ 1/2 K)) 3)))))) (+ (* 0 (* +nan.0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (+ (* 0 (* +nan.0 (/ J (cos (/ 1/2 K))))) (* 0 0)))) into (- (+ (* +nan.0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (- (* +nan.0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) 7.820 * [backup-simplify]: Simplify (+ (* -2 (- (+ (* +nan.0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (- (* +nan.0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))))) (+ (* 0 (- (* +nan.0 (/ J (cos (/ 1/2 K)))))) (+ (* 0 (- +nan.0)) (* 0 0)))) into (- (+ (* +nan.0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (- (* +nan.0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) 7.820 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (- (* +nan.0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) in J 7.820 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (- (* +nan.0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) in J 7.820 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J 7.820 * [taylor]: Taking taylor expansion of +nan.0 in J 7.820 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.820 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J 7.820 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 7.820 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 7.820 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 7.820 * [taylor]: Taking taylor expansion of 1/2 in J 7.820 * [backup-simplify]: Simplify 1/2 into 1/2 7.820 * [taylor]: Taking taylor expansion of K in J 7.820 * [backup-simplify]: Simplify K into K 7.820 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.820 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.820 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.820 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.820 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.820 * [backup-simplify]: Simplify (- 0) into 0 7.820 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.820 * [taylor]: Taking taylor expansion of (pow J 2) in J 7.820 * [taylor]: Taking taylor expansion of J in J 7.820 * [backup-simplify]: Simplify 0 into 0 7.820 * [backup-simplify]: Simplify 1 into 1 7.821 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 7.821 * [backup-simplify]: Simplify (* 1 1) into 1 7.821 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 7.821 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 7.821 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 7.821 * [taylor]: Taking taylor expansion of +nan.0 in J 7.821 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.821 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 7.821 * [taylor]: Taking taylor expansion of (pow J 2) in J 7.821 * [taylor]: Taking taylor expansion of J in J 7.821 * [backup-simplify]: Simplify 0 into 0 7.821 * [backup-simplify]: Simplify 1 into 1 7.821 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 7.821 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 7.821 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 7.821 * [taylor]: Taking taylor expansion of 1/2 in J 7.821 * [backup-simplify]: Simplify 1/2 into 1/2 7.821 * [taylor]: Taking taylor expansion of K in J 7.821 * [backup-simplify]: Simplify K into K 7.821 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.821 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.821 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.821 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.821 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.822 * [backup-simplify]: Simplify (- 0) into 0 7.822 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.822 * [backup-simplify]: Simplify (* 1 1) into 1 7.822 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 7.822 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 7.823 * [backup-simplify]: Simplify (+ 0) into 0 7.823 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 7.823 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 7.823 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.824 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 7.824 * [backup-simplify]: Simplify (- 0) into 0 7.824 * [backup-simplify]: Simplify (+ 0 0) into 0 7.825 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 7.825 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.826 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 7.827 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 7.827 * [backup-simplify]: Simplify (+ 0 0) into 0 7.828 * [backup-simplify]: Simplify (- 0) into 0 7.828 * [taylor]: Taking taylor expansion of 0 in K 7.828 * [backup-simplify]: Simplify 0 into 0 7.828 * [backup-simplify]: Simplify 0 into 0 7.828 * [backup-simplify]: Simplify (- 0) into 0 7.828 * [taylor]: Taking taylor expansion of 0 in K 7.828 * [backup-simplify]: Simplify 0 into 0 7.828 * [backup-simplify]: Simplify 0 into 0 7.828 * [taylor]: Taking taylor expansion of 0 in K 7.828 * [backup-simplify]: Simplify 0 into 0 7.828 * [backup-simplify]: Simplify 0 into 0 7.829 * [backup-simplify]: Simplify (- 0) into 0 7.829 * [backup-simplify]: Simplify 0 into 0 7.829 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.830 * [backup-simplify]: Simplify (* (sqrt (hypot 1 (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) (* (cos (/ (/ 1 (- K)) 2)) (* -2 (/ 1 (- J))))) into (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))))) 7.830 * [approximate]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))))) in (U J K) around 0 7.830 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))))) in K 7.830 * [taylor]: Taking taylor expansion of 2 in K 7.830 * [backup-simplify]: Simplify 2 into 2 7.830 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) in K 7.830 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 7.830 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 7.830 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 7.830 * [taylor]: Taking taylor expansion of -1/2 in K 7.830 * [backup-simplify]: Simplify -1/2 into -1/2 7.830 * [taylor]: Taking taylor expansion of K in K 7.830 * [backup-simplify]: Simplify 0 into 0 7.830 * [backup-simplify]: Simplify 1 into 1 7.831 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.831 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.831 * [taylor]: Taking taylor expansion of J in K 7.831 * [backup-simplify]: Simplify J into J 7.831 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 7.831 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 7.831 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 7.831 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 7.831 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 7.831 * [taylor]: Taking taylor expansion of (* 1 1) in K 7.831 * [taylor]: Taking taylor expansion of 1 in K 7.831 * [backup-simplify]: Simplify 1 into 1 7.831 * [taylor]: Taking taylor expansion of 1 in K 7.831 * [backup-simplify]: Simplify 1 into 1 7.831 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 7.831 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 7.831 * [taylor]: Taking taylor expansion of 1/2 in K 7.831 * [backup-simplify]: Simplify 1/2 into 1/2 7.831 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 7.831 * [taylor]: Taking taylor expansion of J in K 7.831 * [backup-simplify]: Simplify J into J 7.831 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 7.831 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 7.832 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 7.832 * [taylor]: Taking taylor expansion of -1/2 in K 7.832 * [backup-simplify]: Simplify -1/2 into -1/2 7.832 * [taylor]: Taking taylor expansion of K in K 7.832 * [backup-simplify]: Simplify 0 into 0 7.832 * [backup-simplify]: Simplify 1 into 1 7.832 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.832 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.832 * [taylor]: Taking taylor expansion of U in K 7.832 * [backup-simplify]: Simplify U into U 7.832 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 7.833 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 7.833 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 7.833 * [taylor]: Taking taylor expansion of 1/2 in K 7.833 * [backup-simplify]: Simplify 1/2 into 1/2 7.833 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 7.833 * [taylor]: Taking taylor expansion of J in K 7.833 * [backup-simplify]: Simplify J into J 7.833 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 7.833 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 7.833 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 7.833 * [taylor]: Taking taylor expansion of -1/2 in K 7.833 * [backup-simplify]: Simplify -1/2 into -1/2 7.833 * [taylor]: Taking taylor expansion of K in K 7.833 * [backup-simplify]: Simplify 0 into 0 7.833 * [backup-simplify]: Simplify 1 into 1 7.833 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.833 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.834 * [taylor]: Taking taylor expansion of U in K 7.834 * [backup-simplify]: Simplify U into U 7.834 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 7.834 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 7.834 * [backup-simplify]: Simplify (* 1 1) into 1 7.834 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 7.835 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 7.835 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 7.835 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 7.835 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 7.836 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.836 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 7.836 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 7.837 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 7.837 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 7.837 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 7.838 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 7.838 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into 0 7.838 * [backup-simplify]: Simplify (+ 0 0) into 0 7.839 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 7.839 * [backup-simplify]: Simplify (sqrt (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) 7.840 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))))) into 0 7.840 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))))) in J 7.840 * [taylor]: Taking taylor expansion of 2 in J 7.840 * [backup-simplify]: Simplify 2 into 2 7.840 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) in J 7.840 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 7.840 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 7.840 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 7.840 * [taylor]: Taking taylor expansion of -1/2 in J 7.840 * [backup-simplify]: Simplify -1/2 into -1/2 7.840 * [taylor]: Taking taylor expansion of K in J 7.840 * [backup-simplify]: Simplify K into K 7.840 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.840 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.840 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.841 * [taylor]: Taking taylor expansion of J in J 7.841 * [backup-simplify]: Simplify 0 into 0 7.841 * [backup-simplify]: Simplify 1 into 1 7.841 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.841 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.841 * [backup-simplify]: Simplify (- 0) into 0 7.841 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.841 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.841 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 7.841 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 7.842 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 7.842 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 7.842 * [taylor]: Taking taylor expansion of (* 1 1) in J 7.842 * [taylor]: Taking taylor expansion of 1 in J 7.842 * [backup-simplify]: Simplify 1 into 1 7.842 * [taylor]: Taking taylor expansion of 1 in J 7.842 * [backup-simplify]: Simplify 1 into 1 7.842 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 7.842 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 7.842 * [taylor]: Taking taylor expansion of 1/2 in J 7.842 * [backup-simplify]: Simplify 1/2 into 1/2 7.842 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 7.842 * [taylor]: Taking taylor expansion of J in J 7.842 * [backup-simplify]: Simplify 0 into 0 7.842 * [backup-simplify]: Simplify 1 into 1 7.842 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 7.842 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 7.842 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 7.842 * [taylor]: Taking taylor expansion of -1/2 in J 7.842 * [backup-simplify]: Simplify -1/2 into -1/2 7.842 * [taylor]: Taking taylor expansion of K in J 7.842 * [backup-simplify]: Simplify K into K 7.842 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.842 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.842 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.842 * [taylor]: Taking taylor expansion of U in J 7.842 * [backup-simplify]: Simplify U into U 7.842 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.843 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.843 * [backup-simplify]: Simplify (- 0) into 0 7.843 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.843 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 7.843 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 7.843 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 7.843 * [taylor]: Taking taylor expansion of 1/2 in J 7.843 * [backup-simplify]: Simplify 1/2 into 1/2 7.843 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 7.843 * [taylor]: Taking taylor expansion of J in J 7.843 * [backup-simplify]: Simplify 0 into 0 7.843 * [backup-simplify]: Simplify 1 into 1 7.843 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 7.843 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 7.844 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 7.844 * [taylor]: Taking taylor expansion of -1/2 in J 7.844 * [backup-simplify]: Simplify -1/2 into -1/2 7.844 * [taylor]: Taking taylor expansion of K in J 7.844 * [backup-simplify]: Simplify K into K 7.844 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.844 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.844 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.844 * [taylor]: Taking taylor expansion of U in J 7.844 * [backup-simplify]: Simplify U into U 7.844 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.844 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.844 * [backup-simplify]: Simplify (- 0) into 0 7.845 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.845 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 7.845 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 7.845 * [backup-simplify]: Simplify (* 1 1) into 1 7.846 * [backup-simplify]: Simplify (+ 1 0) into 1 7.846 * [backup-simplify]: Simplify (sqrt 1) into 1 7.847 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.847 * [backup-simplify]: Simplify (+ 0 0) into 0 7.848 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.848 * [backup-simplify]: Simplify (sqrt 1) into 1 7.849 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.849 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))))) in U 7.849 * [taylor]: Taking taylor expansion of 2 in U 7.849 * [backup-simplify]: Simplify 2 into 2 7.849 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) in U 7.849 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 7.849 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 7.849 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 7.849 * [taylor]: Taking taylor expansion of -1/2 in U 7.849 * [backup-simplify]: Simplify -1/2 into -1/2 7.849 * [taylor]: Taking taylor expansion of K in U 7.849 * [backup-simplify]: Simplify K into K 7.849 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.849 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.849 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.849 * [taylor]: Taking taylor expansion of J in U 7.849 * [backup-simplify]: Simplify J into J 7.850 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.850 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.850 * [backup-simplify]: Simplify (- 0) into 0 7.850 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.850 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 7.850 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 7.850 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 7.850 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 7.850 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 7.850 * [taylor]: Taking taylor expansion of (* 1 1) in U 7.850 * [taylor]: Taking taylor expansion of 1 in U 7.850 * [backup-simplify]: Simplify 1 into 1 7.850 * [taylor]: Taking taylor expansion of 1 in U 7.851 * [backup-simplify]: Simplify 1 into 1 7.851 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 7.851 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 7.851 * [taylor]: Taking taylor expansion of 1/2 in U 7.851 * [backup-simplify]: Simplify 1/2 into 1/2 7.851 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 7.851 * [taylor]: Taking taylor expansion of J in U 7.851 * [backup-simplify]: Simplify J into J 7.851 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 7.851 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 7.851 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 7.851 * [taylor]: Taking taylor expansion of -1/2 in U 7.851 * [backup-simplify]: Simplify -1/2 into -1/2 7.851 * [taylor]: Taking taylor expansion of K in U 7.851 * [backup-simplify]: Simplify K into K 7.851 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.851 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.851 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.851 * [taylor]: Taking taylor expansion of U in U 7.851 * [backup-simplify]: Simplify 0 into 0 7.851 * [backup-simplify]: Simplify 1 into 1 7.851 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.851 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.853 * [backup-simplify]: Simplify (- 0) into 0 7.854 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.854 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 7.854 * [backup-simplify]: Simplify (+ 0) into 0 7.855 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 7.855 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 7.856 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.856 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 7.857 * [backup-simplify]: Simplify (- 0) into 0 7.857 * [backup-simplify]: Simplify (+ 0 0) into 0 7.858 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 7.858 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 7.858 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 7.858 * [taylor]: Taking taylor expansion of 1/2 in U 7.858 * [backup-simplify]: Simplify 1/2 into 1/2 7.858 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 7.858 * [taylor]: Taking taylor expansion of J in U 7.858 * [backup-simplify]: Simplify J into J 7.858 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 7.858 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 7.858 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 7.858 * [taylor]: Taking taylor expansion of -1/2 in U 7.858 * [backup-simplify]: Simplify -1/2 into -1/2 7.858 * [taylor]: Taking taylor expansion of K in U 7.858 * [backup-simplify]: Simplify K into K 7.858 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.859 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.859 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.859 * [taylor]: Taking taylor expansion of U in U 7.859 * [backup-simplify]: Simplify 0 into 0 7.859 * [backup-simplify]: Simplify 1 into 1 7.859 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.859 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.859 * [backup-simplify]: Simplify (- 0) into 0 7.860 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.860 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 7.860 * [backup-simplify]: Simplify (+ 0) into 0 7.860 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 7.861 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 7.861 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.862 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 7.862 * [backup-simplify]: Simplify (- 0) into 0 7.862 * [backup-simplify]: Simplify (+ 0 0) into 0 7.863 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 7.863 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 7.863 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 7.863 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 7.864 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 7.864 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 7.864 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 7.865 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.866 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.866 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.867 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.867 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.868 * [backup-simplify]: Simplify (- 0) into 0 7.868 * [backup-simplify]: Simplify (+ 0 0) into 0 7.869 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 7.869 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 7.870 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 7.871 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.871 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.872 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.873 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.873 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.873 * [backup-simplify]: Simplify (- 0) into 0 7.874 * [backup-simplify]: Simplify (+ 0 0) into 0 7.875 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 7.875 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 7.875 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 7.876 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 7.876 * [backup-simplify]: Simplify (+ 0 0) into 0 7.876 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 7.877 * [backup-simplify]: Simplify (sqrt 0) into 0 7.877 * [backup-simplify]: Simplify (/ (* 1/2 (/ J (cos (/ -1/2 K)))) (* 2 (sqrt 0))) into (* +nan.0 (/ J (cos (/ -1/2 K)))) 7.878 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))))) in U 7.878 * [taylor]: Taking taylor expansion of 2 in U 7.878 * [backup-simplify]: Simplify 2 into 2 7.878 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) in U 7.878 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 7.878 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 7.878 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 7.878 * [taylor]: Taking taylor expansion of -1/2 in U 7.878 * [backup-simplify]: Simplify -1/2 into -1/2 7.878 * [taylor]: Taking taylor expansion of K in U 7.878 * [backup-simplify]: Simplify K into K 7.878 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.878 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.878 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.878 * [taylor]: Taking taylor expansion of J in U 7.878 * [backup-simplify]: Simplify J into J 7.878 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.878 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.879 * [backup-simplify]: Simplify (- 0) into 0 7.879 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.879 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 7.879 * [taylor]: Taking taylor expansion of (sqrt (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 7.879 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 7.879 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 7.879 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 7.879 * [taylor]: Taking taylor expansion of (* 1 1) in U 7.879 * [taylor]: Taking taylor expansion of 1 in U 7.879 * [backup-simplify]: Simplify 1 into 1 7.879 * [taylor]: Taking taylor expansion of 1 in U 7.879 * [backup-simplify]: Simplify 1 into 1 7.879 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 7.879 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 7.879 * [taylor]: Taking taylor expansion of 1/2 in U 7.879 * [backup-simplify]: Simplify 1/2 into 1/2 7.879 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 7.879 * [taylor]: Taking taylor expansion of J in U 7.880 * [backup-simplify]: Simplify J into J 7.880 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 7.880 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 7.880 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 7.880 * [taylor]: Taking taylor expansion of -1/2 in U 7.880 * [backup-simplify]: Simplify -1/2 into -1/2 7.880 * [taylor]: Taking taylor expansion of K in U 7.880 * [backup-simplify]: Simplify K into K 7.880 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.880 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.880 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.880 * [taylor]: Taking taylor expansion of U in U 7.880 * [backup-simplify]: Simplify 0 into 0 7.880 * [backup-simplify]: Simplify 1 into 1 7.880 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.880 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.881 * [backup-simplify]: Simplify (- 0) into 0 7.881 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.881 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 7.881 * [backup-simplify]: Simplify (+ 0) into 0 7.882 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 7.882 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 7.883 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.883 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 7.884 * [backup-simplify]: Simplify (- 0) into 0 7.884 * [backup-simplify]: Simplify (+ 0 0) into 0 7.885 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 7.885 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 7.885 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 7.885 * [taylor]: Taking taylor expansion of 1/2 in U 7.885 * [backup-simplify]: Simplify 1/2 into 1/2 7.885 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 7.885 * [taylor]: Taking taylor expansion of J in U 7.885 * [backup-simplify]: Simplify J into J 7.885 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 7.885 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 7.885 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 7.885 * [taylor]: Taking taylor expansion of -1/2 in U 7.885 * [backup-simplify]: Simplify -1/2 into -1/2 7.885 * [taylor]: Taking taylor expansion of K in U 7.885 * [backup-simplify]: Simplify K into K 7.885 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.885 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.886 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.886 * [taylor]: Taking taylor expansion of U in U 7.886 * [backup-simplify]: Simplify 0 into 0 7.886 * [backup-simplify]: Simplify 1 into 1 7.886 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.886 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.886 * [backup-simplify]: Simplify (- 0) into 0 7.886 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.886 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 7.887 * [backup-simplify]: Simplify (+ 0) into 0 7.887 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 7.888 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 7.888 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.889 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 7.889 * [backup-simplify]: Simplify (- 0) into 0 7.890 * [backup-simplify]: Simplify (+ 0 0) into 0 7.890 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 7.890 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 7.890 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 7.890 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 7.891 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 7.891 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 7.891 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 7.892 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.893 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.893 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.894 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.895 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.895 * [backup-simplify]: Simplify (- 0) into 0 7.896 * [backup-simplify]: Simplify (+ 0 0) into 0 7.896 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 7.897 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 7.897 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 7.898 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.899 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.899 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.900 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.901 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.901 * [backup-simplify]: Simplify (- 0) into 0 7.901 * [backup-simplify]: Simplify (+ 0 0) into 0 7.902 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 7.902 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 7.903 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 7.903 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 7.904 * [backup-simplify]: Simplify (+ 0 0) into 0 7.904 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 7.904 * [backup-simplify]: Simplify (sqrt 0) into 0 7.905 * [backup-simplify]: Simplify (/ (* 1/2 (/ J (cos (/ -1/2 K)))) (* 2 (sqrt 0))) into (* +nan.0 (/ J (cos (/ -1/2 K)))) 7.905 * [backup-simplify]: Simplify (* (/ (cos (/ -1/2 K)) J) 0) into 0 7.905 * [backup-simplify]: Simplify (* 2 0) into 0 7.905 * [taylor]: Taking taylor expansion of 0 in J 7.905 * [backup-simplify]: Simplify 0 into 0 7.905 * [backup-simplify]: Simplify (+ 0) into 0 7.906 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 7.906 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 7.906 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.907 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 7.907 * [backup-simplify]: Simplify (- 0) into 0 7.907 * [backup-simplify]: Simplify (+ 0 0) into 0 7.907 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0 7.908 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) (* +nan.0 (/ J (cos (/ -1/2 K))))) (* 0 0)) into (- +nan.0) 7.909 * [backup-simplify]: Simplify (+ (* 2 (- +nan.0)) (* 0 0)) into (- +nan.0) 7.909 * [taylor]: Taking taylor expansion of (- +nan.0) in J 7.909 * [taylor]: Taking taylor expansion of +nan.0 in J 7.909 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.909 * [taylor]: Taking taylor expansion of 0 in K 7.909 * [backup-simplify]: Simplify 0 into 0 7.909 * [backup-simplify]: Simplify 0 into 0 7.910 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 (/ J (cos (/ -1/2 K)))) 2) (+)) (* 2 0)) into (* +nan.0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 7.910 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.911 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.911 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.911 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.912 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.912 * [backup-simplify]: Simplify (- 0) into 0 7.912 * [backup-simplify]: Simplify (+ 0 0) into 0 7.912 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 7.913 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) (* +nan.0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (+ (* 0 (* +nan.0 (/ J (cos (/ -1/2 K))))) (* 0 0))) into (- (* +nan.0 (/ J (cos (/ -1/2 K))))) 7.914 * [backup-simplify]: Simplify (+ (* 2 (- (* +nan.0 (/ J (cos (/ -1/2 K)))))) (+ (* 0 (- +nan.0)) (* 0 0))) into (- (* +nan.0 (/ J (cos (/ -1/2 K))))) 7.914 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ J (cos (/ -1/2 K))))) in J 7.914 * [taylor]: Taking taylor expansion of (* +nan.0 (/ J (cos (/ -1/2 K)))) in J 7.914 * [taylor]: Taking taylor expansion of +nan.0 in J 7.914 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.914 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 7.914 * [taylor]: Taking taylor expansion of J in J 7.914 * [backup-simplify]: Simplify 0 into 0 7.914 * [backup-simplify]: Simplify 1 into 1 7.914 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 7.914 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 7.914 * [taylor]: Taking taylor expansion of -1/2 in J 7.914 * [backup-simplify]: Simplify -1/2 into -1/2 7.914 * [taylor]: Taking taylor expansion of K in J 7.914 * [backup-simplify]: Simplify K into K 7.914 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.914 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.914 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.914 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.914 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.914 * [backup-simplify]: Simplify (- 0) into 0 7.914 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.914 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 7.915 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.915 * [taylor]: Taking taylor expansion of (- +nan.0) in K 7.915 * [taylor]: Taking taylor expansion of +nan.0 in K 7.915 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.915 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.915 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.915 * [taylor]: Taking taylor expansion of 0 in K 7.915 * [backup-simplify]: Simplify 0 into 0 7.915 * [backup-simplify]: Simplify 0 into 0 7.915 * [backup-simplify]: Simplify 0 into 0 7.916 * [backup-simplify]: Simplify (* 1 1) into 1 7.916 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.917 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.917 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.918 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 7.918 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 7.918 * [backup-simplify]: Simplify (- 0) into 0 7.919 * [backup-simplify]: Simplify (+ 0 0) into 0 7.919 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.919 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 7.920 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 7.921 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.921 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.921 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.922 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 7.923 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 7.923 * [backup-simplify]: Simplify (- 0) into 0 7.923 * [backup-simplify]: Simplify (+ 0 0) into 0 7.923 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.924 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 7.924 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 7.925 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into 0 7.925 * [backup-simplify]: Simplify (+ 1 0) into 1 7.925 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 7.926 * [backup-simplify]: Simplify (/ (- (/ (cos (/ -1/2 K)) J) (+ (* 2 (* (* +nan.0 (/ J (cos (/ -1/2 K)))) (* +nan.0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))))) (* 2 0)) into (* +nan.0 (- (/ (cos (/ -1/2 K)) J) (* +nan.0 (/ (pow J 3) (pow (cos (/ -1/2 K)) 3))))) 7.927 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.927 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.927 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.928 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 7.929 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 7.929 * [backup-simplify]: Simplify (- 0) into 0 7.929 * [backup-simplify]: Simplify (+ 0 0) into 0 7.929 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 7.930 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) (* +nan.0 (- (/ (cos (/ -1/2 K)) J) (* +nan.0 (/ (pow J 3) (pow (cos (/ -1/2 K)) 3)))))) (+ (* 0 (* +nan.0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (+ (* 0 (* +nan.0 (/ J (cos (/ -1/2 K))))) (* 0 0)))) into (- (+ (* +nan.0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (- (* +nan.0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) 7.931 * [backup-simplify]: Simplify (+ (* 2 (- (+ (* +nan.0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (- (* +nan.0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))))) (+ (* 0 (- (* +nan.0 (/ J (cos (/ -1/2 K)))))) (+ (* 0 (- +nan.0)) (* 0 0)))) into (- (+ (* +nan.0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (- (* +nan.0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) 7.931 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (- (* +nan.0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) in J 7.931 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (- (* +nan.0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) in J 7.931 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J 7.931 * [taylor]: Taking taylor expansion of +nan.0 in J 7.931 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.931 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J 7.931 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 7.931 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 7.931 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 7.931 * [taylor]: Taking taylor expansion of -1/2 in J 7.931 * [backup-simplify]: Simplify -1/2 into -1/2 7.931 * [taylor]: Taking taylor expansion of K in J 7.931 * [backup-simplify]: Simplify K into K 7.932 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.932 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.932 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.932 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.932 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.932 * [backup-simplify]: Simplify (- 0) into 0 7.932 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.932 * [taylor]: Taking taylor expansion of (pow J 2) in J 7.932 * [taylor]: Taking taylor expansion of J in J 7.932 * [backup-simplify]: Simplify 0 into 0 7.932 * [backup-simplify]: Simplify 1 into 1 7.932 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 7.932 * [backup-simplify]: Simplify (* 1 1) into 1 7.933 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 7.933 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 7.933 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 7.933 * [taylor]: Taking taylor expansion of +nan.0 in J 7.933 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.933 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 7.933 * [taylor]: Taking taylor expansion of (pow J 2) in J 7.933 * [taylor]: Taking taylor expansion of J in J 7.933 * [backup-simplify]: Simplify 0 into 0 7.933 * [backup-simplify]: Simplify 1 into 1 7.933 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 7.933 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 7.933 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 7.933 * [taylor]: Taking taylor expansion of -1/2 in J 7.933 * [backup-simplify]: Simplify -1/2 into -1/2 7.933 * [taylor]: Taking taylor expansion of K in J 7.933 * [backup-simplify]: Simplify K into K 7.933 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.933 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.933 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.933 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.933 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.933 * [backup-simplify]: Simplify (- 0) into 0 7.933 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.934 * [backup-simplify]: Simplify (* 1 1) into 1 7.934 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 7.934 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 7.934 * [backup-simplify]: Simplify (+ 0) into 0 7.934 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 7.934 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 7.935 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.935 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 7.936 * [backup-simplify]: Simplify (- 0) into 0 7.936 * [backup-simplify]: Simplify (+ 0 0) into 0 7.936 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 7.936 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.937 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 7.937 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 7.937 * [backup-simplify]: Simplify (+ 0 0) into 0 7.938 * [backup-simplify]: Simplify (- 0) into 0 7.938 * [taylor]: Taking taylor expansion of 0 in K 7.938 * [backup-simplify]: Simplify 0 into 0 7.938 * [backup-simplify]: Simplify 0 into 0 7.938 * [backup-simplify]: Simplify (- 0) into 0 7.938 * [taylor]: Taking taylor expansion of 0 in K 7.938 * [backup-simplify]: Simplify 0 into 0 7.938 * [backup-simplify]: Simplify 0 into 0 7.938 * [taylor]: Taking taylor expansion of 0 in K 7.938 * [backup-simplify]: Simplify 0 into 0 7.938 * [backup-simplify]: Simplify 0 into 0 7.939 * [backup-simplify]: Simplify (- 0) into 0 7.939 * [backup-simplify]: Simplify 0 into 0 7.939 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.939 * * * [progress]: simplifying candidates 7.939 * * * * [progress]: [ 1 / 101 ] simplifiying candidate # 7.939 * * * * [progress]: [ 2 / 101 ] simplifiying candidate # 7.939 * * * * [progress]: [ 3 / 101 ] simplifiying candidate # 7.939 * * * * [progress]: [ 4 / 101 ] simplifiying candidate # 7.939 * * * * [progress]: [ 5 / 101 ] simplifiying candidate # 7.939 * * * * [progress]: [ 6 / 101 ] simplifiying candidate # 7.939 * * * * [progress]: [ 7 / 101 ] simplifiying candidate # 7.939 * * * * [progress]: [ 8 / 101 ] simplifiying candidate # 7.939 * * * * [progress]: [ 9 / 101 ] simplifiying candidate # 7.939 * * * * [progress]: [ 10 / 101 ] simplifiying candidate # 7.940 * * * * [progress]: [ 11 / 101 ] simplifiying candidate # 7.940 * * * * [progress]: [ 12 / 101 ] simplifiying candidate # 7.940 * * * * [progress]: [ 13 / 101 ] simplifiying candidate # 7.940 * * * * [progress]: [ 14 / 101 ] simplifiying candidate # 7.940 * * * * [progress]: [ 15 / 101 ] simplifiying candidate # 7.940 * * * * [progress]: [ 16 / 101 ] simplifiying candidate #real (real->posit16 (sqrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2)))))))) (* (cos (/ K 2)) (* -2 J)))))> 7.940 * * * * [progress]: [ 17 / 101 ] simplifiying candidate # 7.940 * * * * [progress]: [ 18 / 101 ] simplifiying candidate # 7.940 * * * * [progress]: [ 19 / 101 ] simplifiying candidate # 7.940 * * * * [progress]: [ 20 / 101 ] simplifiying candidate # 7.940 * * * * [progress]: [ 21 / 101 ] simplifiying candidate # 7.940 * * * * [progress]: [ 22 / 101 ] simplifiying candidate # 7.940 * * * * [progress]: [ 23 / 101 ] simplifiying candidate # 7.940 * * * * [progress]: [ 24 / 101 ] simplifiying candidate # 7.940 * * * * [progress]: [ 25 / 101 ] simplifiying candidate # 7.940 * * * * [progress]: [ 26 / 101 ] simplifiying candidate # 7.940 * * * * [progress]: [ 27 / 101 ] simplifiying candidate # 7.940 * * * * [progress]: [ 28 / 101 ] simplifiying candidate # 7.940 * * * * [progress]: [ 29 / 101 ] simplifiying candidate # 7.940 * * * * [progress]: [ 30 / 101 ] simplifiying candidate # 7.940 * * * * [progress]: [ 31 / 101 ] simplifiying candidate # 7.940 * * * * [progress]: [ 32 / 101 ] simplifiying candidate #real (real->posit16 (sqrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2)))))))) (* (sqrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2)))))) (* (cos (/ K 2)) (* -2 J)))))> 7.940 * * * * [progress]: [ 33 / 101 ] simplifiying candidate # 7.940 * * * * [progress]: [ 34 / 101 ] simplifiying candidate # 7.941 * * * * [progress]: [ 35 / 101 ] simplifiying candidate # 7.941 * * * * [progress]: [ 36 / 101 ] simplifiying candidate # 7.941 * * * * [progress]: [ 37 / 101 ] simplifiying candidate # 7.941 * * * * [progress]: [ 38 / 101 ] simplifiying candidate # 7.941 * * * * [progress]: [ 39 / 101 ] simplifiying candidate # 7.941 * * * * [progress]: [ 40 / 101 ] simplifiying candidate # 7.941 * * * * [progress]: [ 41 / 101 ] simplifiying candidate # 7.941 * * * * [progress]: [ 42 / 101 ] simplifiying candidate # 7.941 * * * * [progress]: [ 43 / 101 ] simplifiying candidate # 7.941 * * * * [progress]: [ 44 / 101 ] simplifiying candidate # 7.941 * * * * [progress]: [ 45 / 101 ] simplifiying candidate # 7.941 * * * * [progress]: [ 46 / 101 ] simplifiying candidate # 7.941 * * * * [progress]: [ 47 / 101 ] simplifiying candidate # 7.941 * * * * [progress]: [ 48 / 101 ] simplifiying candidate # 7.941 * * * * [progress]: [ 49 / 101 ] simplifiying candidate # 7.941 * * * * [progress]: [ 50 / 101 ] simplifiying candidate # 7.941 * * * * [progress]: [ 51 / 101 ] simplifiying candidate # 7.941 * * * * [progress]: [ 52 / 101 ] simplifiying candidate # 7.941 * * * * [progress]: [ 53 / 101 ] simplifiying candidate # 7.941 * * * * [progress]: [ 54 / 101 ] simplifiying candidate # 7.941 * * * * [progress]: [ 55 / 101 ] simplifiying candidate # 7.941 * * * * [progress]: [ 56 / 101 ] simplifiying candidate # 7.942 * * * * [progress]: [ 57 / 101 ] simplifiying candidate # 7.942 * * * * [progress]: [ 58 / 101 ] simplifiying candidate # 7.942 * * * * [progress]: [ 59 / 101 ] simplifiying candidate # 7.942 * * * * [progress]: [ 60 / 101 ] simplifiying candidate # 7.942 * * * * [progress]: [ 61 / 101 ] simplifiying candidate #real (real->posit16 (* (sqrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2)))))) (* (sqrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2)))))) (* (cos (/ K 2)) (* -2 J)))))))> 7.942 * * * * [progress]: [ 62 / 101 ] simplifiying candidate # 7.942 * * * * [progress]: [ 63 / 101 ] simplifiying candidate # 7.942 * * * * [progress]: [ 64 / 101 ] simplifiying candidate # 7.942 * * * * [progress]: [ 65 / 101 ] simplifiying candidate # 7.942 * * * * [progress]: [ 66 / 101 ] simplifiying candidate # 7.942 * * * * [progress]: [ 67 / 101 ] simplifiying candidate # 7.942 * * * * [progress]: [ 68 / 101 ] simplifiying candidate # 7.942 * * * * [progress]: [ 69 / 101 ] simplifiying candidate # 7.942 * * * * [progress]: [ 70 / 101 ] simplifiying candidate # 7.942 * * * * [progress]: [ 71 / 101 ] simplifiying candidate # 7.942 * * * * [progress]: [ 72 / 101 ] simplifiying candidate # 7.942 * * * * [progress]: [ 73 / 101 ] simplifiying candidate # 7.942 * * * * [progress]: [ 74 / 101 ] simplifiying candidate # 7.942 * * * * [progress]: [ 75 / 101 ] simplifiying candidate # 7.942 * * * * [progress]: [ 76 / 101 ] simplifiying candidate # 7.942 * * * * [progress]: [ 77 / 101 ] simplifiying candidate # 7.942 * * * * [progress]: [ 78 / 101 ] simplifiying candidate # 7.942 * * * * [progress]: [ 79 / 101 ] simplifiying candidate # 7.943 * * * * [progress]: [ 80 / 101 ] simplifiying candidate # 7.943 * * * * [progress]: [ 81 / 101 ] simplifiying candidate # 7.943 * * * * [progress]: [ 82 / 101 ] simplifiying candidate # 7.943 * * * * [progress]: [ 83 / 101 ] simplifiying candidate # 7.943 * * * * [progress]: [ 84 / 101 ] simplifiying candidate # 7.943 * * * * [progress]: [ 85 / 101 ] simplifiying candidate # 7.943 * * * * [progress]: [ 86 / 101 ] simplifiying candidate # 7.943 * * * * [progress]: [ 87 / 101 ] simplifiying candidate # 7.943 * * * * [progress]: [ 88 / 101 ] simplifiying candidate #real (real->posit16 (* (sqrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2)))))) (* (cos (/ K 2)) (* -2 J)))))))> 7.943 * * * * [progress]: [ 89 / 101 ] simplifiying candidate # 7.943 * * * * [progress]: [ 90 / 101 ] simplifiying candidate # 7.943 * * * * [progress]: [ 91 / 101 ] simplifiying candidate # 7.943 * * * * [progress]: [ 92 / 101 ] simplifiying candidate # 7.943 * * * * [progress]: [ 93 / 101 ] simplifiying candidate # 7.943 * * * * [progress]: [ 94 / 101 ] simplifiying candidate # 7.943 * * * * [progress]: [ 95 / 101 ] simplifiying candidate # 7.943 * * * * [progress]: [ 96 / 101 ] simplifiying candidate # 7.943 * * * * [progress]: [ 97 / 101 ] simplifiying candidate # 7.943 * * * * [progress]: [ 98 / 101 ] simplifiying candidate # 7.943 * * * * [progress]: [ 99 / 101 ] simplifiying candidate # 7.943 * * * * [progress]: [ 100 / 101 ] simplifiying candidate # 7.943 * * * * [progress]: [ 101 / 101 ] simplifiying candidate # 7.944 * [simplify]: Simplifying: (expm1 (sqrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))))) (log1p (sqrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))))) (log (sqrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))))) (exp (sqrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))))) (* (cbrt (sqrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))))) (cbrt (sqrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2)))))))) (cbrt (sqrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))))) (* (* (sqrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2)))))) (sqrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))))) (sqrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))))) (sqrt (* (cbrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2)))))) (cbrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2)))))))) (sqrt (cbrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))))) (sqrt (sqrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))))) (sqrt (sqrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))))) (sqrt 1) (sqrt (hypot 1 (/ U (* (* 2 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2)))))) (* (cos (/ K 2)) (* -2 J)))) (sqrt (* (sqrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2)))))) (* (cos (/ K 2)) (* -2 J)))) (* (sqrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2)))))) (cos (/ K 2))) (* (cbrt (sqrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (* (sqrt (cbrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (* (sqrt (sqrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (* (sqrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2)))))) (* (cos (/ K 2)) (* -2 J))) (* (sqrt (sqrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))))) (* (cos (/ K 2)) (* -2 J))) (* (sqrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2)))))) (* (cos (/ K 2)) (* -2 J))) (real->posit16 (* (sqrt (hypot 1 (/ U (* (* 2 J) (cos (/ K 2)))))) (* (cos (/ K 2)) (* -2 J)))) 1 (/ +nan.0 (* (cos (* 1/2 K)) J)) (/ +nan.0 (* (cos (* 1/2 K)) J)) 1 (/ +nan.0 (* (cos (* 1/2 K)) J)) (/ +nan.0 (* (cos (* 1/2 K)) J)) (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) (* -1 U) (* -1 U) (- (+ (* 2 J) (* 1/8 (/ (pow U 2) J)))) (- +nan.0) (- +nan.0) 7.946 * * [simplify]: iteration 0: 114 enodes 7.986 * * [simplify]: iteration 1: 270 enodes 8.105 * * [simplify]: iteration 2: 940 enodes 8.447 * * [simplify]: iteration 3: 2115 enodes 8.940 * * [simplify]: iteration complete: 2115 enodes 8.940 * * [simplify]: Extracting #0: cost 47 inf + 0 8.942 * * [simplify]: Extracting #1: cost 542 inf + 2 8.946 * * [simplify]: Extracting #2: cost 769 inf + 321 8.953 * * [simplify]: Extracting #3: cost 742 inf + 8471 8.961 * * [simplify]: Extracting #4: cost 696 inf + 14016 8.973 * * [simplify]: Extracting #5: cost 592 inf + 37328 8.990 * * [simplify]: Extracting #6: cost 461 inf + 89018 9.052 * * [simplify]: Extracting #7: cost 130 inf + 259439 9.164 * * [simplify]: Extracting #8: cost 3 inf + 331551 9.289 * * [simplify]: Extracting #9: cost 0 inf + 333266 9.381 * * [simplify]: Extracting #10: cost 0 inf + 333265 9.469 * [simplify]: Simplified to: (expm1 (sqrt (hypot 1 (/ U (* (cos (* K 1/2)) (* 2 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(cos (* K 1/2))) (* (- (* (hypot 1 (/ U (* (cos (* K 1/2)) (* 2 J)))) (* 2 J))) (cos (* K 1/2)))) (* (- (* (hypot 1 (/ U (* (cos (* K 1/2)) (* 2 J)))) (* 2 J))) (cos (* K 1/2)))) (* (* (* (- (* (hypot 1 (/ U (* (cos (* K 1/2)) (* 2 J)))) (* 2 J))) (cos (* K 1/2))) (* (- (* (hypot 1 (/ U (* (cos (* K 1/2)) (* 2 J)))) (* 2 J))) (cos (* K 1/2)))) (* (- (* (hypot 1 (/ U (* (cos (* K 1/2)) (* 2 J)))) (* 2 J))) (cos (* K 1/2)))) (* (* (* (- (* (hypot 1 (/ U (* (cos (* K 1/2)) (* 2 J)))) (* 2 J))) (cos (* K 1/2))) (* (- (* (hypot 1 (/ U (* (cos (* K 1/2)) (* 2 J)))) (* 2 J))) (cos (* K 1/2)))) (* (- (* (hypot 1 (/ U (* (cos (* K 1/2)) (* 2 J)))) (* 2 J))) (cos (* K 1/2)))) (* (* (* (- (* (hypot 1 (/ U (* (cos (* K 1/2)) (* 2 J)))) (* 2 J))) (cos (* K 1/2))) (* (- (* (hypot 1 (/ U (* (cos (* K 1/2)) (* 2 J)))) (* 2 J))) (cos (* K 1/2)))) (* (- (* (hypot 1 (/ U (* (cos (* K 1/2)) (* 2 J)))) (* 2 J))) (cos (* K 1/2)))) (* (cbrt (* (- (* (hypot 1 (/ U (* (cos (* K 1/2)) (* 2 J)))) (* 2 J))) (cos (* K 1/2)))) (cbrt (* (- (* (hypot 1 (/ U (* (cos (* K 1/2)) (* 2 J)))) (* 2 J))) (cos (* K 1/2))))) (cbrt (* (- (* (hypot 1 (/ U (* (cos (* K 1/2)) (* 2 J)))) (* 2 J))) (cos (* K 1/2)))) (* (* (* (- (* (hypot 1 (/ U (* (cos (* K 1/2)) (* 2 J)))) (* 2 J))) (cos (* K 1/2))) (* (- (* (hypot 1 (/ U (* (cos (* K 1/2)) (* 2 J)))) (* 2 J))) (cos (* K 1/2)))) (* (- (* (hypot 1 (/ U (* (cos (* K 1/2)) (* 2 J)))) (* 2 J))) (cos (* K 1/2)))) (sqrt (* (- (* (hypot 1 (/ U (* (cos (* K 1/2)) (* 2 J)))) (* 2 J))) (cos (* K 1/2)))) (sqrt (* (- (* (hypot 1 (/ U (* (cos (* K 1/2)) (* 2 J)))) (* 2 J))) (cos (* K 1/2)))) (hypot 1 (/ U (* (cos (* K 1/2)) (* 2 J)))) (- (* (* (* (sqrt (hypot 1 (/ U (* (cos (* K 1/2)) (* 2 J))))) (cbrt (sqrt (hypot 1 (/ U (* (cos (* K 1/2)) (* 2 J))))))) (cos (* K 1/2))) (* 2 J))) (- (* (* (sqrt (cbrt (hypot 1 (/ U (* (cos (* K 1/2)) (* 2 J)))))) (* (sqrt (hypot 1 (/ U (* (cos (* K 1/2)) (* 2 J))))) (cos (* K 1/2)))) (* 2 J))) (* (- (* (* 2 J) (* (sqrt (sqrt (hypot 1 (/ U (* (cos (* K 1/2)) (* 2 J)))))) (cos (* K 1/2))))) (sqrt (hypot 1 (/ U (* (cos (* K 1/2)) (* 2 J)))))) (* (- (* (hypot 1 (/ U (* (cos (* K 1/2)) (* 2 J)))) (* 2 J))) (cos (* K 1/2))) (* (- (* (* 2 J) (* (sqrt (sqrt (hypot 1 (/ U (* (cos (* K 1/2)) (* 2 J)))))) (cos (* K 1/2))))) (sqrt (hypot 1 (/ U (* (cos (* K 1/2)) (* 2 J)))))) (* (- (* (hypot 1 (/ U (* (cos (* K 1/2)) (* 2 J)))) (* 2 J))) (cos (* K 1/2))) (real->posit16 (* (- (* (hypot 1 (/ U (* (cos (* K 1/2)) (* 2 J)))) (* 2 J))) (cos (* K 1/2)))) (expm1 (- (* (* 2 J) (* (sqrt (hypot 1 (/ U (* (cos (* K 1/2)) (* 2 J))))) (cos (* K 1/2)))))) (log1p (- (* (* 2 J) (* (sqrt (hypot 1 (/ U (* (cos (* K 1/2)) (* 2 J))))) (cos (* K 1/2)))))) (- (* (* 2 J) (* (sqrt (hypot 1 (/ U (* (cos (* K 1/2)) (* 2 J))))) (cos (* K 1/2))))) (- (* (* 2 J) (* (sqrt (hypot 1 (/ U (* (cos (* K 1/2)) (* 2 J))))) (cos (* K 1/2))))) (- (* (* 2 J) (* (sqrt (hypot 1 (/ U (* (cos (* K 1/2)) (* 2 J))))) (cos (* K 1/2))))) (log (- (* (* 2 J) (* (sqrt (hypot 1 (/ U (* (cos (* K 1/2)) (* 2 J))))) (cos (* K 1/2)))))) (log (- (* (* 2 J) (* (sqrt (hypot 1 (/ U (* (cos (* K 1/2)) (* 2 J))))) (cos (* K 1/2)))))) (log (- (* (* 2 J) (* (sqrt (hypot 1 (/ U (* (cos (* K 1/2)) (* 2 J))))) (cos (* K 1/2)))))) (log (- (* (* 2 J) (* (sqrt (hypot 1 (/ U (* (cos (* K 1/2)) (* 2 J))))) (cos (* K 1/2)))))) (exp (- (* (* 2 J) (* (sqrt (hypot 1 (/ U (* (cos (* K 1/2)) (* 2 J))))) (cos (* K 1/2)))))) (* (* (* (* (cos (* K 1/2)) (* J -2)) (hypot 1 (/ U (* (cos (* K 1/2)) (* 2 J))))) (* (cos (* K 1/2)) (* J -2))) (* (sqrt (hypot 1 (/ U (* (cos (* K 1/2)) (* 2 J))))) (* (cos (* K 1/2)) (* J -2)))) (* (* (* (* (cos (* K 1/2)) (* J -2)) (hypot 1 (/ U (* (cos (* K 1/2)) (* 2 J))))) (* (cos (* K 1/2)) (* J -2))) (* (sqrt (hypot 1 (/ U (* (cos (* K 1/2)) (* 2 J))))) (* (cos (* K 1/2)) (* J -2)))) (* (* (* (* (cos (* K 1/2)) (* J -2)) (hypot 1 (/ U (* (cos (* K 1/2)) (* 2 J))))) (* (cos (* K 1/2)) (* J -2))) (* (sqrt (hypot 1 (/ U (* (cos (* K 1/2)) (* 2 J))))) (* (cos (* K 1/2)) (* J -2)))) (* (cbrt (- (* (* 2 J) (* (sqrt (hypot 1 (/ U (* (cos (* K 1/2)) (* 2 J))))) (cos (* K 1/2)))))) (cbrt (- (* (* 2 J) (* (sqrt (hypot 1 (/ U (* (cos (* K 1/2)) (* 2 J))))) (cos (* K 1/2))))))) (cbrt (- (* (* 2 J) (* (sqrt (hypot 1 (/ U (* (cos (* K 1/2)) (* 2 J))))) (cos (* K 1/2)))))) (* (* (* (* (cos (* K 1/2)) (* J -2)) (hypot 1 (/ U (* (cos (* K 1/2)) (* 2 J))))) (* (cos (* K 1/2)) (* J -2))) (* (sqrt (hypot 1 (/ U (* (cos (* K 1/2)) (* 2 J))))) (* (cos (* K 1/2)) (* J -2)))) (sqrt (- (* (* 2 J) (* (sqrt (hypot 1 (/ U (* (cos (* K 1/2)) (* 2 J))))) (cos (* K 1/2)))))) (sqrt (- (* (* 2 J) (* (sqrt (hypot 1 (/ U (* (cos (* K 1/2)) (* 2 J))))) (cos (* K 1/2)))))) (* (sqrt (hypot 1 (/ U (* (cos (* K 1/2)) (* 2 J))))) (cos (* K 1/2))) (- (* (* (cos (* K 1/2)) (cbrt (sqrt (hypot 1 (/ U (* (cos (* K 1/2)) (* 2 J))))))) (* 2 J))) (* (cos (* K 1/2)) (- (* (* 2 J) (sqrt (cbrt (hypot 1 (/ U (* (cos (* K 1/2)) (* 2 J))))))))) (- (* (* 2 J) (* (sqrt (sqrt (hypot 1 (/ U (* (cos (* K 1/2)) (* 2 J)))))) (cos (* K 1/2))))) (- (* (* 2 J) (* (sqrt (hypot 1 (/ U (* (cos (* K 1/2)) (* 2 J))))) (cos (* K 1/2))))) (- (* (* 2 J) (* (sqrt (sqrt (hypot 1 (/ U (* (cos (* K 1/2)) (* 2 J)))))) (cos (* K 1/2))))) (- (* (* 2 J) (* (sqrt (hypot 1 (/ U (* (cos (* K 1/2)) (* 2 J))))) (cos (* K 1/2))))) (real->posit16 (- (* (* 2 J) (* (sqrt (hypot 1 (/ U (* (cos (* K 1/2)) (* 2 J))))) (cos (* K 1/2)))))) 1 (/ +nan.0 (* J (cos (* K 1/2)))) (/ +nan.0 (* J (cos (* K 1/2)))) 1 (/ +nan.0 (* J (cos (* K 1/2)))) (/ +nan.0 (* J (cos (* K 1/2)))) (fma -2 J (/ (* (* U U) -1/4) J)) (- U) (- U) (fma J -2 (* (/ (* U U) J) -1/8)) (- +nan.0) (- +nan.0) 9.480 * * * [progress]: adding candidates to table 9.996 * * [progress]: iteration 4 / 4 9.996 * * * [progress]: picking best candidate 10.019 * * * * [pick]: Picked # 10.019 * * * [progress]: localizing error 10.056 * * * [progress]: generating rewritten candidates 10.056 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 10.175 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 10.191 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 10.255 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2) 10.278 * * * [progress]: generating series expansions 10.279 * * * * [progress]: [ 1 / 4 ] generating series at (2) 10.279 * [backup-simplify]: Simplify (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J)))) into (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) 10.279 * [approximate]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in (U J K) around 0 10.279 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in K 10.279 * [taylor]: Taking taylor expansion of -2 in K 10.279 * [backup-simplify]: Simplify -2 into -2 10.279 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in K 10.279 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 10.279 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 10.279 * [taylor]: Taking taylor expansion of 1/2 in K 10.279 * [backup-simplify]: Simplify 1/2 into 1/2 10.279 * [taylor]: Taking taylor expansion of K in K 10.279 * [backup-simplify]: Simplify 0 into 0 10.279 * [backup-simplify]: Simplify 1 into 1 10.280 * [backup-simplify]: Simplify (* 1/2 0) into 0 10.281 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 10.281 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in K 10.281 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 10.281 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 10.281 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in K 10.281 * [taylor]: Taking taylor expansion of (* 1 1) in K 10.281 * [taylor]: Taking taylor expansion of 1 in K 10.281 * [backup-simplify]: Simplify 1 into 1 10.281 * [taylor]: Taking taylor expansion of 1 in K 10.281 * [backup-simplify]: Simplify 1 into 1 10.281 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in K 10.281 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 10.281 * [taylor]: Taking taylor expansion of 1/2 in K 10.281 * [backup-simplify]: Simplify 1/2 into 1/2 10.281 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 10.282 * [taylor]: Taking taylor expansion of U in K 10.282 * [backup-simplify]: Simplify U into U 10.282 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 10.282 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 10.282 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 10.282 * [taylor]: Taking taylor expansion of 1/2 in K 10.282 * [backup-simplify]: Simplify 1/2 into 1/2 10.282 * [taylor]: Taking taylor expansion of K in K 10.282 * [backup-simplify]: Simplify 0 into 0 10.282 * [backup-simplify]: Simplify 1 into 1 10.282 * [backup-simplify]: Simplify (* 1/2 0) into 0 10.283 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 10.283 * [taylor]: Taking taylor expansion of J in K 10.283 * [backup-simplify]: Simplify J into J 10.283 * [backup-simplify]: Simplify (* 1 J) into J 10.283 * [backup-simplify]: Simplify (/ U J) into (/ U J) 10.283 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 10.283 * [taylor]: Taking taylor expansion of 1/2 in K 10.283 * [backup-simplify]: Simplify 1/2 into 1/2 10.283 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 10.283 * [taylor]: Taking taylor expansion of U in K 10.283 * [backup-simplify]: Simplify U into U 10.283 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 10.283 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 10.283 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 10.283 * [taylor]: Taking taylor expansion of 1/2 in K 10.283 * [backup-simplify]: Simplify 1/2 into 1/2 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 (* 1/2 0) into 0 10.285 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 10.285 * [taylor]: Taking taylor expansion of J in K 10.285 * [backup-simplify]: Simplify J into J 10.285 * [backup-simplify]: Simplify (* 1 J) into J 10.285 * [backup-simplify]: Simplify (/ U J) into (/ U J) 10.285 * [backup-simplify]: Simplify (* 1 1) into 1 10.285 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 10.285 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J)) 10.286 * [backup-simplify]: Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2))) 10.286 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 10.286 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 10.287 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.287 * [backup-simplify]: Simplify (+ 0) into 0 10.288 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 10.288 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 10.288 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 10.289 * [backup-simplify]: Simplify (+ 0) into 0 10.289 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 10.289 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 10.290 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U J))) into 0 10.290 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))) into 0 10.290 * [backup-simplify]: Simplify (+ 0 0) into 0 10.291 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 10.291 * [taylor]: Taking taylor expansion of J in K 10.291 * [backup-simplify]: Simplify J into J 10.291 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in J 10.291 * [taylor]: Taking taylor expansion of -2 in J 10.291 * [backup-simplify]: Simplify -2 into -2 10.291 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in J 10.291 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 10.291 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 10.291 * [taylor]: Taking taylor expansion of 1/2 in J 10.291 * [backup-simplify]: Simplify 1/2 into 1/2 10.291 * [taylor]: Taking taylor expansion of K in J 10.291 * [backup-simplify]: Simplify K into K 10.291 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.291 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.291 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.291 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in J 10.291 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 10.291 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 10.292 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in J 10.292 * [taylor]: Taking taylor expansion of (* 1 1) in J 10.292 * [taylor]: Taking taylor expansion of 1 in J 10.292 * [backup-simplify]: Simplify 1 into 1 10.292 * [taylor]: Taking taylor expansion of 1 in J 10.292 * [backup-simplify]: Simplify 1 into 1 10.292 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in J 10.292 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 10.292 * [taylor]: Taking taylor expansion of 1/2 in J 10.292 * [backup-simplify]: Simplify 1/2 into 1/2 10.292 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 10.292 * [taylor]: Taking taylor expansion of U in J 10.292 * [backup-simplify]: Simplify U into U 10.292 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 10.292 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 10.292 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 10.292 * [taylor]: Taking taylor expansion of 1/2 in J 10.292 * [backup-simplify]: Simplify 1/2 into 1/2 10.292 * [taylor]: Taking taylor expansion of K in J 10.292 * [backup-simplify]: Simplify K into K 10.292 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.292 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.292 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 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 (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.292 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.293 * [backup-simplify]: Simplify (- 0) into 0 10.293 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.293 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 10.293 * [backup-simplify]: Simplify (+ 0) into 0 10.294 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 10.294 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 10.295 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.296 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 10.296 * [backup-simplify]: Simplify (- 0) into 0 10.296 * [backup-simplify]: Simplify (+ 0 0) into 0 10.297 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 10.297 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 10.297 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 10.297 * [taylor]: Taking taylor expansion of 1/2 in J 10.297 * [backup-simplify]: Simplify 1/2 into 1/2 10.297 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 10.297 * [taylor]: Taking taylor expansion of U in J 10.297 * [backup-simplify]: Simplify U into U 10.297 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 10.297 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 10.297 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 10.297 * [taylor]: Taking taylor expansion of 1/2 in J 10.297 * [backup-simplify]: Simplify 1/2 into 1/2 10.297 * [taylor]: Taking taylor expansion of K in J 10.297 * [backup-simplify]: Simplify K into K 10.297 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.297 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.297 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.298 * [taylor]: Taking taylor expansion of J in J 10.298 * [backup-simplify]: Simplify 0 into 0 10.298 * [backup-simplify]: Simplify 1 into 1 10.298 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.298 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.298 * [backup-simplify]: Simplify (- 0) into 0 10.298 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.298 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 10.299 * [backup-simplify]: Simplify (+ 0) into 0 10.299 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 10.300 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 10.300 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.301 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 10.301 * [backup-simplify]: Simplify (- 0) into 0 10.302 * [backup-simplify]: Simplify (+ 0 0) into 0 10.302 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 10.302 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 10.302 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 10.302 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 10.303 * [backup-simplify]: Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 10.303 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 10.303 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 10.304 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.305 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.305 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 10.306 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.307 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.307 * [backup-simplify]: Simplify (- 0) into 0 10.307 * [backup-simplify]: Simplify (+ 0 0) into 0 10.308 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 10.308 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 10.309 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 10.310 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.311 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.312 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 10.313 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.313 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.314 * [backup-simplify]: Simplify (- 0) into 0 10.314 * [backup-simplify]: Simplify (+ 0 0) into 0 10.315 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 10.315 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ U (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 10.315 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ U (cos (* 1/2 K))))) into 0 10.316 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0 10.316 * [backup-simplify]: Simplify (+ 0 0) into 0 10.316 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 10.316 * [taylor]: Taking taylor expansion of J in J 10.316 * [backup-simplify]: Simplify 0 into 0 10.316 * [backup-simplify]: Simplify 1 into 1 10.316 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in U 10.316 * [taylor]: Taking taylor expansion of -2 in U 10.316 * [backup-simplify]: Simplify -2 into -2 10.316 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in U 10.316 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 10.316 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 10.316 * [taylor]: Taking taylor expansion of 1/2 in U 10.316 * [backup-simplify]: Simplify 1/2 into 1/2 10.317 * [taylor]: Taking taylor expansion of K in U 10.317 * [backup-simplify]: Simplify K into K 10.317 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.317 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.317 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.317 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in U 10.317 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 10.317 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 10.317 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 10.317 * [taylor]: Taking taylor expansion of (* 1 1) in U 10.317 * [taylor]: Taking taylor expansion of 1 in U 10.317 * [backup-simplify]: Simplify 1 into 1 10.317 * [taylor]: Taking taylor expansion of 1 in U 10.317 * [backup-simplify]: Simplify 1 into 1 10.317 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 10.317 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 10.317 * [taylor]: Taking taylor expansion of 1/2 in U 10.317 * [backup-simplify]: Simplify 1/2 into 1/2 10.317 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 10.317 * [taylor]: Taking taylor expansion of U in U 10.317 * [backup-simplify]: Simplify 0 into 0 10.317 * [backup-simplify]: Simplify 1 into 1 10.317 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 10.317 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 10.317 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 10.317 * [taylor]: Taking taylor expansion of 1/2 in U 10.317 * [backup-simplify]: Simplify 1/2 into 1/2 10.317 * [taylor]: Taking taylor expansion of K in U 10.317 * [backup-simplify]: Simplify K into K 10.317 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.317 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.318 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.318 * [taylor]: Taking taylor expansion of J in U 10.318 * [backup-simplify]: Simplify J into J 10.318 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.318 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.318 * [backup-simplify]: Simplify (- 0) into 0 10.318 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.318 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 10.318 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 10.318 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 10.318 * [taylor]: Taking taylor expansion of 1/2 in U 10.319 * [backup-simplify]: Simplify 1/2 into 1/2 10.319 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 10.319 * [taylor]: Taking taylor expansion of U in U 10.319 * [backup-simplify]: Simplify 0 into 0 10.319 * [backup-simplify]: Simplify 1 into 1 10.319 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 10.319 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 10.319 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 10.319 * [taylor]: Taking taylor expansion of 1/2 in U 10.319 * [backup-simplify]: Simplify 1/2 into 1/2 10.319 * [taylor]: Taking taylor expansion of K in U 10.319 * [backup-simplify]: Simplify K into K 10.319 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.319 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.319 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.319 * [taylor]: Taking taylor expansion of J in U 10.319 * [backup-simplify]: Simplify J into J 10.319 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.319 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.320 * [backup-simplify]: Simplify (- 0) into 0 10.320 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.320 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 10.320 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 10.320 * [backup-simplify]: Simplify (* 1 1) into 1 10.321 * [backup-simplify]: Simplify (+ 1 0) into 1 10.321 * [backup-simplify]: Simplify (sqrt 1) into 1 10.322 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.322 * [backup-simplify]: Simplify (+ 0 0) into 0 10.323 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.323 * [taylor]: Taking taylor expansion of J in U 10.323 * [backup-simplify]: Simplify J into J 10.323 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J))) in U 10.323 * [taylor]: Taking taylor expansion of -2 in U 10.323 * [backup-simplify]: Simplify -2 into -2 10.323 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J)) in U 10.323 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 10.323 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 10.323 * [taylor]: Taking taylor expansion of 1/2 in U 10.323 * [backup-simplify]: Simplify 1/2 into 1/2 10.323 * [taylor]: Taking taylor expansion of K in U 10.323 * [backup-simplify]: Simplify K into K 10.323 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.323 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.323 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.323 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) J) in U 10.323 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 10.323 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) 10.323 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) in U 10.323 * [taylor]: Taking taylor expansion of (* 1 1) in U 10.323 * [taylor]: Taking taylor expansion of 1 in U 10.324 * [backup-simplify]: Simplify 1 into 1 10.324 * [taylor]: Taking taylor expansion of 1 in U 10.324 * [backup-simplify]: Simplify 1 into 1 10.324 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) in U 10.324 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 10.324 * [taylor]: Taking taylor expansion of 1/2 in U 10.324 * [backup-simplify]: Simplify 1/2 into 1/2 10.324 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 10.324 * [taylor]: Taking taylor expansion of U in U 10.324 * [backup-simplify]: Simplify 0 into 0 10.324 * [backup-simplify]: Simplify 1 into 1 10.324 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 10.324 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 10.324 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 10.324 * [taylor]: Taking taylor expansion of 1/2 in U 10.324 * [backup-simplify]: Simplify 1/2 into 1/2 10.324 * [taylor]: Taking taylor expansion of K in U 10.324 * [backup-simplify]: Simplify K into K 10.324 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.324 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.324 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.324 * [taylor]: Taking taylor expansion of J in U 10.324 * [backup-simplify]: Simplify J into J 10.324 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.324 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.325 * [backup-simplify]: Simplify (- 0) into 0 10.325 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.325 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 10.325 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 10.325 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 10.325 * [taylor]: Taking taylor expansion of 1/2 in U 10.325 * [backup-simplify]: Simplify 1/2 into 1/2 10.325 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 10.325 * [taylor]: Taking taylor expansion of U in U 10.325 * [backup-simplify]: Simplify 0 into 0 10.325 * [backup-simplify]: Simplify 1 into 1 10.325 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 10.325 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 10.325 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 10.325 * [taylor]: Taking taylor expansion of 1/2 in U 10.325 * [backup-simplify]: Simplify 1/2 into 1/2 10.325 * [taylor]: Taking taylor expansion of K in U 10.325 * [backup-simplify]: Simplify K into K 10.325 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.325 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.326 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.326 * [taylor]: Taking taylor expansion of J in U 10.326 * [backup-simplify]: Simplify J into J 10.326 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.326 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.326 * [backup-simplify]: Simplify (- 0) into 0 10.326 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.326 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 10.326 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 10.327 * [backup-simplify]: Simplify (* 1 1) into 1 10.327 * [backup-simplify]: Simplify (+ 1 0) into 1 10.328 * [backup-simplify]: Simplify (sqrt 1) into 1 10.328 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.328 * [backup-simplify]: Simplify (+ 0 0) into 0 10.329 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.329 * [taylor]: Taking taylor expansion of J in U 10.329 * [backup-simplify]: Simplify J into J 10.329 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.330 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.330 * [backup-simplify]: Simplify (- 0) into 0 10.330 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.330 * [backup-simplify]: Simplify (* 1 J) into J 10.330 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 10.330 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J)) 10.330 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J 10.330 * [taylor]: Taking taylor expansion of -2 in J 10.330 * [backup-simplify]: Simplify -2 into -2 10.330 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 10.330 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 10.331 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 10.331 * [taylor]: Taking taylor expansion of 1/2 in J 10.331 * [backup-simplify]: Simplify 1/2 into 1/2 10.331 * [taylor]: Taking taylor expansion of K in J 10.331 * [backup-simplify]: Simplify K into K 10.331 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.331 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.331 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.331 * [taylor]: Taking taylor expansion of J in J 10.331 * [backup-simplify]: Simplify 0 into 0 10.331 * [backup-simplify]: Simplify 1 into 1 10.331 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 10.332 * [backup-simplify]: Simplify (+ 0) into 0 10.332 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 10.333 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 10.333 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.334 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 10.334 * [backup-simplify]: Simplify (- 0) into 0 10.334 * [backup-simplify]: Simplify (+ 0 0) into 0 10.335 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 10.335 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0 10.335 * [taylor]: Taking taylor expansion of 0 in J 10.335 * [backup-simplify]: Simplify 0 into 0 10.335 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.335 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.336 * [backup-simplify]: Simplify (- 0) into 0 10.336 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.336 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 10.336 * [backup-simplify]: Simplify (* -2 0) into 0 10.336 * [taylor]: Taking taylor expansion of 0 in K 10.336 * [backup-simplify]: Simplify 0 into 0 10.336 * [backup-simplify]: Simplify 0 into 0 10.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.337 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 10.337 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 10.338 * [backup-simplify]: Simplify (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 1/2 (* (cos (* 1/2 K)) J))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 10.338 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 10.339 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 10.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) J))) into (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J))) 10.341 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.344 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.345 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 10.345 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.346 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.346 * [backup-simplify]: Simplify (- 0) into 0 10.347 * [backup-simplify]: Simplify (+ 0 0) into 0 10.347 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J)))) (+ (* 0 0) (* 0 J))) into (* 1/8 (/ 1 (* (cos (* 1/2 K)) J))) 10.348 * [backup-simplify]: Simplify (+ (* -2 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J)))) into (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) 10.348 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in J 10.348 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in J 10.348 * [taylor]: Taking taylor expansion of 1/4 in J 10.348 * [backup-simplify]: Simplify 1/4 into 1/4 10.348 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in J 10.348 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 10.348 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 10.348 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 10.348 * [taylor]: Taking taylor expansion of 1/2 in J 10.348 * [backup-simplify]: Simplify 1/2 into 1/2 10.348 * [taylor]: Taking taylor expansion of K in J 10.348 * [backup-simplify]: Simplify K into K 10.348 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.348 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.348 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.348 * [taylor]: Taking taylor expansion of J in J 10.349 * [backup-simplify]: Simplify 0 into 0 10.349 * [backup-simplify]: Simplify 1 into 1 10.349 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.349 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.349 * [backup-simplify]: Simplify (- 0) into 0 10.349 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.349 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 10.350 * [backup-simplify]: Simplify (+ 0) into 0 10.350 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 10.351 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 10.351 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.352 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 10.352 * [backup-simplify]: Simplify (- 0) into 0 10.352 * [backup-simplify]: Simplify (+ 0 0) into 0 10.353 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 10.353 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 K))) into (/ 1 (cos (* 1/2 K))) 10.353 * [backup-simplify]: Simplify (* 1/4 (/ 1 (cos (* 1/2 K)))) into (/ 1/4 (cos (* 1/2 K))) 10.353 * [backup-simplify]: Simplify (- (/ 1/4 (cos (* 1/2 K)))) into (- (* 1/4 (/ 1 (cos (* 1/2 K))))) 10.353 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (cos (* 1/2 K))))) in K 10.353 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (cos (* 1/2 K)))) in K 10.353 * [taylor]: Taking taylor expansion of 1/4 in K 10.353 * [backup-simplify]: Simplify 1/4 into 1/4 10.353 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 1/2 K))) in K 10.353 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 10.353 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 10.353 * [taylor]: Taking taylor expansion of 1/2 in K 10.353 * [backup-simplify]: Simplify 1/2 into 1/2 10.353 * [taylor]: Taking taylor expansion of K in K 10.353 * [backup-simplify]: Simplify 0 into 0 10.353 * [backup-simplify]: Simplify 1 into 1 10.354 * [backup-simplify]: Simplify (* 1/2 0) into 0 10.354 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 10.355 * [backup-simplify]: Simplify (/ 1 1) into 1 10.355 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 10.356 * [backup-simplify]: Simplify (- 1/4) into -1/4 10.356 * [backup-simplify]: Simplify -1/4 into -1/4 10.356 * [taylor]: Taking taylor expansion of 0 in K 10.356 * [backup-simplify]: Simplify 0 into 0 10.356 * [backup-simplify]: Simplify 0 into 0 10.356 * [backup-simplify]: Simplify (+ 0) into 0 10.357 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 10.357 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 10.358 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.358 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 10.359 * [backup-simplify]: Simplify (- 0) into 0 10.359 * [backup-simplify]: Simplify (+ 0 0) into 0 10.359 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 10.360 * [backup-simplify]: Simplify (+ (* -2 (cos (* 1/2 K))) (* 0 0)) into (- (* 2 (cos (* 1/2 K)))) 10.360 * [taylor]: Taking taylor expansion of (- (* 2 (cos (* 1/2 K)))) in K 10.360 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K 10.360 * [taylor]: Taking taylor expansion of 2 in K 10.360 * [backup-simplify]: Simplify 2 into 2 10.360 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 10.360 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 10.360 * [taylor]: Taking taylor expansion of 1/2 in K 10.360 * [backup-simplify]: Simplify 1/2 into 1/2 10.360 * [taylor]: Taking taylor expansion of K in K 10.360 * [backup-simplify]: Simplify 0 into 0 10.360 * [backup-simplify]: Simplify 1 into 1 10.360 * [backup-simplify]: Simplify (* 1/2 0) into 0 10.361 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 10.361 * [backup-simplify]: Simplify (* 2 1) into 2 10.361 * [backup-simplify]: Simplify (- 2) into -2 10.361 * [backup-simplify]: Simplify -2 into -2 10.361 * [backup-simplify]: Simplify 0 into 0 10.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.362 * [backup-simplify]: Simplify (+ 0) into 0 10.363 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 10.363 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 10.363 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.364 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 10.364 * [backup-simplify]: Simplify (- 0) into 0 10.364 * [backup-simplify]: Simplify (+ 0 0) into 0 10.364 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 10.364 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 10.365 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 10.365 * [backup-simplify]: Simplify (+ 0) into 0 10.365 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 10.366 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 10.366 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.366 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 10.367 * [backup-simplify]: Simplify (- 0) into 0 10.367 * [backup-simplify]: Simplify (+ 0 0) into 0 10.367 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 10.367 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 10.367 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 10.368 * [backup-simplify]: Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J)))) into 0 10.368 * [backup-simplify]: Simplify (+ 0 0) into 0 10.368 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 10.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) (* 0 J)))) into 0 10.370 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.370 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.371 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 10.372 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.372 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.372 * [backup-simplify]: Simplify (- 0) into 0 10.373 * [backup-simplify]: Simplify (+ 0 0) into 0 10.373 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) J)))) (+ (* 0 0) (* 0 J)))) into 0 10.374 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0 10.374 * [taylor]: Taking taylor expansion of 0 in J 10.374 * [backup-simplify]: Simplify 0 into 0 10.374 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.375 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.375 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 10.376 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.376 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.376 * [backup-simplify]: Simplify (- 0) into 0 10.377 * [backup-simplify]: Simplify (+ 0 0) into 0 10.377 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 10.377 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 10.377 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (* 1/2 K))))) into 0 10.378 * [backup-simplify]: Simplify (- 0) into 0 10.378 * [taylor]: Taking taylor expansion of 0 in K 10.378 * [backup-simplify]: Simplify 0 into 0 10.378 * [backup-simplify]: Simplify 0 into 0 10.378 * [taylor]: Taking taylor expansion of 0 in K 10.378 * [backup-simplify]: Simplify 0 into 0 10.378 * [backup-simplify]: Simplify 0 into 0 10.378 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.379 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.379 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 10.380 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.380 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.380 * [backup-simplify]: Simplify (- 0) into 0 10.381 * [backup-simplify]: Simplify (+ 0 0) into 0 10.381 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 10.381 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0 10.382 * [taylor]: Taking taylor expansion of 0 in K 10.382 * [backup-simplify]: Simplify 0 into 0 10.382 * [backup-simplify]: Simplify 0 into 0 10.382 * [backup-simplify]: Simplify (+ 0) into 0 10.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.383 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 10.383 * [backup-simplify]: Simplify (- 0) into 0 10.383 * [backup-simplify]: Simplify 0 into 0 10.383 * [backup-simplify]: Simplify 0 into 0 10.383 * [backup-simplify]: Simplify (+ (* -2 (* 1 (* J 1))) (* -1/4 (* 1 (* (/ 1 J) (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 10.383 * [backup-simplify]: Simplify (* (hypot 1 (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) (* (sqrt (cos (/ (/ 1 K) 2))) (* (sqrt (cos (/ (/ 1 K) 2))) (* -2 (/ 1 J))))) into (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) 10.383 * [approximate]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in (U J K) around 0 10.384 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in K 10.384 * [taylor]: Taking taylor expansion of -2 in K 10.384 * [backup-simplify]: Simplify -2 into -2 10.384 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in K 10.384 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in K 10.384 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 10.384 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 10.384 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in K 10.384 * [taylor]: Taking taylor expansion of (* 1 1) in K 10.384 * [taylor]: Taking taylor expansion of 1 in K 10.384 * [backup-simplify]: Simplify 1 into 1 10.384 * [taylor]: Taking taylor expansion of 1 in K 10.384 * [backup-simplify]: Simplify 1 into 1 10.384 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K 10.384 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 10.384 * [taylor]: Taking taylor expansion of 1/2 in K 10.384 * [backup-simplify]: Simplify 1/2 into 1/2 10.384 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 10.384 * [taylor]: Taking taylor expansion of J in K 10.384 * [backup-simplify]: Simplify J into J 10.384 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 10.384 * [taylor]: Taking taylor expansion of U in K 10.384 * [backup-simplify]: Simplify U into U 10.384 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 10.384 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 10.384 * [taylor]: Taking taylor expansion of 1/2 in K 10.384 * [backup-simplify]: Simplify 1/2 into 1/2 10.384 * [taylor]: Taking taylor expansion of K in K 10.384 * [backup-simplify]: Simplify 0 into 0 10.384 * [backup-simplify]: Simplify 1 into 1 10.384 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.384 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.384 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 10.385 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 10.385 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 10.385 * [taylor]: Taking taylor expansion of 1/2 in K 10.385 * [backup-simplify]: Simplify 1/2 into 1/2 10.385 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 10.385 * [taylor]: Taking taylor expansion of J in K 10.385 * [backup-simplify]: Simplify J into J 10.385 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 10.385 * [taylor]: Taking taylor expansion of U in K 10.385 * [backup-simplify]: Simplify U into U 10.385 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 10.385 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 10.385 * [taylor]: Taking taylor expansion of 1/2 in K 10.385 * [backup-simplify]: Simplify 1/2 into 1/2 10.385 * [taylor]: Taking taylor expansion of K in K 10.385 * [backup-simplify]: Simplify 0 into 0 10.385 * [backup-simplify]: Simplify 1 into 1 10.385 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.385 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.385 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 10.385 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 10.385 * [backup-simplify]: Simplify (* 1 1) into 1 10.386 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 10.386 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 10.386 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 10.386 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 10.386 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 10.387 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.387 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 10.387 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 10.387 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 10.387 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 10.388 * [backup-simplify]: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ J (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))))) into 0 10.388 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* U (cos (/ 1/2 K)))))) into 0 10.388 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into 0 10.388 * [backup-simplify]: Simplify (+ 0 0) into 0 10.389 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 10.389 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 10.389 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 10.389 * [taylor]: Taking taylor expansion of 1/2 in K 10.389 * [backup-simplify]: Simplify 1/2 into 1/2 10.389 * [taylor]: Taking taylor expansion of K in K 10.389 * [backup-simplify]: Simplify 0 into 0 10.389 * [backup-simplify]: Simplify 1 into 1 10.389 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.389 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.389 * [taylor]: Taking taylor expansion of J in K 10.389 * [backup-simplify]: Simplify J into J 10.389 * [backup-simplify]: Simplify (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) into (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) 10.390 * [backup-simplify]: Simplify (/ (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (cos (/ 1/2 K))) J) into (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) 10.390 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in J 10.390 * [taylor]: Taking taylor expansion of -2 in J 10.390 * [backup-simplify]: Simplify -2 into -2 10.390 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in J 10.390 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in J 10.390 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 10.390 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 10.390 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in J 10.390 * [taylor]: Taking taylor expansion of (* 1 1) in J 10.390 * [taylor]: Taking taylor expansion of 1 in J 10.390 * [backup-simplify]: Simplify 1 into 1 10.390 * [taylor]: Taking taylor expansion of 1 in J 10.390 * [backup-simplify]: Simplify 1 into 1 10.390 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J 10.390 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 10.390 * [taylor]: Taking taylor expansion of 1/2 in J 10.390 * [backup-simplify]: Simplify 1/2 into 1/2 10.390 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 10.390 * [taylor]: Taking taylor expansion of J in J 10.390 * [backup-simplify]: Simplify 0 into 0 10.390 * [backup-simplify]: Simplify 1 into 1 10.390 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 10.390 * [taylor]: Taking taylor expansion of U in J 10.390 * [backup-simplify]: Simplify U into U 10.390 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 10.390 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 10.390 * [taylor]: Taking taylor expansion of 1/2 in J 10.390 * [backup-simplify]: Simplify 1/2 into 1/2 10.390 * [taylor]: Taking taylor expansion of K in J 10.390 * [backup-simplify]: Simplify K into K 10.390 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.390 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.390 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.390 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.390 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.391 * [backup-simplify]: Simplify (- 0) into 0 10.391 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.391 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 10.391 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 10.391 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 10.391 * [taylor]: Taking taylor expansion of 1/2 in J 10.391 * [backup-simplify]: Simplify 1/2 into 1/2 10.391 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 10.391 * [taylor]: Taking taylor expansion of J in J 10.391 * [backup-simplify]: Simplify 0 into 0 10.391 * [backup-simplify]: Simplify 1 into 1 10.391 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 10.391 * [taylor]: Taking taylor expansion of U in J 10.391 * [backup-simplify]: Simplify U into U 10.391 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 10.391 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 10.391 * [taylor]: Taking taylor expansion of 1/2 in J 10.391 * [backup-simplify]: Simplify 1/2 into 1/2 10.391 * [taylor]: Taking taylor expansion of K in J 10.391 * [backup-simplify]: Simplify K into K 10.391 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.391 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.391 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.391 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.391 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.392 * [backup-simplify]: Simplify (- 0) into 0 10.392 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.392 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 10.392 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 10.392 * [backup-simplify]: Simplify (* 1 1) into 1 10.393 * [backup-simplify]: Simplify (+ 1 0) into 1 10.393 * [backup-simplify]: Simplify (sqrt 1) into 1 10.394 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.394 * [backup-simplify]: Simplify (+ 0 0) into 0 10.395 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.395 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 10.395 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 10.395 * [taylor]: Taking taylor expansion of 1/2 in J 10.395 * [backup-simplify]: Simplify 1/2 into 1/2 10.395 * [taylor]: Taking taylor expansion of K in J 10.395 * [backup-simplify]: Simplify K into K 10.395 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.395 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.395 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.395 * [taylor]: Taking taylor expansion of J in J 10.395 * [backup-simplify]: Simplify 0 into 0 10.395 * [backup-simplify]: Simplify 1 into 1 10.395 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.395 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.396 * [backup-simplify]: Simplify (- 0) into 0 10.396 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.396 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 10.396 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.396 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in U 10.396 * [taylor]: Taking taylor expansion of -2 in U 10.396 * [backup-simplify]: Simplify -2 into -2 10.396 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in U 10.396 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 10.396 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 10.396 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 10.396 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 10.396 * [taylor]: Taking taylor expansion of (* 1 1) in U 10.397 * [taylor]: Taking taylor expansion of 1 in U 10.397 * [backup-simplify]: Simplify 1 into 1 10.397 * [taylor]: Taking taylor expansion of 1 in U 10.397 * [backup-simplify]: Simplify 1 into 1 10.397 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 10.397 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 10.397 * [taylor]: Taking taylor expansion of 1/2 in U 10.397 * [backup-simplify]: Simplify 1/2 into 1/2 10.397 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 10.397 * [taylor]: Taking taylor expansion of J in U 10.397 * [backup-simplify]: Simplify J into J 10.397 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 10.397 * [taylor]: Taking taylor expansion of U in U 10.397 * [backup-simplify]: Simplify 0 into 0 10.397 * [backup-simplify]: Simplify 1 into 1 10.397 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 10.397 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 10.397 * [taylor]: Taking taylor expansion of 1/2 in U 10.397 * [backup-simplify]: Simplify 1/2 into 1/2 10.397 * [taylor]: Taking taylor expansion of K in U 10.397 * [backup-simplify]: Simplify K into K 10.397 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.397 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.397 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.397 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.397 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.398 * [backup-simplify]: Simplify (- 0) into 0 10.398 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.398 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 10.399 * [backup-simplify]: Simplify (+ 0) into 0 10.399 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.399 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.400 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.401 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.401 * [backup-simplify]: Simplify (- 0) into 0 10.401 * [backup-simplify]: Simplify (+ 0 0) into 0 10.402 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 10.402 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 10.402 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 10.402 * [taylor]: Taking taylor expansion of 1/2 in U 10.402 * [backup-simplify]: Simplify 1/2 into 1/2 10.402 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 10.402 * [taylor]: Taking taylor expansion of J in U 10.402 * [backup-simplify]: Simplify J into J 10.402 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 10.402 * [taylor]: Taking taylor expansion of U in U 10.402 * [backup-simplify]: Simplify 0 into 0 10.402 * [backup-simplify]: Simplify 1 into 1 10.402 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 10.402 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 10.402 * [taylor]: Taking taylor expansion of 1/2 in U 10.402 * [backup-simplify]: Simplify 1/2 into 1/2 10.402 * [taylor]: Taking taylor expansion of K in U 10.402 * [backup-simplify]: Simplify K into K 10.402 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.403 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.403 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.403 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.403 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.403 * [backup-simplify]: Simplify (- 0) into 0 10.403 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.403 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 10.404 * [backup-simplify]: Simplify (+ 0) into 0 10.404 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.405 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.405 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.406 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.406 * [backup-simplify]: Simplify (- 0) into 0 10.407 * [backup-simplify]: Simplify (+ 0 0) into 0 10.407 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 10.407 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 10.407 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 10.407 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 10.408 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 10.408 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 10.408 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 10.409 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.409 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.409 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.410 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.410 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.411 * [backup-simplify]: Simplify (- 0) into 0 10.411 * [backup-simplify]: Simplify (+ 0 0) into 0 10.411 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 10.412 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 10.412 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 10.412 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.413 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.413 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.414 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.414 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.414 * [backup-simplify]: Simplify (- 0) into 0 10.415 * [backup-simplify]: Simplify (+ 0 0) into 0 10.415 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 10.415 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 10.416 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 10.416 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 10.416 * [backup-simplify]: Simplify (+ 0 0) into 0 10.416 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 10.416 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 10.416 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 10.416 * [taylor]: Taking taylor expansion of 1/2 in U 10.416 * [backup-simplify]: Simplify 1/2 into 1/2 10.416 * [taylor]: Taking taylor expansion of K in U 10.416 * [backup-simplify]: Simplify K into K 10.416 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.416 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.416 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.416 * [taylor]: Taking taylor expansion of J in U 10.416 * [backup-simplify]: Simplify J into J 10.416 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.417 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.417 * [backup-simplify]: Simplify (- 0) into 0 10.417 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.417 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 10.417 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 10.417 * [taylor]: Taking taylor expansion of (* -2 (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J)) in U 10.417 * [taylor]: Taking taylor expansion of -2 in U 10.417 * [backup-simplify]: Simplify -2 into -2 10.417 * [taylor]: Taking taylor expansion of (/ (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) J) in U 10.417 * [taylor]: Taking taylor expansion of (* (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (cos (/ 1/2 K))) in U 10.417 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 10.417 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) 10.417 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U 10.417 * [taylor]: Taking taylor expansion of (* 1 1) in U 10.417 * [taylor]: Taking taylor expansion of 1 in U 10.417 * [backup-simplify]: Simplify 1 into 1 10.417 * [taylor]: Taking taylor expansion of 1 in U 10.417 * [backup-simplify]: Simplify 1 into 1 10.417 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U 10.417 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 10.417 * [taylor]: Taking taylor expansion of 1/2 in U 10.417 * [backup-simplify]: Simplify 1/2 into 1/2 10.417 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 10.417 * [taylor]: Taking taylor expansion of J in U 10.417 * [backup-simplify]: Simplify J into J 10.417 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 10.417 * [taylor]: Taking taylor expansion of U in U 10.417 * [backup-simplify]: Simplify 0 into 0 10.417 * [backup-simplify]: Simplify 1 into 1 10.418 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 10.418 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 10.418 * [taylor]: Taking taylor expansion of 1/2 in U 10.418 * [backup-simplify]: Simplify 1/2 into 1/2 10.418 * [taylor]: Taking taylor expansion of K in U 10.418 * [backup-simplify]: Simplify K into K 10.418 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.418 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.418 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.418 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.418 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.418 * [backup-simplify]: Simplify (- 0) into 0 10.418 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.418 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 10.419 * [backup-simplify]: Simplify (+ 0) into 0 10.419 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.419 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.420 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.420 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.420 * [backup-simplify]: Simplify (- 0) into 0 10.420 * [backup-simplify]: Simplify (+ 0 0) into 0 10.421 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 10.421 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 10.421 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 10.421 * [taylor]: Taking taylor expansion of 1/2 in U 10.421 * [backup-simplify]: Simplify 1/2 into 1/2 10.421 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 10.421 * [taylor]: Taking taylor expansion of J in U 10.421 * [backup-simplify]: Simplify J into J 10.421 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 10.421 * [taylor]: Taking taylor expansion of U in U 10.421 * [backup-simplify]: Simplify 0 into 0 10.421 * [backup-simplify]: Simplify 1 into 1 10.421 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 10.421 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 10.421 * [taylor]: Taking taylor expansion of 1/2 in U 10.421 * [backup-simplify]: Simplify 1/2 into 1/2 10.421 * [taylor]: Taking taylor expansion of K in U 10.421 * [backup-simplify]: Simplify K into K 10.421 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.421 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.421 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.421 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.421 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.422 * [backup-simplify]: Simplify (- 0) into 0 10.422 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.422 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 10.422 * [backup-simplify]: Simplify (+ 0) into 0 10.422 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.422 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.423 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.423 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.423 * [backup-simplify]: Simplify (- 0) into 0 10.423 * [backup-simplify]: Simplify (+ 0 0) into 0 10.424 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 10.424 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 10.424 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 10.424 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 10.424 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 10.424 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 10.424 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 10.425 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.425 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.426 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.426 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.426 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.427 * [backup-simplify]: Simplify (- 0) into 0 10.427 * [backup-simplify]: Simplify (+ 0 0) into 0 10.427 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 10.427 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 10.428 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 10.428 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.429 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.429 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.429 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.430 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.430 * [backup-simplify]: Simplify (- 0) into 0 10.430 * [backup-simplify]: Simplify (+ 0 0) into 0 10.431 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 10.431 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 10.431 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 10.431 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 10.432 * [backup-simplify]: Simplify (+ 0 0) into 0 10.432 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 10.432 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 10.432 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 10.432 * [taylor]: Taking taylor expansion of 1/2 in U 10.432 * [backup-simplify]: Simplify 1/2 into 1/2 10.432 * [taylor]: Taking taylor expansion of K in U 10.432 * [backup-simplify]: Simplify K into K 10.432 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.432 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.432 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.432 * [taylor]: Taking taylor expansion of J in U 10.432 * [backup-simplify]: Simplify J into J 10.432 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.432 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.432 * [backup-simplify]: Simplify (- 0) into 0 10.432 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.433 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (cos (/ 1/2 K))) into (* 1/2 J) 10.433 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 10.433 * [backup-simplify]: Simplify (* -2 1/2) into -1 10.433 * [taylor]: Taking taylor expansion of -1 in J 10.433 * [backup-simplify]: Simplify -1 into -1 10.433 * [backup-simplify]: Simplify (+ 0) into 0 10.434 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.434 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.434 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.434 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.435 * [backup-simplify]: Simplify (- 0) into 0 10.435 * [backup-simplify]: Simplify (+ 0 0) into 0 10.435 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (cos (/ 1/2 K)))) into 0 10.435 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)))) into 0 10.436 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0 10.436 * [taylor]: Taking taylor expansion of 0 in J 10.436 * [backup-simplify]: Simplify 0 into 0 10.436 * [taylor]: Taking taylor expansion of -1 in K 10.436 * [backup-simplify]: Simplify -1 into -1 10.436 * [backup-simplify]: Simplify -1 into -1 10.436 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.437 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.437 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.437 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.438 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.438 * [backup-simplify]: Simplify (- 0) into 0 10.438 * [backup-simplify]: Simplify (+ 0 0) into 0 10.438 * [backup-simplify]: Simplify (* 1 1) into 1 10.439 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.439 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.439 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.440 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.441 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.441 * [backup-simplify]: Simplify (- 0) into 0 10.441 * [backup-simplify]: Simplify (+ 0 0) into 0 10.442 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 10.442 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 10.443 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 10.443 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.444 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.444 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.447 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.448 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.448 * [backup-simplify]: Simplify (- 0) into 0 10.448 * [backup-simplify]: Simplify (+ 0 0) into 0 10.450 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 10.450 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 10.451 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 10.451 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K))))))) into 0 10.452 * [backup-simplify]: Simplify (+ 1 0) into 1 10.453 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 10.453 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* (/ (cos (/ 1/2 K)) J) (cos (/ 1/2 K))))) into (/ (pow (cos (/ 1/2 K)) 2) J) 10.454 * [backup-simplify]: Simplify (- (/ (/ (pow (cos (/ 1/2 K)) 2) J) J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 10.454 * [backup-simplify]: Simplify (+ (* -2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) 10.454 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J 10.454 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J 10.454 * [taylor]: Taking taylor expansion of 2 in J 10.454 * [backup-simplify]: Simplify 2 into 2 10.454 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J 10.454 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 10.455 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 10.455 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 10.455 * [taylor]: Taking taylor expansion of 1/2 in J 10.455 * [backup-simplify]: Simplify 1/2 into 1/2 10.455 * [taylor]: Taking taylor expansion of K in J 10.455 * [backup-simplify]: Simplify K into K 10.455 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.455 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.455 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.455 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.455 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.455 * [backup-simplify]: Simplify (- 0) into 0 10.455 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.455 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.455 * [taylor]: Taking taylor expansion of J in J 10.455 * [backup-simplify]: Simplify 0 into 0 10.455 * [backup-simplify]: Simplify 1 into 1 10.456 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 10.456 * [backup-simplify]: Simplify (* 1 1) into 1 10.456 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 10.456 * [backup-simplify]: Simplify (+ 0) into 0 10.457 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.457 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.458 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.458 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.459 * [backup-simplify]: Simplify (- 0) into 0 10.459 * [backup-simplify]: Simplify (+ 0 0) into 0 10.459 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 10.460 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.461 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 10.461 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 10.461 * [backup-simplify]: Simplify (- 0) into 0 10.461 * [taylor]: Taking taylor expansion of 0 in K 10.461 * [backup-simplify]: Simplify 0 into 0 10.461 * [backup-simplify]: Simplify 0 into 0 10.462 * [taylor]: Taking taylor expansion of 0 in K 10.462 * [backup-simplify]: Simplify 0 into 0 10.462 * [backup-simplify]: Simplify 0 into 0 10.462 * [taylor]: Taking taylor expansion of 0 in K 10.462 * [backup-simplify]: Simplify 0 into 0 10.462 * [backup-simplify]: Simplify 0 into 0 10.462 * [backup-simplify]: Simplify 0 into 0 10.462 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.463 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.464 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.465 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.465 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.466 * [backup-simplify]: Simplify (- 0) into 0 10.466 * [backup-simplify]: Simplify (+ 0 0) into 0 10.467 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.469 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 10.470 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.471 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.472 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 10.473 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 10.473 * [backup-simplify]: Simplify (- 0) into 0 10.473 * [backup-simplify]: Simplify (+ 0 0) into 0 10.475 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))))) into 0 10.475 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 10.477 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K))))))) into 0 10.479 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 10.480 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.480 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.481 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 10.482 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 10.483 * [backup-simplify]: Simplify (- 0) into 0 10.483 * [backup-simplify]: Simplify (+ 0 0) into 0 10.485 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))))) into 0 10.485 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 10.486 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K))))))) into 0 10.487 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))))) into 0 10.488 * [backup-simplify]: Simplify (+ 0 0) into 0 10.488 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 10.489 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* (/ (cos (/ 1/2 K)) J) 0) (* 0 (cos (/ 1/2 K)))))) into 0 10.489 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)) (* (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) (/ 0 J)))) into 0 10.490 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 10.490 * [taylor]: Taking taylor expansion of 0 in J 10.490 * [backup-simplify]: Simplify 0 into 0 10.491 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.492 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.492 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.493 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.493 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.493 * [backup-simplify]: Simplify (- 0) into 0 10.494 * [backup-simplify]: Simplify (+ 0 0) into 0 10.494 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 10.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.497 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.498 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 10.498 * [backup-simplify]: Simplify (- 0) into 0 10.498 * [taylor]: Taking taylor expansion of 0 in K 10.498 * [backup-simplify]: Simplify 0 into 0 10.498 * [backup-simplify]: Simplify 0 into 0 10.498 * [taylor]: Taking taylor expansion of 0 in K 10.498 * [backup-simplify]: Simplify 0 into 0 10.498 * [backup-simplify]: Simplify 0 into 0 10.498 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U) 10.499 * [backup-simplify]: Simplify (* (hypot 1 (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) (* (sqrt (cos (/ (/ 1 (- K)) 2))) (* (sqrt (cos (/ (/ 1 (- K)) 2))) (* -2 (/ 1 (- J)))))) into (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) 10.499 * [approximate]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in (U J K) around 0 10.499 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in K 10.499 * [taylor]: Taking taylor expansion of 2 in K 10.499 * [backup-simplify]: Simplify 2 into 2 10.499 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in K 10.499 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 10.499 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 10.499 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 10.499 * [taylor]: Taking taylor expansion of -1/2 in K 10.499 * [backup-simplify]: Simplify -1/2 into -1/2 10.499 * [taylor]: Taking taylor expansion of K in K 10.499 * [backup-simplify]: Simplify 0 into 0 10.499 * [backup-simplify]: Simplify 1 into 1 10.500 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 10.500 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.500 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 10.500 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 10.500 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K 10.500 * [taylor]: Taking taylor expansion of (* 1 1) in K 10.500 * [taylor]: Taking taylor expansion of 1 in K 10.500 * [backup-simplify]: Simplify 1 into 1 10.500 * [taylor]: Taking taylor expansion of 1 in K 10.500 * [backup-simplify]: Simplify 1 into 1 10.500 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K 10.500 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 10.500 * [taylor]: Taking taylor expansion of 1/2 in K 10.500 * [backup-simplify]: Simplify 1/2 into 1/2 10.500 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 10.501 * [taylor]: Taking taylor expansion of J in K 10.501 * [backup-simplify]: Simplify J into J 10.501 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 10.501 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 10.501 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 10.501 * [taylor]: Taking taylor expansion of -1/2 in K 10.501 * [backup-simplify]: Simplify -1/2 into -1/2 10.501 * [taylor]: Taking taylor expansion of K in K 10.501 * [backup-simplify]: Simplify 0 into 0 10.501 * [backup-simplify]: Simplify 1 into 1 10.501 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 10.501 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.501 * [taylor]: Taking taylor expansion of U in K 10.501 * [backup-simplify]: Simplify U into U 10.501 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 10.502 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 10.502 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 10.502 * [taylor]: Taking taylor expansion of 1/2 in K 10.502 * [backup-simplify]: Simplify 1/2 into 1/2 10.502 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 10.502 * [taylor]: Taking taylor expansion of J in K 10.502 * [backup-simplify]: Simplify J into J 10.502 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 10.502 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 10.502 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 10.502 * [taylor]: Taking taylor expansion of -1/2 in K 10.502 * [backup-simplify]: Simplify -1/2 into -1/2 10.502 * [taylor]: Taking taylor expansion of K in K 10.502 * [backup-simplify]: Simplify 0 into 0 10.502 * [backup-simplify]: Simplify 1 into 1 10.502 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 10.502 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.503 * [taylor]: Taking taylor expansion of U in K 10.503 * [backup-simplify]: Simplify U into U 10.503 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 10.503 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 10.503 * [backup-simplify]: Simplify (* 1 1) into 1 10.503 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 10.504 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 10.504 * [backup-simplify]: Simplify (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 10.504 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 10.505 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 10.506 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.506 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 10.506 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 10.507 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 10.507 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 10.508 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ J (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 10.508 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (* (cos (/ -1/2 K)) U)))) into 0 10.508 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into 0 10.509 * [backup-simplify]: Simplify (+ 0 0) into 0 10.509 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 10.509 * [taylor]: Taking taylor expansion of J in K 10.509 * [backup-simplify]: Simplify J into J 10.510 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 10.510 * [backup-simplify]: Simplify (/ (* (cos (/ -1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) J) into (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 10.511 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in J 10.511 * [taylor]: Taking taylor expansion of 2 in J 10.511 * [backup-simplify]: Simplify 2 into 2 10.511 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in J 10.511 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 10.511 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 10.511 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 10.511 * [taylor]: Taking taylor expansion of -1/2 in J 10.511 * [backup-simplify]: Simplify -1/2 into -1/2 10.511 * [taylor]: Taking taylor expansion of K in J 10.511 * [backup-simplify]: Simplify K into K 10.511 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.511 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.511 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.511 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 10.511 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 10.511 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J 10.511 * [taylor]: Taking taylor expansion of (* 1 1) in J 10.511 * [taylor]: Taking taylor expansion of 1 in J 10.511 * [backup-simplify]: Simplify 1 into 1 10.511 * [taylor]: Taking taylor expansion of 1 in J 10.511 * [backup-simplify]: Simplify 1 into 1 10.511 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J 10.511 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 10.511 * [taylor]: Taking taylor expansion of 1/2 in J 10.511 * [backup-simplify]: Simplify 1/2 into 1/2 10.511 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 10.511 * [taylor]: Taking taylor expansion of J in J 10.511 * [backup-simplify]: Simplify 0 into 0 10.512 * [backup-simplify]: Simplify 1 into 1 10.512 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 10.512 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 10.512 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 10.512 * [taylor]: Taking taylor expansion of -1/2 in J 10.512 * [backup-simplify]: Simplify -1/2 into -1/2 10.512 * [taylor]: Taking taylor expansion of K in J 10.512 * [backup-simplify]: Simplify K into K 10.512 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.512 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.512 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.512 * [taylor]: Taking taylor expansion of U in J 10.512 * [backup-simplify]: Simplify U into U 10.512 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.512 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.513 * [backup-simplify]: Simplify (- 0) into 0 10.513 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.513 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 10.513 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 10.513 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 10.513 * [taylor]: Taking taylor expansion of 1/2 in J 10.513 * [backup-simplify]: Simplify 1/2 into 1/2 10.513 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 10.513 * [taylor]: Taking taylor expansion of J in J 10.513 * [backup-simplify]: Simplify 0 into 0 10.513 * [backup-simplify]: Simplify 1 into 1 10.513 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 10.513 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 10.513 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 10.514 * [taylor]: Taking taylor expansion of -1/2 in J 10.514 * [backup-simplify]: Simplify -1/2 into -1/2 10.514 * [taylor]: Taking taylor expansion of K in J 10.514 * [backup-simplify]: Simplify K into K 10.514 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.514 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.514 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.514 * [taylor]: Taking taylor expansion of U in J 10.514 * [backup-simplify]: Simplify U into U 10.514 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.514 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.514 * [backup-simplify]: Simplify (- 0) into 0 10.515 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.515 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 10.515 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 10.515 * [backup-simplify]: Simplify (* 1 1) into 1 10.516 * [backup-simplify]: Simplify (+ 1 0) into 1 10.516 * [backup-simplify]: Simplify (sqrt 1) into 1 10.517 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.517 * [backup-simplify]: Simplify (+ 0 0) into 0 10.518 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.518 * [taylor]: Taking taylor expansion of J in J 10.518 * [backup-simplify]: Simplify 0 into 0 10.518 * [backup-simplify]: Simplify 1 into 1 10.518 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.518 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.518 * [backup-simplify]: Simplify (- 0) into 0 10.519 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.519 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.519 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.519 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in U 10.519 * [taylor]: Taking taylor expansion of 2 in U 10.519 * [backup-simplify]: Simplify 2 into 2 10.519 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in U 10.519 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 10.519 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 10.519 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 10.519 * [taylor]: Taking taylor expansion of -1/2 in U 10.519 * [backup-simplify]: Simplify -1/2 into -1/2 10.519 * [taylor]: Taking taylor expansion of K in U 10.519 * [backup-simplify]: Simplify K into K 10.519 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.519 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.519 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.519 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 10.519 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 10.519 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 10.519 * [taylor]: Taking taylor expansion of (* 1 1) in U 10.519 * [taylor]: Taking taylor expansion of 1 in U 10.519 * [backup-simplify]: Simplify 1 into 1 10.520 * [taylor]: Taking taylor expansion of 1 in U 10.520 * [backup-simplify]: Simplify 1 into 1 10.520 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 10.520 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 10.520 * [taylor]: Taking taylor expansion of 1/2 in U 10.520 * [backup-simplify]: Simplify 1/2 into 1/2 10.520 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 10.520 * [taylor]: Taking taylor expansion of J in U 10.520 * [backup-simplify]: Simplify J into J 10.520 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 10.520 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 10.520 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 10.520 * [taylor]: Taking taylor expansion of -1/2 in U 10.520 * [backup-simplify]: Simplify -1/2 into -1/2 10.520 * [taylor]: Taking taylor expansion of K in U 10.520 * [backup-simplify]: Simplify K into K 10.520 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.520 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.520 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.520 * [taylor]: Taking taylor expansion of U in U 10.520 * [backup-simplify]: Simplify 0 into 0 10.520 * [backup-simplify]: Simplify 1 into 1 10.520 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.520 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.521 * [backup-simplify]: Simplify (- 0) into 0 10.521 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.521 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 10.521 * [backup-simplify]: Simplify (+ 0) into 0 10.522 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.522 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.523 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.523 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.524 * [backup-simplify]: Simplify (- 0) into 0 10.524 * [backup-simplify]: Simplify (+ 0 0) into 0 10.524 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 10.525 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 10.525 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 10.525 * [taylor]: Taking taylor expansion of 1/2 in U 10.525 * [backup-simplify]: Simplify 1/2 into 1/2 10.525 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 10.525 * [taylor]: Taking taylor expansion of J in U 10.525 * [backup-simplify]: Simplify J into J 10.525 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 10.525 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 10.525 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 10.525 * [taylor]: Taking taylor expansion of -1/2 in U 10.525 * [backup-simplify]: Simplify -1/2 into -1/2 10.525 * [taylor]: Taking taylor expansion of K in U 10.525 * [backup-simplify]: Simplify K into K 10.525 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.525 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.525 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.525 * [taylor]: Taking taylor expansion of U in U 10.525 * [backup-simplify]: Simplify 0 into 0 10.525 * [backup-simplify]: Simplify 1 into 1 10.525 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.525 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.526 * [backup-simplify]: Simplify (- 0) into 0 10.526 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.526 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 10.526 * [backup-simplify]: Simplify (+ 0) into 0 10.527 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.527 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.528 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.528 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.529 * [backup-simplify]: Simplify (- 0) into 0 10.529 * [backup-simplify]: Simplify (+ 0 0) into 0 10.529 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 10.529 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 10.530 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 10.530 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 10.530 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 10.531 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 10.531 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 10.532 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.533 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.533 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.534 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.534 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.535 * [backup-simplify]: Simplify (- 0) into 0 10.535 * [backup-simplify]: Simplify (+ 0 0) into 0 10.536 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 10.536 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 10.536 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 10.537 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.538 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.538 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.539 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.540 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.540 * [backup-simplify]: Simplify (- 0) into 0 10.540 * [backup-simplify]: Simplify (+ 0 0) into 0 10.541 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 10.541 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 10.542 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 10.542 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 10.543 * [backup-simplify]: Simplify (+ 0 0) into 0 10.543 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 10.543 * [taylor]: Taking taylor expansion of J in U 10.543 * [backup-simplify]: Simplify J into J 10.543 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.543 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.544 * [backup-simplify]: Simplify (- 0) into 0 10.544 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.544 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 10.544 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 10.544 * [taylor]: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J)) in U 10.544 * [taylor]: Taking taylor expansion of 2 in U 10.544 * [backup-simplify]: Simplify 2 into 2 10.544 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) J) in U 10.544 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 10.544 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 10.544 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 10.544 * [taylor]: Taking taylor expansion of -1/2 in U 10.544 * [backup-simplify]: Simplify -1/2 into -1/2 10.544 * [taylor]: Taking taylor expansion of K in U 10.544 * [backup-simplify]: Simplify K into K 10.544 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.544 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.544 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.544 * [taylor]: Taking taylor expansion of (hypot 1 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 10.544 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) 10.544 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U 10.544 * [taylor]: Taking taylor expansion of (* 1 1) in U 10.544 * [taylor]: Taking taylor expansion of 1 in U 10.545 * [backup-simplify]: Simplify 1 into 1 10.545 * [taylor]: Taking taylor expansion of 1 in U 10.545 * [backup-simplify]: Simplify 1 into 1 10.545 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U 10.545 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 10.545 * [taylor]: Taking taylor expansion of 1/2 in U 10.545 * [backup-simplify]: Simplify 1/2 into 1/2 10.545 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 10.545 * [taylor]: Taking taylor expansion of J in U 10.545 * [backup-simplify]: Simplify J into J 10.545 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 10.545 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 10.545 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 10.545 * [taylor]: Taking taylor expansion of -1/2 in U 10.545 * [backup-simplify]: Simplify -1/2 into -1/2 10.545 * [taylor]: Taking taylor expansion of K in U 10.545 * [backup-simplify]: Simplify K into K 10.545 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.545 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.545 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.545 * [taylor]: Taking taylor expansion of U in U 10.545 * [backup-simplify]: Simplify 0 into 0 10.545 * [backup-simplify]: Simplify 1 into 1 10.545 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.545 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.545 * [backup-simplify]: Simplify (- 0) into 0 10.545 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.545 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 10.546 * [backup-simplify]: Simplify (+ 0) into 0 10.546 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.546 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.547 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.547 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.547 * [backup-simplify]: Simplify (- 0) into 0 10.547 * [backup-simplify]: Simplify (+ 0 0) into 0 10.548 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 10.548 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 10.548 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 10.548 * [taylor]: Taking taylor expansion of 1/2 in U 10.548 * [backup-simplify]: Simplify 1/2 into 1/2 10.548 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 10.548 * [taylor]: Taking taylor expansion of J in U 10.548 * [backup-simplify]: Simplify J into J 10.548 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 10.548 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 10.548 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 10.548 * [taylor]: Taking taylor expansion of -1/2 in U 10.548 * [backup-simplify]: Simplify -1/2 into -1/2 10.548 * [taylor]: Taking taylor expansion of K in U 10.548 * [backup-simplify]: Simplify K into K 10.548 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.548 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.548 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.548 * [taylor]: Taking taylor expansion of U in U 10.548 * [backup-simplify]: Simplify 0 into 0 10.548 * [backup-simplify]: Simplify 1 into 1 10.548 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.548 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.548 * [backup-simplify]: Simplify (- 0) into 0 10.548 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.549 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 10.549 * [backup-simplify]: Simplify (+ 0) into 0 10.549 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.549 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.550 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.550 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.550 * [backup-simplify]: Simplify (- 0) into 0 10.550 * [backup-simplify]: Simplify (+ 0 0) into 0 10.551 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 10.551 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 10.551 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 10.551 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 10.551 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 10.551 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 10.551 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 10.552 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.552 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.552 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.553 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.553 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.553 * [backup-simplify]: Simplify (- 0) into 0 10.554 * [backup-simplify]: Simplify (+ 0 0) into 0 10.554 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 10.554 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 10.555 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 10.555 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.556 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.556 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.556 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.557 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.557 * [backup-simplify]: Simplify (- 0) into 0 10.557 * [backup-simplify]: Simplify (+ 0 0) into 0 10.557 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 10.558 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 10.558 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 10.558 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 10.558 * [backup-simplify]: Simplify (+ 0 0) into 0 10.558 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 10.558 * [taylor]: Taking taylor expansion of J in U 10.559 * [backup-simplify]: Simplify J into J 10.559 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.559 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.559 * [backup-simplify]: Simplify (- 0) into 0 10.559 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.559 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/2 J) 10.559 * [backup-simplify]: Simplify (/ (* 1/2 J) J) into 1/2 10.559 * [backup-simplify]: Simplify (* 2 1/2) into 1 10.559 * [taylor]: Taking taylor expansion of 1 in J 10.559 * [backup-simplify]: Simplify 1 into 1 10.560 * [backup-simplify]: Simplify (+ 0) into 0 10.560 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.560 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.561 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.561 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.561 * [backup-simplify]: Simplify (- 0) into 0 10.561 * [backup-simplify]: Simplify (+ 0 0) into 0 10.562 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 10.562 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)))) into 0 10.562 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0 10.562 * [taylor]: Taking taylor expansion of 0 in J 10.562 * [backup-simplify]: Simplify 0 into 0 10.562 * [taylor]: Taking taylor expansion of 1 in K 10.562 * [backup-simplify]: Simplify 1 into 1 10.562 * [backup-simplify]: Simplify 1 into 1 10.562 * [backup-simplify]: Simplify (* 1 1) into 1 10.563 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.563 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.564 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.564 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.565 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.565 * [backup-simplify]: Simplify (- 0) into 0 10.565 * [backup-simplify]: Simplify (+ 0 0) into 0 10.566 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 10.566 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 10.567 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 10.567 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.568 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.568 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.569 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.569 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.570 * [backup-simplify]: Simplify (- 0) into 0 10.570 * [backup-simplify]: Simplify (+ 0 0) into 0 10.570 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 10.570 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 10.571 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 10.571 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into 0 10.573 * [backup-simplify]: Simplify (+ 1 0) into 1 10.574 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 10.574 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.575 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.575 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.575 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.575 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.576 * [backup-simplify]: Simplify (- 0) into 0 10.576 * [backup-simplify]: Simplify (+ 0 0) into 0 10.577 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into (/ (pow (cos (/ -1/2 K)) 2) J) 10.577 * [backup-simplify]: Simplify (- (/ (/ (pow (cos (/ -1/2 K)) 2) J) J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 10.578 * [backup-simplify]: Simplify (+ (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 10.578 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J 10.578 * [taylor]: Taking taylor expansion of 2 in J 10.578 * [backup-simplify]: Simplify 2 into 2 10.578 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J 10.578 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 10.578 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 10.578 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 10.578 * [taylor]: Taking taylor expansion of -1/2 in J 10.578 * [backup-simplify]: Simplify -1/2 into -1/2 10.578 * [taylor]: Taking taylor expansion of K in J 10.578 * [backup-simplify]: Simplify K into K 10.578 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.578 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.578 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.578 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.578 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.579 * [backup-simplify]: Simplify (- 0) into 0 10.579 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.579 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.579 * [taylor]: Taking taylor expansion of J in J 10.579 * [backup-simplify]: Simplify 0 into 0 10.579 * [backup-simplify]: Simplify 1 into 1 10.579 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 10.579 * [backup-simplify]: Simplify (* 1 1) into 1 10.580 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 10.580 * [backup-simplify]: Simplify (+ 0) into 0 10.581 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.581 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.582 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.582 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.583 * [backup-simplify]: Simplify (- 0) into 0 10.583 * [backup-simplify]: Simplify (+ 0 0) into 0 10.583 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 10.584 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.585 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 10.585 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 10.585 * [taylor]: Taking taylor expansion of 0 in K 10.585 * [backup-simplify]: Simplify 0 into 0 10.585 * [backup-simplify]: Simplify 0 into 0 10.585 * [taylor]: Taking taylor expansion of 0 in K 10.585 * [backup-simplify]: Simplify 0 into 0 10.585 * [backup-simplify]: Simplify 0 into 0 10.585 * [taylor]: Taking taylor expansion of 0 in K 10.585 * [backup-simplify]: Simplify 0 into 0 10.585 * [backup-simplify]: Simplify 0 into 0 10.586 * [backup-simplify]: Simplify 0 into 0 10.586 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.589 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 10.590 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.590 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.591 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 10.592 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 10.592 * [backup-simplify]: Simplify (- 0) into 0 10.593 * [backup-simplify]: Simplify (+ 0 0) into 0 10.593 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 10.593 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 10.594 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K))))))) into 0 10.596 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 10.596 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.596 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.597 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 10.598 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 10.598 * [backup-simplify]: Simplify (- 0) into 0 10.598 * [backup-simplify]: Simplify (+ 0 0) into 0 10.599 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 10.599 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 10.600 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K))))))) into 0 10.600 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0 10.601 * [backup-simplify]: Simplify (+ 0 0) into 0 10.601 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 10.601 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.602 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.602 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.603 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.603 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.604 * [backup-simplify]: Simplify (- 0) into 0 10.604 * [backup-simplify]: Simplify (+ 0 0) into 0 10.604 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0 10.604 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* 1/2 (/ 0 J)) (* 0 (/ 0 J)) (* (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) (/ 0 J)))) into 0 10.605 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 10.605 * [taylor]: Taking taylor expansion of 0 in J 10.605 * [backup-simplify]: Simplify 0 into 0 10.606 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.606 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.606 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.607 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.607 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.607 * [backup-simplify]: Simplify (- 0) into 0 10.608 * [backup-simplify]: Simplify (+ 0 0) into 0 10.608 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 10.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.610 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.611 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0 10.611 * [taylor]: Taking taylor expansion of 0 in K 10.611 * [backup-simplify]: Simplify 0 into 0 10.611 * [backup-simplify]: Simplify 0 into 0 10.611 * [taylor]: Taking taylor expansion of 0 in K 10.611 * [backup-simplify]: Simplify 0 into 0 10.611 * [backup-simplify]: Simplify 0 into 0 10.612 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U) 10.612 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 10.612 * [backup-simplify]: Simplify (/ U (* (* 2 J) (cos (/ K 2)))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 10.612 * [approximate]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in (U J K) around 0 10.612 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 10.612 * [taylor]: Taking taylor expansion of 1/2 in K 10.612 * [backup-simplify]: Simplify 1/2 into 1/2 10.612 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 10.612 * [taylor]: Taking taylor expansion of U in K 10.612 * [backup-simplify]: Simplify U into U 10.612 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 10.612 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 10.612 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 10.612 * [taylor]: Taking taylor expansion of 1/2 in K 10.612 * [backup-simplify]: Simplify 1/2 into 1/2 10.612 * [taylor]: Taking taylor expansion of K in K 10.612 * [backup-simplify]: Simplify 0 into 0 10.612 * [backup-simplify]: Simplify 1 into 1 10.613 * [backup-simplify]: Simplify (* 1/2 0) into 0 10.613 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 10.613 * [taylor]: Taking taylor expansion of J in K 10.613 * [backup-simplify]: Simplify J into J 10.613 * [backup-simplify]: Simplify (* 1 J) into J 10.614 * [backup-simplify]: Simplify (/ U J) into (/ U J) 10.614 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 10.614 * [taylor]: Taking taylor expansion of 1/2 in J 10.614 * [backup-simplify]: Simplify 1/2 into 1/2 10.614 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 10.614 * [taylor]: Taking taylor expansion of U in J 10.614 * [backup-simplify]: Simplify U into U 10.614 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 10.614 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 10.614 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 10.614 * [taylor]: Taking taylor expansion of 1/2 in J 10.614 * [backup-simplify]: Simplify 1/2 into 1/2 10.614 * [taylor]: Taking taylor expansion of K in J 10.614 * [backup-simplify]: Simplify K into K 10.614 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.614 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.614 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.614 * [taylor]: Taking taylor expansion of J in J 10.614 * [backup-simplify]: Simplify 0 into 0 10.614 * [backup-simplify]: Simplify 1 into 1 10.614 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.614 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.615 * [backup-simplify]: Simplify (- 0) into 0 10.615 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.615 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 10.615 * [backup-simplify]: Simplify (+ 0) into 0 10.616 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 10.616 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 10.617 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.617 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 10.618 * [backup-simplify]: Simplify (- 0) into 0 10.618 * [backup-simplify]: Simplify (+ 0 0) into 0 10.619 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 10.619 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 10.619 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 10.619 * [taylor]: Taking taylor expansion of 1/2 in U 10.619 * [backup-simplify]: Simplify 1/2 into 1/2 10.619 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 10.619 * [taylor]: Taking taylor expansion of U in U 10.619 * [backup-simplify]: Simplify 0 into 0 10.619 * [backup-simplify]: Simplify 1 into 1 10.619 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 10.619 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 10.619 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 10.619 * [taylor]: Taking taylor expansion of 1/2 in U 10.619 * [backup-simplify]: Simplify 1/2 into 1/2 10.619 * [taylor]: Taking taylor expansion of K in U 10.619 * [backup-simplify]: Simplify K into K 10.619 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.619 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.619 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.619 * [taylor]: Taking taylor expansion of J in U 10.619 * [backup-simplify]: Simplify J into J 10.619 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.620 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.620 * [backup-simplify]: Simplify (- 0) into 0 10.620 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.620 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 10.620 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 10.620 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 10.620 * [taylor]: Taking taylor expansion of 1/2 in U 10.620 * [backup-simplify]: Simplify 1/2 into 1/2 10.620 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 10.620 * [taylor]: Taking taylor expansion of U in U 10.620 * [backup-simplify]: Simplify 0 into 0 10.620 * [backup-simplify]: Simplify 1 into 1 10.621 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 10.621 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 10.621 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 10.621 * [taylor]: Taking taylor expansion of 1/2 in U 10.621 * [backup-simplify]: Simplify 1/2 into 1/2 10.621 * [taylor]: Taking taylor expansion of K in U 10.621 * [backup-simplify]: Simplify K into K 10.621 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.621 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.621 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.621 * [taylor]: Taking taylor expansion of J in U 10.621 * [backup-simplify]: Simplify J into J 10.621 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.621 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.622 * [backup-simplify]: Simplify (- 0) into 0 10.622 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.622 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 10.622 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 10.622 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 10.622 * [taylor]: Taking taylor expansion of (/ 1/2 (* (cos (* 1/2 K)) J)) in J 10.622 * [taylor]: Taking taylor expansion of 1/2 in J 10.622 * [backup-simplify]: Simplify 1/2 into 1/2 10.622 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 10.622 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 10.622 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 10.622 * [taylor]: Taking taylor expansion of 1/2 in J 10.622 * [backup-simplify]: Simplify 1/2 into 1/2 10.622 * [taylor]: Taking taylor expansion of K in J 10.622 * [backup-simplify]: Simplify K into K 10.622 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.622 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.623 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.623 * [taylor]: Taking taylor expansion of J in J 10.623 * [backup-simplify]: Simplify 0 into 0 10.623 * [backup-simplify]: Simplify 1 into 1 10.623 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.623 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.624 * [backup-simplify]: Simplify (- 0) into 0 10.624 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.624 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 10.624 * [backup-simplify]: Simplify (+ 0) into 0 10.625 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 10.625 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 10.626 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.626 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 10.627 * [backup-simplify]: Simplify (- 0) into 0 10.627 * [backup-simplify]: Simplify (+ 0 0) into 0 10.627 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 10.628 * [backup-simplify]: Simplify (/ 1/2 (cos (* 1/2 K))) into (/ 1/2 (cos (* 1/2 K))) 10.628 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (* 1/2 K))) in K 10.628 * [taylor]: Taking taylor expansion of 1/2 in K 10.628 * [backup-simplify]: Simplify 1/2 into 1/2 10.628 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 10.628 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 10.628 * [taylor]: Taking taylor expansion of 1/2 in K 10.628 * [backup-simplify]: Simplify 1/2 into 1/2 10.628 * [taylor]: Taking taylor expansion of K in K 10.628 * [backup-simplify]: Simplify 0 into 0 10.628 * [backup-simplify]: Simplify 1 into 1 10.628 * [backup-simplify]: Simplify (* 1/2 0) into 0 10.629 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 10.629 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.629 * [backup-simplify]: Simplify 1/2 into 1/2 10.630 * [backup-simplify]: Simplify (+ 0) into 0 10.630 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 10.631 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 10.632 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.632 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 10.632 * [backup-simplify]: Simplify (- 0) into 0 10.633 * [backup-simplify]: Simplify (+ 0 0) into 0 10.633 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 10.633 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 10.634 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 10.634 * [taylor]: Taking taylor expansion of 0 in J 10.634 * [backup-simplify]: Simplify 0 into 0 10.635 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.635 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.636 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 10.637 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.638 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.638 * [backup-simplify]: Simplify (- 0) into 0 10.638 * [backup-simplify]: Simplify (+ 0 0) into 0 10.639 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 10.639 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 10.639 * [taylor]: Taking taylor expansion of 0 in K 10.639 * [backup-simplify]: Simplify 0 into 0 10.639 * [backup-simplify]: Simplify 0 into 0 10.640 * [backup-simplify]: Simplify (+ 0) into 0 10.641 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.641 * [backup-simplify]: Simplify 0 into 0 10.642 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.642 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.643 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 10.644 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.645 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.645 * [backup-simplify]: Simplify (- 0) into 0 10.645 * [backup-simplify]: Simplify (+ 0 0) into 0 10.646 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0 10.646 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))) (* 0 (/ 0 (* (cos (* 1/2 K)) J))))) into 0 10.647 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J))))) into 0 10.647 * [taylor]: Taking taylor expansion of 0 in J 10.647 * [backup-simplify]: Simplify 0 into 0 10.647 * [taylor]: Taking taylor expansion of 0 in K 10.647 * [backup-simplify]: Simplify 0 into 0 10.647 * [backup-simplify]: Simplify 0 into 0 10.648 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.649 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.650 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 10.652 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.652 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.653 * [backup-simplify]: Simplify (- 0) into 0 10.653 * [backup-simplify]: Simplify (+ 0 0) into 0 10.654 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 10.654 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0 10.654 * [taylor]: Taking taylor expansion of 0 in K 10.654 * [backup-simplify]: Simplify 0 into 0 10.654 * [backup-simplify]: Simplify 0 into 0 10.654 * [backup-simplify]: Simplify 0 into 0 10.655 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 10.657 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/16 10.657 * [backup-simplify]: Simplify 1/16 into 1/16 10.658 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.658 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.660 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 10.661 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.662 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.662 * [backup-simplify]: Simplify (- 0) into 0 10.663 * [backup-simplify]: Simplify (+ 0 0) into 0 10.663 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 10.664 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))) (* 0 (/ 0 (* (cos (* 1/2 K)) J))) (* 0 (/ 0 (* (cos (* 1/2 K)) J))))) into 0 10.665 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))))) into 0 10.665 * [taylor]: Taking taylor expansion of 0 in J 10.665 * [backup-simplify]: Simplify 0 into 0 10.665 * [taylor]: Taking taylor expansion of 0 in K 10.665 * [backup-simplify]: Simplify 0 into 0 10.665 * [backup-simplify]: Simplify 0 into 0 10.665 * [taylor]: Taking taylor expansion of 0 in K 10.665 * [backup-simplify]: Simplify 0 into 0 10.665 * [backup-simplify]: Simplify 0 into 0 10.668 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 10.669 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.670 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0 10.672 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 10.672 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 10.673 * [backup-simplify]: Simplify (- 0) into 0 10.673 * [backup-simplify]: Simplify (+ 0 0) into 0 10.673 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 10.674 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0 10.674 * [taylor]: Taking taylor expansion of 0 in K 10.674 * [backup-simplify]: Simplify 0 into 0 10.674 * [backup-simplify]: Simplify 0 into 0 10.674 * [backup-simplify]: Simplify 0 into 0 10.674 * [backup-simplify]: Simplify 0 into 0 10.674 * [backup-simplify]: Simplify 0 into 0 10.674 * [backup-simplify]: Simplify (+ (* 1/16 (* (pow K 2) (* (/ 1 J) U))) (* 1/2 (* 1 (* (/ 1 J) U)))) into (+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J))) 10.674 * [backup-simplify]: Simplify (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 10.674 * [approximate]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in (U J K) around 0 10.674 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 10.674 * [taylor]: Taking taylor expansion of 1/2 in K 10.674 * [backup-simplify]: Simplify 1/2 into 1/2 10.674 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 10.674 * [taylor]: Taking taylor expansion of J in K 10.674 * [backup-simplify]: Simplify J into J 10.674 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 10.674 * [taylor]: Taking taylor expansion of U in K 10.674 * [backup-simplify]: Simplify U into U 10.674 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 10.674 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 10.674 * [taylor]: Taking taylor expansion of 1/2 in K 10.674 * [backup-simplify]: Simplify 1/2 into 1/2 10.674 * [taylor]: Taking taylor expansion of K in K 10.674 * [backup-simplify]: Simplify 0 into 0 10.674 * [backup-simplify]: Simplify 1 into 1 10.675 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.675 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.675 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 10.675 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 10.675 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 10.675 * [taylor]: Taking taylor expansion of 1/2 in J 10.675 * [backup-simplify]: Simplify 1/2 into 1/2 10.675 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 10.675 * [taylor]: Taking taylor expansion of J in J 10.675 * [backup-simplify]: Simplify 0 into 0 10.675 * [backup-simplify]: Simplify 1 into 1 10.675 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 10.675 * [taylor]: Taking taylor expansion of U in J 10.675 * [backup-simplify]: Simplify U into U 10.675 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 10.675 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 10.675 * [taylor]: Taking taylor expansion of 1/2 in J 10.675 * [backup-simplify]: Simplify 1/2 into 1/2 10.675 * [taylor]: Taking taylor expansion of K in J 10.675 * [backup-simplify]: Simplify K into K 10.675 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.675 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.675 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.675 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.675 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.676 * [backup-simplify]: Simplify (- 0) into 0 10.676 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.676 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 10.676 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 10.676 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 10.676 * [taylor]: Taking taylor expansion of 1/2 in U 10.676 * [backup-simplify]: Simplify 1/2 into 1/2 10.676 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 10.676 * [taylor]: Taking taylor expansion of J in U 10.676 * [backup-simplify]: Simplify J into J 10.676 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 10.676 * [taylor]: Taking taylor expansion of U in U 10.676 * [backup-simplify]: Simplify 0 into 0 10.676 * [backup-simplify]: Simplify 1 into 1 10.676 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 10.676 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 10.676 * [taylor]: Taking taylor expansion of 1/2 in U 10.676 * [backup-simplify]: Simplify 1/2 into 1/2 10.676 * [taylor]: Taking taylor expansion of K in U 10.676 * [backup-simplify]: Simplify K into K 10.676 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.676 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.676 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.676 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.676 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.677 * [backup-simplify]: Simplify (- 0) into 0 10.677 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.677 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 10.677 * [backup-simplify]: Simplify (+ 0) into 0 10.677 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.677 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.678 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.678 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.678 * [backup-simplify]: Simplify (- 0) into 0 10.679 * [backup-simplify]: Simplify (+ 0 0) into 0 10.679 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 10.679 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 10.679 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 10.679 * [taylor]: Taking taylor expansion of 1/2 in U 10.679 * [backup-simplify]: Simplify 1/2 into 1/2 10.679 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 10.679 * [taylor]: Taking taylor expansion of J in U 10.679 * [backup-simplify]: Simplify J into J 10.679 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 10.679 * [taylor]: Taking taylor expansion of U in U 10.679 * [backup-simplify]: Simplify 0 into 0 10.679 * [backup-simplify]: Simplify 1 into 1 10.679 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 10.679 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 10.679 * [taylor]: Taking taylor expansion of 1/2 in U 10.679 * [backup-simplify]: Simplify 1/2 into 1/2 10.679 * [taylor]: Taking taylor expansion of K in U 10.679 * [backup-simplify]: Simplify K into K 10.679 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.679 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.679 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.679 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.679 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.680 * [backup-simplify]: Simplify (- 0) into 0 10.680 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.680 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 10.680 * [backup-simplify]: Simplify (+ 0) into 0 10.680 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.680 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.681 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.681 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.681 * [backup-simplify]: Simplify (- 0) into 0 10.682 * [backup-simplify]: Simplify (+ 0 0) into 0 10.682 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 10.682 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 10.682 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 10.682 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 10.682 * [taylor]: Taking taylor expansion of 1/2 in J 10.682 * [backup-simplify]: Simplify 1/2 into 1/2 10.682 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 10.682 * [taylor]: Taking taylor expansion of J in J 10.682 * [backup-simplify]: Simplify 0 into 0 10.682 * [backup-simplify]: Simplify 1 into 1 10.682 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 10.682 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 10.682 * [taylor]: Taking taylor expansion of 1/2 in J 10.682 * [backup-simplify]: Simplify 1/2 into 1/2 10.682 * [taylor]: Taking taylor expansion of K in J 10.682 * [backup-simplify]: Simplify K into K 10.682 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.682 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.682 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.683 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.683 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.683 * [backup-simplify]: Simplify (- 0) into 0 10.683 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.683 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 10.683 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 10.683 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K 10.683 * [taylor]: Taking taylor expansion of 1/2 in K 10.683 * [backup-simplify]: Simplify 1/2 into 1/2 10.683 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 10.683 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 10.683 * [taylor]: Taking taylor expansion of 1/2 in K 10.683 * [backup-simplify]: Simplify 1/2 into 1/2 10.683 * [taylor]: Taking taylor expansion of K in K 10.683 * [backup-simplify]: Simplify 0 into 0 10.683 * [backup-simplify]: Simplify 1 into 1 10.683 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.684 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.684 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 10.684 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 10.684 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.685 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.685 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.685 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.686 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.686 * [backup-simplify]: Simplify (- 0) into 0 10.686 * [backup-simplify]: Simplify (+ 0 0) into 0 10.687 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 10.687 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 10.687 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 10.687 * [taylor]: Taking taylor expansion of 0 in J 10.687 * [backup-simplify]: Simplify 0 into 0 10.687 * [taylor]: Taking taylor expansion of 0 in K 10.687 * [backup-simplify]: Simplify 0 into 0 10.687 * [backup-simplify]: Simplify 0 into 0 10.688 * [backup-simplify]: Simplify (+ 0) into 0 10.688 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.688 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.689 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.689 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.689 * [backup-simplify]: Simplify (- 0) into 0 10.690 * [backup-simplify]: Simplify (+ 0 0) into 0 10.690 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 10.690 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 10.690 * [taylor]: Taking taylor expansion of 0 in K 10.690 * [backup-simplify]: Simplify 0 into 0 10.690 * [backup-simplify]: Simplify 0 into 0 10.690 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 10.690 * [backup-simplify]: Simplify 0 into 0 10.692 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.693 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.693 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.694 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.694 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.695 * [backup-simplify]: Simplify (- 0) into 0 10.695 * [backup-simplify]: Simplify (+ 0 0) into 0 10.696 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 10.696 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 10.696 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 10.696 * [taylor]: Taking taylor expansion of 0 in J 10.696 * [backup-simplify]: Simplify 0 into 0 10.696 * [taylor]: Taking taylor expansion of 0 in K 10.697 * [backup-simplify]: Simplify 0 into 0 10.697 * [backup-simplify]: Simplify 0 into 0 10.697 * [taylor]: Taking taylor expansion of 0 in K 10.697 * [backup-simplify]: Simplify 0 into 0 10.697 * [backup-simplify]: Simplify 0 into 0 10.697 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.698 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.698 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.698 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.698 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.699 * [backup-simplify]: Simplify (- 0) into 0 10.699 * [backup-simplify]: Simplify (+ 0 0) into 0 10.699 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 10.700 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0 10.700 * [taylor]: Taking taylor expansion of 0 in K 10.700 * [backup-simplify]: Simplify 0 into 0 10.700 * [backup-simplify]: Simplify 0 into 0 10.700 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 10.700 * [backup-simplify]: Simplify (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 10.700 * [approximate]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in (U J K) around 0 10.700 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 10.700 * [taylor]: Taking taylor expansion of 1/2 in K 10.700 * [backup-simplify]: Simplify 1/2 into 1/2 10.700 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 10.700 * [taylor]: Taking taylor expansion of J in K 10.700 * [backup-simplify]: Simplify J into J 10.700 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 10.700 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 10.700 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 10.700 * [taylor]: Taking taylor expansion of -1/2 in K 10.700 * [backup-simplify]: Simplify -1/2 into -1/2 10.700 * [taylor]: Taking taylor expansion of K in K 10.700 * [backup-simplify]: Simplify 0 into 0 10.700 * [backup-simplify]: Simplify 1 into 1 10.701 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 10.701 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.701 * [taylor]: Taking taylor expansion of U in K 10.701 * [backup-simplify]: Simplify U into U 10.701 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 10.701 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 10.701 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 10.701 * [taylor]: Taking taylor expansion of 1/2 in J 10.701 * [backup-simplify]: Simplify 1/2 into 1/2 10.701 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 10.701 * [taylor]: Taking taylor expansion of J in J 10.701 * [backup-simplify]: Simplify 0 into 0 10.701 * [backup-simplify]: Simplify 1 into 1 10.701 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 10.701 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 10.701 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 10.701 * [taylor]: Taking taylor expansion of -1/2 in J 10.701 * [backup-simplify]: Simplify -1/2 into -1/2 10.701 * [taylor]: Taking taylor expansion of K in J 10.701 * [backup-simplify]: Simplify K into K 10.701 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.701 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.701 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.701 * [taylor]: Taking taylor expansion of U in J 10.701 * [backup-simplify]: Simplify U into U 10.701 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.701 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.702 * [backup-simplify]: Simplify (- 0) into 0 10.702 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.702 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 10.702 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 10.702 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 10.702 * [taylor]: Taking taylor expansion of 1/2 in U 10.702 * [backup-simplify]: Simplify 1/2 into 1/2 10.702 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 10.702 * [taylor]: Taking taylor expansion of J in U 10.702 * [backup-simplify]: Simplify J into J 10.702 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 10.702 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 10.702 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 10.702 * [taylor]: Taking taylor expansion of -1/2 in U 10.702 * [backup-simplify]: Simplify -1/2 into -1/2 10.702 * [taylor]: Taking taylor expansion of K in U 10.702 * [backup-simplify]: Simplify K into K 10.702 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.702 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.702 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.702 * [taylor]: Taking taylor expansion of U in U 10.702 * [backup-simplify]: Simplify 0 into 0 10.702 * [backup-simplify]: Simplify 1 into 1 10.702 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.702 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.702 * [backup-simplify]: Simplify (- 0) into 0 10.703 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.703 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 10.703 * [backup-simplify]: Simplify (+ 0) into 0 10.703 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.703 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.704 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.704 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.704 * [backup-simplify]: Simplify (- 0) into 0 10.704 * [backup-simplify]: Simplify (+ 0 0) into 0 10.705 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 10.705 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 10.705 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 10.705 * [taylor]: Taking taylor expansion of 1/2 in U 10.705 * [backup-simplify]: Simplify 1/2 into 1/2 10.705 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 10.705 * [taylor]: Taking taylor expansion of J in U 10.705 * [backup-simplify]: Simplify J into J 10.705 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 10.705 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 10.705 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 10.705 * [taylor]: Taking taylor expansion of -1/2 in U 10.705 * [backup-simplify]: Simplify -1/2 into -1/2 10.705 * [taylor]: Taking taylor expansion of K in U 10.705 * [backup-simplify]: Simplify K into K 10.705 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.705 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.705 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.705 * [taylor]: Taking taylor expansion of U in U 10.705 * [backup-simplify]: Simplify 0 into 0 10.705 * [backup-simplify]: Simplify 1 into 1 10.705 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.705 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.706 * [backup-simplify]: Simplify (- 0) into 0 10.706 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.706 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 10.706 * [backup-simplify]: Simplify (+ 0) into 0 10.706 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.706 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.707 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.707 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.707 * [backup-simplify]: Simplify (- 0) into 0 10.707 * [backup-simplify]: Simplify (+ 0 0) into 0 10.708 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 10.708 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 10.708 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 10.708 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 10.708 * [taylor]: Taking taylor expansion of 1/2 in J 10.708 * [backup-simplify]: Simplify 1/2 into 1/2 10.708 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 10.708 * [taylor]: Taking taylor expansion of J in J 10.708 * [backup-simplify]: Simplify 0 into 0 10.708 * [backup-simplify]: Simplify 1 into 1 10.708 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 10.708 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 10.708 * [taylor]: Taking taylor expansion of -1/2 in J 10.708 * [backup-simplify]: Simplify -1/2 into -1/2 10.708 * [taylor]: Taking taylor expansion of K in J 10.708 * [backup-simplify]: Simplify K into K 10.708 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.708 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.708 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.708 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.709 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.709 * [backup-simplify]: Simplify (- 0) into 0 10.709 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.709 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 10.709 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 10.709 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K 10.709 * [taylor]: Taking taylor expansion of 1/2 in K 10.709 * [backup-simplify]: Simplify 1/2 into 1/2 10.709 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 10.709 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 10.709 * [taylor]: Taking taylor expansion of -1/2 in K 10.709 * [backup-simplify]: Simplify -1/2 into -1/2 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 10.710 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 10.710 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.710 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 10.710 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 10.711 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.712 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.712 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.713 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.713 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.714 * [backup-simplify]: Simplify (- 0) into 0 10.714 * [backup-simplify]: Simplify (+ 0 0) into 0 10.715 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 10.715 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 10.716 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 10.716 * [taylor]: Taking taylor expansion of 0 in J 10.716 * [backup-simplify]: Simplify 0 into 0 10.716 * [taylor]: Taking taylor expansion of 0 in K 10.716 * [backup-simplify]: Simplify 0 into 0 10.716 * [backup-simplify]: Simplify 0 into 0 10.716 * [backup-simplify]: Simplify (+ 0) into 0 10.717 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.717 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.717 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.718 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.718 * [backup-simplify]: Simplify (- 0) into 0 10.719 * [backup-simplify]: Simplify (+ 0 0) into 0 10.719 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 10.719 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 10.719 * [taylor]: Taking taylor expansion of 0 in K 10.719 * [backup-simplify]: Simplify 0 into 0 10.719 * [backup-simplify]: Simplify 0 into 0 10.720 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 10.720 * [backup-simplify]: Simplify 0 into 0 10.721 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.721 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.722 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.723 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.724 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.724 * [backup-simplify]: Simplify (- 0) into 0 10.724 * [backup-simplify]: Simplify (+ 0 0) into 0 10.725 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 10.725 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 10.726 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 10.726 * [taylor]: Taking taylor expansion of 0 in J 10.726 * [backup-simplify]: Simplify 0 into 0 10.726 * [taylor]: Taking taylor expansion of 0 in K 10.726 * [backup-simplify]: Simplify 0 into 0 10.727 * [backup-simplify]: Simplify 0 into 0 10.727 * [taylor]: Taking taylor expansion of 0 in K 10.727 * [backup-simplify]: Simplify 0 into 0 10.727 * [backup-simplify]: Simplify 0 into 0 10.728 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.728 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.728 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.729 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.730 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.730 * [backup-simplify]: Simplify (- 0) into 0 10.730 * [backup-simplify]: Simplify (+ 0 0) into 0 10.731 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 10.732 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1/2 K)))))) into 0 10.732 * [taylor]: Taking taylor expansion of 0 in K 10.732 * [backup-simplify]: Simplify 0 into 0 10.732 * [backup-simplify]: Simplify 0 into 0 10.732 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 10.732 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 10.732 * [backup-simplify]: Simplify (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J))) into (* -2 (* (cos (* 1/2 K)) J)) 10.732 * [approximate]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in (K J) around 0 10.732 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J 10.733 * [taylor]: Taking taylor expansion of -2 in J 10.733 * [backup-simplify]: Simplify -2 into -2 10.733 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 10.733 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 10.733 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 10.733 * [taylor]: Taking taylor expansion of 1/2 in J 10.733 * [backup-simplify]: Simplify 1/2 into 1/2 10.733 * [taylor]: Taking taylor expansion of K in J 10.733 * [backup-simplify]: Simplify K into K 10.733 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.733 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.733 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.733 * [taylor]: Taking taylor expansion of J in J 10.733 * [backup-simplify]: Simplify 0 into 0 10.733 * [backup-simplify]: Simplify 1 into 1 10.733 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in K 10.733 * [taylor]: Taking taylor expansion of -2 in K 10.733 * [backup-simplify]: Simplify -2 into -2 10.733 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 10.733 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 10.733 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 10.733 * [taylor]: Taking taylor expansion of 1/2 in K 10.733 * [backup-simplify]: Simplify 1/2 into 1/2 10.733 * [taylor]: Taking taylor expansion of K in K 10.733 * [backup-simplify]: Simplify 0 into 0 10.733 * [backup-simplify]: Simplify 1 into 1 10.734 * [backup-simplify]: Simplify (* 1/2 0) into 0 10.734 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 10.734 * [taylor]: Taking taylor expansion of J in K 10.734 * [backup-simplify]: Simplify J into J 10.735 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in K 10.735 * [taylor]: Taking taylor expansion of -2 in K 10.735 * [backup-simplify]: Simplify -2 into -2 10.735 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 10.735 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 10.735 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 10.735 * [taylor]: Taking taylor expansion of 1/2 in K 10.735 * [backup-simplify]: Simplify 1/2 into 1/2 10.735 * [taylor]: Taking taylor expansion of K in K 10.735 * [backup-simplify]: Simplify 0 into 0 10.735 * [backup-simplify]: Simplify 1 into 1 10.735 * [backup-simplify]: Simplify (* 1/2 0) into 0 10.736 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 10.736 * [taylor]: Taking taylor expansion of J in K 10.736 * [backup-simplify]: Simplify J into J 10.736 * [backup-simplify]: Simplify (* 1 J) into J 10.736 * [backup-simplify]: Simplify (* -2 J) into (* -2 J) 10.736 * [taylor]: Taking taylor expansion of (* -2 J) in J 10.736 * [taylor]: Taking taylor expansion of -2 in J 10.736 * [backup-simplify]: Simplify -2 into -2 10.736 * [taylor]: Taking taylor expansion of J in J 10.736 * [backup-simplify]: Simplify 0 into 0 10.736 * [backup-simplify]: Simplify 1 into 1 10.737 * [backup-simplify]: Simplify (* -2 0) into 0 10.737 * [backup-simplify]: Simplify 0 into 0 10.737 * [backup-simplify]: Simplify (+ 0) into 0 10.738 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 10.738 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 J)) into 0 10.738 * [taylor]: Taking taylor expansion of 0 in J 10.738 * [backup-simplify]: Simplify 0 into 0 10.738 * [backup-simplify]: Simplify 0 into 0 10.739 * [backup-simplify]: Simplify (+ (* -2 1) (* 0 0)) into -2 10.739 * [backup-simplify]: Simplify -2 into -2 10.740 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 10.741 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J)) 10.741 * [backup-simplify]: Simplify (+ (* -2 (- (* 1/8 J))) (+ (* 0 0) (* 0 J))) into (* 1/4 J) 10.741 * [taylor]: Taking taylor expansion of (* 1/4 J) in J 10.741 * [taylor]: Taking taylor expansion of 1/4 in J 10.741 * [backup-simplify]: Simplify 1/4 into 1/4 10.741 * [taylor]: Taking taylor expansion of J in J 10.741 * [backup-simplify]: Simplify 0 into 0 10.741 * [backup-simplify]: Simplify 1 into 1 10.742 * [backup-simplify]: Simplify (* 1/4 0) into 0 10.742 * [backup-simplify]: Simplify 0 into 0 10.742 * [backup-simplify]: Simplify 0 into 0 10.743 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0 10.743 * [backup-simplify]: Simplify 0 into 0 10.744 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 10.745 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.746 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0 10.747 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (- (* 1/8 J))) (+ (* 0 0) (* 0 J)))) into 0 10.747 * [taylor]: Taking taylor expansion of 0 in J 10.747 * [backup-simplify]: Simplify 0 into 0 10.747 * [backup-simplify]: Simplify 0 into 0 10.748 * [backup-simplify]: Simplify (+ (* 1/4 1) (* 0 0)) into 1/4 10.748 * [backup-simplify]: Simplify 1/4 into 1/4 10.748 * [backup-simplify]: Simplify 0 into 0 10.749 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 10.749 * [backup-simplify]: Simplify 0 into 0 10.751 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 10.754 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 10.756 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (+ (* 0 0) (* 1/384 J))))) into (* 1/384 J) 10.757 * [backup-simplify]: Simplify (+ (* -2 (* 1/384 J)) (+ (* 0 0) (+ (* 0 (- (* 1/8 J))) (+ (* 0 0) (* 0 J))))) into (- (* 1/192 J)) 10.757 * [taylor]: Taking taylor expansion of (- (* 1/192 J)) in J 10.757 * [taylor]: Taking taylor expansion of (* 1/192 J) in J 10.757 * [taylor]: Taking taylor expansion of 1/192 in J 10.757 * [backup-simplify]: Simplify 1/192 into 1/192 10.757 * [taylor]: Taking taylor expansion of J in J 10.757 * [backup-simplify]: Simplify 0 into 0 10.757 * [backup-simplify]: Simplify 1 into 1 10.757 * [backup-simplify]: Simplify (* 1/192 0) into 0 10.758 * [backup-simplify]: Simplify (- 0) into 0 10.758 * [backup-simplify]: Simplify 0 into 0 10.758 * [backup-simplify]: Simplify 0 into 0 10.759 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 1) (* 0 0))) into 0 10.759 * [backup-simplify]: Simplify 0 into 0 10.759 * [backup-simplify]: Simplify 0 into 0 10.759 * [backup-simplify]: Simplify (+ (* 1/4 (* J (pow K 2))) (* -2 (* J 1))) into (- (* 1/4 (* (pow K 2) J)) (* 2 J)) 10.759 * [backup-simplify]: Simplify (* (sqrt (cos (/ (/ 1 K) 2))) (* (sqrt (cos (/ (/ 1 K) 2))) (* -2 (/ 1 J)))) into (* -2 (/ (cos (/ 1/2 K)) J)) 10.759 * [approximate]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in (K J) around 0 10.760 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in J 10.760 * [taylor]: Taking taylor expansion of -2 in J 10.760 * [backup-simplify]: Simplify -2 into -2 10.760 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 10.760 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 10.760 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 10.760 * [taylor]: Taking taylor expansion of 1/2 in J 10.760 * [backup-simplify]: Simplify 1/2 into 1/2 10.760 * [taylor]: Taking taylor expansion of K in J 10.760 * [backup-simplify]: Simplify K into K 10.760 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.760 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.760 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.760 * [taylor]: Taking taylor expansion of J in J 10.760 * [backup-simplify]: Simplify 0 into 0 10.760 * [backup-simplify]: Simplify 1 into 1 10.760 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.760 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.761 * [backup-simplify]: Simplify (- 0) into 0 10.761 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.761 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.761 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in K 10.761 * [taylor]: Taking taylor expansion of -2 in K 10.761 * [backup-simplify]: Simplify -2 into -2 10.761 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 10.761 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 10.761 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 10.761 * [taylor]: Taking taylor expansion of 1/2 in K 10.761 * [backup-simplify]: Simplify 1/2 into 1/2 10.761 * [taylor]: Taking taylor expansion of K in K 10.761 * [backup-simplify]: Simplify 0 into 0 10.761 * [backup-simplify]: Simplify 1 into 1 10.762 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.762 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.762 * [taylor]: Taking taylor expansion of J in K 10.762 * [backup-simplify]: Simplify J into J 10.762 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 10.762 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in K 10.762 * [taylor]: Taking taylor expansion of -2 in K 10.762 * [backup-simplify]: Simplify -2 into -2 10.762 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 10.762 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 10.762 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 10.762 * [taylor]: Taking taylor expansion of 1/2 in K 10.762 * [backup-simplify]: Simplify 1/2 into 1/2 10.762 * [taylor]: Taking taylor expansion of K in K 10.762 * [backup-simplify]: Simplify 0 into 0 10.762 * [backup-simplify]: Simplify 1 into 1 10.762 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.763 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.763 * [taylor]: Taking taylor expansion of J in K 10.763 * [backup-simplify]: Simplify J into J 10.763 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 10.763 * [backup-simplify]: Simplify (* -2 (/ (cos (/ 1/2 K)) J)) into (* -2 (/ (cos (/ 1/2 K)) J)) 10.763 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in J 10.763 * [taylor]: Taking taylor expansion of -2 in J 10.763 * [backup-simplify]: Simplify -2 into -2 10.763 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 10.763 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 10.763 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 10.763 * [taylor]: Taking taylor expansion of 1/2 in J 10.763 * [backup-simplify]: Simplify 1/2 into 1/2 10.763 * [taylor]: Taking taylor expansion of K in J 10.763 * [backup-simplify]: Simplify K into K 10.763 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.763 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.763 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.763 * [taylor]: Taking taylor expansion of J in J 10.763 * [backup-simplify]: Simplify 0 into 0 10.763 * [backup-simplify]: Simplify 1 into 1 10.764 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.764 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.764 * [backup-simplify]: Simplify (- 0) into 0 10.764 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.764 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.764 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 10.764 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 10.765 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 10.765 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (/ (cos (/ 1/2 K)) J))) into 0 10.765 * [taylor]: Taking taylor expansion of 0 in J 10.765 * [backup-simplify]: Simplify 0 into 0 10.766 * [backup-simplify]: Simplify (+ 0) into 0 10.766 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.766 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.767 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.767 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.768 * [backup-simplify]: Simplify (- 0) into 0 10.768 * [backup-simplify]: Simplify (+ 0 0) into 0 10.769 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 10.770 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 10.770 * [backup-simplify]: Simplify 0 into 0 10.770 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 10.771 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (/ (cos (/ 1/2 K)) J)))) into 0 10.771 * [taylor]: Taking taylor expansion of 0 in J 10.771 * [backup-simplify]: Simplify 0 into 0 10.771 * [backup-simplify]: Simplify 0 into 0 10.772 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.773 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.773 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.774 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.774 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.774 * [backup-simplify]: Simplify (- 0) into 0 10.775 * [backup-simplify]: Simplify (+ 0 0) into 0 10.776 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.777 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 10.777 * [backup-simplify]: Simplify 0 into 0 10.778 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 10.779 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ 1/2 K)) J))))) into 0 10.779 * [taylor]: Taking taylor expansion of 0 in J 10.779 * [backup-simplify]: Simplify 0 into 0 10.779 * [backup-simplify]: Simplify 0 into 0 10.779 * [backup-simplify]: Simplify 0 into 0 10.780 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.781 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.781 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.783 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.784 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.784 * [backup-simplify]: Simplify (- 0) into 0 10.784 * [backup-simplify]: Simplify (+ 0 0) into 0 10.786 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.787 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 10.788 * [backup-simplify]: Simplify 0 into 0 10.788 * [backup-simplify]: Simplify (* (* -2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 (/ 1 J)) 1)) into (* -2 (* (cos (* 1/2 K)) J)) 10.788 * [backup-simplify]: Simplify (* (sqrt (cos (/ (/ 1 (- K)) 2))) (* (sqrt (cos (/ (/ 1 (- K)) 2))) (* -2 (/ 1 (- J))))) into (* 2 (/ (cos (/ -1/2 K)) J)) 10.788 * [approximate]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in (K J) around 0 10.788 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in J 10.788 * [taylor]: Taking taylor expansion of 2 in J 10.788 * [backup-simplify]: Simplify 2 into 2 10.788 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 10.788 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 10.788 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 10.788 * [taylor]: Taking taylor expansion of -1/2 in J 10.788 * [backup-simplify]: Simplify -1/2 into -1/2 10.788 * [taylor]: Taking taylor expansion of K in J 10.788 * [backup-simplify]: Simplify K into K 10.788 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.789 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.789 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.789 * [taylor]: Taking taylor expansion of J in J 10.789 * [backup-simplify]: Simplify 0 into 0 10.789 * [backup-simplify]: Simplify 1 into 1 10.789 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.789 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.789 * [backup-simplify]: Simplify (- 0) into 0 10.789 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.789 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.789 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in K 10.790 * [taylor]: Taking taylor expansion of 2 in K 10.790 * [backup-simplify]: Simplify 2 into 2 10.790 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 10.790 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 10.790 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 10.790 * [taylor]: Taking taylor expansion of -1/2 in K 10.790 * [backup-simplify]: Simplify -1/2 into -1/2 10.790 * [taylor]: Taking taylor expansion of K in K 10.790 * [backup-simplify]: Simplify 0 into 0 10.790 * [backup-simplify]: Simplify 1 into 1 10.790 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 10.790 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.790 * [taylor]: Taking taylor expansion of J in K 10.790 * [backup-simplify]: Simplify J into J 10.790 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 10.790 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in K 10.790 * [taylor]: Taking taylor expansion of 2 in K 10.791 * [backup-simplify]: Simplify 2 into 2 10.791 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 10.791 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 10.791 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 10.791 * [taylor]: Taking taylor expansion of -1/2 in K 10.791 * [backup-simplify]: Simplify -1/2 into -1/2 10.791 * [taylor]: Taking taylor expansion of K in K 10.791 * [backup-simplify]: Simplify 0 into 0 10.791 * [backup-simplify]: Simplify 1 into 1 10.791 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 10.791 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.791 * [taylor]: Taking taylor expansion of J in K 10.791 * [backup-simplify]: Simplify J into J 10.791 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 10.792 * [backup-simplify]: Simplify (* 2 (/ (cos (/ -1/2 K)) J)) into (* 2 (/ (cos (/ -1/2 K)) J)) 10.792 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in J 10.792 * [taylor]: Taking taylor expansion of 2 in J 10.792 * [backup-simplify]: Simplify 2 into 2 10.792 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 10.792 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 10.792 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 10.792 * [taylor]: Taking taylor expansion of -1/2 in J 10.792 * [backup-simplify]: Simplify -1/2 into -1/2 10.792 * [taylor]: Taking taylor expansion of K in J 10.792 * [backup-simplify]: Simplify K into K 10.792 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.792 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.792 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.792 * [taylor]: Taking taylor expansion of J in J 10.792 * [backup-simplify]: Simplify 0 into 0 10.792 * [backup-simplify]: Simplify 1 into 1 10.792 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.792 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.793 * [backup-simplify]: Simplify (- 0) into 0 10.793 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.793 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.793 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 10.793 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 10.793 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0 10.794 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (cos (/ -1/2 K)) J))) into 0 10.794 * [taylor]: Taking taylor expansion of 0 in J 10.794 * [backup-simplify]: Simplify 0 into 0 10.794 * [backup-simplify]: Simplify (+ 0) into 0 10.795 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.795 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.796 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.796 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.797 * [backup-simplify]: Simplify (- 0) into 0 10.797 * [backup-simplify]: Simplify (+ 0 0) into 0 10.798 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 10.798 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 10.798 * [backup-simplify]: Simplify 0 into 0 10.799 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 10.800 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (cos (/ -1/2 K)) J)))) into 0 10.800 * [taylor]: Taking taylor expansion of 0 in J 10.800 * [backup-simplify]: Simplify 0 into 0 10.800 * [backup-simplify]: Simplify 0 into 0 10.801 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.801 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.802 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.802 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.803 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.803 * [backup-simplify]: Simplify (- 0) into 0 10.804 * [backup-simplify]: Simplify (+ 0 0) into 0 10.805 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.806 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 10.806 * [backup-simplify]: Simplify 0 into 0 10.807 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 10.808 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ -1/2 K)) J))))) into 0 10.808 * [taylor]: Taking taylor expansion of 0 in J 10.808 * [backup-simplify]: Simplify 0 into 0 10.808 * [backup-simplify]: Simplify 0 into 0 10.808 * [backup-simplify]: Simplify 0 into 0 10.809 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.810 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.810 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.811 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.812 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.813 * [backup-simplify]: Simplify (- 0) into 0 10.813 * [backup-simplify]: Simplify (+ 0 0) into 0 10.815 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.816 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 10.816 * [backup-simplify]: Simplify 0 into 0 10.817 * [backup-simplify]: Simplify (* (* 2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (/ 1 (- J))) 1)) into (* -2 (* (cos (* 1/2 K)) J)) 10.817 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2) 10.817 * [backup-simplify]: Simplify (* (* 2 J) (cos (/ K 2))) into (* 2 (* (cos (* 1/2 K)) J)) 10.817 * [approximate]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in (J K) around 0 10.817 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in K 10.817 * [taylor]: Taking taylor expansion of 2 in K 10.817 * [backup-simplify]: Simplify 2 into 2 10.817 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 10.817 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 10.817 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 10.817 * [taylor]: Taking taylor expansion of 1/2 in K 10.817 * [backup-simplify]: Simplify 1/2 into 1/2 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 10.818 * [backup-simplify]: Simplify (* 1/2 0) into 0 10.818 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 10.818 * [taylor]: Taking taylor expansion of J in K 10.818 * [backup-simplify]: Simplify J into J 10.818 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in J 10.818 * [taylor]: Taking taylor expansion of 2 in J 10.818 * [backup-simplify]: Simplify 2 into 2 10.818 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 10.818 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 10.818 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 10.819 * [taylor]: Taking taylor expansion of 1/2 in J 10.819 * [backup-simplify]: Simplify 1/2 into 1/2 10.819 * [taylor]: Taking taylor expansion of K in J 10.819 * [backup-simplify]: Simplify K into K 10.819 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.819 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.819 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.819 * [taylor]: Taking taylor expansion of J in J 10.819 * [backup-simplify]: Simplify 0 into 0 10.819 * [backup-simplify]: Simplify 1 into 1 10.819 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in J 10.819 * [taylor]: Taking taylor expansion of 2 in J 10.819 * [backup-simplify]: Simplify 2 into 2 10.819 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 10.819 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 10.819 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 10.819 * [taylor]: Taking taylor expansion of 1/2 in J 10.819 * [backup-simplify]: Simplify 1/2 into 1/2 10.819 * [taylor]: Taking taylor expansion of K in J 10.819 * [backup-simplify]: Simplify K into K 10.819 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.819 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.819 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.819 * [taylor]: Taking taylor expansion of J in J 10.819 * [backup-simplify]: Simplify 0 into 0 10.819 * [backup-simplify]: Simplify 1 into 1 10.819 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.820 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.820 * [backup-simplify]: Simplify (- 0) into 0 10.820 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.820 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 10.821 * [backup-simplify]: Simplify (* 2 0) into 0 10.821 * [taylor]: Taking taylor expansion of 0 in K 10.821 * [backup-simplify]: Simplify 0 into 0 10.821 * [backup-simplify]: Simplify 0 into 0 10.821 * [backup-simplify]: Simplify (+ 0) into 0 10.822 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 10.822 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 10.823 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.823 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 10.824 * [backup-simplify]: Simplify (- 0) into 0 10.824 * [backup-simplify]: Simplify (+ 0 0) into 0 10.824 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 10.825 * [backup-simplify]: Simplify (+ (* 2 (cos (* 1/2 K))) (* 0 0)) into (* 2 (cos (* 1/2 K))) 10.825 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K 10.825 * [taylor]: Taking taylor expansion of 2 in K 10.825 * [backup-simplify]: Simplify 2 into 2 10.825 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 10.825 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 10.825 * [taylor]: Taking taylor expansion of 1/2 in K 10.825 * [backup-simplify]: Simplify 1/2 into 1/2 10.825 * [taylor]: Taking taylor expansion of K in K 10.825 * [backup-simplify]: Simplify 0 into 0 10.825 * [backup-simplify]: Simplify 1 into 1 10.825 * [backup-simplify]: Simplify (* 1/2 0) into 0 10.827 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 10.827 * [backup-simplify]: Simplify (* 2 1) into 2 10.827 * [backup-simplify]: Simplify 2 into 2 10.827 * [backup-simplify]: Simplify 0 into 0 10.828 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.828 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.829 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 10.829 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.830 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.830 * [backup-simplify]: Simplify (- 0) into 0 10.830 * [backup-simplify]: Simplify (+ 0 0) into 0 10.830 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 10.831 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0 10.831 * [taylor]: Taking taylor expansion of 0 in K 10.831 * [backup-simplify]: Simplify 0 into 0 10.831 * [backup-simplify]: Simplify 0 into 0 10.831 * [backup-simplify]: Simplify (+ 0) into 0 10.832 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 10.832 * [backup-simplify]: Simplify 0 into 0 10.832 * [backup-simplify]: Simplify 0 into 0 10.832 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.833 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.834 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 10.834 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.835 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.835 * [backup-simplify]: Simplify (- 0) into 0 10.835 * [backup-simplify]: Simplify (+ 0 0) into 0 10.836 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 10.836 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0)))) into 0 10.837 * [taylor]: Taking taylor expansion of 0 in K 10.837 * [backup-simplify]: Simplify 0 into 0 10.837 * [backup-simplify]: Simplify 0 into 0 10.837 * [backup-simplify]: Simplify 0 into 0 10.837 * [backup-simplify]: Simplify (* 2 (* 1 J)) into (* 2 J) 10.837 * [backup-simplify]: Simplify (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) into (* 2 (/ (cos (/ 1/2 K)) J)) 10.837 * [approximate]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in (J K) around 0 10.837 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in K 10.837 * [taylor]: Taking taylor expansion of 2 in K 10.837 * [backup-simplify]: Simplify 2 into 2 10.837 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 10.837 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 10.837 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 10.837 * [taylor]: Taking taylor expansion of 1/2 in K 10.837 * [backup-simplify]: Simplify 1/2 into 1/2 10.837 * [taylor]: Taking taylor expansion of K in K 10.837 * [backup-simplify]: Simplify 0 into 0 10.837 * [backup-simplify]: Simplify 1 into 1 10.837 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.837 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.837 * [taylor]: Taking taylor expansion of J in K 10.837 * [backup-simplify]: Simplify J into J 10.837 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 10.837 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in J 10.837 * [taylor]: Taking taylor expansion of 2 in J 10.837 * [backup-simplify]: Simplify 2 into 2 10.837 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 10.837 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 10.837 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 10.837 * [taylor]: Taking taylor expansion of 1/2 in J 10.838 * [backup-simplify]: Simplify 1/2 into 1/2 10.838 * [taylor]: Taking taylor expansion of K in J 10.838 * [backup-simplify]: Simplify K into K 10.838 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.838 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.838 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.838 * [taylor]: Taking taylor expansion of J in J 10.838 * [backup-simplify]: Simplify 0 into 0 10.838 * [backup-simplify]: Simplify 1 into 1 10.838 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.838 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.838 * [backup-simplify]: Simplify (- 0) into 0 10.838 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.838 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.838 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in J 10.838 * [taylor]: Taking taylor expansion of 2 in J 10.838 * [backup-simplify]: Simplify 2 into 2 10.838 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 10.838 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 10.838 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 10.838 * [taylor]: Taking taylor expansion of 1/2 in J 10.838 * [backup-simplify]: Simplify 1/2 into 1/2 10.838 * [taylor]: Taking taylor expansion of K in J 10.838 * [backup-simplify]: Simplify K into K 10.838 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.838 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.838 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.838 * [taylor]: Taking taylor expansion of J in J 10.838 * [backup-simplify]: Simplify 0 into 0 10.839 * [backup-simplify]: Simplify 1 into 1 10.839 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.839 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.839 * [backup-simplify]: Simplify (- 0) into 0 10.839 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.839 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.839 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) 10.839 * [taylor]: Taking taylor expansion of (* 2 (cos (/ 1/2 K))) in K 10.839 * [taylor]: Taking taylor expansion of 2 in K 10.839 * [backup-simplify]: Simplify 2 into 2 10.839 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 10.839 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 10.839 * [taylor]: Taking taylor expansion of 1/2 in K 10.839 * [backup-simplify]: Simplify 1/2 into 1/2 10.839 * [taylor]: Taking taylor expansion of K in K 10.839 * [backup-simplify]: Simplify 0 into 0 10.839 * [backup-simplify]: Simplify 1 into 1 10.840 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.840 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.840 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) 10.840 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) 10.840 * [backup-simplify]: Simplify (+ 0) into 0 10.840 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.841 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.841 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.841 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.842 * [backup-simplify]: Simplify (- 0) into 0 10.842 * [backup-simplify]: Simplify (+ 0 0) into 0 10.842 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 10.843 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0 10.843 * [taylor]: Taking taylor expansion of 0 in K 10.843 * [backup-simplify]: Simplify 0 into 0 10.843 * [backup-simplify]: Simplify 0 into 0 10.843 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0 10.843 * [backup-simplify]: Simplify 0 into 0 10.844 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.844 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.844 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.845 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.845 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.845 * [backup-simplify]: Simplify (- 0) into 0 10.845 * [backup-simplify]: Simplify (+ 0 0) into 0 10.846 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.847 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 10.847 * [taylor]: Taking taylor expansion of 0 in K 10.847 * [backup-simplify]: Simplify 0 into 0 10.847 * [backup-simplify]: Simplify 0 into 0 10.847 * [backup-simplify]: Simplify 0 into 0 10.847 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 10.847 * [backup-simplify]: Simplify 0 into 0 10.848 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.848 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.849 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.849 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.850 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.850 * [backup-simplify]: Simplify (- 0) into 0 10.850 * [backup-simplify]: Simplify (+ 0 0) into 0 10.851 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.852 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 10.852 * [taylor]: Taking taylor expansion of 0 in K 10.852 * [backup-simplify]: Simplify 0 into 0 10.852 * [backup-simplify]: Simplify 0 into 0 10.852 * [backup-simplify]: Simplify (* (* 2 (cos (/ 1/2 (/ 1 K)))) (* 1 (/ 1 (/ 1 J)))) into (* 2 (* (cos (* 1/2 K)) J)) 10.852 * [backup-simplify]: Simplify (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) into (* -2 (/ (cos (/ -1/2 K)) J)) 10.852 * [approximate]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in (J K) around 0 10.852 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in K 10.852 * [taylor]: Taking taylor expansion of -2 in K 10.853 * [backup-simplify]: Simplify -2 into -2 10.853 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 10.853 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 10.853 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 10.853 * [taylor]: Taking taylor expansion of -1/2 in K 10.853 * [backup-simplify]: Simplify -1/2 into -1/2 10.853 * [taylor]: Taking taylor expansion of K in K 10.853 * [backup-simplify]: Simplify 0 into 0 10.853 * [backup-simplify]: Simplify 1 into 1 10.853 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 10.853 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.853 * [taylor]: Taking taylor expansion of J in K 10.853 * [backup-simplify]: Simplify J into J 10.853 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 10.853 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in J 10.853 * [taylor]: Taking taylor expansion of -2 in J 10.853 * [backup-simplify]: Simplify -2 into -2 10.853 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 10.853 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 10.853 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 10.853 * [taylor]: Taking taylor expansion of -1/2 in J 10.853 * [backup-simplify]: Simplify -1/2 into -1/2 10.853 * [taylor]: Taking taylor expansion of K in J 10.853 * [backup-simplify]: Simplify K into K 10.853 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.853 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.853 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.853 * [taylor]: Taking taylor expansion of J in J 10.853 * [backup-simplify]: Simplify 0 into 0 10.853 * [backup-simplify]: Simplify 1 into 1 10.853 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.854 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.854 * [backup-simplify]: Simplify (- 0) into 0 10.854 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.854 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.854 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in J 10.854 * [taylor]: Taking taylor expansion of -2 in J 10.854 * [backup-simplify]: Simplify -2 into -2 10.854 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 10.854 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 10.854 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 10.854 * [taylor]: Taking taylor expansion of -1/2 in J 10.854 * [backup-simplify]: Simplify -1/2 into -1/2 10.854 * [taylor]: Taking taylor expansion of K in J 10.854 * [backup-simplify]: Simplify K into K 10.854 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.854 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.854 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.854 * [taylor]: Taking taylor expansion of J in J 10.854 * [backup-simplify]: Simplify 0 into 0 10.854 * [backup-simplify]: Simplify 1 into 1 10.854 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.854 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.855 * [backup-simplify]: Simplify (- 0) into 0 10.855 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.855 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.855 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) 10.855 * [taylor]: Taking taylor expansion of (* -2 (cos (/ -1/2 K))) in K 10.855 * [taylor]: Taking taylor expansion of -2 in K 10.855 * [backup-simplify]: Simplify -2 into -2 10.855 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 10.855 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 10.855 * [taylor]: Taking taylor expansion of -1/2 in K 10.855 * [backup-simplify]: Simplify -1/2 into -1/2 10.855 * [taylor]: Taking taylor expansion of K in K 10.855 * [backup-simplify]: Simplify 0 into 0 10.855 * [backup-simplify]: Simplify 1 into 1 10.855 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 10.855 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.855 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) 10.855 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) 10.856 * [backup-simplify]: Simplify (+ 0) into 0 10.856 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.856 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.857 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.857 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.857 * [backup-simplify]: Simplify (- 0) into 0 10.858 * [backup-simplify]: Simplify (+ 0 0) into 0 10.859 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 10.859 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0 10.859 * [taylor]: Taking taylor expansion of 0 in K 10.859 * [backup-simplify]: Simplify 0 into 0 10.859 * [backup-simplify]: Simplify 0 into 0 10.860 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0 10.860 * [backup-simplify]: Simplify 0 into 0 10.861 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.861 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.862 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.863 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.863 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.864 * [backup-simplify]: Simplify (- 0) into 0 10.864 * [backup-simplify]: Simplify (+ 0 0) into 0 10.865 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.866 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 10.866 * [taylor]: Taking taylor expansion of 0 in K 10.866 * [backup-simplify]: Simplify 0 into 0 10.866 * [backup-simplify]: Simplify 0 into 0 10.866 * [backup-simplify]: Simplify 0 into 0 10.867 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 10.867 * [backup-simplify]: Simplify 0 into 0 10.868 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.869 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.869 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.871 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.871 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.872 * [backup-simplify]: Simplify (- 0) into 0 10.872 * [backup-simplify]: Simplify (+ 0 0) into 0 10.874 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.875 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 10.875 * [taylor]: Taking taylor expansion of 0 in K 10.875 * [backup-simplify]: Simplify 0 into 0 10.875 * [backup-simplify]: Simplify 0 into 0 10.876 * [backup-simplify]: Simplify (* (* -2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (/ 1 (/ 1 (- J))))) into (* 2 (* (cos (* 1/2 K)) J)) 10.876 * * * [progress]: simplifying candidates 10.876 * * * * [progress]: [ 1 / 113 ] simplifiying candidate # 10.876 * * * * [progress]: [ 2 / 113 ] simplifiying candidate # 10.876 * * * * [progress]: [ 3 / 113 ] simplifiying candidate # 10.876 * * * * [progress]: [ 4 / 113 ] simplifiying candidate # 10.876 * * * * [progress]: [ 5 / 113 ] simplifiying candidate # 10.876 * * * * [progress]: [ 6 / 113 ] simplifiying candidate # 10.876 * * * * [progress]: [ 7 / 113 ] simplifiying candidate # 10.876 * * * * [progress]: [ 8 / 113 ] simplifiying candidate # 10.876 * * * * [progress]: [ 9 / 113 ] simplifiying candidate # 10.876 * * * * [progress]: [ 10 / 113 ] simplifiying candidate # 10.876 * * * * [progress]: [ 11 / 113 ] simplifiying candidate # 10.877 * * * * [progress]: [ 12 / 113 ] simplifiying candidate # 10.877 * * * * [progress]: [ 13 / 113 ] simplifiying candidate # 10.877 * * * * [progress]: [ 14 / 113 ] simplifiying candidate # 10.877 * * * * [progress]: [ 15 / 113 ] simplifiying candidate # 10.877 * * * * [progress]: [ 16 / 113 ] simplifiying candidate # 10.877 * * * * [progress]: [ 17 / 113 ] simplifiying candidate # 10.877 * * * * [progress]: [ 18 / 113 ] simplifiying candidate # 10.877 * * * * [progress]: [ 19 / 113 ] simplifiying candidate # 10.877 * * * * [progress]: [ 20 / 113 ] simplifiying candidate # 10.877 * * * * [progress]: [ 21 / 113 ] simplifiying candidate # 10.877 * * * * [progress]: [ 22 / 113 ] simplifiying candidate # 10.877 * * * * [progress]: [ 23 / 113 ] simplifiying candidate # 10.877 * * * * [progress]: [ 24 / 113 ] simplifiying candidate # 10.878 * * * * [progress]: [ 25 / 113 ] simplifiying candidate # 10.878 * * * * [progress]: [ 26 / 113 ] simplifiying candidate #real (real->posit16 (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J)))))))> 10.878 * * * * [progress]: [ 27 / 113 ] simplifiying candidate # 10.878 * * * * [progress]: [ 28 / 113 ] simplifiying candidate # 10.878 * * * * [progress]: [ 29 / 113 ] simplifiying candidate # 10.878 * * * * [progress]: [ 30 / 113 ] simplifiying candidate # 10.878 * * * * [progress]: [ 31 / 113 ] simplifiying candidate # 10.878 * * * * [progress]: [ 32 / 113 ] simplifiying candidate # 10.878 * * * * [progress]: [ 33 / 113 ] simplifiying candidate # 10.878 * * * * [progress]: [ 34 / 113 ] simplifiying candidate # 10.878 * * * * [progress]: [ 35 / 113 ] simplifiying candidate # 10.878 * * * * [progress]: [ 36 / 113 ] simplifiying candidate # 10.878 * * * * [progress]: [ 37 / 113 ] simplifiying candidate # 10.878 * * * * [progress]: [ 38 / 113 ] simplifiying candidate # 10.878 * * * * [progress]: [ 39 / 113 ] simplifiying candidate # 10.879 * * * * [progress]: [ 40 / 113 ] simplifiying candidate # 10.879 * * * * [progress]: [ 41 / 113 ] simplifiying candidate # 10.879 * * * * [progress]: [ 42 / 113 ] simplifiying candidate # 10.879 * * * * [progress]: [ 43 / 113 ] simplifiying candidate # 10.879 * * * * [progress]: [ 44 / 113 ] simplifiying candidate # 10.879 * * * * [progress]: [ 45 / 113 ] simplifiying candidate # 10.879 * * * * [progress]: [ 46 / 113 ] simplifiying candidate # 10.879 * * * * [progress]: [ 47 / 113 ] simplifiying candidate # 10.879 * * * * [progress]: [ 48 / 113 ] simplifiying candidate # 10.879 * * * * [progress]: [ 49 / 113 ] simplifiying candidate # 10.879 * * * * [progress]: [ 50 / 113 ] simplifiying candidate # 10.879 * * * * [progress]: [ 51 / 113 ] simplifiying candidate # 10.879 * * * * [progress]: [ 52 / 113 ] simplifiying candidate # 10.879 * * * * [progress]: [ 53 / 113 ] simplifiying candidate #real (real->posit16 (/ U (* (* 2 J) (cos (/ K 2))))))) (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J)))))> 10.879 * * * * [progress]: [ 54 / 113 ] simplifiying candidate # 10.880 * * * * [progress]: [ 55 / 113 ] simplifiying candidate # 10.880 * * * * [progress]: [ 56 / 113 ] simplifiying candidate # 10.880 * * * * [progress]: [ 57 / 113 ] simplifiying candidate # 10.880 * * * * [progress]: [ 58 / 113 ] simplifiying candidate # 10.880 * * * * [progress]: [ 59 / 113 ] simplifiying candidate # 10.880 * * * * [progress]: [ 60 / 113 ] simplifiying candidate # 10.880 * * * * [progress]: [ 61 / 113 ] simplifiying candidate # 10.880 * * * * [progress]: [ 62 / 113 ] simplifiying candidate # 10.880 * * * * [progress]: [ 63 / 113 ] simplifiying candidate # 10.880 * * * * [progress]: [ 64 / 113 ] simplifiying candidate # 10.880 * * * * [progress]: [ 65 / 113 ] simplifiying candidate # 10.880 * * * * [progress]: [ 66 / 113 ] simplifiying candidate # 10.880 * * * * [progress]: [ 67 / 113 ] simplifiying candidate # 10.880 * * * * [progress]: [ 68 / 113 ] simplifiying candidate # 10.881 * * * * [progress]: [ 69 / 113 ] simplifiying candidate # 10.881 * * * * [progress]: [ 70 / 113 ] simplifiying candidate # 10.881 * * * * [progress]: [ 71 / 113 ] simplifiying candidate # 10.881 * * * * [progress]: [ 72 / 113 ] simplifiying candidate # 10.881 * * * * [progress]: [ 73 / 113 ] simplifiying candidate # 10.881 * * * * [progress]: [ 74 / 113 ] simplifiying candidate # 10.881 * * * * [progress]: [ 75 / 113 ] simplifiying candidate # 10.881 * * * * [progress]: [ 76 / 113 ] simplifiying candidate # 10.881 * * * * [progress]: [ 77 / 113 ] simplifiying candidate # 10.881 * * * * [progress]: [ 78 / 113 ] simplifiying candidate # 10.881 * * * * [progress]: [ 79 / 113 ] simplifiying candidate #real (real->posit16 (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J)))))))> 10.881 * * * * [progress]: [ 80 / 113 ] simplifiying candidate # 10.881 * * * * [progress]: [ 81 / 113 ] simplifiying candidate # 10.881 * * * * [progress]: [ 82 / 113 ] simplifiying candidate # 10.881 * * * * [progress]: [ 83 / 113 ] simplifiying candidate # 10.882 * * * * [progress]: [ 84 / 113 ] simplifiying candidate # 10.882 * * * * [progress]: [ 85 / 113 ] simplifiying candidate # 10.882 * * * * [progress]: [ 86 / 113 ] simplifiying candidate # 10.882 * * * * [progress]: [ 87 / 113 ] simplifiying candidate # 10.882 * * * * [progress]: [ 88 / 113 ] simplifiying candidate # 10.882 * * * * [progress]: [ 89 / 113 ] simplifiying candidate # 10.882 * * * * [progress]: [ 90 / 113 ] simplifiying candidate # 10.882 * * * * [progress]: [ 91 / 113 ] simplifiying candidate # 10.882 * * * * [progress]: [ 92 / 113 ] simplifiying candidate # 10.882 * * * * [progress]: [ 93 / 113 ] simplifiying candidate # 10.882 * * * * [progress]: [ 94 / 113 ] simplifiying candidate # 10.882 * * * * [progress]: [ 95 / 113 ] simplifiying candidate # 10.882 * * * * [progress]: [ 96 / 113 ] simplifiying candidate # 10.882 * * * * [progress]: [ 97 / 113 ] simplifiying candidate # 10.883 * * * * [progress]: [ 98 / 113 ] simplifiying candidate # 10.883 * * * * [progress]: [ 99 / 113 ] simplifiying candidate # 10.883 * * * * [progress]: [ 100 / 113 ] simplifiying candidate #real (real->posit16 (* (* 2 J) (cos (/ K 2))))))) (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J)))))> 10.883 * * * * [progress]: [ 101 / 113 ] simplifiying candidate # 10.883 * * * * [progress]: [ 102 / 113 ] simplifiying candidate # 10.883 * * * * [progress]: [ 103 / 113 ] simplifiying candidate # 10.883 * * * * [progress]: [ 104 / 113 ] simplifiying candidate # 10.883 * * * * [progress]: [ 105 / 113 ] simplifiying candidate # 10.883 * * * * [progress]: [ 106 / 113 ] simplifiying candidate # 10.883 * * * * [progress]: [ 107 / 113 ] simplifiying candidate # 10.883 * * * * [progress]: [ 108 / 113 ] simplifiying candidate # 10.883 * * * * [progress]: [ 109 / 113 ] simplifiying candidate # 10.883 * * * * [progress]: [ 110 / 113 ] simplifiying candidate # 10.883 * * * * [progress]: [ 111 / 113 ] simplifiying candidate # 10.883 * * * * [progress]: [ 112 / 113 ] simplifiying candidate # 10.883 * * * * [progress]: [ 113 / 113 ] simplifiying candidate # 10.885 * [simplify]: Simplifying: (expm1 (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J))))) (log1p (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J))))) (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J)))) (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J)))) (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J)))) (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J)))) (+ (log (hypot 1 (/ U (* (* 2 J) (cos (/ K 2)))))) (+ (log (sqrt (cos (/ K 2)))) (+ (log (sqrt (cos (/ K 2)))) (+ (log -2) (log J))))) (+ (log (hypot 1 (/ U (* (* 2 J) (cos (/ K 2)))))) (+ (log (sqrt (cos (/ K 2)))) (+ (log (sqrt (cos (/ K 2)))) (log (* -2 J))))) (+ (log (hypot 1 (/ U (* (* 2 J) (cos (/ K 2)))))) (+ (log (sqrt (cos (/ K 2)))) (log (* (sqrt (cos (/ K 2))) (* -2 J))))) (+ (log (hypot 1 (/ U (* (* 2 J) (cos (/ K 2)))))) (log (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J))))) (log (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J))))) (exp (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J))))) (* (* (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (hypot 1 (/ U (* (* 2 J) (cos (/ K 2)))))) (hypot 1 (/ U (* (* 2 J) (cos (/ K 2)))))) (* (* (* (sqrt (cos (/ K 2))) (sqrt (cos (/ K 2)))) (sqrt (cos (/ K 2)))) (* (* (* (sqrt (cos (/ K 2))) (sqrt (cos (/ K 2)))) (sqrt (cos (/ K 2)))) (* (* (* -2 -2) -2) (* (* J J) J))))) (* (* (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (hypot 1 (/ U (* (* 2 J) (cos (/ K 2)))))) (hypot 1 (/ U (* (* 2 J) (cos (/ K 2)))))) (* (* (* (sqrt (cos (/ K 2))) (sqrt (cos (/ K 2)))) (sqrt (cos (/ K 2)))) (* (* (* (sqrt (cos (/ K 2))) (sqrt (cos (/ K 2)))) (sqrt (cos (/ K 2)))) (* (* (* -2 J) (* -2 J)) (* -2 J))))) (* (* (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (hypot 1 (/ U (* (* 2 J) (cos (/ K 2)))))) (hypot 1 (/ U (* (* 2 J) (cos (/ K 2)))))) (* (* (* (sqrt (cos (/ K 2))) (sqrt (cos (/ K 2)))) (sqrt (cos (/ K 2)))) (* (* (* (sqrt (cos (/ K 2))) (* -2 J)) (* (sqrt (cos (/ K 2))) (* -2 J))) (* (sqrt (cos (/ K 2))) (* -2 J))))) (* (* (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (hypot 1 (/ U (* (* 2 J) (cos (/ K 2)))))) (hypot 1 (/ U (* (* 2 J) (cos (/ K 2)))))) (* (* (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J))) (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J)))) (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J))))) (* (cbrt (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J))))) (cbrt (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J)))))) (cbrt (* (hypot 1 (/ U (* (* 2 J) (cos (/ K 2))))) (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (* -2 J))))) (* (* (* (hypot 1 (/ U (* (* 2 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J)) (* 2 J)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (cbrt (* (* 2 J) (cos (/ K 2)))) (cbrt (* (* 2 J) (cos (/ K 2))))) (cbrt (* (* 2 J) (cos (/ K 2)))) (* (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2)))) (* (* 2 J) (cos (/ K 2)))) (sqrt (* (* 2 J) (cos (/ K 2)))) (sqrt (* (* 2 J) (cos (/ K 2)))) (* (* 2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* 2 J) (sqrt (cos (/ K 2)))) (* (* 2 J) 1) (* J (cos (/ K 2))) (real->posit16 (* (* 2 J) (cos (/ K 2)))) (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) (* -1 U) (* -1 U) (+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (- (* 1/4 (* (pow K 2) J)) (* 2 J)) (* -2 (* (cos (* 1/2 K)) J)) (* -2 (* (cos (* 1/2 K)) J)) (* 2 J) (* 2 (* (cos (* 1/2 K)) J)) (* 2 (* (cos (* 1/2 K)) J)) 10.890 * * [simplify]: iteration 0: 179 enodes 10.972 * * [simplify]: iteration 1: 476 enodes 11.250 * * [simplify]: iteration 2: 1866 enodes 11.694 * * [simplify]: iteration 3: 2006 enodes 12.189 * * [simplify]: iteration complete: 2006 enodes 12.189 * * [simplify]: Extracting #0: cost 76 inf + 0 12.191 * * [simplify]: Extracting #1: cost 505 inf + 0 12.195 * * [simplify]: Extracting #2: cost 709 inf + 4013 12.217 * * [simplify]: Extracting #3: cost 573 inf + 22326 12.235 * * [simplify]: Extracting #4: cost 435 inf + 46001 12.279 * * [simplify]: Extracting #5: cost 119 inf + 144050 12.317 * * [simplify]: Extracting #6: cost 7 inf + 185984 12.372 * * [simplify]: Extracting #7: cost 0 inf + 188858 12.426 * [simplify]: Simplified to: (expm1 (* (hypot 1 (/ U (* (cos (/ K 2)) (* 2 J)))) (* (cos (/ K 2)) (* -2 J)))) (log1p (* (hypot 1 (/ U (* (cos (/ K 2)) (* 2 J)))) (* (cos (/ K 2)) (* -2 J)))) (* (hypot 1 (/ U (* (cos (/ K 2)) (* 2 J)))) (* (cos (/ K 2)) (* -2 J))) (* (hypot 1 (/ U (* (cos (/ K 2)) (* 2 J)))) (* (cos (/ K 2)) (* -2 J))) (* (hypot 1 (/ U (* (cos (/ K 2)) (* 2 J)))) (* (cos (/ K 2)) (* -2 J))) (* (hypot 1 (/ U (* (cos (/ K 2)) (* 2 J)))) (* (cos 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(cos (/ K 2)))) (log (* 2 (* J (cos (/ K 2))))) (log (* 2 (* J (cos (/ K 2))))) (log (* 2 (* J (cos (/ K 2))))) (exp (* 2 (* J (cos (/ K 2))))) (* (* (* (* 8 J) (* J J)) (cos (/ K 2))) (* (cos (/ K 2)) (cos (/ K 2)))) (* (cos (/ K 2)) (* (* (* (* (* 2 J) (* (* 2 J) 2)) J) (cos (/ K 2))) (cos (/ K 2)))) (* (cbrt (* 2 (* J (cos (/ K 2))))) (cbrt (* 2 (* J (cos (/ K 2)))))) (cbrt (* 2 (* J (cos (/ K 2))))) (* (* (* 2 (* J (cos (/ K 2)))) (* 2 (* J (cos (/ K 2))))) (* 2 (* J (cos (/ K 2))))) (sqrt (* 2 (* J (cos (/ K 2))))) (sqrt (* 2 (* J (cos (/ K 2))))) (* (* 2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* 2 (* J (sqrt (cos (/ K 2))))) (* 2 J) (* J (cos (/ K 2))) (real->posit16 (* 2 (* J (cos (/ K 2))))) (fma -2 J (* (/ (* U U) J) -1/4)) (- U) (- U) (fma (/ U J) 1/2 (/ (* 1/16 (* K K)) (/ J U))) (/ (* 1/2 U) (* J (cos (* 1/2 K)))) (/ (* 1/2 U) (* J (cos (* 1/2 K)))) (fma 1/4 (* (* K K) J) (* -2 J)) (* (cos (* 1/2 K)) (* J -2)) (* (cos (* 1/2 K)) (* J -2)) (* 2 J) (* (cos (* 1/2 K)) (* J 2)) (* (cos (* 1/2 K)) (* J 2)) 12.441 * * * [progress]: adding candidates to table 13.036 * [progress]: [Phase 3 of 3] Extracting. 13.036 * * [regime]: Finding splitpoints for: (# # # # # # # #) 13.038 * * * [regime-changes]: Trying 5 branch expressions: ((/ K 2) (cos (/ K 2)) U K J) 13.039 * * * * [regimes]: Trying to branch on (/ K 2) from (# # # # # # # #) 13.129 * * * * [regimes]: Trying to branch on (cos (/ K 2)) from (# # # # # # # #) 13.229 * * * * [regimes]: Trying to branch on U from (# # # # # # # #) 13.332 * * * * [regimes]: Trying to branch on K from (# # # # # # # #) 13.409 * * * * [regimes]: Trying to branch on J from (# # # # # # # #) 13.491 * * * [regime]: Found split indices: #