0.002 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.198 * * * [progress]: [2/2] Setting up program. 0.206 * [progress]: [Phase 2 of 3] Improving. 0.206 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.206 * [simplify]: Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 0.206 * * [simplify]: iters left: 6 (17 enodes) 0.216 * * [simplify]: iters left: 5 (70 enodes) 0.264 * * [simplify]: iters left: 4 (126 enodes) 0.304 * * [simplify]: iters left: 3 (281 enodes) 0.424 * * [simplify]: Extracting #0: cost 1 inf + 0 0.424 * * [simplify]: Extracting #1: cost 16 inf + 0 0.424 * * [simplify]: Extracting #2: cost 28 inf + 2 0.425 * * [simplify]: Extracting #3: cost 32 inf + 86 0.425 * * [simplify]: Extracting #4: cost 96 inf + 131 0.427 * * [simplify]: Extracting #5: cost 194 inf + 1852 0.436 * * [simplify]: Extracting #6: cost 83 inf + 25392 0.455 * * [simplify]: Extracting #7: cost 12 inf + 46431 0.477 * * [simplify]: Extracting #8: cost 1 inf + 50227 0.503 * * [simplify]: Extracting #9: cost 0 inf + 50662 0.517 * [simplify]: Simplified to (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)) 0.517 * [simplify]: Simplified (2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) 0.525 * * [progress]: iteration 1 / 4 0.525 * * * [progress]: picking best candidate 0.528 * * * * [pick]: Picked # 0.529 * * * [progress]: localizing error 0.574 * * * [progress]: generating rewritten candidates 0.574 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 0.773 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.114 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 1.236 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.250 * * * [progress]: generating series expansions 1.250 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 1.251 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) 1.251 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U K J) around 0 1.251 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 1.251 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 1.251 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 1.251 * [taylor]: Taking taylor expansion of 1/4 in J 1.251 * [backup-simplify]: Simplify 1/4 into 1/4 1.251 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 1.251 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.251 * [taylor]: Taking taylor expansion of U in J 1.251 * [backup-simplify]: Simplify U into U 1.251 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 1.251 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 1.251 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.251 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.251 * [taylor]: Taking taylor expansion of 1/2 in J 1.251 * [backup-simplify]: Simplify 1/2 into 1/2 1.251 * [taylor]: Taking taylor expansion of K in J 1.251 * [backup-simplify]: Simplify K into K 1.251 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.251 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.251 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.251 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.251 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.252 * [backup-simplify]: Simplify (- 0) into 0 1.252 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.252 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.252 * [taylor]: Taking taylor expansion of J in J 1.252 * [backup-simplify]: Simplify 0 into 0 1.252 * [backup-simplify]: Simplify 1 into 1 1.252 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.252 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.253 * [backup-simplify]: Simplify (* 1 1) into 1 1.253 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 1.253 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 1.253 * [taylor]: Taking taylor expansion of 1 in J 1.253 * [backup-simplify]: Simplify 1 into 1 1.253 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 1.253 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 1.253 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 1.253 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.254 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.254 * [backup-simplify]: Simplify (+ 0) into 0 1.254 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.254 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.255 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.255 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.255 * [backup-simplify]: Simplify (- 0) into 0 1.256 * [backup-simplify]: Simplify (+ 0 0) into 0 1.256 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 1.256 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 1.256 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 1.257 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 1.257 * [backup-simplify]: Simplify (+ 0 0) into 0 1.257 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 1.257 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 1.257 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 1.257 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 1.257 * [taylor]: Taking taylor expansion of 1/4 in K 1.257 * [backup-simplify]: Simplify 1/4 into 1/4 1.257 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 1.257 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.257 * [taylor]: Taking taylor expansion of U in K 1.257 * [backup-simplify]: Simplify U into U 1.257 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 1.257 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 1.257 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.257 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.257 * [taylor]: Taking taylor expansion of 1/2 in K 1.257 * [backup-simplify]: Simplify 1/2 into 1/2 1.257 * [taylor]: Taking taylor expansion of K in K 1.257 * [backup-simplify]: Simplify 0 into 0 1.257 * [backup-simplify]: Simplify 1 into 1 1.258 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.258 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.258 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.258 * [taylor]: Taking taylor expansion of J in K 1.258 * [backup-simplify]: Simplify J into J 1.258 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.259 * [backup-simplify]: Simplify (* 1 1) into 1 1.259 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.259 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 1.259 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 1.259 * [taylor]: Taking taylor expansion of 1 in K 1.259 * [backup-simplify]: Simplify 1 into 1 1.259 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 1.259 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1.259 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 1.259 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.259 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.260 * [backup-simplify]: Simplify (+ 0) into 0 1.260 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.260 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 1.260 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 1.261 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 1.261 * [backup-simplify]: Simplify (+ 0 0) into 0 1.261 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 1.261 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 1.261 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 1.261 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 1.261 * [taylor]: Taking taylor expansion of 1/4 in U 1.261 * [backup-simplify]: Simplify 1/4 into 1/4 1.261 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 1.261 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.261 * [taylor]: Taking taylor expansion of U in U 1.261 * [backup-simplify]: Simplify 0 into 0 1.261 * [backup-simplify]: Simplify 1 into 1 1.261 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 1.261 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 1.261 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.261 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.261 * [taylor]: Taking taylor expansion of 1/2 in U 1.261 * [backup-simplify]: Simplify 1/2 into 1/2 1.261 * [taylor]: Taking taylor expansion of K in U 1.261 * [backup-simplify]: Simplify K into K 1.261 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.261 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.261 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.262 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.262 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.262 * [backup-simplify]: Simplify (- 0) into 0 1.262 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.262 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.262 * [taylor]: Taking taylor expansion of J in U 1.262 * [backup-simplify]: Simplify J into J 1.262 * [backup-simplify]: Simplify (* 1 1) into 1 1.262 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.262 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.262 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 1.263 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.263 * [taylor]: Taking taylor expansion of 1 in U 1.263 * [backup-simplify]: Simplify 1 into 1 1.263 * [backup-simplify]: Simplify (+ 0 1) into 1 1.263 * [backup-simplify]: Simplify (sqrt 1) into 1 1.263 * [backup-simplify]: Simplify (+ 0 0) into 0 1.264 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.264 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 1.264 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 1.264 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 1.264 * [taylor]: Taking taylor expansion of 1/4 in U 1.264 * [backup-simplify]: Simplify 1/4 into 1/4 1.264 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 1.264 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.264 * [taylor]: Taking taylor expansion of U in U 1.264 * [backup-simplify]: Simplify 0 into 0 1.264 * [backup-simplify]: Simplify 1 into 1 1.264 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 1.264 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 1.264 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.264 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.264 * [taylor]: Taking taylor expansion of 1/2 in U 1.264 * [backup-simplify]: Simplify 1/2 into 1/2 1.264 * [taylor]: Taking taylor expansion of K in U 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 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.264 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.265 * [backup-simplify]: Simplify (- 0) into 0 1.265 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.265 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.265 * [taylor]: Taking taylor expansion of J in U 1.265 * [backup-simplify]: Simplify J into J 1.265 * [backup-simplify]: Simplify (* 1 1) into 1 1.265 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.265 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.265 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 1.265 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.265 * [taylor]: Taking taylor expansion of 1 in U 1.265 * [backup-simplify]: Simplify 1 into 1 1.266 * [backup-simplify]: Simplify (+ 0 1) into 1 1.266 * [backup-simplify]: Simplify (sqrt 1) into 1 1.266 * [backup-simplify]: Simplify (+ 0 0) into 0 1.266 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.267 * [taylor]: Taking taylor expansion of 1 in K 1.267 * [backup-simplify]: Simplify 1 into 1 1.267 * [taylor]: Taking taylor expansion of 1 in J 1.267 * [backup-simplify]: Simplify 1 into 1 1.267 * [taylor]: Taking taylor expansion of 0 in K 1.267 * [backup-simplify]: Simplify 0 into 0 1.267 * [taylor]: Taking taylor expansion of 0 in J 1.267 * [backup-simplify]: Simplify 0 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 1 into 1 1.267 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.267 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1.268 * [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))) 1.268 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 1.268 * [taylor]: Taking taylor expansion of 1/8 in K 1.268 * [backup-simplify]: Simplify 1/8 into 1/8 1.268 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 1.268 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 1.268 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.268 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.268 * [taylor]: Taking taylor expansion of 1/2 in K 1.268 * [backup-simplify]: Simplify 1/2 into 1/2 1.268 * [taylor]: Taking taylor expansion of K in K 1.268 * [backup-simplify]: Simplify 0 into 0 1.268 * [backup-simplify]: Simplify 1 into 1 1.268 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.269 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.269 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.269 * [taylor]: Taking taylor expansion of J in K 1.269 * [backup-simplify]: Simplify J into J 1.269 * [backup-simplify]: Simplify (* 1 1) into 1 1.269 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.269 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 1.269 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2)) 1.269 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J 1.269 * [taylor]: Taking taylor expansion of 1/8 in J 1.269 * [backup-simplify]: Simplify 1/8 into 1/8 1.269 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.269 * [taylor]: Taking taylor expansion of J in J 1.269 * [backup-simplify]: Simplify 0 into 0 1.269 * [backup-simplify]: Simplify 1 into 1 1.270 * [backup-simplify]: Simplify (* 1 1) into 1 1.270 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 1.270 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.271 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 1.271 * [backup-simplify]: Simplify 0 into 0 1.271 * [taylor]: Taking taylor expansion of 0 in J 1.271 * [backup-simplify]: Simplify 0 into 0 1.271 * [taylor]: Taking taylor expansion of 0 in J 1.271 * [backup-simplify]: Simplify 0 into 0 1.271 * [backup-simplify]: Simplify 0 into 0 1.271 * [backup-simplify]: Simplify 0 into 0 1.271 * [backup-simplify]: Simplify 0 into 0 1.272 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.272 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.272 * [backup-simplify]: Simplify (+ 0) into 0 1.272 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.273 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.273 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.273 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.273 * [backup-simplify]: Simplify (- 0) into 0 1.274 * [backup-simplify]: Simplify (+ 0 0) into 0 1.274 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 1.274 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 1.274 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 1.275 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 1.275 * [backup-simplify]: Simplify (+ 0 0) into 0 1.275 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 1.275 * [taylor]: Taking taylor expansion of 0 in K 1.275 * [backup-simplify]: Simplify 0 into 0 1.275 * [taylor]: Taking taylor expansion of 0 in J 1.275 * [backup-simplify]: Simplify 0 into 0 1.275 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.276 * [backup-simplify]: Simplify (+ 0) into 0 1.276 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.276 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 1.276 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0 1.276 * [taylor]: Taking taylor expansion of 0 in J 1.276 * [backup-simplify]: Simplify 0 into 0 1.276 * [taylor]: Taking taylor expansion of 0 in J 1.276 * [backup-simplify]: Simplify 0 into 0 1.276 * [taylor]: Taking taylor expansion of 0 in J 1.277 * [backup-simplify]: Simplify 0 into 0 1.277 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.278 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.278 * [backup-simplify]: Simplify 0 into 0 1.278 * [backup-simplify]: Simplify 0 into 0 1.278 * [backup-simplify]: Simplify 1 into 1 1.278 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 1.278 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U K J) around 0 1.278 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 1.278 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 1.278 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 1.278 * [taylor]: Taking taylor expansion of 1/4 in J 1.278 * [backup-simplify]: Simplify 1/4 into 1/4 1.278 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 1.278 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.278 * [taylor]: Taking taylor expansion of J in J 1.278 * [backup-simplify]: Simplify 0 into 0 1.278 * [backup-simplify]: Simplify 1 into 1 1.278 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 1.278 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.278 * [taylor]: Taking taylor expansion of U in J 1.278 * [backup-simplify]: Simplify U into U 1.278 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 1.278 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.278 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.278 * [taylor]: Taking taylor expansion of 1/2 in J 1.278 * [backup-simplify]: Simplify 1/2 into 1/2 1.278 * [taylor]: Taking taylor expansion of K in J 1.278 * [backup-simplify]: Simplify K into K 1.278 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.278 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.278 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.279 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.279 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.279 * [backup-simplify]: Simplify (- 0) into 0 1.279 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.279 * [backup-simplify]: Simplify (* 1 1) into 1 1.279 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.279 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.279 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 1.279 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 1.279 * [taylor]: Taking taylor expansion of 1 in J 1.279 * [backup-simplify]: Simplify 1 into 1 1.280 * [backup-simplify]: Simplify (+ 0 1) into 1 1.280 * [backup-simplify]: Simplify (sqrt 1) into 1 1.280 * [backup-simplify]: Simplify (+ 0 0) into 0 1.281 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.281 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 1.281 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 1.281 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 1.281 * [taylor]: Taking taylor expansion of 1/4 in K 1.281 * [backup-simplify]: Simplify 1/4 into 1/4 1.281 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 1.281 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.281 * [taylor]: Taking taylor expansion of J in K 1.281 * [backup-simplify]: Simplify J into J 1.281 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 1.281 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.281 * [taylor]: Taking taylor expansion of U in K 1.281 * [backup-simplify]: Simplify U into U 1.281 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 1.281 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.281 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.281 * [taylor]: Taking taylor expansion of 1/2 in K 1.281 * [backup-simplify]: Simplify 1/2 into 1/2 1.281 * [taylor]: Taking taylor expansion of K in K 1.281 * [backup-simplify]: Simplify 0 into 0 1.281 * [backup-simplify]: Simplify 1 into 1 1.281 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.281 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.281 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.281 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.281 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.282 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 1.282 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 1.282 * [taylor]: Taking taylor expansion of 1 in K 1.282 * [backup-simplify]: Simplify 1 into 1 1.282 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1.282 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1.282 * [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)) 1.282 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.282 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.282 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.283 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.283 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.283 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 1.284 * [backup-simplify]: Simplify (+ 0 0) into 0 1.284 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 1.284 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 1.284 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 1.284 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 1.284 * [taylor]: Taking taylor expansion of 1/4 in U 1.284 * [backup-simplify]: Simplify 1/4 into 1/4 1.284 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 1.284 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.284 * [taylor]: Taking taylor expansion of J in U 1.284 * [backup-simplify]: Simplify J into J 1.284 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 1.284 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.284 * [taylor]: Taking taylor expansion of U in U 1.284 * [backup-simplify]: Simplify 0 into 0 1.284 * [backup-simplify]: Simplify 1 into 1 1.284 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 1.284 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.284 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.284 * [taylor]: Taking taylor expansion of 1/2 in U 1.284 * [backup-simplify]: Simplify 1/2 into 1/2 1.284 * [taylor]: Taking taylor expansion of K in U 1.284 * [backup-simplify]: Simplify K into K 1.285 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.285 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.285 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.285 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.285 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.285 * [backup-simplify]: Simplify (- 0) into 0 1.285 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.285 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.286 * [backup-simplify]: Simplify (* 1 1) into 1 1.286 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.286 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 1.286 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 1.286 * [taylor]: Taking taylor expansion of 1 in U 1.286 * [backup-simplify]: Simplify 1 into 1 1.286 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1.287 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1.287 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.287 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.287 * [backup-simplify]: Simplify (+ 0) into 0 1.288 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.288 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.289 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.289 * [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 (cos (/ 1/2 K)))) into 0 1.291 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.291 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.292 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 1.292 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 1.293 * [backup-simplify]: Simplify (+ 0 0) into 0 1.293 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.293 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 1.293 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 1.293 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 1.293 * [taylor]: Taking taylor expansion of 1/4 in U 1.293 * [backup-simplify]: Simplify 1/4 into 1/4 1.293 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 1.293 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.293 * [taylor]: Taking taylor expansion of J in U 1.293 * [backup-simplify]: Simplify J into J 1.293 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 1.293 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.293 * [taylor]: Taking taylor expansion of U in U 1.293 * [backup-simplify]: Simplify 0 into 0 1.293 * [backup-simplify]: Simplify 1 into 1 1.294 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 1.294 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.294 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.294 * [taylor]: Taking taylor expansion of 1/2 in U 1.294 * [backup-simplify]: Simplify 1/2 into 1/2 1.294 * [taylor]: Taking taylor expansion of K in U 1.294 * [backup-simplify]: Simplify K into K 1.294 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.294 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.294 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.294 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.294 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.294 * [backup-simplify]: Simplify (- 0) into 0 1.294 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.295 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.295 * [backup-simplify]: Simplify (* 1 1) into 1 1.295 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.295 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 1.295 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 1.295 * [taylor]: Taking taylor expansion of 1 in U 1.295 * [backup-simplify]: Simplify 1 into 1 1.296 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1.296 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1.296 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.296 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.297 * [backup-simplify]: Simplify (+ 0) into 0 1.297 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.297 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.298 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.298 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.299 * [backup-simplify]: Simplify (- 0) into 0 1.299 * [backup-simplify]: Simplify (+ 0 0) into 0 1.299 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.300 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.300 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.301 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 1.301 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 1.302 * [backup-simplify]: Simplify (+ 0 0) into 0 1.302 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.302 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K 1.302 * [taylor]: Taking taylor expansion of 1/2 in K 1.302 * [backup-simplify]: Simplify 1/2 into 1/2 1.302 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K 1.302 * [taylor]: Taking taylor expansion of J in K 1.302 * [backup-simplify]: Simplify J into J 1.302 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.302 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.302 * [taylor]: Taking taylor expansion of 1/2 in K 1.302 * [backup-simplify]: Simplify 1/2 into 1/2 1.302 * [taylor]: Taking taylor expansion of K in K 1.302 * [backup-simplify]: Simplify 0 into 0 1.302 * [backup-simplify]: Simplify 1 into 1 1.306 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.306 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.306 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 1.306 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.306 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 1.306 * [taylor]: Taking taylor expansion of 1/2 in J 1.306 * [backup-simplify]: Simplify 1/2 into 1/2 1.306 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 1.306 * [taylor]: Taking taylor expansion of J in J 1.306 * [backup-simplify]: Simplify 0 into 0 1.306 * [backup-simplify]: Simplify 1 into 1 1.306 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.306 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.306 * [taylor]: Taking taylor expansion of 1/2 in J 1.306 * [backup-simplify]: Simplify 1/2 into 1/2 1.306 * [taylor]: Taking taylor expansion of K in J 1.306 * [backup-simplify]: Simplify K into K 1.306 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.306 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.307 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.307 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.307 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.307 * [backup-simplify]: Simplify (- 0) into 0 1.307 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.308 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 1.308 * [taylor]: Taking taylor expansion of 0 in K 1.308 * [backup-simplify]: Simplify 0 into 0 1.308 * [taylor]: Taking taylor expansion of 0 in J 1.308 * [backup-simplify]: Simplify 0 into 0 1.308 * [backup-simplify]: Simplify 0 into 0 1.308 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 1.308 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 1.309 * [taylor]: Taking taylor expansion of 0 in J 1.309 * [backup-simplify]: Simplify 0 into 0 1.309 * [backup-simplify]: Simplify 0 into 0 1.309 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 1.309 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 1.309 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.310 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.311 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.311 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.312 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.312 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.313 * [backup-simplify]: Simplify (- 0) into 0 1.313 * [backup-simplify]: Simplify (+ 0 0) into 0 1.313 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 1.314 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.315 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 1.316 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 1.317 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 1.317 * [backup-simplify]: Simplify (+ 0 1) into 1 1.318 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 1.318 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 1.318 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.318 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.318 * [taylor]: Taking taylor expansion of 1/2 in K 1.318 * [backup-simplify]: Simplify 1/2 into 1/2 1.318 * [taylor]: Taking taylor expansion of K in K 1.318 * [backup-simplify]: Simplify 0 into 0 1.318 * [backup-simplify]: Simplify 1 into 1 1.319 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.319 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.319 * [taylor]: Taking taylor expansion of J in K 1.319 * [backup-simplify]: Simplify J into J 1.319 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 1.319 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 1.319 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.319 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.319 * [taylor]: Taking taylor expansion of 1/2 in J 1.319 * [backup-simplify]: Simplify 1/2 into 1/2 1.319 * [taylor]: Taking taylor expansion of K in J 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 * [taylor]: Taking taylor expansion of J in J 1.319 * [backup-simplify]: Simplify 0 into 0 1.319 * [backup-simplify]: Simplify 1 into 1 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 1.320 * [backup-simplify]: Simplify (- 0) into 0 1.320 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.320 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.320 * [backup-simplify]: Simplify (+ 0) into 0 1.321 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.321 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.322 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.322 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.323 * [backup-simplify]: Simplify (- 0) into 0 1.323 * [backup-simplify]: Simplify (+ 0 0) into 0 1.324 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 1.324 * [backup-simplify]: Simplify 0 into 0 1.324 * [taylor]: Taking taylor expansion of 0 in J 1.324 * [backup-simplify]: Simplify 0 into 0 1.324 * [backup-simplify]: Simplify 0 into 0 1.325 * [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 1.326 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 1.326 * [taylor]: Taking taylor expansion of 0 in J 1.326 * [backup-simplify]: Simplify 0 into 0 1.326 * [backup-simplify]: Simplify 0 into 0 1.326 * [backup-simplify]: Simplify 0 into 0 1.326 * [backup-simplify]: Simplify 0 into 0 1.326 * [backup-simplify]: Simplify (+ 0) into 0 1.327 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.327 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.327 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.328 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.328 * [backup-simplify]: Simplify (- 0) into 0 1.329 * [backup-simplify]: Simplify (+ 0 0) into 0 1.329 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 1.329 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 1.329 * [backup-simplify]: Simplify 0 into 0 1.330 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 J) (* 1 (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 1.330 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 1.330 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U K J) around 0 1.330 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 1.330 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 1.330 * [taylor]: Taking taylor expansion of 1 in J 1.330 * [backup-simplify]: Simplify 1 into 1 1.330 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 1.331 * [taylor]: Taking taylor expansion of 1/4 in J 1.331 * [backup-simplify]: Simplify 1/4 into 1/4 1.331 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 1.331 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.331 * [taylor]: Taking taylor expansion of J in J 1.331 * [backup-simplify]: Simplify 0 into 0 1.331 * [backup-simplify]: Simplify 1 into 1 1.331 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 1.331 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 1.331 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.331 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.331 * [taylor]: Taking taylor expansion of -1/2 in J 1.331 * [backup-simplify]: Simplify -1/2 into -1/2 1.331 * [taylor]: Taking taylor expansion of K in J 1.331 * [backup-simplify]: Simplify K into K 1.331 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.331 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.331 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.331 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.331 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.332 * [backup-simplify]: Simplify (- 0) into 0 1.332 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.332 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.332 * [taylor]: Taking taylor expansion of U in J 1.332 * [backup-simplify]: Simplify U into U 1.332 * [backup-simplify]: Simplify (* 1 1) into 1 1.332 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.332 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.333 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 1.333 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 1.333 * [backup-simplify]: Simplify (+ 1 0) into 1 1.333 * [backup-simplify]: Simplify (sqrt 1) into 1 1.334 * [backup-simplify]: Simplify (+ 0 0) into 0 1.335 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.335 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 1.335 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 1.335 * [taylor]: Taking taylor expansion of 1 in K 1.335 * [backup-simplify]: Simplify 1 into 1 1.335 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 1.335 * [taylor]: Taking taylor expansion of 1/4 in K 1.335 * [backup-simplify]: Simplify 1/4 into 1/4 1.335 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 1.335 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.335 * [taylor]: Taking taylor expansion of J in K 1.335 * [backup-simplify]: Simplify J into J 1.335 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 1.335 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 1.335 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.335 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.335 * [taylor]: Taking taylor expansion of -1/2 in K 1.335 * [backup-simplify]: Simplify -1/2 into -1/2 1.335 * [taylor]: Taking taylor expansion of K in K 1.335 * [backup-simplify]: Simplify 0 into 0 1.335 * [backup-simplify]: Simplify 1 into 1 1.335 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.336 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.336 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.336 * [taylor]: Taking taylor expansion of U in K 1.336 * [backup-simplify]: Simplify U into U 1.336 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.336 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.336 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.336 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 1.336 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 1.336 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1.337 * [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))))) 1.337 * [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)))))) 1.337 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.337 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.338 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.338 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 1.338 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 1.339 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 1.339 * [backup-simplify]: Simplify (+ 0 0) into 0 1.340 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 1.340 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 1.340 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 1.340 * [taylor]: Taking taylor expansion of 1 in U 1.340 * [backup-simplify]: Simplify 1 into 1 1.340 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 1.340 * [taylor]: Taking taylor expansion of 1/4 in U 1.341 * [backup-simplify]: Simplify 1/4 into 1/4 1.341 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 1.341 * [taylor]: Taking taylor expansion of (pow J 2) 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 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 1.341 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 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) 1.341 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.341 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.341 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.341 * [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 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.342 * [taylor]: Taking taylor expansion of U in U 1.342 * [backup-simplify]: Simplify 0 into 0 1.342 * [backup-simplify]: Simplify 1 into 1 1.342 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.342 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.343 * [backup-simplify]: Simplify (* 1 1) into 1 1.343 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 1.343 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 1.343 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1.343 * [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))) 1.344 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.344 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.344 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.345 * [backup-simplify]: Simplify (+ 0) into 0 1.345 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.345 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.346 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.346 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.347 * [backup-simplify]: Simplify (- 0) into 0 1.347 * [backup-simplify]: Simplify (+ 0 0) into 0 1.347 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.348 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 1.348 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 1.349 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 1.349 * [backup-simplify]: Simplify (+ 0 0) into 0 1.349 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 1.350 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 1.350 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 1.350 * [taylor]: Taking taylor expansion of 1 in U 1.350 * [backup-simplify]: Simplify 1 into 1 1.350 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 1.350 * [taylor]: Taking taylor expansion of 1/4 in U 1.350 * [backup-simplify]: Simplify 1/4 into 1/4 1.350 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 1.350 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.350 * [taylor]: Taking taylor expansion of J in U 1.350 * [backup-simplify]: Simplify J into J 1.350 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 1.350 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 1.350 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.350 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.350 * [taylor]: Taking taylor expansion of -1/2 in U 1.350 * [backup-simplify]: Simplify -1/2 into -1/2 1.350 * [taylor]: Taking taylor expansion of K in U 1.350 * [backup-simplify]: Simplify K into K 1.350 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.350 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.350 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.350 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.350 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.351 * [backup-simplify]: Simplify (- 0) into 0 1.351 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.351 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.351 * [taylor]: Taking taylor expansion of U in U 1.351 * [backup-simplify]: Simplify 0 into 0 1.351 * [backup-simplify]: Simplify 1 into 1 1.351 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.351 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.352 * [backup-simplify]: Simplify (* 1 1) into 1 1.352 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 1.352 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 1.352 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1.352 * [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))) 1.353 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.353 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.353 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.354 * [backup-simplify]: Simplify (+ 0) into 0 1.354 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.354 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.355 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.356 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.356 * [backup-simplify]: Simplify (- 0) into 0 1.356 * [backup-simplify]: Simplify (+ 0 0) into 0 1.356 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.357 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 1.357 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 1.358 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 1.358 * [backup-simplify]: Simplify (+ 0 0) into 0 1.359 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 1.359 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K 1.359 * [taylor]: Taking taylor expansion of 1/2 in K 1.359 * [backup-simplify]: Simplify 1/2 into 1/2 1.359 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K 1.359 * [taylor]: Taking taylor expansion of J in K 1.359 * [backup-simplify]: Simplify J into J 1.359 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.359 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.359 * [taylor]: Taking taylor expansion of -1/2 in K 1.359 * [backup-simplify]: Simplify -1/2 into -1/2 1.359 * [taylor]: Taking taylor expansion of K in K 1.359 * [backup-simplify]: Simplify 0 into 0 1.359 * [backup-simplify]: Simplify 1 into 1 1.359 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.359 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.360 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 1.360 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.360 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 1.360 * [taylor]: Taking taylor expansion of 1/2 in J 1.360 * [backup-simplify]: Simplify 1/2 into 1/2 1.360 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 1.360 * [taylor]: Taking taylor expansion of J in J 1.360 * [backup-simplify]: Simplify 0 into 0 1.360 * [backup-simplify]: Simplify 1 into 1 1.360 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.360 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.360 * [taylor]: Taking taylor expansion of -1/2 in J 1.360 * [backup-simplify]: Simplify -1/2 into -1/2 1.360 * [taylor]: Taking taylor expansion of K in J 1.360 * [backup-simplify]: Simplify K into K 1.360 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.360 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.360 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.360 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.360 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.361 * [backup-simplify]: Simplify (- 0) into 0 1.361 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.361 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 1.361 * [taylor]: Taking taylor expansion of 0 in K 1.361 * [backup-simplify]: Simplify 0 into 0 1.361 * [taylor]: Taking taylor expansion of 0 in J 1.361 * [backup-simplify]: Simplify 0 into 0 1.361 * [backup-simplify]: Simplify 0 into 0 1.361 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 1.362 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 1.362 * [taylor]: Taking taylor expansion of 0 in J 1.362 * [backup-simplify]: Simplify 0 into 0 1.362 * [backup-simplify]: Simplify 0 into 0 1.362 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 1.362 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 1.363 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.365 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.365 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.365 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.366 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.367 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.367 * [backup-simplify]: Simplify (- 0) into 0 1.367 * [backup-simplify]: Simplify (+ 0 0) into 0 1.368 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 1.369 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 1.369 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 1.370 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 1.371 * [backup-simplify]: Simplify (+ 1 0) into 1 1.371 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 1.371 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 1.371 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.371 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.371 * [taylor]: Taking taylor expansion of -1/2 in K 1.372 * [backup-simplify]: Simplify -1/2 into -1/2 1.372 * [taylor]: Taking taylor expansion of K in K 1.372 * [backup-simplify]: Simplify 0 into 0 1.372 * [backup-simplify]: Simplify 1 into 1 1.372 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.372 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.372 * [taylor]: Taking taylor expansion of J in K 1.372 * [backup-simplify]: Simplify J into J 1.372 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 1.372 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 1.372 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.372 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.372 * [taylor]: Taking taylor expansion of -1/2 in J 1.372 * [backup-simplify]: Simplify -1/2 into -1/2 1.372 * [taylor]: Taking taylor expansion of K in J 1.372 * [backup-simplify]: Simplify K into K 1.373 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.373 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.373 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.373 * [taylor]: Taking taylor expansion of J in J 1.373 * [backup-simplify]: Simplify 0 into 0 1.373 * [backup-simplify]: Simplify 1 into 1 1.373 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.373 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.373 * [backup-simplify]: Simplify (- 0) into 0 1.373 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.373 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.374 * [backup-simplify]: Simplify (+ 0) into 0 1.374 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.374 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.375 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.376 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.376 * [backup-simplify]: Simplify (- 0) into 0 1.376 * [backup-simplify]: Simplify (+ 0 0) into 0 1.377 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 1.377 * [backup-simplify]: Simplify 0 into 0 1.377 * [taylor]: Taking taylor expansion of 0 in J 1.377 * [backup-simplify]: Simplify 0 into 0 1.377 * [backup-simplify]: Simplify 0 into 0 1.378 * [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 1.379 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 1.379 * [taylor]: Taking taylor expansion of 0 in J 1.379 * [backup-simplify]: Simplify 0 into 0 1.379 * [backup-simplify]: Simplify 0 into 0 1.379 * [backup-simplify]: Simplify 0 into 0 1.379 * [backup-simplify]: Simplify 0 into 0 1.379 * [backup-simplify]: Simplify (+ 0) into 0 1.380 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.380 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.381 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.381 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.381 * [backup-simplify]: Simplify (- 0) into 0 1.382 * [backup-simplify]: Simplify (+ 0 0) into 0 1.382 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 1.383 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 1.383 * [backup-simplify]: Simplify 0 into 0 1.383 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 1.383 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.384 * [backup-simplify]: Simplify (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)) into (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) 1.384 * [approximate]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in (U K J) around 0 1.384 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J 1.384 * [taylor]: Taking taylor expansion of -2 in J 1.384 * [backup-simplify]: Simplify -2 into -2 1.384 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J 1.384 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 1.384 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.384 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.384 * [taylor]: Taking taylor expansion of 1/2 in J 1.384 * [backup-simplify]: Simplify 1/2 into 1/2 1.384 * [taylor]: Taking taylor expansion of K in J 1.384 * [backup-simplify]: Simplify K into K 1.384 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.384 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.384 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.384 * [taylor]: Taking taylor expansion of J in J 1.384 * [backup-simplify]: Simplify 0 into 0 1.384 * [backup-simplify]: Simplify 1 into 1 1.384 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 1.384 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 1.384 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 1.384 * [taylor]: Taking taylor expansion of 1/4 in J 1.384 * [backup-simplify]: Simplify 1/4 into 1/4 1.384 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 1.384 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.384 * [taylor]: Taking taylor expansion of U in J 1.384 * [backup-simplify]: Simplify U into U 1.384 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 1.384 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 1.384 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.385 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.385 * [taylor]: Taking taylor expansion of 1/2 in J 1.385 * [backup-simplify]: Simplify 1/2 into 1/2 1.385 * [taylor]: Taking taylor expansion of K in J 1.385 * [backup-simplify]: Simplify K into K 1.385 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.385 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.385 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.385 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.385 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.385 * [backup-simplify]: Simplify (- 0) into 0 1.386 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.386 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.386 * [taylor]: Taking taylor expansion of J in J 1.386 * [backup-simplify]: Simplify 0 into 0 1.386 * [backup-simplify]: Simplify 1 into 1 1.386 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.386 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.386 * [backup-simplify]: Simplify (* 1 1) into 1 1.386 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 1.386 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 1.387 * [taylor]: Taking taylor expansion of 1 in J 1.387 * [backup-simplify]: Simplify 1 into 1 1.387 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 1.387 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 1.387 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 1.387 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.388 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.388 * [backup-simplify]: Simplify (+ 0) into 0 1.389 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.389 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.390 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.391 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.391 * [backup-simplify]: Simplify (- 0) into 0 1.391 * [backup-simplify]: Simplify (+ 0 0) into 0 1.391 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 1.392 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 1.392 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 1.393 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 1.393 * [backup-simplify]: Simplify (+ 0 0) into 0 1.394 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 1.394 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in K 1.394 * [taylor]: Taking taylor expansion of -2 in K 1.394 * [backup-simplify]: Simplify -2 into -2 1.394 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in K 1.394 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 1.394 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.394 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.394 * [taylor]: Taking taylor expansion of 1/2 in K 1.394 * [backup-simplify]: Simplify 1/2 into 1/2 1.394 * [taylor]: Taking taylor expansion of K in K 1.394 * [backup-simplify]: Simplify 0 into 0 1.394 * [backup-simplify]: Simplify 1 into 1 1.394 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.395 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.395 * [taylor]: Taking taylor expansion of J in K 1.395 * [backup-simplify]: Simplify J into J 1.395 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 1.395 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 1.395 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 1.395 * [taylor]: Taking taylor expansion of 1/4 in K 1.395 * [backup-simplify]: Simplify 1/4 into 1/4 1.395 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 1.395 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.395 * [taylor]: Taking taylor expansion of U in K 1.395 * [backup-simplify]: Simplify U into U 1.396 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 1.396 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 1.396 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.396 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.396 * [taylor]: Taking taylor expansion of 1/2 in K 1.396 * [backup-simplify]: Simplify 1/2 into 1/2 1.396 * [taylor]: Taking taylor expansion of K in K 1.396 * [backup-simplify]: Simplify 0 into 0 1.396 * [backup-simplify]: Simplify 1 into 1 1.396 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.397 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.397 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.397 * [taylor]: Taking taylor expansion of J in K 1.397 * [backup-simplify]: Simplify J into J 1.397 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.397 * [backup-simplify]: Simplify (* 1 1) into 1 1.397 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.398 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 1.398 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 1.398 * [taylor]: Taking taylor expansion of 1 in K 1.398 * [backup-simplify]: Simplify 1 into 1 1.398 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 1.398 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1.398 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 1.398 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.399 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.399 * [backup-simplify]: Simplify (+ 0) into 0 1.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 1.401 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 1.401 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 1.401 * [backup-simplify]: Simplify (+ 0 0) into 0 1.401 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 1.401 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 1.401 * [taylor]: Taking taylor expansion of -2 in U 1.401 * [backup-simplify]: Simplify -2 into -2 1.401 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 1.402 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 1.402 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.402 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.402 * [taylor]: Taking taylor expansion of 1/2 in U 1.402 * [backup-simplify]: Simplify 1/2 into 1/2 1.402 * [taylor]: Taking taylor expansion of K in U 1.402 * [backup-simplify]: Simplify K into K 1.402 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.402 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.402 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.402 * [taylor]: Taking taylor expansion of J in U 1.402 * [backup-simplify]: Simplify J into J 1.402 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 1.402 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 1.402 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 1.402 * [taylor]: Taking taylor expansion of 1/4 in U 1.402 * [backup-simplify]: Simplify 1/4 into 1/4 1.402 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 1.402 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.402 * [taylor]: Taking taylor expansion of U in U 1.402 * [backup-simplify]: Simplify 0 into 0 1.402 * [backup-simplify]: Simplify 1 into 1 1.402 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 1.402 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 1.402 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.402 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.402 * [taylor]: Taking taylor expansion of 1/2 in U 1.402 * [backup-simplify]: Simplify 1/2 into 1/2 1.402 * [taylor]: Taking taylor expansion of K in U 1.402 * [backup-simplify]: Simplify K into K 1.402 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.402 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.402 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.402 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.402 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.403 * [backup-simplify]: Simplify (- 0) into 0 1.403 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.403 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.403 * [taylor]: Taking taylor expansion of J in U 1.403 * [backup-simplify]: Simplify J into J 1.403 * [backup-simplify]: Simplify (* 1 1) into 1 1.403 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.403 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.403 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 1.403 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.403 * [taylor]: Taking taylor expansion of 1 in U 1.403 * [backup-simplify]: Simplify 1 into 1 1.403 * [backup-simplify]: Simplify (+ 0 1) into 1 1.404 * [backup-simplify]: Simplify (sqrt 1) into 1 1.404 * [backup-simplify]: Simplify (+ 0 0) into 0 1.404 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.404 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 1.404 * [taylor]: Taking taylor expansion of -2 in U 1.404 * [backup-simplify]: Simplify -2 into -2 1.404 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 1.404 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 1.404 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.404 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.404 * [taylor]: Taking taylor expansion of 1/2 in U 1.405 * [backup-simplify]: Simplify 1/2 into 1/2 1.405 * [taylor]: Taking taylor expansion of K in U 1.405 * [backup-simplify]: Simplify K into K 1.405 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.405 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.405 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.405 * [taylor]: Taking taylor expansion of J in U 1.405 * [backup-simplify]: Simplify J into J 1.405 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 1.405 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 1.405 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 1.405 * [taylor]: Taking taylor expansion of 1/4 in U 1.405 * [backup-simplify]: Simplify 1/4 into 1/4 1.405 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 1.405 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.405 * [taylor]: Taking taylor expansion of U in U 1.405 * [backup-simplify]: Simplify 0 into 0 1.405 * [backup-simplify]: Simplify 1 into 1 1.405 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 1.405 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 1.405 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.405 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.405 * [taylor]: Taking taylor expansion of 1/2 in U 1.405 * [backup-simplify]: Simplify 1/2 into 1/2 1.405 * [taylor]: Taking taylor expansion of K in U 1.405 * [backup-simplify]: Simplify K into K 1.405 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.405 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.405 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.405 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.405 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.405 * [backup-simplify]: Simplify (- 0) into 0 1.405 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.405 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.406 * [taylor]: Taking taylor expansion of J in U 1.406 * [backup-simplify]: Simplify J into J 1.406 * [backup-simplify]: Simplify (* 1 1) into 1 1.406 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.406 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.406 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 1.406 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.406 * [taylor]: Taking taylor expansion of 1 in U 1.406 * [backup-simplify]: Simplify 1 into 1 1.406 * [backup-simplify]: Simplify (+ 0 1) into 1 1.407 * [backup-simplify]: Simplify (sqrt 1) into 1 1.407 * [backup-simplify]: Simplify (+ 0 0) into 0 1.407 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.407 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.407 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.408 * [backup-simplify]: Simplify (- 0) into 0 1.408 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.408 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 1.408 * [backup-simplify]: Simplify (* (* (cos (* 1/2 K)) J) 1) into (* (cos (* 1/2 K)) J) 1.408 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J)) 1.408 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in K 1.408 * [taylor]: Taking taylor expansion of -2 in K 1.408 * [backup-simplify]: Simplify -2 into -2 1.408 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 1.408 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.408 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.408 * [taylor]: Taking taylor expansion of 1/2 in K 1.408 * [backup-simplify]: Simplify 1/2 into 1/2 1.408 * [taylor]: Taking taylor expansion of K in K 1.408 * [backup-simplify]: Simplify 0 into 0 1.408 * [backup-simplify]: Simplify 1 into 1 1.408 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.409 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.409 * [taylor]: Taking taylor expansion of J in K 1.409 * [backup-simplify]: Simplify J into J 1.409 * [backup-simplify]: Simplify (* 1 J) into J 1.409 * [backup-simplify]: Simplify (* -2 J) into (* -2 J) 1.409 * [taylor]: Taking taylor expansion of (* -2 J) in J 1.409 * [taylor]: Taking taylor expansion of -2 in J 1.409 * [backup-simplify]: Simplify -2 into -2 1.409 * [taylor]: Taking taylor expansion of J in J 1.409 * [backup-simplify]: Simplify 0 into 0 1.409 * [backup-simplify]: Simplify 1 into 1 1.409 * [backup-simplify]: Simplify (+ 0) into 0 1.409 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.410 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.410 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.410 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.411 * [backup-simplify]: Simplify (- 0) into 0 1.411 * [backup-simplify]: Simplify (+ 0 0) into 0 1.411 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 1.411 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (* 0 1)) into 0 1.412 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0 1.412 * [taylor]: Taking taylor expansion of 0 in K 1.412 * [backup-simplify]: Simplify 0 into 0 1.412 * [taylor]: Taking taylor expansion of 0 in J 1.412 * [backup-simplify]: Simplify 0 into 0 1.412 * [backup-simplify]: Simplify (+ 0) into 0 1.412 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 1.412 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 J)) into 0 1.413 * [taylor]: Taking taylor expansion of 0 in J 1.413 * [backup-simplify]: Simplify 0 into 0 1.413 * [backup-simplify]: Simplify (* -2 0) into 0 1.413 * [backup-simplify]: Simplify 0 into 0 1.413 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.413 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1.414 * [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))) 1.414 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.415 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.415 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 1.416 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.416 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.416 * [backup-simplify]: Simplify (- 0) into 0 1.417 * [backup-simplify]: Simplify (+ 0 0) into 0 1.417 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0 1.417 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 1))) into (* 1/8 (/ 1 (* (cos (* 1/2 K)) J))) 1.418 * [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)))) 1.418 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in K 1.418 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in K 1.418 * [taylor]: Taking taylor expansion of 1/4 in K 1.418 * [backup-simplify]: Simplify 1/4 into 1/4 1.418 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in K 1.418 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 1.418 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.418 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.418 * [taylor]: Taking taylor expansion of 1/2 in K 1.418 * [backup-simplify]: Simplify 1/2 into 1/2 1.418 * [taylor]: Taking taylor expansion of K in K 1.418 * [backup-simplify]: Simplify 0 into 0 1.418 * [backup-simplify]: Simplify 1 into 1 1.418 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.419 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.419 * [taylor]: Taking taylor expansion of J in K 1.419 * [backup-simplify]: Simplify J into J 1.419 * [backup-simplify]: Simplify (* 1 J) into J 1.419 * [backup-simplify]: Simplify (/ 1 J) into (/ 1 J) 1.419 * [backup-simplify]: Simplify (* 1/4 (/ 1 J)) into (/ 1/4 J) 1.419 * [backup-simplify]: Simplify (- (/ 1/4 J)) into (- (* 1/4 (/ 1 J))) 1.419 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 J))) in J 1.419 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 J)) in J 1.419 * [taylor]: Taking taylor expansion of 1/4 in J 1.419 * [backup-simplify]: Simplify 1/4 into 1/4 1.419 * [taylor]: Taking taylor expansion of (/ 1 J) in J 1.419 * [taylor]: Taking taylor expansion of J in J 1.419 * [backup-simplify]: Simplify 0 into 0 1.419 * [backup-simplify]: Simplify 1 into 1 1.419 * [backup-simplify]: Simplify (/ 1 1) into 1 1.420 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 1.420 * [backup-simplify]: Simplify (- 1/4) into -1/4 1.420 * [backup-simplify]: Simplify -1/4 into -1/4 1.420 * [taylor]: Taking taylor expansion of 0 in J 1.420 * [backup-simplify]: Simplify 0 into 0 1.421 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 1.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J)) 1.422 * [backup-simplify]: Simplify (+ (* -2 (- (* 1/8 J))) (+ (* 0 0) (* 0 J))) into (* 1/4 J) 1.422 * [taylor]: Taking taylor expansion of (* 1/4 J) in J 1.422 * [taylor]: Taking taylor expansion of 1/4 in J 1.422 * [backup-simplify]: Simplify 1/4 into 1/4 1.422 * [taylor]: Taking taylor expansion of J in J 1.422 * [backup-simplify]: Simplify 0 into 0 1.422 * [backup-simplify]: Simplify 1 into 1 1.422 * [backup-simplify]: Simplify 0 into 0 1.422 * [backup-simplify]: Simplify 0 into 0 1.423 * [backup-simplify]: Simplify (+ (* -2 1) (* 0 0)) into -2 1.423 * [backup-simplify]: Simplify -2 into -2 1.424 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.424 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.424 * [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 (+ (* 1/2 0) (* 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)) 0) (* 0 (cos (* 1/2 K)))) into 0 1.427 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 1.428 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 1.429 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 1.429 * [backup-simplify]: Simplify (+ 0 0) into 0 1.430 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 1.431 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.432 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.433 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 1.435 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.435 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.436 * [backup-simplify]: Simplify (- 0) into 0 1.436 * [backup-simplify]: Simplify (+ 0 0) into 0 1.437 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 1.438 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (+ (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 1)))) into 0 1.439 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0 1.439 * [taylor]: Taking taylor expansion of 0 in K 1.439 * [backup-simplify]: Simplify 0 into 0 1.439 * [taylor]: Taking taylor expansion of 0 in J 1.439 * [backup-simplify]: Simplify 0 into 0 1.442 * [backup-simplify]: Simplify (+ 0) into 0 1.442 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 1.442 * [backup-simplify]: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 1.443 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 J))) into 0 1.443 * [backup-simplify]: Simplify (- 0) into 0 1.443 * [taylor]: Taking taylor expansion of 0 in J 1.443 * [backup-simplify]: Simplify 0 into 0 1.443 * [taylor]: Taking taylor expansion of 0 in J 1.443 * [backup-simplify]: Simplify 0 into 0 1.444 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1.446 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.447 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0 1.448 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (- (* 1/8 J))) (+ (* 0 0) (* 0 J)))) into 0 1.448 * [taylor]: Taking taylor expansion of 0 in J 1.448 * [backup-simplify]: Simplify 0 into 0 1.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.450 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 1.450 * [backup-simplify]: Simplify (- 0) into 0 1.450 * [backup-simplify]: Simplify 0 into 0 1.450 * [backup-simplify]: Simplify 0 into 0 1.451 * [backup-simplify]: Simplify (* 1/4 0) into 0 1.451 * [backup-simplify]: Simplify 0 into 0 1.451 * [backup-simplify]: Simplify 0 into 0 1.451 * [backup-simplify]: Simplify 0 into 0 1.452 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0 1.452 * [backup-simplify]: Simplify 0 into 0 1.453 * [backup-simplify]: Simplify (+ (* -2 (* J (* 1 1))) (* -1/4 (* (/ 1 J) (* 1 (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 1.454 * [backup-simplify]: Simplify (* (* (sqrt (+ (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) 1)) -2) (* (cos (/ (/ 1 K) 2)) (/ 1 J))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) 1.454 * [approximate]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in (U K J) around 0 1.454 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in J 1.454 * [taylor]: Taking taylor expansion of -2 in J 1.454 * [backup-simplify]: Simplify -2 into -2 1.454 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in J 1.454 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 1.454 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 1.454 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 1.454 * [taylor]: Taking taylor expansion of 1/4 in J 1.454 * [backup-simplify]: Simplify 1/4 into 1/4 1.454 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 1.454 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.454 * [taylor]: Taking taylor expansion of J in J 1.454 * [backup-simplify]: Simplify 0 into 0 1.454 * [backup-simplify]: Simplify 1 into 1 1.454 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 1.454 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.454 * [taylor]: Taking taylor expansion of U in J 1.454 * [backup-simplify]: Simplify U into U 1.454 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 1.454 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.454 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.454 * [taylor]: Taking taylor expansion of 1/2 in J 1.454 * [backup-simplify]: Simplify 1/2 into 1/2 1.454 * [taylor]: Taking taylor expansion of K in J 1.454 * [backup-simplify]: Simplify K into K 1.454 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.454 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.455 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.455 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.455 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.455 * [backup-simplify]: Simplify (- 0) into 0 1.455 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.456 * [backup-simplify]: Simplify (* 1 1) into 1 1.456 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.456 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.456 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 1.456 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 1.456 * [taylor]: Taking taylor expansion of 1 in J 1.456 * [backup-simplify]: Simplify 1 into 1 1.456 * [backup-simplify]: Simplify (+ 0 1) into 1 1.457 * [backup-simplify]: Simplify (sqrt 1) into 1 1.457 * [backup-simplify]: Simplify (+ 0 0) into 0 1.457 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.457 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 1.457 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.457 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.457 * [taylor]: Taking taylor expansion of 1/2 in J 1.457 * [backup-simplify]: Simplify 1/2 into 1/2 1.457 * [taylor]: Taking taylor expansion of K in J 1.457 * [backup-simplify]: Simplify K into K 1.457 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.457 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.457 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.457 * [taylor]: Taking taylor expansion of J in J 1.457 * [backup-simplify]: Simplify 0 into 0 1.457 * [backup-simplify]: Simplify 1 into 1 1.457 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.458 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.458 * [backup-simplify]: Simplify (- 0) into 0 1.458 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.458 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.458 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in K 1.458 * [taylor]: Taking taylor expansion of -2 in K 1.458 * [backup-simplify]: Simplify -2 into -2 1.458 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in K 1.458 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 1.458 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 1.458 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 1.458 * [taylor]: Taking taylor expansion of 1/4 in K 1.458 * [backup-simplify]: Simplify 1/4 into 1/4 1.458 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 1.458 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.458 * [taylor]: Taking taylor expansion of J in K 1.458 * [backup-simplify]: Simplify J into J 1.458 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 1.458 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.458 * [taylor]: Taking taylor expansion of U in K 1.458 * [backup-simplify]: Simplify U into U 1.458 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 1.458 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.458 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.458 * [taylor]: Taking taylor expansion of 1/2 in K 1.458 * [backup-simplify]: Simplify 1/2 into 1/2 1.458 * [taylor]: Taking taylor expansion of K in K 1.458 * [backup-simplify]: Simplify 0 into 0 1.458 * [backup-simplify]: Simplify 1 into 1 1.459 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.459 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.459 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.459 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.459 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.459 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 1.459 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 1.459 * [taylor]: Taking taylor expansion of 1 in K 1.459 * [backup-simplify]: Simplify 1 into 1 1.459 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1.459 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1.460 * [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)) 1.460 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.460 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.460 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.460 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.460 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.461 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 1.461 * [backup-simplify]: Simplify (+ 0 0) into 0 1.461 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 1.461 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 1.461 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.461 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.461 * [taylor]: Taking taylor expansion of 1/2 in K 1.461 * [backup-simplify]: Simplify 1/2 into 1/2 1.461 * [taylor]: Taking taylor expansion of K in K 1.461 * [backup-simplify]: Simplify 0 into 0 1.461 * [backup-simplify]: Simplify 1 into 1 1.461 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.462 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.462 * [taylor]: Taking taylor expansion of J in K 1.462 * [backup-simplify]: Simplify J into J 1.462 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 1.462 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in U 1.462 * [taylor]: Taking taylor expansion of -2 in U 1.462 * [backup-simplify]: Simplify -2 into -2 1.462 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in U 1.462 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 1.462 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 1.462 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 1.462 * [taylor]: Taking taylor expansion of 1/4 in U 1.462 * [backup-simplify]: Simplify 1/4 into 1/4 1.462 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 1.462 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.462 * [taylor]: Taking taylor expansion of J in U 1.462 * [backup-simplify]: Simplify J into J 1.462 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 1.462 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.462 * [taylor]: Taking taylor expansion of U in U 1.462 * [backup-simplify]: Simplify 0 into 0 1.462 * [backup-simplify]: Simplify 1 into 1 1.462 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 1.462 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.462 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.462 * [taylor]: Taking taylor expansion of 1/2 in U 1.462 * [backup-simplify]: Simplify 1/2 into 1/2 1.462 * [taylor]: Taking taylor expansion of K in U 1.462 * [backup-simplify]: Simplify K into K 1.462 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.462 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.462 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.462 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.462 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.462 * [backup-simplify]: Simplify (- 0) into 0 1.463 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.463 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.463 * [backup-simplify]: Simplify (* 1 1) into 1 1.463 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.463 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 1.463 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 1.463 * [taylor]: Taking taylor expansion of 1 in U 1.463 * [backup-simplify]: Simplify 1 into 1 1.463 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1.463 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1.463 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.464 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.464 * [backup-simplify]: Simplify (+ 0) into 0 1.464 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.464 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.465 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.465 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.465 * [backup-simplify]: Simplify (- 0) into 0 1.465 * [backup-simplify]: Simplify (+ 0 0) into 0 1.465 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.466 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.466 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.466 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 1.467 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 1.467 * [backup-simplify]: Simplify (+ 0 0) into 0 1.467 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.467 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 1.467 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.467 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.467 * [taylor]: Taking taylor expansion of 1/2 in U 1.467 * [backup-simplify]: Simplify 1/2 into 1/2 1.467 * [taylor]: Taking taylor expansion of K in U 1.467 * [backup-simplify]: Simplify K into K 1.467 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.467 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.467 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.467 * [taylor]: Taking taylor expansion of J in U 1.467 * [backup-simplify]: Simplify J into J 1.467 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.467 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.468 * [backup-simplify]: Simplify (- 0) into 0 1.468 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.468 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 1.468 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in U 1.468 * [taylor]: Taking taylor expansion of -2 in U 1.468 * [backup-simplify]: Simplify -2 into -2 1.468 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in U 1.468 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 1.468 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 1.468 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 1.468 * [taylor]: Taking taylor expansion of 1/4 in U 1.468 * [backup-simplify]: Simplify 1/4 into 1/4 1.468 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 1.468 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.468 * [taylor]: Taking taylor expansion of J in U 1.468 * [backup-simplify]: Simplify J into J 1.468 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 1.468 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.468 * [taylor]: Taking taylor expansion of U in U 1.468 * [backup-simplify]: Simplify 0 into 0 1.468 * [backup-simplify]: Simplify 1 into 1 1.468 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 1.468 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.468 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.468 * [taylor]: Taking taylor expansion of 1/2 in U 1.468 * [backup-simplify]: Simplify 1/2 into 1/2 1.468 * [taylor]: Taking taylor expansion of K in U 1.468 * [backup-simplify]: Simplify K into K 1.468 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.468 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.468 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.468 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.468 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.469 * [backup-simplify]: Simplify (- 0) into 0 1.469 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.469 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.469 * [backup-simplify]: Simplify (* 1 1) into 1 1.469 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.469 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 1.469 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 1.469 * [taylor]: Taking taylor expansion of 1 in U 1.469 * [backup-simplify]: Simplify 1 into 1 1.469 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1.470 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1.470 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.470 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.470 * [backup-simplify]: Simplify (+ 0) into 0 1.470 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.470 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.471 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.471 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.471 * [backup-simplify]: Simplify (- 0) into 0 1.472 * [backup-simplify]: Simplify (+ 0 0) into 0 1.472 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.472 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.472 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.473 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 1.473 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 1.473 * [backup-simplify]: Simplify (+ 0 0) into 0 1.473 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.473 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 1.473 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.473 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.473 * [taylor]: Taking taylor expansion of 1/2 in U 1.473 * [backup-simplify]: Simplify 1/2 into 1/2 1.473 * [taylor]: Taking taylor expansion of K in U 1.473 * [backup-simplify]: Simplify K into K 1.474 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.474 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.474 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.474 * [taylor]: Taking taylor expansion of J in U 1.474 * [backup-simplify]: Simplify J into J 1.474 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.474 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.474 * [backup-simplify]: Simplify (- 0) into 0 1.474 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.474 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 1.474 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ (cos (/ 1/2 K)) J)) into 1/2 1.475 * [backup-simplify]: Simplify (* -2 1/2) into -1 1.475 * [taylor]: Taking taylor expansion of -1 in K 1.475 * [backup-simplify]: Simplify -1 into -1 1.475 * [taylor]: Taking taylor expansion of -1 in J 1.475 * [backup-simplify]: Simplify -1 into -1 1.475 * [backup-simplify]: Simplify (+ 0) into 0 1.475 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.475 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.476 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.476 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.476 * [backup-simplify]: Simplify (- 0) into 0 1.476 * [backup-simplify]: Simplify (+ 0 0) into 0 1.477 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 1.477 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (/ (cos (/ 1/2 K)) J))) into 0 1.477 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0 1.477 * [taylor]: Taking taylor expansion of 0 in K 1.477 * [backup-simplify]: Simplify 0 into 0 1.477 * [taylor]: Taking taylor expansion of 0 in J 1.477 * [backup-simplify]: Simplify 0 into 0 1.477 * [taylor]: Taking taylor expansion of 0 in J 1.477 * [backup-simplify]: Simplify 0 into 0 1.477 * [backup-simplify]: Simplify -1 into -1 1.478 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.478 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.478 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.479 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.479 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.479 * [backup-simplify]: Simplify (- 0) into 0 1.479 * [backup-simplify]: Simplify (+ 0 0) into 0 1.480 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.480 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.480 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.481 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.481 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.481 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.482 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.482 * [backup-simplify]: Simplify (- 0) into 0 1.482 * [backup-simplify]: Simplify (+ 0 0) into 0 1.483 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 1.483 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 1.484 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 1.485 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 1.485 * [backup-simplify]: Simplify (+ 0 1) into 1 1.486 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 1.487 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* (/ (cos (/ 1/2 K)) J) (/ (cos (/ 1/2 K)) J)))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 1.488 * [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)))) 1.488 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in K 1.488 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in K 1.488 * [taylor]: Taking taylor expansion of 2 in K 1.488 * [backup-simplify]: Simplify 2 into 2 1.488 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in K 1.488 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 1.488 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.488 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.488 * [taylor]: Taking taylor expansion of 1/2 in K 1.488 * [backup-simplify]: Simplify 1/2 into 1/2 1.488 * [taylor]: Taking taylor expansion of K in K 1.488 * [backup-simplify]: Simplify 0 into 0 1.488 * [backup-simplify]: Simplify 1 into 1 1.489 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.489 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.489 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.489 * [taylor]: Taking taylor expansion of J in K 1.489 * [backup-simplify]: Simplify J into J 1.489 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.489 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.489 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 1.489 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) into (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 1.490 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) 1.490 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J 1.490 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J 1.490 * [taylor]: Taking taylor expansion of 2 in J 1.490 * [backup-simplify]: Simplify 2 into 2 1.490 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J 1.490 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 1.490 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.490 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.490 * [taylor]: Taking taylor expansion of 1/2 in J 1.490 * [backup-simplify]: Simplify 1/2 into 1/2 1.490 * [taylor]: Taking taylor expansion of K in J 1.490 * [backup-simplify]: Simplify K into K 1.490 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.490 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.490 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.490 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.490 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.491 * [backup-simplify]: Simplify (- 0) into 0 1.491 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.491 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.491 * [taylor]: Taking taylor expansion of J in J 1.491 * [backup-simplify]: Simplify 0 into 0 1.491 * [backup-simplify]: Simplify 1 into 1 1.491 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.491 * [backup-simplify]: Simplify (* 1 1) into 1 1.491 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 1.492 * [backup-simplify]: Simplify (+ 0) into 0 1.492 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.492 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.493 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.494 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.494 * [backup-simplify]: Simplify (- 0) into 0 1.494 * [backup-simplify]: Simplify (+ 0 0) into 0 1.495 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.495 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.496 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 1.497 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.497 * [backup-simplify]: Simplify (- 0) into 0 1.497 * [backup-simplify]: Simplify 0 into 0 1.497 * [taylor]: Taking taylor expansion of 0 in J 1.497 * [backup-simplify]: Simplify 0 into 0 1.497 * [taylor]: Taking taylor expansion of 0 in J 1.497 * [backup-simplify]: Simplify 0 into 0 1.497 * [backup-simplify]: Simplify 0 into 0 1.497 * [backup-simplify]: Simplify 0 into 0 1.497 * [backup-simplify]: Simplify 0 into 0 1.498 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.499 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.499 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.501 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.502 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.502 * [backup-simplify]: Simplify (- 0) into 0 1.503 * [backup-simplify]: Simplify (+ 0 0) into 0 1.503 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.504 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 1.505 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.505 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.506 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.507 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.508 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.508 * [backup-simplify]: Simplify (- 0) into 0 1.509 * [backup-simplify]: Simplify (+ 0 0) into 0 1.509 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 1.510 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 1.512 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 1.514 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.514 * [backup-simplify]: Simplify (+ 0 0) into 0 1.514 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 1.515 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* (/ (cos (/ 1/2 K)) J) 0) (* 0 (/ (cos (/ 1/2 K)) J))))) into 0 1.516 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 1.516 * [taylor]: Taking taylor expansion of 0 in K 1.516 * [backup-simplify]: Simplify 0 into 0 1.516 * [taylor]: Taking taylor expansion of 0 in J 1.516 * [backup-simplify]: Simplify 0 into 0 1.517 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.517 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.517 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 1.518 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) into 0 1.518 * [backup-simplify]: Simplify (- 0) into 0 1.518 * [taylor]: Taking taylor expansion of 0 in J 1.518 * [backup-simplify]: Simplify 0 into 0 1.518 * [taylor]: Taking taylor expansion of 0 in J 1.518 * [backup-simplify]: Simplify 0 into 0 1.518 * [taylor]: Taking taylor expansion of 0 in J 1.518 * [backup-simplify]: Simplify 0 into 0 1.519 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.520 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.520 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.521 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.521 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.522 * [backup-simplify]: Simplify (- 0) into 0 1.522 * [backup-simplify]: Simplify (+ 0 0) into 0 1.523 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 1.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.525 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.526 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 1.526 * [backup-simplify]: Simplify (- 0) into 0 1.526 * [backup-simplify]: Simplify 0 into 0 1.526 * [backup-simplify]: Simplify 0 into 0 1.526 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U) 1.527 * [backup-simplify]: Simplify (* (* (sqrt (+ (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) 1)) -2) (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))) into (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) 1.527 * [approximate]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in (U K J) around 0 1.527 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J 1.528 * [taylor]: Taking taylor expansion of 2 in J 1.528 * [backup-simplify]: Simplify 2 into 2 1.528 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 1.528 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 1.528 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.528 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.528 * [taylor]: Taking taylor expansion of -1/2 in J 1.528 * [backup-simplify]: Simplify -1/2 into -1/2 1.528 * [taylor]: Taking taylor expansion of K in J 1.528 * [backup-simplify]: Simplify K into K 1.528 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.528 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.528 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.528 * [taylor]: Taking taylor expansion of J in J 1.528 * [backup-simplify]: Simplify 0 into 0 1.528 * [backup-simplify]: Simplify 1 into 1 1.528 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.528 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.528 * [backup-simplify]: Simplify (- 0) into 0 1.528 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.529 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.529 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 1.529 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 1.529 * [taylor]: Taking taylor expansion of 1 in J 1.529 * [backup-simplify]: Simplify 1 into 1 1.529 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 1.529 * [taylor]: Taking taylor expansion of 1/4 in J 1.529 * [backup-simplify]: Simplify 1/4 into 1/4 1.529 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 1.529 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.529 * [taylor]: Taking taylor expansion of J in J 1.529 * [backup-simplify]: Simplify 0 into 0 1.529 * [backup-simplify]: Simplify 1 into 1 1.529 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 1.529 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 1.529 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.529 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.529 * [taylor]: Taking taylor expansion of -1/2 in J 1.529 * [backup-simplify]: Simplify -1/2 into -1/2 1.529 * [taylor]: Taking taylor expansion of K in J 1.529 * [backup-simplify]: Simplify K into K 1.529 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.529 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.529 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.529 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.529 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.530 * [backup-simplify]: Simplify (- 0) into 0 1.530 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.530 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.530 * [taylor]: Taking taylor expansion of U in J 1.530 * [backup-simplify]: Simplify U into U 1.530 * [backup-simplify]: Simplify (* 1 1) into 1 1.530 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.530 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.530 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 1.530 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 1.531 * [backup-simplify]: Simplify (+ 1 0) into 1 1.531 * [backup-simplify]: Simplify (sqrt 1) into 1 1.531 * [backup-simplify]: Simplify (+ 0 0) into 0 1.532 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.532 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K 1.532 * [taylor]: Taking taylor expansion of 2 in K 1.532 * [backup-simplify]: Simplify 2 into 2 1.532 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K 1.532 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 1.532 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.532 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.532 * [taylor]: Taking taylor expansion of -1/2 in K 1.532 * [backup-simplify]: Simplify -1/2 into -1/2 1.532 * [taylor]: Taking taylor expansion of K in K 1.532 * [backup-simplify]: Simplify 0 into 0 1.532 * [backup-simplify]: Simplify 1 into 1 1.532 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.532 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.532 * [taylor]: Taking taylor expansion of J in K 1.532 * [backup-simplify]: Simplify J into J 1.532 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 1.532 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 1.532 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 1.532 * [taylor]: Taking taylor expansion of 1 in K 1.532 * [backup-simplify]: Simplify 1 into 1 1.532 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 1.532 * [taylor]: Taking taylor expansion of 1/4 in K 1.532 * [backup-simplify]: Simplify 1/4 into 1/4 1.532 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 1.532 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.532 * [taylor]: Taking taylor expansion of J in K 1.532 * [backup-simplify]: Simplify J into J 1.532 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 1.532 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 1.532 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.532 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.532 * [taylor]: Taking taylor expansion of -1/2 in K 1.532 * [backup-simplify]: Simplify -1/2 into -1/2 1.532 * [taylor]: Taking taylor expansion of K in K 1.532 * [backup-simplify]: Simplify 0 into 0 1.532 * [backup-simplify]: Simplify 1 into 1 1.533 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.533 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.533 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.533 * [taylor]: Taking taylor expansion of U in K 1.533 * [backup-simplify]: Simplify U into U 1.533 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.533 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.533 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.533 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 1.533 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 1.533 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1.534 * [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))))) 1.534 * [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)))))) 1.534 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.534 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.534 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.534 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 1.534 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 1.535 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 1.535 * [backup-simplify]: Simplify (+ 0 0) into 0 1.535 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 1.535 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 1.535 * [taylor]: Taking taylor expansion of 2 in U 1.535 * [backup-simplify]: Simplify 2 into 2 1.535 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 1.535 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 1.535 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.535 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.535 * [taylor]: Taking taylor expansion of -1/2 in U 1.535 * [backup-simplify]: Simplify -1/2 into -1/2 1.536 * [taylor]: Taking taylor expansion of K in U 1.536 * [backup-simplify]: Simplify K into K 1.536 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.536 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.536 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.536 * [taylor]: Taking taylor expansion of J in U 1.536 * [backup-simplify]: Simplify J into J 1.536 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.536 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.536 * [backup-simplify]: Simplify (- 0) into 0 1.536 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.536 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 1.536 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 1.536 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 1.536 * [taylor]: Taking taylor expansion of 1 in U 1.536 * [backup-simplify]: Simplify 1 into 1 1.536 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 1.536 * [taylor]: Taking taylor expansion of 1/4 in U 1.536 * [backup-simplify]: Simplify 1/4 into 1/4 1.536 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 1.536 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.536 * [taylor]: Taking taylor expansion of J in U 1.536 * [backup-simplify]: Simplify J into J 1.536 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 1.536 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 1.536 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.536 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.536 * [taylor]: Taking taylor expansion of -1/2 in U 1.536 * [backup-simplify]: Simplify -1/2 into -1/2 1.536 * [taylor]: Taking taylor expansion of K in U 1.536 * [backup-simplify]: Simplify K into K 1.536 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.537 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.537 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.537 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.537 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.537 * [backup-simplify]: Simplify (- 0) into 0 1.537 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.537 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.537 * [taylor]: Taking taylor expansion of U in U 1.537 * [backup-simplify]: Simplify 0 into 0 1.537 * [backup-simplify]: Simplify 1 into 1 1.537 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.537 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.537 * [backup-simplify]: Simplify (* 1 1) into 1 1.537 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 1.538 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 1.538 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1.538 * [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))) 1.538 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.538 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.538 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.539 * [backup-simplify]: Simplify (+ 0) into 0 1.539 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.539 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.539 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.540 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.540 * [backup-simplify]: Simplify (- 0) into 0 1.540 * [backup-simplify]: Simplify (+ 0 0) into 0 1.540 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.541 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 1.541 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 1.541 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 1.541 * [backup-simplify]: Simplify (+ 0 0) into 0 1.542 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 1.542 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 1.542 * [taylor]: Taking taylor expansion of 2 in U 1.542 * [backup-simplify]: Simplify 2 into 2 1.542 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 1.542 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 1.542 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.542 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.542 * [taylor]: Taking taylor expansion of -1/2 in U 1.542 * [backup-simplify]: Simplify -1/2 into -1/2 1.542 * [taylor]: Taking taylor expansion of K in U 1.542 * [backup-simplify]: Simplify K into K 1.542 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.542 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.542 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.542 * [taylor]: Taking taylor expansion of J in U 1.542 * [backup-simplify]: Simplify J into J 1.542 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.542 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.542 * [backup-simplify]: Simplify (- 0) into 0 1.542 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.542 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 1.542 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 1.542 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 1.543 * [taylor]: Taking taylor expansion of 1 in U 1.543 * [backup-simplify]: Simplify 1 into 1 1.543 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 1.543 * [taylor]: Taking taylor expansion of 1/4 in U 1.543 * [backup-simplify]: Simplify 1/4 into 1/4 1.543 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 1.543 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.543 * [taylor]: Taking taylor expansion of J in U 1.543 * [backup-simplify]: Simplify J into J 1.543 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 1.543 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 1.543 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.543 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.543 * [taylor]: Taking taylor expansion of -1/2 in U 1.543 * [backup-simplify]: Simplify -1/2 into -1/2 1.543 * [taylor]: Taking taylor expansion of K in U 1.543 * [backup-simplify]: Simplify K into K 1.543 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.543 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.543 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.543 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.543 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.543 * [backup-simplify]: Simplify (- 0) into 0 1.543 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.543 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.543 * [taylor]: Taking taylor expansion of U in U 1.543 * [backup-simplify]: Simplify 0 into 0 1.543 * [backup-simplify]: Simplify 1 into 1 1.543 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.543 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.544 * [backup-simplify]: Simplify (* 1 1) into 1 1.544 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 1.544 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 1.544 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1.544 * [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))) 1.544 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.545 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.545 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.545 * [backup-simplify]: Simplify (+ 0) into 0 1.545 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.546 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.546 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.546 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.547 * [backup-simplify]: Simplify (- 0) into 0 1.547 * [backup-simplify]: Simplify (+ 0 0) into 0 1.547 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.547 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 1.547 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 1.548 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 1.548 * [backup-simplify]: Simplify (+ 0 0) into 0 1.548 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 1.548 * [backup-simplify]: Simplify (* (/ (cos (/ -1/2 K)) J) (* 1/2 (/ J (cos (/ -1/2 K))))) into 1/2 1.549 * [backup-simplify]: Simplify (* 2 1/2) into 1 1.549 * [taylor]: Taking taylor expansion of 1 in K 1.549 * [backup-simplify]: Simplify 1 into 1 1.549 * [taylor]: Taking taylor expansion of 1 in J 1.549 * [backup-simplify]: Simplify 1 into 1 1.549 * [backup-simplify]: Simplify (+ 0) into 0 1.549 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.549 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.550 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.550 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.550 * [backup-simplify]: Simplify (- 0) into 0 1.550 * [backup-simplify]: Simplify (+ 0 0) into 0 1.551 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0 1.551 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 1.551 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0 1.551 * [taylor]: Taking taylor expansion of 0 in K 1.551 * [backup-simplify]: Simplify 0 into 0 1.551 * [taylor]: Taking taylor expansion of 0 in J 1.551 * [backup-simplify]: Simplify 0 into 0 1.551 * [taylor]: Taking taylor expansion of 0 in J 1.551 * [backup-simplify]: Simplify 0 into 0 1.551 * [backup-simplify]: Simplify 1 into 1 1.552 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.553 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.553 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.553 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.555 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.556 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.556 * [backup-simplify]: Simplify (- 0) into 0 1.556 * [backup-simplify]: Simplify (+ 0 0) into 0 1.556 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 1.557 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 1.557 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 1.558 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 1.558 * [backup-simplify]: Simplify (+ 1 0) into 1 1.558 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 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 1.560 * [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 1.561 * [backup-simplify]: Simplify (- 0) into 0 1.561 * [backup-simplify]: Simplify (+ 0 0) into 0 1.561 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.562 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 1.562 * [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))) 1.562 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in K 1.562 * [taylor]: Taking taylor expansion of 2 in K 1.562 * [backup-simplify]: Simplify 2 into 2 1.562 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in K 1.562 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 1.562 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.562 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.562 * [taylor]: Taking taylor expansion of -1/2 in K 1.562 * [backup-simplify]: Simplify -1/2 into -1/2 1.562 * [taylor]: Taking taylor expansion of K in K 1.562 * [backup-simplify]: Simplify 0 into 0 1.562 * [backup-simplify]: Simplify 1 into 1 1.563 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.563 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.563 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.563 * [taylor]: Taking taylor expansion of J in K 1.563 * [backup-simplify]: Simplify J into J 1.563 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.563 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.563 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 1.563 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 1.563 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J 1.563 * [taylor]: Taking taylor expansion of 2 in J 1.563 * [backup-simplify]: Simplify 2 into 2 1.563 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J 1.563 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 1.563 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.563 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.563 * [taylor]: Taking taylor expansion of -1/2 in J 1.563 * [backup-simplify]: Simplify -1/2 into -1/2 1.563 * [taylor]: Taking taylor expansion of K in J 1.563 * [backup-simplify]: Simplify K into K 1.563 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.563 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.563 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.563 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.563 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.564 * [backup-simplify]: Simplify (- 0) into 0 1.564 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.564 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.564 * [taylor]: Taking taylor expansion of J in J 1.564 * [backup-simplify]: Simplify 0 into 0 1.564 * [backup-simplify]: Simplify 1 into 1 1.564 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.564 * [backup-simplify]: Simplify (* 1 1) into 1 1.564 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 1.565 * [backup-simplify]: Simplify (+ 0) into 0 1.565 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.566 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.566 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.567 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 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 (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.568 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.569 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 1.570 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 1.570 * [backup-simplify]: Simplify 0 into 0 1.570 * [taylor]: Taking taylor expansion of 0 in J 1.570 * [backup-simplify]: Simplify 0 into 0 1.570 * [taylor]: Taking taylor expansion of 0 in J 1.570 * [backup-simplify]: Simplify 0 into 0 1.570 * [backup-simplify]: Simplify 0 into 0 1.570 * [backup-simplify]: Simplify 0 into 0 1.570 * [backup-simplify]: Simplify 0 into 0 1.571 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 1.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.573 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.574 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.574 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.576 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.576 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.577 * [backup-simplify]: Simplify (- 0) into 0 1.577 * [backup-simplify]: Simplify (+ 0 0) into 0 1.578 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 1.579 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.579 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 1.580 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 1.581 * [backup-simplify]: Simplify (+ 0 0) into 0 1.581 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 1.582 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.583 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.583 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.585 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.586 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 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 (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.587 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (+ (* 0 (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0 1.588 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 1.588 * [taylor]: Taking taylor expansion of 0 in K 1.588 * [backup-simplify]: Simplify 0 into 0 1.588 * [taylor]: Taking taylor expansion of 0 in J 1.589 * [backup-simplify]: Simplify 0 into 0 1.589 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.589 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.589 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 1.590 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) into 0 1.590 * [taylor]: Taking taylor expansion of 0 in J 1.590 * [backup-simplify]: Simplify 0 into 0 1.590 * [taylor]: Taking taylor expansion of 0 in J 1.590 * [backup-simplify]: Simplify 0 into 0 1.590 * [taylor]: Taking taylor expansion of 0 in J 1.590 * [backup-simplify]: Simplify 0 into 0 1.591 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.591 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.592 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.592 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.593 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.593 * [backup-simplify]: Simplify (- 0) into 0 1.594 * [backup-simplify]: Simplify (+ 0 0) into 0 1.594 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 1.595 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.596 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.597 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0 1.597 * [backup-simplify]: Simplify 0 into 0 1.597 * [backup-simplify]: Simplify 0 into 0 1.597 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U) 1.597 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 1.597 * [backup-simplify]: Simplify (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1.597 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in (U K J) around 0 1.597 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 1.597 * [taylor]: Taking taylor expansion of 1/4 in J 1.597 * [backup-simplify]: Simplify 1/4 into 1/4 1.597 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 1.597 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.597 * [taylor]: Taking taylor expansion of U in J 1.597 * [backup-simplify]: Simplify U into U 1.597 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 1.597 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 1.597 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.597 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.597 * [taylor]: Taking taylor expansion of 1/2 in J 1.597 * [backup-simplify]: Simplify 1/2 into 1/2 1.597 * [taylor]: Taking taylor expansion of K in J 1.597 * [backup-simplify]: Simplify K into K 1.597 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.597 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.598 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.598 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.598 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.598 * [backup-simplify]: Simplify (- 0) into 0 1.598 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.598 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.598 * [taylor]: Taking taylor expansion of J in J 1.598 * [backup-simplify]: Simplify 0 into 0 1.598 * [backup-simplify]: Simplify 1 into 1 1.598 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.598 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.598 * [backup-simplify]: Simplify (* 1 1) into 1 1.598 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 1.598 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 1.599 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 1.599 * [taylor]: Taking taylor expansion of 1/4 in K 1.599 * [backup-simplify]: Simplify 1/4 into 1/4 1.599 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 1.599 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.599 * [taylor]: Taking taylor expansion of U in K 1.599 * [backup-simplify]: Simplify U into U 1.599 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 1.599 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 1.599 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.599 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.599 * [taylor]: Taking taylor expansion of 1/2 in K 1.599 * [backup-simplify]: Simplify 1/2 into 1/2 1.599 * [taylor]: Taking taylor expansion of K in K 1.599 * [backup-simplify]: Simplify 0 into 0 1.599 * [backup-simplify]: Simplify 1 into 1 1.599 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.599 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.599 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.599 * [taylor]: Taking taylor expansion of J in K 1.599 * [backup-simplify]: Simplify J into J 1.600 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.600 * [backup-simplify]: Simplify (* 1 1) into 1 1.600 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.600 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 1.600 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 1.600 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 1.600 * [taylor]: Taking taylor expansion of 1/4 in U 1.600 * [backup-simplify]: Simplify 1/4 into 1/4 1.600 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 1.600 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.600 * [taylor]: Taking taylor expansion of U in U 1.600 * [backup-simplify]: Simplify 0 into 0 1.600 * [backup-simplify]: Simplify 1 into 1 1.600 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 1.600 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 1.600 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.600 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.600 * [taylor]: Taking taylor expansion of 1/2 in U 1.600 * [backup-simplify]: Simplify 1/2 into 1/2 1.600 * [taylor]: Taking taylor expansion of K in U 1.600 * [backup-simplify]: Simplify K into K 1.600 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.600 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.600 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.600 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.600 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.601 * [backup-simplify]: Simplify (- 0) into 0 1.601 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.601 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.601 * [taylor]: Taking taylor expansion of J in U 1.601 * [backup-simplify]: Simplify J into J 1.601 * [backup-simplify]: Simplify (* 1 1) into 1 1.601 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.601 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.601 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 1.601 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.601 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 1.601 * [taylor]: Taking taylor expansion of 1/4 in U 1.601 * [backup-simplify]: Simplify 1/4 into 1/4 1.601 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 1.601 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.601 * [taylor]: Taking taylor expansion of U in U 1.601 * [backup-simplify]: Simplify 0 into 0 1.601 * [backup-simplify]: Simplify 1 into 1 1.601 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 1.601 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 1.601 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.601 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.601 * [taylor]: Taking taylor expansion of 1/2 in U 1.601 * [backup-simplify]: Simplify 1/2 into 1/2 1.601 * [taylor]: Taking taylor expansion of K in U 1.601 * [backup-simplify]: Simplify K into K 1.602 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.602 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.602 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.602 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.602 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.602 * [backup-simplify]: Simplify (- 0) into 0 1.602 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.602 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.602 * [taylor]: Taking taylor expansion of J in U 1.602 * [backup-simplify]: Simplify J into J 1.603 * [backup-simplify]: Simplify (* 1 1) into 1 1.603 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.603 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.603 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 1.603 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.603 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.603 * [taylor]: Taking taylor expansion of (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 1.603 * [taylor]: Taking taylor expansion of 1/4 in K 1.603 * [backup-simplify]: Simplify 1/4 into 1/4 1.603 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 1.603 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 1.603 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.603 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.603 * [taylor]: Taking taylor expansion of 1/2 in K 1.603 * [backup-simplify]: Simplify 1/2 into 1/2 1.603 * [taylor]: Taking taylor expansion of K in K 1.603 * [backup-simplify]: Simplify 0 into 0 1.603 * [backup-simplify]: Simplify 1 into 1 1.604 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.604 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.604 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.604 * [taylor]: Taking taylor expansion of J in K 1.604 * [backup-simplify]: Simplify J into J 1.604 * [backup-simplify]: Simplify (* 1 1) into 1 1.604 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.604 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 1.604 * [backup-simplify]: Simplify (/ 1/4 (pow J 2)) into (/ 1/4 (pow J 2)) 1.604 * [taylor]: Taking taylor expansion of (/ 1/4 (pow J 2)) in J 1.604 * [taylor]: Taking taylor expansion of 1/4 in J 1.604 * [backup-simplify]: Simplify 1/4 into 1/4 1.604 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.604 * [taylor]: Taking taylor expansion of J in J 1.604 * [backup-simplify]: Simplify 0 into 0 1.604 * [backup-simplify]: Simplify 1 into 1 1.605 * [backup-simplify]: Simplify (* 1 1) into 1 1.605 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 1.605 * [backup-simplify]: Simplify 1/4 into 1/4 1.605 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.605 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.606 * [backup-simplify]: Simplify (+ 0) into 0 1.606 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.606 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.607 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.607 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.607 * [backup-simplify]: Simplify (- 0) into 0 1.607 * [backup-simplify]: Simplify (+ 0 0) into 0 1.608 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 1.608 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 1.608 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 1.608 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 1.608 * [taylor]: Taking taylor expansion of 0 in K 1.608 * [backup-simplify]: Simplify 0 into 0 1.608 * [taylor]: Taking taylor expansion of 0 in J 1.608 * [backup-simplify]: Simplify 0 into 0 1.608 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.609 * [backup-simplify]: Simplify (+ 0) into 0 1.609 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.609 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 1.610 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/4 (pow J 2)) (/ 0 (pow J 2))))) into 0 1.610 * [taylor]: Taking taylor expansion of 0 in J 1.610 * [backup-simplify]: Simplify 0 into 0 1.610 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.610 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 1.611 * [backup-simplify]: Simplify 0 into 0 1.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.611 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.612 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.612 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.613 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 1.613 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.614 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.614 * [backup-simplify]: Simplify (- 0) into 0 1.614 * [backup-simplify]: Simplify (+ 0 0) into 0 1.614 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 1.615 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0 1.615 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 1.616 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 1.616 * [taylor]: Taking taylor expansion of 0 in K 1.616 * [backup-simplify]: Simplify 0 into 0 1.616 * [taylor]: Taking taylor expansion of 0 in J 1.616 * [backup-simplify]: Simplify 0 into 0 1.616 * [taylor]: Taking taylor expansion of 0 in J 1.616 * [backup-simplify]: Simplify 0 into 0 1.616 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.617 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 1.618 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (* -1/8 1))) into -1/4 1.618 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/4 (pow J 2)))) into (- (* 1/4 (pow J 2))) 1.618 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/4 (pow J 2)) (/ (- (* 1/4 (pow J 2))) (pow J 2))) (* 0 (/ 0 (pow J 2))))) into (* 1/16 (/ 1 (pow J 2))) 1.618 * [taylor]: Taking taylor expansion of (* 1/16 (/ 1 (pow J 2))) in J 1.618 * [taylor]: Taking taylor expansion of 1/16 in J 1.618 * [backup-simplify]: Simplify 1/16 into 1/16 1.618 * [taylor]: Taking taylor expansion of (/ 1 (pow J 2)) in J 1.618 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.618 * [taylor]: Taking taylor expansion of J in J 1.618 * [backup-simplify]: Simplify 0 into 0 1.619 * [backup-simplify]: Simplify 1 into 1 1.619 * [backup-simplify]: Simplify (* 1 1) into 1 1.619 * [backup-simplify]: Simplify (/ 1 1) into 1 1.619 * [backup-simplify]: Simplify (* 1/16 1) into 1/16 1.619 * [backup-simplify]: Simplify 1/16 into 1/16 1.620 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.620 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.620 * [backup-simplify]: Simplify 0 into 0 1.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.622 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 1.622 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.623 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.623 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 1.625 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.625 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.625 * [backup-simplify]: Simplify (- 0) into 0 1.626 * [backup-simplify]: Simplify (+ 0 0) into 0 1.627 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0 1.628 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2))))) into 0 1.628 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 1.630 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) into 0 1.630 * [taylor]: Taking taylor expansion of 0 in K 1.630 * [backup-simplify]: Simplify 0 into 0 1.630 * [taylor]: Taking taylor expansion of 0 in J 1.630 * [backup-simplify]: Simplify 0 into 0 1.630 * [taylor]: Taking taylor expansion of 0 in J 1.630 * [backup-simplify]: Simplify 0 into 0 1.630 * [taylor]: Taking taylor expansion of 0 in J 1.630 * [backup-simplify]: Simplify 0 into 0 1.631 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 1.632 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1.633 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.634 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/8) (+ (* -1/8 0) (* 0 1)))) into 0 1.636 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (* 0 (pow J 2))))) into 0 1.636 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/4 (pow J 2)) (/ 0 (pow J 2))) (* 0 (/ (- (* 1/4 (pow J 2))) (pow J 2))) (* (* 1/16 (/ 1 (pow J 2))) (/ 0 (pow J 2))))) into 0 1.636 * [taylor]: Taking taylor expansion of 0 in J 1.636 * [backup-simplify]: Simplify 0 into 0 1.637 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.638 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 1)) into 0 1.638 * [backup-simplify]: Simplify 0 into 0 1.639 * [backup-simplify]: Simplify 0 into 0 1.639 * [backup-simplify]: Simplify 0 into 0 1.640 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.641 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.641 * [backup-simplify]: Simplify 0 into 0 1.642 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.643 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 J))))) into 0 1.645 * [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 1.647 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.648 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0 1.649 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.650 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 1.651 * [backup-simplify]: Simplify (- 0) into 0 1.651 * [backup-simplify]: Simplify (+ 0 0) into 0 1.653 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))))) into 0 1.654 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2)))))) into 0 1.655 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 1.656 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))))) into 0 1.656 * [taylor]: Taking taylor expansion of 0 in K 1.656 * [backup-simplify]: Simplify 0 into 0 1.656 * [taylor]: Taking taylor expansion of 0 in J 1.656 * [backup-simplify]: Simplify 0 into 0 1.656 * [taylor]: Taking taylor expansion of 0 in J 1.656 * [backup-simplify]: Simplify 0 into 0 1.656 * [taylor]: Taking taylor expansion of 0 in J 1.656 * [backup-simplify]: Simplify 0 into 0 1.656 * [taylor]: Taking taylor expansion of 0 in J 1.657 * [backup-simplify]: Simplify 0 into 0 1.657 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 J))))) into 0 1.658 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.659 * [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 1.660 * [backup-simplify]: Simplify (+ (* 1 1/384) (+ (* 0 0) (+ (* -1/8 -1/8) (+ (* 0 0) (* 1/384 1))))) into 1/48 1.661 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (+ (* 0 0) (* 1/48 (pow J 2)))))) into (* 1/48 (pow J 2)) 1.662 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/4 (pow J 2)) (/ (* 1/48 (pow J 2)) (pow J 2))) (* 0 (/ 0 (pow J 2))) (* (* 1/16 (/ 1 (pow J 2))) (/ (- (* 1/4 (pow J 2))) (pow J 2))) (* 0 (/ 0 (pow J 2))))) into (* 1/96 (/ 1 (pow J 2))) 1.662 * [taylor]: Taking taylor expansion of (* 1/96 (/ 1 (pow J 2))) in J 1.662 * [taylor]: Taking taylor expansion of 1/96 in J 1.662 * [backup-simplify]: Simplify 1/96 into 1/96 1.662 * [taylor]: Taking taylor expansion of (/ 1 (pow J 2)) in J 1.662 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.662 * [taylor]: Taking taylor expansion of J in J 1.662 * [backup-simplify]: Simplify 0 into 0 1.662 * [backup-simplify]: Simplify 1 into 1 1.662 * [backup-simplify]: Simplify (* 1 1) into 1 1.662 * [backup-simplify]: Simplify (/ 1 1) into 1 1.663 * [backup-simplify]: Simplify (* 1/96 1) into 1/96 1.663 * [backup-simplify]: Simplify 1/96 into 1/96 1.663 * [backup-simplify]: Simplify (+ (* 1/96 (pow (* (/ 1 J) (* (pow K 2) U)) 2)) (+ (* 1/16 (pow (* (/ 1 J) (* K U)) 2)) (* 1/4 (pow (* (/ 1 J) (* 1 U)) 2)))) into (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (* (pow K 4) (pow U 2)) (pow J 2))))) 1.663 * [backup-simplify]: Simplify (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1.663 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in (U K J) around 0 1.663 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 1.663 * [taylor]: Taking taylor expansion of 1/4 in J 1.664 * [backup-simplify]: Simplify 1/4 into 1/4 1.664 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 1.664 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.664 * [taylor]: Taking taylor expansion of J in J 1.664 * [backup-simplify]: Simplify 0 into 0 1.664 * [backup-simplify]: Simplify 1 into 1 1.664 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 1.664 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.664 * [taylor]: Taking taylor expansion of U in J 1.664 * [backup-simplify]: Simplify U into U 1.664 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 1.664 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.664 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.664 * [taylor]: Taking taylor expansion of 1/2 in J 1.664 * [backup-simplify]: Simplify 1/2 into 1/2 1.664 * [taylor]: Taking taylor expansion of K in J 1.664 * [backup-simplify]: Simplify K into K 1.664 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.664 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.664 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.664 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.664 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.664 * [backup-simplify]: Simplify (- 0) into 0 1.664 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.665 * [backup-simplify]: Simplify (* 1 1) into 1 1.665 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.665 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.665 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 1.665 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 1.665 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 1.665 * [taylor]: Taking taylor expansion of 1/4 in K 1.665 * [backup-simplify]: Simplify 1/4 into 1/4 1.665 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 1.665 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.665 * [taylor]: Taking taylor expansion of J in K 1.665 * [backup-simplify]: Simplify J into J 1.665 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 1.665 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.665 * [taylor]: Taking taylor expansion of U in K 1.665 * [backup-simplify]: Simplify U into U 1.665 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 1.665 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.665 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.665 * [taylor]: Taking taylor expansion of 1/2 in K 1.665 * [backup-simplify]: Simplify 1/2 into 1/2 1.665 * [taylor]: Taking taylor expansion of K in K 1.665 * [backup-simplify]: Simplify 0 into 0 1.665 * [backup-simplify]: Simplify 1 into 1 1.667 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.667 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.667 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.667 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.667 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.667 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 1.668 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 1.668 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 1.668 * [taylor]: Taking taylor expansion of 1/4 in U 1.668 * [backup-simplify]: Simplify 1/4 into 1/4 1.668 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 1.668 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.668 * [taylor]: Taking taylor expansion of J in U 1.668 * [backup-simplify]: Simplify J into J 1.668 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 1.668 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.668 * [taylor]: Taking taylor expansion of U in U 1.668 * [backup-simplify]: Simplify 0 into 0 1.668 * [backup-simplify]: Simplify 1 into 1 1.668 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 1.668 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.668 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.668 * [taylor]: Taking taylor expansion of 1/2 in U 1.668 * [backup-simplify]: Simplify 1/2 into 1/2 1.668 * [taylor]: Taking taylor expansion of K in U 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 * [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 1.669 * [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 (* J J) into (pow J 2) 1.669 * [backup-simplify]: Simplify (* 1 1) into 1 1.669 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.669 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 1.669 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 1.669 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 1.669 * [taylor]: Taking taylor expansion of 1/4 in U 1.669 * [backup-simplify]: Simplify 1/4 into 1/4 1.670 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 1.670 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.670 * [taylor]: Taking taylor expansion of J in U 1.670 * [backup-simplify]: Simplify J into J 1.670 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 1.670 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.670 * [taylor]: Taking taylor expansion of U in U 1.670 * [backup-simplify]: Simplify 0 into 0 1.670 * [backup-simplify]: Simplify 1 into 1 1.670 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 1.670 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.670 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.670 * [taylor]: Taking taylor expansion of 1/2 in U 1.670 * [backup-simplify]: Simplify 1/2 into 1/2 1.670 * [taylor]: Taking taylor expansion of K in U 1.670 * [backup-simplify]: Simplify K into K 1.670 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.670 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.670 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.670 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.670 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.670 * [backup-simplify]: Simplify (- 0) into 0 1.670 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.670 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.671 * [backup-simplify]: Simplify (* 1 1) into 1 1.671 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.671 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 1.671 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 1.671 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1.671 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in K 1.671 * [taylor]: Taking taylor expansion of 1/4 in K 1.671 * [backup-simplify]: Simplify 1/4 into 1/4 1.671 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in K 1.671 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.671 * [taylor]: Taking taylor expansion of J in K 1.671 * [backup-simplify]: Simplify J into J 1.671 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 1.671 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.671 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.671 * [taylor]: Taking taylor expansion of 1/2 in K 1.671 * [backup-simplify]: Simplify 1/2 into 1/2 1.671 * [taylor]: Taking taylor expansion of K in K 1.671 * [backup-simplify]: Simplify 0 into 0 1.671 * [backup-simplify]: Simplify 1 into 1 1.672 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.672 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.672 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.672 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.672 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 1.672 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1.672 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 1.672 * [taylor]: Taking taylor expansion of 1/4 in J 1.672 * [backup-simplify]: Simplify 1/4 into 1/4 1.672 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 1.672 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.672 * [taylor]: Taking taylor expansion of J in J 1.672 * [backup-simplify]: Simplify 0 into 0 1.672 * [backup-simplify]: Simplify 1 into 1 1.672 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 1.672 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.672 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.672 * [taylor]: Taking taylor expansion of 1/2 in J 1.672 * [backup-simplify]: Simplify 1/2 into 1/2 1.672 * [taylor]: Taking taylor expansion of K in J 1.672 * [backup-simplify]: Simplify K into K 1.672 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.672 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.672 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.672 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.672 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.673 * [backup-simplify]: Simplify (- 0) into 0 1.673 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.673 * [backup-simplify]: Simplify (* 1 1) into 1 1.673 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.673 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 1.673 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1.673 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1.673 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.674 * [backup-simplify]: Simplify (+ 0) into 0 1.674 * [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 1.675 * [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 (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.676 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.676 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.676 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 1.677 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 1.677 * [taylor]: Taking taylor expansion of 0 in K 1.677 * [backup-simplify]: Simplify 0 into 0 1.677 * [taylor]: Taking taylor expansion of 0 in J 1.677 * [backup-simplify]: Simplify 0 into 0 1.677 * [backup-simplify]: Simplify 0 into 0 1.677 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.677 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.677 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 1.678 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 1.678 * [taylor]: Taking taylor expansion of 0 in J 1.678 * [backup-simplify]: Simplify 0 into 0 1.678 * [backup-simplify]: Simplify 0 into 0 1.678 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.678 * [backup-simplify]: Simplify (+ 0) into 0 1.679 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.679 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.679 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.679 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.680 * [backup-simplify]: Simplify (- 0) into 0 1.680 * [backup-simplify]: Simplify (+ 0 0) into 0 1.680 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.680 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 1.681 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 1.681 * [backup-simplify]: Simplify 0 into 0 1.681 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.681 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.682 * [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 1.683 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 1.684 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.685 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 1.685 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 1.685 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 1.685 * [taylor]: Taking taylor expansion of 0 in K 1.685 * [backup-simplify]: Simplify 0 into 0 1.686 * [taylor]: Taking taylor expansion of 0 in J 1.686 * [backup-simplify]: Simplify 0 into 0 1.686 * [backup-simplify]: Simplify 0 into 0 1.686 * [taylor]: Taking taylor expansion of 0 in J 1.686 * [backup-simplify]: Simplify 0 into 0 1.686 * [backup-simplify]: Simplify 0 into 0 1.686 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.686 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 1.686 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 1.687 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) 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 (* (/ 1/4 (pow (cos (/ 1/2 (/ 1 K))) 2)) (pow (* (/ 1 J) (* 1 (/ 1 (/ 1 U)))) 2)) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1.688 * [backup-simplify]: Simplify (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1.688 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in (U K J) around 0 1.688 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 1.688 * [taylor]: Taking taylor expansion of 1/4 in J 1.688 * [backup-simplify]: Simplify 1/4 into 1/4 1.688 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 1.688 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.688 * [taylor]: Taking taylor expansion of J in J 1.688 * [backup-simplify]: Simplify 0 into 0 1.688 * [backup-simplify]: Simplify 1 into 1 1.688 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 1.688 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 1.688 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.688 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.688 * [taylor]: Taking taylor expansion of -1/2 in J 1.688 * [backup-simplify]: Simplify -1/2 into -1/2 1.688 * [taylor]: Taking taylor expansion of K in J 1.688 * [backup-simplify]: Simplify K into K 1.688 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.688 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.688 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.688 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.688 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.688 * [backup-simplify]: Simplify (- 0) into 0 1.688 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.688 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.688 * [taylor]: Taking taylor expansion of U in J 1.689 * [backup-simplify]: Simplify U into U 1.689 * [backup-simplify]: Simplify (* 1 1) into 1 1.689 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.689 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.689 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 1.689 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 1.689 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 1.689 * [taylor]: Taking taylor expansion of 1/4 in K 1.689 * [backup-simplify]: Simplify 1/4 into 1/4 1.689 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 1.689 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.689 * [taylor]: Taking taylor expansion of J in K 1.689 * [backup-simplify]: Simplify J into J 1.689 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 1.689 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 1.689 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.689 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.689 * [taylor]: Taking taylor expansion of -1/2 in K 1.689 * [backup-simplify]: Simplify -1/2 into -1/2 1.689 * [taylor]: Taking taylor expansion of K in K 1.689 * [backup-simplify]: Simplify 0 into 0 1.689 * [backup-simplify]: Simplify 1 into 1 1.690 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.690 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.690 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.690 * [taylor]: Taking taylor expansion of U in K 1.690 * [backup-simplify]: Simplify U into U 1.690 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.690 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.690 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.690 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 1.690 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 1.690 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 1.690 * [taylor]: Taking taylor expansion of 1/4 in U 1.690 * [backup-simplify]: Simplify 1/4 into 1/4 1.690 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 1.690 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.690 * [taylor]: Taking taylor expansion of J in U 1.690 * [backup-simplify]: Simplify J into J 1.690 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 1.690 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 1.690 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.690 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.690 * [taylor]: Taking taylor expansion of -1/2 in U 1.690 * [backup-simplify]: Simplify -1/2 into -1/2 1.690 * [taylor]: Taking taylor expansion of K in U 1.690 * [backup-simplify]: Simplify K into K 1.690 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.690 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.690 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.690 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.690 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.691 * [backup-simplify]: Simplify (- 0) into 0 1.691 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.691 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.691 * [taylor]: Taking taylor expansion of U in U 1.691 * [backup-simplify]: Simplify 0 into 0 1.691 * [backup-simplify]: Simplify 1 into 1 1.691 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.691 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.691 * [backup-simplify]: Simplify (* 1 1) into 1 1.691 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 1.691 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 1.691 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 1.691 * [taylor]: Taking taylor expansion of 1/4 in U 1.691 * [backup-simplify]: Simplify 1/4 into 1/4 1.691 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 1.691 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.691 * [taylor]: Taking taylor expansion of J in U 1.691 * [backup-simplify]: Simplify J into J 1.691 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 1.692 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 1.692 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.692 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.692 * [taylor]: Taking taylor expansion of -1/2 in U 1.692 * [backup-simplify]: Simplify -1/2 into -1/2 1.692 * [taylor]: Taking taylor expansion of K in U 1.692 * [backup-simplify]: Simplify K into K 1.692 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.692 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.692 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.692 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.692 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.692 * [backup-simplify]: Simplify (- 0) into 0 1.692 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.692 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.692 * [taylor]: Taking taylor expansion of U in U 1.692 * [backup-simplify]: Simplify 0 into 0 1.692 * [backup-simplify]: Simplify 1 into 1 1.692 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.693 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.693 * [backup-simplify]: Simplify (* 1 1) into 1 1.693 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 1.693 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 1.694 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1.694 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in K 1.694 * [taylor]: Taking taylor expansion of 1/4 in K 1.694 * [backup-simplify]: Simplify 1/4 into 1/4 1.694 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in K 1.694 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.694 * [taylor]: Taking taylor expansion of J in K 1.694 * [backup-simplify]: Simplify J into J 1.694 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 1.694 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.694 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.694 * [taylor]: Taking taylor expansion of -1/2 in K 1.694 * [backup-simplify]: Simplify -1/2 into -1/2 1.694 * [taylor]: Taking taylor expansion of K in K 1.694 * [backup-simplify]: Simplify 0 into 0 1.694 * [backup-simplify]: Simplify 1 into 1 1.694 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.695 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.695 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.695 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.695 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 1.695 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1.695 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 1.695 * [taylor]: Taking taylor expansion of 1/4 in J 1.695 * [backup-simplify]: Simplify 1/4 into 1/4 1.695 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 1.695 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.695 * [taylor]: Taking taylor expansion of J in J 1.695 * [backup-simplify]: Simplify 0 into 0 1.695 * [backup-simplify]: Simplify 1 into 1 1.695 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) 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 1.696 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.696 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.696 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 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)) 1.697 * [backup-simplify]: Simplify (* 1 1) into 1 1.697 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.697 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 1.697 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1.697 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1.697 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.698 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.698 * [backup-simplify]: Simplify (+ 0) into 0 1.699 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.699 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.700 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.700 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.701 * [backup-simplify]: Simplify (- 0) into 0 1.701 * [backup-simplify]: Simplify (+ 0 0) into 0 1.701 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.702 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 1.702 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 1.703 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 1.703 * [taylor]: Taking taylor expansion of 0 in K 1.703 * [backup-simplify]: Simplify 0 into 0 1.703 * [taylor]: Taking taylor expansion of 0 in J 1.703 * [backup-simplify]: Simplify 0 into 0 1.704 * [backup-simplify]: Simplify 0 into 0 1.704 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.704 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.704 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 1.704 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 1.704 * [taylor]: Taking taylor expansion of 0 in J 1.704 * [backup-simplify]: Simplify 0 into 0 1.704 * [backup-simplify]: Simplify 0 into 0 1.705 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.705 * [backup-simplify]: Simplify (+ 0) into 0 1.705 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.706 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.706 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.706 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.706 * [backup-simplify]: Simplify (- 0) into 0 1.707 * [backup-simplify]: Simplify (+ 0 0) into 0 1.707 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.707 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 1.707 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 1.707 * [backup-simplify]: Simplify 0 into 0 1.708 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.708 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.709 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.709 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.709 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.710 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.710 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.710 * [backup-simplify]: Simplify (- 0) into 0 1.710 * [backup-simplify]: Simplify (+ 0 0) into 0 1.711 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 1.711 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 1.711 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 1.712 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 1.712 * [taylor]: Taking taylor expansion of 0 in K 1.712 * [backup-simplify]: Simplify 0 into 0 1.712 * [taylor]: Taking taylor expansion of 0 in J 1.712 * [backup-simplify]: Simplify 0 into 0 1.712 * [backup-simplify]: Simplify 0 into 0 1.712 * [taylor]: Taking taylor expansion of 0 in J 1.712 * [backup-simplify]: Simplify 0 into 0 1.712 * [backup-simplify]: Simplify 0 into 0 1.712 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.713 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 1.713 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 1.714 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 1.714 * [taylor]: Taking taylor expansion of 0 in J 1.714 * [backup-simplify]: Simplify 0 into 0 1.714 * [backup-simplify]: Simplify 0 into 0 1.714 * [backup-simplify]: Simplify (* (/ 1/4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)) (pow (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U))))) 2)) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1.714 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.714 * [backup-simplify]: Simplify (* (cos (/ K 2)) J) into (* (cos (* 1/2 K)) J) 1.714 * [approximate]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in (K J) around 0 1.714 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 1.714 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.714 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.714 * [taylor]: Taking taylor expansion of 1/2 in J 1.714 * [backup-simplify]: Simplify 1/2 into 1/2 1.714 * [taylor]: Taking taylor expansion of K in J 1.714 * [backup-simplify]: Simplify K into K 1.714 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.714 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.714 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.714 * [taylor]: Taking taylor expansion of J in J 1.714 * [backup-simplify]: Simplify 0 into 0 1.715 * [backup-simplify]: Simplify 1 into 1 1.715 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 1.715 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.715 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.715 * [taylor]: Taking taylor expansion of 1/2 in K 1.715 * [backup-simplify]: Simplify 1/2 into 1/2 1.715 * [taylor]: Taking taylor expansion of K in K 1.715 * [backup-simplify]: Simplify 0 into 0 1.715 * [backup-simplify]: Simplify 1 into 1 1.715 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.715 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.715 * [taylor]: Taking taylor expansion of J in K 1.715 * [backup-simplify]: Simplify J into J 1.715 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 1.716 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.716 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.716 * [taylor]: Taking taylor expansion of 1/2 in K 1.716 * [backup-simplify]: Simplify 1/2 into 1/2 1.716 * [taylor]: Taking taylor expansion of K in K 1.716 * [backup-simplify]: Simplify 0 into 0 1.716 * [backup-simplify]: Simplify 1 into 1 1.716 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.716 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.716 * [taylor]: Taking taylor expansion of J in K 1.716 * [backup-simplify]: Simplify J into J 1.716 * [backup-simplify]: Simplify (* 1 J) into J 1.716 * [taylor]: Taking taylor expansion of J in J 1.716 * [backup-simplify]: Simplify 0 into 0 1.716 * [backup-simplify]: Simplify 1 into 1 1.716 * [backup-simplify]: Simplify 0 into 0 1.717 * [backup-simplify]: Simplify (+ 0) into 0 1.717 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 1.717 * [taylor]: Taking taylor expansion of 0 in J 1.717 * [backup-simplify]: Simplify 0 into 0 1.717 * [backup-simplify]: Simplify 0 into 0 1.717 * [backup-simplify]: Simplify 1 into 1 1.718 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 1.718 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J)) 1.718 * [taylor]: Taking taylor expansion of (- (* 1/8 J)) in J 1.718 * [taylor]: Taking taylor expansion of (* 1/8 J) in J 1.718 * [taylor]: Taking taylor expansion of 1/8 in J 1.718 * [backup-simplify]: Simplify 1/8 into 1/8 1.718 * [taylor]: Taking taylor expansion of J in J 1.718 * [backup-simplify]: Simplify 0 into 0 1.718 * [backup-simplify]: Simplify 1 into 1 1.719 * [backup-simplify]: Simplify (* 1/8 0) into 0 1.719 * [backup-simplify]: Simplify (- 0) into 0 1.719 * [backup-simplify]: Simplify 0 into 0 1.719 * [backup-simplify]: Simplify 0 into 0 1.719 * [backup-simplify]: Simplify 0 into 0 1.719 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1.720 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.721 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0 1.721 * [taylor]: Taking taylor expansion of 0 in J 1.721 * [backup-simplify]: Simplify 0 into 0 1.721 * [backup-simplify]: Simplify 0 into 0 1.721 * [backup-simplify]: Simplify (+ (* 1/8 1) (* 0 0)) into 1/8 1.722 * [backup-simplify]: Simplify (- 1/8) into -1/8 1.722 * [backup-simplify]: Simplify -1/8 into -1/8 1.722 * [backup-simplify]: Simplify 0 into 0 1.722 * [backup-simplify]: Simplify 0 into 0 1.722 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.724 * [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 1.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (+ (* 0 0) (* 1/384 J))))) into (* 1/384 J) 1.725 * [taylor]: Taking taylor expansion of (* 1/384 J) in J 1.725 * [taylor]: Taking taylor expansion of 1/384 in J 1.725 * [backup-simplify]: Simplify 1/384 into 1/384 1.725 * [taylor]: Taking taylor expansion of J in J 1.725 * [backup-simplify]: Simplify 0 into 0 1.725 * [backup-simplify]: Simplify 1 into 1 1.725 * [backup-simplify]: Simplify (* 1/384 0) into 0 1.726 * [backup-simplify]: Simplify 0 into 0 1.726 * [backup-simplify]: Simplify 0 into 0 1.726 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 1) (* 0 0))) into 0 1.726 * [backup-simplify]: Simplify (- 0) into 0 1.726 * [backup-simplify]: Simplify 0 into 0 1.726 * [backup-simplify]: Simplify 0 into 0 1.727 * [backup-simplify]: Simplify (+ (* -1/8 (* J (pow K 2))) (* 1 (* J 1))) into (- J (* 1/8 (* (pow K 2) J))) 1.727 * [backup-simplify]: Simplify (* (cos (/ (/ 1 K) 2)) (/ 1 J)) into (/ (cos (/ 1/2 K)) J) 1.727 * [approximate]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in (K J) around 0 1.727 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 1.727 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.727 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.727 * [taylor]: Taking taylor expansion of 1/2 in J 1.727 * [backup-simplify]: Simplify 1/2 into 1/2 1.727 * [taylor]: Taking taylor expansion of K in J 1.727 * [backup-simplify]: Simplify K into K 1.727 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.727 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.727 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.727 * [taylor]: Taking taylor expansion of J in J 1.727 * [backup-simplify]: Simplify 0 into 0 1.727 * [backup-simplify]: Simplify 1 into 1 1.727 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.727 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.728 * [backup-simplify]: Simplify (- 0) into 0 1.728 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.728 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.728 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 1.728 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.728 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.728 * [taylor]: Taking taylor expansion of 1/2 in K 1.728 * [backup-simplify]: Simplify 1/2 into 1/2 1.728 * [taylor]: Taking taylor expansion of K in K 1.728 * [backup-simplify]: Simplify 0 into 0 1.728 * [backup-simplify]: Simplify 1 into 1 1.728 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.728 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.728 * [taylor]: Taking taylor expansion of J in K 1.728 * [backup-simplify]: Simplify J into J 1.728 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 1.728 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 1.728 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.728 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.728 * [taylor]: Taking taylor expansion of 1/2 in K 1.728 * [backup-simplify]: Simplify 1/2 into 1/2 1.728 * [taylor]: Taking taylor expansion of K in K 1.728 * [backup-simplify]: Simplify 0 into 0 1.728 * [backup-simplify]: Simplify 1 into 1 1.729 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.729 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.729 * [taylor]: Taking taylor expansion of J in K 1.729 * [backup-simplify]: Simplify J into J 1.729 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 1.729 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 1.729 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.729 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.729 * [taylor]: Taking taylor expansion of 1/2 in J 1.729 * [backup-simplify]: Simplify 1/2 into 1/2 1.729 * [taylor]: Taking taylor expansion of K in J 1.729 * [backup-simplify]: Simplify K into K 1.729 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.729 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.729 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.729 * [taylor]: Taking taylor expansion of J in J 1.729 * [backup-simplify]: Simplify 0 into 0 1.729 * [backup-simplify]: Simplify 1 into 1 1.729 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.729 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.729 * [backup-simplify]: Simplify (- 0) into 0 1.730 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.730 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.730 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.730 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 1.730 * [taylor]: Taking taylor expansion of 0 in J 1.730 * [backup-simplify]: Simplify 0 into 0 1.730 * [backup-simplify]: Simplify (+ 0) into 0 1.730 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.731 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.731 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.731 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.732 * [backup-simplify]: Simplify (- 0) into 0 1.732 * [backup-simplify]: Simplify (+ 0 0) into 0 1.733 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 1.733 * [backup-simplify]: Simplify 0 into 0 1.733 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.733 * [taylor]: Taking taylor expansion of 0 in J 1.733 * [backup-simplify]: Simplify 0 into 0 1.733 * [backup-simplify]: Simplify 0 into 0 1.734 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.735 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.735 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.736 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.736 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.737 * [backup-simplify]: Simplify (- 0) into 0 1.737 * [backup-simplify]: Simplify (+ 0 0) into 0 1.738 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.738 * [backup-simplify]: Simplify 0 into 0 1.739 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.739 * [taylor]: Taking taylor expansion of 0 in J 1.739 * [backup-simplify]: Simplify 0 into 0 1.739 * [backup-simplify]: Simplify 0 into 0 1.739 * [backup-simplify]: Simplify 0 into 0 1.740 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.741 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.741 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.742 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.743 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.743 * [backup-simplify]: Simplify (- 0) into 0 1.744 * [backup-simplify]: Simplify (+ 0 0) into 0 1.745 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.746 * [backup-simplify]: Simplify 0 into 0 1.746 * [backup-simplify]: Simplify (* (cos (/ 1/2 (/ 1 K))) (* (/ 1 (/ 1 J)) 1)) into (* (cos (* 1/2 K)) J) 1.746 * [backup-simplify]: Simplify (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))) into (* -1 (/ (cos (/ -1/2 K)) J)) 1.746 * [approximate]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 K)) J)) in (K J) around 0 1.746 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 K)) J)) in J 1.746 * [taylor]: Taking taylor expansion of -1 in J 1.746 * [backup-simplify]: Simplify -1 into -1 1.746 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 1.746 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.746 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.746 * [taylor]: Taking taylor expansion of -1/2 in J 1.746 * [backup-simplify]: Simplify -1/2 into -1/2 1.746 * [taylor]: Taking taylor expansion of K in J 1.746 * [backup-simplify]: Simplify K into K 1.746 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.746 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.746 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.746 * [taylor]: Taking taylor expansion of J in J 1.746 * [backup-simplify]: Simplify 0 into 0 1.746 * [backup-simplify]: Simplify 1 into 1 1.747 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.747 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.747 * [backup-simplify]: Simplify (- 0) into 0 1.747 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.747 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.747 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 K)) J)) in K 1.747 * [taylor]: Taking taylor expansion of -1 in K 1.747 * [backup-simplify]: Simplify -1 into -1 1.747 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 1.747 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.747 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.747 * [taylor]: Taking taylor expansion of -1/2 in K 1.747 * [backup-simplify]: Simplify -1/2 into -1/2 1.747 * [taylor]: Taking taylor expansion of K in K 1.747 * [backup-simplify]: Simplify 0 into 0 1.747 * [backup-simplify]: Simplify 1 into 1 1.748 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.748 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.748 * [taylor]: Taking taylor expansion of J in K 1.748 * [backup-simplify]: Simplify J into J 1.748 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 1.748 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 K)) J)) in K 1.748 * [taylor]: Taking taylor expansion of -1 in K 1.748 * [backup-simplify]: Simplify -1 into -1 1.748 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 1.748 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.748 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.748 * [taylor]: Taking taylor expansion of -1/2 in K 1.748 * [backup-simplify]: Simplify -1/2 into -1/2 1.748 * [taylor]: Taking taylor expansion of K in K 1.748 * [backup-simplify]: Simplify 0 into 0 1.748 * [backup-simplify]: Simplify 1 into 1 1.749 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.749 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.749 * [taylor]: Taking taylor expansion of J in K 1.749 * [backup-simplify]: Simplify J into J 1.749 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 1.749 * [backup-simplify]: Simplify (* -1 (/ (cos (/ -1/2 K)) J)) into (* -1 (/ (cos (/ -1/2 K)) J)) 1.749 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 K)) J)) in J 1.749 * [taylor]: Taking taylor expansion of -1 in J 1.749 * [backup-simplify]: Simplify -1 into -1 1.749 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 1.749 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.749 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.749 * [taylor]: Taking taylor expansion of -1/2 in J 1.749 * [backup-simplify]: Simplify -1/2 into -1/2 1.749 * [taylor]: Taking taylor expansion of K in J 1.749 * [backup-simplify]: Simplify K into K 1.750 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.750 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.750 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.750 * [taylor]: Taking taylor expansion of J in J 1.750 * [backup-simplify]: Simplify 0 into 0 1.750 * [backup-simplify]: Simplify 1 into 1 1.750 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.750 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.750 * [backup-simplify]: Simplify (- 0) into 0 1.750 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.750 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.751 * [backup-simplify]: Simplify (* -1 (cos (/ -1/2 K))) into (* -1 (cos (/ -1/2 K))) 1.751 * [backup-simplify]: Simplify (* -1 (cos (/ -1/2 K))) into (* -1 (cos (/ -1/2 K))) 1.751 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0 1.751 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (cos (/ -1/2 K)) J))) into 0 1.751 * [taylor]: Taking taylor expansion of 0 in J 1.751 * [backup-simplify]: Simplify 0 into 0 1.752 * [backup-simplify]: Simplify (+ 0) into 0 1.752 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.753 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.753 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.754 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.754 * [backup-simplify]: Simplify (- 0) into 0 1.754 * [backup-simplify]: Simplify (+ 0 0) into 0 1.755 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 1.756 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cos (/ -1/2 K)))) into 0 1.756 * [backup-simplify]: Simplify 0 into 0 1.756 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.757 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (cos (/ -1/2 K)) J)))) into 0 1.757 * [taylor]: Taking taylor expansion of 0 in J 1.757 * [backup-simplify]: Simplify 0 into 0 1.757 * [backup-simplify]: Simplify 0 into 0 1.758 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.759 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.759 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.760 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.760 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.761 * [backup-simplify]: Simplify (- 0) into 0 1.761 * [backup-simplify]: Simplify (+ 0 0) into 0 1.762 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.764 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 1.764 * [backup-simplify]: Simplify 0 into 0 1.764 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.765 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ -1/2 K)) J))))) into 0 1.765 * [taylor]: Taking taylor expansion of 0 in J 1.765 * [backup-simplify]: Simplify 0 into 0 1.765 * [backup-simplify]: Simplify 0 into 0 1.765 * [backup-simplify]: Simplify 0 into 0 1.766 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.767 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.767 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.769 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.770 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.770 * [backup-simplify]: Simplify (- 0) into 0 1.771 * [backup-simplify]: Simplify (+ 0 0) into 0 1.773 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.774 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 1.774 * [backup-simplify]: Simplify 0 into 0 1.774 * [backup-simplify]: Simplify (* (* -1 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (/ 1 (- J))) 1)) into (* (cos (* 1/2 K)) J) 1.774 * * * [progress]: simplifying candidates 1.774 * * * * [progress]: [ 1 / 143 ] simplifiying candidate # 1.774 * * * * [progress]: [ 2 / 143 ] simplifiying candidate # 1.774 * * * * [progress]: [ 3 / 143 ] simplifiying candidate # 1.775 * * * * [progress]: [ 4 / 143 ] simplifiying candidate # 1.775 * * * * [progress]: [ 5 / 143 ] simplifiying candidate # 1.775 * * * * [progress]: [ 6 / 143 ] simplifiying candidate # 1.775 * * * * [progress]: [ 7 / 143 ] simplifiying candidate # 1.775 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) 1.775 * * [simplify]: iters left: 6 (15 enodes) 1.785 * * [simplify]: iters left: 5 (59 enodes) 1.805 * * [simplify]: iters left: 4 (112 enodes) 1.858 * * [simplify]: iters left: 3 (365 enodes) 2.112 * * [simplify]: Extracting #0: cost 1 inf + 0 2.112 * * [simplify]: Extracting #1: cost 4 inf + 0 2.112 * * [simplify]: Extracting #2: cost 7 inf + 0 2.112 * * [simplify]: Extracting #3: cost 10 inf + 0 2.113 * * [simplify]: Extracting #4: cost 122 inf + 1 2.115 * * [simplify]: Extracting #5: cost 241 inf + 89 2.118 * * [simplify]: Extracting #6: cost 203 inf + 3666 2.126 * * [simplify]: Extracting #7: cost 128 inf + 17960 2.154 * * [simplify]: Extracting #8: cost 13 inf + 45848 2.183 * * [simplify]: Extracting #9: cost 0 inf + 48961 2.209 * [simplify]: Simplified to (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) 2.209 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (* (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (sqrt (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J))) 2.209 * * * * [progress]: [ 8 / 143 ] simplifiying candidate # 2.209 * [simplify]: Simplifying (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) 2.209 * * [simplify]: iters left: 6 (14 enodes) 2.213 * * [simplify]: iters left: 5 (55 enodes) 2.224 * * [simplify]: iters left: 4 (108 enodes) 2.260 * * [simplify]: iters left: 3 (363 enodes) 2.516 * * [simplify]: Extracting #0: cost 1 inf + 0 2.516 * * [simplify]: Extracting #1: cost 3 inf + 0 2.516 * * [simplify]: Extracting #2: cost 5 inf + 0 2.516 * * [simplify]: Extracting #3: cost 8 inf + 0 2.516 * * [simplify]: Extracting #4: cost 123 inf + 1 2.517 * * [simplify]: Extracting #5: cost 234 inf + 420 2.519 * * [simplify]: Extracting #6: cost 203 inf + 3175 2.523 * * [simplify]: Extracting #7: cost 127 inf + 18949 2.549 * * [simplify]: Extracting #8: cost 7 inf + 46860 2.569 * * [simplify]: Extracting #9: cost 0 inf + 48232 2.584 * [simplify]: Simplified to (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 2.584 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (* (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J))) 2.585 * * * * [progress]: [ 9 / 143 ] simplifiying candidate # 2.585 * [simplify]: Simplifying (sqrt 1) 2.585 * * [simplify]: iters left: 1 (2 enodes) 2.587 * * [simplify]: Extracting #0: cost 1 inf + 0 2.587 * * [simplify]: Extracting #1: cost 0 inf + 1 2.587 * [simplify]: Simplified to 1 2.587 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (* 1 (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) -2) (* (cos (/ K 2)) J))) 2.587 * * * * [progress]: [ 10 / 143 ] simplifiying candidate # 2.587 * [simplify]: Simplifying (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3))) 2.587 * * [simplify]: iters left: 6 (16 enodes) 2.597 * * [simplify]: iters left: 5 (70 enodes) 2.618 * * [simplify]: iters left: 4 (176 enodes) 2.747 * * [simplify]: Extracting #0: cost 1 inf + 0 2.747 * * [simplify]: Extracting #1: cost 3 inf + 0 2.747 * * [simplify]: Extracting #2: cost 6 inf + 0 2.747 * * [simplify]: Extracting #3: cost 103 inf + 1 2.748 * * [simplify]: Extracting #4: cost 306 inf + 6 2.749 * * [simplify]: Extracting #5: cost 338 inf + 1810 2.753 * * [simplify]: Extracting #6: cost 242 inf + 27932 2.782 * * [simplify]: Extracting #7: cost 28 inf + 100762 2.825 * * [simplify]: Extracting #8: cost 0 inf + 110036 2.847 * [simplify]: Simplified to (sqrt (+ 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 2.847 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (/ (sqrt (+ 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) -2) (* (cos (/ K 2)) J))) 2.848 * * * * [progress]: [ 11 / 143 ] simplifiying candidate # 2.848 * [simplify]: Simplifying (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* 1 1))) 2.848 * * [simplify]: iters left: 6 (15 enodes) 2.853 * * [simplify]: iters left: 5 (62 enodes) 2.866 * * [simplify]: iters left: 4 (150 enodes) 2.983 * * [simplify]: Extracting #0: cost 1 inf + 0 2.983 * * [simplify]: Extracting #1: cost 3 inf + 0 2.983 * * [simplify]: Extracting #2: cost 9 inf + 0 2.983 * * [simplify]: Extracting #3: cost 105 inf + 2 2.985 * * [simplify]: Extracting #4: cost 286 inf + 6 2.987 * * [simplify]: Extracting #5: cost 280 inf + 1923 2.995 * * [simplify]: Extracting #6: cost 191 inf + 25190 3.025 * * [simplify]: Extracting #7: cost 26 inf + 76271 3.056 * * [simplify]: Extracting #8: cost 0 inf + 85028 3.075 * [simplify]: Simplified to (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) 3.075 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (/ (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) -2) (* (cos (/ K 2)) J))) 3.075 * * * * [progress]: [ 12 / 143 ] simplifiying candidate # 3.075 * [simplify]: Simplifying (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3.076 * * [simplify]: iters left: 6 (12 enodes) 3.079 * * [simplify]: iters left: 5 (49 enodes) 3.088 * * [simplify]: iters left: 4 (102 enodes) 3.123 * * [simplify]: iters left: 3 (356 enodes) 3.380 * * [simplify]: Extracting #0: cost 1 inf + 0 3.380 * * [simplify]: Extracting #1: cost 4 inf + 0 3.380 * * [simplify]: Extracting #2: cost 116 inf + 1 3.381 * * [simplify]: Extracting #3: cost 234 inf + 254 3.383 * * [simplify]: Extracting #4: cost 192 inf + 4198 3.388 * * [simplify]: Extracting #5: cost 121 inf + 19235 3.402 * * [simplify]: Extracting #6: cost 5 inf + 46310 3.432 * * [simplify]: Extracting #7: cost 0 inf + 47117 3.446 * * [simplify]: Extracting #8: cost 0 inf + 46998 3.461 * [simplify]: Simplified to (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 3.461 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (pow (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (/ 1 2)) -2) (* (cos (/ K 2)) J))) 3.461 * * * * [progress]: [ 13 / 143 ] simplifiying candidate # 3.461 * * * * [progress]: [ 14 / 143 ] simplifiying candidate # 3.461 * [simplify]: Simplifying (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 3.462 * * [simplify]: iters left: 6 (13 enodes) 3.471 * * [simplify]: iters left: 5 (52 enodes) 3.489 * * [simplify]: iters left: 4 (105 enodes) 3.515 * * [simplify]: iters left: 3 (359 enodes) 3.755 * * [simplify]: Extracting #0: cost 1 inf + 0 3.755 * * [simplify]: Extracting #1: cost 3 inf + 0 3.755 * * [simplify]: Extracting #2: cost 6 inf + 0 3.755 * * [simplify]: Extracting #3: cost 118 inf + 1 3.756 * * [simplify]: Extracting #4: cost 235 inf + 336 3.758 * * [simplify]: Extracting #5: cost 193 inf + 4402 3.762 * * [simplify]: Extracting #6: cost 119 inf + 19348 3.778 * * [simplify]: Extracting #7: cost 7 inf + 46040 3.802 * * [simplify]: Extracting #8: cost 0 inf + 47488 3.821 * [simplify]: Simplified to (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 3.821 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (fabs (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) -2) (* (cos (/ K 2)) J))) 3.821 * * * * [progress]: [ 15 / 143 ] simplifiying candidate # 3.821 * * * * [progress]: [ 16 / 143 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J)))> 3.821 * * * * [progress]: [ 17 / 143 ] simplifiying candidate # 3.822 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)) 3.822 * * [simplify]: iters left: 6 (16 enodes) 3.826 * * [simplify]: iters left: 5 (67 enodes) 3.841 * * [simplify]: iters left: 4 (143 enodes) 3.906 * * [simplify]: iters left: 3 (434 enodes) 4.111 * * [simplify]: Extracting #0: cost 1 inf + 0 4.111 * * [simplify]: Extracting #1: cost 19 inf + 0 4.111 * * [simplify]: Extracting #2: cost 31 inf + 2 4.111 * * [simplify]: Extracting #3: cost 36 inf + 44 4.112 * * [simplify]: Extracting #4: cost 142 inf + 89 4.113 * * [simplify]: Extracting #5: cost 232 inf + 4336 4.125 * * [simplify]: Extracting #6: cost 40 inf + 43927 4.156 * * [simplify]: Extracting #7: cost 2 inf + 54059 4.190 * * [simplify]: Extracting #8: cost 0 inf + 54749 4.225 * [simplify]: Simplified to (* (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) J)) 4.225 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) J)) 1)) 4.225 * * * * [progress]: [ 18 / 143 ] simplifiying candidate # 4.225 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)) 4.226 * * [simplify]: iters left: 6 (16 enodes) 4.235 * * [simplify]: iters left: 5 (67 enodes) 4.258 * * [simplify]: iters left: 4 (143 enodes) 4.323 * * [simplify]: iters left: 3 (434 enodes) 4.572 * * [simplify]: Extracting #0: cost 1 inf + 0 4.572 * * [simplify]: Extracting #1: cost 19 inf + 0 4.572 * * [simplify]: Extracting #2: cost 31 inf + 2 4.573 * * [simplify]: Extracting #3: cost 36 inf + 44 4.573 * * [simplify]: Extracting #4: cost 142 inf + 89 4.577 * * [simplify]: Extracting #5: cost 232 inf + 4336 4.599 * * [simplify]: Extracting #6: cost 40 inf + 43927 4.633 * * [simplify]: Extracting #7: cost 2 inf + 54059 4.650 * * [simplify]: Extracting #8: cost 0 inf + 54749 4.674 * [simplify]: Simplified to (* (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) J)) 4.674 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) J)) 1)) 4.674 * * * * [progress]: [ 19 / 143 ] simplifiying candidate # 4.675 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)) 4.675 * * [simplify]: iters left: 6 (16 enodes) 4.684 * * [simplify]: iters left: 5 (67 enodes) 4.699 * * [simplify]: iters left: 4 (143 enodes) 4.741 * * [simplify]: iters left: 3 (434 enodes) 5.047 * * [simplify]: Extracting #0: cost 1 inf + 0 5.047 * * [simplify]: Extracting #1: cost 19 inf + 0 5.047 * * [simplify]: Extracting #2: cost 31 inf + 2 5.047 * * [simplify]: Extracting #3: cost 36 inf + 44 5.048 * * [simplify]: Extracting #4: cost 142 inf + 89 5.050 * * [simplify]: Extracting #5: cost 232 inf + 4336 5.061 * * [simplify]: Extracting #6: cost 40 inf + 43927 5.091 * * [simplify]: Extracting #7: cost 2 inf + 54059 5.124 * * [simplify]: Extracting #8: cost 0 inf + 54749 5.158 * [simplify]: Simplified to (* (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) J)) 5.158 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) J)) 1)) 5.158 * * * * [progress]: [ 20 / 143 ] simplifiying candidate # 5.159 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)) 5.159 * * [simplify]: iters left: 6 (16 enodes) 5.168 * * [simplify]: iters left: 5 (67 enodes) 5.192 * * [simplify]: iters left: 4 (143 enodes) 5.257 * * [simplify]: iters left: 3 (434 enodes) 5.493 * * [simplify]: Extracting #0: cost 1 inf + 0 5.493 * * [simplify]: Extracting #1: cost 19 inf + 0 5.494 * * [simplify]: Extracting #2: cost 31 inf + 2 5.494 * * [simplify]: Extracting #3: cost 36 inf + 44 5.495 * * [simplify]: Extracting #4: cost 142 inf + 89 5.499 * * [simplify]: Extracting #5: cost 232 inf + 4336 5.520 * * [simplify]: Extracting #6: cost 40 inf + 43927 5.551 * * [simplify]: Extracting #7: cost 2 inf + 54059 5.572 * * [simplify]: Extracting #8: cost 0 inf + 54749 5.607 * [simplify]: Simplified to (* (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) J)) 5.607 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) J)) 1)) 5.607 * * * * [progress]: [ 21 / 143 ] simplifiying candidate # 5.607 * * * * [progress]: [ 22 / 143 ] simplifiying candidate # 5.608 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (+ (log (cos (/ K 2))) (log J))) 5.608 * * [simplify]: iters left: 6 (21 enodes) 5.620 * * [simplify]: iters left: 5 (83 enodes) 5.648 * * [simplify]: iters left: 4 (159 enodes) 5.718 * * [simplify]: iters left: 3 (450 enodes) 5.996 * * [simplify]: Extracting #0: cost 1 inf + 0 5.996 * * [simplify]: Extracting #1: cost 17 inf + 0 5.996 * * [simplify]: Extracting #2: cost 35 inf + 0 5.997 * * [simplify]: Extracting #3: cost 35 inf + 144 5.997 * * [simplify]: Extracting #4: cost 39 inf + 397 5.998 * * [simplify]: Extracting #5: cost 149 inf + 653 6.002 * * [simplify]: Extracting #6: cost 241 inf + 4041 6.019 * * [simplify]: Extracting #7: cost 67 inf + 41321 6.058 * * [simplify]: Extracting #8: cost 2 inf + 59818 6.085 * * [simplify]: Extracting #9: cost 0 inf + 60617 6.102 * [simplify]: Simplified to (+ (+ (log -2) (log (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (+ (log (cos (/ K 2))) (log J))) 6.102 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (log -2) (log (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (+ (log (cos (/ K 2))) (log J))))) 6.102 * * * * [progress]: [ 23 / 143 ] simplifiying candidate # 6.103 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (log (* (cos (/ K 2)) J))) 6.103 * * [simplify]: iters left: 6 (19 enodes) 6.108 * * [simplify]: iters left: 5 (77 enodes) 6.124 * * [simplify]: iters left: 4 (149 enodes) 6.165 * * [simplify]: iters left: 3 (437 enodes) 6.448 * * [simplify]: Extracting #0: cost 1 inf + 0 6.448 * * [simplify]: Extracting #1: cost 16 inf + 0 6.453 * * [simplify]: Extracting #2: cost 35 inf + 0 6.453 * * [simplify]: Extracting #3: cost 36 inf + 144 6.453 * * [simplify]: Extracting #4: cost 39 inf + 579 6.454 * * [simplify]: Extracting #5: cost 147 inf + 653 6.458 * * [simplify]: Extracting #6: cost 234 inf + 5707 6.479 * * [simplify]: Extracting #7: cost 48 inf + 45584 6.514 * * [simplify]: Extracting #8: cost 2 inf + 58533 6.537 * * [simplify]: Extracting #9: cost 0 inf + 59248 6.558 * [simplify]: Simplified to (+ (log (* (cos (/ K 2)) J)) (+ (log -2) (log (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) 6.558 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log (* (cos (/ K 2)) J)) (+ (log -2) (log (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))) 6.558 * * * * [progress]: [ 24 / 143 ] simplifiying candidate # 6.559 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (+ (log (cos (/ K 2))) (log J))) 6.559 * * [simplify]: iters left: 6 (20 enodes) 6.569 * * [simplify]: iters left: 5 (81 enodes) 6.599 * * [simplify]: iters left: 4 (153 enodes) 6.639 * * [simplify]: iters left: 3 (441 enodes) 6.915 * * [simplify]: Extracting #0: cost 1 inf + 0 6.915 * * [simplify]: Extracting #1: cost 16 inf + 0 6.915 * * [simplify]: Extracting #2: cost 35 inf + 0 6.915 * * [simplify]: Extracting #3: cost 38 inf + 2 6.916 * * [simplify]: Extracting #4: cost 42 inf + 144 6.916 * * [simplify]: Extracting #5: cost 145 inf + 653 6.919 * * [simplify]: Extracting #6: cost 246 inf + 3631 6.928 * * [simplify]: Extracting #7: cost 70 inf + 39778 6.946 * * [simplify]: Extracting #8: cost 2 inf + 58947 6.982 * * [simplify]: Extracting #9: cost 0 inf + 59856 7.021 * * [simplify]: Extracting #10: cost 0 inf + 59855 7.054 * [simplify]: Simplified to (+ (+ (log J) (log (cos (/ K 2)))) (log (* -2 (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))))) 7.054 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (log J) (log (cos (/ K 2)))) (log (* -2 (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))))))) 7.055 * * * * [progress]: [ 25 / 143 ] simplifiying candidate # 7.055 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (log (* (cos (/ K 2)) J))) 7.055 * * [simplify]: iters left: 6 (18 enodes) 7.060 * * [simplify]: iters left: 5 (75 enodes) 7.074 * * [simplify]: iters left: 4 (146 enodes) 7.130 * * [simplify]: iters left: 3 (432 enodes) 7.398 * * [simplify]: Extracting #0: cost 1 inf + 0 7.399 * * [simplify]: Extracting #1: cost 16 inf + 0 7.399 * * [simplify]: Extracting #2: cost 36 inf + 0 7.399 * * [simplify]: Extracting #3: cost 38 inf + 144 7.399 * * [simplify]: Extracting #4: cost 41 inf + 468 7.399 * * [simplify]: Extracting #5: cost 150 inf + 653 7.402 * * [simplify]: Extracting #6: cost 220 inf + 8356 7.412 * * [simplify]: Extracting #7: cost 49 inf + 44223 7.429 * * [simplify]: Extracting #8: cost 4 inf + 57371 7.461 * * [simplify]: Extracting #9: cost 0 inf + 59271 7.496 * [simplify]: Simplified to (+ (log (* -2 (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (log (* (cos (/ K 2)) J))) 7.497 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log (* -2 (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (log (* (cos (/ K 2)) J))))) 7.497 * * * * [progress]: [ 26 / 143 ] simplifiying candidate # 7.497 * * * * [progress]: [ 27 / 143 ] simplifiying candidate # 7.497 * * * * [progress]: [ 28 / 143 ] simplifiying candidate # 7.497 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* -2 -2) -2)) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J))) 7.498 * * [simplify]: iters left: 6 (25 enodes) 7.512 * * [simplify]: iters left: 5 (106 enodes) 7.556 * * [simplify]: iters left: 4 (290 enodes) 7.757 * * [simplify]: Extracting #0: cost 1 inf + 0 7.757 * * [simplify]: Extracting #1: cost 60 inf + 0 7.758 * * [simplify]: Extracting #2: cost 290 inf + 4 7.759 * * [simplify]: Extracting #3: cost 386 inf + 336 7.764 * * [simplify]: Extracting #4: cost 335 inf + 25383 7.788 * * [simplify]: Extracting #5: cost 110 inf + 100606 7.839 * * [simplify]: Extracting #6: cost 6 inf + 147667 7.898 * * [simplify]: Extracting #7: cost 0 inf + 150742 7.945 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))) (* (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))) (* -8 (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) 7.945 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))) (* (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))) (* -8 (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))))) 7.945 * * * * [progress]: [ 29 / 143 ] simplifiying candidate # 7.946 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* -2 -2) -2)) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))) 7.946 * * [simplify]: iters left: 6 (22 enodes) 7.952 * * [simplify]: iters left: 5 (100 enodes) 7.974 * * [simplify]: iters left: 4 (294 enodes) 8.153 * * [simplify]: Extracting #0: cost 1 inf + 0 8.153 * * [simplify]: Extracting #1: cost 60 inf + 0 8.154 * * [simplify]: Extracting #2: cost 296 inf + 45 8.155 * * [simplify]: Extracting #3: cost 387 inf + 838 8.166 * * [simplify]: Extracting #4: cost 321 inf + 30714 8.197 * * [simplify]: Extracting #5: cost 92 inf + 107949 8.259 * * [simplify]: Extracting #6: cost 2 inf + 149823 8.316 * * [simplify]: Extracting #7: cost 0 inf + 150712 8.366 * [simplify]: Simplified to (* (* (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (* -8 (* (cos (/ K 2)) J)) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))) 8.366 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (* -8 (* (cos (/ K 2)) J)) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))))) 8.366 * * * * [progress]: [ 30 / 143 ] simplifiying candidate # 8.367 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J))) 8.367 * * [simplify]: iters left: 6 (23 enodes) 8.378 * * [simplify]: iters left: 5 (106 enodes) 8.399 * * [simplify]: iters left: 4 (272 enodes) 8.536 * * [simplify]: Extracting #0: cost 1 inf + 0 8.536 * * [simplify]: Extracting #1: cost 52 inf + 0 8.537 * * [simplify]: Extracting #2: cost 237 inf + 2 8.538 * * [simplify]: Extracting #3: cost 242 inf + 291 8.540 * * [simplify]: Extracting #4: cost 268 inf + 3688 8.548 * * [simplify]: Extracting #5: cost 226 inf + 37118 8.596 * * [simplify]: Extracting #6: cost 18 inf + 117250 8.639 * * [simplify]: Extracting #7: cost 0 inf + 126135 8.682 * * [simplify]: Extracting #8: cost 0 inf + 126134 8.728 * [simplify]: Simplified to (* (* (sqrt (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))))) (* -8 (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J)))))) (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))) 8.728 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (sqrt (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))))) (* -8 (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J)))))) (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))))) 8.728 * * * * [progress]: [ 31 / 143 ] simplifiying candidate # 8.729 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))) 8.729 * * [simplify]: iters left: 6 (20 enodes) 8.741 * * [simplify]: iters left: 5 (100 enodes) 8.783 * * [simplify]: iters left: 4 (276 enodes) 8.904 * * [simplify]: Extracting #0: cost 1 inf + 0 8.904 * * [simplify]: Extracting #1: cost 53 inf + 0 8.905 * * [simplify]: Extracting #2: cost 239 inf + 43 8.906 * * [simplify]: Extracting #3: cost 239 inf + 415 8.907 * * [simplify]: Extracting #4: cost 270 inf + 3145 8.916 * * [simplify]: Extracting #5: cost 251 inf + 23178 8.941 * * [simplify]: Extracting #6: cost 106 inf + 68699 8.979 * * [simplify]: Extracting #7: cost 10 inf + 115190 9.016 * * [simplify]: Extracting #8: cost 0 inf + 120330 9.061 * [simplify]: Simplified to (* (* (* -8 (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) 9.061 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* -8 (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) 9.061 * * * * [progress]: [ 32 / 143 ] simplifiying candidate # 9.061 * * * * [progress]: [ 33 / 143 ] simplifiying candidate # 9.061 * * * * [progress]: [ 34 / 143 ] simplifiying candidate # 9.061 * * * * [progress]: [ 35 / 143 ] simplifiying candidate # 9.061 * * * * [progress]: [ 36 / 143 ] simplifiying candidate # 9.061 * * * * [progress]: [ 37 / 143 ] simplifiying candidate # 9.062 * [simplify]: Simplifying (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 9.062 * * [simplify]: iters left: 6 (13 enodes) 9.065 * * [simplify]: iters left: 5 (52 enodes) 9.075 * * [simplify]: iters left: 4 (105 enodes) 9.110 * * [simplify]: iters left: 3 (359 enodes) 9.317 * * [simplify]: Extracting #0: cost 1 inf + 0 9.317 * * [simplify]: Extracting #1: cost 3 inf + 0 9.317 * * [simplify]: Extracting #2: cost 6 inf + 0 9.317 * * [simplify]: Extracting #3: cost 118 inf + 1 9.318 * * [simplify]: Extracting #4: cost 235 inf + 336 9.320 * * [simplify]: Extracting #5: cost 193 inf + 4402 9.324 * * [simplify]: Extracting #6: cost 119 inf + 19348 9.342 * * [simplify]: Extracting #7: cost 7 inf + 46040 9.368 * * [simplify]: Extracting #8: cost 0 inf + 47488 9.383 * [simplify]: Simplified to (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 9.383 * [simplify]: Simplified (2 1) to (λ (J K U) (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* -2 (* (cos (/ K 2)) J)))) 9.383 * * * * [progress]: [ 38 / 143 ] simplifiying candidate # 9.383 * [simplify]: Simplifying (* (* (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3))) -2) (* (cos (/ K 2)) J)) 9.383 * * [simplify]: iters left: 6 (19 enodes) 9.391 * * [simplify]: iters left: 5 (85 enodes) 9.418 * * [simplify]: iters left: 4 (216 enodes) 9.891 * * [simplify]: Extracting #0: cost 1 inf + 0 9.891 * * [simplify]: Extracting #1: cost 16 inf + 0 9.891 * * [simplify]: Extracting #2: cost 27 inf + 44 9.891 * * [simplify]: Extracting #3: cost 32 inf + 86 9.898 * * [simplify]: Extracting #4: cost 125 inf + 89 9.899 * * [simplify]: Extracting #5: cost 329 inf + 858 9.904 * * [simplify]: Extracting #6: cost 272 inf + 29285 9.938 * * [simplify]: Extracting #7: cost 76 inf + 96357 9.992 * * [simplify]: Extracting #8: cost 1 inf + 124961 10.048 * * [simplify]: Extracting #9: cost 0 inf + 125265 10.091 * [simplify]: Simplified to (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) 10.092 * [simplify]: Simplified (2 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) 10.092 * * * * [progress]: [ 39 / 143 ] simplifiying candidate # 10.092 * [simplify]: Simplifying (* (* (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* 1 1))) -2) (* (cos (/ K 2)) J)) 10.092 * * [simplify]: iters left: 6 (18 enodes) 10.098 * * [simplify]: iters left: 5 (77 enodes) 10.121 * * [simplify]: iters left: 4 (190 enodes) 10.225 * * [simplify]: Extracting #0: cost 1 inf + 0 10.225 * * [simplify]: Extracting #1: cost 16 inf + 0 10.225 * * [simplify]: Extracting #2: cost 28 inf + 2 10.225 * * [simplify]: Extracting #3: cost 35 inf + 86 10.226 * * [simplify]: Extracting #4: cost 122 inf + 90 10.228 * * [simplify]: Extracting #5: cost 296 inf + 1624 10.237 * * [simplify]: Extracting #6: cost 126 inf + 54777 10.261 * * [simplify]: Extracting #7: cost 1 inf + 93095 10.287 * * [simplify]: Extracting #8: cost 0 inf + 93560 10.315 * [simplify]: Simplified to (* (* -2 (* (cos (/ K 2)) J)) (sqrt (- (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1))) 10.315 * [simplify]: Simplified (2 1) to (λ (J K U) (/ (* (* -2 (* (cos (/ K 2)) J)) (sqrt (- (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1))) (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) 10.315 * * * * [progress]: [ 40 / 143 ] simplifiying candidate #real (real->posit16 (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))> 10.316 * * * * [progress]: [ 41 / 143 ] simplifiying candidate # 10.316 * * * * [progress]: [ 42 / 143 ] simplifiying candidate # 10.316 * [simplify]: Simplifying (/ U (* 2 (* (cos (/ K 2)) J))) 10.316 * * [simplify]: iters left: 6 (9 enodes) 10.321 * * [simplify]: iters left: 5 (33 enodes) 10.332 * * [simplify]: iters left: 4 (51 enodes) 10.344 * * [simplify]: iters left: 3 (68 enodes) 10.353 * * [simplify]: iters left: 2 (73 enodes) 10.363 * * [simplify]: Extracting #0: cost 1 inf + 0 10.363 * * [simplify]: Extracting #1: cost 12 inf + 0 10.363 * * [simplify]: Extracting #2: cost 21 inf + 3 10.363 * * [simplify]: Extracting #3: cost 21 inf + 337 10.364 * * [simplify]: Extracting #4: cost 12 inf + 1158 10.364 * * [simplify]: Extracting #5: cost 0 inf + 3114 10.365 * [simplify]: Simplified to (/ (/ U (* J 2)) (cos (/ K 2))) 10.365 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (pow (/ (/ U (* J 2)) (cos (/ K 2))) (+ 1 1)) 1)) -2) (* (cos (/ K 2)) J))) 10.365 * [simplify]: Simplifying (+ 1 1) 10.365 * * [simplify]: iters left: 2 (2 enodes) 10.366 * * [simplify]: iters left: 1 (9 enodes) 10.368 * * [simplify]: Extracting #0: cost 1 inf + 0 10.368 * * [simplify]: Extracting #1: cost 0 inf + 1 10.368 * [simplify]: Simplified to 2 10.368 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (pow (/ U (* 2 (* (cos (/ K 2)) J))) 2) 1)) -2) (* (cos (/ K 2)) J))) 10.369 * * * * [progress]: [ 43 / 143 ] simplifiying candidate # 10.369 * [simplify]: Simplifying (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 10.369 * * [simplify]: iters left: 6 (10 enodes) 10.374 * * [simplify]: iters left: 5 (40 enodes) 10.389 * * [simplify]: iters left: 4 (91 enodes) 10.437 * * [simplify]: iters left: 3 (345 enodes) 10.706 * * [simplify]: Extracting #0: cost 1 inf + 0 10.706 * * [simplify]: Extracting #1: cost 119 inf + 0 10.709 * * [simplify]: Extracting #2: cost 236 inf + 45 10.712 * * [simplify]: Extracting #3: cost 207 inf + 2474 10.722 * * [simplify]: Extracting #4: cost 104 inf + 22392 10.751 * * [simplify]: Extracting #5: cost 6 inf + 45410 10.780 * * [simplify]: Extracting #6: cost 0 inf + 46788 10.809 * * [simplify]: Extracting #7: cost 0 inf + 46787 10.834 * [simplify]: Simplified to (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) 10.835 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (pow (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) 1) 1)) -2) (* (cos (/ K 2)) J))) 10.835 * * * * [progress]: [ 44 / 143 ] simplifiying candidate # 10.835 * * * * [progress]: [ 45 / 143 ] simplifiying candidate # 10.835 * [simplify]: Simplifying (/ U (* 2 (* (cos (/ K 2)) J))) 10.835 * * [simplify]: iters left: 6 (9 enodes) 10.838 * * [simplify]: iters left: 5 (33 enodes) 10.843 * * [simplify]: iters left: 4 (51 enodes) 10.851 * * [simplify]: iters left: 3 (68 enodes) 10.865 * * [simplify]: iters left: 2 (73 enodes) 10.885 * * [simplify]: Extracting #0: cost 1 inf + 0 10.885 * * [simplify]: Extracting #1: cost 12 inf + 0 10.885 * * [simplify]: Extracting #2: cost 21 inf + 3 10.885 * * [simplify]: Extracting #3: cost 21 inf + 337 10.886 * * [simplify]: Extracting #4: cost 12 inf + 1158 10.887 * * [simplify]: Extracting #5: cost 0 inf + 3114 10.888 * [simplify]: Simplified to (/ (/ U (* J 2)) (cos (/ K 2))) 10.888 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (pow (/ (/ U (* J 2)) (cos (/ K 2))) (+ 1 1)) 1)) -2) (* (cos (/ K 2)) J))) 10.888 * * * * [progress]: [ 46 / 143 ] simplifiying candidate # 10.889 * * * * [progress]: [ 47 / 143 ] simplifiying candidate # 10.889 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J)))) (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J))))) 10.889 * * [simplify]: iters left: 6 (14 enodes) 10.896 * * [simplify]: iters left: 5 (54 enodes) 10.915 * * [simplify]: iters left: 4 (119 enodes) 10.977 * * [simplify]: iters left: 3 (457 enodes) 11.496 * * [simplify]: Extracting #0: cost 1 inf + 0 11.496 * * [simplify]: Extracting #1: cost 87 inf + 0 11.498 * * [simplify]: Extracting #2: cost 441 inf + 0 11.501 * * [simplify]: Extracting #3: cost 435 inf + 3488 11.505 * * [simplify]: Extracting #4: cost 350 inf + 25733 11.523 * * [simplify]: Extracting #5: cost 181 inf + 99937 11.578 * * [simplify]: Extracting #6: cost 13 inf + 179498 11.633 * * [simplify]: Extracting #7: cost 0 inf + 185853 11.693 * [simplify]: Simplified to (+ (- (- (log U) (log 2)) (+ (log J) (log (cos (/ K 2))))) (- (- (log U) (log 2)) (+ (log J) (log (cos (/ K 2)))))) 11.693 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (- (- (log U) (log 2)) (+ (log J) (log (cos (/ K 2))))) (- (- (log U) (log 2)) (+ (log J) (log (cos (/ K 2))))))) 1)) -2) (* (cos (/ K 2)) J))) 11.693 * * * * [progress]: [ 48 / 143 ] simplifiying candidate # 11.693 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J)))) (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J))))) 11.693 * * [simplify]: iters left: 6 (18 enodes) 11.698 * * [simplify]: iters left: 5 (62 enodes) 11.709 * * [simplify]: iters left: 4 (132 enodes) 11.743 * * [simplify]: iters left: 3 (478 enodes) 12.278 * * [simplify]: Extracting #0: cost 1 inf + 0 12.278 * * [simplify]: Extracting #1: cost 82 inf + 0 12.281 * * [simplify]: Extracting #2: cost 445 inf + 0 12.283 * * [simplify]: Extracting #3: cost 428 inf + 6272 12.288 * * [simplify]: Extracting #4: cost 350 inf + 27083 12.302 * * [simplify]: Extracting #5: cost 195 inf + 92277 12.358 * * [simplify]: Extracting #6: cost 8 inf + 176798 12.435 * * [simplify]: Extracting #7: cost 0 inf + 179724 12.482 * [simplify]: Simplified to (+ (- (- (log U) (log 2)) (log (* (cos (/ K 2)) J))) (- (- (log U) (log 2)) (log (* (cos (/ K 2)) J)))) 12.482 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (- (- (log U) (log 2)) (log (* (cos (/ K 2)) J))) (- (- (log U) (log 2)) (log (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J))) 12.483 * * * * [progress]: [ 49 / 143 ] simplifiying candidate # 12.483 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J)))) (- (log U) (log (* 2 (* (cos (/ K 2)) J))))) 12.483 * * [simplify]: iters left: 6 (18 enodes) 12.487 * * [simplify]: iters left: 5 (75 enodes) 12.509 * * [simplify]: iters left: 4 (150 enodes) 12.573 * * [simplify]: iters left: 3 (441 enodes) 12.976 * * [simplify]: Extracting #0: cost 1 inf + 0 12.977 * * [simplify]: Extracting #1: cost 83 inf + 0 12.978 * * [simplify]: Extracting #2: cost 392 inf + 0 12.985 * * [simplify]: Extracting #3: cost 353 inf + 11476 12.990 * * [simplify]: Extracting #4: cost 305 inf + 24860 13.004 * * [simplify]: Extracting #5: cost 144 inf + 93825 13.055 * * [simplify]: Extracting #6: cost 4 inf + 152810 13.105 * * [simplify]: Extracting #7: cost 0 inf + 148235 13.147 * * [simplify]: Extracting #8: cost 0 inf + 147415 13.213 * [simplify]: Simplified to (+ (- (log U) (log (* 2 (* (cos (/ K 2)) J)))) (- (log U) (log (* 2 (* (cos (/ K 2)) J))))) 13.213 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (- (log U) (log (* 2 (* (cos (/ K 2)) J)))) (- (log U) (log (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J))) 13.214 * * * * [progress]: [ 50 / 143 ] simplifiying candidate # 13.214 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J)))) (log (/ U (* 2 (* (cos (/ K 2)) J))))) 13.214 * * [simplify]: iters left: 6 (18 enodes) 13.225 * * [simplify]: iters left: 5 (73 enodes) 13.240 * * [simplify]: iters left: 4 (158 enodes) 13.272 * * [simplify]: iters left: 3 (401 enodes) 13.469 * * [simplify]: Extracting #0: cost 1 inf + 0 13.469 * * [simplify]: Extracting #1: cost 75 inf + 0 13.470 * * [simplify]: Extracting #2: cost 294 inf + 0 13.471 * * [simplify]: Extracting #3: cost 333 inf + 1095 13.473 * * [simplify]: Extracting #4: cost 297 inf + 8726 13.479 * * [simplify]: Extracting #5: cost 207 inf + 35649 13.504 * * [simplify]: Extracting #6: cost 32 inf + 113007 13.543 * * [simplify]: Extracting #7: cost 3 inf + 120686 13.576 * * [simplify]: Extracting #8: cost 0 inf + 119948 13.623 * * [simplify]: Extracting #9: cost 0 inf + 119908 13.670 * [simplify]: Simplified to (+ (log (/ (/ (/ U J) 2) (cos (/ K 2)))) (log (/ (/ (/ U J) 2) (cos (/ K 2))))) 13.670 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (log (/ (/ (/ U J) 2) (cos (/ K 2)))) (log (/ (/ (/ U J) 2) (cos (/ K 2)))))) 1)) -2) (* (cos (/ K 2)) J))) 13.670 * * * * [progress]: [ 51 / 143 ] simplifiying candidate # 13.670 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J))))) 13.671 * * [simplify]: iters left: 6 (18 enodes) 13.680 * * [simplify]: iters left: 5 (63 enodes) 13.702 * * [simplify]: iters left: 4 (128 enodes) 13.763 * * [simplify]: iters left: 3 (467 enodes) 14.185 * * [simplify]: Extracting #0: cost 1 inf + 0 14.185 * * [simplify]: Extracting #1: cost 87 inf + 0 14.188 * * [simplify]: Extracting #2: cost 459 inf + 0 14.193 * * [simplify]: Extracting #3: cost 444 inf + 6063 14.202 * * [simplify]: Extracting #4: cost 367 inf + 26781 14.230 * * [simplify]: Extracting #5: cost 208 inf + 91682 14.293 * * [simplify]: Extracting #6: cost 16 inf + 181307 14.358 * * [simplify]: Extracting #7: cost 0 inf + 189267 14.438 * [simplify]: Simplified to (+ (- (- (log U) (log (* J (cos (/ K 2))))) (log 2)) (- (- (log U) (log (* J (cos (/ K 2))))) (log 2))) 14.438 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (- (- (log U) (log (* J (cos (/ K 2))))) (log 2)) (- (- (log U) (log (* J (cos (/ K 2))))) (log 2)))) 1)) -2) (* (cos (/ K 2)) J))) 14.438 * * * * [progress]: [ 52 / 143 ] simplifiying candidate # 14.438 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J))))) 14.438 * * [simplify]: iters left: 6 (13 enodes) 14.442 * * [simplify]: iters left: 5 (52 enodes) 14.451 * * [simplify]: iters left: 4 (107 enodes) 14.487 * * [simplify]: iters left: 3 (365 enodes) 14.827 * * [simplify]: Extracting #0: cost 1 inf + 0 14.828 * * [simplify]: Extracting #1: cost 73 inf + 0 14.830 * * [simplify]: Extracting #2: cost 366 inf + 0 14.834 * * [simplify]: Extracting #3: cost 356 inf + 3306 14.845 * * [simplify]: Extracting #4: cost 311 inf + 14304 14.860 * * [simplify]: Extracting #5: cost 182 inf + 63744 14.913 * * [simplify]: Extracting #6: cost 3 inf + 143874 14.951 * * [simplify]: Extracting #7: cost 0 inf + 144974 14.998 * [simplify]: Simplified to (+ (- (- (log U) (log 2)) (log (* J (cos (/ K 2))))) (- (- (log U) (log 2)) (log (* J (cos (/ K 2)))))) 14.998 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (- (- (log U) (log 2)) (log (* J (cos (/ K 2))))) (- (- (log U) (log 2)) (log (* J (cos (/ K 2))))))) 1)) -2) (* (cos (/ K 2)) J))) 14.999 * * * * [progress]: [ 53 / 143 ] simplifiying candidate # 14.999 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J)))) (- (log U) (log (* 2 (* (cos (/ K 2)) J))))) 14.999 * * [simplify]: iters left: 6 (16 enodes) 15.003 * * [simplify]: iters left: 5 (63 enodes) 15.015 * * [simplify]: iters left: 4 (135 enodes) 15.073 * * [simplify]: iters left: 3 (409 enodes) 15.461 * * [simplify]: Extracting #0: cost 1 inf + 0 15.461 * * [simplify]: Extracting #1: cost 70 inf + 0 15.464 * * [simplify]: Extracting #2: cost 384 inf + 0 15.466 * * [simplify]: Extracting #3: cost 371 inf + 5484 15.473 * * [simplify]: Extracting #4: cost 306 inf + 22123 15.489 * * [simplify]: Extracting #5: cost 174 inf + 73482 15.522 * * [simplify]: Extracting #6: cost 9 inf + 144143 15.552 * * [simplify]: Extracting #7: cost 0 inf + 144938 15.583 * * [simplify]: Extracting #8: cost 0 inf + 144748 15.613 * [simplify]: Simplified to (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2)))))) 15.613 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2))))))) 1)) -2) (* (cos (/ K 2)) J))) 15.613 * * * * [progress]: [ 54 / 143 ] simplifiying candidate # 15.614 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J)))) (log (/ U (* 2 (* (cos (/ K 2)) J))))) 15.614 * * [simplify]: iters left: 6 (16 enodes) 15.618 * * [simplify]: iters left: 5 (67 enodes) 15.632 * * [simplify]: iters left: 4 (136 enodes) 15.689 * * [simplify]: iters left: 3 (364 enodes) 15.893 * * [simplify]: Extracting #0: cost 1 inf + 0 15.893 * * [simplify]: Extracting #1: cost 62 inf + 0 15.895 * * [simplify]: Extracting #2: cost 325 inf + 0 15.898 * * [simplify]: Extracting #3: cost 344 inf + 4236 15.902 * * [simplify]: Extracting #4: cost 302 inf + 14346 15.910 * * [simplify]: Extracting #5: cost 171 inf + 62575 15.940 * * [simplify]: Extracting #6: cost 9 inf + 127185 15.989 * * [simplify]: Extracting #7: cost 0 inf + 124566 16.026 * * [simplify]: Extracting #8: cost 0 inf + 124346 16.058 * [simplify]: Simplified to (+ (log (/ (/ U 2) (* J (cos (/ K 2))))) (log (/ (/ U 2) (* J (cos (/ K 2)))))) 16.058 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (log (/ (/ U 2) (* J (cos (/ K 2))))) (log (/ (/ U 2) (* J (cos (/ K 2))))))) 1)) -2) (* (cos (/ K 2)) J))) 16.058 * * * * [progress]: [ 55 / 143 ] simplifiying candidate # 16.058 * [simplify]: Simplifying (+ (- (log U) (log (* 2 (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J))))) 16.059 * * [simplify]: iters left: 6 (18 enodes) 16.068 * * [simplify]: iters left: 5 (75 enodes) 16.094 * * [simplify]: iters left: 4 (153 enodes) 16.141 * * [simplify]: iters left: 3 (475 enodes) 16.568 * * [simplify]: Extracting #0: cost 1 inf + 0 16.568 * * [simplify]: Extracting #1: cost 84 inf + 0 16.571 * * [simplify]: Extracting #2: cost 434 inf + 0 16.577 * * [simplify]: Extracting #3: cost 400 inf + 11081 16.585 * * [simplify]: Extracting #4: cost 349 inf + 23822 16.609 * * [simplify]: Extracting #5: cost 211 inf + 78498 16.656 * * [simplify]: Extracting #6: cost 13 inf + 162504 16.715 * * [simplify]: Extracting #7: cost 0 inf + 165480 16.753 * * [simplify]: Extracting #8: cost 0 inf + 165120 16.805 * [simplify]: Simplified to (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2)))))) 16.805 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2))))))) 1)) -2) (* (cos (/ K 2)) J))) 16.806 * * * * [progress]: [ 56 / 143 ] simplifiying candidate # 16.806 * [simplify]: Simplifying (+ (- (log U) (log (* 2 (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J))))) 16.806 * * [simplify]: iters left: 6 (16 enodes) 16.815 * * [simplify]: iters left: 5 (63 enodes) 16.834 * * [simplify]: iters left: 4 (131 enodes) 16.864 * * [simplify]: iters left: 3 (400 enodes) 17.242 * * [simplify]: Extracting #0: cost 1 inf + 0 17.242 * * [simplify]: Extracting #1: cost 73 inf + 0 17.244 * * [simplify]: Extracting #2: cost 360 inf + 0 17.248 * * [simplify]: Extracting #3: cost 368 inf + 1570 17.254 * * [simplify]: Extracting #4: cost 284 inf + 22316 17.272 * * [simplify]: Extracting #5: cost 181 inf + 60735 17.302 * * [simplify]: Extracting #6: cost 16 inf + 128257 17.356 * * [simplify]: Extracting #7: cost 0 inf + 132824 17.385 * * [simplify]: Extracting #8: cost 0 inf + 132754 17.420 * [simplify]: Simplified to (+ (- (log U) (log (* (* (cos (/ K 2)) J) 2))) (- (log U) (log (* (* (cos (/ K 2)) J) 2)))) 17.420 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (- (log U) (log (* (* (cos (/ K 2)) J) 2))) (- (log U) (log (* (* (cos (/ K 2)) J) 2))))) 1)) -2) (* (cos (/ K 2)) J))) 17.420 * * * * [progress]: [ 57 / 143 ] simplifiying candidate # 17.420 * [simplify]: Simplifying (+ (- (log U) (log (* 2 (* (cos (/ K 2)) J)))) (- (log U) (log (* 2 (* (cos (/ K 2)) J))))) 17.421 * * [simplify]: iters left: 6 (12 enodes) 17.427 * * [simplify]: iters left: 5 (49 enodes) 17.444 * * [simplify]: iters left: 4 (96 enodes) 17.481 * * [simplify]: iters left: 3 (241 enodes) 17.612 * * [simplify]: Extracting #0: cost 1 inf + 0 17.613 * * [simplify]: Extracting #1: cost 49 inf + 0 17.614 * * [simplify]: Extracting #2: cost 251 inf + 0 17.616 * * [simplify]: Extracting #3: cost 249 inf + 1539 17.619 * * [simplify]: Extracting #4: cost 212 inf + 9334 17.623 * * [simplify]: Extracting #5: cost 194 inf + 13677 17.629 * * [simplify]: Extracting #6: cost 164 inf + 24866 17.656 * * [simplify]: Extracting #7: cost 45 inf + 75345 17.690 * * [simplify]: Extracting #8: cost 2 inf + 93245 17.725 * * [simplify]: Extracting #9: cost 0 inf + 93841 17.759 * [simplify]: Simplified to (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2)))))) 17.759 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2))))))) 1)) -2) (* (cos (/ K 2)) J))) 17.759 * * * * [progress]: [ 58 / 143 ] simplifiying candidate # 17.759 * [simplify]: Simplifying (+ (- (log U) (log (* 2 (* (cos (/ K 2)) J)))) (log (/ U (* 2 (* (cos (/ K 2)) J))))) 17.759 * * [simplify]: iters left: 6 (14 enodes) 17.763 * * [simplify]: iters left: 5 (54 enodes) 17.773 * * [simplify]: iters left: 4 (109 enodes) 17.803 * * [simplify]: iters left: 3 (265 enodes) 17.923 * * [simplify]: Extracting #0: cost 1 inf + 0 17.923 * * [simplify]: Extracting #1: cost 49 inf + 0 17.924 * * [simplify]: Extracting #2: cost 242 inf + 0 17.925 * * [simplify]: Extracting #3: cost 259 inf + 523 17.927 * * [simplify]: Extracting #4: cost 212 inf + 10345 17.930 * * [simplify]: Extracting #5: cost 159 inf + 24153 17.945 * * [simplify]: Extracting #6: cost 18 inf + 79713 17.981 * * [simplify]: Extracting #7: cost 0 inf + 86997 17.999 * [simplify]: Simplified to (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J)))) 17.999 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J))) 17.999 * * * * [progress]: [ 59 / 143 ] simplifiying candidate # 17.999 * [simplify]: Simplifying (+ (log (/ U (* 2 (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J))))) 17.999 * * [simplify]: iters left: 6 (18 enodes) 18.004 * * [simplify]: iters left: 5 (73 enodes) 18.018 * * [simplify]: iters left: 4 (156 enodes) 18.078 * * [simplify]: iters left: 3 (366 enodes) 18.286 * * [simplify]: Extracting #0: cost 1 inf + 0 18.286 * * [simplify]: Extracting #1: cost 81 inf + 0 18.287 * * [simplify]: Extracting #2: cost 315 inf + 0 18.289 * * [simplify]: Extracting #3: cost 336 inf + 1721 18.294 * * [simplify]: Extracting #4: cost 282 inf + 12964 18.303 * * [simplify]: Extracting #5: cost 226 inf + 27763 18.337 * * [simplify]: Extracting #6: cost 44 inf + 102658 18.383 * * [simplify]: Extracting #7: cost 0 inf + 118994 18.421 * * [simplify]: Extracting #8: cost 0 inf + 118854 18.451 * [simplify]: Simplified to (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J)))) 18.451 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J))) 18.451 * * * * [progress]: [ 60 / 143 ] simplifiying candidate # 18.452 * [simplify]: Simplifying (+ (log (/ U (* 2 (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J))))) 18.452 * * [simplify]: iters left: 6 (16 enodes) 18.460 * * [simplify]: iters left: 5 (67 enodes) 18.478 * * [simplify]: iters left: 4 (134 enodes) 18.507 * * [simplify]: iters left: 3 (341 enodes) 18.705 * * [simplify]: Extracting #0: cost 1 inf + 0 18.705 * * [simplify]: Extracting #1: cost 69 inf + 0 18.707 * * [simplify]: Extracting #2: cost 344 inf + 0 18.711 * * [simplify]: Extracting #3: cost 365 inf + 1843 18.716 * * [simplify]: Extracting #4: cost 320 inf + 11850 18.733 * * [simplify]: Extracting #5: cost 166 inf + 66434 18.757 * * [simplify]: Extracting #6: cost 7 inf + 128209 18.807 * * [simplify]: Extracting #7: cost 0 inf + 129716 18.861 * * [simplify]: Extracting #8: cost 0 inf + 129576 18.892 * [simplify]: Simplified to (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J)))) 18.892 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J))) 18.892 * * * * [progress]: [ 61 / 143 ] simplifiying candidate # 18.893 * [simplify]: Simplifying (+ (log (/ U (* 2 (* (cos (/ K 2)) J)))) (- (log U) (log (* 2 (* (cos (/ K 2)) J))))) 18.893 * * [simplify]: iters left: 6 (14 enodes) 18.897 * * [simplify]: iters left: 5 (54 enodes) 18.906 * * [simplify]: iters left: 4 (106 enodes) 18.931 * * [simplify]: iters left: 3 (231 enodes) 19.014 * * [simplify]: Extracting #0: cost 1 inf + 0 19.014 * * [simplify]: Extracting #1: cost 64 inf + 0 19.015 * * [simplify]: Extracting #2: cost 246 inf + 0 19.016 * * [simplify]: Extracting #3: cost 259 inf + 560 19.017 * * [simplify]: Extracting #4: cost 218 inf + 8763 19.021 * * [simplify]: Extracting #5: cost 148 inf + 29077 19.033 * * [simplify]: Extracting #6: cost 27 inf + 76331 19.047 * * [simplify]: Extracting #7: cost 0 inf + 87431 19.074 * * [simplify]: Extracting #8: cost 0 inf + 87391 19.096 * [simplify]: Simplified to (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J)))) 19.096 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J))) 19.097 * * * * [progress]: [ 62 / 143 ] simplifiying candidate # 19.097 * [simplify]: Simplifying (+ (log (/ U (* 2 (* (cos (/ K 2)) J)))) (log (/ U (* 2 (* (cos (/ K 2)) J))))) 19.097 * * [simplify]: iters left: 6 (11 enodes) 19.100 * * [simplify]: iters left: 5 (42 enodes) 19.107 * * [simplify]: iters left: 4 (79 enodes) 19.124 * * [simplify]: iters left: 3 (176 enodes) 19.187 * * [simplify]: iters left: 2 (491 enodes) 19.631 * * [simplify]: Extracting #0: cost 1 inf + 0 19.632 * * [simplify]: Extracting #1: cost 79 inf + 0 19.635 * * [simplify]: Extracting #2: cost 424 inf + 0 19.639 * * [simplify]: Extracting #3: cost 434 inf + 1374 19.643 * * [simplify]: Extracting #4: cost 365 inf + 15165 19.654 * * [simplify]: Extracting #5: cost 222 inf + 60738 19.704 * * [simplify]: Extracting #6: cost 20 inf + 142135 19.745 * * [simplify]: Extracting #7: cost 0 inf + 147485 19.784 * * [simplify]: Extracting #8: cost 0 inf + 147405 19.854 * [simplify]: Simplified to (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J)))) 19.854 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J))) 19.854 * * * * [progress]: [ 63 / 143 ] simplifiying candidate # 19.855 * * * * [progress]: [ 64 / 143 ] simplifiying candidate # 19.855 * * * * [progress]: [ 65 / 143 ] simplifiying candidate # 19.855 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J))))) 19.855 * * [simplify]: iters left: 6 (18 enodes) 19.867 * * [simplify]: iters left: 5 (81 enodes) 19.891 * * [simplify]: iters left: 4 (297 enodes) 20.424 * * [simplify]: Extracting #0: cost 1 inf + 0 20.425 * * [simplify]: Extracting #1: cost 317 inf + 0 20.433 * * [simplify]: Extracting #2: cost 1360 inf + 1186 20.450 * * [simplify]: Extracting #3: cost 1159 inf + 28787 20.482 * * [simplify]: Extracting #4: cost 1067 inf + 46078 20.504 * * [simplify]: Extracting #5: cost 1058 inf + 48222 20.566 * * [simplify]: Extracting #6: cost 700 inf + 217292 20.704 * * [simplify]: Extracting #7: cost 50 inf + 478678 20.926 * * [simplify]: Extracting #8: cost 0 inf + 450895 21.120 * * [simplify]: Extracting #9: cost 0 inf + 450215 21.337 * [simplify]: Simplified to (* (/ (/ (* U U) (/ 8 U)) (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))))) (/ (/ (* U U) (/ 8 U)) (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))))) 21.337 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (/ (/ (* U U) (/ 8 U)) (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))))) (/ (/ (* U U) (/ 8 U)) (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))))))) 1)) -2) (* (cos (/ K 2)) J))) 21.338 * * * * [progress]: [ 66 / 143 ] simplifiying candidate # 21.338 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))))) 21.338 * * [simplify]: iters left: 6 (23 enodes) 21.346 * * [simplify]: iters left: 5 (116 enodes) 21.394 * * [simplify]: iters left: 4 (394 enodes) 22.385 * * [simplify]: Extracting #0: cost 1 inf + 0 22.386 * * [simplify]: Extracting #1: cost 305 inf + 0 22.406 * * [simplify]: Extracting #2: cost 1687 inf + 1266 22.426 * * [simplify]: Extracting #3: cost 1524 inf + 28963 22.449 * * [simplify]: Extracting #4: cost 1425 inf + 42935 22.484 * * [simplify]: Extracting #5: cost 1007 inf + 187192 22.643 * * [simplify]: Extracting #6: cost 91 inf + 536933 22.911 * * [simplify]: Extracting #7: cost 0 inf + 555816 23.105 * * [simplify]: Extracting #8: cost 0 inf + 555016 23.311 * [simplify]: Simplified to (* (/ (/ (/ (* U U) (/ 8 U)) (* J (cos (/ K 2)))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) (/ (/ (/ (* U U) (/ 8 U)) (* J (cos (/ K 2)))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))))) 23.311 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (/ (/ (/ (* U U) (/ 8 U)) (* J (cos (/ K 2)))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) (/ (/ (/ (* U U) (/ 8 U)) (* J (cos (/ K 2)))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))))) 1)) -2) (* (cos (/ K 2)) J))) 23.311 * * * * [progress]: [ 67 / 143 ] simplifiying candidate # 23.312 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J)))) (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))) 23.312 * * [simplify]: iters left: 6 (23 enodes) 23.319 * * [simplify]: iters left: 5 (117 enodes) 23.353 * * [simplify]: Extracting #0: cost 1 inf + 0 23.353 * * [simplify]: Extracting #1: cost 57 inf + 0 23.353 * * [simplify]: Extracting #2: cost 198 inf + 1 23.354 * * [simplify]: Extracting #3: cost 196 inf + 1963 23.355 * * [simplify]: Extracting #4: cost 175 inf + 4048 23.358 * * [simplify]: Extracting #5: cost 138 inf + 14158 23.367 * * [simplify]: Extracting #6: cost 38 inf + 45666 23.391 * * [simplify]: Extracting #7: cost 0 inf + 59703 23.415 * * [simplify]: Extracting #8: cost 0 inf + 58861 23.440 * [simplify]: Simplified to (* (/ (/ (* U (* U U)) 8) (* (* (cos (/ K 2)) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) J)) (/ (/ (* U (* U U)) (* (cos (/ K 2)) (* J 2))) (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2))))) 23.440 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (/ (/ (* U (* U U)) 8) (* (* (cos (/ K 2)) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) J)) (/ (/ (* U (* U U)) (* (cos (/ K 2)) (* J 2))) (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2)))))) 1)) -2) (* (cos (/ K 2)) J))) 23.440 * * * * [progress]: [ 68 / 143 ] simplifiying candidate # 23.440 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J))))) 23.441 * * [simplify]: iters left: 6 (23 enodes) 23.454 * * [simplify]: iters left: 5 (110 enodes) 23.499 * * [simplify]: iters left: 4 (408 enodes) 24.122 * * [simplify]: Extracting #0: cost 1 inf + 0 24.123 * * [simplify]: Extracting #1: cost 349 inf + 0 24.132 * * [simplify]: Extracting #2: cost 1362 inf + 253 24.140 * * [simplify]: Extracting #3: cost 1372 inf + 8215 24.157 * * [simplify]: Extracting #4: cost 1293 inf + 19441 24.191 * * [simplify]: Extracting #5: cost 942 inf + 149702 24.353 * * [simplify]: Extracting #6: cost 118 inf + 513336 24.562 * * [simplify]: Extracting #7: cost 0 inf + 530464 24.751 * * [simplify]: Extracting #8: cost 0 inf + 526424 24.941 * * [simplify]: Extracting #9: cost 0 inf + 526264 25.160 * [simplify]: Simplified to (/ (* (* U (* U U)) (/ (* (/ U (* (* (cos (/ K 2)) 2) J)) (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J)))) 8)) (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))))) 25.160 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (/ (* (* U (* U U)) (/ (* (/ U (* (* (cos (/ K 2)) 2) J)) (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J)))) 8)) (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))))) 1)) -2) (* (cos (/ K 2)) J))) 25.161 * * * * [progress]: [ 69 / 143 ] simplifiying candidate # 25.161 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J))))) 25.161 * * [simplify]: iters left: 6 (23 enodes) 25.176 * * [simplify]: iters left: 5 (116 enodes) 25.240 * * [simplify]: iters left: 4 (400 enodes) 26.554 * * [simplify]: Extracting #0: cost 1 inf + 0 26.555 * * [simplify]: Extracting #1: cost 338 inf + 0 26.561 * * [simplify]: Extracting #2: cost 1775 inf + 1305 26.571 * * [simplify]: Extracting #3: cost 1631 inf + 26639 26.596 * * [simplify]: Extracting #4: cost 1492 inf + 45349 26.654 * * [simplify]: Extracting #5: cost 991 inf + 264110 26.886 * * [simplify]: Extracting #6: cost 19 inf + 641565 27.123 * * [simplify]: Extracting #7: cost 0 inf + 581792 27.344 * * [simplify]: Extracting #8: cost 0 inf + 581352 27.565 * [simplify]: Simplified to (* (/ (* U U) (/ (* (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) 8) U)) (/ (* U U) (/ (* (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) 8) U))) 27.565 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (/ (* U U) (/ (* (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) 8) U)) (/ (* U U) (/ (* (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) 8) U)))) 1)) -2) (* (cos (/ K 2)) J))) 27.566 * * * * [progress]: [ 70 / 143 ] simplifiying candidate # 27.566 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))))) 27.566 * * [simplify]: iters left: 6 (16 enodes) 27.577 * * [simplify]: iters left: 5 (79 enodes) 27.602 * * [simplify]: iters left: 4 (300 enodes) 28.150 * * [simplify]: Extracting #0: cost 1 inf + 0 28.151 * * [simplify]: Extracting #1: cost 276 inf + 0 28.158 * * [simplify]: Extracting #2: cost 1222 inf + 1113 28.172 * * [simplify]: Extracting #3: cost 1095 inf + 16811 28.195 * * [simplify]: Extracting #4: cost 1061 inf + 20800 28.225 * * [simplify]: Extracting #5: cost 657 inf + 183765 28.380 * * [simplify]: Extracting #6: cost 22 inf + 410882 28.514 * * [simplify]: Extracting #7: cost 0 inf + 405405 28.660 * * [simplify]: Extracting #8: cost 0 inf + 405114 28.796 * [simplify]: Simplified to (* (/ (* U (* U U)) (* (* J (cos (/ K 2))) (* (* 8 (* J (cos (/ K 2)))) (* J (cos (/ K 2)))))) (/ (* U (* U U)) (* (* J (cos (/ K 2))) (* (* 8 (* J (cos (/ K 2)))) (* J (cos (/ K 2))))))) 28.797 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (/ (* U (* U U)) (* (* J (cos (/ K 2))) (* (* 8 (* J (cos (/ K 2)))) (* J (cos (/ K 2)))))) (/ (* U (* U U)) (* (* J (cos (/ K 2))) (* (* 8 (* J (cos (/ K 2)))) (* J (cos (/ K 2)))))))) 1)) -2) (* (cos (/ K 2)) J))) 28.797 * * * * [progress]: [ 71 / 143 ] simplifiying candidate # 28.797 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))) 28.797 * * [simplify]: iters left: 6 (20 enodes) 28.804 * * [simplify]: iters left: 5 (110 enodes) 28.857 * * [simplify]: iters left: 4 (486 enodes) 29.749 * * [simplify]: Extracting #0: cost 1 inf + 0 29.749 * * [simplify]: Extracting #1: cost 357 inf + 0 29.761 * * [simplify]: Extracting #2: cost 1671 inf + 4 29.770 * * [simplify]: Extracting #3: cost 1668 inf + 6826 29.781 * * [simplify]: Extracting #4: cost 1547 inf + 21334 29.820 * * [simplify]: Extracting #5: cost 1187 inf + 145252 29.987 * * [simplify]: Extracting #6: cost 120 inf + 563013 30.181 * * [simplify]: Extracting #7: cost 0 inf + 585634 30.411 * * [simplify]: Extracting #8: cost 0 inf + 584467 30.647 * [simplify]: Simplified to (* (* (/ (/ 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)))))) 30.647 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) 1)) -2) (* (cos (/ K 2)) J))) 30.647 * * * * [progress]: [ 72 / 143 ] simplifiying candidate # 30.648 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J))))) 30.648 * * [simplify]: iters left: 6 (20 enodes) 30.662 * * [simplify]: iters left: 5 (104 enodes) 30.694 * * [simplify]: iters left: 4 (410 enodes) 31.377 * * [simplify]: Extracting #0: cost 1 inf + 0 31.378 * * [simplify]: Extracting #1: cost 320 inf + 0 31.382 * * [simplify]: Extracting #2: cost 1273 inf + 422 31.393 * * [simplify]: Extracting #3: cost 1300 inf + 5654 31.400 * * [simplify]: Extracting #4: cost 1233 inf + 13684 31.445 * * [simplify]: Extracting #5: cost 817 inf + 180631 31.938 * * [simplify]: Extracting #6: cost 86 inf + 457006 32.164 * * [simplify]: Extracting #7: cost 0 inf + 479132 32.388 * * [simplify]: Extracting #8: cost 0 inf + 478812 32.536 * [simplify]: Simplified to (* (* (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (/ U 4)) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))))) (/ (/ U 2) (* J (cos (/ K 2))))) 32.536 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (* (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (/ U 4)) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))))) (/ (/ U 2) (* J (cos (/ K 2)))))) 1)) -2) (* (cos (/ K 2)) J))) 32.536 * * * * [progress]: [ 73 / 143 ] simplifiying candidate # 32.537 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J))))) 32.537 * * [simplify]: iters left: 6 (23 enodes) 32.552 * * [simplify]: iters left: 5 (117 enodes) 32.592 * * [simplify]: Extracting #0: cost 1 inf + 0 32.592 * * [simplify]: Extracting #1: cost 57 inf + 0 32.593 * * [simplify]: Extracting #2: cost 198 inf + 1 32.593 * * [simplify]: Extracting #3: cost 195 inf + 2086 32.595 * * [simplify]: Extracting #4: cost 174 inf + 4290 32.598 * * [simplify]: Extracting #5: cost 116 inf + 19820 32.614 * * [simplify]: Extracting #6: cost 12 inf + 57316 32.640 * * [simplify]: Extracting #7: cost 0 inf + 58322 32.664 * [simplify]: Simplified to (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))) (/ (/ (* U (* U U)) 8) (* (* (cos (/ K 2)) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) J))) 32.665 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))) (/ (/ (* U (* U U)) 8) (* (* (cos (/ K 2)) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) J)))) 1)) -2) (* (cos (/ K 2)) J))) 32.665 * * * * [progress]: [ 74 / 143 ] simplifiying candidate # 32.665 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))))) 32.666 * * [simplify]: iters left: 6 (20 enodes) 32.680 * * [simplify]: iters left: 5 (110 enodes) 32.737 * * [simplify]: iters left: 4 (486 enodes) 33.798 * * [simplify]: Extracting #0: cost 1 inf + 0 33.804 * * [simplify]: Extracting #1: cost 354 inf + 0 33.810 * * [simplify]: Extracting #2: cost 1732 inf + 947 33.823 * * [simplify]: Extracting #3: cost 1677 inf + 14777 33.835 * * [simplify]: Extracting #4: cost 1558 inf + 34201 33.954 * * [simplify]: Extracting #5: cost 538 inf + 431020 34.160 * * [simplify]: Extracting #6: cost 7 inf + 614791 34.405 * * [simplify]: Extracting #7: cost 0 inf + 600444 34.608 * * [simplify]: Extracting #8: cost 0 inf + 599228 34.885 * * [simplify]: Extracting #9: cost 0 inf + 599108 35.134 * [simplify]: Simplified to (* (* (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))) (/ U (* (* 2 (cos (/ K 2))) J))) (* (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))) (/ U (* (* 2 (cos (/ K 2))) J)))) 35.134 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (* (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))) (/ U (* (* 2 (cos (/ K 2))) J))) (* (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))) (/ U (* (* 2 (cos (/ K 2))) J))))) 1)) -2) (* (cos (/ K 2)) J))) 35.134 * * * * [progress]: [ 75 / 143 ] simplifiying candidate # 35.134 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))) 35.134 * * [simplify]: iters left: 6 (14 enodes) 35.139 * * [simplify]: iters left: 5 (69 enodes) 35.163 * * [simplify]: iters left: 4 (284 enodes) 35.702 * * [simplify]: Extracting #0: cost 1 inf + 0 35.703 * * [simplify]: Extracting #1: cost 264 inf + 0 35.710 * * [simplify]: Extracting #2: cost 1048 inf + 621 35.720 * * [simplify]: Extracting #3: cost 1004 inf + 7706 35.732 * * [simplify]: Extracting #4: cost 992 inf + 8857 35.769 * * [simplify]: Extracting #5: cost 693 inf + 102376 35.896 * * [simplify]: Extracting #6: cost 68 inf + 348361 36.051 * * [simplify]: Extracting #7: cost 0 inf + 362304 36.167 * * [simplify]: Extracting #8: cost 0 inf + 360357 36.294 * [simplify]: Simplified to (* (* (/ (/ 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))))))) 36.294 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) 1)) -2) (* (cos (/ K 2)) J))) 36.294 * * * * [progress]: [ 76 / 143 ] simplifiying candidate # 36.294 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J))))) 36.294 * * [simplify]: iters left: 6 (17 enodes) 36.299 * * [simplify]: iters left: 5 (87 enodes) 36.338 * * [simplify]: iters left: 4 (347 enodes) 37.027 * * [simplify]: Extracting #0: cost 1 inf + 0 37.027 * * [simplify]: Extracting #1: cost 232 inf + 0 37.030 * * [simplify]: Extracting #2: cost 1150 inf + 375 37.036 * * [simplify]: Extracting #3: cost 1098 inf + 7458 37.048 * * [simplify]: Extracting #4: cost 1069 inf + 11014 37.086 * * [simplify]: Extracting #5: cost 711 inf + 123503 37.256 * * [simplify]: Extracting #6: cost 36 inf + 371223 37.416 * * [simplify]: Extracting #7: cost 0 inf + 378721 37.575 * * [simplify]: Extracting #8: cost 0 inf + 378639 37.730 * [simplify]: Simplified to (* (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) (* (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))))) 37.731 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) (* (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2)))))) 1)) -2) (* (cos (/ K 2)) J))) 37.731 * * * * [progress]: [ 77 / 143 ] simplifiying candidate # 37.731 * [simplify]: Simplifying (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J))))) 37.731 * * [simplify]: iters left: 6 (23 enodes) 37.739 * * [simplify]: iters left: 5 (110 enodes) 37.766 * * [simplify]: iters left: 4 (410 enodes) 38.326 * * [simplify]: Extracting #0: cost 1 inf + 0 38.331 * * [simplify]: Extracting #1: cost 359 inf + 0 38.336 * * [simplify]: Extracting #2: cost 1287 inf + 419 38.343 * * [simplify]: Extracting #3: cost 1261 inf + 9929 38.352 * * [simplify]: Extracting #4: cost 1180 inf + 21019 38.415 * * [simplify]: Extracting #5: cost 735 inf + 199153 38.570 * * [simplify]: Extracting #6: cost 8 inf + 499942 38.743 * * [simplify]: Extracting #7: cost 0 inf + 474987 38.920 * * [simplify]: Extracting #8: cost 0 inf + 473616 39.094 * [simplify]: Simplified to (* (/ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) 8) (/ (* (* U U) U) (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))))) 39.094 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (/ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) 8) (/ (* (* U U) U) (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J))) 39.094 * * * * [progress]: [ 78 / 143 ] simplifiying candidate # 39.094 * [simplify]: Simplifying (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))))) 39.095 * * [simplify]: iters left: 6 (20 enodes) 39.109 * * [simplify]: iters left: 5 (104 enodes) 39.164 * * [simplify]: iters left: 4 (410 enodes) 39.749 * * [simplify]: Extracting #0: cost 1 inf + 0 39.750 * * [simplify]: Extracting #1: cost 333 inf + 0 39.758 * * [simplify]: Extracting #2: cost 1241 inf + 215 39.771 * * [simplify]: Extracting #3: cost 1232 inf + 5451 39.779 * * [simplify]: Extracting #4: cost 1158 inf + 14257 39.814 * * [simplify]: Extracting #5: cost 643 inf + 213569 39.991 * * [simplify]: Extracting #6: cost 28 inf + 452599 40.150 * * [simplify]: Extracting #7: cost 0 inf + 451462 40.312 * * [simplify]: Extracting #8: cost 0 inf + 451384 40.459 * [simplify]: Simplified to (* (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ U 4)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ U (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))))) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) 40.460 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ U 4)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ U (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))))) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) 40.460 * * * * [progress]: [ 79 / 143 ] simplifiying candidate # 40.460 * [simplify]: Simplifying (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))) 40.460 * * [simplify]: iters left: 6 (17 enodes) 40.466 * * [simplify]: iters left: 5 (87 enodes) 40.493 * * [simplify]: iters left: 4 (343 enodes) 41.122 * * [simplify]: Extracting #0: cost 1 inf + 0 41.123 * * [simplify]: Extracting #1: cost 233 inf + 0 41.129 * * [simplify]: Extracting #2: cost 1034 inf + 459 41.149 * * [simplify]: Extracting #3: cost 981 inf + 8158 41.160 * * [simplify]: Extracting #4: cost 963 inf + 10234 41.184 * * [simplify]: Extracting #5: cost 665 inf + 100602 41.312 * * [simplify]: Extracting #6: cost 35 inf + 335827 41.465 * * [simplify]: Extracting #7: cost 0 inf + 343092 41.624 * * [simplify]: Extracting #8: cost 0 inf + 342649 41.746 * [simplify]: Simplified to (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 41.746 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J))) 41.747 * * * * [progress]: [ 80 / 143 ] simplifiying candidate # 41.747 * [simplify]: Simplifying (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J))))) 41.747 * * [simplify]: iters left: 6 (12 enodes) 41.751 * * [simplify]: iters left: 5 (55 enodes) 41.763 * * [simplify]: iters left: 4 (179 enodes) 41.968 * * [simplify]: Extracting #0: cost 1 inf + 0 41.968 * * [simplify]: Extracting #1: cost 111 inf + 0 41.973 * * [simplify]: Extracting #2: cost 476 inf + 4 41.976 * * [simplify]: Extracting #3: cost 509 inf + 1174 41.989 * * [simplify]: Extracting #4: cost 279 inf + 68658 42.059 * * [simplify]: Extracting #5: cost 18 inf + 157912 42.113 * * [simplify]: Extracting #6: cost 0 inf + 164075 42.166 * * [simplify]: Extracting #7: cost 0 inf + 164036 42.245 * [simplify]: Simplified to (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 42.245 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J))) 42.246 * * * * [progress]: [ 81 / 143 ] simplifiying candidate # 42.246 * * * * [progress]: [ 82 / 143 ] simplifiying candidate # 42.246 * * * * [progress]: [ 83 / 143 ] simplifiying candidate # 42.246 * * * * [progress]: [ 84 / 143 ] simplifiying candidate # 42.246 * [simplify]: Simplifying (* U U) 42.246 * * [simplify]: iters left: 2 (2 enodes) 42.247 * * [simplify]: iters left: 1 (6 enodes) 42.249 * * [simplify]: Extracting #0: cost 1 inf + 0 42.249 * * [simplify]: Extracting #1: cost 3 inf + 0 42.249 * * [simplify]: Extracting #2: cost 2 inf + 1 42.249 * * [simplify]: Extracting #3: cost 0 inf + 83 42.249 * [simplify]: Simplified to (* U U) 42.249 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (/ (* U U) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) 42.250 * [simplify]: Simplifying (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) 42.250 * * [simplify]: iters left: 6 (8 enodes) 42.255 * * [simplify]: iters left: 5 (36 enodes) 42.269 * * [simplify]: iters left: 4 (87 enodes) 42.311 * * [simplify]: iters left: 3 (207 enodes) 42.399 * * [simplify]: iters left: 2 (331 enodes) 42.477 * * [simplify]: iters left: 1 (343 enodes) 42.536 * * [simplify]: Extracting #0: cost 1 inf + 0 42.536 * * [simplify]: Extracting #1: cost 27 inf + 0 42.536 * * [simplify]: Extracting #2: cost 45 inf + 126 42.536 * * [simplify]: Extracting #3: cost 41 inf + 497 42.537 * * [simplify]: Extracting #4: cost 38 inf + 582 42.538 * * [simplify]: Extracting #5: cost 14 inf + 4770 42.540 * * [simplify]: Extracting #6: cost 0 inf + 7288 42.542 * * [simplify]: Extracting #7: cost 0 inf + 7248 42.545 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) 2) J) (* (* (cos (/ K 2)) 2) J)) 42.545 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (/ (* U U) (* (* (* (cos (/ K 2)) 2) J) (* (* (cos (/ K 2)) 2) J))) 1)) -2) (* (cos (/ K 2)) J))) 42.545 * * * * [progress]: [ 85 / 143 ] simplifiying candidate # 42.545 * * * * [progress]: [ 86 / 143 ] simplifiying candidate # 42.545 * [simplify]: Simplifying (* (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J))))) (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))))) 42.545 * * [simplify]: iters left: 6 (12 enodes) 42.548 * * [simplify]: iters left: 5 (46 enodes) 42.556 * * [simplify]: iters left: 4 (68 enodes) 42.577 * * [simplify]: iters left: 3 (95 enodes) 42.598 * * [simplify]: iters left: 2 (144 enodes) 42.626 * * [simplify]: iters left: 1 (288 enodes) 42.690 * * [simplify]: Extracting #0: cost 1 inf + 0 42.690 * * [simplify]: Extracting #1: cost 71 inf + 0 42.691 * * [simplify]: Extracting #2: cost 140 inf + 46 42.691 * * [simplify]: Extracting #3: cost 128 inf + 636 42.692 * * [simplify]: Extracting #4: cost 111 inf + 2561 42.693 * * [simplify]: Extracting #5: cost 99 inf + 4759 42.698 * * [simplify]: Extracting #6: cost 26 inf + 35874 42.714 * * [simplify]: Extracting #7: cost 0 inf + 49849 42.732 * [simplify]: Simplified to (* (cbrt (/ (/ (/ U J) (cos (/ K 2))) 2)) (/ (/ (/ U J) (cos (/ K 2))) 2)) 42.732 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (* (cbrt (/ (/ (/ U J) (cos (/ K 2))) 2)) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J))) 42.733 * [simplify]: Simplifying (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J))))) 42.733 * * [simplify]: iters left: 6 (11 enodes) 42.739 * * [simplify]: iters left: 5 (39 enodes) 42.751 * * [simplify]: iters left: 4 (57 enodes) 42.771 * * [simplify]: iters left: 3 (74 enodes) 42.790 * * [simplify]: iters left: 2 (79 enodes) 42.809 * * [simplify]: Extracting #0: cost 1 inf + 0 42.809 * * [simplify]: Extracting #1: cost 3 inf + 0 42.809 * * [simplify]: Extracting #2: cost 5 inf + 0 42.809 * * [simplify]: Extracting #3: cost 16 inf + 0 42.809 * * [simplify]: Extracting #4: cost 25 inf + 3 42.810 * * [simplify]: Extracting #5: cost 28 inf + 129 42.810 * * [simplify]: Extracting #6: cost 13 inf + 1889 42.811 * * [simplify]: Extracting #7: cost 3 inf + 3901 42.813 * * [simplify]: Extracting #8: cost 0 inf + 4410 42.814 * [simplify]: Simplified to (* (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))) (cbrt (/ (/ U (* J 2)) (cos (/ K 2))))) 42.814 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (* (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J))))) (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))) (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))))) 1)) -2) (* (cos (/ K 2)) J))) 42.815 * * * * [progress]: [ 87 / 143 ] simplifiying candidate # 42.815 * [simplify]: Simplifying (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) 42.815 * * [simplify]: iters left: 6 (11 enodes) 42.820 * * [simplify]: iters left: 5 (37 enodes) 42.828 * * [simplify]: iters left: 4 (56 enodes) 42.836 * * [simplify]: iters left: 3 (73 enodes) 42.845 * * [simplify]: iters left: 2 (78 enodes) 42.855 * * [simplify]: Extracting #0: cost 1 inf + 0 42.855 * * [simplify]: Extracting #1: cost 13 inf + 0 42.855 * * [simplify]: Extracting #2: cost 23 inf + 3 42.855 * * [simplify]: Extracting #3: cost 26 inf + 129 42.855 * * [simplify]: Extracting #4: cost 16 inf + 851 42.856 * * [simplify]: Extracting #5: cost 3 inf + 3053 42.857 * * [simplify]: Extracting #6: cost 0 inf + 3642 42.858 * [simplify]: Simplified to (/ (/ U 2) (* (cos (/ K 2)) J)) 42.858 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J))) 42.859 * [simplify]: Simplifying (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) 42.859 * * [simplify]: iters left: 6 (11 enodes) 42.864 * * [simplify]: iters left: 5 (37 enodes) 42.876 * * [simplify]: iters left: 4 (56 enodes) 42.894 * * [simplify]: iters left: 3 (73 enodes) 42.913 * * [simplify]: iters left: 2 (78 enodes) 42.931 * * [simplify]: Extracting #0: cost 1 inf + 0 42.932 * * [simplify]: Extracting #1: cost 13 inf + 0 42.932 * * [simplify]: Extracting #2: cost 23 inf + 3 42.932 * * [simplify]: Extracting #3: cost 26 inf + 129 42.932 * * [simplify]: Extracting #4: cost 16 inf + 851 42.933 * * [simplify]: Extracting #5: cost 3 inf + 3053 42.935 * * [simplify]: Extracting #6: cost 0 inf + 3642 42.936 * [simplify]: Simplified to (/ (/ U 2) (* (cos (/ K 2)) J)) 42.936 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) (/ (/ U 2) (* (cos (/ K 2)) J))) 1)) -2) (* (cos (/ K 2)) J))) 42.937 * * * * [progress]: [ 88 / 143 ] simplifiying candidate # 42.937 * [simplify]: Simplifying (* (/ (* (cbrt U) (cbrt U)) 2) (/ (* (cbrt U) (cbrt U)) 2)) 42.937 * * [simplify]: iters left: 6 (6 enodes) 42.941 * * [simplify]: iters left: 5 (24 enodes) 42.950 * * [simplify]: iters left: 4 (46 enodes) 42.963 * * [simplify]: iters left: 3 (94 enodes) 42.982 * * [simplify]: iters left: 2 (156 enodes) 43.031 * * [simplify]: iters left: 1 (177 enodes) 43.087 * * [simplify]: Extracting #0: cost 1 inf + 0 43.087 * * [simplify]: Extracting #1: cost 29 inf + 0 43.088 * * [simplify]: Extracting #2: cost 44 inf + 452 43.090 * * [simplify]: Extracting #3: cost 11 inf + 5196 43.093 * * [simplify]: Extracting #4: cost 0 inf + 6946 43.096 * [simplify]: Simplified to (/ (cbrt U) (/ 4 U)) 43.096 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (/ (cbrt U) (/ 4 U)) (* (/ (cbrt U) (* (cos (/ K 2)) J)) (/ (cbrt U) (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) 43.096 * [simplify]: Simplifying (* (/ (cbrt U) (* (cos (/ K 2)) J)) (/ (cbrt U) (* (cos (/ K 2)) J))) 43.096 * * [simplify]: iters left: 6 (10 enodes) 43.101 * * [simplify]: iters left: 5 (37 enodes) 43.114 * * [simplify]: iters left: 4 (67 enodes) 43.136 * * [simplify]: iters left: 3 (153 enodes) 43.169 * * [simplify]: iters left: 2 (259 enodes) 43.276 * * [simplify]: iters left: 1 (355 enodes) 43.389 * * [simplify]: Extracting #0: cost 1 inf + 0 43.390 * * [simplify]: Extracting #1: cost 36 inf + 0 43.390 * * [simplify]: Extracting #2: cost 69 inf + 1 43.391 * * [simplify]: Extracting #3: cost 67 inf + 287 43.392 * * [simplify]: Extracting #4: cost 53 inf + 1870 43.394 * * [simplify]: Extracting #5: cost 34 inf + 5949 43.400 * * [simplify]: Extracting #6: cost 5 inf + 13388 43.407 * * [simplify]: Extracting #7: cost 0 inf + 14706 43.415 * [simplify]: Simplified to (* (/ (/ (cbrt U) J) (cos (/ K 2))) (/ (/ (cbrt U) J) (cos (/ K 2)))) 43.415 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (/ (cbrt U) (/ 4 U)) (* (/ (/ (cbrt U) J) (cos (/ K 2))) (/ (/ (cbrt U) J) (cos (/ K 2))))) 1)) -2) (* (cos (/ K 2)) J))) 43.415 * * * * [progress]: [ 89 / 143 ] simplifiying candidate # 43.415 * [simplify]: Simplifying (* (/ (sqrt U) 2) (/ (sqrt U) 2)) 43.415 * * [simplify]: iters left: 5 (5 enodes) 43.418 * * [simplify]: iters left: 4 (19 enodes) 43.425 * * [simplify]: iters left: 3 (27 enodes) 43.433 * * [simplify]: iters left: 2 (34 enodes) 43.443 * * [simplify]: iters left: 1 (43 enodes) 43.457 * * [simplify]: Extracting #0: cost 1 inf + 0 43.457 * * [simplify]: Extracting #1: cost 11 inf + 0 43.457 * * [simplify]: Extracting #2: cost 14 inf + 3 43.457 * * [simplify]: Extracting #3: cost 5 inf + 539 43.458 * * [simplify]: Extracting #4: cost 1 inf + 827 43.458 * * [simplify]: Extracting #5: cost 0 inf + 909 43.459 * [simplify]: Simplified to (/ U 4) 43.459 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U 4) (* (/ (sqrt U) (* (cos (/ K 2)) J)) (/ (sqrt U) (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) 43.459 * [simplify]: Simplifying (* (/ (sqrt U) (* (cos (/ K 2)) J)) (/ (sqrt U) (* (cos (/ K 2)) J))) 43.459 * * [simplify]: iters left: 6 (10 enodes) 43.464 * * [simplify]: iters left: 5 (37 enodes) 43.476 * * [simplify]: iters left: 4 (67 enodes) 43.501 * * [simplify]: iters left: 3 (146 enodes) 43.556 * * [simplify]: iters left: 2 (243 enodes) 43.652 * * [simplify]: iters left: 1 (344 enodes) 43.771 * * [simplify]: Extracting #0: cost 1 inf + 0 43.771 * * [simplify]: Extracting #1: cost 35 inf + 0 43.771 * * [simplify]: Extracting #2: cost 62 inf + 166 43.772 * * [simplify]: Extracting #3: cost 53 inf + 1108 43.773 * * [simplify]: Extracting #4: cost 32 inf + 4488 43.776 * * [simplify]: Extracting #5: cost 2 inf + 10914 43.780 * * [simplify]: Extracting #6: cost 0 inf + 11240 43.786 * [simplify]: Simplified to (/ U (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))) 43.786 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U 4) (/ U (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) 43.786 * * * * [progress]: [ 90 / 143 ] simplifiying candidate # 43.786 * [simplify]: Simplifying (* (/ 1 2) (/ 1 2)) 43.786 * * [simplify]: iters left: 4 (4 enodes) 43.790 * * [simplify]: iters left: 3 (20 enodes) 43.793 * * [simplify]: iters left: 2 (22 enodes) 43.796 * * [simplify]: Extracting #0: cost 1 inf + 0 43.796 * * [simplify]: Extracting #1: cost 0 inf + 1 43.796 * [simplify]: Simplified to 1/4 43.796 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* 1/4 (* (/ U (* (cos (/ K 2)) J)) (/ U (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) 43.797 * [simplify]: Simplifying (* (/ U (* (cos (/ K 2)) J)) (/ U (* (cos (/ K 2)) J))) 43.797 * * [simplify]: iters left: 6 (9 enodes) 43.799 * * [simplify]: iters left: 5 (34 enodes) 43.805 * * [simplify]: iters left: 4 (64 enodes) 43.817 * * [simplify]: iters left: 3 (148 enodes) 43.873 * * [simplify]: iters left: 2 (254 enodes) 43.958 * * [simplify]: iters left: 1 (351 enodes) 44.056 * * [simplify]: Extracting #0: cost 1 inf + 0 44.056 * * [simplify]: Extracting #1: cost 36 inf + 0 44.057 * * [simplify]: Extracting #2: cost 65 inf + 43 44.057 * * [simplify]: Extracting #3: cost 56 inf + 905 44.058 * * [simplify]: Extracting #4: cost 51 inf + 992 44.061 * * [simplify]: Extracting #5: cost 34 inf + 3846 44.065 * * [simplify]: Extracting #6: cost 1 inf + 10281 44.069 * * [simplify]: Extracting #7: cost 0 inf + 10464 44.072 * [simplify]: Simplified to (* (/ (/ U J) (cos (/ K 2))) (/ (/ U J) (cos (/ K 2)))) 44.072 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* 1/4 (* (/ (/ U J) (cos (/ K 2))) (/ (/ U J) (cos (/ K 2))))) 1)) -2) (* (cos (/ K 2)) J))) 44.072 * * * * [progress]: [ 91 / 143 ] simplifiying candidate # 44.072 * [simplify]: Simplifying (* 1 1) 44.072 * * [simplify]: iters left: 2 (2 enodes) 44.073 * * [simplify]: iters left: 1 (6 enodes) 44.075 * * [simplify]: Extracting #0: cost 1 inf + 0 44.075 * * [simplify]: Extracting #1: cost 0 inf + 1 44.075 * [simplify]: Simplified to 1 44.075 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* 1 (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J))) 44.075 * [simplify]: Simplifying (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 44.075 * * [simplify]: iters left: 6 (10 enodes) 44.077 * * [simplify]: iters left: 5 (40 enodes) 44.084 * * [simplify]: iters left: 4 (91 enodes) 44.115 * * [simplify]: iters left: 3 (345 enodes) 44.386 * * [simplify]: Extracting #0: cost 1 inf + 0 44.386 * * [simplify]: Extracting #1: cost 119 inf + 0 44.388 * * [simplify]: Extracting #2: cost 236 inf + 45 44.391 * * [simplify]: Extracting #3: cost 207 inf + 2474 44.396 * * [simplify]: Extracting #4: cost 104 inf + 22392 44.412 * * [simplify]: Extracting #5: cost 6 inf + 45410 44.429 * * [simplify]: Extracting #6: cost 0 inf + 46788 44.458 * * [simplify]: Extracting #7: cost 0 inf + 46787 44.473 * [simplify]: Simplified to (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) 44.473 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) 1)) -2) (* (cos (/ K 2)) J))) 44.473 * * * * [progress]: [ 92 / 143 ] simplifiying candidate # 44.474 * [simplify]: Simplifying (* U U) 44.474 * * [simplify]: iters left: 2 (2 enodes) 44.474 * * [simplify]: iters left: 1 (6 enodes) 44.475 * * [simplify]: Extracting #0: cost 1 inf + 0 44.475 * * [simplify]: Extracting #1: cost 3 inf + 0 44.475 * * [simplify]: Extracting #2: cost 2 inf + 1 44.475 * * [simplify]: Extracting #3: cost 0 inf + 83 44.475 * [simplify]: Simplified to (* U U) 44.475 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (* U U) (* (/ 1 (* 2 (* (cos (/ K 2)) J))) (/ 1 (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J))) 44.475 * [simplify]: Simplifying (* (/ 1 (* 2 (* (cos (/ K 2)) J))) (/ 1 (* 2 (* (cos (/ K 2)) J)))) 44.475 * * [simplify]: iters left: 6 (10 enodes) 44.479 * * [simplify]: iters left: 5 (43 enodes) 44.489 * * [simplify]: iters left: 4 (82 enodes) 44.531 * * [simplify]: iters left: 3 (271 enodes) 44.726 * * [simplify]: Extracting #0: cost 1 inf + 0 44.726 * * [simplify]: Extracting #1: cost 72 inf + 0 44.727 * * [simplify]: Extracting #2: cost 165 inf + 90 44.732 * * [simplify]: Extracting #3: cost 151 inf + 1785 44.737 * * [simplify]: Extracting #4: cost 98 inf + 11781 44.753 * * [simplify]: Extracting #5: cost 3 inf + 32308 44.772 * * [simplify]: Extracting #6: cost 0 inf + 32858 44.791 * [simplify]: Simplified to (/ 1/4 (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))) 44.791 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (* U U) (/ 1/4 (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) 44.792 * * * * [progress]: [ 93 / 143 ] simplifiying candidate # 44.792 * [simplify]: Simplifying (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) 44.792 * * [simplify]: iters left: 6 (11 enodes) 44.797 * * [simplify]: iters left: 5 (37 enodes) 44.809 * * [simplify]: iters left: 4 (56 enodes) 44.825 * * [simplify]: iters left: 3 (73 enodes) 44.834 * * [simplify]: iters left: 2 (78 enodes) 44.843 * * [simplify]: Extracting #0: cost 1 inf + 0 44.843 * * [simplify]: Extracting #1: cost 13 inf + 0 44.844 * * [simplify]: Extracting #2: cost 23 inf + 3 44.844 * * [simplify]: Extracting #3: cost 26 inf + 129 44.844 * * [simplify]: Extracting #4: cost 16 inf + 851 44.845 * * [simplify]: Extracting #5: cost 3 inf + 3053 44.846 * * [simplify]: Extracting #6: cost 0 inf + 3642 44.848 * [simplify]: Simplified to (/ (/ U 2) (* (cos (/ K 2)) J)) 44.848 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J))) 44.848 * [simplify]: Simplifying (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) 44.848 * * [simplify]: iters left: 6 (11 enodes) 44.854 * * [simplify]: iters left: 5 (37 enodes) 44.867 * * [simplify]: iters left: 4 (56 enodes) 44.877 * * [simplify]: iters left: 3 (73 enodes) 44.887 * * [simplify]: iters left: 2 (78 enodes) 44.896 * * [simplify]: Extracting #0: cost 1 inf + 0 44.896 * * [simplify]: Extracting #1: cost 13 inf + 0 44.896 * * [simplify]: Extracting #2: cost 23 inf + 3 44.896 * * [simplify]: Extracting #3: cost 26 inf + 129 44.897 * * [simplify]: Extracting #4: cost 16 inf + 851 44.897 * * [simplify]: Extracting #5: cost 3 inf + 3053 44.898 * * [simplify]: Extracting #6: cost 0 inf + 3642 44.898 * [simplify]: Simplified to (/ (/ U 2) (* (cos (/ K 2)) J)) 44.899 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) (/ (/ U 2) (* (cos (/ K 2)) J))) 1)) -2) (* (cos (/ K 2)) J))) 44.899 * * * * [progress]: [ 94 / 143 ] simplifiying candidate # 44.899 * [simplify]: Simplifying (/ U (* 2 (* (cos (/ K 2)) J))) 44.899 * * [simplify]: iters left: 6 (9 enodes) 44.901 * * [simplify]: iters left: 5 (33 enodes) 44.909 * * [simplify]: iters left: 4 (51 enodes) 44.923 * * [simplify]: iters left: 3 (68 enodes) 44.941 * * [simplify]: iters left: 2 (73 enodes) 44.959 * * [simplify]: Extracting #0: cost 1 inf + 0 44.959 * * [simplify]: Extracting #1: cost 12 inf + 0 44.959 * * [simplify]: Extracting #2: cost 21 inf + 3 44.959 * * [simplify]: Extracting #3: cost 21 inf + 337 44.960 * * [simplify]: Extracting #4: cost 12 inf + 1158 44.961 * * [simplify]: Extracting #5: cost 0 inf + 3114 44.962 * [simplify]: Simplified to (/ (/ U (* J 2)) (cos (/ K 2))) 44.962 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (pow (/ (/ U (* J 2)) (cos (/ K 2))) (* 2 1)) 1)) -2) (* (cos (/ K 2)) J))) 44.963 * [simplify]: Simplifying (* 2 1) 44.963 * * [simplify]: iters left: 2 (3 enodes) 44.965 * * [simplify]: iters left: 1 (9 enodes) 44.968 * * [simplify]: Extracting #0: cost 1 inf + 0 44.968 * * [simplify]: Extracting #1: cost 0 inf + 1 44.968 * [simplify]: Simplified to 2 44.969 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (pow (/ U (* 2 (* (cos (/ K 2)) J))) 2) 1)) -2) (* (cos (/ K 2)) J))) 44.969 * * * * [progress]: [ 95 / 143 ] simplifiying candidate # 44.969 * [simplify]: Simplifying (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) 44.969 * * [simplify]: iters left: 6 (10 enodes) 44.974 * * [simplify]: iters left: 5 (36 enodes) 44.987 * * [simplify]: iters left: 4 (54 enodes) 45.002 * * [simplify]: iters left: 3 (71 enodes) 45.020 * * [simplify]: iters left: 2 (76 enodes) 45.038 * * [simplify]: Extracting #0: cost 1 inf + 0 45.038 * * [simplify]: Extracting #1: cost 3 inf + 0 45.038 * * [simplify]: Extracting #2: cost 14 inf + 0 45.038 * * [simplify]: Extracting #3: cost 23 inf + 3 45.038 * * [simplify]: Extracting #4: cost 24 inf + 295 45.039 * * [simplify]: Extracting #5: cost 9 inf + 2499 45.040 * * [simplify]: Extracting #6: cost 0 inf + 3722 45.042 * [simplify]: Simplified to (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))) 45.042 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))))) (cbrt (/ (/ U (* J 2)) (cos (/ K 2))))) 1)) -2) (* (cos (/ K 2)) J))) 45.042 * * * * [progress]: [ 96 / 143 ] simplifiying candidate # 45.042 * [simplify]: Simplifying (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) 45.043 * * [simplify]: iters left: 6 (10 enodes) 45.047 * * [simplify]: iters left: 5 (36 enodes) 45.058 * * [simplify]: iters left: 4 (54 enodes) 45.074 * * [simplify]: iters left: 3 (71 enodes) 45.092 * * [simplify]: iters left: 2 (76 enodes) 45.110 * * [simplify]: Extracting #0: cost 1 inf + 0 45.111 * * [simplify]: Extracting #1: cost 3 inf + 0 45.111 * * [simplify]: Extracting #2: cost 14 inf + 0 45.111 * * [simplify]: Extracting #3: cost 23 inf + 3 45.111 * * [simplify]: Extracting #4: cost 24 inf + 295 45.112 * * [simplify]: Extracting #5: cost 9 inf + 2419 45.113 * * [simplify]: Extracting #6: cost 0 inf + 3642 45.115 * [simplify]: Simplified to (sqrt (/ (/ U (* J 2)) (cos (/ K 2)))) 45.115 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) (sqrt (/ (/ U (* J 2)) (cos (/ K 2))))) 1)) -2) (* (cos (/ K 2)) J))) 45.115 * * * * [progress]: [ 97 / 143 ] simplifiying candidate # 45.115 * [simplify]: Simplifying (/ (cbrt U) (* (cos (/ K 2)) J)) 45.115 * * [simplify]: iters left: 6 (9 enodes) 45.120 * * [simplify]: iters left: 5 (30 enodes) 45.131 * * [simplify]: iters left: 4 (34 enodes) 45.139 * * [simplify]: iters left: 3 (36 enodes) 45.148 * * [simplify]: Extracting #0: cost 1 inf + 0 45.148 * * [simplify]: Extracting #1: cost 8 inf + 0 45.148 * * [simplify]: Extracting #2: cost 14 inf + 1 45.148 * * [simplify]: Extracting #3: cost 16 inf + 2 45.149 * * [simplify]: Extracting #4: cost 11 inf + 288 45.149 * * [simplify]: Extracting #5: cost 5 inf + 962 45.149 * * [simplify]: Extracting #6: cost 0 inf + 1958 45.150 * [simplify]: Simplified to (/ (/ (cbrt U) (cos (/ K 2))) J) 45.150 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ (* (cbrt U) (cbrt U)) 2)) (/ (/ (cbrt U) (cos (/ K 2))) J)) 1)) -2) (* (cos (/ K 2)) J))) 45.150 * * * * [progress]: [ 98 / 143 ] simplifiying candidate # 45.151 * [simplify]: Simplifying (/ (sqrt U) (* (cos (/ K 2)) J)) 45.151 * * [simplify]: iters left: 6 (9 enodes) 45.155 * * [simplify]: iters left: 5 (30 enodes) 45.162 * * [simplify]: iters left: 4 (34 enodes) 45.171 * * [simplify]: iters left: 3 (36 enodes) 45.180 * * [simplify]: Extracting #0: cost 1 inf + 0 45.180 * * [simplify]: Extracting #1: cost 8 inf + 0 45.180 * * [simplify]: Extracting #2: cost 14 inf + 1 45.180 * * [simplify]: Extracting #3: cost 16 inf + 2 45.181 * * [simplify]: Extracting #4: cost 11 inf + 168 45.181 * * [simplify]: Extracting #5: cost 5 inf + 762 45.181 * * [simplify]: Extracting #6: cost 0 inf + 1638 45.182 * [simplify]: Simplified to (/ (/ (sqrt U) (cos (/ K 2))) J) 45.182 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ (sqrt U) 2)) (/ (/ (sqrt U) (cos (/ K 2))) J)) 1)) -2) (* (cos (/ K 2)) J))) 45.182 * * * * [progress]: [ 99 / 143 ] simplifiying candidate # 45.182 * [simplify]: Simplifying (/ U (* (cos (/ K 2)) J)) 45.182 * * [simplify]: iters left: 6 (8 enodes) 45.186 * * [simplify]: iters left: 5 (27 enodes) 45.193 * * [simplify]: iters left: 4 (31 enodes) 45.201 * * [simplify]: iters left: 3 (33 enodes) 45.209 * * [simplify]: Extracting #0: cost 1 inf + 0 45.209 * * [simplify]: Extracting #1: cost 8 inf + 0 45.209 * * [simplify]: Extracting #2: cost 11 inf + 2 45.209 * * [simplify]: Extracting #3: cost 12 inf + 86 45.209 * * [simplify]: Extracting #4: cost 9 inf + 130 45.209 * * [simplify]: Extracting #5: cost 1 inf + 1132 45.210 * * [simplify]: Extracting #6: cost 0 inf + 1316 45.210 * [simplify]: Simplified to (/ (/ U J) (cos (/ K 2))) 45.210 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ 1 2)) (/ (/ U J) (cos (/ K 2)))) 1)) -2) (* (cos (/ K 2)) J))) 45.210 * * * * [progress]: [ 100 / 143 ] simplifiying candidate # 45.211 * [simplify]: Simplifying (/ U (* 2 (* (cos (/ K 2)) J))) 45.211 * * [simplify]: iters left: 6 (9 enodes) 45.215 * * [simplify]: iters left: 5 (33 enodes) 45.224 * * [simplify]: iters left: 4 (51 enodes) 45.237 * * [simplify]: iters left: 3 (68 enodes) 45.253 * * [simplify]: iters left: 2 (73 enodes) 45.270 * * [simplify]: Extracting #0: cost 1 inf + 0 45.270 * * [simplify]: Extracting #1: cost 12 inf + 0 45.270 * * [simplify]: Extracting #2: cost 21 inf + 3 45.270 * * [simplify]: Extracting #3: cost 21 inf + 337 45.271 * * [simplify]: Extracting #4: cost 12 inf + 1158 45.272 * * [simplify]: Extracting #5: cost 0 inf + 3114 45.273 * [simplify]: Simplified to (/ (/ U (* J 2)) (cos (/ K 2))) 45.273 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) 1) (/ (/ U (* J 2)) (cos (/ K 2)))) 1)) -2) (* (cos (/ K 2)) J))) 45.273 * * * * [progress]: [ 101 / 143 ] simplifiying candidate # 45.273 * [simplify]: Simplifying (/ 1 (* 2 (* (cos (/ K 2)) J))) 45.274 * * [simplify]: iters left: 6 (9 enodes) 45.279 * * [simplify]: iters left: 5 (36 enodes) 45.290 * * [simplify]: iters left: 4 (56 enodes) 45.304 * * [simplify]: iters left: 3 (72 enodes) 45.321 * * [simplify]: iters left: 2 (76 enodes) 45.331 * * [simplify]: Extracting #0: cost 1 inf + 0 45.331 * * [simplify]: Extracting #1: cost 12 inf + 0 45.332 * * [simplify]: Extracting #2: cost 18 inf + 46 45.332 * * [simplify]: Extracting #3: cost 21 inf + 172 45.332 * * [simplify]: Extracting #4: cost 12 inf + 1055 45.332 * * [simplify]: Extracting #5: cost 2 inf + 2464 45.333 * * [simplify]: Extracting #6: cost 0 inf + 2789 45.333 * [simplify]: Simplified to (/ (/ 1/2 J) (cos (/ K 2))) 45.333 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (/ (/ 1/2 J) (cos (/ K 2)))) 1)) -2) (* (cos (/ K 2)) J))) 45.333 * * * * [progress]: [ 102 / 143 ] simplifiying candidate # 45.334 * [simplify]: Simplifying (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J))))) 45.334 * * [simplify]: iters left: 6 (11 enodes) 45.336 * * [simplify]: iters left: 5 (39 enodes) 45.343 * * [simplify]: iters left: 4 (57 enodes) 45.354 * * [simplify]: iters left: 3 (74 enodes) 45.371 * * [simplify]: iters left: 2 (79 enodes) 45.382 * * [simplify]: Extracting #0: cost 1 inf + 0 45.382 * * [simplify]: Extracting #1: cost 3 inf + 0 45.382 * * [simplify]: Extracting #2: cost 5 inf + 0 45.382 * * [simplify]: Extracting #3: cost 16 inf + 0 45.382 * * [simplify]: Extracting #4: cost 25 inf + 3 45.382 * * [simplify]: Extracting #5: cost 28 inf + 129 45.382 * * [simplify]: Extracting #6: cost 13 inf + 1889 45.383 * * [simplify]: Extracting #7: cost 3 inf + 3901 45.384 * * [simplify]: Extracting #8: cost 0 inf + 4410 45.384 * [simplify]: Simplified to (* (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))) (cbrt (/ (/ U (* J 2)) (cos (/ K 2))))) 45.385 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (* (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))) (cbrt (/ (/ U (* J 2)) (cos (/ K 2))))) (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J))) 45.385 * * * * [progress]: [ 103 / 143 ] simplifiying candidate # 45.385 * [simplify]: Simplifying (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) 45.385 * * [simplify]: iters left: 6 (10 enodes) 45.387 * * [simplify]: iters left: 5 (36 enodes) 45.393 * * [simplify]: iters left: 4 (54 enodes) 45.407 * * [simplify]: iters left: 3 (71 enodes) 45.425 * * [simplify]: iters left: 2 (76 enodes) 45.444 * * [simplify]: Extracting #0: cost 1 inf + 0 45.444 * * [simplify]: Extracting #1: cost 3 inf + 0 45.444 * * [simplify]: Extracting #2: cost 14 inf + 0 45.444 * * [simplify]: Extracting #3: cost 23 inf + 3 45.444 * * [simplify]: Extracting #4: cost 24 inf + 295 45.445 * * [simplify]: Extracting #5: cost 9 inf + 2419 45.446 * * [simplify]: Extracting #6: cost 0 inf + 3642 45.448 * [simplify]: Simplified to (sqrt (/ (/ U (* J 2)) (cos (/ K 2)))) 45.448 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (sqrt (/ (/ U (* J 2)) (cos (/ K 2)))) (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J))) 45.448 * * * * [progress]: [ 104 / 143 ] simplifiying candidate # 45.449 * [simplify]: Simplifying (/ (* (cbrt U) (cbrt U)) 2) 45.449 * * [simplify]: iters left: 5 (5 enodes) 45.451 * * [simplify]: iters left: 4 (17 enodes) 45.457 * * [simplify]: iters left: 3 (21 enodes) 45.463 * * [simplify]: iters left: 2 (24 enodes) 45.471 * * [simplify]: Extracting #0: cost 1 inf + 0 45.471 * * [simplify]: Extracting #1: cost 7 inf + 0 45.471 * * [simplify]: Extracting #2: cost 11 inf + 1 45.471 * * [simplify]: Extracting #3: cost 10 inf + 2 45.471 * * [simplify]: Extracting #4: cost 0 inf + 1218 45.472 * [simplify]: Simplified to (/ (* (cbrt U) (cbrt U)) 2) 45.472 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (/ (* (cbrt U) (cbrt U)) 2) (* (/ (cbrt U) (* (cos (/ K 2)) J)) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J))) 45.472 * * * * [progress]: [ 105 / 143 ] simplifiying candidate # 45.472 * [simplify]: Simplifying (/ (sqrt U) 2) 45.472 * * [simplify]: iters left: 3 (4 enodes) 45.474 * * [simplify]: iters left: 2 (12 enodes) 45.478 * * [simplify]: Extracting #0: cost 1 inf + 0 45.478 * * [simplify]: Extracting #1: cost 4 inf + 0 45.478 * * [simplify]: Extracting #2: cost 5 inf + 1 45.478 * * [simplify]: Extracting #3: cost 4 inf + 2 45.478 * * [simplify]: Extracting #4: cost 0 inf + 248 45.479 * [simplify]: Simplified to (/ (sqrt U) 2) 45.479 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (/ (sqrt U) 2) (* (/ (sqrt U) (* (cos (/ K 2)) J)) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J))) 45.479 * * * * [progress]: [ 106 / 143 ] simplifiying candidate # 45.479 * [simplify]: Simplifying (/ 1 2) 45.479 * * [simplify]: iters left: 2 (3 enodes) 45.482 * * [simplify]: iters left: 1 (12 enodes) 45.486 * * [simplify]: Extracting #0: cost 1 inf + 0 45.486 * * [simplify]: Extracting #1: cost 0 inf + 1 45.487 * [simplify]: Simplified to 1/2 45.487 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* 1/2 (* (/ U (* (cos (/ K 2)) J)) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J))) 45.487 * * * * [progress]: [ 107 / 143 ] simplifiying candidate # 45.487 * * * * [progress]: [ 108 / 143 ] simplifiying candidate # 45.487 * * * * [progress]: [ 109 / 143 ] simplifiying candidate # 45.487 * [simplify]: Simplifying (* 2 (* (cos (/ K 2)) J)) 45.487 * * [simplify]: iters left: 6 (7 enodes) 45.491 * * [simplify]: iters left: 5 (25 enodes) 45.499 * * [simplify]: iters left: 4 (33 enodes) 45.509 * * [simplify]: iters left: 3 (39 enodes) 45.521 * * [simplify]: Extracting #0: cost 1 inf + 0 45.521 * * [simplify]: Extracting #1: cost 8 inf + 0 45.521 * * [simplify]: Extracting #2: cost 11 inf + 2 45.521 * * [simplify]: Extracting #3: cost 12 inf + 44 45.522 * * [simplify]: Extracting #4: cost 10 inf + 87 45.522 * * [simplify]: Extracting #5: cost 4 inf + 660 45.522 * * [simplify]: Extracting #6: cost 1 inf + 1128 45.523 * * [simplify]: Extracting #7: cost 0 inf + 1311 45.523 * [simplify]: Simplified to (* (cos (/ K 2)) (* J 2)) 45.523 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (/ (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (cos (/ K 2)) (* J 2))) 1)) -2) (* (cos (/ K 2)) J))) 45.524 * * * * [progress]: [ 110 / 143 ] simplifiying candidate # 45.524 * [simplify]: Simplifying (* U (/ U (* 2 (* (cos (/ K 2)) J)))) 45.524 * * [simplify]: iters left: 6 (10 enodes) 45.526 * * [simplify]: iters left: 5 (39 enodes) 45.533 * * [simplify]: iters left: 4 (75 enodes) 45.547 * * [simplify]: iters left: 3 (155 enodes) 45.585 * * [simplify]: iters left: 2 (223 enodes) 45.627 * * [simplify]: iters left: 1 (275 enodes) 45.685 * * [simplify]: Extracting #0: cost 1 inf + 0 45.685 * * [simplify]: Extracting #1: cost 34 inf + 0 45.685 * * [simplify]: Extracting #2: cost 56 inf + 128 45.686 * * [simplify]: Extracting #3: cost 42 inf + 1204 45.687 * * [simplify]: Extracting #4: cost 19 inf + 4613 45.689 * * [simplify]: Extracting #5: cost 0 inf + 8215 45.691 * [simplify]: Simplified to (/ (/ U (cos (/ K 2))) (* (/ 2 U) J)) 45.691 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (/ (/ (/ U (cos (/ K 2))) (* (/ 2 U) J)) (* 2 (* (cos (/ K 2)) J))) 1)) -2) (* (cos (/ K 2)) J))) 45.691 * * * * [progress]: [ 111 / 143 ] simplifiying candidate #real (real->posit16 (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J)))> 45.691 * * * * [progress]: [ 112 / 143 ] simplifiying candidate # 45.691 * * * * [progress]: [ 113 / 143 ] simplifiying candidate # 45.691 * [simplify]: Simplifying (* (cos (/ K 2)) J) 45.691 * * [simplify]: iters left: 5 (6 enodes) 45.694 * * [simplify]: iters left: 4 (19 enodes) 45.700 * * [simplify]: Extracting #0: cost 1 inf + 0 45.700 * * [simplify]: Extracting #1: cost 4 inf + 0 45.700 * * [simplify]: Extracting #2: cost 5 inf + 1 45.700 * * [simplify]: Extracting #3: cost 8 inf + 1 45.700 * * [simplify]: Extracting #4: cost 6 inf + 3 45.700 * * [simplify]: Extracting #5: cost 0 inf + 577 45.700 * [simplify]: Simplified to (* (cos (/ K 2)) J) 45.700 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (pow (* (cos (/ K 2)) J) 1))) 45.701 * * * * [progress]: [ 114 / 143 ] simplifiying candidate # 45.701 * * * * [progress]: [ 115 / 143 ] simplifiying candidate # 45.701 * [simplify]: Simplifying (+ (log (cos (/ K 2))) (log J)) 45.701 * * [simplify]: iters left: 6 (8 enodes) 45.705 * * [simplify]: iters left: 5 (25 enodes) 45.710 * * [simplify]: Extracting #0: cost 1 inf + 0 45.710 * * [simplify]: Extracting #1: cost 4 inf + 0 45.710 * * [simplify]: Extracting #2: cost 8 inf + 0 45.710 * * [simplify]: Extracting #3: cost 8 inf + 72 45.710 * * [simplify]: Extracting #4: cost 10 inf + 143 45.710 * * [simplify]: Extracting #5: cost 8 inf + 145 45.710 * * [simplify]: Extracting #6: cost 5 inf + 331 45.711 * * [simplify]: Extracting #7: cost 1 inf + 1060 45.711 * * [simplify]: Extracting #8: cost 0 inf + 1343 45.711 * [simplify]: Simplified to (+ (log J) (log (cos (/ K 2)))) 45.711 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (exp (+ (log J) (log (cos (/ K 2))))))) 45.711 * * * * [progress]: [ 116 / 143 ] simplifiying candidate # 45.711 * * * * [progress]: [ 117 / 143 ] simplifiying candidate # 45.711 * * * * [progress]: [ 118 / 143 ] simplifiying candidate # 45.711 * [simplify]: Simplifying (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J)) 45.711 * * [simplify]: iters left: 6 (10 enodes) 45.714 * * [simplify]: iters left: 5 (37 enodes) 45.721 * * [simplify]: iters left: 4 (66 enodes) 45.734 * * [simplify]: iters left: 3 (125 enodes) 45.781 * * [simplify]: iters left: 2 (196 enodes) 45.867 * * [simplify]: iters left: 1 (353 enodes) 46.017 * * [simplify]: Extracting #0: cost 1 inf + 0 46.017 * * [simplify]: Extracting #1: cost 51 inf + 0 46.018 * * [simplify]: Extracting #2: cost 146 inf + 124 46.019 * * [simplify]: Extracting #3: cost 153 inf + 460 46.021 * * [simplify]: Extracting #4: cost 133 inf + 4920 46.030 * * [simplify]: Extracting #5: cost 45 inf + 43385 46.046 * * [simplify]: Extracting #6: cost 4 inf + 66357 46.062 * * [simplify]: Extracting #7: cost 0 inf + 69278 46.078 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)) 46.078 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cbrt (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))))) 46.079 * * * * [progress]: [ 119 / 143 ] simplifiying candidate # 46.079 * * * * [progress]: [ 120 / 143 ] simplifiying candidate # 46.079 * * * * [progress]: [ 121 / 143 ] simplifiying candidate # 46.079 * * * * [progress]: [ 122 / 143 ] simplifiying candidate # 46.079 * * * * [progress]: [ 123 / 143 ] simplifiying candidate # 46.079 * [simplify]: Simplifying (* (sqrt (cos (/ K 2))) (sqrt J)) 46.079 * * [simplify]: iters left: 6 (8 enodes) 46.083 * * [simplify]: iters left: 5 (25 enodes) 46.090 * * [simplify]: Extracting #0: cost 1 inf + 0 46.090 * * [simplify]: Extracting #1: cost 4 inf + 0 46.090 * * [simplify]: Extracting #2: cost 8 inf + 0 46.090 * * [simplify]: Extracting #3: cost 8 inf + 42 46.091 * * [simplify]: Extracting #4: cost 10 inf + 83 46.091 * * [simplify]: Extracting #5: cost 8 inf + 85 46.091 * * [simplify]: Extracting #6: cost 5 inf + 271 46.091 * * [simplify]: Extracting #7: cost 1 inf + 880 46.091 * * [simplify]: Extracting #8: cost 0 inf + 1103 46.092 * [simplify]: Simplified to (* (sqrt J) (sqrt (cos (/ K 2)))) 46.092 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (sqrt J) (sqrt (cos (/ K 2)))) (* (sqrt (cos (/ K 2))) (sqrt J))))) 46.092 * [simplify]: Simplifying (* (sqrt (cos (/ K 2))) (sqrt J)) 46.092 * * [simplify]: iters left: 6 (8 enodes) 46.096 * * [simplify]: iters left: 5 (25 enodes) 46.103 * * [simplify]: Extracting #0: cost 1 inf + 0 46.103 * * [simplify]: Extracting #1: cost 4 inf + 0 46.103 * * [simplify]: Extracting #2: cost 8 inf + 0 46.104 * * [simplify]: Extracting #3: cost 8 inf + 42 46.104 * * [simplify]: Extracting #4: cost 10 inf + 83 46.104 * * [simplify]: Extracting #5: cost 8 inf + 85 46.104 * * [simplify]: Extracting #6: cost 5 inf + 271 46.104 * * [simplify]: Extracting #7: cost 1 inf + 880 46.105 * * [simplify]: Extracting #8: cost 0 inf + 1103 46.105 * [simplify]: Simplified to (* (sqrt J) (sqrt (cos (/ K 2)))) 46.105 * [simplify]: Simplified (2 2 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (sqrt (cos (/ K 2))) (sqrt J)) (* (sqrt J) (sqrt (cos (/ K 2))))))) 46.105 * * * * [progress]: [ 124 / 143 ] simplifiying candidate # 46.105 * [simplify]: Simplifying (cbrt J) 46.106 * * [simplify]: iters left: 1 (2 enodes) 46.106 * * [simplify]: Extracting #0: cost 1 inf + 0 46.106 * * [simplify]: Extracting #1: cost 3 inf + 0 46.106 * * [simplify]: Extracting #2: cost 2 inf + 1 46.107 * * [simplify]: Extracting #3: cost 0 inf + 163 46.107 * [simplify]: Simplified to (cbrt J) 46.107 * [simplify]: Simplified (2 2 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (cbrt J)))) 46.107 * * * * [progress]: [ 125 / 143 ] simplifiying candidate # 46.107 * [simplify]: Simplifying (sqrt J) 46.107 * * [simplify]: iters left: 1 (2 enodes) 46.108 * * [simplify]: Extracting #0: cost 1 inf + 0 46.108 * * [simplify]: Extracting #1: cost 3 inf + 0 46.108 * * [simplify]: Extracting #2: cost 2 inf + 1 46.108 * * [simplify]: Extracting #3: cost 0 inf + 83 46.108 * [simplify]: Simplified to (sqrt J) 46.108 * [simplify]: Simplified (2 2 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cos (/ K 2)) (sqrt J)) (sqrt J)))) 46.108 * * * * [progress]: [ 126 / 143 ] simplifiying candidate # 46.108 * * * * [progress]: [ 127 / 143 ] simplifiying candidate # 46.109 * [simplify]: Simplifying (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) 46.109 * * [simplify]: iters left: 6 (6 enodes) 46.112 * * [simplify]: iters left: 5 (18 enodes) 46.118 * * [simplify]: Extracting #0: cost 1 inf + 0 46.118 * * [simplify]: Extracting #1: cost 3 inf + 0 46.118 * * [simplify]: Extracting #2: cost 5 inf + 0 46.118 * * [simplify]: Extracting #3: cost 7 inf + 0 46.118 * * [simplify]: Extracting #4: cost 10 inf + 0 46.118 * * [simplify]: Extracting #5: cost 8 inf + 2 46.118 * * [simplify]: Extracting #6: cost 0 inf + 1098 46.119 * [simplify]: Simplified to (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) 46.119 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) 46.119 * * * * [progress]: [ 128 / 143 ] simplifiying candidate # 46.119 * [simplify]: Simplifying (sqrt (cos (/ K 2))) 46.119 * * [simplify]: iters left: 4 (5 enodes) 46.122 * * [simplify]: iters left: 3 (15 enodes) 46.127 * * [simplify]: Extracting #0: cost 1 inf + 0 46.127 * * [simplify]: Extracting #1: cost 3 inf + 0 46.127 * * [simplify]: Extracting #2: cost 5 inf + 0 46.127 * * [simplify]: Extracting #3: cost 8 inf + 0 46.127 * * [simplify]: Extracting #4: cost 6 inf + 2 46.127 * * [simplify]: Extracting #5: cost 0 inf + 574 46.127 * [simplify]: Simplified to (sqrt (cos (/ K 2))) 46.127 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) J)))) 46.127 * * * * [progress]: [ 129 / 143 ] simplifiying candidate # 46.127 * * * * [progress]: [ 130 / 143 ] simplifiying candidate #real (real->posit16 (* (cos (/ K 2)) J)))))> 46.128 * * * * [progress]: [ 131 / 143 ] simplifiying candidate # 46.128 * * * * [progress]: [ 132 / 143 ] simplifiying candidate # 46.128 * [simplify]: Simplifying 1 46.128 * * [simplify]: iters left: 0 (1 enodes) 46.129 * * [simplify]: Extracting #0: cost 1 inf + 0 46.129 * * [simplify]: Extracting #1: cost 0 inf + 1 46.129 * [simplify]: Simplified to 1 46.129 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* 1 -2) (* (cos (/ K 2)) J))) 46.129 * * * * [progress]: [ 133 / 143 ] simplifiying candidate # 46.129 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 46.129 * * [simplify]: iters left: 6 (9 enodes) 46.137 * * [simplify]: iters left: 5 (34 enodes) 46.148 * * [simplify]: iters left: 4 (56 enodes) 46.166 * * [simplify]: iters left: 3 (90 enodes) 46.180 * * [simplify]: iters left: 2 (114 enodes) 46.196 * * [simplify]: iters left: 1 (131 enodes) 46.227 * * [simplify]: Extracting #0: cost 1 inf + 0 46.228 * * [simplify]: Extracting #1: cost 22 inf + 0 46.228 * * [simplify]: Extracting #2: cost 37 inf + 3 46.228 * * [simplify]: Extracting #3: cost 31 inf + 380 46.228 * * [simplify]: Extracting #4: cost 17 inf + 1834 46.229 * * [simplify]: Extracting #5: cost 3 inf + 4117 46.230 * * [simplify]: Extracting #6: cost 0 inf + 4586 46.231 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 46.231 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) -2) (* (cos (/ K 2)) J))) 46.231 * * * * [progress]: [ 134 / 143 ] simplifiying candidate # 46.232 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 46.232 * * [simplify]: iters left: 6 (9 enodes) 46.235 * * [simplify]: iters left: 5 (34 enodes) 46.241 * * [simplify]: iters left: 4 (56 enodes) 46.250 * * [simplify]: iters left: 3 (90 enodes) 46.270 * * [simplify]: iters left: 2 (114 enodes) 46.301 * * [simplify]: iters left: 1 (131 enodes) 46.337 * * [simplify]: Extracting #0: cost 1 inf + 0 46.337 * * [simplify]: Extracting #1: cost 22 inf + 0 46.337 * * [simplify]: Extracting #2: cost 37 inf + 3 46.337 * * [simplify]: Extracting #3: cost 31 inf + 380 46.338 * * [simplify]: Extracting #4: cost 17 inf + 1834 46.340 * * [simplify]: Extracting #5: cost 3 inf + 4117 46.342 * * [simplify]: Extracting #6: cost 0 inf + 4586 46.344 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 46.344 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) -2) (* (cos (/ K 2)) J))) 46.344 * * * * [progress]: [ 135 / 143 ] simplifiying candidate # 46.345 * [simplify]: Simplifying (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 46.345 * * [simplify]: iters left: 6 (10 enodes) 46.351 * * [simplify]: iters left: 5 (43 enodes) 46.368 * * [simplify]: iters left: 4 (79 enodes) 46.392 * * [simplify]: iters left: 3 (118 enodes) 46.427 * * [simplify]: iters left: 2 (171 enodes) 46.485 * * [simplify]: iters left: 1 (242 enodes) 46.540 * * [simplify]: Extracting #0: cost 1 inf + 0 46.540 * * [simplify]: Extracting #1: cost 6 inf + 0 46.540 * * [simplify]: Extracting #2: cost 41 inf + 0 46.541 * * [simplify]: Extracting #3: cost 56 inf + 213 46.542 * * [simplify]: Extracting #4: cost 20 inf + 2732 46.545 * * [simplify]: Extracting #5: cost 1 inf + 4576 46.548 * * [simplify]: Extracting #6: cost 0 inf + 4698 46.551 * [simplify]: Simplified to (- (* -2 J) (/ (* U U) (/ J 1/4))) 46.551 * [simplify]: Simplified (2) to (λ (J K U) (- (* -2 J) (/ (* U U) (/ J 1/4)))) 46.551 * * * * [progress]: [ 136 / 143 ] simplifiying candidate # 46.551 * [simplify]: Simplifying (* -1 U) 46.552 * * [simplify]: iters left: 2 (3 enodes) 46.553 * * [simplify]: iters left: 1 (11 enodes) 46.556 * * [simplify]: Extracting #0: cost 1 inf + 0 46.556 * * [simplify]: Extracting #1: cost 4 inf + 0 46.557 * * [simplify]: Extracting #2: cost 0 inf + 84 46.557 * [simplify]: Simplified to (- U) 46.557 * [simplify]: Simplified (2) to (λ (J K U) (- U)) 46.557 * * * * [progress]: [ 137 / 143 ] simplifiying candidate # 46.557 * [simplify]: Simplifying (* -1 U) 46.557 * * [simplify]: iters left: 2 (3 enodes) 46.559 * * [simplify]: iters left: 1 (11 enodes) 46.562 * * [simplify]: Extracting #0: cost 1 inf + 0 46.562 * * [simplify]: Extracting #1: cost 4 inf + 0 46.562 * * [simplify]: Extracting #2: cost 0 inf + 84 46.562 * [simplify]: Simplified to (- U) 46.562 * [simplify]: Simplified (2) to (λ (J K U) (- U)) 46.562 * * * * [progress]: [ 138 / 143 ] simplifiying candidate # 46.563 * [simplify]: Simplifying (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (* (pow K 4) (pow U 2)) (pow J 2))))) 46.563 * * [simplify]: iters left: 6 (22 enodes) 46.575 * * [simplify]: iters left: 5 (98 enodes) 46.614 * * [simplify]: iters left: 4 (205 enodes) 46.662 * * [simplify]: Extracting #0: cost 1 inf + 0 46.662 * * [simplify]: Extracting #1: cost 8 inf + 0 46.662 * * [simplify]: Extracting #2: cost 99 inf + 0 46.663 * * [simplify]: Extracting #3: cost 194 inf + 251 46.665 * * [simplify]: Extracting #4: cost 104 inf + 10603 46.671 * * [simplify]: Extracting #5: cost 8 inf + 24728 46.679 * * [simplify]: Extracting #6: cost 0 inf + 25715 46.686 * * [simplify]: Extracting #7: cost 0 inf + 25355 46.692 * * [simplify]: Extracting #8: cost 0 inf + 25315 46.704 * [simplify]: Simplified to (+ (+ (* 1/96 (* (/ (* K K) (/ J U)) (/ (* K K) (/ J U)))) (* (* 1/4 (/ U J)) (/ U J))) (* (* (/ (* K U) J) (/ (* K U) J)) 1/16)) 46.704 * [simplify]: Simplified (2 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (+ (+ (* 1/96 (* (/ (* K K) (/ J U)) (/ (* K K) (/ J U)))) (* (* 1/4 (/ U J)) (/ U J))) (* (* (/ (* K U) J) (/ (* K U) J)) 1/16)) 1)) -2) (* (cos (/ K 2)) J))) 46.705 * * * * [progress]: [ 139 / 143 ] simplifiying candidate # 46.705 * [simplify]: Simplifying (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 46.705 * * [simplify]: iters left: 6 (14 enodes) 46.713 * * [simplify]: iters left: 5 (60 enodes) 46.728 * * [simplify]: iters left: 4 (121 enodes) 46.762 * * [simplify]: iters left: 3 (401 enodes) 46.995 * * [simplify]: Extracting #0: cost 1 inf + 0 46.995 * * [simplify]: Extracting #1: cost 135 inf + 0 46.997 * * [simplify]: Extracting #2: cost 287 inf + 168 47.001 * * [simplify]: Extracting #3: cost 261 inf + 2234 47.008 * * [simplify]: Extracting #4: cost 167 inf + 19219 47.034 * * [simplify]: Extracting #5: cost 11 inf + 55565 47.062 * * [simplify]: Extracting #6: cost 0 inf + 57309 47.086 * * [simplify]: Extracting #7: cost 0 inf + 57229 47.100 * [simplify]: Simplified to (* (* (/ U (* J (cos (* 1/2 K)))) (/ U (* J (cos (* 1/2 K))))) 1/4) 47.100 * [simplify]: Simplified (2 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (* (/ U (* J (cos (* 1/2 K)))) (/ U (* J (cos (* 1/2 K))))) 1/4) 1)) -2) (* (cos (/ K 2)) J))) 47.100 * * * * [progress]: [ 140 / 143 ] simplifiying candidate # 47.100 * [simplify]: Simplifying (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 47.100 * * [simplify]: iters left: 6 (14 enodes) 47.105 * * [simplify]: iters left: 5 (60 enodes) 47.124 * * [simplify]: iters left: 4 (121 enodes) 47.164 * * [simplify]: iters left: 3 (401 enodes) 47.325 * * [simplify]: Extracting #0: cost 1 inf + 0 47.325 * * [simplify]: Extracting #1: cost 135 inf + 0 47.327 * * [simplify]: Extracting #2: cost 287 inf + 168 47.328 * * [simplify]: Extracting #3: cost 261 inf + 2234 47.333 * * [simplify]: Extracting #4: cost 167 inf + 19219 47.358 * * [simplify]: Extracting #5: cost 11 inf + 55565 47.390 * * [simplify]: Extracting #6: cost 0 inf + 57309 47.419 * * [simplify]: Extracting #7: cost 0 inf + 57229 47.440 * [simplify]: Simplified to (* (* (/ U (* J (cos (* 1/2 K)))) (/ U (* J (cos (* 1/2 K))))) 1/4) 47.440 * [simplify]: Simplified (2 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (* (/ U (* J (cos (* 1/2 K)))) (/ U (* J (cos (* 1/2 K))))) 1/4) 1)) -2) (* (cos (/ K 2)) J))) 47.440 * * * * [progress]: [ 141 / 143 ] simplifiying candidate # 47.440 * [simplify]: Simplifying (- J (* 1/8 (* (pow K 2) J))) 47.440 * * [simplify]: iters left: 6 (8 enodes) 47.443 * * [simplify]: iters left: 5 (35 enodes) 47.450 * * [simplify]: iters left: 4 (67 enodes) 47.463 * * [simplify]: iters left: 3 (133 enodes) 47.495 * * [simplify]: iters left: 2 (207 enodes) 47.532 * * [simplify]: iters left: 1 (230 enodes) 47.599 * * [simplify]: Extracting #0: cost 1 inf + 0 47.599 * * [simplify]: Extracting #1: cost 6 inf + 0 47.599 * * [simplify]: Extracting #2: cost 28 inf + 1 47.599 * * [simplify]: Extracting #3: cost 33 inf + 378 47.601 * * [simplify]: Extracting #4: cost 2 inf + 2884 47.603 * * [simplify]: Extracting #5: cost 0 inf + 3130 47.605 * [simplify]: Simplified to (- J (* (* K K) (* J 1/8))) 47.605 * [simplify]: Simplified (2 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (- J (* (* K K) (* J 1/8))))) 47.605 * * * * [progress]: [ 142 / 143 ] simplifiying candidate # 47.606 * [simplify]: Simplifying (* (cos (* 1/2 K)) J) 47.606 * * [simplify]: iters left: 5 (6 enodes) 47.609 * * [simplify]: iters left: 4 (20 enodes) 47.615 * * [simplify]: Extracting #0: cost 1 inf + 0 47.615 * * [simplify]: Extracting #1: cost 4 inf + 0 47.615 * * [simplify]: Extracting #2: cost 5 inf + 1 47.615 * * [simplify]: Extracting #3: cost 8 inf + 1 47.615 * * [simplify]: Extracting #4: cost 6 inf + 3 47.615 * * [simplify]: Extracting #5: cost 0 inf + 577 47.615 * [simplify]: Simplified to (* (cos (* 1/2 K)) J) 47.615 * [simplify]: Simplified (2 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (* 1/2 K)) J))) 47.616 * * * * [progress]: [ 143 / 143 ] simplifiying candidate # 47.616 * [simplify]: Simplifying (* (cos (* 1/2 K)) J) 47.616 * * [simplify]: iters left: 5 (6 enodes) 47.619 * * [simplify]: iters left: 4 (20 enodes) 47.625 * * [simplify]: Extracting #0: cost 1 inf + 0 47.625 * * [simplify]: Extracting #1: cost 4 inf + 0 47.625 * * [simplify]: Extracting #2: cost 5 inf + 1 47.625 * * [simplify]: Extracting #3: cost 8 inf + 1 47.625 * * [simplify]: Extracting #4: cost 6 inf + 3 47.626 * * [simplify]: Extracting #5: cost 0 inf + 577 47.626 * [simplify]: Simplified to (* (cos (* 1/2 K)) J) 47.626 * [simplify]: Simplified (2 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (* 1/2 K)) J))) 47.626 * * * [progress]: adding candidates to table 49.591 * * [progress]: iteration 2 / 4 49.591 * * * [progress]: picking best candidate 49.647 * * * * [pick]: Picked # 49.647 * * * [progress]: localizing error 49.691 * * * [progress]: generating rewritten candidates 49.691 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 49.832 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 51.096 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1 1) 51.207 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 1 2 2 2) 51.216 * * * [progress]: generating series expansions 51.216 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 51.217 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) 51.217 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U K J) around 0 51.217 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 51.217 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 51.217 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 51.217 * [taylor]: Taking taylor expansion of 1/4 in J 51.217 * [backup-simplify]: Simplify 1/4 into 1/4 51.217 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 51.217 * [taylor]: Taking taylor expansion of (pow U 2) in J 51.217 * [taylor]: Taking taylor expansion of U in J 51.217 * [backup-simplify]: Simplify U into U 51.217 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 51.217 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 51.217 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 51.217 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 51.217 * [taylor]: Taking taylor expansion of 1/2 in J 51.217 * [backup-simplify]: Simplify 1/2 into 1/2 51.217 * [taylor]: Taking taylor expansion of K in J 51.217 * [backup-simplify]: Simplify K into K 51.217 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 51.217 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 51.217 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 51.217 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 51.217 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 51.218 * [backup-simplify]: Simplify (- 0) into 0 51.219 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 51.219 * [taylor]: Taking taylor expansion of (pow J 2) in J 51.219 * [taylor]: Taking taylor expansion of J in J 51.219 * [backup-simplify]: Simplify 0 into 0 51.219 * [backup-simplify]: Simplify 1 into 1 51.219 * [backup-simplify]: Simplify (* U U) into (pow U 2) 51.219 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 51.219 * [backup-simplify]: Simplify (* 1 1) into 1 51.219 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 51.219 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 51.219 * [taylor]: Taking taylor expansion of 1 in J 51.219 * [backup-simplify]: Simplify 1 into 1 51.219 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 51.220 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 51.220 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 51.220 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 51.220 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.221 * [backup-simplify]: Simplify (+ 0) into 0 51.221 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 51.221 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 51.222 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.222 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 51.222 * [backup-simplify]: Simplify (- 0) into 0 51.222 * [backup-simplify]: Simplify (+ 0 0) into 0 51.223 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 51.223 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 51.223 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 51.224 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 51.224 * [backup-simplify]: Simplify (+ 0 0) into 0 51.224 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 51.224 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 51.224 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 51.224 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 51.224 * [taylor]: Taking taylor expansion of 1/4 in K 51.224 * [backup-simplify]: Simplify 1/4 into 1/4 51.224 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 51.224 * [taylor]: Taking taylor expansion of (pow U 2) in K 51.224 * [taylor]: Taking taylor expansion of U in K 51.224 * [backup-simplify]: Simplify U into U 51.224 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 51.224 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 51.224 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 51.224 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 51.224 * [taylor]: Taking taylor expansion of 1/2 in K 51.224 * [backup-simplify]: Simplify 1/2 into 1/2 51.224 * [taylor]: Taking taylor expansion of K in K 51.224 * [backup-simplify]: Simplify 0 into 0 51.224 * [backup-simplify]: Simplify 1 into 1 51.225 * [backup-simplify]: Simplify (* 1/2 0) into 0 51.225 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 51.225 * [taylor]: Taking taylor expansion of (pow J 2) in K 51.225 * [taylor]: Taking taylor expansion of J in K 51.225 * [backup-simplify]: Simplify J into J 51.225 * [backup-simplify]: Simplify (* U U) into (pow U 2) 51.225 * [backup-simplify]: Simplify (* 1 1) into 1 51.225 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.226 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 51.226 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 51.226 * [taylor]: Taking taylor expansion of 1 in K 51.226 * [backup-simplify]: Simplify 1 into 1 51.226 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 51.226 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 51.226 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 51.226 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 51.226 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 51.226 * [backup-simplify]: Simplify (+ 0) into 0 51.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 51.227 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 51.228 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 51.228 * [backup-simplify]: Simplify (+ 0 0) into 0 51.228 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 51.228 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 51.228 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 51.228 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 51.228 * [taylor]: Taking taylor expansion of 1/4 in U 51.228 * [backup-simplify]: Simplify 1/4 into 1/4 51.228 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 51.228 * [taylor]: Taking taylor expansion of (pow U 2) in U 51.228 * [taylor]: Taking taylor expansion of U in U 51.228 * [backup-simplify]: Simplify 0 into 0 51.228 * [backup-simplify]: Simplify 1 into 1 51.228 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 51.228 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 51.228 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 51.228 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 51.228 * [taylor]: Taking taylor expansion of 1/2 in U 51.228 * [backup-simplify]: Simplify 1/2 into 1/2 51.228 * [taylor]: Taking taylor expansion of K in U 51.228 * [backup-simplify]: Simplify K into K 51.228 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 51.228 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 51.228 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 51.229 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 51.229 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 51.229 * [backup-simplify]: Simplify (- 0) into 0 51.229 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 51.229 * [taylor]: Taking taylor expansion of (pow J 2) in U 51.229 * [taylor]: Taking taylor expansion of J in U 51.229 * [backup-simplify]: Simplify J into J 51.229 * [backup-simplify]: Simplify (* 1 1) into 1 51.229 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 51.230 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.230 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 51.230 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 51.230 * [taylor]: Taking taylor expansion of 1 in U 51.230 * [backup-simplify]: Simplify 1 into 1 51.230 * [backup-simplify]: Simplify (+ 0 1) into 1 51.230 * [backup-simplify]: Simplify (sqrt 1) into 1 51.231 * [backup-simplify]: Simplify (+ 0 0) into 0 51.231 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 51.231 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 51.231 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 51.231 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 51.231 * [taylor]: Taking taylor expansion of 1/4 in U 51.231 * [backup-simplify]: Simplify 1/4 into 1/4 51.231 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 51.231 * [taylor]: Taking taylor expansion of (pow U 2) in U 51.231 * [taylor]: Taking taylor expansion of U in U 51.231 * [backup-simplify]: Simplify 0 into 0 51.231 * [backup-simplify]: Simplify 1 into 1 51.231 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 51.231 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 51.231 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 51.231 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 51.231 * [taylor]: Taking taylor expansion of 1/2 in U 51.231 * [backup-simplify]: Simplify 1/2 into 1/2 51.231 * [taylor]: Taking taylor expansion of K in U 51.231 * [backup-simplify]: Simplify K into K 51.231 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 51.231 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 51.231 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 51.231 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 51.231 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 51.232 * [backup-simplify]: Simplify (- 0) into 0 51.232 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 51.232 * [taylor]: Taking taylor expansion of (pow J 2) in U 51.232 * [taylor]: Taking taylor expansion of J in U 51.232 * [backup-simplify]: Simplify J into J 51.232 * [backup-simplify]: Simplify (* 1 1) into 1 51.232 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 51.232 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.232 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 51.232 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 51.232 * [taylor]: Taking taylor expansion of 1 in U 51.232 * [backup-simplify]: Simplify 1 into 1 51.233 * [backup-simplify]: Simplify (+ 0 1) into 1 51.233 * [backup-simplify]: Simplify (sqrt 1) into 1 51.233 * [backup-simplify]: Simplify (+ 0 0) into 0 51.234 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 51.234 * [taylor]: Taking taylor expansion of 1 in K 51.234 * [backup-simplify]: Simplify 1 into 1 51.234 * [taylor]: Taking taylor expansion of 1 in J 51.234 * [backup-simplify]: Simplify 1 into 1 51.234 * [taylor]: Taking taylor expansion of 0 in K 51.234 * [backup-simplify]: Simplify 0 into 0 51.234 * [taylor]: Taking taylor expansion of 0 in J 51.234 * [backup-simplify]: Simplify 0 into 0 51.234 * [taylor]: Taking taylor expansion of 0 in J 51.234 * [backup-simplify]: Simplify 0 into 0 51.234 * [backup-simplify]: Simplify 1 into 1 51.234 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 51.234 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 51.235 * [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))) 51.235 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 51.235 * [taylor]: Taking taylor expansion of 1/8 in K 51.235 * [backup-simplify]: Simplify 1/8 into 1/8 51.235 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 51.235 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 51.235 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 51.235 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 51.235 * [taylor]: Taking taylor expansion of 1/2 in K 51.235 * [backup-simplify]: Simplify 1/2 into 1/2 51.235 * [taylor]: Taking taylor expansion of K in K 51.235 * [backup-simplify]: Simplify 0 into 0 51.235 * [backup-simplify]: Simplify 1 into 1 51.236 * [backup-simplify]: Simplify (* 1/2 0) into 0 51.236 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 51.236 * [taylor]: Taking taylor expansion of (pow J 2) in K 51.236 * [taylor]: Taking taylor expansion of J in K 51.236 * [backup-simplify]: Simplify J into J 51.236 * [backup-simplify]: Simplify (* 1 1) into 1 51.236 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.236 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 51.236 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2)) 51.236 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J 51.236 * [taylor]: Taking taylor expansion of 1/8 in J 51.236 * [backup-simplify]: Simplify 1/8 into 1/8 51.236 * [taylor]: Taking taylor expansion of (pow J 2) in J 51.236 * [taylor]: Taking taylor expansion of J in J 51.237 * [backup-simplify]: Simplify 0 into 0 51.237 * [backup-simplify]: Simplify 1 into 1 51.240 * [backup-simplify]: Simplify (* 1 1) into 1 51.240 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 51.241 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.241 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 51.241 * [backup-simplify]: Simplify 0 into 0 51.241 * [taylor]: Taking taylor expansion of 0 in J 51.241 * [backup-simplify]: Simplify 0 into 0 51.241 * [taylor]: Taking taylor expansion of 0 in J 51.241 * [backup-simplify]: Simplify 0 into 0 51.241 * [backup-simplify]: Simplify 0 into 0 51.241 * [backup-simplify]: Simplify 0 into 0 51.241 * [backup-simplify]: Simplify 0 into 0 51.242 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.242 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 51.242 * [backup-simplify]: Simplify (+ 0) into 0 51.242 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 51.243 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 51.243 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.243 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 51.244 * [backup-simplify]: Simplify (- 0) into 0 51.244 * [backup-simplify]: Simplify (+ 0 0) into 0 51.244 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 51.244 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 51.244 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 51.245 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 51.245 * [backup-simplify]: Simplify (+ 0 0) into 0 51.246 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 51.246 * [taylor]: Taking taylor expansion of 0 in K 51.246 * [backup-simplify]: Simplify 0 into 0 51.246 * [taylor]: Taking taylor expansion of 0 in J 51.246 * [backup-simplify]: Simplify 0 into 0 51.246 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 51.246 * [backup-simplify]: Simplify (+ 0) into 0 51.247 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.247 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 51.247 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0 51.247 * [taylor]: Taking taylor expansion of 0 in J 51.247 * [backup-simplify]: Simplify 0 into 0 51.247 * [taylor]: Taking taylor expansion of 0 in J 51.247 * [backup-simplify]: Simplify 0 into 0 51.247 * [taylor]: Taking taylor expansion of 0 in J 51.247 * [backup-simplify]: Simplify 0 into 0 51.248 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 51.248 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.248 * [backup-simplify]: Simplify 0 into 0 51.248 * [backup-simplify]: Simplify 0 into 0 51.248 * [backup-simplify]: Simplify 1 into 1 51.249 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 51.249 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U K J) around 0 51.249 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 51.249 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 51.249 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 51.249 * [taylor]: Taking taylor expansion of 1/4 in J 51.249 * [backup-simplify]: Simplify 1/4 into 1/4 51.249 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 51.249 * [taylor]: Taking taylor expansion of (pow J 2) in J 51.249 * [taylor]: Taking taylor expansion of J in J 51.249 * [backup-simplify]: Simplify 0 into 0 51.249 * [backup-simplify]: Simplify 1 into 1 51.249 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 51.249 * [taylor]: Taking taylor expansion of (pow U 2) in J 51.249 * [taylor]: Taking taylor expansion of U in J 51.249 * [backup-simplify]: Simplify U into U 51.249 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 51.249 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 51.249 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 51.249 * [taylor]: Taking taylor expansion of 1/2 in J 51.249 * [backup-simplify]: Simplify 1/2 into 1/2 51.249 * [taylor]: Taking taylor expansion of K in J 51.249 * [backup-simplify]: Simplify K into K 51.249 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 51.249 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.249 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 51.249 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 51.249 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 51.250 * [backup-simplify]: Simplify (- 0) into 0 51.250 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 51.250 * [backup-simplify]: Simplify (* 1 1) into 1 51.250 * [backup-simplify]: Simplify (* U U) into (pow U 2) 51.250 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 51.250 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 51.250 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 51.250 * [taylor]: Taking taylor expansion of 1 in J 51.250 * [backup-simplify]: Simplify 1 into 1 51.251 * [backup-simplify]: Simplify (+ 0 1) into 1 51.251 * [backup-simplify]: Simplify (sqrt 1) into 1 51.251 * [backup-simplify]: Simplify (+ 0 0) into 0 51.252 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 51.252 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 51.252 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 51.252 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 51.252 * [taylor]: Taking taylor expansion of 1/4 in K 51.252 * [backup-simplify]: Simplify 1/4 into 1/4 51.252 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 51.252 * [taylor]: Taking taylor expansion of (pow J 2) in K 51.252 * [taylor]: Taking taylor expansion of J in K 51.252 * [backup-simplify]: Simplify J into J 51.252 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 51.252 * [taylor]: Taking taylor expansion of (pow U 2) in K 51.252 * [taylor]: Taking taylor expansion of U in K 51.252 * [backup-simplify]: Simplify U into U 51.252 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 51.252 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 51.252 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 51.252 * [taylor]: Taking taylor expansion of 1/2 in K 51.252 * [backup-simplify]: Simplify 1/2 into 1/2 51.252 * [taylor]: Taking taylor expansion of K in K 51.252 * [backup-simplify]: Simplify 0 into 0 51.252 * [backup-simplify]: Simplify 1 into 1 51.252 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 51.252 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.253 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.253 * [backup-simplify]: Simplify (* U U) into (pow U 2) 51.253 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 51.253 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 51.253 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 51.253 * [taylor]: Taking taylor expansion of 1 in K 51.253 * [backup-simplify]: Simplify 1 into 1 51.253 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 51.254 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 51.254 * [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)) 51.254 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 51.254 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 51.255 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 51.255 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 51.255 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 51.256 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 51.257 * [backup-simplify]: Simplify (+ 0 0) into 0 51.257 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 51.257 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 51.257 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 51.257 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 51.257 * [taylor]: Taking taylor expansion of 1/4 in U 51.257 * [backup-simplify]: Simplify 1/4 into 1/4 51.257 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 51.257 * [taylor]: Taking taylor expansion of (pow J 2) in U 51.257 * [taylor]: Taking taylor expansion of J in U 51.257 * [backup-simplify]: Simplify J into J 51.257 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 51.257 * [taylor]: Taking taylor expansion of (pow U 2) in U 51.257 * [taylor]: Taking taylor expansion of U in U 51.257 * [backup-simplify]: Simplify 0 into 0 51.257 * [backup-simplify]: Simplify 1 into 1 51.258 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 51.258 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 51.258 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 51.258 * [taylor]: Taking taylor expansion of 1/2 in U 51.258 * [backup-simplify]: Simplify 1/2 into 1/2 51.258 * [taylor]: Taking taylor expansion of K in U 51.258 * [backup-simplify]: Simplify K into K 51.258 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 51.258 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.258 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 51.258 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 51.258 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 51.259 * [backup-simplify]: Simplify (- 0) into 0 51.259 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 51.259 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.259 * [backup-simplify]: Simplify (* 1 1) into 1 51.259 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 51.259 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 51.260 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 51.260 * [taylor]: Taking taylor expansion of 1 in U 51.260 * [backup-simplify]: Simplify 1 into 1 51.260 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 51.260 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 51.260 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 51.260 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 51.261 * [backup-simplify]: Simplify (+ 0) into 0 51.261 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 51.261 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 51.262 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.263 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 51.263 * [backup-simplify]: Simplify (- 0) into 0 51.263 * [backup-simplify]: Simplify (+ 0 0) into 0 51.264 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 51.264 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.265 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 51.265 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 51.266 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 51.266 * [backup-simplify]: Simplify (+ 0 0) into 0 51.267 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 51.267 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 51.267 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 51.267 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 51.267 * [taylor]: Taking taylor expansion of 1/4 in U 51.267 * [backup-simplify]: Simplify 1/4 into 1/4 51.267 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 51.267 * [taylor]: Taking taylor expansion of (pow J 2) in U 51.267 * [taylor]: Taking taylor expansion of J in U 51.267 * [backup-simplify]: Simplify J into J 51.267 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 51.267 * [taylor]: Taking taylor expansion of (pow U 2) in U 51.267 * [taylor]: Taking taylor expansion of U in U 51.267 * [backup-simplify]: Simplify 0 into 0 51.267 * [backup-simplify]: Simplify 1 into 1 51.267 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 51.267 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 51.267 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 51.267 * [taylor]: Taking taylor expansion of 1/2 in U 51.267 * [backup-simplify]: Simplify 1/2 into 1/2 51.267 * [taylor]: Taking taylor expansion of K in U 51.267 * [backup-simplify]: Simplify K into K 51.267 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 51.267 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.267 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 51.267 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 51.267 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 51.268 * [backup-simplify]: Simplify (- 0) into 0 51.268 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 51.268 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.268 * [backup-simplify]: Simplify (* 1 1) into 1 51.269 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 51.269 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 51.269 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 51.269 * [taylor]: Taking taylor expansion of 1 in U 51.269 * [backup-simplify]: Simplify 1 into 1 51.269 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 51.269 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 51.270 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 51.270 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 51.270 * [backup-simplify]: Simplify (+ 0) into 0 51.271 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 51.271 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 51.272 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.272 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 51.272 * [backup-simplify]: Simplify (- 0) into 0 51.272 * [backup-simplify]: Simplify (+ 0 0) into 0 51.273 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 51.273 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.273 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 51.274 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 51.274 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 51.274 * [backup-simplify]: Simplify (+ 0 0) into 0 51.274 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 51.275 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K 51.275 * [taylor]: Taking taylor expansion of 1/2 in K 51.275 * [backup-simplify]: Simplify 1/2 into 1/2 51.275 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K 51.275 * [taylor]: Taking taylor expansion of J in K 51.275 * [backup-simplify]: Simplify J into J 51.275 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 51.275 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 51.275 * [taylor]: Taking taylor expansion of 1/2 in K 51.275 * [backup-simplify]: Simplify 1/2 into 1/2 51.275 * [taylor]: Taking taylor expansion of K in K 51.275 * [backup-simplify]: Simplify 0 into 0 51.275 * [backup-simplify]: Simplify 1 into 1 51.275 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 51.275 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.275 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 51.275 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 51.275 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 51.275 * [taylor]: Taking taylor expansion of 1/2 in J 51.275 * [backup-simplify]: Simplify 1/2 into 1/2 51.275 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 51.275 * [taylor]: Taking taylor expansion of J in J 51.275 * [backup-simplify]: Simplify 0 into 0 51.275 * [backup-simplify]: Simplify 1 into 1 51.275 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 51.275 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 51.275 * [taylor]: Taking taylor expansion of 1/2 in J 51.275 * [backup-simplify]: Simplify 1/2 into 1/2 51.275 * [taylor]: Taking taylor expansion of K in J 51.275 * [backup-simplify]: Simplify K into K 51.275 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 51.275 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.275 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 51.276 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 51.276 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 51.276 * [backup-simplify]: Simplify (- 0) into 0 51.276 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 51.276 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 51.276 * [taylor]: Taking taylor expansion of 0 in K 51.276 * [backup-simplify]: Simplify 0 into 0 51.276 * [taylor]: Taking taylor expansion of 0 in J 51.276 * [backup-simplify]: Simplify 0 into 0 51.276 * [backup-simplify]: Simplify 0 into 0 51.276 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 51.277 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 51.277 * [taylor]: Taking taylor expansion of 0 in J 51.277 * [backup-simplify]: Simplify 0 into 0 51.277 * [backup-simplify]: Simplify 0 into 0 51.277 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 51.277 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 51.277 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 51.278 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 51.278 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 51.279 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 51.279 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 51.279 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 51.280 * [backup-simplify]: Simplify (- 0) into 0 51.280 * [backup-simplify]: Simplify (+ 0 0) into 0 51.280 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 51.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 51.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 51.282 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 51.282 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 51.282 * [backup-simplify]: Simplify (+ 0 1) into 1 51.283 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 51.283 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 51.283 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 51.283 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 51.283 * [taylor]: Taking taylor expansion of 1/2 in K 51.283 * [backup-simplify]: Simplify 1/2 into 1/2 51.283 * [taylor]: Taking taylor expansion of K in K 51.283 * [backup-simplify]: Simplify 0 into 0 51.283 * [backup-simplify]: Simplify 1 into 1 51.283 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 51.283 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.283 * [taylor]: Taking taylor expansion of J in K 51.283 * [backup-simplify]: Simplify J into J 51.284 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 51.284 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 51.284 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 51.284 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 51.284 * [taylor]: Taking taylor expansion of 1/2 in J 51.284 * [backup-simplify]: Simplify 1/2 into 1/2 51.284 * [taylor]: Taking taylor expansion of K in J 51.284 * [backup-simplify]: Simplify K into K 51.284 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 51.284 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.284 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 51.284 * [taylor]: Taking taylor expansion of J in J 51.284 * [backup-simplify]: Simplify 0 into 0 51.284 * [backup-simplify]: Simplify 1 into 1 51.284 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 51.284 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 51.284 * [backup-simplify]: Simplify (- 0) into 0 51.284 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 51.284 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 51.285 * [backup-simplify]: Simplify (+ 0) into 0 51.285 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 51.285 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 51.285 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.286 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 51.286 * [backup-simplify]: Simplify (- 0) into 0 51.286 * [backup-simplify]: Simplify (+ 0 0) into 0 51.287 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 51.287 * [backup-simplify]: Simplify 0 into 0 51.287 * [taylor]: Taking taylor expansion of 0 in J 51.287 * [backup-simplify]: Simplify 0 into 0 51.287 * [backup-simplify]: Simplify 0 into 0 51.287 * [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 51.288 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 51.288 * [taylor]: Taking taylor expansion of 0 in J 51.288 * [backup-simplify]: Simplify 0 into 0 51.288 * [backup-simplify]: Simplify 0 into 0 51.288 * [backup-simplify]: Simplify 0 into 0 51.288 * [backup-simplify]: Simplify 0 into 0 51.288 * [backup-simplify]: Simplify (+ 0) into 0 51.288 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 51.288 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 51.289 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.289 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 51.289 * [backup-simplify]: Simplify (- 0) into 0 51.290 * [backup-simplify]: Simplify (+ 0 0) into 0 51.290 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 51.290 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 51.290 * [backup-simplify]: Simplify 0 into 0 51.290 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 J) (* 1 (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 51.291 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 51.291 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U K J) around 0 51.291 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 51.291 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 51.291 * [taylor]: Taking taylor expansion of 1 in J 51.291 * [backup-simplify]: Simplify 1 into 1 51.291 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 51.291 * [taylor]: Taking taylor expansion of 1/4 in J 51.291 * [backup-simplify]: Simplify 1/4 into 1/4 51.291 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 51.291 * [taylor]: Taking taylor expansion of (pow J 2) in J 51.291 * [taylor]: Taking taylor expansion of J in J 51.291 * [backup-simplify]: Simplify 0 into 0 51.291 * [backup-simplify]: Simplify 1 into 1 51.291 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 51.291 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 51.291 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 51.291 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 51.291 * [taylor]: Taking taylor expansion of -1/2 in J 51.291 * [backup-simplify]: Simplify -1/2 into -1/2 51.291 * [taylor]: Taking taylor expansion of K in J 51.291 * [backup-simplify]: Simplify K into K 51.291 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 51.291 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.291 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 51.291 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 51.291 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 51.291 * [backup-simplify]: Simplify (- 0) into 0 51.291 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 51.292 * [taylor]: Taking taylor expansion of (pow U 2) in J 51.292 * [taylor]: Taking taylor expansion of U in J 51.292 * [backup-simplify]: Simplify U into U 51.292 * [backup-simplify]: Simplify (* 1 1) into 1 51.292 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 51.292 * [backup-simplify]: Simplify (* U U) into (pow U 2) 51.292 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 51.292 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 51.292 * [backup-simplify]: Simplify (+ 1 0) into 1 51.293 * [backup-simplify]: Simplify (sqrt 1) into 1 51.293 * [backup-simplify]: Simplify (+ 0 0) into 0 51.293 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 51.293 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 51.293 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 51.293 * [taylor]: Taking taylor expansion of 1 in K 51.293 * [backup-simplify]: Simplify 1 into 1 51.293 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 51.293 * [taylor]: Taking taylor expansion of 1/4 in K 51.293 * [backup-simplify]: Simplify 1/4 into 1/4 51.293 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 51.293 * [taylor]: Taking taylor expansion of (pow J 2) in K 51.293 * [taylor]: Taking taylor expansion of J in K 51.293 * [backup-simplify]: Simplify J into J 51.293 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 51.294 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 51.294 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 51.294 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 51.294 * [taylor]: Taking taylor expansion of -1/2 in K 51.294 * [backup-simplify]: Simplify -1/2 into -1/2 51.294 * [taylor]: Taking taylor expansion of K in K 51.294 * [backup-simplify]: Simplify 0 into 0 51.294 * [backup-simplify]: Simplify 1 into 1 51.294 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 51.294 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.294 * [taylor]: Taking taylor expansion of (pow U 2) in K 51.294 * [taylor]: Taking taylor expansion of U in K 51.294 * [backup-simplify]: Simplify U into U 51.294 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.294 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 51.294 * [backup-simplify]: Simplify (* U U) into (pow U 2) 51.294 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 51.294 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 51.294 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 51.295 * [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))))) 51.295 * [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)))))) 51.295 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 51.295 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 51.295 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 51.295 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 51.296 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 51.296 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 51.296 * [backup-simplify]: Simplify (+ 0 0) into 0 51.297 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 51.297 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 51.297 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 51.297 * [taylor]: Taking taylor expansion of 1 in U 51.297 * [backup-simplify]: Simplify 1 into 1 51.297 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 51.297 * [taylor]: Taking taylor expansion of 1/4 in U 51.297 * [backup-simplify]: Simplify 1/4 into 1/4 51.297 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 51.297 * [taylor]: Taking taylor expansion of (pow J 2) in U 51.297 * [taylor]: Taking taylor expansion of J in U 51.297 * [backup-simplify]: Simplify J into J 51.297 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 51.297 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 51.297 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 51.297 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 51.297 * [taylor]: Taking taylor expansion of -1/2 in U 51.297 * [backup-simplify]: Simplify -1/2 into -1/2 51.297 * [taylor]: Taking taylor expansion of K in U 51.297 * [backup-simplify]: Simplify K into K 51.297 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 51.297 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.297 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 51.297 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 51.297 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 51.297 * [backup-simplify]: Simplify (- 0) into 0 51.298 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 51.298 * [taylor]: Taking taylor expansion of (pow U 2) in U 51.298 * [taylor]: Taking taylor expansion of U in U 51.298 * [backup-simplify]: Simplify 0 into 0 51.298 * [backup-simplify]: Simplify 1 into 1 51.298 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.298 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 51.298 * [backup-simplify]: Simplify (* 1 1) into 1 51.298 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 51.298 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 51.298 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 51.298 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 51.299 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 51.299 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 51.299 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.299 * [backup-simplify]: Simplify (+ 0) into 0 51.300 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 51.300 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 51.300 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.301 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 51.301 * [backup-simplify]: Simplify (- 0) into 0 51.301 * [backup-simplify]: Simplify (+ 0 0) into 0 51.302 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 51.302 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 51.303 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 51.303 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 51.304 * [backup-simplify]: Simplify (+ 0 0) into 0 51.304 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 51.304 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 51.304 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 51.304 * [taylor]: Taking taylor expansion of 1 in U 51.304 * [backup-simplify]: Simplify 1 into 1 51.304 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 51.304 * [taylor]: Taking taylor expansion of 1/4 in U 51.304 * [backup-simplify]: Simplify 1/4 into 1/4 51.304 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 51.304 * [taylor]: Taking taylor expansion of (pow J 2) in U 51.304 * [taylor]: Taking taylor expansion of J in U 51.304 * [backup-simplify]: Simplify J into J 51.304 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 51.304 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 51.304 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 51.304 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 51.304 * [taylor]: Taking taylor expansion of -1/2 in U 51.304 * [backup-simplify]: Simplify -1/2 into -1/2 51.304 * [taylor]: Taking taylor expansion of K in U 51.304 * [backup-simplify]: Simplify K into K 51.304 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 51.305 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.305 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 51.305 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 51.305 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 51.305 * [backup-simplify]: Simplify (- 0) into 0 51.305 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 51.305 * [taylor]: Taking taylor expansion of (pow U 2) in U 51.305 * [taylor]: Taking taylor expansion of U in U 51.305 * [backup-simplify]: Simplify 0 into 0 51.305 * [backup-simplify]: Simplify 1 into 1 51.305 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.306 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 51.306 * [backup-simplify]: Simplify (* 1 1) into 1 51.306 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 51.306 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 51.306 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 51.307 * [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))) 51.307 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 51.307 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 51.308 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.308 * [backup-simplify]: Simplify (+ 0) into 0 51.309 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 51.309 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 51.310 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.310 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 51.311 * [backup-simplify]: Simplify (- 0) into 0 51.311 * [backup-simplify]: Simplify (+ 0 0) into 0 51.311 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 51.312 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 51.312 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 51.313 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 51.313 * [backup-simplify]: Simplify (+ 0 0) into 0 51.313 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 51.313 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K 51.313 * [taylor]: Taking taylor expansion of 1/2 in K 51.313 * [backup-simplify]: Simplify 1/2 into 1/2 51.314 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K 51.314 * [taylor]: Taking taylor expansion of J in K 51.314 * [backup-simplify]: Simplify J into J 51.314 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 51.314 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 51.314 * [taylor]: Taking taylor expansion of -1/2 in K 51.314 * [backup-simplify]: Simplify -1/2 into -1/2 51.314 * [taylor]: Taking taylor expansion of K in K 51.314 * [backup-simplify]: Simplify 0 into 0 51.314 * [backup-simplify]: Simplify 1 into 1 51.314 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 51.314 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.314 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 51.314 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 51.315 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 51.315 * [taylor]: Taking taylor expansion of 1/2 in J 51.315 * [backup-simplify]: Simplify 1/2 into 1/2 51.315 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 51.315 * [taylor]: Taking taylor expansion of J in J 51.315 * [backup-simplify]: Simplify 0 into 0 51.315 * [backup-simplify]: Simplify 1 into 1 51.315 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 51.315 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 51.315 * [taylor]: Taking taylor expansion of -1/2 in J 51.315 * [backup-simplify]: Simplify -1/2 into -1/2 51.315 * [taylor]: Taking taylor expansion of K in J 51.315 * [backup-simplify]: Simplify K into K 51.315 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 51.315 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.315 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 51.315 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 51.315 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 51.316 * [backup-simplify]: Simplify (- 0) into 0 51.316 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 51.316 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 51.316 * [taylor]: Taking taylor expansion of 0 in K 51.316 * [backup-simplify]: Simplify 0 into 0 51.316 * [taylor]: Taking taylor expansion of 0 in J 51.316 * [backup-simplify]: Simplify 0 into 0 51.316 * [backup-simplify]: Simplify 0 into 0 51.316 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 51.316 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 51.316 * [taylor]: Taking taylor expansion of 0 in J 51.316 * [backup-simplify]: Simplify 0 into 0 51.316 * [backup-simplify]: Simplify 0 into 0 51.316 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 51.317 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 51.317 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 51.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 51.318 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 51.318 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 51.318 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 51.319 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 51.319 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 51.319 * [backup-simplify]: Simplify (- 0) into 0 51.320 * [backup-simplify]: Simplify (+ 0 0) into 0 51.320 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 51.320 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 51.321 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 51.321 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 51.322 * [backup-simplify]: Simplify (+ 1 0) into 1 51.322 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 51.322 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 51.322 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 51.322 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 51.322 * [taylor]: Taking taylor expansion of -1/2 in K 51.322 * [backup-simplify]: Simplify -1/2 into -1/2 51.322 * [taylor]: Taking taylor expansion of K in K 51.322 * [backup-simplify]: Simplify 0 into 0 51.322 * [backup-simplify]: Simplify 1 into 1 51.323 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 51.323 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.323 * [taylor]: Taking taylor expansion of J in K 51.323 * [backup-simplify]: Simplify J into J 51.323 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 51.323 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 51.323 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 51.323 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 51.323 * [taylor]: Taking taylor expansion of -1/2 in J 51.323 * [backup-simplify]: Simplify -1/2 into -1/2 51.323 * [taylor]: Taking taylor expansion of K in J 51.323 * [backup-simplify]: Simplify K into K 51.323 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 51.323 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.323 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 51.323 * [taylor]: Taking taylor expansion of J in J 51.323 * [backup-simplify]: Simplify 0 into 0 51.323 * [backup-simplify]: Simplify 1 into 1 51.323 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 51.323 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 51.323 * [backup-simplify]: Simplify (- 0) into 0 51.324 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 51.324 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 51.324 * [backup-simplify]: Simplify (+ 0) into 0 51.324 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 51.324 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 51.325 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.325 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 51.325 * [backup-simplify]: Simplify (- 0) into 0 51.325 * [backup-simplify]: Simplify (+ 0 0) into 0 51.326 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 51.326 * [backup-simplify]: Simplify 0 into 0 51.326 * [taylor]: Taking taylor expansion of 0 in J 51.326 * [backup-simplify]: Simplify 0 into 0 51.326 * [backup-simplify]: Simplify 0 into 0 51.326 * [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 51.327 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 51.327 * [taylor]: Taking taylor expansion of 0 in J 51.327 * [backup-simplify]: Simplify 0 into 0 51.327 * [backup-simplify]: Simplify 0 into 0 51.327 * [backup-simplify]: Simplify 0 into 0 51.327 * [backup-simplify]: Simplify 0 into 0 51.327 * [backup-simplify]: Simplify (+ 0) into 0 51.328 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 51.328 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 51.328 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.328 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 51.329 * [backup-simplify]: Simplify (- 0) into 0 51.329 * [backup-simplify]: Simplify (+ 0 0) into 0 51.329 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 51.329 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 51.329 * [backup-simplify]: Simplify 0 into 0 51.330 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 51.330 * * * * [progress]: [ 2 / 4 ] generating series at (2) 51.330 * [backup-simplify]: Simplify (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J) into (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) 51.330 * [approximate]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in (U K J) around 0 51.330 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J 51.330 * [taylor]: Taking taylor expansion of -2 in J 51.330 * [backup-simplify]: Simplify -2 into -2 51.330 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J 51.330 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 51.330 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 51.330 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 51.330 * [taylor]: Taking taylor expansion of 1/2 in J 51.330 * [backup-simplify]: Simplify 1/2 into 1/2 51.330 * [taylor]: Taking taylor expansion of K in J 51.330 * [backup-simplify]: Simplify K into K 51.330 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 51.330 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 51.330 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 51.330 * [taylor]: Taking taylor expansion of J in J 51.330 * [backup-simplify]: Simplify 0 into 0 51.330 * [backup-simplify]: Simplify 1 into 1 51.330 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 51.330 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 51.330 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 51.330 * [taylor]: Taking taylor expansion of 1/4 in J 51.330 * [backup-simplify]: Simplify 1/4 into 1/4 51.330 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 51.330 * [taylor]: Taking taylor expansion of (pow U 2) in J 51.330 * [taylor]: Taking taylor expansion of U in J 51.330 * [backup-simplify]: Simplify U into U 51.330 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 51.330 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 51.330 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 51.331 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 51.331 * [taylor]: Taking taylor expansion of 1/2 in J 51.331 * [backup-simplify]: Simplify 1/2 into 1/2 51.331 * [taylor]: Taking taylor expansion of K in J 51.331 * [backup-simplify]: Simplify K into K 51.331 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 51.331 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 51.331 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 51.331 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 51.331 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 51.331 * [backup-simplify]: Simplify (- 0) into 0 51.331 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 51.331 * [taylor]: Taking taylor expansion of (pow J 2) in J 51.331 * [taylor]: Taking taylor expansion of J in J 51.331 * [backup-simplify]: Simplify 0 into 0 51.331 * [backup-simplify]: Simplify 1 into 1 51.331 * [backup-simplify]: Simplify (* U U) into (pow U 2) 51.331 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 51.332 * [backup-simplify]: Simplify (* 1 1) into 1 51.332 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 51.332 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 51.332 * [taylor]: Taking taylor expansion of 1 in J 51.332 * [backup-simplify]: Simplify 1 into 1 51.332 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 51.332 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 51.332 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 51.332 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 51.333 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.333 * [backup-simplify]: Simplify (+ 0) into 0 51.333 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 51.333 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 51.334 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.334 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 51.334 * [backup-simplify]: Simplify (- 0) into 0 51.335 * [backup-simplify]: Simplify (+ 0 0) into 0 51.335 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 51.335 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 51.335 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 51.336 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 51.336 * [backup-simplify]: Simplify (+ 0 0) into 0 51.336 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 51.336 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in K 51.336 * [taylor]: Taking taylor expansion of -2 in K 51.336 * [backup-simplify]: Simplify -2 into -2 51.336 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in K 51.336 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 51.336 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 51.336 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 51.336 * [taylor]: Taking taylor expansion of 1/2 in K 51.336 * [backup-simplify]: Simplify 1/2 into 1/2 51.336 * [taylor]: Taking taylor expansion of K in K 51.336 * [backup-simplify]: Simplify 0 into 0 51.336 * [backup-simplify]: Simplify 1 into 1 51.337 * [backup-simplify]: Simplify (* 1/2 0) into 0 51.337 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 51.337 * [taylor]: Taking taylor expansion of J in K 51.337 * [backup-simplify]: Simplify J into J 51.337 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 51.337 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 51.337 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 51.337 * [taylor]: Taking taylor expansion of 1/4 in K 51.337 * [backup-simplify]: Simplify 1/4 into 1/4 51.337 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 51.337 * [taylor]: Taking taylor expansion of (pow U 2) in K 51.337 * [taylor]: Taking taylor expansion of U in K 51.337 * [backup-simplify]: Simplify U into U 51.337 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 51.337 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 51.337 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 51.337 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 51.337 * [taylor]: Taking taylor expansion of 1/2 in K 51.337 * [backup-simplify]: Simplify 1/2 into 1/2 51.337 * [taylor]: Taking taylor expansion of K in K 51.337 * [backup-simplify]: Simplify 0 into 0 51.337 * [backup-simplify]: Simplify 1 into 1 51.338 * [backup-simplify]: Simplify (* 1/2 0) into 0 51.338 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 51.338 * [taylor]: Taking taylor expansion of (pow J 2) in K 51.338 * [taylor]: Taking taylor expansion of J in K 51.338 * [backup-simplify]: Simplify J into J 51.338 * [backup-simplify]: Simplify (* U U) into (pow U 2) 51.338 * [backup-simplify]: Simplify (* 1 1) into 1 51.338 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.338 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 51.339 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 51.339 * [taylor]: Taking taylor expansion of 1 in K 51.339 * [backup-simplify]: Simplify 1 into 1 51.339 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 51.339 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 51.339 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 51.339 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 51.339 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 51.339 * [backup-simplify]: Simplify (+ 0) into 0 51.340 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.340 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 51.340 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 51.340 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 51.341 * [backup-simplify]: Simplify (+ 0 0) into 0 51.341 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 51.341 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 51.341 * [taylor]: Taking taylor expansion of -2 in U 51.341 * [backup-simplify]: Simplify -2 into -2 51.341 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 51.341 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 51.341 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 51.341 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 51.341 * [taylor]: Taking taylor expansion of 1/2 in U 51.341 * [backup-simplify]: Simplify 1/2 into 1/2 51.341 * [taylor]: Taking taylor expansion of K in U 51.341 * [backup-simplify]: Simplify K into K 51.341 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 51.341 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 51.341 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 51.341 * [taylor]: Taking taylor expansion of J in U 51.341 * [backup-simplify]: Simplify J into J 51.341 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 51.341 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 51.341 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 51.341 * [taylor]: Taking taylor expansion of 1/4 in U 51.341 * [backup-simplify]: Simplify 1/4 into 1/4 51.341 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 51.341 * [taylor]: Taking taylor expansion of (pow U 2) in U 51.341 * [taylor]: Taking taylor expansion of U in U 51.341 * [backup-simplify]: Simplify 0 into 0 51.341 * [backup-simplify]: Simplify 1 into 1 51.341 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 51.341 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 51.341 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 51.341 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 51.341 * [taylor]: Taking taylor expansion of 1/2 in U 51.341 * [backup-simplify]: Simplify 1/2 into 1/2 51.341 * [taylor]: Taking taylor expansion of K in U 51.341 * [backup-simplify]: Simplify K into K 51.342 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 51.342 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 51.342 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 51.342 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 51.342 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 51.342 * [backup-simplify]: Simplify (- 0) into 0 51.342 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 51.342 * [taylor]: Taking taylor expansion of (pow J 2) in U 51.342 * [taylor]: Taking taylor expansion of J in U 51.342 * [backup-simplify]: Simplify J into J 51.342 * [backup-simplify]: Simplify (* 1 1) into 1 51.342 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 51.342 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.343 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 51.343 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 51.343 * [taylor]: Taking taylor expansion of 1 in U 51.343 * [backup-simplify]: Simplify 1 into 1 51.343 * [backup-simplify]: Simplify (+ 0 1) into 1 51.343 * [backup-simplify]: Simplify (sqrt 1) into 1 51.343 * [backup-simplify]: Simplify (+ 0 0) into 0 51.344 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 51.344 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 51.344 * [taylor]: Taking taylor expansion of -2 in U 51.344 * [backup-simplify]: Simplify -2 into -2 51.344 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 51.344 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 51.344 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 51.344 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 51.344 * [taylor]: Taking taylor expansion of 1/2 in U 51.344 * [backup-simplify]: Simplify 1/2 into 1/2 51.344 * [taylor]: Taking taylor expansion of K in U 51.344 * [backup-simplify]: Simplify K into K 51.344 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 51.344 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 51.344 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 51.344 * [taylor]: Taking taylor expansion of J in U 51.344 * [backup-simplify]: Simplify J into J 51.344 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 51.344 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 51.344 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 51.344 * [taylor]: Taking taylor expansion of 1/4 in U 51.344 * [backup-simplify]: Simplify 1/4 into 1/4 51.344 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 51.344 * [taylor]: Taking taylor expansion of (pow U 2) in U 51.344 * [taylor]: Taking taylor expansion of U in U 51.344 * [backup-simplify]: Simplify 0 into 0 51.344 * [backup-simplify]: Simplify 1 into 1 51.344 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 51.344 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 51.344 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 51.344 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 51.344 * [taylor]: Taking taylor expansion of 1/2 in U 51.344 * [backup-simplify]: Simplify 1/2 into 1/2 51.344 * [taylor]: Taking taylor expansion of K in U 51.344 * [backup-simplify]: Simplify K into K 51.344 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 51.345 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 51.345 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 51.345 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 51.345 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 51.345 * [backup-simplify]: Simplify (- 0) into 0 51.345 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 51.345 * [taylor]: Taking taylor expansion of (pow J 2) in U 51.345 * [taylor]: Taking taylor expansion of J in U 51.345 * [backup-simplify]: Simplify J into J 51.346 * [backup-simplify]: Simplify (* 1 1) into 1 51.346 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 51.346 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.346 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 51.346 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 51.346 * [taylor]: Taking taylor expansion of 1 in U 51.346 * [backup-simplify]: Simplify 1 into 1 51.346 * [backup-simplify]: Simplify (+ 0 1) into 1 51.346 * [backup-simplify]: Simplify (sqrt 1) into 1 51.350 * [backup-simplify]: Simplify (+ 0 0) into 0 51.350 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 51.350 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 51.351 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 51.351 * [backup-simplify]: Simplify (- 0) into 0 51.351 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 51.351 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 51.351 * [backup-simplify]: Simplify (* (* (cos (* 1/2 K)) J) 1) into (* (cos (* 1/2 K)) J) 51.351 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J)) 51.351 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in K 51.351 * [taylor]: Taking taylor expansion of -2 in K 51.351 * [backup-simplify]: Simplify -2 into -2 51.351 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 51.351 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 51.351 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 51.351 * [taylor]: Taking taylor expansion of 1/2 in K 51.351 * [backup-simplify]: Simplify 1/2 into 1/2 51.351 * [taylor]: Taking taylor expansion of K in K 51.351 * [backup-simplify]: Simplify 0 into 0 51.351 * [backup-simplify]: Simplify 1 into 1 51.351 * [backup-simplify]: Simplify (* 1/2 0) into 0 51.352 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 51.352 * [taylor]: Taking taylor expansion of J in K 51.352 * [backup-simplify]: Simplify J into J 51.352 * [backup-simplify]: Simplify (* 1 J) into J 51.352 * [backup-simplify]: Simplify (* -2 J) into (* -2 J) 51.352 * [taylor]: Taking taylor expansion of (* -2 J) in J 51.352 * [taylor]: Taking taylor expansion of -2 in J 51.352 * [backup-simplify]: Simplify -2 into -2 51.352 * [taylor]: Taking taylor expansion of J in J 51.352 * [backup-simplify]: Simplify 0 into 0 51.352 * [backup-simplify]: Simplify 1 into 1 51.352 * [backup-simplify]: Simplify (+ 0) into 0 51.353 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 51.353 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 51.353 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.354 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 51.354 * [backup-simplify]: Simplify (- 0) into 0 51.354 * [backup-simplify]: Simplify (+ 0 0) into 0 51.354 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 51.355 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (* 0 1)) into 0 51.355 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0 51.355 * [taylor]: Taking taylor expansion of 0 in K 51.355 * [backup-simplify]: Simplify 0 into 0 51.355 * [taylor]: Taking taylor expansion of 0 in J 51.355 * [backup-simplify]: Simplify 0 into 0 51.355 * [backup-simplify]: Simplify (+ 0) into 0 51.355 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 51.356 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 J)) into 0 51.356 * [taylor]: Taking taylor expansion of 0 in J 51.356 * [backup-simplify]: Simplify 0 into 0 51.356 * [backup-simplify]: Simplify (* -2 0) into 0 51.356 * [backup-simplify]: Simplify 0 into 0 51.356 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 51.356 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 51.357 * [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))) 51.358 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 51.358 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 51.359 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 51.359 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 51.359 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 51.360 * [backup-simplify]: Simplify (- 0) into 0 51.360 * [backup-simplify]: Simplify (+ 0 0) into 0 51.360 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0 51.361 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 1))) into (* 1/8 (/ 1 (* (cos (* 1/2 K)) J))) 51.361 * [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)))) 51.361 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in K 51.361 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in K 51.361 * [taylor]: Taking taylor expansion of 1/4 in K 51.361 * [backup-simplify]: Simplify 1/4 into 1/4 51.361 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in K 51.361 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 51.361 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 51.361 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 51.361 * [taylor]: Taking taylor expansion of 1/2 in K 51.361 * [backup-simplify]: Simplify 1/2 into 1/2 51.361 * [taylor]: Taking taylor expansion of K in K 51.361 * [backup-simplify]: Simplify 0 into 0 51.361 * [backup-simplify]: Simplify 1 into 1 51.362 * [backup-simplify]: Simplify (* 1/2 0) into 0 51.362 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 51.362 * [taylor]: Taking taylor expansion of J in K 51.362 * [backup-simplify]: Simplify J into J 51.362 * [backup-simplify]: Simplify (* 1 J) into J 51.362 * [backup-simplify]: Simplify (/ 1 J) into (/ 1 J) 51.362 * [backup-simplify]: Simplify (* 1/4 (/ 1 J)) into (/ 1/4 J) 51.362 * [backup-simplify]: Simplify (- (/ 1/4 J)) into (- (* 1/4 (/ 1 J))) 51.362 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 J))) in J 51.362 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 J)) in J 51.362 * [taylor]: Taking taylor expansion of 1/4 in J 51.362 * [backup-simplify]: Simplify 1/4 into 1/4 51.362 * [taylor]: Taking taylor expansion of (/ 1 J) in J 51.362 * [taylor]: Taking taylor expansion of J in J 51.362 * [backup-simplify]: Simplify 0 into 0 51.362 * [backup-simplify]: Simplify 1 into 1 51.363 * [backup-simplify]: Simplify (/ 1 1) into 1 51.363 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 51.363 * [backup-simplify]: Simplify (- 1/4) into -1/4 51.363 * [backup-simplify]: Simplify -1/4 into -1/4 51.363 * [taylor]: Taking taylor expansion of 0 in J 51.363 * [backup-simplify]: Simplify 0 into 0 51.364 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 51.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J)) 51.365 * [backup-simplify]: Simplify (+ (* -2 (- (* 1/8 J))) (+ (* 0 0) (* 0 J))) into (* 1/4 J) 51.365 * [taylor]: Taking taylor expansion of (* 1/4 J) in J 51.365 * [taylor]: Taking taylor expansion of 1/4 in J 51.365 * [backup-simplify]: Simplify 1/4 into 1/4 51.365 * [taylor]: Taking taylor expansion of J in J 51.365 * [backup-simplify]: Simplify 0 into 0 51.365 * [backup-simplify]: Simplify 1 into 1 51.365 * [backup-simplify]: Simplify 0 into 0 51.365 * [backup-simplify]: Simplify 0 into 0 51.365 * [backup-simplify]: Simplify (+ (* -2 1) (* 0 0)) into -2 51.365 * [backup-simplify]: Simplify -2 into -2 51.366 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.366 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 51.366 * [backup-simplify]: Simplify (+ 0) into 0 51.366 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 51.366 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 51.367 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.367 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 51.367 * [backup-simplify]: Simplify (- 0) into 0 51.368 * [backup-simplify]: Simplify (+ 0 0) into 0 51.368 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 51.368 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 51.368 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 51.369 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 51.369 * [backup-simplify]: Simplify (+ 0 0) into 0 51.369 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 51.370 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 51.371 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 51.371 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 51.373 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 51.373 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 51.374 * [backup-simplify]: Simplify (- 0) into 0 51.374 * [backup-simplify]: Simplify (+ 0 0) into 0 51.375 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 51.376 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (+ (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 1)))) into 0 51.377 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0 51.377 * [taylor]: Taking taylor expansion of 0 in K 51.377 * [backup-simplify]: Simplify 0 into 0 51.377 * [taylor]: Taking taylor expansion of 0 in J 51.377 * [backup-simplify]: Simplify 0 into 0 51.377 * [backup-simplify]: Simplify (+ 0) into 0 51.378 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 51.378 * [backup-simplify]: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 51.378 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 J))) into 0 51.379 * [backup-simplify]: Simplify (- 0) into 0 51.379 * [taylor]: Taking taylor expansion of 0 in J 51.379 * [backup-simplify]: Simplify 0 into 0 51.379 * [taylor]: Taking taylor expansion of 0 in J 51.379 * [backup-simplify]: Simplify 0 into 0 51.380 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 51.381 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 51.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0 51.383 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (- (* 1/8 J))) (+ (* 0 0) (* 0 J)))) into 0 51.383 * [taylor]: Taking taylor expansion of 0 in J 51.383 * [backup-simplify]: Simplify 0 into 0 51.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 51.385 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 51.385 * [backup-simplify]: Simplify (- 0) into 0 51.385 * [backup-simplify]: Simplify 0 into 0 51.385 * [backup-simplify]: Simplify 0 into 0 51.386 * [backup-simplify]: Simplify (* 1/4 0) into 0 51.386 * [backup-simplify]: Simplify 0 into 0 51.386 * [backup-simplify]: Simplify 0 into 0 51.386 * [backup-simplify]: Simplify 0 into 0 51.387 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0 51.387 * [backup-simplify]: Simplify 0 into 0 51.387 * [backup-simplify]: Simplify (+ (* -2 (* J (* 1 1))) (* -1/4 (* (/ 1 J) (* 1 (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 51.388 * [backup-simplify]: Simplify (* (* (* (sqrt (+ (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) 1)) -2) (cos (/ (/ 1 K) 2))) (/ 1 J)) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) 51.388 * [approximate]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in (U K J) around 0 51.388 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in J 51.388 * [taylor]: Taking taylor expansion of -2 in J 51.388 * [backup-simplify]: Simplify -2 into -2 51.388 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in J 51.388 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 51.388 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 51.388 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 51.388 * [taylor]: Taking taylor expansion of 1/4 in J 51.388 * [backup-simplify]: Simplify 1/4 into 1/4 51.388 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 51.388 * [taylor]: Taking taylor expansion of (pow J 2) in J 51.388 * [taylor]: Taking taylor expansion of J in J 51.389 * [backup-simplify]: Simplify 0 into 0 51.389 * [backup-simplify]: Simplify 1 into 1 51.389 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 51.389 * [taylor]: Taking taylor expansion of (pow U 2) in J 51.389 * [taylor]: Taking taylor expansion of U in J 51.389 * [backup-simplify]: Simplify U into U 51.389 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 51.389 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 51.389 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 51.389 * [taylor]: Taking taylor expansion of 1/2 in J 51.389 * [backup-simplify]: Simplify 1/2 into 1/2 51.389 * [taylor]: Taking taylor expansion of K in J 51.389 * [backup-simplify]: Simplify K into K 51.389 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 51.389 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.389 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 51.389 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 51.389 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 51.390 * [backup-simplify]: Simplify (- 0) into 0 51.390 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 51.390 * [backup-simplify]: Simplify (* 1 1) into 1 51.390 * [backup-simplify]: Simplify (* U U) into (pow U 2) 51.390 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 51.390 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 51.391 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 51.391 * [taylor]: Taking taylor expansion of 1 in J 51.391 * [backup-simplify]: Simplify 1 into 1 51.391 * [backup-simplify]: Simplify (+ 0 1) into 1 51.391 * [backup-simplify]: Simplify (sqrt 1) into 1 51.392 * [backup-simplify]: Simplify (+ 0 0) into 0 51.393 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 51.393 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 51.393 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 51.393 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 51.393 * [taylor]: Taking taylor expansion of 1/2 in J 51.393 * [backup-simplify]: Simplify 1/2 into 1/2 51.393 * [taylor]: Taking taylor expansion of K in J 51.393 * [backup-simplify]: Simplify K into K 51.393 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 51.393 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.393 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 51.393 * [taylor]: Taking taylor expansion of J in J 51.393 * [backup-simplify]: Simplify 0 into 0 51.393 * [backup-simplify]: Simplify 1 into 1 51.393 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 51.393 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 51.394 * [backup-simplify]: Simplify (- 0) into 0 51.394 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 51.394 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 51.394 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in K 51.394 * [taylor]: Taking taylor expansion of -2 in K 51.394 * [backup-simplify]: Simplify -2 into -2 51.394 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in K 51.394 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 51.394 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 51.394 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 51.394 * [taylor]: Taking taylor expansion of 1/4 in K 51.394 * [backup-simplify]: Simplify 1/4 into 1/4 51.394 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 51.394 * [taylor]: Taking taylor expansion of (pow J 2) in K 51.394 * [taylor]: Taking taylor expansion of J in K 51.394 * [backup-simplify]: Simplify J into J 51.394 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 51.394 * [taylor]: Taking taylor expansion of (pow U 2) in K 51.394 * [taylor]: Taking taylor expansion of U in K 51.394 * [backup-simplify]: Simplify U into U 51.394 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 51.394 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 51.394 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 51.394 * [taylor]: Taking taylor expansion of 1/2 in K 51.394 * [backup-simplify]: Simplify 1/2 into 1/2 51.394 * [taylor]: Taking taylor expansion of K in K 51.394 * [backup-simplify]: Simplify 0 into 0 51.394 * [backup-simplify]: Simplify 1 into 1 51.395 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 51.395 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.395 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.395 * [backup-simplify]: Simplify (* U U) into (pow U 2) 51.395 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 51.395 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 51.396 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 51.396 * [taylor]: Taking taylor expansion of 1 in K 51.396 * [backup-simplify]: Simplify 1 into 1 51.396 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 51.396 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 51.396 * [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)) 51.396 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 51.397 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 51.397 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 51.397 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 51.397 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 51.397 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 51.398 * [backup-simplify]: Simplify (+ 0 0) into 0 51.398 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 51.398 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 51.398 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 51.398 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 51.398 * [taylor]: Taking taylor expansion of 1/2 in K 51.398 * [backup-simplify]: Simplify 1/2 into 1/2 51.398 * [taylor]: Taking taylor expansion of K in K 51.398 * [backup-simplify]: Simplify 0 into 0 51.398 * [backup-simplify]: Simplify 1 into 1 51.398 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 51.398 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.398 * [taylor]: Taking taylor expansion of J in K 51.398 * [backup-simplify]: Simplify J into J 51.399 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 51.399 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in U 51.399 * [taylor]: Taking taylor expansion of -2 in U 51.399 * [backup-simplify]: Simplify -2 into -2 51.399 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in U 51.399 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 51.399 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 51.399 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 51.399 * [taylor]: Taking taylor expansion of 1/4 in U 51.399 * [backup-simplify]: Simplify 1/4 into 1/4 51.399 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 51.399 * [taylor]: Taking taylor expansion of (pow J 2) in U 51.399 * [taylor]: Taking taylor expansion of J in U 51.399 * [backup-simplify]: Simplify J into J 51.399 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 51.399 * [taylor]: Taking taylor expansion of (pow U 2) in U 51.399 * [taylor]: Taking taylor expansion of U in U 51.399 * [backup-simplify]: Simplify 0 into 0 51.399 * [backup-simplify]: Simplify 1 into 1 51.399 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 51.399 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 51.399 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 51.399 * [taylor]: Taking taylor expansion of 1/2 in U 51.399 * [backup-simplify]: Simplify 1/2 into 1/2 51.399 * [taylor]: Taking taylor expansion of K in U 51.399 * [backup-simplify]: Simplify K into K 51.399 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 51.399 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.399 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 51.399 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 51.399 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 51.399 * [backup-simplify]: Simplify (- 0) into 0 51.399 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 51.399 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.400 * [backup-simplify]: Simplify (* 1 1) into 1 51.400 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 51.400 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 51.400 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 51.400 * [taylor]: Taking taylor expansion of 1 in U 51.400 * [backup-simplify]: Simplify 1 into 1 51.400 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 51.400 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 51.400 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 51.400 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 51.401 * [backup-simplify]: Simplify (+ 0) into 0 51.401 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 51.401 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 51.402 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.402 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 51.402 * [backup-simplify]: Simplify (- 0) into 0 51.402 * [backup-simplify]: Simplify (+ 0 0) into 0 51.402 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 51.403 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.403 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 51.404 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 51.404 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 51.404 * [backup-simplify]: Simplify (+ 0 0) into 0 51.404 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 51.404 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 51.404 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 51.404 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 51.404 * [taylor]: Taking taylor expansion of 1/2 in U 51.404 * [backup-simplify]: Simplify 1/2 into 1/2 51.404 * [taylor]: Taking taylor expansion of K in U 51.404 * [backup-simplify]: Simplify K into K 51.404 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 51.404 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.405 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 51.405 * [taylor]: Taking taylor expansion of J in U 51.405 * [backup-simplify]: Simplify J into J 51.405 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 51.405 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 51.405 * [backup-simplify]: Simplify (- 0) into 0 51.405 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 51.405 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 51.405 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in U 51.405 * [taylor]: Taking taylor expansion of -2 in U 51.405 * [backup-simplify]: Simplify -2 into -2 51.405 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in U 51.405 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 51.405 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 51.405 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 51.405 * [taylor]: Taking taylor expansion of 1/4 in U 51.405 * [backup-simplify]: Simplify 1/4 into 1/4 51.405 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 51.405 * [taylor]: Taking taylor expansion of (pow J 2) in U 51.405 * [taylor]: Taking taylor expansion of J in U 51.405 * [backup-simplify]: Simplify J into J 51.405 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 51.405 * [taylor]: Taking taylor expansion of (pow U 2) in U 51.405 * [taylor]: Taking taylor expansion of U in U 51.405 * [backup-simplify]: Simplify 0 into 0 51.405 * [backup-simplify]: Simplify 1 into 1 51.405 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 51.405 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 51.405 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 51.405 * [taylor]: Taking taylor expansion of 1/2 in U 51.405 * [backup-simplify]: Simplify 1/2 into 1/2 51.405 * [taylor]: Taking taylor expansion of K in U 51.405 * [backup-simplify]: Simplify K into K 51.405 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 51.405 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.406 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 51.406 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 51.406 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 51.406 * [backup-simplify]: Simplify (- 0) into 0 51.406 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 51.406 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.406 * [backup-simplify]: Simplify (* 1 1) into 1 51.406 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 51.406 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 51.406 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 51.406 * [taylor]: Taking taylor expansion of 1 in U 51.407 * [backup-simplify]: Simplify 1 into 1 51.407 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 51.407 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 51.407 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 51.407 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 51.407 * [backup-simplify]: Simplify (+ 0) into 0 51.408 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 51.408 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 51.408 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.408 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 51.409 * [backup-simplify]: Simplify (- 0) into 0 51.409 * [backup-simplify]: Simplify (+ 0 0) into 0 51.409 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 51.409 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.410 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 51.410 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 51.410 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 51.410 * [backup-simplify]: Simplify (+ 0 0) into 0 51.411 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 51.411 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 51.411 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 51.411 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 51.411 * [taylor]: Taking taylor expansion of 1/2 in U 51.411 * [backup-simplify]: Simplify 1/2 into 1/2 51.411 * [taylor]: Taking taylor expansion of K in U 51.411 * [backup-simplify]: Simplify K into K 51.411 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 51.411 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.411 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 51.411 * [taylor]: Taking taylor expansion of J in U 51.411 * [backup-simplify]: Simplify J into J 51.411 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 51.411 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 51.411 * [backup-simplify]: Simplify (- 0) into 0 51.411 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 51.411 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 51.412 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ (cos (/ 1/2 K)) J)) into 1/2 51.412 * [backup-simplify]: Simplify (* -2 1/2) into -1 51.412 * [taylor]: Taking taylor expansion of -1 in K 51.412 * [backup-simplify]: Simplify -1 into -1 51.412 * [taylor]: Taking taylor expansion of -1 in J 51.412 * [backup-simplify]: Simplify -1 into -1 51.412 * [backup-simplify]: Simplify (+ 0) into 0 51.413 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 51.413 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 51.413 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.413 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 51.414 * [backup-simplify]: Simplify (- 0) into 0 51.414 * [backup-simplify]: Simplify (+ 0 0) into 0 51.414 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 51.414 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (/ (cos (/ 1/2 K)) J))) into 0 51.414 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0 51.415 * [taylor]: Taking taylor expansion of 0 in K 51.415 * [backup-simplify]: Simplify 0 into 0 51.415 * [taylor]: Taking taylor expansion of 0 in J 51.415 * [backup-simplify]: Simplify 0 into 0 51.415 * [taylor]: Taking taylor expansion of 0 in J 51.415 * [backup-simplify]: Simplify 0 into 0 51.415 * [backup-simplify]: Simplify -1 into -1 51.415 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 51.416 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 51.416 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 51.416 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 51.417 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 51.417 * [backup-simplify]: Simplify (- 0) into 0 51.417 * [backup-simplify]: Simplify (+ 0 0) into 0 51.417 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 51.417 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 51.418 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 51.418 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 51.418 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 51.419 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 51.419 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 51.419 * [backup-simplify]: Simplify (- 0) into 0 51.420 * [backup-simplify]: Simplify (+ 0 0) into 0 51.420 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 51.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 51.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 51.421 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 51.422 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 51.422 * [backup-simplify]: Simplify (+ 0 1) into 1 51.423 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 51.423 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* (/ (cos (/ 1/2 K)) J) (/ (cos (/ 1/2 K)) J)))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 51.424 * [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)))) 51.424 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in K 51.424 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in K 51.424 * [taylor]: Taking taylor expansion of 2 in K 51.424 * [backup-simplify]: Simplify 2 into 2 51.424 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in K 51.424 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 51.424 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 51.424 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 51.424 * [taylor]: Taking taylor expansion of 1/2 in K 51.424 * [backup-simplify]: Simplify 1/2 into 1/2 51.424 * [taylor]: Taking taylor expansion of K in K 51.424 * [backup-simplify]: Simplify 0 into 0 51.424 * [backup-simplify]: Simplify 1 into 1 51.425 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 51.425 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.425 * [taylor]: Taking taylor expansion of (pow J 2) in K 51.425 * [taylor]: Taking taylor expansion of J in K 51.425 * [backup-simplify]: Simplify J into J 51.425 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 51.425 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.425 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 51.425 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) into (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 51.425 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) 51.425 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J 51.425 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J 51.425 * [taylor]: Taking taylor expansion of 2 in J 51.425 * [backup-simplify]: Simplify 2 into 2 51.425 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J 51.425 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 51.425 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 51.425 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 51.425 * [taylor]: Taking taylor expansion of 1/2 in J 51.425 * [backup-simplify]: Simplify 1/2 into 1/2 51.425 * [taylor]: Taking taylor expansion of K in J 51.425 * [backup-simplify]: Simplify K into K 51.425 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 51.425 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.425 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 51.426 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 51.426 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 51.426 * [backup-simplify]: Simplify (- 0) into 0 51.426 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 51.426 * [taylor]: Taking taylor expansion of (pow J 2) in J 51.426 * [taylor]: Taking taylor expansion of J in J 51.426 * [backup-simplify]: Simplify 0 into 0 51.426 * [backup-simplify]: Simplify 1 into 1 51.426 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 51.426 * [backup-simplify]: Simplify (* 1 1) into 1 51.426 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 51.427 * [backup-simplify]: Simplify (+ 0) into 0 51.427 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 51.427 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 51.428 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.428 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 51.428 * [backup-simplify]: Simplify (- 0) into 0 51.428 * [backup-simplify]: Simplify (+ 0 0) into 0 51.428 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 51.429 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.429 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 51.430 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 51.430 * [backup-simplify]: Simplify (- 0) into 0 51.430 * [backup-simplify]: Simplify 0 into 0 51.430 * [taylor]: Taking taylor expansion of 0 in J 51.430 * [backup-simplify]: Simplify 0 into 0 51.430 * [taylor]: Taking taylor expansion of 0 in J 51.430 * [backup-simplify]: Simplify 0 into 0 51.430 * [backup-simplify]: Simplify 0 into 0 51.430 * [backup-simplify]: Simplify 0 into 0 51.430 * [backup-simplify]: Simplify 0 into 0 51.431 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 51.431 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 51.431 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 51.432 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 51.433 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 51.433 * [backup-simplify]: Simplify (- 0) into 0 51.434 * [backup-simplify]: Simplify (+ 0 0) into 0 51.434 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 51.435 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 51.436 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 51.437 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 51.437 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 51.439 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 51.439 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 51.440 * [backup-simplify]: Simplify (- 0) into 0 51.440 * [backup-simplify]: Simplify (+ 0 0) into 0 51.441 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 51.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 51.443 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 51.444 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 51.445 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 51.446 * [backup-simplify]: Simplify (+ 0 0) into 0 51.446 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 51.447 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* (/ (cos (/ 1/2 K)) J) 0) (* 0 (/ (cos (/ 1/2 K)) J))))) into 0 51.448 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 51.448 * [taylor]: Taking taylor expansion of 0 in K 51.448 * [backup-simplify]: Simplify 0 into 0 51.448 * [taylor]: Taking taylor expansion of 0 in J 51.448 * [backup-simplify]: Simplify 0 into 0 51.448 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 51.448 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 51.449 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 51.449 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) into 0 51.450 * [backup-simplify]: Simplify (- 0) into 0 51.450 * [taylor]: Taking taylor expansion of 0 in J 51.450 * [backup-simplify]: Simplify 0 into 0 51.450 * [taylor]: Taking taylor expansion of 0 in J 51.450 * [backup-simplify]: Simplify 0 into 0 51.450 * [taylor]: Taking taylor expansion of 0 in J 51.450 * [backup-simplify]: Simplify 0 into 0 51.451 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 51.451 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 51.452 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 51.452 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 51.453 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 51.453 * [backup-simplify]: Simplify (- 0) into 0 51.454 * [backup-simplify]: Simplify (+ 0 0) into 0 51.454 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 51.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 51.461 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.462 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 51.463 * [backup-simplify]: Simplify (- 0) into 0 51.463 * [backup-simplify]: Simplify 0 into 0 51.463 * [backup-simplify]: Simplify 0 into 0 51.463 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U) 51.464 * [backup-simplify]: Simplify (* (* (* (sqrt (+ (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) 1)) -2) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- J))) into (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) 51.464 * [approximate]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in (U K J) around 0 51.464 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J 51.464 * [taylor]: Taking taylor expansion of 2 in J 51.464 * [backup-simplify]: Simplify 2 into 2 51.464 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 51.464 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 51.464 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 51.464 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 51.464 * [taylor]: Taking taylor expansion of -1/2 in J 51.464 * [backup-simplify]: Simplify -1/2 into -1/2 51.464 * [taylor]: Taking taylor expansion of K in J 51.464 * [backup-simplify]: Simplify K into K 51.464 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 51.464 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.465 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 51.465 * [taylor]: Taking taylor expansion of J in J 51.465 * [backup-simplify]: Simplify 0 into 0 51.465 * [backup-simplify]: Simplify 1 into 1 51.465 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 51.465 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 51.465 * [backup-simplify]: Simplify (- 0) into 0 51.465 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 51.465 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 51.466 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 51.466 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 51.466 * [taylor]: Taking taylor expansion of 1 in J 51.466 * [backup-simplify]: Simplify 1 into 1 51.466 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 51.466 * [taylor]: Taking taylor expansion of 1/4 in J 51.466 * [backup-simplify]: Simplify 1/4 into 1/4 51.466 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 51.466 * [taylor]: Taking taylor expansion of (pow J 2) in J 51.466 * [taylor]: Taking taylor expansion of J in J 51.466 * [backup-simplify]: Simplify 0 into 0 51.466 * [backup-simplify]: Simplify 1 into 1 51.466 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 51.466 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 51.466 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 51.466 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 51.466 * [taylor]: Taking taylor expansion of -1/2 in J 51.466 * [backup-simplify]: Simplify -1/2 into -1/2 51.466 * [taylor]: Taking taylor expansion of K in J 51.466 * [backup-simplify]: Simplify K into K 51.466 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 51.466 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.466 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 51.466 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 51.466 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 51.467 * [backup-simplify]: Simplify (- 0) into 0 51.467 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 51.467 * [taylor]: Taking taylor expansion of (pow U 2) in J 51.467 * [taylor]: Taking taylor expansion of U in J 51.467 * [backup-simplify]: Simplify U into U 51.467 * [backup-simplify]: Simplify (* 1 1) into 1 51.468 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 51.468 * [backup-simplify]: Simplify (* U U) into (pow U 2) 51.468 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 51.468 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 51.468 * [backup-simplify]: Simplify (+ 1 0) into 1 51.469 * [backup-simplify]: Simplify (sqrt 1) into 1 51.469 * [backup-simplify]: Simplify (+ 0 0) into 0 51.470 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 51.470 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K 51.470 * [taylor]: Taking taylor expansion of 2 in K 51.470 * [backup-simplify]: Simplify 2 into 2 51.470 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K 51.470 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 51.470 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 51.470 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 51.470 * [taylor]: Taking taylor expansion of -1/2 in K 51.470 * [backup-simplify]: Simplify -1/2 into -1/2 51.470 * [taylor]: Taking taylor expansion of K in K 51.470 * [backup-simplify]: Simplify 0 into 0 51.470 * [backup-simplify]: Simplify 1 into 1 51.471 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 51.471 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.471 * [taylor]: Taking taylor expansion of J in K 51.471 * [backup-simplify]: Simplify J into J 51.471 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 51.471 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 51.471 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 51.471 * [taylor]: Taking taylor expansion of 1 in K 51.471 * [backup-simplify]: Simplify 1 into 1 51.471 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 51.471 * [taylor]: Taking taylor expansion of 1/4 in K 51.471 * [backup-simplify]: Simplify 1/4 into 1/4 51.471 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 51.471 * [taylor]: Taking taylor expansion of (pow J 2) in K 51.471 * [taylor]: Taking taylor expansion of J in K 51.471 * [backup-simplify]: Simplify J into J 51.471 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 51.471 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 51.471 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 51.471 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 51.471 * [taylor]: Taking taylor expansion of -1/2 in K 51.471 * [backup-simplify]: Simplify -1/2 into -1/2 51.471 * [taylor]: Taking taylor expansion of K in K 51.471 * [backup-simplify]: Simplify 0 into 0 51.471 * [backup-simplify]: Simplify 1 into 1 51.472 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 51.472 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.472 * [taylor]: Taking taylor expansion of (pow U 2) in K 51.472 * [taylor]: Taking taylor expansion of U in K 51.472 * [backup-simplify]: Simplify U into U 51.472 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.472 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 51.472 * [backup-simplify]: Simplify (* U U) into (pow U 2) 51.473 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 51.473 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 51.473 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 51.473 * [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))))) 51.474 * [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)))))) 51.474 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 51.474 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 51.474 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 51.474 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 51.475 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 51.476 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 51.476 * [backup-simplify]: Simplify (+ 0 0) into 0 51.477 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 51.477 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 51.477 * [taylor]: Taking taylor expansion of 2 in U 51.477 * [backup-simplify]: Simplify 2 into 2 51.477 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 51.477 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 51.477 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 51.477 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 51.477 * [taylor]: Taking taylor expansion of -1/2 in U 51.477 * [backup-simplify]: Simplify -1/2 into -1/2 51.477 * [taylor]: Taking taylor expansion of K in U 51.477 * [backup-simplify]: Simplify K into K 51.477 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 51.477 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.477 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 51.477 * [taylor]: Taking taylor expansion of J in U 51.477 * [backup-simplify]: Simplify J into J 51.477 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 51.477 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 51.478 * [backup-simplify]: Simplify (- 0) into 0 51.478 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 51.478 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 51.478 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 51.478 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 51.478 * [taylor]: Taking taylor expansion of 1 in U 51.478 * [backup-simplify]: Simplify 1 into 1 51.478 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 51.478 * [taylor]: Taking taylor expansion of 1/4 in U 51.478 * [backup-simplify]: Simplify 1/4 into 1/4 51.478 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 51.478 * [taylor]: Taking taylor expansion of (pow J 2) in U 51.478 * [taylor]: Taking taylor expansion of J in U 51.478 * [backup-simplify]: Simplify J into J 51.478 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 51.478 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 51.478 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 51.478 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 51.479 * [taylor]: Taking taylor expansion of -1/2 in U 51.479 * [backup-simplify]: Simplify -1/2 into -1/2 51.479 * [taylor]: Taking taylor expansion of K in U 51.479 * [backup-simplify]: Simplify K into K 51.479 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 51.479 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.479 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 51.479 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 51.479 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 51.479 * [backup-simplify]: Simplify (- 0) into 0 51.479 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 51.479 * [taylor]: Taking taylor expansion of (pow U 2) in U 51.480 * [taylor]: Taking taylor expansion of U in U 51.480 * [backup-simplify]: Simplify 0 into 0 51.480 * [backup-simplify]: Simplify 1 into 1 51.480 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.480 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 51.480 * [backup-simplify]: Simplify (* 1 1) into 1 51.480 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 51.480 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 51.481 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 51.481 * [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))) 51.481 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 51.481 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 51.482 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.482 * [backup-simplify]: Simplify (+ 0) into 0 51.483 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 51.483 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 51.484 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.484 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 51.484 * [backup-simplify]: Simplify (- 0) into 0 51.485 * [backup-simplify]: Simplify (+ 0 0) into 0 51.485 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 51.485 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 51.485 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 51.486 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 51.486 * [backup-simplify]: Simplify (+ 0 0) into 0 51.486 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 51.486 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 51.486 * [taylor]: Taking taylor expansion of 2 in U 51.486 * [backup-simplify]: Simplify 2 into 2 51.486 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 51.486 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 51.486 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 51.486 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 51.486 * [taylor]: Taking taylor expansion of -1/2 in U 51.486 * [backup-simplify]: Simplify -1/2 into -1/2 51.486 * [taylor]: Taking taylor expansion of K in U 51.486 * [backup-simplify]: Simplify K into K 51.486 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 51.486 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.486 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 51.486 * [taylor]: Taking taylor expansion of J in U 51.486 * [backup-simplify]: Simplify J into J 51.486 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 51.486 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 51.487 * [backup-simplify]: Simplify (- 0) into 0 51.487 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 51.487 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 51.487 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 51.487 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 51.487 * [taylor]: Taking taylor expansion of 1 in U 51.487 * [backup-simplify]: Simplify 1 into 1 51.487 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 51.487 * [taylor]: Taking taylor expansion of 1/4 in U 51.487 * [backup-simplify]: Simplify 1/4 into 1/4 51.487 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 51.487 * [taylor]: Taking taylor expansion of (pow J 2) in U 51.487 * [taylor]: Taking taylor expansion of J in U 51.487 * [backup-simplify]: Simplify J into J 51.487 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 51.487 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 51.487 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 51.487 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 51.487 * [taylor]: Taking taylor expansion of -1/2 in U 51.487 * [backup-simplify]: Simplify -1/2 into -1/2 51.487 * [taylor]: Taking taylor expansion of K in U 51.487 * [backup-simplify]: Simplify K into K 51.487 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 51.487 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.487 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 51.487 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 51.487 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 51.488 * [backup-simplify]: Simplify (- 0) into 0 51.488 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 51.488 * [taylor]: Taking taylor expansion of (pow U 2) in U 51.488 * [taylor]: Taking taylor expansion of U in U 51.488 * [backup-simplify]: Simplify 0 into 0 51.488 * [backup-simplify]: Simplify 1 into 1 51.488 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.488 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 51.488 * [backup-simplify]: Simplify (* 1 1) into 1 51.488 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 51.488 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 51.488 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 51.489 * [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))) 51.489 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 51.489 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 51.489 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.489 * [backup-simplify]: Simplify (+ 0) into 0 51.490 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 51.490 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 51.490 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.491 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 51.491 * [backup-simplify]: Simplify (- 0) into 0 51.491 * [backup-simplify]: Simplify (+ 0 0) into 0 51.491 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 51.492 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 51.492 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 51.492 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 51.493 * [backup-simplify]: Simplify (+ 0 0) into 0 51.493 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 51.493 * [backup-simplify]: Simplify (* (/ (cos (/ -1/2 K)) J) (* 1/2 (/ J (cos (/ -1/2 K))))) into 1/2 51.493 * [backup-simplify]: Simplify (* 2 1/2) into 1 51.493 * [taylor]: Taking taylor expansion of 1 in K 51.493 * [backup-simplify]: Simplify 1 into 1 51.493 * [taylor]: Taking taylor expansion of 1 in J 51.493 * [backup-simplify]: Simplify 1 into 1 51.494 * [backup-simplify]: Simplify (+ 0) into 0 51.494 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 51.494 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 51.494 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.495 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 51.495 * [backup-simplify]: Simplify (- 0) into 0 51.495 * [backup-simplify]: Simplify (+ 0 0) into 0 51.495 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0 51.495 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 51.496 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0 51.496 * [taylor]: Taking taylor expansion of 0 in K 51.496 * [backup-simplify]: Simplify 0 into 0 51.496 * [taylor]: Taking taylor expansion of 0 in J 51.496 * [backup-simplify]: Simplify 0 into 0 51.496 * [taylor]: Taking taylor expansion of 0 in J 51.496 * [backup-simplify]: Simplify 0 into 0 51.496 * [backup-simplify]: Simplify 1 into 1 51.497 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 51.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 51.498 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 51.498 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 51.498 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 51.499 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 51.499 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 51.499 * [backup-simplify]: Simplify (- 0) into 0 51.499 * [backup-simplify]: Simplify (+ 0 0) into 0 51.500 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 51.500 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 51.501 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 51.501 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 51.501 * [backup-simplify]: Simplify (+ 1 0) into 1 51.502 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 51.502 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 51.503 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 51.503 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 51.503 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 51.504 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 51.504 * [backup-simplify]: Simplify (- 0) into 0 51.504 * [backup-simplify]: Simplify (+ 0 0) into 0 51.504 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 51.505 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 51.506 * [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))) 51.506 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in K 51.506 * [taylor]: Taking taylor expansion of 2 in K 51.506 * [backup-simplify]: Simplify 2 into 2 51.506 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in K 51.506 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 51.506 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 51.506 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 51.506 * [taylor]: Taking taylor expansion of -1/2 in K 51.506 * [backup-simplify]: Simplify -1/2 into -1/2 51.506 * [taylor]: Taking taylor expansion of K in K 51.506 * [backup-simplify]: Simplify 0 into 0 51.506 * [backup-simplify]: Simplify 1 into 1 51.506 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 51.506 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.506 * [taylor]: Taking taylor expansion of (pow J 2) in K 51.506 * [taylor]: Taking taylor expansion of J in K 51.506 * [backup-simplify]: Simplify J into J 51.506 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 51.506 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.507 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 51.507 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 51.507 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J 51.507 * [taylor]: Taking taylor expansion of 2 in J 51.507 * [backup-simplify]: Simplify 2 into 2 51.507 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J 51.507 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 51.507 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 51.507 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 51.507 * [taylor]: Taking taylor expansion of -1/2 in J 51.507 * [backup-simplify]: Simplify -1/2 into -1/2 51.507 * [taylor]: Taking taylor expansion of K in J 51.507 * [backup-simplify]: Simplify K into K 51.507 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 51.507 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.507 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 51.507 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 51.507 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 51.507 * [backup-simplify]: Simplify (- 0) into 0 51.507 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 51.507 * [taylor]: Taking taylor expansion of (pow J 2) in J 51.507 * [taylor]: Taking taylor expansion of J in J 51.507 * [backup-simplify]: Simplify 0 into 0 51.508 * [backup-simplify]: Simplify 1 into 1 51.508 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 51.508 * [backup-simplify]: Simplify (* 1 1) into 1 51.508 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 51.508 * [backup-simplify]: Simplify (+ 0) into 0 51.509 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 51.509 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 51.509 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.509 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 51.510 * [backup-simplify]: Simplify (- 0) into 0 51.510 * [backup-simplify]: Simplify (+ 0 0) into 0 51.510 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 51.510 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.511 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 51.511 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 51.511 * [backup-simplify]: Simplify 0 into 0 51.511 * [taylor]: Taking taylor expansion of 0 in J 51.511 * [backup-simplify]: Simplify 0 into 0 51.511 * [taylor]: Taking taylor expansion of 0 in J 51.512 * [backup-simplify]: Simplify 0 into 0 51.512 * [backup-simplify]: Simplify 0 into 0 51.512 * [backup-simplify]: Simplify 0 into 0 51.512 * [backup-simplify]: Simplify 0 into 0 51.512 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 51.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 51.513 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 51.514 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 51.514 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 51.515 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 51.515 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 51.515 * [backup-simplify]: Simplify (- 0) into 0 51.516 * [backup-simplify]: Simplify (+ 0 0) into 0 51.517 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 51.517 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 51.518 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 51.519 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 51.520 * [backup-simplify]: Simplify (+ 0 0) into 0 51.520 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 51.521 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 51.522 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 51.522 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 51.524 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 51.524 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 51.525 * [backup-simplify]: Simplify (- 0) into 0 51.525 * [backup-simplify]: Simplify (+ 0 0) into 0 51.526 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 51.526 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (+ (* 0 (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0 51.527 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 51.528 * [taylor]: Taking taylor expansion of 0 in K 51.528 * [backup-simplify]: Simplify 0 into 0 51.528 * [taylor]: Taking taylor expansion of 0 in J 51.528 * [backup-simplify]: Simplify 0 into 0 51.528 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 51.528 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 51.528 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 51.529 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) into 0 51.529 * [taylor]: Taking taylor expansion of 0 in J 51.529 * [backup-simplify]: Simplify 0 into 0 51.529 * [taylor]: Taking taylor expansion of 0 in J 51.529 * [backup-simplify]: Simplify 0 into 0 51.529 * [taylor]: Taking taylor expansion of 0 in J 51.529 * [backup-simplify]: Simplify 0 into 0 51.530 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 51.531 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 51.531 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 51.532 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 51.532 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 51.533 * [backup-simplify]: Simplify (- 0) into 0 51.533 * [backup-simplify]: Simplify (+ 0 0) into 0 51.534 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 51.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 51.536 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.537 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0 51.537 * [backup-simplify]: Simplify 0 into 0 51.537 * [backup-simplify]: Simplify 0 into 0 51.537 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U) 51.537 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1 1) 51.538 * [backup-simplify]: Simplify (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 51.538 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in (U K J) around 0 51.538 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 51.538 * [taylor]: Taking taylor expansion of 1/4 in J 51.538 * [backup-simplify]: Simplify 1/4 into 1/4 51.538 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 51.538 * [taylor]: Taking taylor expansion of (pow U 2) in J 51.538 * [taylor]: Taking taylor expansion of U in J 51.538 * [backup-simplify]: Simplify U into U 51.538 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 51.538 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 51.538 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 51.538 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 51.538 * [taylor]: Taking taylor expansion of 1/2 in J 51.538 * [backup-simplify]: Simplify 1/2 into 1/2 51.538 * [taylor]: Taking taylor expansion of K in J 51.538 * [backup-simplify]: Simplify K into K 51.538 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 51.538 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 51.538 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 51.538 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 51.539 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 51.539 * [backup-simplify]: Simplify (- 0) into 0 51.539 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 51.539 * [taylor]: Taking taylor expansion of (pow J 2) in J 51.539 * [taylor]: Taking taylor expansion of J in J 51.539 * [backup-simplify]: Simplify 0 into 0 51.539 * [backup-simplify]: Simplify 1 into 1 51.539 * [backup-simplify]: Simplify (* U U) into (pow U 2) 51.539 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 51.540 * [backup-simplify]: Simplify (* 1 1) into 1 51.540 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 51.540 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 51.540 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 51.540 * [taylor]: Taking taylor expansion of 1/4 in K 51.540 * [backup-simplify]: Simplify 1/4 into 1/4 51.540 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 51.540 * [taylor]: Taking taylor expansion of (pow U 2) in K 51.540 * [taylor]: Taking taylor expansion of U in K 51.540 * [backup-simplify]: Simplify U into U 51.540 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 51.540 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 51.540 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 51.540 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 51.540 * [taylor]: Taking taylor expansion of 1/2 in K 51.540 * [backup-simplify]: Simplify 1/2 into 1/2 51.540 * [taylor]: Taking taylor expansion of K in K 51.540 * [backup-simplify]: Simplify 0 into 0 51.540 * [backup-simplify]: Simplify 1 into 1 51.541 * [backup-simplify]: Simplify (* 1/2 0) into 0 51.542 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 51.542 * [taylor]: Taking taylor expansion of (pow J 2) in K 51.542 * [taylor]: Taking taylor expansion of J in K 51.542 * [backup-simplify]: Simplify J into J 51.542 * [backup-simplify]: Simplify (* U U) into (pow U 2) 51.542 * [backup-simplify]: Simplify (* 1 1) into 1 51.542 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.542 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 51.542 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 51.542 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 51.542 * [taylor]: Taking taylor expansion of 1/4 in U 51.542 * [backup-simplify]: Simplify 1/4 into 1/4 51.542 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 51.543 * [taylor]: Taking taylor expansion of (pow U 2) in U 51.543 * [taylor]: Taking taylor expansion of U in U 51.543 * [backup-simplify]: Simplify 0 into 0 51.543 * [backup-simplify]: Simplify 1 into 1 51.543 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 51.543 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 51.543 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 51.543 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 51.543 * [taylor]: Taking taylor expansion of 1/2 in U 51.543 * [backup-simplify]: Simplify 1/2 into 1/2 51.543 * [taylor]: Taking taylor expansion of K in U 51.543 * [backup-simplify]: Simplify K into K 51.543 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 51.543 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 51.543 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 51.543 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 51.543 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 51.544 * [backup-simplify]: Simplify (- 0) into 0 51.544 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 51.544 * [taylor]: Taking taylor expansion of (pow J 2) in U 51.544 * [taylor]: Taking taylor expansion of J in U 51.544 * [backup-simplify]: Simplify J into J 51.544 * [backup-simplify]: Simplify (* 1 1) into 1 51.544 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 51.544 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.545 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 51.545 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 51.545 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 51.545 * [taylor]: Taking taylor expansion of 1/4 in U 51.545 * [backup-simplify]: Simplify 1/4 into 1/4 51.545 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 51.545 * [taylor]: Taking taylor expansion of (pow U 2) in U 51.545 * [taylor]: Taking taylor expansion of U in U 51.545 * [backup-simplify]: Simplify 0 into 0 51.545 * [backup-simplify]: Simplify 1 into 1 51.545 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 51.545 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 51.545 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 51.545 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 51.545 * [taylor]: Taking taylor expansion of 1/2 in U 51.545 * [backup-simplify]: Simplify 1/2 into 1/2 51.545 * [taylor]: Taking taylor expansion of K in U 51.545 * [backup-simplify]: Simplify K into K 51.545 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 51.545 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 51.545 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 51.546 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 51.546 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 51.546 * [backup-simplify]: Simplify (- 0) into 0 51.546 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 51.546 * [taylor]: Taking taylor expansion of (pow J 2) in U 51.546 * [taylor]: Taking taylor expansion of J in U 51.546 * [backup-simplify]: Simplify J into J 51.547 * [backup-simplify]: Simplify (* 1 1) into 1 51.547 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 51.547 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.547 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 51.547 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 51.548 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 51.548 * [taylor]: Taking taylor expansion of (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 51.548 * [taylor]: Taking taylor expansion of 1/4 in K 51.548 * [backup-simplify]: Simplify 1/4 into 1/4 51.548 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 51.548 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 51.548 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 51.548 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 51.548 * [taylor]: Taking taylor expansion of 1/2 in K 51.548 * [backup-simplify]: Simplify 1/2 into 1/2 51.548 * [taylor]: Taking taylor expansion of K in K 51.548 * [backup-simplify]: Simplify 0 into 0 51.548 * [backup-simplify]: Simplify 1 into 1 51.548 * [backup-simplify]: Simplify (* 1/2 0) into 0 51.549 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 51.549 * [taylor]: Taking taylor expansion of (pow J 2) in K 51.549 * [taylor]: Taking taylor expansion of J in K 51.549 * [backup-simplify]: Simplify J into J 51.549 * [backup-simplify]: Simplify (* 1 1) into 1 51.549 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.549 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 51.549 * [backup-simplify]: Simplify (/ 1/4 (pow J 2)) into (/ 1/4 (pow J 2)) 51.549 * [taylor]: Taking taylor expansion of (/ 1/4 (pow J 2)) in J 51.549 * [taylor]: Taking taylor expansion of 1/4 in J 51.549 * [backup-simplify]: Simplify 1/4 into 1/4 51.549 * [taylor]: Taking taylor expansion of (pow J 2) in J 51.549 * [taylor]: Taking taylor expansion of J in J 51.549 * [backup-simplify]: Simplify 0 into 0 51.549 * [backup-simplify]: Simplify 1 into 1 51.549 * [backup-simplify]: Simplify (* 1 1) into 1 51.550 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 51.550 * [backup-simplify]: Simplify 1/4 into 1/4 51.550 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.550 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 51.550 * [backup-simplify]: Simplify (+ 0) into 0 51.551 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 51.551 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 51.551 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.552 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 51.552 * [backup-simplify]: Simplify (- 0) into 0 51.552 * [backup-simplify]: Simplify (+ 0 0) into 0 51.552 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 51.552 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 51.553 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 51.553 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 51.553 * [taylor]: Taking taylor expansion of 0 in K 51.553 * [backup-simplify]: Simplify 0 into 0 51.553 * [taylor]: Taking taylor expansion of 0 in J 51.553 * [backup-simplify]: Simplify 0 into 0 51.553 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 51.553 * [backup-simplify]: Simplify (+ 0) into 0 51.554 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.554 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 51.554 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/4 (pow J 2)) (/ 0 (pow J 2))))) into 0 51.554 * [taylor]: Taking taylor expansion of 0 in J 51.554 * [backup-simplify]: Simplify 0 into 0 51.555 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.555 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 51.555 * [backup-simplify]: Simplify 0 into 0 51.556 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 51.556 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 51.557 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 51.557 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 51.558 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 51.558 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 51.558 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 51.559 * [backup-simplify]: Simplify (- 0) into 0 51.559 * [backup-simplify]: Simplify (+ 0 0) into 0 51.559 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 51.559 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0 51.560 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 51.560 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 51.560 * [taylor]: Taking taylor expansion of 0 in K 51.560 * [backup-simplify]: Simplify 0 into 0 51.560 * [taylor]: Taking taylor expansion of 0 in J 51.560 * [backup-simplify]: Simplify 0 into 0 51.561 * [taylor]: Taking taylor expansion of 0 in J 51.561 * [backup-simplify]: Simplify 0 into 0 51.561 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 51.561 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 51.562 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (* -1/8 1))) into -1/4 51.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/4 (pow J 2)))) into (- (* 1/4 (pow J 2))) 51.563 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/4 (pow J 2)) (/ (- (* 1/4 (pow J 2))) (pow J 2))) (* 0 (/ 0 (pow J 2))))) into (* 1/16 (/ 1 (pow J 2))) 51.563 * [taylor]: Taking taylor expansion of (* 1/16 (/ 1 (pow J 2))) in J 51.563 * [taylor]: Taking taylor expansion of 1/16 in J 51.563 * [backup-simplify]: Simplify 1/16 into 1/16 51.563 * [taylor]: Taking taylor expansion of (/ 1 (pow J 2)) in J 51.563 * [taylor]: Taking taylor expansion of (pow J 2) in J 51.563 * [taylor]: Taking taylor expansion of J in J 51.563 * [backup-simplify]: Simplify 0 into 0 51.563 * [backup-simplify]: Simplify 1 into 1 51.563 * [backup-simplify]: Simplify (* 1 1) into 1 51.563 * [backup-simplify]: Simplify (/ 1 1) into 1 51.564 * [backup-simplify]: Simplify (* 1/16 1) into 1/16 51.564 * [backup-simplify]: Simplify 1/16 into 1/16 51.564 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 51.565 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.565 * [backup-simplify]: Simplify 0 into 0 51.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 51.566 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 51.566 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 51.567 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 51.567 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 51.569 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 51.570 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 51.570 * [backup-simplify]: Simplify (- 0) into 0 51.570 * [backup-simplify]: Simplify (+ 0 0) into 0 51.571 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0 51.572 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2))))) into 0 51.573 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 51.574 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) into 0 51.574 * [taylor]: Taking taylor expansion of 0 in K 51.574 * [backup-simplify]: Simplify 0 into 0 51.574 * [taylor]: Taking taylor expansion of 0 in J 51.574 * [backup-simplify]: Simplify 0 into 0 51.575 * [taylor]: Taking taylor expansion of 0 in J 51.575 * [backup-simplify]: Simplify 0 into 0 51.575 * [taylor]: Taking taylor expansion of 0 in J 51.575 * [backup-simplify]: Simplify 0 into 0 51.575 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 51.581 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 51.583 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 51.584 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/8) (+ (* -1/8 0) (* 0 1)))) into 0 51.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (* 0 (pow J 2))))) into 0 51.586 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/4 (pow J 2)) (/ 0 (pow J 2))) (* 0 (/ (- (* 1/4 (pow J 2))) (pow J 2))) (* (* 1/16 (/ 1 (pow J 2))) (/ 0 (pow J 2))))) into 0 51.586 * [taylor]: Taking taylor expansion of 0 in J 51.586 * [backup-simplify]: Simplify 0 into 0 51.587 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 51.588 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 1)) into 0 51.588 * [backup-simplify]: Simplify 0 into 0 51.588 * [backup-simplify]: Simplify 0 into 0 51.588 * [backup-simplify]: Simplify 0 into 0 51.589 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 51.590 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.590 * [backup-simplify]: Simplify 0 into 0 51.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 51.593 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 J))))) into 0 51.595 * [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 51.596 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 51.598 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0 51.600 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 51.600 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 51.601 * [backup-simplify]: Simplify (- 0) into 0 51.601 * [backup-simplify]: Simplify (+ 0 0) into 0 51.602 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))))) into 0 51.603 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2)))))) into 0 51.605 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 51.606 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))))) into 0 51.606 * [taylor]: Taking taylor expansion of 0 in K 51.606 * [backup-simplify]: Simplify 0 into 0 51.606 * [taylor]: Taking taylor expansion of 0 in J 51.606 * [backup-simplify]: Simplify 0 into 0 51.606 * [taylor]: Taking taylor expansion of 0 in J 51.606 * [backup-simplify]: Simplify 0 into 0 51.606 * [taylor]: Taking taylor expansion of 0 in J 51.606 * [backup-simplify]: Simplify 0 into 0 51.607 * [taylor]: Taking taylor expansion of 0 in J 51.607 * [backup-simplify]: Simplify 0 into 0 51.608 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 J))))) into 0 51.609 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 51.612 * [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 51.614 * [backup-simplify]: Simplify (+ (* 1 1/384) (+ (* 0 0) (+ (* -1/8 -1/8) (+ (* 0 0) (* 1/384 1))))) into 1/48 51.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (+ (* 0 0) (* 1/48 (pow J 2)))))) into (* 1/48 (pow J 2)) 51.616 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/4 (pow J 2)) (/ (* 1/48 (pow J 2)) (pow J 2))) (* 0 (/ 0 (pow J 2))) (* (* 1/16 (/ 1 (pow J 2))) (/ (- (* 1/4 (pow J 2))) (pow J 2))) (* 0 (/ 0 (pow J 2))))) into (* 1/96 (/ 1 (pow J 2))) 51.616 * [taylor]: Taking taylor expansion of (* 1/96 (/ 1 (pow J 2))) in J 51.616 * [taylor]: Taking taylor expansion of 1/96 in J 51.616 * [backup-simplify]: Simplify 1/96 into 1/96 51.616 * [taylor]: Taking taylor expansion of (/ 1 (pow J 2)) in J 51.616 * [taylor]: Taking taylor expansion of (pow J 2) in J 51.616 * [taylor]: Taking taylor expansion of J in J 51.616 * [backup-simplify]: Simplify 0 into 0 51.616 * [backup-simplify]: Simplify 1 into 1 51.617 * [backup-simplify]: Simplify (* 1 1) into 1 51.617 * [backup-simplify]: Simplify (/ 1 1) into 1 51.617 * [backup-simplify]: Simplify (* 1/96 1) into 1/96 51.617 * [backup-simplify]: Simplify 1/96 into 1/96 51.618 * [backup-simplify]: Simplify (+ (* 1/96 (pow (* (/ 1 J) (* (pow K 2) U)) 2)) (+ (* 1/16 (pow (* (/ 1 J) (* K U)) 2)) (* 1/4 (pow (* (/ 1 J) (* 1 U)) 2)))) into (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (* (pow K 4) (pow U 2)) (pow J 2))))) 51.619 * [backup-simplify]: Simplify (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 51.619 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in (U K J) around 0 51.619 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 51.619 * [taylor]: Taking taylor expansion of 1/4 in J 51.619 * [backup-simplify]: Simplify 1/4 into 1/4 51.619 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 51.619 * [taylor]: Taking taylor expansion of (pow J 2) in J 51.619 * [taylor]: Taking taylor expansion of J in J 51.619 * [backup-simplify]: Simplify 0 into 0 51.619 * [backup-simplify]: Simplify 1 into 1 51.619 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 51.619 * [taylor]: Taking taylor expansion of (pow U 2) in J 51.619 * [taylor]: Taking taylor expansion of U in J 51.619 * [backup-simplify]: Simplify U into U 51.619 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 51.619 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 51.619 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 51.619 * [taylor]: Taking taylor expansion of 1/2 in J 51.619 * [backup-simplify]: Simplify 1/2 into 1/2 51.619 * [taylor]: Taking taylor expansion of K in J 51.619 * [backup-simplify]: Simplify K into K 51.619 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 51.620 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.620 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 51.620 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 51.620 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 51.620 * [backup-simplify]: Simplify (- 0) into 0 51.620 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 51.621 * [backup-simplify]: Simplify (* 1 1) into 1 51.621 * [backup-simplify]: Simplify (* U U) into (pow U 2) 51.621 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 51.621 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 51.621 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 51.621 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 51.621 * [taylor]: Taking taylor expansion of 1/4 in K 51.621 * [backup-simplify]: Simplify 1/4 into 1/4 51.621 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 51.621 * [taylor]: Taking taylor expansion of (pow J 2) in K 51.621 * [taylor]: Taking taylor expansion of J in K 51.621 * [backup-simplify]: Simplify J into J 51.621 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 51.621 * [taylor]: Taking taylor expansion of (pow U 2) in K 51.621 * [taylor]: Taking taylor expansion of U in K 51.622 * [backup-simplify]: Simplify U into U 51.622 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 51.622 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 51.622 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 51.622 * [taylor]: Taking taylor expansion of 1/2 in K 51.622 * [backup-simplify]: Simplify 1/2 into 1/2 51.622 * [taylor]: Taking taylor expansion of K in K 51.622 * [backup-simplify]: Simplify 0 into 0 51.622 * [backup-simplify]: Simplify 1 into 1 51.622 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 51.622 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.622 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.622 * [backup-simplify]: Simplify (* U U) into (pow U 2) 51.622 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 51.623 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 51.623 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 51.623 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 51.623 * [taylor]: Taking taylor expansion of 1/4 in U 51.623 * [backup-simplify]: Simplify 1/4 into 1/4 51.623 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 51.623 * [taylor]: Taking taylor expansion of (pow J 2) in U 51.623 * [taylor]: Taking taylor expansion of J in U 51.623 * [backup-simplify]: Simplify J into J 51.623 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 51.623 * [taylor]: Taking taylor expansion of (pow U 2) in U 51.623 * [taylor]: Taking taylor expansion of U in U 51.623 * [backup-simplify]: Simplify 0 into 0 51.623 * [backup-simplify]: Simplify 1 into 1 51.623 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 51.623 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 51.623 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 51.623 * [taylor]: Taking taylor expansion of 1/2 in U 51.623 * [backup-simplify]: Simplify 1/2 into 1/2 51.623 * [taylor]: Taking taylor expansion of K in U 51.623 * [backup-simplify]: Simplify K into K 51.623 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 51.623 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.624 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 51.624 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 51.624 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 51.624 * [backup-simplify]: Simplify (- 0) into 0 51.624 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 51.624 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.625 * [backup-simplify]: Simplify (* 1 1) into 1 51.625 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 51.625 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 51.625 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 51.625 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 51.625 * [taylor]: Taking taylor expansion of 1/4 in U 51.625 * [backup-simplify]: Simplify 1/4 into 1/4 51.625 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 51.625 * [taylor]: Taking taylor expansion of (pow J 2) in U 51.625 * [taylor]: Taking taylor expansion of J in U 51.625 * [backup-simplify]: Simplify J into J 51.625 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 51.625 * [taylor]: Taking taylor expansion of (pow U 2) in U 51.625 * [taylor]: Taking taylor expansion of U in U 51.625 * [backup-simplify]: Simplify 0 into 0 51.625 * [backup-simplify]: Simplify 1 into 1 51.625 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 51.625 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 51.625 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 51.626 * [taylor]: Taking taylor expansion of 1/2 in U 51.626 * [backup-simplify]: Simplify 1/2 into 1/2 51.626 * [taylor]: Taking taylor expansion of K in U 51.626 * [backup-simplify]: Simplify K into K 51.626 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 51.626 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.626 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 51.626 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 51.626 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 51.626 * [backup-simplify]: Simplify (- 0) into 0 51.626 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 51.627 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.627 * [backup-simplify]: Simplify (* 1 1) into 1 51.627 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 51.627 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 51.627 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 51.628 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 51.628 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in K 51.628 * [taylor]: Taking taylor expansion of 1/4 in K 51.628 * [backup-simplify]: Simplify 1/4 into 1/4 51.628 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in K 51.628 * [taylor]: Taking taylor expansion of (pow J 2) in K 51.628 * [taylor]: Taking taylor expansion of J in K 51.628 * [backup-simplify]: Simplify J into J 51.628 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 51.628 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 51.628 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 51.628 * [taylor]: Taking taylor expansion of 1/2 in K 51.628 * [backup-simplify]: Simplify 1/2 into 1/2 51.628 * [taylor]: Taking taylor expansion of K in K 51.628 * [backup-simplify]: Simplify 0 into 0 51.628 * [backup-simplify]: Simplify 1 into 1 51.628 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 51.628 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.629 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.629 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 51.629 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 51.629 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 51.629 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 51.629 * [taylor]: Taking taylor expansion of 1/4 in J 51.629 * [backup-simplify]: Simplify 1/4 into 1/4 51.629 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 51.629 * [taylor]: Taking taylor expansion of (pow J 2) in J 51.629 * [taylor]: Taking taylor expansion of J in J 51.629 * [backup-simplify]: Simplify 0 into 0 51.629 * [backup-simplify]: Simplify 1 into 1 51.629 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 51.629 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 51.629 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 51.629 * [taylor]: Taking taylor expansion of 1/2 in J 51.629 * [backup-simplify]: Simplify 1/2 into 1/2 51.629 * [taylor]: Taking taylor expansion of K in J 51.629 * [backup-simplify]: Simplify K into K 51.629 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 51.630 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.630 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 51.630 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 51.630 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 51.630 * [backup-simplify]: Simplify (- 0) into 0 51.630 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 51.631 * [backup-simplify]: Simplify (* 1 1) into 1 51.631 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 51.631 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 51.631 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 51.631 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 51.631 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 51.632 * [backup-simplify]: Simplify (+ 0) into 0 51.632 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 51.632 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 51.633 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.634 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 51.634 * [backup-simplify]: Simplify (- 0) into 0 51.634 * [backup-simplify]: Simplify (+ 0 0) into 0 51.634 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 51.635 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.636 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 51.636 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 51.636 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 51.637 * [taylor]: Taking taylor expansion of 0 in K 51.637 * [backup-simplify]: Simplify 0 into 0 51.637 * [taylor]: Taking taylor expansion of 0 in J 51.637 * [backup-simplify]: Simplify 0 into 0 51.637 * [backup-simplify]: Simplify 0 into 0 51.637 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 51.637 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 51.637 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 51.638 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 51.638 * [taylor]: Taking taylor expansion of 0 in J 51.638 * [backup-simplify]: Simplify 0 into 0 51.638 * [backup-simplify]: Simplify 0 into 0 51.639 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.639 * [backup-simplify]: Simplify (+ 0) into 0 51.640 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 51.640 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 51.641 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.641 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 51.641 * [backup-simplify]: Simplify (- 0) into 0 51.642 * [backup-simplify]: Simplify (+ 0 0) into 0 51.642 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 51.642 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 51.643 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 51.643 * [backup-simplify]: Simplify 0 into 0 51.644 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 51.644 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 51.645 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 51.645 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 51.646 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 51.647 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 51.647 * [backup-simplify]: Simplify (- 0) into 0 51.647 * [backup-simplify]: Simplify (+ 0 0) into 0 51.648 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 51.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 51.650 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 51.650 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 51.651 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 51.651 * [taylor]: Taking taylor expansion of 0 in K 51.651 * [backup-simplify]: Simplify 0 into 0 51.651 * [taylor]: Taking taylor expansion of 0 in J 51.651 * [backup-simplify]: Simplify 0 into 0 51.651 * [backup-simplify]: Simplify 0 into 0 51.652 * [taylor]: Taking taylor expansion of 0 in J 51.652 * [backup-simplify]: Simplify 0 into 0 51.652 * [backup-simplify]: Simplify 0 into 0 51.652 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 51.653 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 51.653 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 51.654 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 51.654 * [taylor]: Taking taylor expansion of 0 in J 51.654 * [backup-simplify]: Simplify 0 into 0 51.654 * [backup-simplify]: Simplify 0 into 0 51.654 * [backup-simplify]: Simplify (* (/ 1/4 (pow (cos (/ 1/2 (/ 1 K))) 2)) (pow (* (/ 1 J) (* 1 (/ 1 (/ 1 U)))) 2)) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 51.655 * [backup-simplify]: Simplify (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 51.655 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in (U K J) around 0 51.655 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 51.655 * [taylor]: Taking taylor expansion of 1/4 in J 51.655 * [backup-simplify]: Simplify 1/4 into 1/4 51.655 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 51.655 * [taylor]: Taking taylor expansion of (pow J 2) in J 51.655 * [taylor]: Taking taylor expansion of J in J 51.655 * [backup-simplify]: Simplify 0 into 0 51.655 * [backup-simplify]: Simplify 1 into 1 51.655 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 51.655 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 51.655 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 51.655 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 51.655 * [taylor]: Taking taylor expansion of -1/2 in J 51.655 * [backup-simplify]: Simplify -1/2 into -1/2 51.655 * [taylor]: Taking taylor expansion of K in J 51.655 * [backup-simplify]: Simplify K into K 51.656 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 51.656 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.656 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 51.656 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 51.656 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 51.656 * [backup-simplify]: Simplify (- 0) into 0 51.656 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 51.656 * [taylor]: Taking taylor expansion of (pow U 2) in J 51.656 * [taylor]: Taking taylor expansion of U in J 51.656 * [backup-simplify]: Simplify U into U 51.657 * [backup-simplify]: Simplify (* 1 1) into 1 51.657 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 51.657 * [backup-simplify]: Simplify (* U U) into (pow U 2) 51.657 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 51.658 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 51.658 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 51.658 * [taylor]: Taking taylor expansion of 1/4 in K 51.658 * [backup-simplify]: Simplify 1/4 into 1/4 51.658 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 51.658 * [taylor]: Taking taylor expansion of (pow J 2) in K 51.658 * [taylor]: Taking taylor expansion of J in K 51.658 * [backup-simplify]: Simplify J into J 51.658 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 51.658 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 51.658 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 51.658 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 51.658 * [taylor]: Taking taylor expansion of -1/2 in K 51.658 * [backup-simplify]: Simplify -1/2 into -1/2 51.658 * [taylor]: Taking taylor expansion of K in K 51.658 * [backup-simplify]: Simplify 0 into 0 51.658 * [backup-simplify]: Simplify 1 into 1 51.658 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 51.659 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.659 * [taylor]: Taking taylor expansion of (pow U 2) in K 51.659 * [taylor]: Taking taylor expansion of U in K 51.659 * [backup-simplify]: Simplify U into U 51.659 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.659 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 51.659 * [backup-simplify]: Simplify (* U U) into (pow U 2) 51.659 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 51.659 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 51.659 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 51.659 * [taylor]: Taking taylor expansion of 1/4 in U 51.659 * [backup-simplify]: Simplify 1/4 into 1/4 51.659 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 51.659 * [taylor]: Taking taylor expansion of (pow J 2) in U 51.659 * [taylor]: Taking taylor expansion of J in U 51.659 * [backup-simplify]: Simplify J into J 51.659 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 51.660 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 51.660 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 51.660 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 51.660 * [taylor]: Taking taylor expansion of -1/2 in U 51.660 * [backup-simplify]: Simplify -1/2 into -1/2 51.660 * [taylor]: Taking taylor expansion of K in U 51.660 * [backup-simplify]: Simplify K into K 51.660 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 51.660 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.660 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 51.660 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 51.660 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 51.660 * [backup-simplify]: Simplify (- 0) into 0 51.660 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 51.661 * [taylor]: Taking taylor expansion of (pow U 2) in U 51.661 * [taylor]: Taking taylor expansion of U in U 51.661 * [backup-simplify]: Simplify 0 into 0 51.661 * [backup-simplify]: Simplify 1 into 1 51.661 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.661 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 51.661 * [backup-simplify]: Simplify (* 1 1) into 1 51.661 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 51.661 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 51.661 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 51.662 * [taylor]: Taking taylor expansion of 1/4 in U 51.662 * [backup-simplify]: Simplify 1/4 into 1/4 51.662 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 51.662 * [taylor]: Taking taylor expansion of (pow J 2) in U 51.662 * [taylor]: Taking taylor expansion of J in U 51.662 * [backup-simplify]: Simplify J into J 51.662 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 51.662 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 51.662 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 51.662 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 51.662 * [taylor]: Taking taylor expansion of -1/2 in U 51.662 * [backup-simplify]: Simplify -1/2 into -1/2 51.662 * [taylor]: Taking taylor expansion of K in U 51.662 * [backup-simplify]: Simplify K into K 51.662 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 51.662 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.662 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 51.662 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 51.662 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 51.663 * [backup-simplify]: Simplify (- 0) into 0 51.663 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 51.663 * [taylor]: Taking taylor expansion of (pow U 2) in U 51.663 * [taylor]: Taking taylor expansion of U in U 51.663 * [backup-simplify]: Simplify 0 into 0 51.663 * [backup-simplify]: Simplify 1 into 1 51.663 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.663 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 51.663 * [backup-simplify]: Simplify (* 1 1) into 1 51.664 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 51.664 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 51.664 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 51.664 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in K 51.664 * [taylor]: Taking taylor expansion of 1/4 in K 51.664 * [backup-simplify]: Simplify 1/4 into 1/4 51.664 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in K 51.664 * [taylor]: Taking taylor expansion of (pow J 2) in K 51.664 * [taylor]: Taking taylor expansion of J in K 51.664 * [backup-simplify]: Simplify J into J 51.664 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 51.664 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 51.664 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 51.664 * [taylor]: Taking taylor expansion of -1/2 in K 51.664 * [backup-simplify]: Simplify -1/2 into -1/2 51.664 * [taylor]: Taking taylor expansion of K in K 51.664 * [backup-simplify]: Simplify 0 into 0 51.664 * [backup-simplify]: Simplify 1 into 1 51.665 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 51.665 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.665 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.665 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 51.665 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 51.665 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 51.665 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 51.666 * [taylor]: Taking taylor expansion of 1/4 in J 51.666 * [backup-simplify]: Simplify 1/4 into 1/4 51.666 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 51.666 * [taylor]: Taking taylor expansion of (pow J 2) in J 51.666 * [taylor]: Taking taylor expansion of J in J 51.666 * [backup-simplify]: Simplify 0 into 0 51.666 * [backup-simplify]: Simplify 1 into 1 51.666 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 51.666 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 51.666 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 51.666 * [taylor]: Taking taylor expansion of -1/2 in J 51.666 * [backup-simplify]: Simplify -1/2 into -1/2 51.666 * [taylor]: Taking taylor expansion of K in J 51.666 * [backup-simplify]: Simplify K into K 51.666 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 51.666 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.666 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 51.666 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 51.666 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 51.667 * [backup-simplify]: Simplify (- 0) into 0 51.667 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 51.667 * [backup-simplify]: Simplify (* 1 1) into 1 51.667 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 51.667 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 51.668 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 51.668 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 51.668 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 51.669 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.669 * [backup-simplify]: Simplify (+ 0) into 0 51.670 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 51.670 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 51.670 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.671 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 51.671 * [backup-simplify]: Simplify (- 0) into 0 51.672 * [backup-simplify]: Simplify (+ 0 0) into 0 51.672 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 51.672 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 51.673 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 51.673 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 51.673 * [taylor]: Taking taylor expansion of 0 in K 51.674 * [backup-simplify]: Simplify 0 into 0 51.674 * [taylor]: Taking taylor expansion of 0 in J 51.674 * [backup-simplify]: Simplify 0 into 0 51.674 * [backup-simplify]: Simplify 0 into 0 51.674 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 51.674 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 51.674 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 51.675 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 51.675 * [taylor]: Taking taylor expansion of 0 in J 51.675 * [backup-simplify]: Simplify 0 into 0 51.675 * [backup-simplify]: Simplify 0 into 0 51.676 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.676 * [backup-simplify]: Simplify (+ 0) into 0 51.677 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 51.677 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 51.678 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.678 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 51.678 * [backup-simplify]: Simplify (- 0) into 0 51.679 * [backup-simplify]: Simplify (+ 0 0) into 0 51.679 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 51.679 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 51.680 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 51.680 * [backup-simplify]: Simplify 0 into 0 51.680 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 51.682 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 51.682 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 51.683 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 51.683 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 51.684 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 51.685 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 51.685 * [backup-simplify]: Simplify (- 0) into 0 51.685 * [backup-simplify]: Simplify (+ 0 0) into 0 51.686 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 51.687 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 51.687 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 51.688 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 51.688 * [taylor]: Taking taylor expansion of 0 in K 51.688 * [backup-simplify]: Simplify 0 into 0 51.688 * [taylor]: Taking taylor expansion of 0 in J 51.688 * [backup-simplify]: Simplify 0 into 0 51.688 * [backup-simplify]: Simplify 0 into 0 51.688 * [taylor]: Taking taylor expansion of 0 in J 51.688 * [backup-simplify]: Simplify 0 into 0 51.688 * [backup-simplify]: Simplify 0 into 0 51.689 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 51.689 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 51.690 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 51.691 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 51.691 * [taylor]: Taking taylor expansion of 0 in J 51.691 * [backup-simplify]: Simplify 0 into 0 51.691 * [backup-simplify]: Simplify 0 into 0 51.691 * [backup-simplify]: Simplify (* (/ 1/4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)) (pow (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U))))) 2)) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 51.691 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 1 2 2 2) 51.692 * [backup-simplify]: Simplify (* (cos (/ K 2)) J) into (* (cos (* 1/2 K)) J) 51.692 * [approximate]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in (K J) around 0 51.692 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 51.692 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 51.692 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 51.692 * [taylor]: Taking taylor expansion of 1/2 in J 51.692 * [backup-simplify]: Simplify 1/2 into 1/2 51.692 * [taylor]: Taking taylor expansion of K in J 51.692 * [backup-simplify]: Simplify K into K 51.692 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 51.692 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 51.692 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 51.692 * [taylor]: Taking taylor expansion of J in J 51.692 * [backup-simplify]: Simplify 0 into 0 51.692 * [backup-simplify]: Simplify 1 into 1 51.692 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 51.692 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 51.692 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 51.692 * [taylor]: Taking taylor expansion of 1/2 in K 51.692 * [backup-simplify]: Simplify 1/2 into 1/2 51.692 * [taylor]: Taking taylor expansion of K in K 51.692 * [backup-simplify]: Simplify 0 into 0 51.692 * [backup-simplify]: Simplify 1 into 1 51.693 * [backup-simplify]: Simplify (* 1/2 0) into 0 51.693 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 51.694 * [taylor]: Taking taylor expansion of J in K 51.694 * [backup-simplify]: Simplify J into J 51.694 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 51.694 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 51.694 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 51.694 * [taylor]: Taking taylor expansion of 1/2 in K 51.694 * [backup-simplify]: Simplify 1/2 into 1/2 51.694 * [taylor]: Taking taylor expansion of K in K 51.694 * [backup-simplify]: Simplify 0 into 0 51.694 * [backup-simplify]: Simplify 1 into 1 51.694 * [backup-simplify]: Simplify (* 1/2 0) into 0 51.695 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 51.695 * [taylor]: Taking taylor expansion of J in K 51.695 * [backup-simplify]: Simplify J into J 51.695 * [backup-simplify]: Simplify (* 1 J) into J 51.695 * [taylor]: Taking taylor expansion of J in J 51.695 * [backup-simplify]: Simplify 0 into 0 51.695 * [backup-simplify]: Simplify 1 into 1 51.695 * [backup-simplify]: Simplify 0 into 0 51.696 * [backup-simplify]: Simplify (+ 0) into 0 51.696 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 51.696 * [taylor]: Taking taylor expansion of 0 in J 51.696 * [backup-simplify]: Simplify 0 into 0 51.696 * [backup-simplify]: Simplify 0 into 0 51.696 * [backup-simplify]: Simplify 1 into 1 51.697 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 51.698 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J)) 51.698 * [taylor]: Taking taylor expansion of (- (* 1/8 J)) in J 51.698 * [taylor]: Taking taylor expansion of (* 1/8 J) in J 51.698 * [taylor]: Taking taylor expansion of 1/8 in J 51.698 * [backup-simplify]: Simplify 1/8 into 1/8 51.698 * [taylor]: Taking taylor expansion of J in J 51.698 * [backup-simplify]: Simplify 0 into 0 51.698 * [backup-simplify]: Simplify 1 into 1 51.699 * [backup-simplify]: Simplify (* 1/8 0) into 0 51.699 * [backup-simplify]: Simplify (- 0) into 0 51.699 * [backup-simplify]: Simplify 0 into 0 51.699 * [backup-simplify]: Simplify 0 into 0 51.699 * [backup-simplify]: Simplify 0 into 0 51.700 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 51.701 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 51.703 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0 51.703 * [taylor]: Taking taylor expansion of 0 in J 51.703 * [backup-simplify]: Simplify 0 into 0 51.703 * [backup-simplify]: Simplify 0 into 0 51.703 * [backup-simplify]: Simplify (+ (* 1/8 1) (* 0 0)) into 1/8 51.704 * [backup-simplify]: Simplify (- 1/8) into -1/8 51.704 * [backup-simplify]: Simplify -1/8 into -1/8 51.704 * [backup-simplify]: Simplify 0 into 0 51.704 * [backup-simplify]: Simplify 0 into 0 51.705 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 51.709 * [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 51.710 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (+ (* 0 0) (* 1/384 J))))) into (* 1/384 J) 51.710 * [taylor]: Taking taylor expansion of (* 1/384 J) in J 51.710 * [taylor]: Taking taylor expansion of 1/384 in J 51.710 * [backup-simplify]: Simplify 1/384 into 1/384 51.710 * [taylor]: Taking taylor expansion of J in J 51.711 * [backup-simplify]: Simplify 0 into 0 51.711 * [backup-simplify]: Simplify 1 into 1 51.711 * [backup-simplify]: Simplify (* 1/384 0) into 0 51.711 * [backup-simplify]: Simplify 0 into 0 51.711 * [backup-simplify]: Simplify 0 into 0 51.712 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 1) (* 0 0))) into 0 51.712 * [backup-simplify]: Simplify (- 0) into 0 51.712 * [backup-simplify]: Simplify 0 into 0 51.713 * [backup-simplify]: Simplify 0 into 0 51.713 * [backup-simplify]: Simplify (+ (* -1/8 (* J (pow K 2))) (* 1 (* J 1))) into (- J (* 1/8 (* (pow K 2) J))) 51.713 * [backup-simplify]: Simplify (* (cos (/ (/ 1 K) 2)) (/ 1 J)) into (/ (cos (/ 1/2 K)) J) 51.713 * [approximate]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in (K J) around 0 51.713 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 51.713 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 51.713 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 51.713 * [taylor]: Taking taylor expansion of 1/2 in J 51.713 * [backup-simplify]: Simplify 1/2 into 1/2 51.713 * [taylor]: Taking taylor expansion of K in J 51.713 * [backup-simplify]: Simplify K into K 51.713 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 51.713 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.713 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 51.713 * [taylor]: Taking taylor expansion of J in J 51.713 * [backup-simplify]: Simplify 0 into 0 51.713 * [backup-simplify]: Simplify 1 into 1 51.714 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 51.714 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 51.714 * [backup-simplify]: Simplify (- 0) into 0 51.714 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 51.714 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 51.714 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 51.714 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 51.714 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 51.714 * [taylor]: Taking taylor expansion of 1/2 in K 51.714 * [backup-simplify]: Simplify 1/2 into 1/2 51.714 * [taylor]: Taking taylor expansion of K in K 51.714 * [backup-simplify]: Simplify 0 into 0 51.715 * [backup-simplify]: Simplify 1 into 1 51.715 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 51.715 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.715 * [taylor]: Taking taylor expansion of J in K 51.715 * [backup-simplify]: Simplify J into J 51.716 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 51.716 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 51.716 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 51.716 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 51.716 * [taylor]: Taking taylor expansion of 1/2 in K 51.716 * [backup-simplify]: Simplify 1/2 into 1/2 51.716 * [taylor]: Taking taylor expansion of K in K 51.716 * [backup-simplify]: Simplify 0 into 0 51.716 * [backup-simplify]: Simplify 1 into 1 51.716 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 51.716 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.716 * [taylor]: Taking taylor expansion of J in K 51.716 * [backup-simplify]: Simplify J into J 51.716 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 51.717 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 51.717 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 51.717 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 51.717 * [taylor]: Taking taylor expansion of 1/2 in J 51.717 * [backup-simplify]: Simplify 1/2 into 1/2 51.717 * [taylor]: Taking taylor expansion of K in J 51.717 * [backup-simplify]: Simplify K into K 51.717 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 51.717 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.717 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 51.717 * [taylor]: Taking taylor expansion of J in J 51.717 * [backup-simplify]: Simplify 0 into 0 51.717 * [backup-simplify]: Simplify 1 into 1 51.717 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 51.717 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 51.718 * [backup-simplify]: Simplify (- 0) into 0 51.718 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 51.718 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 51.718 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.718 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 51.718 * [taylor]: Taking taylor expansion of 0 in J 51.718 * [backup-simplify]: Simplify 0 into 0 51.718 * [backup-simplify]: Simplify (+ 0) into 0 51.719 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 51.719 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 51.720 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.720 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 51.720 * [backup-simplify]: Simplify (- 0) into 0 51.721 * [backup-simplify]: Simplify (+ 0 0) into 0 51.721 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 51.721 * [backup-simplify]: Simplify 0 into 0 51.721 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 51.721 * [taylor]: Taking taylor expansion of 0 in J 51.721 * [backup-simplify]: Simplify 0 into 0 51.721 * [backup-simplify]: Simplify 0 into 0 51.722 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 51.722 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 51.722 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 51.723 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 51.723 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 51.723 * [backup-simplify]: Simplify (- 0) into 0 51.724 * [backup-simplify]: Simplify (+ 0 0) into 0 51.725 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.725 * [backup-simplify]: Simplify 0 into 0 51.725 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 51.725 * [taylor]: Taking taylor expansion of 0 in J 51.725 * [backup-simplify]: Simplify 0 into 0 51.725 * [backup-simplify]: Simplify 0 into 0 51.725 * [backup-simplify]: Simplify 0 into 0 51.725 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 51.726 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 51.726 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 51.727 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 51.731 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 51.731 * [backup-simplify]: Simplify (- 0) into 0 51.732 * [backup-simplify]: Simplify (+ 0 0) into 0 51.733 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.733 * [backup-simplify]: Simplify 0 into 0 51.733 * [backup-simplify]: Simplify (* (cos (/ 1/2 (/ 1 K))) (* (/ 1 (/ 1 J)) 1)) into (* (cos (* 1/2 K)) J) 51.733 * [backup-simplify]: Simplify (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))) into (* -1 (/ (cos (/ -1/2 K)) J)) 51.733 * [approximate]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 K)) J)) in (K J) around 0 51.733 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 K)) J)) in J 51.733 * [taylor]: Taking taylor expansion of -1 in J 51.733 * [backup-simplify]: Simplify -1 into -1 51.733 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 51.733 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 51.733 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 51.733 * [taylor]: Taking taylor expansion of -1/2 in J 51.733 * [backup-simplify]: Simplify -1/2 into -1/2 51.733 * [taylor]: Taking taylor expansion of K in J 51.733 * [backup-simplify]: Simplify K into K 51.733 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 51.733 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.734 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 51.734 * [taylor]: Taking taylor expansion of J in J 51.734 * [backup-simplify]: Simplify 0 into 0 51.734 * [backup-simplify]: Simplify 1 into 1 51.734 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 51.734 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 51.734 * [backup-simplify]: Simplify (- 0) into 0 51.734 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 51.734 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 51.734 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 K)) J)) in K 51.734 * [taylor]: Taking taylor expansion of -1 in K 51.734 * [backup-simplify]: Simplify -1 into -1 51.734 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 51.734 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 51.734 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 51.734 * [taylor]: Taking taylor expansion of -1/2 in K 51.734 * [backup-simplify]: Simplify -1/2 into -1/2 51.734 * [taylor]: Taking taylor expansion of K in K 51.734 * [backup-simplify]: Simplify 0 into 0 51.734 * [backup-simplify]: Simplify 1 into 1 51.734 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 51.735 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.735 * [taylor]: Taking taylor expansion of J in K 51.735 * [backup-simplify]: Simplify J into J 51.735 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 51.735 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 K)) J)) in K 51.735 * [taylor]: Taking taylor expansion of -1 in K 51.735 * [backup-simplify]: Simplify -1 into -1 51.735 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 51.735 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 51.735 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 51.735 * [taylor]: Taking taylor expansion of -1/2 in K 51.735 * [backup-simplify]: Simplify -1/2 into -1/2 51.735 * [taylor]: Taking taylor expansion of K in K 51.735 * [backup-simplify]: Simplify 0 into 0 51.735 * [backup-simplify]: Simplify 1 into 1 51.735 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 51.735 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.735 * [taylor]: Taking taylor expansion of J in K 51.735 * [backup-simplify]: Simplify J into J 51.735 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 51.735 * [backup-simplify]: Simplify (* -1 (/ (cos (/ -1/2 K)) J)) into (* -1 (/ (cos (/ -1/2 K)) J)) 51.735 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 K)) J)) in J 51.735 * [taylor]: Taking taylor expansion of -1 in J 51.735 * [backup-simplify]: Simplify -1 into -1 51.735 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 51.735 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 51.735 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 51.735 * [taylor]: Taking taylor expansion of -1/2 in J 51.735 * [backup-simplify]: Simplify -1/2 into -1/2 51.735 * [taylor]: Taking taylor expansion of K in J 51.735 * [backup-simplify]: Simplify K into K 51.736 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 51.736 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.736 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 51.736 * [taylor]: Taking taylor expansion of J in J 51.736 * [backup-simplify]: Simplify 0 into 0 51.736 * [backup-simplify]: Simplify 1 into 1 51.736 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 51.736 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 51.736 * [backup-simplify]: Simplify (- 0) into 0 51.736 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 51.736 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 51.736 * [backup-simplify]: Simplify (* -1 (cos (/ -1/2 K))) into (* -1 (cos (/ -1/2 K))) 51.736 * [backup-simplify]: Simplify (* -1 (cos (/ -1/2 K))) into (* -1 (cos (/ -1/2 K))) 51.736 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0 51.737 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (cos (/ -1/2 K)) J))) into 0 51.737 * [taylor]: Taking taylor expansion of 0 in J 51.737 * [backup-simplify]: Simplify 0 into 0 51.737 * [backup-simplify]: Simplify (+ 0) into 0 51.737 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 51.737 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 51.738 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.738 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 51.738 * [backup-simplify]: Simplify (- 0) into 0 51.739 * [backup-simplify]: Simplify (+ 0 0) into 0 51.739 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 51.739 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cos (/ -1/2 K)))) into 0 51.739 * [backup-simplify]: Simplify 0 into 0 51.740 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 51.740 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (cos (/ -1/2 K)) J)))) into 0 51.740 * [taylor]: Taking taylor expansion of 0 in J 51.740 * [backup-simplify]: Simplify 0 into 0 51.740 * [backup-simplify]: Simplify 0 into 0 51.741 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 51.741 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 51.741 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 51.742 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 51.742 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 51.742 * [backup-simplify]: Simplify (- 0) into 0 51.742 * [backup-simplify]: Simplify (+ 0 0) into 0 51.743 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.744 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 51.744 * [backup-simplify]: Simplify 0 into 0 51.744 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 51.745 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ -1/2 K)) J))))) into 0 51.745 * [taylor]: Taking taylor expansion of 0 in J 51.745 * [backup-simplify]: Simplify 0 into 0 51.745 * [backup-simplify]: Simplify 0 into 0 51.745 * [backup-simplify]: Simplify 0 into 0 51.745 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 51.746 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 51.746 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 51.747 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 51.747 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 51.747 * [backup-simplify]: Simplify (- 0) into 0 51.748 * [backup-simplify]: Simplify (+ 0 0) into 0 51.749 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.749 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 51.749 * [backup-simplify]: Simplify 0 into 0 51.750 * [backup-simplify]: Simplify (* (* -1 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (/ 1 (- J))) 1)) into (* (cos (* 1/2 K)) J) 51.750 * * * [progress]: simplifying candidates 51.750 * * * * [progress]: [ 1 / 142 ] simplifiying candidate # 51.750 * * * * [progress]: [ 2 / 142 ] simplifiying candidate # 51.750 * * * * [progress]: [ 3 / 142 ] simplifiying candidate # 51.750 * * * * [progress]: [ 4 / 142 ] simplifiying candidate # 51.750 * * * * [progress]: [ 5 / 142 ] simplifiying candidate # 51.750 * * * * [progress]: [ 6 / 142 ] simplifiying candidate # 51.750 * * * * [progress]: [ 7 / 142 ] simplifiying candidate # 51.750 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) 51.750 * * [simplify]: iters left: 6 (15 enodes) 51.756 * * [simplify]: iters left: 5 (59 enodes) 51.777 * * [simplify]: iters left: 4 (112 enodes) 51.818 * * [simplify]: iters left: 3 (365 enodes) 52.025 * * [simplify]: Extracting #0: cost 1 inf + 0 52.025 * * [simplify]: Extracting #1: cost 4 inf + 0 52.025 * * [simplify]: Extracting #2: cost 7 inf + 0 52.025 * * [simplify]: Extracting #3: cost 10 inf + 0 52.025 * * [simplify]: Extracting #4: cost 122 inf + 1 52.029 * * [simplify]: Extracting #5: cost 241 inf + 89 52.031 * * [simplify]: Extracting #6: cost 203 inf + 3666 52.034 * * [simplify]: Extracting #7: cost 128 inf + 17960 52.052 * * [simplify]: Extracting #8: cost 13 inf + 45848 52.082 * * [simplify]: Extracting #9: cost 0 inf + 48961 52.112 * [simplify]: Simplified to (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) 52.112 * [simplify]: Simplified (2 1 1 1 1) to (λ (J K U) (* (* (* (* (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (sqrt (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2))) J)) 52.112 * * * * [progress]: [ 8 / 142 ] simplifiying candidate # 52.113 * [simplify]: Simplifying (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) 52.113 * * [simplify]: iters left: 6 (14 enodes) 52.121 * * [simplify]: iters left: 5 (55 enodes) 52.140 * * [simplify]: iters left: 4 (108 enodes) 52.185 * * [simplify]: iters left: 3 (363 enodes) 52.468 * * [simplify]: Extracting #0: cost 1 inf + 0 52.468 * * [simplify]: Extracting #1: cost 3 inf + 0 52.468 * * [simplify]: Extracting #2: cost 5 inf + 0 52.469 * * [simplify]: Extracting #3: cost 8 inf + 0 52.469 * * [simplify]: Extracting #4: cost 123 inf + 1 52.470 * * [simplify]: Extracting #5: cost 234 inf + 420 52.471 * * [simplify]: Extracting #6: cost 203 inf + 3175 52.476 * * [simplify]: Extracting #7: cost 127 inf + 18949 52.490 * * [simplify]: Extracting #8: cost 7 inf + 46860 52.520 * * [simplify]: Extracting #9: cost 0 inf + 48232 52.547 * [simplify]: Simplified to (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 52.547 * [simplify]: Simplified (2 1 1 1 1) to (λ (J K U) (* (* (* (* (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2))) J)) 52.547 * * * * [progress]: [ 9 / 142 ] simplifiying candidate # 52.547 * [simplify]: Simplifying (sqrt 1) 52.547 * * [simplify]: iters left: 1 (2 enodes) 52.549 * * [simplify]: Extracting #0: cost 1 inf + 0 52.549 * * [simplify]: Extracting #1: cost 0 inf + 1 52.549 * [simplify]: Simplified to 1 52.549 * [simplify]: Simplified (2 1 1 1 1) to (λ (J K U) (* (* (* (* 1 (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) -2) (cos (/ K 2))) J)) 52.549 * * * * [progress]: [ 10 / 142 ] simplifiying candidate # 52.550 * [simplify]: Simplifying (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3))) 52.550 * * [simplify]: iters left: 6 (16 enodes) 52.555 * * [simplify]: iters left: 5 (70 enodes) 52.570 * * [simplify]: iters left: 4 (176 enodes) 52.721 * * [simplify]: Extracting #0: cost 1 inf + 0 52.721 * * [simplify]: Extracting #1: cost 3 inf + 0 52.721 * * [simplify]: Extracting #2: cost 6 inf + 0 52.721 * * [simplify]: Extracting #3: cost 103 inf + 1 52.722 * * [simplify]: Extracting #4: cost 306 inf + 6 52.724 * * [simplify]: Extracting #5: cost 338 inf + 1810 52.728 * * [simplify]: Extracting #6: cost 242 inf + 27932 52.746 * * [simplify]: Extracting #7: cost 28 inf + 100762 52.771 * * [simplify]: Extracting #8: cost 0 inf + 110036 52.794 * [simplify]: Simplified to (sqrt (+ 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 52.794 * [simplify]: Simplified (2 1 1 1 1) to (λ (J K U) (* (* (* (/ (sqrt (+ 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) -2) (cos (/ K 2))) J)) 52.795 * * * * [progress]: [ 11 / 142 ] simplifiying candidate # 52.795 * [simplify]: Simplifying (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* 1 1))) 52.795 * * [simplify]: iters left: 6 (15 enodes) 52.800 * * [simplify]: iters left: 5 (62 enodes) 52.812 * * [simplify]: iters left: 4 (150 enodes) 52.954 * * [simplify]: Extracting #0: cost 1 inf + 0 52.954 * * [simplify]: Extracting #1: cost 3 inf + 0 52.954 * * [simplify]: Extracting #2: cost 9 inf + 0 52.955 * * [simplify]: Extracting #3: cost 105 inf + 2 52.956 * * [simplify]: Extracting #4: cost 286 inf + 6 52.959 * * [simplify]: Extracting #5: cost 280 inf + 1923 52.971 * * [simplify]: Extracting #6: cost 191 inf + 25190 53.000 * * [simplify]: Extracting #7: cost 26 inf + 76271 53.022 * * [simplify]: Extracting #8: cost 0 inf + 85028 53.039 * [simplify]: Simplified to (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) 53.039 * [simplify]: Simplified (2 1 1 1 1) to (λ (J K U) (* (* (* (/ (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) -2) (cos (/ K 2))) J)) 53.040 * * * * [progress]: [ 12 / 142 ] simplifiying candidate # 53.040 * [simplify]: Simplifying (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 53.040 * * [simplify]: iters left: 6 (12 enodes) 53.043 * * [simplify]: iters left: 5 (49 enodes) 53.052 * * [simplify]: iters left: 4 (102 enodes) 53.079 * * [simplify]: iters left: 3 (356 enodes) 53.357 * * [simplify]: Extracting #0: cost 1 inf + 0 53.357 * * [simplify]: Extracting #1: cost 4 inf + 0 53.357 * * [simplify]: Extracting #2: cost 116 inf + 1 53.358 * * [simplify]: Extracting #3: cost 234 inf + 254 53.360 * * [simplify]: Extracting #4: cost 192 inf + 4198 53.364 * * [simplify]: Extracting #5: cost 121 inf + 19235 53.380 * * [simplify]: Extracting #6: cost 5 inf + 46310 53.408 * * [simplify]: Extracting #7: cost 0 inf + 47117 53.425 * * [simplify]: Extracting #8: cost 0 inf + 46998 53.440 * [simplify]: Simplified to (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 53.440 * [simplify]: Simplified (2 1 1 1 1) to (λ (J K U) (* (* (* (pow (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (/ 1 2)) -2) (cos (/ K 2))) J)) 53.440 * * * * [progress]: [ 13 / 142 ] simplifiying candidate # 53.440 * * * * [progress]: [ 14 / 142 ] simplifiying candidate # 53.440 * [simplify]: Simplifying (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 53.440 * * [simplify]: iters left: 6 (13 enodes) 53.448 * * [simplify]: iters left: 5 (52 enodes) 53.466 * * [simplify]: iters left: 4 (105 enodes) 53.519 * * [simplify]: iters left: 3 (359 enodes) 53.761 * * [simplify]: Extracting #0: cost 1 inf + 0 53.761 * * [simplify]: Extracting #1: cost 3 inf + 0 53.761 * * [simplify]: Extracting #2: cost 6 inf + 0 53.762 * * [simplify]: Extracting #3: cost 118 inf + 1 53.764 * * [simplify]: Extracting #4: cost 235 inf + 336 53.770 * * [simplify]: Extracting #5: cost 193 inf + 4402 53.774 * * [simplify]: Extracting #6: cost 119 inf + 19348 53.787 * * [simplify]: Extracting #7: cost 7 inf + 46040 53.807 * * [simplify]: Extracting #8: cost 0 inf + 47488 53.836 * [simplify]: Simplified to (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 53.836 * [simplify]: Simplified (2 1 1 1 1) to (λ (J K U) (* (* (* (fabs (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) -2) (cos (/ K 2))) J)) 53.836 * * * * [progress]: [ 15 / 142 ] simplifiying candidate # 53.836 * * * * [progress]: [ 16 / 142 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2))) J))> 53.836 * * * * [progress]: [ 17 / 142 ] simplifiying candidate # 53.836 * [simplify]: Simplifying (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J) 53.837 * * [simplify]: iters left: 6 (17 enodes) 53.841 * * [simplify]: iters left: 5 (70 enodes) 53.854 * * [simplify]: iters left: 4 (145 enodes) 53.902 * * [simplify]: iters left: 3 (435 enodes) 54.184 * * [simplify]: Extracting #0: cost 1 inf + 0 54.184 * * [simplify]: Extracting #1: cost 16 inf + 0 54.184 * * [simplify]: Extracting #2: cost 28 inf + 2 54.184 * * [simplify]: Extracting #3: cost 33 inf + 44 54.184 * * [simplify]: Extracting #4: cost 142 inf + 89 54.186 * * [simplify]: Extracting #5: cost 238 inf + 3391 54.198 * * [simplify]: Extracting #6: cost 74 inf + 36414 54.228 * * [simplify]: Extracting #7: cost 1 inf + 54199 54.261 * * [simplify]: Extracting #8: cost 0 inf + 54240 54.294 * [simplify]: Simplified to (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))) (* -2 (* (cos (/ K 2)) J))) 54.295 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))) (* -2 (* (cos (/ K 2)) J))) 1)) 54.295 * * * * [progress]: [ 18 / 142 ] simplifiying candidate # 54.295 * [simplify]: Simplifying (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J) 54.295 * * [simplify]: iters left: 6 (17 enodes) 54.305 * * [simplify]: iters left: 5 (70 enodes) 54.318 * * [simplify]: iters left: 4 (145 enodes) 54.367 * * [simplify]: iters left: 3 (435 enodes) 54.618 * * [simplify]: Extracting #0: cost 1 inf + 0 54.619 * * [simplify]: Extracting #1: cost 16 inf + 0 54.619 * * [simplify]: Extracting #2: cost 28 inf + 2 54.619 * * [simplify]: Extracting #3: cost 33 inf + 44 54.620 * * [simplify]: Extracting #4: cost 142 inf + 89 54.623 * * [simplify]: Extracting #5: cost 238 inf + 3391 54.639 * * [simplify]: Extracting #6: cost 74 inf + 36414 54.671 * * [simplify]: Extracting #7: cost 1 inf + 54199 54.704 * * [simplify]: Extracting #8: cost 0 inf + 54240 54.725 * [simplify]: Simplified to (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))) (* -2 (* (cos (/ K 2)) J))) 54.725 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))) (* -2 (* (cos (/ K 2)) J))) 1)) 54.725 * * * * [progress]: [ 19 / 142 ] simplifiying candidate # 54.725 * [simplify]: Simplifying (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J) 54.725 * * [simplify]: iters left: 6 (17 enodes) 54.730 * * [simplify]: iters left: 5 (70 enodes) 54.745 * * [simplify]: iters left: 4 (145 enodes) 54.793 * * [simplify]: iters left: 3 (435 enodes) 55.052 * * [simplify]: Extracting #0: cost 1 inf + 0 55.052 * * [simplify]: Extracting #1: cost 16 inf + 0 55.052 * * [simplify]: Extracting #2: cost 28 inf + 2 55.052 * * [simplify]: Extracting #3: cost 33 inf + 44 55.053 * * [simplify]: Extracting #4: cost 142 inf + 89 55.056 * * [simplify]: Extracting #5: cost 238 inf + 3391 55.073 * * [simplify]: Extracting #6: cost 74 inf + 36414 55.105 * * [simplify]: Extracting #7: cost 1 inf + 54199 55.135 * * [simplify]: Extracting #8: cost 0 inf + 54240 55.152 * [simplify]: Simplified to (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))) (* -2 (* (cos (/ K 2)) J))) 55.152 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))) (* -2 (* (cos (/ K 2)) J))) 1)) 55.152 * * * * [progress]: [ 20 / 142 ] simplifiying candidate # 55.152 * * * * [progress]: [ 21 / 142 ] simplifiying candidate # 55.153 * [simplify]: Simplifying (+ (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (log (cos (/ K 2)))) (log J)) 55.153 * * [simplify]: iters left: 6 (21 enodes) 55.158 * * [simplify]: iters left: 5 (83 enodes) 55.175 * * [simplify]: iters left: 4 (160 enodes) 55.222 * * [simplify]: iters left: 3 (452 enodes) 55.518 * * [simplify]: Extracting #0: cost 1 inf + 0 55.518 * * [simplify]: Extracting #1: cost 16 inf + 0 55.519 * * [simplify]: Extracting #2: cost 34 inf + 0 55.519 * * [simplify]: Extracting #3: cost 35 inf + 73 55.519 * * [simplify]: Extracting #4: cost 36 inf + 650 55.520 * * [simplify]: Extracting #5: cost 148 inf + 653 55.524 * * [simplify]: Extracting #6: cost 240 inf + 4224 55.544 * * [simplify]: Extracting #7: cost 51 inf + 45161 55.579 * * [simplify]: Extracting #8: cost 0 inf + 60020 55.615 * * [simplify]: Extracting #9: cost 0 inf + 59902 55.637 * [simplify]: Simplified to (+ (+ (+ (log J) (log (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (log (cos (/ K 2)))) (log -2)) 55.637 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (+ (log J) (log (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (log (cos (/ K 2)))) (log -2)))) 55.637 * * * * [progress]: [ 22 / 142 ] simplifiying candidate # 55.637 * [simplify]: Simplifying (+ (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (log (cos (/ K 2)))) (log J)) 55.637 * * [simplify]: iters left: 6 (20 enodes) 55.643 * * [simplify]: iters left: 5 (81 enodes) 55.670 * * [simplify]: iters left: 4 (153 enodes) 55.738 * * [simplify]: iters left: 3 (439 enodes) 56.029 * * [simplify]: Extracting #0: cost 1 inf + 0 56.030 * * [simplify]: Extracting #1: cost 16 inf + 0 56.031 * * [simplify]: Extracting #2: cost 35 inf + 0 56.031 * * [simplify]: Extracting #3: cost 38 inf + 2 56.031 * * [simplify]: Extracting #4: cost 41 inf + 326 56.032 * * [simplify]: Extracting #5: cost 145 inf + 653 56.036 * * [simplify]: Extracting #6: cost 244 inf + 3656 56.051 * * [simplify]: Extracting #7: cost 77 inf + 37290 56.085 * * [simplify]: Extracting #8: cost 3 inf + 58370 56.105 * * [simplify]: Extracting #9: cost 0 inf + 59855 56.135 * [simplify]: Simplified to (+ (+ (log J) (log (* -2 (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))))) (log (cos (/ K 2)))) 56.135 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (log J) (log (* -2 (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))))) (log (cos (/ K 2)))))) 56.136 * * * * [progress]: [ 23 / 142 ] simplifiying candidate # 56.136 * [simplify]: Simplifying (+ (log (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2)))) (log J)) 56.136 * * [simplify]: iters left: 6 (19 enodes) 56.147 * * [simplify]: iters left: 5 (78 enodes) 56.173 * * [simplify]: iters left: 4 (154 enodes) 56.216 * * [simplify]: iters left: 3 (439 enodes) 56.512 * * [simplify]: Extracting #0: cost 1 inf + 0 56.512 * * [simplify]: Extracting #1: cost 25 inf + 0 56.512 * * [simplify]: Extracting #2: cost 45 inf + 0 56.512 * * [simplify]: Extracting #3: cost 51 inf + 2 56.513 * * [simplify]: Extracting #4: cost 54 inf + 286 56.513 * * [simplify]: Extracting #5: cost 161 inf + 471 56.515 * * [simplify]: Extracting #6: cost 250 inf + 5584 56.525 * * [simplify]: Extracting #7: cost 59 inf + 46973 56.546 * * [simplify]: Extracting #8: cost 11 inf + 59184 56.568 * * [simplify]: Extracting #9: cost 0 inf + 65218 56.587 * [simplify]: Simplified to (+ (log J) (log (* (* (cos (/ K 2)) -2) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) 56.587 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log J) (log (* (* (cos (/ K 2)) -2) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))) 56.587 * * * * [progress]: [ 24 / 142 ] simplifiying candidate # 56.587 * * * * [progress]: [ 25 / 142 ] simplifiying candidate # 56.587 * * * * [progress]: [ 26 / 142 ] simplifiying candidate # 56.588 * [simplify]: Simplifying (* (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* -2 -2) -2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* J J) J)) 56.588 * * [simplify]: iters left: 6 (25 enodes) 56.596 * * [simplify]: iters left: 5 (106 enodes) 56.634 * * [simplify]: iters left: 4 (294 enodes) 56.852 * * [simplify]: Extracting #0: cost 1 inf + 0 56.852 * * [simplify]: Extracting #1: cost 67 inf + 0 56.853 * * [simplify]: Extracting #2: cost 298 inf + 45 56.856 * * [simplify]: Extracting #3: cost 398 inf + 499 56.870 * * [simplify]: Extracting #4: cost 356 inf + 24063 56.897 * * [simplify]: Extracting #5: cost 102 inf + 115031 56.953 * * [simplify]: Extracting #6: cost 1 inf + 163077 57.016 * * [simplify]: Extracting #7: cost 0 inf + 163502 57.091 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) J) (* (* -8 (* (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (* (cos (/ K 2)) (cos (/ K 2))))) (* J J)) 57.091 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (cos (/ K 2)) J) (* (* -8 (* (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (* (cos (/ K 2)) (cos (/ K 2))))) (* J J)))) 57.091 * * * * [progress]: [ 27 / 142 ] simplifiying candidate # 57.091 * [simplify]: Simplifying (* (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* J J) J)) 57.091 * * [simplify]: iters left: 6 (23 enodes) 57.098 * * [simplify]: iters left: 5 (106 enodes) 57.119 * * [simplify]: iters left: 4 (274 enodes) 57.224 * * [simplify]: Extracting #0: cost 1 inf + 0 57.224 * * [simplify]: Extracting #1: cost 52 inf + 0 57.225 * * [simplify]: Extracting #2: cost 236 inf + 2 57.226 * * [simplify]: Extracting #3: cost 253 inf + 300 57.227 * * [simplify]: Extracting #4: cost 277 inf + 4264 57.233 * * [simplify]: Extracting #5: cost 262 inf + 26694 57.264 * * [simplify]: Extracting #6: cost 57 inf + 109963 57.315 * * [simplify]: Extracting #7: cost 0 inf + 132238 57.369 * * [simplify]: Extracting #8: cost 0 inf + 131870 57.417 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) (cos (/ K 2))) (* J (* J J))) (* (* (cos (/ K 2)) (sqrt (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J)))))) (* -8 (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))))))) 57.417 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (cos (/ K 2)) (cos (/ K 2))) (* J (* J J))) (* (* (cos (/ K 2)) (sqrt (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J)))))) (* -8 (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))))))))) 57.417 * * * * [progress]: [ 28 / 142 ] simplifiying candidate # 57.418 * [simplify]: Simplifying (* (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2)))) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2)))) (* (* J J) J)) 57.418 * * [simplify]: iters left: 6 (21 enodes) 57.428 * * [simplify]: iters left: 5 (96 enodes) 57.460 * * [simplify]: iters left: 4 (277 enodes) 57.623 * * [simplify]: Extracting #0: cost 1 inf + 0 57.623 * * [simplify]: Extracting #1: cost 49 inf + 0 57.624 * * [simplify]: Extracting #2: cost 229 inf + 43 57.626 * * [simplify]: Extracting #3: cost 246 inf + 373 57.629 * * [simplify]: Extracting #4: cost 275 inf + 3570 57.641 * * [simplify]: Extracting #5: cost 247 inf + 31854 57.683 * * [simplify]: Extracting #6: cost 56 inf + 108672 57.723 * * [simplify]: Extracting #7: cost 0 inf + 132856 57.794 * * [simplify]: Extracting #8: cost 0 inf + 132816 57.870 * [simplify]: Simplified to (* (* (* (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (* (cos (/ K 2)) -2)) J) (* (* (* (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (* (cos (/ K 2)) -2)) J) (* (* (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (* (cos (/ K 2)) -2)) J))) 57.870 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (* (cos (/ K 2)) -2)) J) (* (* (* (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (* (cos (/ K 2)) -2)) J) (* (* (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (* (cos (/ K 2)) -2)) J))))) 57.870 * * * * [progress]: [ 29 / 142 ] simplifiying candidate # 57.870 * * * * [progress]: [ 30 / 142 ] simplifiying candidate # 57.870 * * * * [progress]: [ 31 / 142 ] simplifiying candidate # 57.870 * * * * [progress]: [ 32 / 142 ] simplifiying candidate # 57.870 * * * * [progress]: [ 33 / 142 ] simplifiying candidate # 57.871 * [simplify]: Simplifying (cbrt J) 57.871 * * [simplify]: iters left: 1 (2 enodes) 57.872 * * [simplify]: Extracting #0: cost 1 inf + 0 57.872 * * [simplify]: Extracting #1: cost 3 inf + 0 57.872 * * [simplify]: Extracting #2: cost 2 inf + 1 57.872 * * [simplify]: Extracting #3: cost 0 inf + 163 57.872 * [simplify]: Simplified to (cbrt J) 57.872 * [simplify]: Simplified (2 2) to (λ (J K U) (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) (* (cbrt J) (cbrt J))) (cbrt J))) 57.872 * * * * [progress]: [ 34 / 142 ] simplifiying candidate # 57.872 * [simplify]: Simplifying (sqrt J) 57.872 * * [simplify]: iters left: 1 (2 enodes) 57.873 * * [simplify]: Extracting #0: cost 1 inf + 0 57.873 * * [simplify]: Extracting #1: cost 3 inf + 0 57.873 * * [simplify]: Extracting #2: cost 2 inf + 1 57.873 * * [simplify]: Extracting #3: cost 0 inf + 83 57.873 * [simplify]: Simplified to (sqrt J) 57.873 * [simplify]: Simplified (2 2) to (λ (J K U) (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) (sqrt J)) (sqrt J))) 57.873 * * * * [progress]: [ 35 / 142 ] simplifiying candidate # 57.874 * * * * [progress]: [ 36 / 142 ] simplifiying candidate # 57.874 * [simplify]: Simplifying (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) 57.874 * * [simplify]: iters left: 6 (15 enodes) 57.881 * * [simplify]: iters left: 5 (59 enodes) 57.891 * * [simplify]: iters left: 4 (112 enodes) 57.924 * * [simplify]: iters left: 3 (365 enodes) 58.198 * * [simplify]: Extracting #0: cost 1 inf + 0 58.198 * * [simplify]: Extracting #1: cost 4 inf + 0 58.198 * * [simplify]: Extracting #2: cost 5 inf + 1 58.198 * * [simplify]: Extracting #3: cost 8 inf + 1 58.198 * * [simplify]: Extracting #4: cost 121 inf + 2 58.201 * * [simplify]: Extracting #5: cost 237 inf + 214 58.204 * * [simplify]: Extracting #6: cost 202 inf + 3502 58.212 * * [simplify]: Extracting #7: cost 112 inf + 21265 58.237 * * [simplify]: Extracting #8: cost 11 inf + 45496 58.267 * * [simplify]: Extracting #9: cost 0 inf + 47914 58.297 * * [simplify]: Extracting #10: cost 0 inf + 47913 58.330 * * [simplify]: Extracting #11: cost 0 inf + 47912 58.356 * [simplify]: Simplified to (* -2 (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 58.356 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* -2 (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* (cos (/ K 2)) J))) 58.356 * * * * [progress]: [ 37 / 142 ] simplifiying candidate # 58.357 * [simplify]: Simplifying (* (* (* (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3))) -2) (cos (/ K 2))) J) 58.357 * * [simplify]: iters left: 6 (20 enodes) 58.363 * * [simplify]: iters left: 5 (88 enodes) 58.382 * * [simplify]: iters left: 4 (218 enodes) 58.494 * * [simplify]: Extracting #0: cost 1 inf + 0 58.494 * * [simplify]: Extracting #1: cost 17 inf + 0 58.494 * * [simplify]: Extracting #2: cost 29 inf + 2 58.494 * * [simplify]: Extracting #3: cost 33 inf + 86 58.494 * * [simplify]: Extracting #4: cost 126 inf + 89 58.495 * * [simplify]: Extracting #5: cost 327 inf + 1396 58.501 * * [simplify]: Extracting #6: cost 253 inf + 34932 58.519 * * [simplify]: Extracting #7: cost 71 inf + 99693 58.548 * * [simplify]: Extracting #8: cost 0 inf + 125482 58.597 * * [simplify]: Extracting #9: cost 0 inf + 125231 58.631 * * [simplify]: Extracting #10: cost 0 inf + 125151 58.672 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ 1 (* (* (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))) (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2))))) (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))))) 58.672 * [simplify]: Simplified (2 1) to (λ (J K U) (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ 1 (* (* (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))) (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2))))) (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))))) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) 58.672 * * * * [progress]: [ 38 / 142 ] simplifiying candidate # 58.673 * [simplify]: Simplifying (* (* (* (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* 1 1))) -2) (cos (/ K 2))) J) 58.673 * * [simplify]: iters left: 6 (19 enodes) 58.685 * * [simplify]: iters left: 5 (80 enodes) 58.715 * * [simplify]: iters left: 4 (192 enodes) 58.815 * * [simplify]: Extracting #0: cost 1 inf + 0 58.815 * * [simplify]: Extracting #1: cost 17 inf + 0 58.815 * * [simplify]: Extracting #2: cost 29 inf + 2 58.815 * * [simplify]: Extracting #3: cost 36 inf + 86 58.815 * * [simplify]: Extracting #4: cost 126 inf + 90 58.816 * * [simplify]: Extracting #5: cost 297 inf + 2114 58.825 * * [simplify]: Extracting #6: cost 134 inf + 53340 58.845 * * [simplify]: Extracting #7: cost 4 inf + 93126 58.867 * * [simplify]: Extracting #8: cost 0 inf + 94242 58.892 * * [simplify]: Extracting #9: cost 0 inf + 94164 58.913 * [simplify]: Simplified to (* (* -2 (* (cos (/ K 2)) J)) (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1))) 58.913 * [simplify]: Simplified (2 1) to (λ (J K U) (/ (* (* -2 (* (cos (/ K 2)) J)) (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1))) (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) 58.913 * * * * [progress]: [ 39 / 142 ] simplifiying candidate #real (real->posit16 (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))))> 58.913 * * * * [progress]: [ 40 / 142 ] simplifiying candidate # 58.914 * * * * [progress]: [ 41 / 142 ] simplifiying candidate # 58.914 * [simplify]: Simplifying (/ U (* 2 (* (cos (/ K 2)) J))) 58.914 * * [simplify]: iters left: 6 (9 enodes) 58.916 * * [simplify]: iters left: 5 (33 enodes) 58.922 * * [simplify]: iters left: 4 (51 enodes) 58.930 * * [simplify]: iters left: 3 (68 enodes) 58.938 * * [simplify]: iters left: 2 (73 enodes) 58.947 * * [simplify]: Extracting #0: cost 1 inf + 0 58.947 * * [simplify]: Extracting #1: cost 12 inf + 0 58.947 * * [simplify]: Extracting #2: cost 21 inf + 3 58.947 * * [simplify]: Extracting #3: cost 21 inf + 337 58.948 * * [simplify]: Extracting #4: cost 12 inf + 1158 58.949 * * [simplify]: Extracting #5: cost 0 inf + 3114 58.950 * [simplify]: Simplified to (/ (/ U (* J 2)) (cos (/ K 2))) 58.950 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (pow (/ (/ U (* J 2)) (cos (/ K 2))) (+ 1 1)) 1)) -2) (cos (/ K 2))) J)) 58.951 * [simplify]: Simplifying (+ 1 1) 58.951 * * [simplify]: iters left: 2 (2 enodes) 58.953 * * [simplify]: iters left: 1 (9 enodes) 58.956 * * [simplify]: Extracting #0: cost 1 inf + 0 58.956 * * [simplify]: Extracting #1: cost 0 inf + 1 58.956 * [simplify]: Simplified to 2 58.956 * [simplify]: Simplified (2 1 1 1 1 1 2) to (λ (J K U) (* (* (* (sqrt (+ (pow (/ U (* 2 (* (cos (/ K 2)) J))) 2) 1)) -2) (cos (/ K 2))) J)) 58.956 * * * * [progress]: [ 42 / 142 ] simplifiying candidate # 58.957 * [simplify]: Simplifying (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 58.957 * * [simplify]: iters left: 6 (10 enodes) 58.962 * * [simplify]: iters left: 5 (40 enodes) 58.976 * * [simplify]: iters left: 4 (91 enodes) 59.018 * * [simplify]: iters left: 3 (345 enodes) 59.225 * * [simplify]: Extracting #0: cost 1 inf + 0 59.225 * * [simplify]: Extracting #1: cost 119 inf + 0 59.226 * * [simplify]: Extracting #2: cost 236 inf + 45 59.227 * * [simplify]: Extracting #3: cost 207 inf + 2474 59.232 * * [simplify]: Extracting #4: cost 104 inf + 22392 59.245 * * [simplify]: Extracting #5: cost 6 inf + 45410 59.260 * * [simplify]: Extracting #6: cost 0 inf + 46788 59.277 * * [simplify]: Extracting #7: cost 0 inf + 46787 59.291 * [simplify]: Simplified to (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) 59.291 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (pow (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) 1) 1)) -2) (cos (/ K 2))) J)) 59.291 * * * * [progress]: [ 43 / 142 ] simplifiying candidate # 59.291 * * * * [progress]: [ 44 / 142 ] simplifiying candidate # 59.292 * [simplify]: Simplifying (/ U (* 2 (* (cos (/ K 2)) J))) 59.292 * * [simplify]: iters left: 6 (9 enodes) 59.294 * * [simplify]: iters left: 5 (33 enodes) 59.300 * * [simplify]: iters left: 4 (51 enodes) 59.311 * * [simplify]: iters left: 3 (68 enodes) 59.329 * * [simplify]: iters left: 2 (73 enodes) 59.346 * * [simplify]: Extracting #0: cost 1 inf + 0 59.346 * * [simplify]: Extracting #1: cost 12 inf + 0 59.346 * * [simplify]: Extracting #2: cost 21 inf + 3 59.346 * * [simplify]: Extracting #3: cost 21 inf + 337 59.347 * * [simplify]: Extracting #4: cost 12 inf + 1158 59.348 * * [simplify]: Extracting #5: cost 0 inf + 3114 59.349 * [simplify]: Simplified to (/ (/ U (* J 2)) (cos (/ K 2))) 59.349 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (pow (/ (/ U (* J 2)) (cos (/ K 2))) (+ 1 1)) 1)) -2) (cos (/ K 2))) J)) 59.349 * * * * [progress]: [ 45 / 142 ] simplifiying candidate # 59.349 * * * * [progress]: [ 46 / 142 ] simplifiying candidate # 59.349 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J)))) (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J))))) 59.350 * * [simplify]: iters left: 6 (14 enodes) 59.357 * * [simplify]: iters left: 5 (54 enodes) 59.376 * * [simplify]: iters left: 4 (119 enodes) 59.415 * * [simplify]: iters left: 3 (457 enodes) 59.944 * * [simplify]: Extracting #0: cost 1 inf + 0 59.944 * * [simplify]: Extracting #1: cost 87 inf + 0 59.954 * * [simplify]: Extracting #2: cost 441 inf + 0 59.959 * * [simplify]: Extracting #3: cost 435 inf + 3488 59.967 * * [simplify]: Extracting #4: cost 350 inf + 25733 59.995 * * [simplify]: Extracting #5: cost 181 inf + 99937 60.063 * * [simplify]: Extracting #6: cost 13 inf + 179498 60.109 * * [simplify]: Extracting #7: cost 0 inf + 185853 60.161 * [simplify]: Simplified to (+ (- (- (log U) (log 2)) (+ (log J) (log (cos (/ K 2))))) (- (- (log U) (log 2)) (+ (log J) (log (cos (/ K 2)))))) 60.162 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (exp (+ (- (- (log U) (log 2)) (+ (log J) (log (cos (/ K 2))))) (- (- (log U) (log 2)) (+ (log J) (log (cos (/ K 2))))))) 1)) -2) (cos (/ K 2))) J)) 60.162 * * * * [progress]: [ 47 / 142 ] simplifiying candidate # 60.162 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J)))) (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J))))) 60.162 * * [simplify]: iters left: 6 (18 enodes) 60.172 * * [simplify]: iters left: 5 (62 enodes) 60.194 * * [simplify]: iters left: 4 (132 enodes) 60.262 * * [simplify]: iters left: 3 (478 enodes) 61.137 * * [simplify]: Extracting #0: cost 1 inf + 0 61.137 * * [simplify]: Extracting #1: cost 82 inf + 0 61.138 * * [simplify]: Extracting #2: cost 445 inf + 0 61.141 * * [simplify]: Extracting #3: cost 428 inf + 6272 61.146 * * [simplify]: Extracting #4: cost 350 inf + 27083 61.159 * * [simplify]: Extracting #5: cost 195 inf + 92277 61.221 * * [simplify]: Extracting #6: cost 8 inf + 176798 61.274 * * [simplify]: Extracting #7: cost 0 inf + 179724 61.323 * [simplify]: Simplified to (+ (- (- (log U) (log 2)) (log (* (cos (/ K 2)) J))) (- (- (log U) (log 2)) (log (* (cos (/ K 2)) J)))) 61.323 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (exp (+ (- (- (log U) (log 2)) (log (* (cos (/ K 2)) J))) (- (- (log U) (log 2)) (log (* (cos (/ K 2)) J))))) 1)) -2) (cos (/ K 2))) J)) 61.323 * * * * [progress]: [ 48 / 142 ] simplifiying candidate # 61.323 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J)))) (- (log U) (log (* 2 (* (cos (/ K 2)) J))))) 61.323 * * [simplify]: iters left: 6 (18 enodes) 61.332 * * [simplify]: iters left: 5 (75 enodes) 61.354 * * [simplify]: iters left: 4 (150 enodes) 61.391 * * [simplify]: iters left: 3 (441 enodes) 61.801 * * [simplify]: Extracting #0: cost 1 inf + 0 61.801 * * [simplify]: Extracting #1: cost 83 inf + 0 61.802 * * [simplify]: Extracting #2: cost 392 inf + 0 61.805 * * [simplify]: Extracting #3: cost 353 inf + 11476 61.809 * * [simplify]: Extracting #4: cost 305 inf + 24860 61.824 * * [simplify]: Extracting #5: cost 144 inf + 93825 61.865 * * [simplify]: Extracting #6: cost 4 inf + 152810 61.925 * * [simplify]: Extracting #7: cost 0 inf + 148235 61.989 * * [simplify]: Extracting #8: cost 0 inf + 147415 62.022 * [simplify]: Simplified to (+ (- (log U) (log (* 2 (* (cos (/ K 2)) J)))) (- (log U) (log (* 2 (* (cos (/ K 2)) J))))) 62.022 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (exp (+ (- (log U) (log (* 2 (* (cos (/ K 2)) J)))) (- (log U) (log (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (cos (/ K 2))) J)) 62.022 * * * * [progress]: [ 49 / 142 ] simplifiying candidate # 62.022 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J)))) (log (/ U (* 2 (* (cos (/ K 2)) J))))) 62.022 * * [simplify]: iters left: 6 (18 enodes) 62.027 * * [simplify]: iters left: 5 (73 enodes) 62.040 * * [simplify]: iters left: 4 (158 enodes) 62.074 * * [simplify]: iters left: 3 (401 enodes) 62.232 * * [simplify]: Extracting #0: cost 1 inf + 0 62.232 * * [simplify]: Extracting #1: cost 75 inf + 0 62.233 * * [simplify]: Extracting #2: cost 294 inf + 0 62.236 * * [simplify]: Extracting #3: cost 333 inf + 1095 62.245 * * [simplify]: Extracting #4: cost 297 inf + 8726 62.252 * * [simplify]: Extracting #5: cost 207 inf + 35649 62.271 * * [simplify]: Extracting #6: cost 32 inf + 113007 62.309 * * [simplify]: Extracting #7: cost 3 inf + 120686 62.338 * * [simplify]: Extracting #8: cost 0 inf + 119948 62.376 * * [simplify]: Extracting #9: cost 0 inf + 119908 62.423 * [simplify]: Simplified to (+ (log (/ (/ (/ U J) 2) (cos (/ K 2)))) (log (/ (/ (/ U J) 2) (cos (/ K 2))))) 62.424 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (exp (+ (log (/ (/ (/ U J) 2) (cos (/ K 2)))) (log (/ (/ (/ U J) 2) (cos (/ K 2)))))) 1)) -2) (cos (/ K 2))) J)) 62.424 * * * * [progress]: [ 50 / 142 ] simplifiying candidate # 62.424 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J))))) 62.424 * * [simplify]: iters left: 6 (18 enodes) 62.434 * * [simplify]: iters left: 5 (63 enodes) 62.450 * * [simplify]: iters left: 4 (128 enodes) 62.491 * * [simplify]: iters left: 3 (467 enodes) 62.893 * * [simplify]: Extracting #0: cost 1 inf + 0 62.893 * * [simplify]: Extracting #1: cost 87 inf + 0 62.903 * * [simplify]: Extracting #2: cost 459 inf + 0 62.908 * * [simplify]: Extracting #3: cost 444 inf + 6063 62.917 * * [simplify]: Extracting #4: cost 367 inf + 26781 62.945 * * [simplify]: Extracting #5: cost 208 inf + 91682 62.987 * * [simplify]: Extracting #6: cost 16 inf + 181307 63.065 * * [simplify]: Extracting #7: cost 0 inf + 189267 63.115 * [simplify]: Simplified to (+ (- (- (log U) (log (* J (cos (/ K 2))))) (log 2)) (- (- (log U) (log (* J (cos (/ K 2))))) (log 2))) 63.115 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (exp (+ (- (- (log U) (log (* J (cos (/ K 2))))) (log 2)) (- (- (log U) (log (* J (cos (/ K 2))))) (log 2)))) 1)) -2) (cos (/ K 2))) J)) 63.115 * * * * [progress]: [ 51 / 142 ] simplifiying candidate # 63.115 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J))))) 63.116 * * [simplify]: iters left: 6 (13 enodes) 63.119 * * [simplify]: iters left: 5 (52 enodes) 63.129 * * [simplify]: iters left: 4 (107 enodes) 63.165 * * [simplify]: iters left: 3 (365 enodes) 63.552 * * [simplify]: Extracting #0: cost 1 inf + 0 63.552 * * [simplify]: Extracting #1: cost 73 inf + 0 63.554 * * [simplify]: Extracting #2: cost 366 inf + 0 63.556 * * [simplify]: Extracting #3: cost 356 inf + 3306 63.559 * * [simplify]: Extracting #4: cost 311 inf + 14304 63.567 * * [simplify]: Extracting #5: cost 182 inf + 63744 63.597 * * [simplify]: Extracting #6: cost 3 inf + 143874 63.627 * * [simplify]: Extracting #7: cost 0 inf + 144974 63.668 * [simplify]: Simplified to (+ (- (- (log U) (log 2)) (log (* J (cos (/ K 2))))) (- (- (log U) (log 2)) (log (* J (cos (/ K 2)))))) 63.668 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (exp (+ (- (- (log U) (log 2)) (log (* J (cos (/ K 2))))) (- (- (log U) (log 2)) (log (* J (cos (/ K 2))))))) 1)) -2) (cos (/ K 2))) J)) 63.668 * * * * [progress]: [ 52 / 142 ] simplifiying candidate # 63.668 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J)))) (- (log U) (log (* 2 (* (cos (/ K 2)) J))))) 63.669 * * [simplify]: iters left: 6 (16 enodes) 63.673 * * [simplify]: iters left: 5 (63 enodes) 63.685 * * [simplify]: iters left: 4 (135 enodes) 63.728 * * [simplify]: iters left: 3 (409 enodes) 64.066 * * [simplify]: Extracting #0: cost 1 inf + 0 64.067 * * [simplify]: Extracting #1: cost 70 inf + 0 64.068 * * [simplify]: Extracting #2: cost 384 inf + 0 64.070 * * [simplify]: Extracting #3: cost 371 inf + 5484 64.074 * * [simplify]: Extracting #4: cost 306 inf + 22123 64.083 * * [simplify]: Extracting #5: cost 174 inf + 73482 64.117 * * [simplify]: Extracting #6: cost 9 inf + 144143 64.146 * * [simplify]: Extracting #7: cost 0 inf + 144938 64.186 * * [simplify]: Extracting #8: cost 0 inf + 144748 64.217 * [simplify]: Simplified to (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2)))))) 64.217 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (exp (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2))))))) 1)) -2) (cos (/ K 2))) J)) 64.217 * * * * [progress]: [ 53 / 142 ] simplifiying candidate # 64.217 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J)))) (log (/ U (* 2 (* (cos (/ K 2)) J))))) 64.217 * * [simplify]: iters left: 6 (16 enodes) 64.222 * * [simplify]: iters left: 5 (67 enodes) 64.243 * * [simplify]: iters left: 4 (136 enodes) 64.298 * * [simplify]: iters left: 3 (364 enodes) 64.517 * * [simplify]: Extracting #0: cost 1 inf + 0 64.517 * * [simplify]: Extracting #1: cost 62 inf + 0 64.519 * * [simplify]: Extracting #2: cost 325 inf + 0 64.522 * * [simplify]: Extracting #3: cost 344 inf + 4236 64.528 * * [simplify]: Extracting #4: cost 302 inf + 14346 64.538 * * [simplify]: Extracting #5: cost 171 inf + 62575 64.570 * * [simplify]: Extracting #6: cost 9 inf + 127185 64.601 * * [simplify]: Extracting #7: cost 0 inf + 124566 64.624 * * [simplify]: Extracting #8: cost 0 inf + 124346 64.661 * [simplify]: Simplified to (+ (log (/ (/ U 2) (* J (cos (/ K 2))))) (log (/ (/ U 2) (* J (cos (/ K 2)))))) 64.661 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (exp (+ (log (/ (/ U 2) (* J (cos (/ K 2))))) (log (/ (/ U 2) (* J (cos (/ K 2))))))) 1)) -2) (cos (/ K 2))) J)) 64.661 * * * * [progress]: [ 54 / 142 ] simplifiying candidate # 64.661 * [simplify]: Simplifying (+ (- (log U) (log (* 2 (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J))))) 64.662 * * [simplify]: iters left: 6 (18 enodes) 64.671 * * [simplify]: iters left: 5 (75 enodes) 64.693 * * [simplify]: iters left: 4 (153 enodes) 64.747 * * [simplify]: iters left: 3 (475 enodes) 65.193 * * [simplify]: Extracting #0: cost 1 inf + 0 65.193 * * [simplify]: Extracting #1: cost 84 inf + 0 65.195 * * [simplify]: Extracting #2: cost 434 inf + 0 65.200 * * [simplify]: Extracting #3: cost 400 inf + 11081 65.208 * * [simplify]: Extracting #4: cost 349 inf + 23822 65.220 * * [simplify]: Extracting #5: cost 211 inf + 78498 65.267 * * [simplify]: Extracting #6: cost 13 inf + 162504 65.341 * * [simplify]: Extracting #7: cost 0 inf + 165480 65.413 * * [simplify]: Extracting #8: cost 0 inf + 165120 65.484 * [simplify]: Simplified to (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2)))))) 65.484 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (exp (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2))))))) 1)) -2) (cos (/ K 2))) J)) 65.484 * * * * [progress]: [ 55 / 142 ] simplifiying candidate # 65.484 * [simplify]: Simplifying (+ (- (log U) (log (* 2 (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J))))) 65.485 * * [simplify]: iters left: 6 (16 enodes) 65.494 * * [simplify]: iters left: 5 (63 enodes) 65.516 * * [simplify]: iters left: 4 (131 enodes) 65.572 * * [simplify]: iters left: 3 (400 enodes) 65.934 * * [simplify]: Extracting #0: cost 1 inf + 0 65.934 * * [simplify]: Extracting #1: cost 73 inf + 0 65.936 * * [simplify]: Extracting #2: cost 360 inf + 0 65.940 * * [simplify]: Extracting #3: cost 368 inf + 1570 65.946 * * [simplify]: Extracting #4: cost 284 inf + 22316 65.969 * * [simplify]: Extracting #5: cost 181 inf + 60735 65.994 * * [simplify]: Extracting #6: cost 16 inf + 128257 66.034 * * [simplify]: Extracting #7: cost 0 inf + 132824 66.084 * * [simplify]: Extracting #8: cost 0 inf + 132754 66.123 * [simplify]: Simplified to (+ (- (log U) (log (* (* (cos (/ K 2)) J) 2))) (- (log U) (log (* (* (cos (/ K 2)) J) 2)))) 66.123 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (exp (+ (- (log U) (log (* (* (cos (/ K 2)) J) 2))) (- (log U) (log (* (* (cos (/ K 2)) J) 2))))) 1)) -2) (cos (/ K 2))) J)) 66.123 * * * * [progress]: [ 56 / 142 ] simplifiying candidate # 66.123 * [simplify]: Simplifying (+ (- (log U) (log (* 2 (* (cos (/ K 2)) J)))) (- (log U) (log (* 2 (* (cos (/ K 2)) J))))) 66.123 * * [simplify]: iters left: 6 (12 enodes) 66.127 * * [simplify]: iters left: 5 (49 enodes) 66.138 * * [simplify]: iters left: 4 (96 enodes) 66.174 * * [simplify]: iters left: 3 (241 enodes) 66.284 * * [simplify]: Extracting #0: cost 1 inf + 0 66.284 * * [simplify]: Extracting #1: cost 49 inf + 0 66.285 * * [simplify]: Extracting #2: cost 251 inf + 0 66.286 * * [simplify]: Extracting #3: cost 249 inf + 1539 66.288 * * [simplify]: Extracting #4: cost 212 inf + 9334 66.289 * * [simplify]: Extracting #5: cost 194 inf + 13677 66.292 * * [simplify]: Extracting #6: cost 164 inf + 24866 66.308 * * [simplify]: Extracting #7: cost 45 inf + 75345 66.329 * * [simplify]: Extracting #8: cost 2 inf + 93245 66.351 * * [simplify]: Extracting #9: cost 0 inf + 93841 66.373 * [simplify]: Simplified to (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2)))))) 66.373 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (exp (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2))))))) 1)) -2) (cos (/ K 2))) J)) 66.373 * * * * [progress]: [ 57 / 142 ] simplifiying candidate # 66.373 * [simplify]: Simplifying (+ (- (log U) (log (* 2 (* (cos (/ K 2)) J)))) (log (/ U (* 2 (* (cos (/ K 2)) J))))) 66.373 * * [simplify]: iters left: 6 (14 enodes) 66.377 * * [simplify]: iters left: 5 (54 enodes) 66.386 * * [simplify]: iters left: 4 (109 enodes) 66.419 * * [simplify]: iters left: 3 (265 enodes) 66.562 * * [simplify]: Extracting #0: cost 1 inf + 0 66.563 * * [simplify]: Extracting #1: cost 49 inf + 0 66.564 * * [simplify]: Extracting #2: cost 242 inf + 0 66.566 * * [simplify]: Extracting #3: cost 259 inf + 523 66.569 * * [simplify]: Extracting #4: cost 212 inf + 10345 66.576 * * [simplify]: Extracting #5: cost 159 inf + 24153 66.602 * * [simplify]: Extracting #6: cost 18 inf + 79713 66.635 * * [simplify]: Extracting #7: cost 0 inf + 86997 66.669 * [simplify]: Simplified to (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J)))) 66.669 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (exp (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) -2) (cos (/ K 2))) J)) 66.669 * * * * [progress]: [ 58 / 142 ] simplifiying candidate # 66.669 * [simplify]: Simplifying (+ (log (/ U (* 2 (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J))))) 66.670 * * [simplify]: iters left: 6 (18 enodes) 66.679 * * [simplify]: iters left: 5 (73 enodes) 66.698 * * [simplify]: iters left: 4 (156 enodes) 66.736 * * [simplify]: iters left: 3 (366 enodes) 66.964 * * [simplify]: Extracting #0: cost 1 inf + 0 66.964 * * [simplify]: Extracting #1: cost 81 inf + 0 66.965 * * [simplify]: Extracting #2: cost 315 inf + 0 66.971 * * [simplify]: Extracting #3: cost 336 inf + 1721 66.976 * * [simplify]: Extracting #4: cost 282 inf + 12964 66.984 * * [simplify]: Extracting #5: cost 226 inf + 27763 67.014 * * [simplify]: Extracting #6: cost 44 inf + 102658 67.054 * * [simplify]: Extracting #7: cost 0 inf + 118994 67.093 * * [simplify]: Extracting #8: cost 0 inf + 118854 67.137 * [simplify]: Simplified to (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J)))) 67.137 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (exp (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) -2) (cos (/ K 2))) J)) 67.137 * * * * [progress]: [ 59 / 142 ] simplifiying candidate # 67.137 * [simplify]: Simplifying (+ (log (/ U (* 2 (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J))))) 67.137 * * [simplify]: iters left: 6 (16 enodes) 67.146 * * [simplify]: iters left: 5 (67 enodes) 67.169 * * [simplify]: iters left: 4 (134 enodes) 67.197 * * [simplify]: iters left: 3 (341 enodes) 67.390 * * [simplify]: Extracting #0: cost 1 inf + 0 67.390 * * [simplify]: Extracting #1: cost 69 inf + 0 67.392 * * [simplify]: Extracting #2: cost 344 inf + 0 67.396 * * [simplify]: Extracting #3: cost 365 inf + 1843 67.401 * * [simplify]: Extracting #4: cost 320 inf + 11850 67.424 * * [simplify]: Extracting #5: cost 166 inf + 66434 67.458 * * [simplify]: Extracting #6: cost 7 inf + 128209 67.500 * * [simplify]: Extracting #7: cost 0 inf + 129716 67.536 * * [simplify]: Extracting #8: cost 0 inf + 129576 67.568 * [simplify]: Simplified to (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J)))) 67.568 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (exp (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) -2) (cos (/ K 2))) J)) 67.568 * * * * [progress]: [ 60 / 142 ] simplifiying candidate # 67.568 * [simplify]: Simplifying (+ (log (/ U (* 2 (* (cos (/ K 2)) J)))) (- (log U) (log (* 2 (* (cos (/ K 2)) J))))) 67.569 * * [simplify]: iters left: 6 (14 enodes) 67.575 * * [simplify]: iters left: 5 (54 enodes) 67.584 * * [simplify]: iters left: 4 (106 enodes) 67.602 * * [simplify]: iters left: 3 (231 enodes) 67.702 * * [simplify]: Extracting #0: cost 1 inf + 0 67.702 * * [simplify]: Extracting #1: cost 64 inf + 0 67.703 * * [simplify]: Extracting #2: cost 246 inf + 0 67.705 * * [simplify]: Extracting #3: cost 259 inf + 560 67.708 * * [simplify]: Extracting #4: cost 218 inf + 8763 67.715 * * [simplify]: Extracting #5: cost 148 inf + 29077 67.738 * * [simplify]: Extracting #6: cost 27 inf + 76331 67.768 * * [simplify]: Extracting #7: cost 0 inf + 87431 67.798 * * [simplify]: Extracting #8: cost 0 inf + 87391 67.828 * [simplify]: Simplified to (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J)))) 67.828 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (exp (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) -2) (cos (/ K 2))) J)) 67.829 * * * * [progress]: [ 61 / 142 ] simplifiying candidate # 67.829 * [simplify]: Simplifying (+ (log (/ U (* 2 (* (cos (/ K 2)) J)))) (log (/ U (* 2 (* (cos (/ K 2)) J))))) 67.829 * * [simplify]: iters left: 6 (11 enodes) 67.835 * * [simplify]: iters left: 5 (42 enodes) 67.850 * * [simplify]: iters left: 4 (79 enodes) 67.876 * * [simplify]: iters left: 3 (176 enodes) 67.950 * * [simplify]: iters left: 2 (491 enodes) 68.469 * * [simplify]: Extracting #0: cost 1 inf + 0 68.470 * * [simplify]: Extracting #1: cost 79 inf + 0 68.473 * * [simplify]: Extracting #2: cost 424 inf + 0 68.477 * * [simplify]: Extracting #3: cost 434 inf + 1374 68.484 * * [simplify]: Extracting #4: cost 365 inf + 15165 68.502 * * [simplify]: Extracting #5: cost 222 inf + 60738 68.534 * * [simplify]: Extracting #6: cost 20 inf + 142135 68.603 * * [simplify]: Extracting #7: cost 0 inf + 147485 68.674 * * [simplify]: Extracting #8: cost 0 inf + 147405 68.743 * [simplify]: Simplified to (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J)))) 68.743 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (exp (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) -2) (cos (/ K 2))) J)) 68.744 * * * * [progress]: [ 62 / 142 ] simplifiying candidate # 68.744 * * * * [progress]: [ 63 / 142 ] simplifiying candidate # 68.744 * * * * [progress]: [ 64 / 142 ] simplifiying candidate # 68.744 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J))))) 68.744 * * [simplify]: iters left: 6 (18 enodes) 68.755 * * [simplify]: iters left: 5 (81 enodes) 68.795 * * [simplify]: iters left: 4 (297 enodes) 69.323 * * [simplify]: Extracting #0: cost 1 inf + 0 69.323 * * [simplify]: Extracting #1: cost 317 inf + 0 69.327 * * [simplify]: Extracting #2: cost 1360 inf + 1186 69.336 * * [simplify]: Extracting #3: cost 1159 inf + 28787 69.350 * * [simplify]: Extracting #4: cost 1067 inf + 46078 69.378 * * [simplify]: Extracting #5: cost 1058 inf + 48222 69.415 * * [simplify]: Extracting #6: cost 700 inf + 217292 69.559 * * [simplify]: Extracting #7: cost 50 inf + 478678 69.728 * * [simplify]: Extracting #8: cost 0 inf + 450895 69.898 * * [simplify]: Extracting #9: cost 0 inf + 450215 70.094 * [simplify]: Simplified to (* (/ (/ (* U U) (/ 8 U)) (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))))) (/ (/ (* U U) (/ 8 U)) (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))))) 70.094 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (cbrt (* (/ (/ (* U U) (/ 8 U)) (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))))) (/ (/ (* U U) (/ 8 U)) (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))))))) 1)) -2) (cos (/ K 2))) J)) 70.095 * * * * [progress]: [ 65 / 142 ] simplifiying candidate # 70.095 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))))) 70.095 * * [simplify]: iters left: 6 (23 enodes) 70.111 * * [simplify]: iters left: 5 (116 enodes) 70.173 * * [simplify]: iters left: 4 (394 enodes) 71.279 * * [simplify]: Extracting #0: cost 1 inf + 0 71.280 * * [simplify]: Extracting #1: cost 305 inf + 0 71.289 * * [simplify]: Extracting #2: cost 1687 inf + 1266 71.302 * * [simplify]: Extracting #3: cost 1524 inf + 28963 71.320 * * [simplify]: Extracting #4: cost 1425 inf + 42935 71.370 * * [simplify]: Extracting #5: cost 1007 inf + 187192 71.545 * * [simplify]: Extracting #6: cost 91 inf + 536933 71.728 * * [simplify]: Extracting #7: cost 0 inf + 555816 71.938 * * [simplify]: Extracting #8: cost 0 inf + 555016 72.162 * [simplify]: Simplified to (* (/ (/ (/ (* U U) (/ 8 U)) (* J (cos (/ K 2)))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) (/ (/ (/ (* U U) (/ 8 U)) (* J (cos (/ K 2)))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))))) 72.162 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (cbrt (* (/ (/ (/ (* U U) (/ 8 U)) (* J (cos (/ K 2)))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) (/ (/ (/ (* U U) (/ 8 U)) (* J (cos (/ K 2)))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))))) 1)) -2) (cos (/ K 2))) J)) 72.162 * * * * [progress]: [ 66 / 142 ] simplifiying candidate # 72.163 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J)))) (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))) 72.163 * * [simplify]: iters left: 6 (23 enodes) 72.171 * * [simplify]: iters left: 5 (117 enodes) 72.205 * * [simplify]: Extracting #0: cost 1 inf + 0 72.206 * * [simplify]: Extracting #1: cost 57 inf + 0 72.207 * * [simplify]: Extracting #2: cost 198 inf + 1 72.208 * * [simplify]: Extracting #3: cost 196 inf + 1963 72.211 * * [simplify]: Extracting #4: cost 175 inf + 4048 72.216 * * [simplify]: Extracting #5: cost 138 inf + 14158 72.232 * * [simplify]: Extracting #6: cost 38 inf + 45666 72.259 * * [simplify]: Extracting #7: cost 0 inf + 59703 72.283 * * [simplify]: Extracting #8: cost 0 inf + 58861 72.307 * [simplify]: Simplified to (* (/ (/ (* U (* U U)) 8) (* (* (cos (/ K 2)) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) J)) (/ (/ (* U (* U U)) (* (cos (/ K 2)) (* J 2))) (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2))))) 72.307 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (cbrt (* (/ (/ (* U (* U U)) 8) (* (* (cos (/ K 2)) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) J)) (/ (/ (* U (* U U)) (* (cos (/ K 2)) (* J 2))) (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2)))))) 1)) -2) (cos (/ K 2))) J)) 72.308 * * * * [progress]: [ 67 / 142 ] simplifiying candidate # 72.308 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J))))) 72.308 * * [simplify]: iters left: 6 (23 enodes) 72.323 * * [simplify]: iters left: 5 (110 enodes) 72.368 * * [simplify]: iters left: 4 (408 enodes) 73.058 * * [simplify]: Extracting #0: cost 1 inf + 0 73.059 * * [simplify]: Extracting #1: cost 349 inf + 0 73.066 * * [simplify]: Extracting #2: cost 1362 inf + 253 73.079 * * [simplify]: Extracting #3: cost 1372 inf + 8215 73.100 * * [simplify]: Extracting #4: cost 1293 inf + 19441 73.148 * * [simplify]: Extracting #5: cost 942 inf + 149702 73.299 * * [simplify]: Extracting #6: cost 118 inf + 513336 73.454 * * [simplify]: Extracting #7: cost 0 inf + 530464 73.630 * * [simplify]: Extracting #8: cost 0 inf + 526424 73.810 * * [simplify]: Extracting #9: cost 0 inf + 526264 73.993 * [simplify]: Simplified to (/ (* (* U (* U U)) (/ (* (/ U (* (* (cos (/ K 2)) 2) J)) (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J)))) 8)) (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))))) 73.993 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (cbrt (/ (* (* U (* U U)) (/ (* (/ U (* (* (cos (/ K 2)) 2) J)) (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J)))) 8)) (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))))) 1)) -2) (cos (/ K 2))) J)) 73.993 * * * * [progress]: [ 68 / 142 ] simplifiying candidate # 73.994 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J))))) 73.994 * * [simplify]: iters left: 6 (23 enodes) 74.009 * * [simplify]: iters left: 5 (116 enodes) 74.052 * * [simplify]: iters left: 4 (400 enodes) 75.226 * * [simplify]: Extracting #0: cost 1 inf + 0 75.226 * * [simplify]: Extracting #1: cost 338 inf + 0 75.231 * * [simplify]: Extracting #2: cost 1775 inf + 1305 75.244 * * [simplify]: Extracting #3: cost 1631 inf + 26639 75.268 * * [simplify]: Extracting #4: cost 1492 inf + 45349 75.326 * * [simplify]: Extracting #5: cost 991 inf + 264110 75.557 * * [simplify]: Extracting #6: cost 19 inf + 641565 75.800 * * [simplify]: Extracting #7: cost 0 inf + 581792 76.023 * * [simplify]: Extracting #8: cost 0 inf + 581352 76.244 * [simplify]: Simplified to (* (/ (* U U) (/ (* (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) 8) U)) (/ (* U U) (/ (* (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) 8) U))) 76.244 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (cbrt (* (/ (* U U) (/ (* (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) 8) U)) (/ (* U U) (/ (* (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) 8) U)))) 1)) -2) (cos (/ K 2))) J)) 76.244 * * * * [progress]: [ 69 / 142 ] simplifiying candidate # 76.245 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))))) 76.245 * * [simplify]: iters left: 6 (16 enodes) 76.256 * * [simplify]: iters left: 5 (79 enodes) 76.295 * * [simplify]: iters left: 4 (300 enodes) 76.823 * * [simplify]: Extracting #0: cost 1 inf + 0 76.824 * * [simplify]: Extracting #1: cost 276 inf + 0 76.827 * * [simplify]: Extracting #2: cost 1222 inf + 1113 76.834 * * [simplify]: Extracting #3: cost 1095 inf + 16811 76.844 * * [simplify]: Extracting #4: cost 1061 inf + 20800 76.908 * * [simplify]: Extracting #5: cost 657 inf + 183765 77.057 * * [simplify]: Extracting #6: cost 22 inf + 410882 77.229 * * [simplify]: Extracting #7: cost 0 inf + 405405 77.375 * * [simplify]: Extracting #8: cost 0 inf + 405114 77.566 * [simplify]: Simplified to (* (/ (* U (* U U)) (* (* J (cos (/ K 2))) (* (* 8 (* J (cos (/ K 2)))) (* J (cos (/ K 2)))))) (/ (* U (* U U)) (* (* J (cos (/ K 2))) (* (* 8 (* J (cos (/ K 2)))) (* J (cos (/ K 2))))))) 77.566 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (cbrt (* (/ (* U (* U U)) (* (* J (cos (/ K 2))) (* (* 8 (* J (cos (/ K 2)))) (* J (cos (/ K 2)))))) (/ (* U (* U U)) (* (* J (cos (/ K 2))) (* (* 8 (* J (cos (/ K 2)))) (* J (cos (/ K 2)))))))) 1)) -2) (cos (/ K 2))) J)) 77.566 * * * * [progress]: [ 70 / 142 ] simplifiying candidate # 77.567 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))) 77.567 * * [simplify]: iters left: 6 (20 enodes) 77.579 * * [simplify]: iters left: 5 (110 enodes) 77.623 * * [simplify]: iters left: 4 (486 enodes) 78.579 * * [simplify]: Extracting #0: cost 1 inf + 0 78.580 * * [simplify]: Extracting #1: cost 357 inf + 0 78.590 * * [simplify]: Extracting #2: cost 1671 inf + 4 78.607 * * [simplify]: Extracting #3: cost 1668 inf + 6826 78.632 * * [simplify]: Extracting #4: cost 1547 inf + 21334 78.690 * * [simplify]: Extracting #5: cost 1187 inf + 145252 78.904 * * [simplify]: Extracting #6: cost 120 inf + 563013 79.111 * * [simplify]: Extracting #7: cost 0 inf + 585634 79.313 * * [simplify]: Extracting #8: cost 0 inf + 584467 79.531 * [simplify]: Simplified to (* (* (/ (/ 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)))))) 79.531 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (cbrt (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) 1)) -2) (cos (/ K 2))) J)) 79.532 * * * * [progress]: [ 71 / 142 ] simplifiying candidate # 79.532 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J))))) 79.532 * * [simplify]: iters left: 6 (20 enodes) 79.545 * * [simplify]: iters left: 5 (104 enodes) 79.599 * * [simplify]: iters left: 4 (410 enodes) 80.227 * * [simplify]: Extracting #0: cost 1 inf + 0 80.228 * * [simplify]: Extracting #1: cost 320 inf + 0 80.231 * * [simplify]: Extracting #2: cost 1273 inf + 422 80.242 * * [simplify]: Extracting #3: cost 1300 inf + 5654 80.256 * * [simplify]: Extracting #4: cost 1233 inf + 13684 80.294 * * [simplify]: Extracting #5: cost 817 inf + 180631 80.439 * * [simplify]: Extracting #6: cost 86 inf + 457006 80.630 * * [simplify]: Extracting #7: cost 0 inf + 479132 80.799 * * [simplify]: Extracting #8: cost 0 inf + 478812 81.003 * [simplify]: Simplified to (* (* (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (/ U 4)) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))))) (/ (/ U 2) (* J (cos (/ K 2))))) 81.003 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (cbrt (* (* (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (/ U 4)) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))))) (/ (/ U 2) (* J (cos (/ K 2)))))) 1)) -2) (cos (/ K 2))) J)) 81.003 * * * * [progress]: [ 72 / 142 ] simplifiying candidate # 81.004 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J))))) 81.004 * * [simplify]: iters left: 6 (23 enodes) 81.012 * * [simplify]: iters left: 5 (117 enodes) 81.063 * * [simplify]: Extracting #0: cost 1 inf + 0 81.063 * * [simplify]: Extracting #1: cost 57 inf + 0 81.063 * * [simplify]: Extracting #2: cost 198 inf + 1 81.064 * * [simplify]: Extracting #3: cost 195 inf + 2086 81.065 * * [simplify]: Extracting #4: cost 174 inf + 4290 81.069 * * [simplify]: Extracting #5: cost 116 inf + 19820 81.088 * * [simplify]: Extracting #6: cost 12 inf + 57316 81.113 * * [simplify]: Extracting #7: cost 0 inf + 58322 81.161 * [simplify]: Simplified to (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))) (/ (/ (* U (* U U)) 8) (* (* (cos (/ K 2)) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) J))) 81.162 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (cbrt (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))) (/ (/ (* U (* U U)) 8) (* (* (cos (/ K 2)) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) J)))) 1)) -2) (cos (/ K 2))) J)) 81.162 * * * * [progress]: [ 73 / 142 ] simplifiying candidate # 81.162 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))))) 81.163 * * [simplify]: iters left: 6 (20 enodes) 81.176 * * [simplify]: iters left: 5 (110 enodes) 81.239 * * [simplify]: iters left: 4 (486 enodes) 82.562 * * [simplify]: Extracting #0: cost 1 inf + 0 82.562 * * [simplify]: Extracting #1: cost 354 inf + 0 82.568 * * [simplify]: Extracting #2: cost 1732 inf + 947 82.580 * * [simplify]: Extracting #3: cost 1677 inf + 14777 82.592 * * [simplify]: Extracting #4: cost 1558 inf + 34201 82.712 * * [simplify]: Extracting #5: cost 538 inf + 431020 82.954 * * [simplify]: Extracting #6: cost 7 inf + 614791 83.199 * * [simplify]: Extracting #7: cost 0 inf + 600444 83.443 * * [simplify]: Extracting #8: cost 0 inf + 599228 83.641 * * [simplify]: Extracting #9: cost 0 inf + 599108 83.904 * [simplify]: Simplified to (* (* (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))) (/ U (* (* 2 (cos (/ K 2))) J))) (* (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))) (/ U (* (* 2 (cos (/ K 2))) J)))) 83.905 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (cbrt (* (* (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))) (/ U (* (* 2 (cos (/ K 2))) J))) (* (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))) (/ U (* (* 2 (cos (/ K 2))) J))))) 1)) -2) (cos (/ K 2))) J)) 83.905 * * * * [progress]: [ 74 / 142 ] simplifiying candidate # 83.905 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))) 83.906 * * [simplify]: iters left: 6 (14 enodes) 83.914 * * [simplify]: iters left: 5 (69 enodes) 83.948 * * [simplify]: iters left: 4 (284 enodes) 84.511 * * [simplify]: Extracting #0: cost 1 inf + 0 84.512 * * [simplify]: Extracting #1: cost 264 inf + 0 84.521 * * [simplify]: Extracting #2: cost 1048 inf + 621 84.527 * * [simplify]: Extracting #3: cost 1004 inf + 7706 84.534 * * [simplify]: Extracting #4: cost 992 inf + 8857 84.571 * * [simplify]: Extracting #5: cost 693 inf + 102376 84.707 * * [simplify]: Extracting #6: cost 68 inf + 348361 84.869 * * [simplify]: Extracting #7: cost 0 inf + 362304 85.011 * * [simplify]: Extracting #8: cost 0 inf + 360357 85.180 * [simplify]: Simplified to (* (* (/ (/ 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))))))) 85.180 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (cbrt (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) 1)) -2) (cos (/ K 2))) J)) 85.180 * * * * [progress]: [ 75 / 142 ] simplifiying candidate # 85.181 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J))))) 85.181 * * [simplify]: iters left: 6 (17 enodes) 85.191 * * [simplify]: iters left: 5 (87 enodes) 85.215 * * [simplify]: iters left: 4 (347 enodes) 85.942 * * [simplify]: Extracting #0: cost 1 inf + 0 85.943 * * [simplify]: Extracting #1: cost 232 inf + 0 85.950 * * [simplify]: Extracting #2: cost 1150 inf + 375 85.962 * * [simplify]: Extracting #3: cost 1098 inf + 7458 85.971 * * [simplify]: Extracting #4: cost 1069 inf + 11014 85.999 * * [simplify]: Extracting #5: cost 711 inf + 123503 86.129 * * [simplify]: Extracting #6: cost 36 inf + 371223 86.280 * * [simplify]: Extracting #7: cost 0 inf + 378721 86.419 * * [simplify]: Extracting #8: cost 0 inf + 378639 86.599 * [simplify]: Simplified to (* (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) (* (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))))) 86.599 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (cbrt (* (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) (* (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2)))))) 1)) -2) (cos (/ K 2))) J)) 86.599 * * * * [progress]: [ 76 / 142 ] simplifiying candidate # 86.600 * [simplify]: Simplifying (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J))))) 86.600 * * [simplify]: iters left: 6 (23 enodes) 86.617 * * [simplify]: iters left: 5 (110 enodes) 86.670 * * [simplify]: iters left: 4 (410 enodes) 87.337 * * [simplify]: Extracting #0: cost 1 inf + 0 87.338 * * [simplify]: Extracting #1: cost 359 inf + 0 87.346 * * [simplify]: Extracting #2: cost 1287 inf + 419 87.360 * * [simplify]: Extracting #3: cost 1261 inf + 9929 87.379 * * [simplify]: Extracting #4: cost 1180 inf + 21019 87.420 * * [simplify]: Extracting #5: cost 735 inf + 199153 87.542 * * [simplify]: Extracting #6: cost 8 inf + 499942 87.704 * * [simplify]: Extracting #7: cost 0 inf + 474987 87.869 * * [simplify]: Extracting #8: cost 0 inf + 473616 88.021 * [simplify]: Simplified to (* (/ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) 8) (/ (* (* U U) U) (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))))) 88.021 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (cbrt (* (/ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) 8) (/ (* (* U U) U) (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))))) 1)) -2) (cos (/ K 2))) J)) 88.021 * * * * [progress]: [ 77 / 142 ] simplifiying candidate # 88.021 * [simplify]: Simplifying (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))))) 88.022 * * [simplify]: iters left: 6 (20 enodes) 88.029 * * [simplify]: iters left: 5 (104 enodes) 88.055 * * [simplify]: iters left: 4 (410 enodes) 88.638 * * [simplify]: Extracting #0: cost 1 inf + 0 88.639 * * [simplify]: Extracting #1: cost 333 inf + 0 88.643 * * [simplify]: Extracting #2: cost 1241 inf + 215 88.649 * * [simplify]: Extracting #3: cost 1232 inf + 5451 88.661 * * [simplify]: Extracting #4: cost 1158 inf + 14257 88.725 * * [simplify]: Extracting #5: cost 643 inf + 213569 88.872 * * [simplify]: Extracting #6: cost 28 inf + 452599 89.069 * * [simplify]: Extracting #7: cost 0 inf + 451462 89.242 * * [simplify]: Extracting #8: cost 0 inf + 451384 89.414 * [simplify]: Simplified to (* (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ U 4)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ U (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))))) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) 89.414 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (cbrt (* (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ U 4)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ U (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))))) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) 89.415 * * * * [progress]: [ 78 / 142 ] simplifiying candidate # 89.415 * [simplify]: Simplifying (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))) 89.415 * * [simplify]: iters left: 6 (17 enodes) 89.425 * * [simplify]: iters left: 5 (87 enodes) 89.453 * * [simplify]: iters left: 4 (343 enodes) 89.978 * * [simplify]: Extracting #0: cost 1 inf + 0 89.978 * * [simplify]: Extracting #1: cost 233 inf + 0 89.982 * * [simplify]: Extracting #2: cost 1034 inf + 459 89.987 * * [simplify]: Extracting #3: cost 981 inf + 8158 89.993 * * [simplify]: Extracting #4: cost 963 inf + 10234 90.022 * * [simplify]: Extracting #5: cost 665 inf + 100602 90.107 * * [simplify]: Extracting #6: cost 35 inf + 335827 90.239 * * [simplify]: Extracting #7: cost 0 inf + 343092 90.357 * * [simplify]: Extracting #8: cost 0 inf + 342649 90.539 * [simplify]: Simplified to (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 90.540 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (cbrt (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) 1)) -2) (cos (/ K 2))) J)) 90.540 * * * * [progress]: [ 79 / 142 ] simplifiying candidate # 90.540 * [simplify]: Simplifying (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J))))) 90.541 * * [simplify]: iters left: 6 (12 enodes) 90.547 * * [simplify]: iters left: 5 (55 enodes) 90.571 * * [simplify]: iters left: 4 (179 enodes) 90.744 * * [simplify]: Extracting #0: cost 1 inf + 0 90.744 * * [simplify]: Extracting #1: cost 111 inf + 0 90.746 * * [simplify]: Extracting #2: cost 476 inf + 4 90.748 * * [simplify]: Extracting #3: cost 509 inf + 1174 90.766 * * [simplify]: Extracting #4: cost 279 inf + 68658 90.821 * * [simplify]: Extracting #5: cost 18 inf + 157912 90.873 * * [simplify]: Extracting #6: cost 0 inf + 164075 90.925 * * [simplify]: Extracting #7: cost 0 inf + 164036 90.979 * [simplify]: Simplified to (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 90.979 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (cbrt (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) -2) (cos (/ K 2))) J)) 90.979 * * * * [progress]: [ 80 / 142 ] simplifiying candidate # 90.979 * * * * [progress]: [ 81 / 142 ] simplifiying candidate # 90.979 * * * * [progress]: [ 82 / 142 ] simplifiying candidate # 90.979 * * * * [progress]: [ 83 / 142 ] simplifiying candidate # 90.980 * [simplify]: Simplifying (* U U) 90.980 * * [simplify]: iters left: 2 (2 enodes) 90.981 * * [simplify]: iters left: 1 (6 enodes) 90.982 * * [simplify]: Extracting #0: cost 1 inf + 0 90.982 * * [simplify]: Extracting #1: cost 3 inf + 0 90.983 * * [simplify]: Extracting #2: cost 2 inf + 1 90.983 * * [simplify]: Extracting #3: cost 0 inf + 83 90.983 * [simplify]: Simplified to (* U U) 90.983 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (/ (* U U) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) 90.983 * [simplify]: Simplifying (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) 90.983 * * [simplify]: iters left: 6 (8 enodes) 90.988 * * [simplify]: iters left: 5 (36 enodes) 91.002 * * [simplify]: iters left: 4 (87 enodes) 91.041 * * [simplify]: iters left: 3 (207 enodes) 91.101 * * [simplify]: iters left: 2 (331 enodes) 91.176 * * [simplify]: iters left: 1 (343 enodes) 91.255 * * [simplify]: Extracting #0: cost 1 inf + 0 91.256 * * [simplify]: Extracting #1: cost 27 inf + 0 91.256 * * [simplify]: Extracting #2: cost 45 inf + 126 91.256 * * [simplify]: Extracting #3: cost 41 inf + 497 91.256 * * [simplify]: Extracting #4: cost 38 inf + 582 91.258 * * [simplify]: Extracting #5: cost 14 inf + 4770 91.260 * * [simplify]: Extracting #6: cost 0 inf + 7288 91.264 * * [simplify]: Extracting #7: cost 0 inf + 7248 91.268 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) 2) J) (* (* (cos (/ K 2)) 2) J)) 91.268 * [simplify]: Simplified (2 1 1 1 1 1 2) to (λ (J K U) (* (* (* (sqrt (+ (/ (* U U) (* (* (* (cos (/ K 2)) 2) J) (* (* (cos (/ K 2)) 2) J))) 1)) -2) (cos (/ K 2))) J)) 91.268 * * * * [progress]: [ 84 / 142 ] simplifiying candidate # 91.268 * * * * [progress]: [ 85 / 142 ] simplifiying candidate # 91.269 * [simplify]: Simplifying (* (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J))))) (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))))) 91.269 * * [simplify]: iters left: 6 (12 enodes) 91.274 * * [simplify]: iters left: 5 (46 enodes) 91.288 * * [simplify]: iters left: 4 (68 enodes) 91.300 * * [simplify]: iters left: 3 (95 enodes) 91.316 * * [simplify]: iters left: 2 (144 enodes) 91.350 * * [simplify]: iters left: 1 (288 enodes) 91.435 * * [simplify]: Extracting #0: cost 1 inf + 0 91.435 * * [simplify]: Extracting #1: cost 71 inf + 0 91.436 * * [simplify]: Extracting #2: cost 140 inf + 46 91.436 * * [simplify]: Extracting #3: cost 128 inf + 636 91.437 * * [simplify]: Extracting #4: cost 111 inf + 2561 91.438 * * [simplify]: Extracting #5: cost 99 inf + 4759 91.444 * * [simplify]: Extracting #6: cost 26 inf + 35874 91.459 * * [simplify]: Extracting #7: cost 0 inf + 49849 91.474 * [simplify]: Simplified to (* (cbrt (/ (/ (/ U J) (cos (/ K 2))) 2)) (/ (/ (/ U J) (cos (/ K 2))) 2)) 91.474 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (* (* (cbrt (/ (/ (/ U J) (cos (/ K 2))) 2)) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (cos (/ K 2))) J)) 91.474 * [simplify]: Simplifying (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J))))) 91.475 * * [simplify]: iters left: 6 (11 enodes) 91.479 * * [simplify]: iters left: 5 (39 enodes) 91.490 * * [simplify]: iters left: 4 (57 enodes) 91.505 * * [simplify]: iters left: 3 (74 enodes) 91.521 * * [simplify]: iters left: 2 (79 enodes) 91.540 * * [simplify]: Extracting #0: cost 1 inf + 0 91.540 * * [simplify]: Extracting #1: cost 3 inf + 0 91.540 * * [simplify]: Extracting #2: cost 5 inf + 0 91.540 * * [simplify]: Extracting #3: cost 16 inf + 0 91.540 * * [simplify]: Extracting #4: cost 25 inf + 3 91.540 * * [simplify]: Extracting #5: cost 28 inf + 129 91.541 * * [simplify]: Extracting #6: cost 13 inf + 1889 91.542 * * [simplify]: Extracting #7: cost 3 inf + 3901 91.544 * * [simplify]: Extracting #8: cost 0 inf + 4410 91.545 * [simplify]: Simplified to (* (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))) (cbrt (/ (/ U (* J 2)) (cos (/ K 2))))) 91.545 * [simplify]: Simplified (2 1 1 1 1 1 2) to (λ (J K U) (* (* (* (sqrt (+ (* (* (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J))))) (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))) (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))))) 1)) -2) (cos (/ K 2))) J)) 91.548 * * * * [progress]: [ 86 / 142 ] simplifiying candidate # 91.548 * [simplify]: Simplifying (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) 91.548 * * [simplify]: iters left: 6 (11 enodes) 91.553 * * [simplify]: iters left: 5 (37 enodes) 91.564 * * [simplify]: iters left: 4 (56 enodes) 91.580 * * [simplify]: iters left: 3 (73 enodes) 91.599 * * [simplify]: iters left: 2 (78 enodes) 91.618 * * [simplify]: Extracting #0: cost 1 inf + 0 91.618 * * [simplify]: Extracting #1: cost 13 inf + 0 91.618 * * [simplify]: Extracting #2: cost 23 inf + 3 91.618 * * [simplify]: Extracting #3: cost 26 inf + 129 91.619 * * [simplify]: Extracting #4: cost 16 inf + 851 91.620 * * [simplify]: Extracting #5: cost 3 inf + 3053 91.621 * * [simplify]: Extracting #6: cost 0 inf + 3642 91.623 * [simplify]: Simplified to (/ (/ U 2) (* (cos (/ K 2)) J)) 91.623 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (cos (/ K 2))) J)) 91.623 * [simplify]: Simplifying (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) 91.623 * * [simplify]: iters left: 6 (11 enodes) 91.629 * * [simplify]: iters left: 5 (37 enodes) 91.641 * * [simplify]: iters left: 4 (56 enodes) 91.657 * * [simplify]: iters left: 3 (73 enodes) 91.675 * * [simplify]: iters left: 2 (78 enodes) 91.691 * * [simplify]: Extracting #0: cost 1 inf + 0 91.691 * * [simplify]: Extracting #1: cost 13 inf + 0 91.691 * * [simplify]: Extracting #2: cost 23 inf + 3 91.692 * * [simplify]: Extracting #3: cost 26 inf + 129 91.692 * * [simplify]: Extracting #4: cost 16 inf + 851 91.692 * * [simplify]: Extracting #5: cost 3 inf + 3053 91.694 * * [simplify]: Extracting #6: cost 0 inf + 3642 91.695 * [simplify]: Simplified to (/ (/ U 2) (* (cos (/ K 2)) J)) 91.695 * [simplify]: Simplified (2 1 1 1 1 1 2) to (λ (J K U) (* (* (* (sqrt (+ (* (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) (/ (/ U 2) (* (cos (/ K 2)) J))) 1)) -2) (cos (/ K 2))) J)) 91.695 * * * * [progress]: [ 87 / 142 ] simplifiying candidate # 91.695 * [simplify]: Simplifying (* (/ (* (cbrt U) (cbrt U)) 2) (/ (* (cbrt U) (cbrt U)) 2)) 91.695 * * [simplify]: iters left: 6 (6 enodes) 91.698 * * [simplify]: iters left: 5 (24 enodes) 91.702 * * [simplify]: iters left: 4 (46 enodes) 91.711 * * [simplify]: iters left: 3 (94 enodes) 91.737 * * [simplify]: iters left: 2 (156 enodes) 91.789 * * [simplify]: iters left: 1 (177 enodes) 91.837 * * [simplify]: Extracting #0: cost 1 inf + 0 91.837 * * [simplify]: Extracting #1: cost 29 inf + 0 91.837 * * [simplify]: Extracting #2: cost 44 inf + 452 91.838 * * [simplify]: Extracting #3: cost 11 inf + 5196 91.839 * * [simplify]: Extracting #4: cost 0 inf + 6946 91.841 * [simplify]: Simplified to (/ (cbrt U) (/ 4 U)) 91.841 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (* (/ (cbrt U) (/ 4 U)) (* (/ (cbrt U) (* (cos (/ K 2)) J)) (/ (cbrt U) (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) 91.841 * [simplify]: Simplifying (* (/ (cbrt U) (* (cos (/ K 2)) J)) (/ (cbrt U) (* (cos (/ K 2)) J))) 91.841 * * [simplify]: iters left: 6 (10 enodes) 91.844 * * [simplify]: iters left: 5 (37 enodes) 91.850 * * [simplify]: iters left: 4 (67 enodes) 91.874 * * [simplify]: iters left: 3 (153 enodes) 91.924 * * [simplify]: iters left: 2 (259 enodes) 91.990 * * [simplify]: iters left: 1 (355 enodes) 92.109 * * [simplify]: Extracting #0: cost 1 inf + 0 92.109 * * [simplify]: Extracting #1: cost 36 inf + 0 92.110 * * [simplify]: Extracting #2: cost 69 inf + 1 92.110 * * [simplify]: Extracting #3: cost 67 inf + 287 92.111 * * [simplify]: Extracting #4: cost 53 inf + 1870 92.113 * * [simplify]: Extracting #5: cost 34 inf + 5949 92.120 * * [simplify]: Extracting #6: cost 5 inf + 13388 92.128 * * [simplify]: Extracting #7: cost 0 inf + 14706 92.135 * [simplify]: Simplified to (* (/ (/ (cbrt U) J) (cos (/ K 2))) (/ (/ (cbrt U) J) (cos (/ K 2)))) 92.135 * [simplify]: Simplified (2 1 1 1 1 1 2) to (λ (J K U) (* (* (* (sqrt (+ (* (/ (cbrt U) (/ 4 U)) (* (/ (/ (cbrt U) J) (cos (/ K 2))) (/ (/ (cbrt U) J) (cos (/ K 2))))) 1)) -2) (cos (/ K 2))) J)) 92.136 * * * * [progress]: [ 88 / 142 ] simplifiying candidate # 92.136 * [simplify]: Simplifying (* (/ (sqrt U) 2) (/ (sqrt U) 2)) 92.136 * * [simplify]: iters left: 5 (5 enodes) 92.139 * * [simplify]: iters left: 4 (19 enodes) 92.146 * * [simplify]: iters left: 3 (27 enodes) 92.154 * * [simplify]: iters left: 2 (34 enodes) 92.164 * * [simplify]: iters left: 1 (43 enodes) 92.177 * * [simplify]: Extracting #0: cost 1 inf + 0 92.177 * * [simplify]: Extracting #1: cost 11 inf + 0 92.177 * * [simplify]: Extracting #2: cost 14 inf + 3 92.177 * * [simplify]: Extracting #3: cost 5 inf + 539 92.178 * * [simplify]: Extracting #4: cost 1 inf + 827 92.178 * * [simplify]: Extracting #5: cost 0 inf + 909 92.178 * [simplify]: Simplified to (/ U 4) 92.179 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (* (/ U 4) (* (/ (sqrt U) (* (cos (/ K 2)) J)) (/ (sqrt U) (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) 92.179 * [simplify]: Simplifying (* (/ (sqrt U) (* (cos (/ K 2)) J)) (/ (sqrt U) (* (cos (/ K 2)) J))) 92.179 * * [simplify]: iters left: 6 (10 enodes) 92.184 * * [simplify]: iters left: 5 (37 enodes) 92.197 * * [simplify]: iters left: 4 (67 enodes) 92.211 * * [simplify]: iters left: 3 (146 enodes) 92.247 * * [simplify]: iters left: 2 (243 enodes) 92.318 * * [simplify]: iters left: 1 (344 enodes) 92.421 * * [simplify]: Extracting #0: cost 1 inf + 0 92.421 * * [simplify]: Extracting #1: cost 35 inf + 0 92.421 * * [simplify]: Extracting #2: cost 62 inf + 166 92.422 * * [simplify]: Extracting #3: cost 53 inf + 1108 92.423 * * [simplify]: Extracting #4: cost 32 inf + 4488 92.426 * * [simplify]: Extracting #5: cost 2 inf + 10914 92.430 * * [simplify]: Extracting #6: cost 0 inf + 11240 92.434 * [simplify]: Simplified to (/ U (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))) 92.434 * [simplify]: Simplified (2 1 1 1 1 1 2) to (λ (J K U) (* (* (* (sqrt (+ (* (/ U 4) (/ U (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) 92.435 * * * * [progress]: [ 89 / 142 ] simplifiying candidate # 92.435 * [simplify]: Simplifying (* (/ 1 2) (/ 1 2)) 92.435 * * [simplify]: iters left: 4 (4 enodes) 92.441 * * [simplify]: iters left: 3 (20 enodes) 92.446 * * [simplify]: iters left: 2 (22 enodes) 92.451 * * [simplify]: Extracting #0: cost 1 inf + 0 92.451 * * [simplify]: Extracting #1: cost 0 inf + 1 92.451 * [simplify]: Simplified to 1/4 92.451 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (* 1/4 (* (/ U (* (cos (/ K 2)) J)) (/ U (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) 92.451 * [simplify]: Simplifying (* (/ U (* (cos (/ K 2)) J)) (/ U (* (cos (/ K 2)) J))) 92.451 * * [simplify]: iters left: 6 (9 enodes) 92.454 * * [simplify]: iters left: 5 (34 enodes) 92.460 * * [simplify]: iters left: 4 (64 enodes) 92.473 * * [simplify]: iters left: 3 (148 enodes) 92.503 * * [simplify]: iters left: 2 (254 enodes) 92.557 * * [simplify]: iters left: 1 (351 enodes) 92.678 * * [simplify]: Extracting #0: cost 1 inf + 0 92.679 * * [simplify]: Extracting #1: cost 36 inf + 0 92.679 * * [simplify]: Extracting #2: cost 65 inf + 43 92.680 * * [simplify]: Extracting #3: cost 56 inf + 905 92.680 * * [simplify]: Extracting #4: cost 51 inf + 992 92.681 * * [simplify]: Extracting #5: cost 34 inf + 3846 92.685 * * [simplify]: Extracting #6: cost 1 inf + 10281 92.688 * * [simplify]: Extracting #7: cost 0 inf + 10464 92.691 * [simplify]: Simplified to (* (/ (/ U J) (cos (/ K 2))) (/ (/ U J) (cos (/ K 2)))) 92.691 * [simplify]: Simplified (2 1 1 1 1 1 2) to (λ (J K U) (* (* (* (sqrt (+ (* 1/4 (* (/ (/ U J) (cos (/ K 2))) (/ (/ U J) (cos (/ K 2))))) 1)) -2) (cos (/ K 2))) J)) 92.692 * * * * [progress]: [ 90 / 142 ] simplifiying candidate # 92.692 * [simplify]: Simplifying (* 1 1) 92.692 * * [simplify]: iters left: 2 (2 enodes) 92.693 * * [simplify]: iters left: 1 (6 enodes) 92.694 * * [simplify]: Extracting #0: cost 1 inf + 0 92.694 * * [simplify]: Extracting #1: cost 0 inf + 1 92.694 * [simplify]: Simplified to 1 92.694 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (* 1 (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (cos (/ K 2))) J)) 92.694 * [simplify]: Simplifying (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 92.694 * * [simplify]: iters left: 6 (10 enodes) 92.697 * * [simplify]: iters left: 5 (40 enodes) 92.710 * * [simplify]: iters left: 4 (91 enodes) 92.741 * * [simplify]: iters left: 3 (345 enodes) 93.022 * * [simplify]: Extracting #0: cost 1 inf + 0 93.022 * * [simplify]: Extracting #1: cost 119 inf + 0 93.024 * * [simplify]: Extracting #2: cost 236 inf + 45 93.027 * * [simplify]: Extracting #3: cost 207 inf + 2474 93.038 * * [simplify]: Extracting #4: cost 104 inf + 22392 93.064 * * [simplify]: Extracting #5: cost 6 inf + 45410 93.094 * * [simplify]: Extracting #6: cost 0 inf + 46788 93.125 * * [simplify]: Extracting #7: cost 0 inf + 46787 93.154 * [simplify]: Simplified to (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) 93.154 * [simplify]: Simplified (2 1 1 1 1 1 2) to (λ (J K U) (* (* (* (sqrt (+ (* 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) 1)) -2) (cos (/ K 2))) J)) 93.154 * * * * [progress]: [ 91 / 142 ] simplifiying candidate # 93.154 * [simplify]: Simplifying (* U U) 93.155 * * [simplify]: iters left: 2 (2 enodes) 93.156 * * [simplify]: iters left: 1 (6 enodes) 93.157 * * [simplify]: Extracting #0: cost 1 inf + 0 93.157 * * [simplify]: Extracting #1: cost 3 inf + 0 93.157 * * [simplify]: Extracting #2: cost 2 inf + 1 93.157 * * [simplify]: Extracting #3: cost 0 inf + 83 93.157 * [simplify]: Simplified to (* U U) 93.157 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (* (* U U) (* (/ 1 (* 2 (* (cos (/ K 2)) J))) (/ 1 (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (cos (/ K 2))) J)) 93.157 * [simplify]: Simplifying (* (/ 1 (* 2 (* (cos (/ K 2)) J))) (/ 1 (* 2 (* (cos (/ K 2)) J)))) 93.157 * * [simplify]: iters left: 6 (10 enodes) 93.160 * * [simplify]: iters left: 5 (43 enodes) 93.170 * * [simplify]: iters left: 4 (82 enodes) 93.194 * * [simplify]: iters left: 3 (271 enodes) 93.485 * * [simplify]: Extracting #0: cost 1 inf + 0 93.486 * * [simplify]: Extracting #1: cost 72 inf + 0 93.487 * * [simplify]: Extracting #2: cost 165 inf + 90 93.489 * * [simplify]: Extracting #3: cost 151 inf + 1785 93.494 * * [simplify]: Extracting #4: cost 98 inf + 11781 93.511 * * [simplify]: Extracting #5: cost 3 inf + 32308 93.527 * * [simplify]: Extracting #6: cost 0 inf + 32858 93.539 * [simplify]: Simplified to (/ 1/4 (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))) 93.539 * [simplify]: Simplified (2 1 1 1 1 1 2) to (λ (J K U) (* (* (* (sqrt (+ (* (* U U) (/ 1/4 (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) 93.539 * * * * [progress]: [ 92 / 142 ] simplifiying candidate # 93.539 * [simplify]: Simplifying (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) 93.539 * * [simplify]: iters left: 6 (11 enodes) 93.542 * * [simplify]: iters left: 5 (37 enodes) 93.549 * * [simplify]: iters left: 4 (56 enodes) 93.562 * * [simplify]: iters left: 3 (73 enodes) 93.580 * * [simplify]: iters left: 2 (78 enodes) 93.599 * * [simplify]: Extracting #0: cost 1 inf + 0 93.599 * * [simplify]: Extracting #1: cost 13 inf + 0 93.599 * * [simplify]: Extracting #2: cost 23 inf + 3 93.599 * * [simplify]: Extracting #3: cost 26 inf + 129 93.600 * * [simplify]: Extracting #4: cost 16 inf + 851 93.601 * * [simplify]: Extracting #5: cost 3 inf + 3053 93.602 * * [simplify]: Extracting #6: cost 0 inf + 3642 93.604 * [simplify]: Simplified to (/ (/ U 2) (* (cos (/ K 2)) J)) 93.604 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (cos (/ K 2))) J)) 93.604 * [simplify]: Simplifying (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) 93.604 * * [simplify]: iters left: 6 (11 enodes) 93.609 * * [simplify]: iters left: 5 (37 enodes) 93.621 * * [simplify]: iters left: 4 (56 enodes) 93.635 * * [simplify]: iters left: 3 (73 enodes) 93.645 * * [simplify]: iters left: 2 (78 enodes) 93.656 * * [simplify]: Extracting #0: cost 1 inf + 0 93.656 * * [simplify]: Extracting #1: cost 13 inf + 0 93.656 * * [simplify]: Extracting #2: cost 23 inf + 3 93.656 * * [simplify]: Extracting #3: cost 26 inf + 129 93.656 * * [simplify]: Extracting #4: cost 16 inf + 851 93.657 * * [simplify]: Extracting #5: cost 3 inf + 3053 93.658 * * [simplify]: Extracting #6: cost 0 inf + 3642 93.658 * [simplify]: Simplified to (/ (/ U 2) (* (cos (/ K 2)) J)) 93.658 * [simplify]: Simplified (2 1 1 1 1 1 2) to (λ (J K U) (* (* (* (sqrt (+ (* (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) (/ (/ U 2) (* (cos (/ K 2)) J))) 1)) -2) (cos (/ K 2))) J)) 93.659 * * * * [progress]: [ 93 / 142 ] simplifiying candidate # 93.659 * [simplify]: Simplifying (/ U (* 2 (* (cos (/ K 2)) J))) 93.659 * * [simplify]: iters left: 6 (9 enodes) 93.662 * * [simplify]: iters left: 5 (33 enodes) 93.672 * * [simplify]: iters left: 4 (51 enodes) 93.682 * * [simplify]: iters left: 3 (68 enodes) 93.691 * * [simplify]: iters left: 2 (73 enodes) 93.700 * * [simplify]: Extracting #0: cost 1 inf + 0 93.700 * * [simplify]: Extracting #1: cost 12 inf + 0 93.700 * * [simplify]: Extracting #2: cost 21 inf + 3 93.700 * * [simplify]: Extracting #3: cost 21 inf + 337 93.700 * * [simplify]: Extracting #4: cost 12 inf + 1158 93.701 * * [simplify]: Extracting #5: cost 0 inf + 3114 93.701 * [simplify]: Simplified to (/ (/ U (* J 2)) (cos (/ K 2))) 93.702 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (pow (/ (/ U (* J 2)) (cos (/ K 2))) (* 2 1)) 1)) -2) (cos (/ K 2))) J)) 93.702 * [simplify]: Simplifying (* 2 1) 93.702 * * [simplify]: iters left: 2 (3 enodes) 93.703 * * [simplify]: iters left: 1 (9 enodes) 93.706 * * [simplify]: Extracting #0: cost 1 inf + 0 93.706 * * [simplify]: Extracting #1: cost 0 inf + 1 93.706 * [simplify]: Simplified to 2 93.706 * [simplify]: Simplified (2 1 1 1 1 1 2) to (λ (J K U) (* (* (* (sqrt (+ (pow (/ U (* 2 (* (cos (/ K 2)) J))) 2) 1)) -2) (cos (/ K 2))) J)) 93.706 * * * * [progress]: [ 94 / 142 ] simplifiying candidate # 93.706 * [simplify]: Simplifying (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) 93.706 * * [simplify]: iters left: 6 (10 enodes) 93.711 * * [simplify]: iters left: 5 (36 enodes) 93.722 * * [simplify]: iters left: 4 (54 enodes) 93.738 * * [simplify]: iters left: 3 (71 enodes) 93.757 * * [simplify]: iters left: 2 (76 enodes) 93.777 * * [simplify]: Extracting #0: cost 1 inf + 0 93.777 * * [simplify]: Extracting #1: cost 3 inf + 0 93.777 * * [simplify]: Extracting #2: cost 14 inf + 0 93.777 * * [simplify]: Extracting #3: cost 23 inf + 3 93.778 * * [simplify]: Extracting #4: cost 24 inf + 295 93.778 * * [simplify]: Extracting #5: cost 9 inf + 2499 93.780 * * [simplify]: Extracting #6: cost 0 inf + 3722 93.781 * [simplify]: Simplified to (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))) 93.781 * [simplify]: Simplified (2 1 1 1 1 1 2) to (λ (J K U) (* (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))))) (cbrt (/ (/ U (* J 2)) (cos (/ K 2))))) 1)) -2) (cos (/ K 2))) J)) 93.781 * * * * [progress]: [ 95 / 142 ] simplifiying candidate # 93.782 * [simplify]: Simplifying (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) 93.782 * * [simplify]: iters left: 6 (10 enodes) 93.787 * * [simplify]: iters left: 5 (36 enodes) 93.798 * * [simplify]: iters left: 4 (54 enodes) 93.813 * * [simplify]: iters left: 3 (71 enodes) 93.831 * * [simplify]: iters left: 2 (76 enodes) 93.850 * * [simplify]: Extracting #0: cost 1 inf + 0 93.850 * * [simplify]: Extracting #1: cost 3 inf + 0 93.850 * * [simplify]: Extracting #2: cost 14 inf + 0 93.850 * * [simplify]: Extracting #3: cost 23 inf + 3 93.850 * * [simplify]: Extracting #4: cost 24 inf + 295 93.851 * * [simplify]: Extracting #5: cost 9 inf + 2419 93.852 * * [simplify]: Extracting #6: cost 0 inf + 3642 93.854 * [simplify]: Simplified to (sqrt (/ (/ U (* J 2)) (cos (/ K 2)))) 93.854 * [simplify]: Simplified (2 1 1 1 1 1 2) to (λ (J K U) (* (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) (sqrt (/ (/ U (* J 2)) (cos (/ K 2))))) 1)) -2) (cos (/ K 2))) J)) 93.854 * * * * [progress]: [ 96 / 142 ] simplifiying candidate # 93.854 * [simplify]: Simplifying (/ (cbrt U) (* (cos (/ K 2)) J)) 93.854 * * [simplify]: iters left: 6 (9 enodes) 93.859 * * [simplify]: iters left: 5 (30 enodes) 93.868 * * [simplify]: iters left: 4 (34 enodes) 93.877 * * [simplify]: iters left: 3 (36 enodes) 93.887 * * [simplify]: Extracting #0: cost 1 inf + 0 93.887 * * [simplify]: Extracting #1: cost 8 inf + 0 93.888 * * [simplify]: Extracting #2: cost 14 inf + 1 93.888 * * [simplify]: Extracting #3: cost 16 inf + 2 93.888 * * [simplify]: Extracting #4: cost 11 inf + 288 93.888 * * [simplify]: Extracting #5: cost 5 inf + 962 93.889 * * [simplify]: Extracting #6: cost 0 inf + 1958 93.889 * [simplify]: Simplified to (/ (/ (cbrt U) (cos (/ K 2))) J) 93.889 * [simplify]: Simplified (2 1 1 1 1 1 2) to (λ (J K U) (* (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ (* (cbrt U) (cbrt U)) 2)) (/ (/ (cbrt U) (cos (/ K 2))) J)) 1)) -2) (cos (/ K 2))) J)) 93.889 * * * * [progress]: [ 97 / 142 ] simplifiying candidate # 93.890 * [simplify]: Simplifying (/ (sqrt U) (* (cos (/ K 2)) J)) 93.890 * * [simplify]: iters left: 6 (9 enodes) 93.894 * * [simplify]: iters left: 5 (30 enodes) 93.903 * * [simplify]: iters left: 4 (34 enodes) 93.912 * * [simplify]: iters left: 3 (36 enodes) 93.924 * * [simplify]: Extracting #0: cost 1 inf + 0 93.924 * * [simplify]: Extracting #1: cost 8 inf + 0 93.924 * * [simplify]: Extracting #2: cost 14 inf + 1 93.924 * * [simplify]: Extracting #3: cost 16 inf + 2 93.924 * * [simplify]: Extracting #4: cost 11 inf + 168 93.924 * * [simplify]: Extracting #5: cost 5 inf + 762 93.925 * * [simplify]: Extracting #6: cost 0 inf + 1638 93.925 * [simplify]: Simplified to (/ (/ (sqrt U) (cos (/ K 2))) J) 93.925 * [simplify]: Simplified (2 1 1 1 1 1 2) to (λ (J K U) (* (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ (sqrt U) 2)) (/ (/ (sqrt U) (cos (/ K 2))) J)) 1)) -2) (cos (/ K 2))) J)) 93.926 * * * * [progress]: [ 98 / 142 ] simplifiying candidate # 93.926 * [simplify]: Simplifying (/ U (* (cos (/ K 2)) J)) 93.926 * * [simplify]: iters left: 6 (8 enodes) 93.930 * * [simplify]: iters left: 5 (27 enodes) 93.938 * * [simplify]: iters left: 4 (31 enodes) 93.946 * * [simplify]: iters left: 3 (33 enodes) 93.955 * * [simplify]: Extracting #0: cost 1 inf + 0 93.955 * * [simplify]: Extracting #1: cost 8 inf + 0 93.956 * * [simplify]: Extracting #2: cost 11 inf + 2 93.956 * * [simplify]: Extracting #3: cost 12 inf + 86 93.956 * * [simplify]: Extracting #4: cost 9 inf + 130 93.956 * * [simplify]: Extracting #5: cost 1 inf + 1132 93.957 * * [simplify]: Extracting #6: cost 0 inf + 1316 93.957 * [simplify]: Simplified to (/ (/ U J) (cos (/ K 2))) 93.957 * [simplify]: Simplified (2 1 1 1 1 1 2) to (λ (J K U) (* (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ 1 2)) (/ (/ U J) (cos (/ K 2)))) 1)) -2) (cos (/ K 2))) J)) 93.957 * * * * [progress]: [ 99 / 142 ] simplifiying candidate # 93.958 * [simplify]: Simplifying (/ U (* 2 (* (cos (/ K 2)) J))) 93.958 * * [simplify]: iters left: 6 (9 enodes) 93.962 * * [simplify]: iters left: 5 (33 enodes) 93.972 * * [simplify]: iters left: 4 (51 enodes) 93.987 * * [simplify]: iters left: 3 (68 enodes) 94.004 * * [simplify]: iters left: 2 (73 enodes) 94.021 * * [simplify]: Extracting #0: cost 1 inf + 0 94.022 * * [simplify]: Extracting #1: cost 12 inf + 0 94.022 * * [simplify]: Extracting #2: cost 21 inf + 3 94.022 * * [simplify]: Extracting #3: cost 21 inf + 337 94.022 * * [simplify]: Extracting #4: cost 12 inf + 1158 94.023 * * [simplify]: Extracting #5: cost 0 inf + 3114 94.025 * [simplify]: Simplified to (/ (/ U (* J 2)) (cos (/ K 2))) 94.025 * [simplify]: Simplified (2 1 1 1 1 1 2) to (λ (J K U) (* (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) 1) (/ (/ U (* J 2)) (cos (/ K 2)))) 1)) -2) (cos (/ K 2))) J)) 94.025 * * * * [progress]: [ 100 / 142 ] simplifiying candidate # 94.025 * [simplify]: Simplifying (/ 1 (* 2 (* (cos (/ K 2)) J))) 94.025 * * [simplify]: iters left: 6 (9 enodes) 94.031 * * [simplify]: iters left: 5 (36 enodes) 94.043 * * [simplify]: iters left: 4 (56 enodes) 94.059 * * [simplify]: iters left: 3 (72 enodes) 94.076 * * [simplify]: iters left: 2 (76 enodes) 94.086 * * [simplify]: Extracting #0: cost 1 inf + 0 94.086 * * [simplify]: Extracting #1: cost 12 inf + 0 94.086 * * [simplify]: Extracting #2: cost 18 inf + 46 94.086 * * [simplify]: Extracting #3: cost 21 inf + 172 94.086 * * [simplify]: Extracting #4: cost 12 inf + 1055 94.087 * * [simplify]: Extracting #5: cost 2 inf + 2464 94.087 * * [simplify]: Extracting #6: cost 0 inf + 2789 94.088 * [simplify]: Simplified to (/ (/ 1/2 J) (cos (/ K 2))) 94.088 * [simplify]: Simplified (2 1 1 1 1 1 2) to (λ (J K U) (* (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (/ (/ 1/2 J) (cos (/ K 2)))) 1)) -2) (cos (/ K 2))) J)) 94.088 * * * * [progress]: [ 101 / 142 ] simplifiying candidate # 94.088 * [simplify]: Simplifying (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J))))) 94.089 * * [simplify]: iters left: 6 (11 enodes) 94.091 * * [simplify]: iters left: 5 (39 enodes) 94.097 * * [simplify]: iters left: 4 (57 enodes) 94.106 * * [simplify]: iters left: 3 (74 enodes) 94.115 * * [simplify]: iters left: 2 (79 enodes) 94.129 * * [simplify]: Extracting #0: cost 1 inf + 0 94.129 * * [simplify]: Extracting #1: cost 3 inf + 0 94.130 * * [simplify]: Extracting #2: cost 5 inf + 0 94.130 * * [simplify]: Extracting #3: cost 16 inf + 0 94.130 * * [simplify]: Extracting #4: cost 25 inf + 3 94.130 * * [simplify]: Extracting #5: cost 28 inf + 129 94.130 * * [simplify]: Extracting #6: cost 13 inf + 1889 94.132 * * [simplify]: Extracting #7: cost 3 inf + 3901 94.133 * * [simplify]: Extracting #8: cost 0 inf + 4410 94.135 * [simplify]: Simplified to (* (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))) (cbrt (/ (/ U (* J 2)) (cos (/ K 2))))) 94.135 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (* (* (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))) (cbrt (/ (/ U (* J 2)) (cos (/ K 2))))) (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (cos (/ K 2))) J)) 94.135 * * * * [progress]: [ 102 / 142 ] simplifiying candidate # 94.135 * [simplify]: Simplifying (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) 94.135 * * [simplify]: iters left: 6 (10 enodes) 94.140 * * [simplify]: iters left: 5 (36 enodes) 94.146 * * [simplify]: iters left: 4 (54 enodes) 94.154 * * [simplify]: iters left: 3 (71 enodes) 94.164 * * [simplify]: iters left: 2 (76 enodes) 94.174 * * [simplify]: Extracting #0: cost 1 inf + 0 94.174 * * [simplify]: Extracting #1: cost 3 inf + 0 94.174 * * [simplify]: Extracting #2: cost 14 inf + 0 94.174 * * [simplify]: Extracting #3: cost 23 inf + 3 94.174 * * [simplify]: Extracting #4: cost 24 inf + 295 94.175 * * [simplify]: Extracting #5: cost 9 inf + 2419 94.175 * * [simplify]: Extracting #6: cost 0 inf + 3642 94.176 * [simplify]: Simplified to (sqrt (/ (/ U (* J 2)) (cos (/ K 2)))) 94.176 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (* (sqrt (/ (/ U (* J 2)) (cos (/ K 2)))) (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (cos (/ K 2))) J)) 94.176 * * * * [progress]: [ 103 / 142 ] simplifiying candidate # 94.176 * [simplify]: Simplifying (/ (* (cbrt U) (cbrt U)) 2) 94.176 * * [simplify]: iters left: 5 (5 enodes) 94.178 * * [simplify]: iters left: 4 (17 enodes) 94.181 * * [simplify]: iters left: 3 (21 enodes) 94.188 * * [simplify]: iters left: 2 (24 enodes) 94.195 * * [simplify]: Extracting #0: cost 1 inf + 0 94.195 * * [simplify]: Extracting #1: cost 7 inf + 0 94.195 * * [simplify]: Extracting #2: cost 11 inf + 1 94.195 * * [simplify]: Extracting #3: cost 10 inf + 2 94.195 * * [simplify]: Extracting #4: cost 0 inf + 1218 94.196 * [simplify]: Simplified to (/ (* (cbrt U) (cbrt U)) 2) 94.196 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (* (/ (* (cbrt U) (cbrt U)) 2) (* (/ (cbrt U) (* (cos (/ K 2)) J)) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (cos (/ K 2))) J)) 94.196 * * * * [progress]: [ 104 / 142 ] simplifiying candidate # 94.196 * [simplify]: Simplifying (/ (sqrt U) 2) 94.197 * * [simplify]: iters left: 3 (4 enodes) 94.199 * * [simplify]: iters left: 2 (12 enodes) 94.202 * * [simplify]: Extracting #0: cost 1 inf + 0 94.202 * * [simplify]: Extracting #1: cost 4 inf + 0 94.202 * * [simplify]: Extracting #2: cost 5 inf + 1 94.203 * * [simplify]: Extracting #3: cost 4 inf + 2 94.203 * * [simplify]: Extracting #4: cost 0 inf + 248 94.203 * [simplify]: Simplified to (/ (sqrt U) 2) 94.203 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (* (/ (sqrt U) 2) (* (/ (sqrt U) (* (cos (/ K 2)) J)) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (cos (/ K 2))) J)) 94.203 * * * * [progress]: [ 105 / 142 ] simplifiying candidate # 94.203 * [simplify]: Simplifying (/ 1 2) 94.203 * * [simplify]: iters left: 2 (3 enodes) 94.206 * * [simplify]: iters left: 1 (12 enodes) 94.210 * * [simplify]: Extracting #0: cost 1 inf + 0 94.210 * * [simplify]: Extracting #1: cost 0 inf + 1 94.210 * [simplify]: Simplified to 1/2 94.210 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (* 1/2 (* (/ U (* (cos (/ K 2)) J)) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (cos (/ K 2))) J)) 94.211 * * * * [progress]: [ 106 / 142 ] simplifiying candidate # 94.211 * * * * [progress]: [ 107 / 142 ] simplifiying candidate # 94.211 * * * * [progress]: [ 108 / 142 ] simplifiying candidate # 94.211 * [simplify]: Simplifying (* 2 (* (cos (/ K 2)) J)) 94.211 * * [simplify]: iters left: 6 (7 enodes) 94.215 * * [simplify]: iters left: 5 (25 enodes) 94.222 * * [simplify]: iters left: 4 (33 enodes) 94.232 * * [simplify]: iters left: 3 (39 enodes) 94.242 * * [simplify]: Extracting #0: cost 1 inf + 0 94.242 * * [simplify]: Extracting #1: cost 8 inf + 0 94.242 * * [simplify]: Extracting #2: cost 11 inf + 2 94.242 * * [simplify]: Extracting #3: cost 12 inf + 44 94.242 * * [simplify]: Extracting #4: cost 10 inf + 87 94.242 * * [simplify]: Extracting #5: cost 4 inf + 660 94.243 * * [simplify]: Extracting #6: cost 1 inf + 1128 94.243 * * [simplify]: Extracting #7: cost 0 inf + 1311 94.244 * [simplify]: Simplified to (* (cos (/ K 2)) (* J 2)) 94.244 * [simplify]: Simplified (2 1 1 1 1 1 2) to (λ (J K U) (* (* (* (sqrt (+ (/ (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (cos (/ K 2)) (* J 2))) 1)) -2) (cos (/ K 2))) J)) 94.244 * * * * [progress]: [ 109 / 142 ] simplifiying candidate # 94.244 * [simplify]: Simplifying (* U (/ U (* 2 (* (cos (/ K 2)) J)))) 94.244 * * [simplify]: iters left: 6 (10 enodes) 94.249 * * [simplify]: iters left: 5 (39 enodes) 94.262 * * [simplify]: iters left: 4 (75 enodes) 94.290 * * [simplify]: iters left: 3 (155 enodes) 94.316 * * [simplify]: iters left: 2 (223 enodes) 94.359 * * [simplify]: iters left: 1 (275 enodes) 94.447 * * [simplify]: Extracting #0: cost 1 inf + 0 94.447 * * [simplify]: Extracting #1: cost 34 inf + 0 94.447 * * [simplify]: Extracting #2: cost 56 inf + 128 94.448 * * [simplify]: Extracting #3: cost 42 inf + 1204 94.451 * * [simplify]: Extracting #4: cost 19 inf + 4613 94.455 * * [simplify]: Extracting #5: cost 0 inf + 8215 94.459 * [simplify]: Simplified to (/ (/ U (cos (/ K 2))) (* (/ 2 U) J)) 94.459 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (/ (/ (/ U (cos (/ K 2))) (* (/ 2 U) J)) (* 2 (* (cos (/ K 2)) J))) 1)) -2) (cos (/ K 2))) J)) 94.459 * * * * [progress]: [ 110 / 142 ] simplifiying candidate #real (real->posit16 (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (cos (/ K 2))) J))> 94.460 * * * * [progress]: [ 111 / 142 ] simplifiying candidate # 94.460 * * * * [progress]: [ 112 / 142 ] simplifiying candidate # 94.460 * [simplify]: Simplifying (* (cos (/ K 2)) J) 94.460 * * [simplify]: iters left: 5 (6 enodes) 94.463 * * [simplify]: iters left: 4 (19 enodes) 94.469 * * [simplify]: Extracting #0: cost 1 inf + 0 94.469 * * [simplify]: Extracting #1: cost 4 inf + 0 94.469 * * [simplify]: Extracting #2: cost 5 inf + 1 94.469 * * [simplify]: Extracting #3: cost 8 inf + 1 94.469 * * [simplify]: Extracting #4: cost 6 inf + 3 94.469 * * [simplify]: Extracting #5: cost 0 inf + 577 94.469 * [simplify]: Simplified to (* (cos (/ K 2)) J) 94.469 * [simplify]: Simplified (2 1 1 1 1 1 2 2 2 1) to (λ (J K U) (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (pow (* (cos (/ K 2)) J) 1)))) 1)) -2) (cos (/ K 2))) J)) 94.469 * * * * [progress]: [ 113 / 142 ] simplifiying candidate # 94.470 * * * * [progress]: [ 114 / 142 ] simplifiying candidate # 94.470 * [simplify]: Simplifying (+ (log (cos (/ K 2))) (log J)) 94.470 * * [simplify]: iters left: 6 (8 enodes) 94.474 * * [simplify]: iters left: 5 (25 enodes) 94.482 * * [simplify]: Extracting #0: cost 1 inf + 0 94.483 * * [simplify]: Extracting #1: cost 4 inf + 0 94.483 * * [simplify]: Extracting #2: cost 8 inf + 0 94.483 * * [simplify]: Extracting #3: cost 8 inf + 72 94.483 * * [simplify]: Extracting #4: cost 10 inf + 143 94.483 * * [simplify]: Extracting #5: cost 8 inf + 145 94.483 * * [simplify]: Extracting #6: cost 5 inf + 331 94.483 * * [simplify]: Extracting #7: cost 1 inf + 1060 94.484 * * [simplify]: Extracting #8: cost 0 inf + 1343 94.484 * [simplify]: Simplified to (+ (log J) (log (cos (/ K 2)))) 94.484 * [simplify]: Simplified (2 1 1 1 1 1 2 2 2 1) to (λ (J K U) (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (exp (+ (log J) (log (cos (/ K 2)))))))) 1)) -2) (cos (/ K 2))) J)) 94.484 * * * * [progress]: [ 115 / 142 ] simplifiying candidate # 94.484 * * * * [progress]: [ 116 / 142 ] simplifiying candidate # 94.484 * * * * [progress]: [ 117 / 142 ] simplifiying candidate # 94.485 * [simplify]: Simplifying (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J)) 94.485 * * [simplify]: iters left: 6 (10 enodes) 94.490 * * [simplify]: iters left: 5 (37 enodes) 94.502 * * [simplify]: iters left: 4 (66 enodes) 94.524 * * [simplify]: iters left: 3 (125 enodes) 94.549 * * [simplify]: iters left: 2 (196 enodes) 94.637 * * [simplify]: iters left: 1 (353 enodes) 94.764 * * [simplify]: Extracting #0: cost 1 inf + 0 94.764 * * [simplify]: Extracting #1: cost 51 inf + 0 94.765 * * [simplify]: Extracting #2: cost 146 inf + 124 94.767 * * [simplify]: Extracting #3: cost 153 inf + 460 94.769 * * [simplify]: Extracting #4: cost 133 inf + 4920 94.779 * * [simplify]: Extracting #5: cost 45 inf + 43385 94.787 * * [simplify]: Extracting #6: cost 4 inf + 66357 94.795 * * [simplify]: Extracting #7: cost 0 inf + 69278 94.803 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)) 94.803 * [simplify]: Simplified (2 1 1 1 1 1 2 2 2 1) to (λ (J K U) (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (cbrt (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)))))) 1)) -2) (cos (/ K 2))) J)) 94.804 * * * * [progress]: [ 118 / 142 ] simplifiying candidate # 94.804 * * * * [progress]: [ 119 / 142 ] simplifiying candidate # 94.804 * * * * [progress]: [ 120 / 142 ] simplifiying candidate # 94.804 * * * * [progress]: [ 121 / 142 ] simplifiying candidate # 94.804 * * * * [progress]: [ 122 / 142 ] simplifiying candidate # 94.804 * [simplify]: Simplifying (* (sqrt (cos (/ K 2))) (sqrt J)) 94.804 * * [simplify]: iters left: 6 (8 enodes) 94.808 * * [simplify]: iters left: 5 (25 enodes) 94.816 * * [simplify]: Extracting #0: cost 1 inf + 0 94.816 * * [simplify]: Extracting #1: cost 4 inf + 0 94.816 * * [simplify]: Extracting #2: cost 8 inf + 0 94.816 * * [simplify]: Extracting #3: cost 8 inf + 42 94.816 * * [simplify]: Extracting #4: cost 10 inf + 83 94.816 * * [simplify]: Extracting #5: cost 8 inf + 85 94.816 * * [simplify]: Extracting #6: cost 5 inf + 271 94.816 * * [simplify]: Extracting #7: cost 1 inf + 880 94.817 * * [simplify]: Extracting #8: cost 0 inf + 1103 94.817 * [simplify]: Simplified to (* (sqrt J) (sqrt (cos (/ K 2)))) 94.817 * [simplify]: Simplified (2 1 1 1 1 1 2 2 2 1) to (λ (J K U) (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (* (sqrt J) (sqrt (cos (/ K 2)))) (* (sqrt (cos (/ K 2))) (sqrt J)))))) 1)) -2) (cos (/ K 2))) J)) 94.817 * [simplify]: Simplifying (* (sqrt (cos (/ K 2))) (sqrt J)) 94.817 * * [simplify]: iters left: 6 (8 enodes) 94.819 * * [simplify]: iters left: 5 (25 enodes) 94.823 * * [simplify]: Extracting #0: cost 1 inf + 0 94.823 * * [simplify]: Extracting #1: cost 4 inf + 0 94.823 * * [simplify]: Extracting #2: cost 8 inf + 0 94.823 * * [simplify]: Extracting #3: cost 8 inf + 42 94.823 * * [simplify]: Extracting #4: cost 10 inf + 83 94.823 * * [simplify]: Extracting #5: cost 8 inf + 85 94.823 * * [simplify]: Extracting #6: cost 5 inf + 271 94.824 * * [simplify]: Extracting #7: cost 1 inf + 880 94.824 * * [simplify]: Extracting #8: cost 0 inf + 1103 94.824 * [simplify]: Simplified to (* (sqrt J) (sqrt (cos (/ K 2)))) 94.824 * [simplify]: Simplified (2 1 1 1 1 1 2 2 2 2) to (λ (J K U) (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (* (sqrt (cos (/ K 2))) (sqrt J)) (* (sqrt J) (sqrt (cos (/ K 2)))))))) 1)) -2) (cos (/ K 2))) J)) 94.824 * * * * [progress]: [ 123 / 142 ] simplifiying candidate # 94.824 * [simplify]: Simplifying (cbrt J) 94.824 * * [simplify]: iters left: 1 (2 enodes) 94.825 * * [simplify]: Extracting #0: cost 1 inf + 0 94.825 * * [simplify]: Extracting #1: cost 3 inf + 0 94.825 * * [simplify]: Extracting #2: cost 2 inf + 1 94.825 * * [simplify]: Extracting #3: cost 0 inf + 163 94.825 * [simplify]: Simplified to (cbrt J) 94.825 * [simplify]: Simplified (2 1 1 1 1 1 2 2 2 2) to (λ (J K U) (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (cbrt J))))) 1)) -2) (cos (/ K 2))) J)) 94.825 * * * * [progress]: [ 124 / 142 ] simplifiying candidate # 94.825 * [simplify]: Simplifying (sqrt J) 94.825 * * [simplify]: iters left: 1 (2 enodes) 94.826 * * [simplify]: Extracting #0: cost 1 inf + 0 94.826 * * [simplify]: Extracting #1: cost 3 inf + 0 94.826 * * [simplify]: Extracting #2: cost 2 inf + 1 94.826 * * [simplify]: Extracting #3: cost 0 inf + 83 94.826 * [simplify]: Simplified to (sqrt J) 94.826 * [simplify]: Simplified (2 1 1 1 1 1 2 2 2 2) to (λ (J K U) (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (* (cos (/ K 2)) (sqrt J)) (sqrt J))))) 1)) -2) (cos (/ K 2))) J)) 94.826 * * * * [progress]: [ 125 / 142 ] simplifiying candidate # 94.826 * * * * [progress]: [ 126 / 142 ] simplifiying candidate # 94.826 * [simplify]: Simplifying (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) 94.826 * * [simplify]: iters left: 6 (6 enodes) 94.828 * * [simplify]: iters left: 5 (18 enodes) 94.831 * * [simplify]: Extracting #0: cost 1 inf + 0 94.831 * * [simplify]: Extracting #1: cost 3 inf + 0 94.831 * * [simplify]: Extracting #2: cost 5 inf + 0 94.831 * * [simplify]: Extracting #3: cost 7 inf + 0 94.831 * * [simplify]: Extracting #4: cost 10 inf + 0 94.831 * * [simplify]: Extracting #5: cost 8 inf + 2 94.831 * * [simplify]: Extracting #6: cost 0 inf + 1098 94.831 * [simplify]: Simplified to (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) 94.831 * [simplify]: Simplified (2 1 1 1 1 1 2 2 2 1) to (λ (J K U) (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))))) 1)) -2) (cos (/ K 2))) J)) 94.832 * * * * [progress]: [ 127 / 142 ] simplifiying candidate # 94.832 * [simplify]: Simplifying (sqrt (cos (/ K 2))) 94.832 * * [simplify]: iters left: 4 (5 enodes) 94.833 * * [simplify]: iters left: 3 (15 enodes) 94.836 * * [simplify]: Extracting #0: cost 1 inf + 0 94.836 * * [simplify]: Extracting #1: cost 3 inf + 0 94.836 * * [simplify]: Extracting #2: cost 5 inf + 0 94.836 * * [simplify]: Extracting #3: cost 8 inf + 0 94.836 * * [simplify]: Extracting #4: cost 6 inf + 2 94.836 * * [simplify]: Extracting #5: cost 0 inf + 574 94.836 * [simplify]: Simplified to (sqrt (cos (/ K 2))) 94.836 * [simplify]: Simplified (2 1 1 1 1 1 2 2 2 1) to (λ (J K U) (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) J))))) 1)) -2) (cos (/ K 2))) J)) 94.836 * * * * [progress]: [ 128 / 142 ] simplifiying candidate # 94.836 * * * * [progress]: [ 129 / 142 ] simplifiying candidate #real (real->posit16 (* (cos (/ K 2)) J)))))) 1)) -2) (cos (/ K 2))) J))> 94.836 * * * * [progress]: [ 130 / 142 ] simplifiying candidate # 94.836 * * * * [progress]: [ 131 / 142 ] simplifiying candidate # 94.836 * [simplify]: Simplifying 1 94.837 * * [simplify]: iters left: 0 (1 enodes) 94.837 * * [simplify]: Extracting #0: cost 1 inf + 0 94.837 * * [simplify]: Extracting #1: cost 0 inf + 1 94.837 * [simplify]: Simplified to 1 94.837 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (* 1 -2) (cos (/ K 2))) J)) 94.837 * * * * [progress]: [ 132 / 142 ] simplifiying candidate # 94.837 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 94.837 * * [simplify]: iters left: 6 (9 enodes) 94.840 * * [simplify]: iters left: 5 (34 enodes) 94.850 * * [simplify]: iters left: 4 (56 enodes) 94.865 * * [simplify]: iters left: 3 (90 enodes) 94.880 * * [simplify]: iters left: 2 (114 enodes) 94.903 * * [simplify]: iters left: 1 (131 enodes) 94.940 * * [simplify]: Extracting #0: cost 1 inf + 0 94.940 * * [simplify]: Extracting #1: cost 22 inf + 0 94.940 * * [simplify]: Extracting #2: cost 37 inf + 3 94.940 * * [simplify]: Extracting #3: cost 31 inf + 380 94.941 * * [simplify]: Extracting #4: cost 17 inf + 1834 94.943 * * [simplify]: Extracting #5: cost 3 inf + 4117 94.945 * * [simplify]: Extracting #6: cost 0 inf + 4586 94.947 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 94.948 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) -2) (cos (/ K 2))) J)) 94.948 * * * * [progress]: [ 133 / 142 ] simplifiying candidate # 94.948 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 94.948 * * [simplify]: iters left: 6 (9 enodes) 94.953 * * [simplify]: iters left: 5 (34 enodes) 94.964 * * [simplify]: iters left: 4 (56 enodes) 94.981 * * [simplify]: iters left: 3 (90 enodes) 94.997 * * [simplify]: iters left: 2 (114 enodes) 95.013 * * [simplify]: iters left: 1 (131 enodes) 95.038 * * [simplify]: Extracting #0: cost 1 inf + 0 95.038 * * [simplify]: Extracting #1: cost 22 inf + 0 95.038 * * [simplify]: Extracting #2: cost 37 inf + 3 95.039 * * [simplify]: Extracting #3: cost 31 inf + 380 95.039 * * [simplify]: Extracting #4: cost 17 inf + 1834 95.040 * * [simplify]: Extracting #5: cost 3 inf + 4117 95.041 * * [simplify]: Extracting #6: cost 0 inf + 4586 95.042 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 95.042 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) -2) (cos (/ K 2))) J)) 95.042 * * * * [progress]: [ 134 / 142 ] simplifiying candidate # 95.042 * [simplify]: Simplifying (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 95.043 * * [simplify]: iters left: 6 (10 enodes) 95.046 * * [simplify]: iters left: 5 (43 enodes) 95.054 * * [simplify]: iters left: 4 (79 enodes) 95.073 * * [simplify]: iters left: 3 (118 enodes) 95.099 * * [simplify]: iters left: 2 (171 enodes) 95.135 * * [simplify]: iters left: 1 (242 enodes) 95.197 * * [simplify]: Extracting #0: cost 1 inf + 0 95.197 * * [simplify]: Extracting #1: cost 6 inf + 0 95.197 * * [simplify]: Extracting #2: cost 41 inf + 0 95.198 * * [simplify]: Extracting #3: cost 56 inf + 213 95.200 * * [simplify]: Extracting #4: cost 20 inf + 2732 95.202 * * [simplify]: Extracting #5: cost 1 inf + 4576 95.205 * * [simplify]: Extracting #6: cost 0 inf + 4698 95.208 * [simplify]: Simplified to (- (* -2 J) (/ (* U U) (/ J 1/4))) 95.208 * [simplify]: Simplified (2) to (λ (J K U) (- (* -2 J) (/ (* U U) (/ J 1/4)))) 95.209 * * * * [progress]: [ 135 / 142 ] simplifiying candidate # 95.209 * [simplify]: Simplifying (* -1 U) 95.209 * * [simplify]: iters left: 2 (3 enodes) 95.211 * * [simplify]: iters left: 1 (11 enodes) 95.215 * * [simplify]: Extracting #0: cost 1 inf + 0 95.215 * * [simplify]: Extracting #1: cost 4 inf + 0 95.215 * * [simplify]: Extracting #2: cost 0 inf + 84 95.215 * [simplify]: Simplified to (- U) 95.215 * [simplify]: Simplified (2) to (λ (J K U) (- U)) 95.215 * * * * [progress]: [ 136 / 142 ] simplifiying candidate # 95.215 * [simplify]: Simplifying (* -1 U) 95.215 * * [simplify]: iters left: 2 (3 enodes) 95.217 * * [simplify]: iters left: 1 (11 enodes) 95.221 * * [simplify]: Extracting #0: cost 1 inf + 0 95.221 * * [simplify]: Extracting #1: cost 4 inf + 0 95.221 * * [simplify]: Extracting #2: cost 0 inf + 84 95.221 * [simplify]: Simplified to (- U) 95.221 * [simplify]: Simplified (2) to (λ (J K U) (- U)) 95.221 * * * * [progress]: [ 137 / 142 ] simplifiying candidate # 95.221 * [simplify]: Simplifying (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (* (pow K 4) (pow U 2)) (pow J 2))))) 95.222 * * [simplify]: iters left: 6 (22 enodes) 95.235 * * [simplify]: iters left: 5 (98 enodes) 95.255 * * [simplify]: iters left: 4 (205 enodes) 95.317 * * [simplify]: Extracting #0: cost 1 inf + 0 95.317 * * [simplify]: Extracting #1: cost 8 inf + 0 95.318 * * [simplify]: Extracting #2: cost 99 inf + 0 95.319 * * [simplify]: Extracting #3: cost 194 inf + 251 95.322 * * [simplify]: Extracting #4: cost 104 inf + 10603 95.328 * * [simplify]: Extracting #5: cost 8 inf + 24728 95.335 * * [simplify]: Extracting #6: cost 0 inf + 25715 95.341 * * [simplify]: Extracting #7: cost 0 inf + 25355 95.348 * * [simplify]: Extracting #8: cost 0 inf + 25315 95.360 * [simplify]: Simplified to (+ (+ (* 1/96 (* (/ (* K K) (/ J U)) (/ (* K K) (/ J U)))) (* (* 1/4 (/ U J)) (/ U J))) (* (* (/ (* K U) J) (/ (* K U) J)) 1/16)) 95.360 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (+ (+ (* 1/96 (* (/ (* K K) (/ J U)) (/ (* K K) (/ J U)))) (* (* 1/4 (/ U J)) (/ U J))) (* (* (/ (* K U) J) (/ (* K U) J)) 1/16)) 1)) -2) (cos (/ K 2))) J)) 95.360 * * * * [progress]: [ 138 / 142 ] simplifiying candidate # 95.361 * [simplify]: Simplifying (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 95.361 * * [simplify]: iters left: 6 (14 enodes) 95.369 * * [simplify]: iters left: 5 (60 enodes) 95.392 * * [simplify]: iters left: 4 (121 enodes) 95.446 * * [simplify]: iters left: 3 (401 enodes) 95.663 * * [simplify]: Extracting #0: cost 1 inf + 0 95.664 * * [simplify]: Extracting #1: cost 135 inf + 0 95.666 * * [simplify]: Extracting #2: cost 287 inf + 168 95.670 * * [simplify]: Extracting #3: cost 261 inf + 2234 95.678 * * [simplify]: Extracting #4: cost 167 inf + 19219 95.697 * * [simplify]: Extracting #5: cost 11 inf + 55565 95.712 * * [simplify]: Extracting #6: cost 0 inf + 57309 95.733 * * [simplify]: Extracting #7: cost 0 inf + 57229 95.757 * [simplify]: Simplified to (* (* (/ U (* J (cos (* 1/2 K)))) (/ U (* J (cos (* 1/2 K))))) 1/4) 95.757 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (* (* (/ U (* J (cos (* 1/2 K)))) (/ U (* J (cos (* 1/2 K))))) 1/4) 1)) -2) (cos (/ K 2))) J)) 95.757 * * * * [progress]: [ 139 / 142 ] simplifiying candidate # 95.757 * [simplify]: Simplifying (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 95.758 * * [simplify]: iters left: 6 (14 enodes) 95.762 * * [simplify]: iters left: 5 (60 enodes) 95.773 * * [simplify]: iters left: 4 (121 enodes) 95.808 * * [simplify]: iters left: 3 (401 enodes) 96.002 * * [simplify]: Extracting #0: cost 1 inf + 0 96.003 * * [simplify]: Extracting #1: cost 135 inf + 0 96.005 * * [simplify]: Extracting #2: cost 287 inf + 168 96.009 * * [simplify]: Extracting #3: cost 261 inf + 2234 96.016 * * [simplify]: Extracting #4: cost 167 inf + 19219 96.041 * * [simplify]: Extracting #5: cost 11 inf + 55565 96.070 * * [simplify]: Extracting #6: cost 0 inf + 57309 96.098 * * [simplify]: Extracting #7: cost 0 inf + 57229 96.127 * [simplify]: Simplified to (* (* (/ U (* J (cos (* 1/2 K)))) (/ U (* J (cos (* 1/2 K))))) 1/4) 96.127 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (* (* (/ U (* J (cos (* 1/2 K)))) (/ U (* J (cos (* 1/2 K))))) 1/4) 1)) -2) (cos (/ K 2))) J)) 96.127 * * * * [progress]: [ 140 / 142 ] simplifiying candidate # 96.127 * [simplify]: Simplifying (- J (* 1/8 (* (pow K 2) J))) 96.127 * * [simplify]: iters left: 6 (8 enodes) 96.130 * * [simplify]: iters left: 5 (35 enodes) 96.136 * * [simplify]: iters left: 4 (67 enodes) 96.149 * * [simplify]: iters left: 3 (133 enodes) 96.181 * * [simplify]: iters left: 2 (207 enodes) 96.220 * * [simplify]: iters left: 1 (230 enodes) 96.259 * * [simplify]: Extracting #0: cost 1 inf + 0 96.259 * * [simplify]: Extracting #1: cost 6 inf + 0 96.259 * * [simplify]: Extracting #2: cost 28 inf + 1 96.259 * * [simplify]: Extracting #3: cost 33 inf + 378 96.260 * * [simplify]: Extracting #4: cost 2 inf + 2884 96.261 * * [simplify]: Extracting #5: cost 0 inf + 3130 96.262 * [simplify]: Simplified to (- J (* (* K K) (* J 1/8))) 96.262 * [simplify]: Simplified (2 1 1 1 1 1 2 2 2) to (λ (J K U) (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (- J (* (* K K) (* J 1/8)))))) 1)) -2) (cos (/ K 2))) J)) 96.262 * * * * [progress]: [ 141 / 142 ] simplifiying candidate # 96.262 * [simplify]: Simplifying (* (cos (* 1/2 K)) J) 96.262 * * [simplify]: iters left: 5 (6 enodes) 96.264 * * [simplify]: iters left: 4 (20 enodes) 96.267 * * [simplify]: Extracting #0: cost 1 inf + 0 96.267 * * [simplify]: Extracting #1: cost 4 inf + 0 96.267 * * [simplify]: Extracting #2: cost 5 inf + 1 96.267 * * [simplify]: Extracting #3: cost 8 inf + 1 96.267 * * [simplify]: Extracting #4: cost 6 inf + 3 96.267 * * [simplify]: Extracting #5: cost 0 inf + 577 96.267 * [simplify]: Simplified to (* (cos (* 1/2 K)) J) 96.267 * [simplify]: Simplified (2 1 1 1 1 1 2 2 2) to (λ (J K U) (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) -2) (cos (/ K 2))) J)) 96.268 * * * * [progress]: [ 142 / 142 ] simplifiying candidate # 96.268 * [simplify]: Simplifying (* (cos (* 1/2 K)) J) 96.268 * * [simplify]: iters left: 5 (6 enodes) 96.269 * * [simplify]: iters left: 4 (20 enodes) 96.275 * * [simplify]: Extracting #0: cost 1 inf + 0 96.275 * * [simplify]: Extracting #1: cost 4 inf + 0 96.275 * * [simplify]: Extracting #2: cost 5 inf + 1 96.275 * * [simplify]: Extracting #3: cost 8 inf + 1 96.275 * * [simplify]: Extracting #4: cost 6 inf + 3 96.275 * * [simplify]: Extracting #5: cost 0 inf + 577 96.276 * [simplify]: Simplified to (* (cos (* 1/2 K)) J) 96.276 * [simplify]: Simplified (2 1 1 1 1 1 2 2 2) to (λ (J K U) (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) -2) (cos (/ K 2))) J)) 96.276 * * * [progress]: adding candidates to table 98.237 * * [progress]: iteration 3 / 4 98.238 * * * [progress]: picking best candidate 98.298 * * * * [pick]: Picked # 98.298 * * * [progress]: localizing error 98.374 * * * [progress]: generating rewritten candidates 98.374 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1 2 1) 98.483 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1 1) 98.598 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 108.355 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 2) 108.488 * * * [progress]: generating series expansions 108.488 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1 2 1) 108.488 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) 108.488 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U K J) around 0 108.488 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 108.488 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 108.488 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 108.488 * [taylor]: Taking taylor expansion of 1/4 in J 108.488 * [backup-simplify]: Simplify 1/4 into 1/4 108.488 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 108.488 * [taylor]: Taking taylor expansion of (pow U 2) in J 108.488 * [taylor]: Taking taylor expansion of U in J 108.488 * [backup-simplify]: Simplify U into U 108.488 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 108.488 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 108.488 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 108.489 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 108.489 * [taylor]: Taking taylor expansion of 1/2 in J 108.489 * [backup-simplify]: Simplify 1/2 into 1/2 108.489 * [taylor]: Taking taylor expansion of K in J 108.489 * [backup-simplify]: Simplify K into K 108.489 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 108.489 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 108.489 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 108.489 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 108.489 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 108.489 * [backup-simplify]: Simplify (- 0) into 0 108.489 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 108.489 * [taylor]: Taking taylor expansion of (pow J 2) in J 108.489 * [taylor]: Taking taylor expansion of J in J 108.489 * [backup-simplify]: Simplify 0 into 0 108.489 * [backup-simplify]: Simplify 1 into 1 108.489 * [backup-simplify]: Simplify (* U U) into (pow U 2) 108.490 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 108.490 * [backup-simplify]: Simplify (* 1 1) into 1 108.490 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 108.490 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 108.490 * [taylor]: Taking taylor expansion of 1 in J 108.490 * [backup-simplify]: Simplify 1 into 1 108.490 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 108.490 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 108.490 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 108.490 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 108.491 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 108.491 * [backup-simplify]: Simplify (+ 0) into 0 108.491 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 108.492 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 108.492 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 108.492 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 108.493 * [backup-simplify]: Simplify (- 0) into 0 108.493 * [backup-simplify]: Simplify (+ 0 0) into 0 108.493 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 108.493 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 108.494 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 108.494 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 108.494 * [backup-simplify]: Simplify (+ 0 0) into 0 108.494 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 108.494 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 108.494 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 108.495 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 108.495 * [taylor]: Taking taylor expansion of 1/4 in K 108.495 * [backup-simplify]: Simplify 1/4 into 1/4 108.495 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 108.495 * [taylor]: Taking taylor expansion of (pow U 2) in K 108.495 * [taylor]: Taking taylor expansion of U in K 108.495 * [backup-simplify]: Simplify U into U 108.495 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 108.495 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 108.495 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 108.495 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 108.495 * [taylor]: Taking taylor expansion of 1/2 in K 108.495 * [backup-simplify]: Simplify 1/2 into 1/2 108.495 * [taylor]: Taking taylor expansion of K in K 108.495 * [backup-simplify]: Simplify 0 into 0 108.495 * [backup-simplify]: Simplify 1 into 1 108.495 * [backup-simplify]: Simplify (* 1/2 0) into 0 108.495 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 108.496 * [taylor]: Taking taylor expansion of (pow J 2) in K 108.496 * [taylor]: Taking taylor expansion of J in K 108.496 * [backup-simplify]: Simplify J into J 108.496 * [backup-simplify]: Simplify (* U U) into (pow U 2) 108.496 * [backup-simplify]: Simplify (* 1 1) into 1 108.496 * [backup-simplify]: Simplify (* J J) into (pow J 2) 108.496 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 108.496 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 108.496 * [taylor]: Taking taylor expansion of 1 in K 108.496 * [backup-simplify]: Simplify 1 into 1 108.496 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 108.496 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 108.497 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 108.497 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 108.497 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 108.497 * [backup-simplify]: Simplify (+ 0) into 0 108.497 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 108.498 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 108.498 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 108.498 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 108.498 * [backup-simplify]: Simplify (+ 0 0) into 0 108.499 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 108.499 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 108.499 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 108.499 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 108.499 * [taylor]: Taking taylor expansion of 1/4 in U 108.499 * [backup-simplify]: Simplify 1/4 into 1/4 108.499 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 108.499 * [taylor]: Taking taylor expansion of (pow U 2) in U 108.499 * [taylor]: Taking taylor expansion of U in U 108.499 * [backup-simplify]: Simplify 0 into 0 108.499 * [backup-simplify]: Simplify 1 into 1 108.499 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 108.499 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 108.499 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 108.499 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 108.499 * [taylor]: Taking taylor expansion of 1/2 in U 108.499 * [backup-simplify]: Simplify 1/2 into 1/2 108.499 * [taylor]: Taking taylor expansion of K in U 108.499 * [backup-simplify]: Simplify K into K 108.499 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 108.499 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 108.499 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 108.499 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 108.499 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 108.499 * [backup-simplify]: Simplify (- 0) into 0 108.499 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 108.499 * [taylor]: Taking taylor expansion of (pow J 2) in U 108.499 * [taylor]: Taking taylor expansion of J in U 108.499 * [backup-simplify]: Simplify J into J 108.500 * [backup-simplify]: Simplify (* 1 1) into 1 108.500 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 108.500 * [backup-simplify]: Simplify (* J J) into (pow J 2) 108.500 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 108.500 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 108.500 * [taylor]: Taking taylor expansion of 1 in U 108.500 * [backup-simplify]: Simplify 1 into 1 108.500 * [backup-simplify]: Simplify (+ 0 1) into 1 108.501 * [backup-simplify]: Simplify (sqrt 1) into 1 108.501 * [backup-simplify]: Simplify (+ 0 0) into 0 108.501 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 108.501 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 108.501 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 108.501 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 108.501 * [taylor]: Taking taylor expansion of 1/4 in U 108.501 * [backup-simplify]: Simplify 1/4 into 1/4 108.501 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 108.501 * [taylor]: Taking taylor expansion of (pow U 2) in U 108.501 * [taylor]: Taking taylor expansion of U in U 108.501 * [backup-simplify]: Simplify 0 into 0 108.501 * [backup-simplify]: Simplify 1 into 1 108.501 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 108.501 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 108.501 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 108.501 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 108.501 * [taylor]: Taking taylor expansion of 1/2 in U 108.502 * [backup-simplify]: Simplify 1/2 into 1/2 108.502 * [taylor]: Taking taylor expansion of K in U 108.502 * [backup-simplify]: Simplify K into K 108.502 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 108.502 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 108.502 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 108.502 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 108.502 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 108.502 * [backup-simplify]: Simplify (- 0) into 0 108.502 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 108.502 * [taylor]: Taking taylor expansion of (pow J 2) in U 108.502 * [taylor]: Taking taylor expansion of J in U 108.502 * [backup-simplify]: Simplify J into J 108.502 * [backup-simplify]: Simplify (* 1 1) into 1 108.502 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 108.502 * [backup-simplify]: Simplify (* J J) into (pow J 2) 108.503 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 108.503 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 108.503 * [taylor]: Taking taylor expansion of 1 in U 108.503 * [backup-simplify]: Simplify 1 into 1 108.503 * [backup-simplify]: Simplify (+ 0 1) into 1 108.503 * [backup-simplify]: Simplify (sqrt 1) into 1 108.503 * [backup-simplify]: Simplify (+ 0 0) into 0 108.504 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 108.504 * [taylor]: Taking taylor expansion of 1 in K 108.504 * [backup-simplify]: Simplify 1 into 1 108.504 * [taylor]: Taking taylor expansion of 1 in J 108.504 * [backup-simplify]: Simplify 1 into 1 108.504 * [taylor]: Taking taylor expansion of 0 in K 108.504 * [backup-simplify]: Simplify 0 into 0 108.504 * [taylor]: Taking taylor expansion of 0 in J 108.504 * [backup-simplify]: Simplify 0 into 0 108.504 * [taylor]: Taking taylor expansion of 0 in J 108.504 * [backup-simplify]: Simplify 0 into 0 108.504 * [backup-simplify]: Simplify 1 into 1 108.504 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 108.504 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 108.505 * [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))) 108.505 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 108.505 * [taylor]: Taking taylor expansion of 1/8 in K 108.505 * [backup-simplify]: Simplify 1/8 into 1/8 108.505 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 108.505 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 108.505 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 108.505 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 108.505 * [taylor]: Taking taylor expansion of 1/2 in K 108.505 * [backup-simplify]: Simplify 1/2 into 1/2 108.505 * [taylor]: Taking taylor expansion of K in K 108.506 * [backup-simplify]: Simplify 0 into 0 108.506 * [backup-simplify]: Simplify 1 into 1 108.506 * [backup-simplify]: Simplify (* 1/2 0) into 0 108.506 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 108.506 * [taylor]: Taking taylor expansion of (pow J 2) in K 108.506 * [taylor]: Taking taylor expansion of J in K 108.506 * [backup-simplify]: Simplify J into J 108.507 * [backup-simplify]: Simplify (* 1 1) into 1 108.507 * [backup-simplify]: Simplify (* J J) into (pow J 2) 108.507 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 108.507 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2)) 108.507 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J 108.507 * [taylor]: Taking taylor expansion of 1/8 in J 108.507 * [backup-simplify]: Simplify 1/8 into 1/8 108.507 * [taylor]: Taking taylor expansion of (pow J 2) in J 108.507 * [taylor]: Taking taylor expansion of J in J 108.507 * [backup-simplify]: Simplify 0 into 0 108.507 * [backup-simplify]: Simplify 1 into 1 108.507 * [backup-simplify]: Simplify (* 1 1) into 1 108.507 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 108.508 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 108.508 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 108.508 * [backup-simplify]: Simplify 0 into 0 108.508 * [taylor]: Taking taylor expansion of 0 in J 108.508 * [backup-simplify]: Simplify 0 into 0 108.508 * [taylor]: Taking taylor expansion of 0 in J 108.508 * [backup-simplify]: Simplify 0 into 0 108.508 * [backup-simplify]: Simplify 0 into 0 108.508 * [backup-simplify]: Simplify 0 into 0 108.508 * [backup-simplify]: Simplify 0 into 0 108.509 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 108.509 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 108.509 * [backup-simplify]: Simplify (+ 0) into 0 108.509 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 108.510 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 108.510 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 108.510 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 108.511 * [backup-simplify]: Simplify (- 0) into 0 108.511 * [backup-simplify]: Simplify (+ 0 0) into 0 108.511 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 108.511 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 108.511 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 108.512 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 108.512 * [backup-simplify]: Simplify (+ 0 0) into 0 108.513 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 108.513 * [taylor]: Taking taylor expansion of 0 in K 108.513 * [backup-simplify]: Simplify 0 into 0 108.513 * [taylor]: Taking taylor expansion of 0 in J 108.513 * [backup-simplify]: Simplify 0 into 0 108.513 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 108.513 * [backup-simplify]: Simplify (+ 0) into 0 108.513 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 108.514 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 108.514 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0 108.514 * [taylor]: Taking taylor expansion of 0 in J 108.514 * [backup-simplify]: Simplify 0 into 0 108.514 * [taylor]: Taking taylor expansion of 0 in J 108.514 * [backup-simplify]: Simplify 0 into 0 108.514 * [taylor]: Taking taylor expansion of 0 in J 108.514 * [backup-simplify]: Simplify 0 into 0 108.515 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 108.515 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 108.515 * [backup-simplify]: Simplify 0 into 0 108.516 * [backup-simplify]: Simplify 0 into 0 108.516 * [backup-simplify]: Simplify 1 into 1 108.516 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 108.516 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U K J) around 0 108.516 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 108.516 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 108.516 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 108.516 * [taylor]: Taking taylor expansion of 1/4 in J 108.516 * [backup-simplify]: Simplify 1/4 into 1/4 108.516 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 108.516 * [taylor]: Taking taylor expansion of (pow J 2) in J 108.516 * [taylor]: Taking taylor expansion of J in J 108.516 * [backup-simplify]: Simplify 0 into 0 108.516 * [backup-simplify]: Simplify 1 into 1 108.516 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 108.516 * [taylor]: Taking taylor expansion of (pow U 2) in J 108.516 * [taylor]: Taking taylor expansion of U in J 108.516 * [backup-simplify]: Simplify U into U 108.516 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 108.516 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 108.516 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 108.516 * [taylor]: Taking taylor expansion of 1/2 in J 108.516 * [backup-simplify]: Simplify 1/2 into 1/2 108.516 * [taylor]: Taking taylor expansion of K in J 108.516 * [backup-simplify]: Simplify K into K 108.516 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 108.516 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 108.517 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 108.517 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 108.517 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 108.517 * [backup-simplify]: Simplify (- 0) into 0 108.517 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 108.517 * [backup-simplify]: Simplify (* 1 1) into 1 108.517 * [backup-simplify]: Simplify (* U U) into (pow U 2) 108.517 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 108.517 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 108.518 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 108.518 * [taylor]: Taking taylor expansion of 1 in J 108.518 * [backup-simplify]: Simplify 1 into 1 108.518 * [backup-simplify]: Simplify (+ 0 1) into 1 108.518 * [backup-simplify]: Simplify (sqrt 1) into 1 108.518 * [backup-simplify]: Simplify (+ 0 0) into 0 108.519 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 108.519 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 108.519 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 108.519 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 108.519 * [taylor]: Taking taylor expansion of 1/4 in K 108.519 * [backup-simplify]: Simplify 1/4 into 1/4 108.519 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 108.519 * [taylor]: Taking taylor expansion of (pow J 2) in K 108.519 * [taylor]: Taking taylor expansion of J in K 108.519 * [backup-simplify]: Simplify J into J 108.519 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 108.519 * [taylor]: Taking taylor expansion of (pow U 2) in K 108.519 * [taylor]: Taking taylor expansion of U in K 108.519 * [backup-simplify]: Simplify U into U 108.519 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 108.519 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 108.519 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 108.519 * [taylor]: Taking taylor expansion of 1/2 in K 108.519 * [backup-simplify]: Simplify 1/2 into 1/2 108.519 * [taylor]: Taking taylor expansion of K in K 108.519 * [backup-simplify]: Simplify 0 into 0 108.519 * [backup-simplify]: Simplify 1 into 1 108.519 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 108.519 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 108.519 * [backup-simplify]: Simplify (* J J) into (pow J 2) 108.520 * [backup-simplify]: Simplify (* U U) into (pow U 2) 108.520 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 108.520 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 108.520 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 108.520 * [taylor]: Taking taylor expansion of 1 in K 108.520 * [backup-simplify]: Simplify 1 into 1 108.520 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 108.520 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 108.520 * [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)) 108.520 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 108.521 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 108.521 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 108.521 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 108.521 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 108.521 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 108.522 * [backup-simplify]: Simplify (+ 0 0) into 0 108.522 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 108.522 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 108.522 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 108.522 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 108.522 * [taylor]: Taking taylor expansion of 1/4 in U 108.522 * [backup-simplify]: Simplify 1/4 into 1/4 108.522 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 108.522 * [taylor]: Taking taylor expansion of (pow J 2) in U 108.522 * [taylor]: Taking taylor expansion of J in U 108.522 * [backup-simplify]: Simplify J into J 108.522 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 108.522 * [taylor]: Taking taylor expansion of (pow U 2) in U 108.522 * [taylor]: Taking taylor expansion of U in U 108.522 * [backup-simplify]: Simplify 0 into 0 108.522 * [backup-simplify]: Simplify 1 into 1 108.522 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 108.522 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 108.522 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 108.522 * [taylor]: Taking taylor expansion of 1/2 in U 108.522 * [backup-simplify]: Simplify 1/2 into 1/2 108.522 * [taylor]: Taking taylor expansion of K in U 108.522 * [backup-simplify]: Simplify K into K 108.522 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 108.522 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 108.522 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 108.522 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 108.523 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 108.523 * [backup-simplify]: Simplify (- 0) into 0 108.523 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 108.523 * [backup-simplify]: Simplify (* J J) into (pow J 2) 108.523 * [backup-simplify]: Simplify (* 1 1) into 1 108.523 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 108.523 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 108.523 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 108.523 * [taylor]: Taking taylor expansion of 1 in U 108.523 * [backup-simplify]: Simplify 1 into 1 108.523 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 108.524 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 108.524 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 108.524 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 108.524 * [backup-simplify]: Simplify (+ 0) into 0 108.524 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 108.524 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 108.525 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 108.525 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 108.525 * [backup-simplify]: Simplify (- 0) into 0 108.526 * [backup-simplify]: Simplify (+ 0 0) into 0 108.526 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 108.526 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 108.526 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 108.527 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 108.527 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 108.527 * [backup-simplify]: Simplify (+ 0 0) into 0 108.527 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 108.527 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 108.527 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 108.528 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 108.528 * [taylor]: Taking taylor expansion of 1/4 in U 108.528 * [backup-simplify]: Simplify 1/4 into 1/4 108.528 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 108.528 * [taylor]: Taking taylor expansion of (pow J 2) in U 108.528 * [taylor]: Taking taylor expansion of J in U 108.528 * [backup-simplify]: Simplify J into J 108.528 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 108.528 * [taylor]: Taking taylor expansion of (pow U 2) in U 108.528 * [taylor]: Taking taylor expansion of U in U 108.528 * [backup-simplify]: Simplify 0 into 0 108.528 * [backup-simplify]: Simplify 1 into 1 108.528 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 108.528 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 108.528 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 108.528 * [taylor]: Taking taylor expansion of 1/2 in U 108.528 * [backup-simplify]: Simplify 1/2 into 1/2 108.528 * [taylor]: Taking taylor expansion of K in U 108.528 * [backup-simplify]: Simplify K into K 108.528 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 108.528 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 108.528 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 108.528 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 108.528 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 108.529 * [backup-simplify]: Simplify (- 0) into 0 108.529 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 108.529 * [backup-simplify]: Simplify (* J J) into (pow J 2) 108.529 * [backup-simplify]: Simplify (* 1 1) into 1 108.529 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 108.529 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 108.529 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 108.530 * [taylor]: Taking taylor expansion of 1 in U 108.530 * [backup-simplify]: Simplify 1 into 1 108.530 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 108.530 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 108.530 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 108.530 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 108.531 * [backup-simplify]: Simplify (+ 0) into 0 108.531 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 108.531 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 108.532 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 108.533 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 108.533 * [backup-simplify]: Simplify (- 0) into 0 108.533 * [backup-simplify]: Simplify (+ 0 0) into 0 108.533 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 108.534 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 108.538 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 108.538 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 108.539 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 108.540 * [backup-simplify]: Simplify (+ 0 0) into 0 108.540 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 108.540 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K 108.540 * [taylor]: Taking taylor expansion of 1/2 in K 108.540 * [backup-simplify]: Simplify 1/2 into 1/2 108.540 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K 108.540 * [taylor]: Taking taylor expansion of J in K 108.540 * [backup-simplify]: Simplify J into J 108.540 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 108.540 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 108.540 * [taylor]: Taking taylor expansion of 1/2 in K 108.540 * [backup-simplify]: Simplify 1/2 into 1/2 108.540 * [taylor]: Taking taylor expansion of K in K 108.540 * [backup-simplify]: Simplify 0 into 0 108.540 * [backup-simplify]: Simplify 1 into 1 108.541 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 108.541 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 108.541 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 108.541 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 108.541 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 108.541 * [taylor]: Taking taylor expansion of 1/2 in J 108.541 * [backup-simplify]: Simplify 1/2 into 1/2 108.541 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 108.541 * [taylor]: Taking taylor expansion of J in J 108.541 * [backup-simplify]: Simplify 0 into 0 108.541 * [backup-simplify]: Simplify 1 into 1 108.541 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 108.541 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 108.541 * [taylor]: Taking taylor expansion of 1/2 in J 108.541 * [backup-simplify]: Simplify 1/2 into 1/2 108.542 * [taylor]: Taking taylor expansion of K in J 108.542 * [backup-simplify]: Simplify K into K 108.542 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 108.542 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 108.542 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 108.542 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 108.542 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 108.542 * [backup-simplify]: Simplify (- 0) into 0 108.542 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 108.542 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 108.543 * [taylor]: Taking taylor expansion of 0 in K 108.543 * [backup-simplify]: Simplify 0 into 0 108.543 * [taylor]: Taking taylor expansion of 0 in J 108.543 * [backup-simplify]: Simplify 0 into 0 108.543 * [backup-simplify]: Simplify 0 into 0 108.543 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 108.544 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 108.544 * [taylor]: Taking taylor expansion of 0 in J 108.544 * [backup-simplify]: Simplify 0 into 0 108.544 * [backup-simplify]: Simplify 0 into 0 108.544 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 108.544 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 108.544 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 108.545 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 108.546 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 108.546 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 108.547 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 108.547 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 108.548 * [backup-simplify]: Simplify (- 0) into 0 108.548 * [backup-simplify]: Simplify (+ 0 0) into 0 108.549 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 108.550 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 108.550 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 108.551 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 108.552 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 108.552 * [backup-simplify]: Simplify (+ 0 1) into 1 108.553 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 108.553 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 108.553 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 108.553 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 108.553 * [taylor]: Taking taylor expansion of 1/2 in K 108.553 * [backup-simplify]: Simplify 1/2 into 1/2 108.553 * [taylor]: Taking taylor expansion of K in K 108.553 * [backup-simplify]: Simplify 0 into 0 108.553 * [backup-simplify]: Simplify 1 into 1 108.554 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 108.554 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 108.554 * [taylor]: Taking taylor expansion of J in K 108.554 * [backup-simplify]: Simplify J into J 108.554 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 108.554 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 108.554 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 108.554 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 108.554 * [taylor]: Taking taylor expansion of 1/2 in J 108.554 * [backup-simplify]: Simplify 1/2 into 1/2 108.554 * [taylor]: Taking taylor expansion of K in J 108.554 * [backup-simplify]: Simplify K into K 108.554 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 108.554 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 108.554 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 108.554 * [taylor]: Taking taylor expansion of J in J 108.554 * [backup-simplify]: Simplify 0 into 0 108.554 * [backup-simplify]: Simplify 1 into 1 108.554 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 108.555 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 108.555 * [backup-simplify]: Simplify (- 0) into 0 108.555 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 108.555 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 108.555 * [backup-simplify]: Simplify (+ 0) into 0 108.556 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 108.556 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 108.557 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 108.557 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 108.558 * [backup-simplify]: Simplify (- 0) into 0 108.558 * [backup-simplify]: Simplify (+ 0 0) into 0 108.559 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 108.559 * [backup-simplify]: Simplify 0 into 0 108.559 * [taylor]: Taking taylor expansion of 0 in J 108.559 * [backup-simplify]: Simplify 0 into 0 108.559 * [backup-simplify]: Simplify 0 into 0 108.559 * [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 0 108.560 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 108.560 * [taylor]: Taking taylor expansion of 0 in J 108.560 * [backup-simplify]: Simplify 0 into 0 108.560 * [backup-simplify]: Simplify 0 into 0 108.560 * [backup-simplify]: Simplify 0 into 0 108.560 * [backup-simplify]: Simplify 0 into 0 108.561 * [backup-simplify]: Simplify (+ 0) into 0 108.561 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 108.561 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 108.562 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 108.562 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 108.563 * [backup-simplify]: Simplify (- 0) into 0 108.563 * [backup-simplify]: Simplify (+ 0 0) into 0 108.563 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 108.564 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 108.564 * [backup-simplify]: Simplify 0 into 0 108.564 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 J) (* 1 (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 108.565 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 108.565 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U K J) around 0 108.565 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 108.565 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 108.565 * [taylor]: Taking taylor expansion of 1 in J 108.565 * [backup-simplify]: Simplify 1 into 1 108.565 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 108.565 * [taylor]: Taking taylor expansion of 1/4 in J 108.565 * [backup-simplify]: Simplify 1/4 into 1/4 108.565 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 108.565 * [taylor]: Taking taylor expansion of (pow J 2) in J 108.565 * [taylor]: Taking taylor expansion of J in J 108.565 * [backup-simplify]: Simplify 0 into 0 108.565 * [backup-simplify]: Simplify 1 into 1 108.565 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 108.565 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 108.565 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 108.565 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 108.565 * [taylor]: Taking taylor expansion of -1/2 in J 108.565 * [backup-simplify]: Simplify -1/2 into -1/2 108.565 * [taylor]: Taking taylor expansion of K in J 108.565 * [backup-simplify]: Simplify K into K 108.565 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 108.566 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 108.566 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 108.566 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 108.566 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 108.566 * [backup-simplify]: Simplify (- 0) into 0 108.566 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 108.566 * [taylor]: Taking taylor expansion of (pow U 2) in J 108.566 * [taylor]: Taking taylor expansion of U in J 108.566 * [backup-simplify]: Simplify U into U 108.567 * [backup-simplify]: Simplify (* 1 1) into 1 108.567 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 108.567 * [backup-simplify]: Simplify (* U U) into (pow U 2) 108.567 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 108.567 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 108.568 * [backup-simplify]: Simplify (+ 1 0) into 1 108.568 * [backup-simplify]: Simplify (sqrt 1) into 1 108.568 * [backup-simplify]: Simplify (+ 0 0) into 0 108.569 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 108.569 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 108.569 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 108.569 * [taylor]: Taking taylor expansion of 1 in K 108.569 * [backup-simplify]: Simplify 1 into 1 108.569 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 108.569 * [taylor]: Taking taylor expansion of 1/4 in K 108.569 * [backup-simplify]: Simplify 1/4 into 1/4 108.569 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 108.569 * [taylor]: Taking taylor expansion of (pow J 2) in K 108.569 * [taylor]: Taking taylor expansion of J in K 108.569 * [backup-simplify]: Simplify J into J 108.569 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 108.569 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 108.569 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 108.569 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 108.569 * [taylor]: Taking taylor expansion of -1/2 in K 108.570 * [backup-simplify]: Simplify -1/2 into -1/2 108.570 * [taylor]: Taking taylor expansion of K in K 108.570 * [backup-simplify]: Simplify 0 into 0 108.570 * [backup-simplify]: Simplify 1 into 1 108.570 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 108.570 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 108.570 * [taylor]: Taking taylor expansion of (pow U 2) in K 108.570 * [taylor]: Taking taylor expansion of U in K 108.570 * [backup-simplify]: Simplify U into U 108.570 * [backup-simplify]: Simplify (* J J) into (pow J 2) 108.570 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 108.570 * [backup-simplify]: Simplify (* U U) into (pow U 2) 108.571 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 108.571 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 108.571 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 108.571 * [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))))) 108.572 * [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)))))) 108.572 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 108.572 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 108.572 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 108.572 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 108.573 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 108.574 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 108.574 * [backup-simplify]: Simplify (+ 0 0) into 0 108.575 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 108.575 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 108.575 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 108.575 * [taylor]: Taking taylor expansion of 1 in U 108.575 * [backup-simplify]: Simplify 1 into 1 108.575 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 108.575 * [taylor]: Taking taylor expansion of 1/4 in U 108.575 * [backup-simplify]: Simplify 1/4 into 1/4 108.575 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 108.575 * [taylor]: Taking taylor expansion of (pow J 2) in U 108.575 * [taylor]: Taking taylor expansion of J in U 108.575 * [backup-simplify]: Simplify J into J 108.575 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 108.575 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 108.575 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 108.575 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 108.575 * [taylor]: Taking taylor expansion of -1/2 in U 108.575 * [backup-simplify]: Simplify -1/2 into -1/2 108.575 * [taylor]: Taking taylor expansion of K in U 108.575 * [backup-simplify]: Simplify K into K 108.575 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 108.575 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 108.575 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 108.575 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 108.575 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 108.576 * [backup-simplify]: Simplify (- 0) into 0 108.576 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 108.576 * [taylor]: Taking taylor expansion of (pow U 2) in U 108.576 * [taylor]: Taking taylor expansion of U in U 108.576 * [backup-simplify]: Simplify 0 into 0 108.576 * [backup-simplify]: Simplify 1 into 1 108.576 * [backup-simplify]: Simplify (* J J) into (pow J 2) 108.576 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 108.577 * [backup-simplify]: Simplify (* 1 1) into 1 108.577 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 108.577 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 108.577 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 108.577 * [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))) 108.578 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 108.578 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 108.578 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 108.579 * [backup-simplify]: Simplify (+ 0) into 0 108.579 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 108.579 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 108.580 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 108.580 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 108.581 * [backup-simplify]: Simplify (- 0) into 0 108.581 * [backup-simplify]: Simplify (+ 0 0) into 0 108.581 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 108.582 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 108.582 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 108.583 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 108.583 * [backup-simplify]: Simplify (+ 0 0) into 0 108.583 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 108.583 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 108.584 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 108.584 * [taylor]: Taking taylor expansion of 1 in U 108.584 * [backup-simplify]: Simplify 1 into 1 108.584 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 108.584 * [taylor]: Taking taylor expansion of 1/4 in U 108.584 * [backup-simplify]: Simplify 1/4 into 1/4 108.584 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 108.584 * [taylor]: Taking taylor expansion of (pow J 2) in U 108.584 * [taylor]: Taking taylor expansion of J in U 108.584 * [backup-simplify]: Simplify J into J 108.584 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 108.584 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 108.584 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 108.584 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 108.584 * [taylor]: Taking taylor expansion of -1/2 in U 108.584 * [backup-simplify]: Simplify -1/2 into -1/2 108.584 * [taylor]: Taking taylor expansion of K in U 108.584 * [backup-simplify]: Simplify K into K 108.584 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 108.584 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 108.584 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 108.584 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 108.584 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 108.585 * [backup-simplify]: Simplify (- 0) into 0 108.585 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 108.585 * [taylor]: Taking taylor expansion of (pow U 2) in U 108.585 * [taylor]: Taking taylor expansion of U in U 108.585 * [backup-simplify]: Simplify 0 into 0 108.585 * [backup-simplify]: Simplify 1 into 1 108.585 * [backup-simplify]: Simplify (* J J) into (pow J 2) 108.585 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 108.585 * [backup-simplify]: Simplify (* 1 1) into 1 108.586 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 108.586 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 108.586 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 108.586 * [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))) 108.586 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 108.587 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 108.587 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 108.588 * [backup-simplify]: Simplify (+ 0) into 0 108.588 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 108.588 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 108.589 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 108.590 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 108.590 * [backup-simplify]: Simplify (- 0) into 0 108.591 * [backup-simplify]: Simplify (+ 0 0) into 0 108.591 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 108.591 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 108.592 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 108.592 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 108.593 * [backup-simplify]: Simplify (+ 0 0) into 0 108.593 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 108.593 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K 108.593 * [taylor]: Taking taylor expansion of 1/2 in K 108.593 * [backup-simplify]: Simplify 1/2 into 1/2 108.593 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K 108.593 * [taylor]: Taking taylor expansion of J in K 108.593 * [backup-simplify]: Simplify J into J 108.593 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 108.593 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 108.593 * [taylor]: Taking taylor expansion of -1/2 in K 108.593 * [backup-simplify]: Simplify -1/2 into -1/2 108.593 * [taylor]: Taking taylor expansion of K in K 108.593 * [backup-simplify]: Simplify 0 into 0 108.593 * [backup-simplify]: Simplify 1 into 1 108.594 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 108.594 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 108.594 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 108.594 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 108.594 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 108.594 * [taylor]: Taking taylor expansion of 1/2 in J 108.594 * [backup-simplify]: Simplify 1/2 into 1/2 108.594 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 108.594 * [taylor]: Taking taylor expansion of J in J 108.594 * [backup-simplify]: Simplify 0 into 0 108.594 * [backup-simplify]: Simplify 1 into 1 108.594 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 108.594 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 108.594 * [taylor]: Taking taylor expansion of -1/2 in J 108.594 * [backup-simplify]: Simplify -1/2 into -1/2 108.594 * [taylor]: Taking taylor expansion of K in J 108.594 * [backup-simplify]: Simplify K into K 108.594 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 108.595 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 108.595 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 108.595 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 108.595 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 108.595 * [backup-simplify]: Simplify (- 0) into 0 108.595 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 108.595 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 108.595 * [taylor]: Taking taylor expansion of 0 in K 108.595 * [backup-simplify]: Simplify 0 into 0 108.596 * [taylor]: Taking taylor expansion of 0 in J 108.596 * [backup-simplify]: Simplify 0 into 0 108.596 * [backup-simplify]: Simplify 0 into 0 108.596 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 108.597 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 108.597 * [taylor]: Taking taylor expansion of 0 in J 108.597 * [backup-simplify]: Simplify 0 into 0 108.597 * [backup-simplify]: Simplify 0 into 0 108.597 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 108.597 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 108.597 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 108.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 108.599 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 108.600 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 108.600 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 108.601 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 108.601 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 108.602 * [backup-simplify]: Simplify (- 0) into 0 108.602 * [backup-simplify]: Simplify (+ 0 0) into 0 108.603 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 108.603 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 108.604 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 108.605 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 108.605 * [backup-simplify]: Simplify (+ 1 0) into 1 108.606 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 108.606 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 108.606 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 108.606 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 108.606 * [taylor]: Taking taylor expansion of -1/2 in K 108.606 * [backup-simplify]: Simplify -1/2 into -1/2 108.606 * [taylor]: Taking taylor expansion of K in K 108.606 * [backup-simplify]: Simplify 0 into 0 108.606 * [backup-simplify]: Simplify 1 into 1 108.607 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 108.607 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 108.607 * [taylor]: Taking taylor expansion of J in K 108.607 * [backup-simplify]: Simplify J into J 108.607 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 108.607 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 108.607 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 108.607 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 108.607 * [taylor]: Taking taylor expansion of -1/2 in J 108.607 * [backup-simplify]: Simplify -1/2 into -1/2 108.607 * [taylor]: Taking taylor expansion of K in J 108.607 * [backup-simplify]: Simplify K into K 108.607 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 108.607 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 108.607 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 108.607 * [taylor]: Taking taylor expansion of J in J 108.607 * [backup-simplify]: Simplify 0 into 0 108.607 * [backup-simplify]: Simplify 1 into 1 108.607 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 108.607 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 108.608 * [backup-simplify]: Simplify (- 0) into 0 108.608 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 108.608 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 108.608 * [backup-simplify]: Simplify (+ 0) into 0 108.609 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 108.609 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 108.610 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 108.610 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 108.611 * [backup-simplify]: Simplify (- 0) into 0 108.611 * [backup-simplify]: Simplify (+ 0 0) into 0 108.612 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 108.612 * [backup-simplify]: Simplify 0 into 0 108.612 * [taylor]: Taking taylor expansion of 0 in J 108.612 * [backup-simplify]: Simplify 0 into 0 108.612 * [backup-simplify]: Simplify 0 into 0 108.612 * [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 0 108.613 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 108.613 * [taylor]: Taking taylor expansion of 0 in J 108.613 * [backup-simplify]: Simplify 0 into 0 108.613 * [backup-simplify]: Simplify 0 into 0 108.613 * [backup-simplify]: Simplify 0 into 0 108.613 * [backup-simplify]: Simplify 0 into 0 108.614 * [backup-simplify]: Simplify (+ 0) into 0 108.614 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 108.614 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 108.615 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 108.616 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 108.616 * [backup-simplify]: Simplify (- 0) into 0 108.616 * [backup-simplify]: Simplify (+ 0 0) into 0 108.616 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 108.617 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 108.617 * [backup-simplify]: Simplify 0 into 0 108.617 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 108.617 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1 1) 108.618 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) 108.618 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U K J) around 0 108.618 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 108.618 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 108.618 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 108.618 * [taylor]: Taking taylor expansion of 1/4 in J 108.618 * [backup-simplify]: Simplify 1/4 into 1/4 108.618 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 108.618 * [taylor]: Taking taylor expansion of (pow U 2) in J 108.618 * [taylor]: Taking taylor expansion of U in J 108.618 * [backup-simplify]: Simplify U into U 108.618 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 108.618 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 108.618 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 108.618 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 108.618 * [taylor]: Taking taylor expansion of 1/2 in J 108.618 * [backup-simplify]: Simplify 1/2 into 1/2 108.618 * [taylor]: Taking taylor expansion of K in J 108.618 * [backup-simplify]: Simplify K into K 108.618 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 108.618 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 108.619 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 108.619 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 108.619 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 108.619 * [backup-simplify]: Simplify (- 0) into 0 108.619 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 108.619 * [taylor]: Taking taylor expansion of (pow J 2) in J 108.619 * [taylor]: Taking taylor expansion of J in J 108.619 * [backup-simplify]: Simplify 0 into 0 108.619 * [backup-simplify]: Simplify 1 into 1 108.619 * [backup-simplify]: Simplify (* U U) into (pow U 2) 108.620 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 108.620 * [backup-simplify]: Simplify (* 1 1) into 1 108.620 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 108.620 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 108.620 * [taylor]: Taking taylor expansion of 1 in J 108.620 * [backup-simplify]: Simplify 1 into 1 108.620 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 108.621 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 108.621 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 108.621 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 108.622 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 108.622 * [backup-simplify]: Simplify (+ 0) into 0 108.623 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 108.623 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 108.624 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 108.624 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 108.624 * [backup-simplify]: Simplify (- 0) into 0 108.624 * [backup-simplify]: Simplify (+ 0 0) into 0 108.625 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 108.625 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 108.625 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 108.626 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 108.626 * [backup-simplify]: Simplify (+ 0 0) into 0 108.626 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 108.626 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 108.626 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 108.626 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 108.626 * [taylor]: Taking taylor expansion of 1/4 in K 108.626 * [backup-simplify]: Simplify 1/4 into 1/4 108.626 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 108.626 * [taylor]: Taking taylor expansion of (pow U 2) in K 108.626 * [taylor]: Taking taylor expansion of U in K 108.626 * [backup-simplify]: Simplify U into U 108.626 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 108.626 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 108.626 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 108.626 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 108.626 * [taylor]: Taking taylor expansion of 1/2 in K 108.626 * [backup-simplify]: Simplify 1/2 into 1/2 108.626 * [taylor]: Taking taylor expansion of K in K 108.626 * [backup-simplify]: Simplify 0 into 0 108.626 * [backup-simplify]: Simplify 1 into 1 108.626 * [backup-simplify]: Simplify (* 1/2 0) into 0 108.627 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 108.627 * [taylor]: Taking taylor expansion of (pow J 2) in K 108.627 * [taylor]: Taking taylor expansion of J in K 108.627 * [backup-simplify]: Simplify J into J 108.627 * [backup-simplify]: Simplify (* U U) into (pow U 2) 108.627 * [backup-simplify]: Simplify (* 1 1) into 1 108.627 * [backup-simplify]: Simplify (* J J) into (pow J 2) 108.627 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 108.627 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 108.627 * [taylor]: Taking taylor expansion of 1 in K 108.627 * [backup-simplify]: Simplify 1 into 1 108.628 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 108.628 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 108.628 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 108.628 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 108.628 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 108.628 * [backup-simplify]: Simplify (+ 0) into 0 108.629 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 108.629 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 108.629 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 108.629 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 108.630 * [backup-simplify]: Simplify (+ 0 0) into 0 108.630 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 108.630 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 108.630 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 108.630 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 108.630 * [taylor]: Taking taylor expansion of 1/4 in U 108.630 * [backup-simplify]: Simplify 1/4 into 1/4 108.630 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 108.630 * [taylor]: Taking taylor expansion of (pow U 2) in U 108.630 * [taylor]: Taking taylor expansion of U in U 108.630 * [backup-simplify]: Simplify 0 into 0 108.630 * [backup-simplify]: Simplify 1 into 1 108.630 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 108.630 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 108.630 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 108.630 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 108.630 * [taylor]: Taking taylor expansion of 1/2 in U 108.630 * [backup-simplify]: Simplify 1/2 into 1/2 108.630 * [taylor]: Taking taylor expansion of K in U 108.630 * [backup-simplify]: Simplify K into K 108.630 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 108.630 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 108.630 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 108.630 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 108.630 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 108.631 * [backup-simplify]: Simplify (- 0) into 0 108.631 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 108.631 * [taylor]: Taking taylor expansion of (pow J 2) in U 108.631 * [taylor]: Taking taylor expansion of J in U 108.631 * [backup-simplify]: Simplify J into J 108.631 * [backup-simplify]: Simplify (* 1 1) into 1 108.631 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 108.631 * [backup-simplify]: Simplify (* J J) into (pow J 2) 108.631 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 108.631 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 108.631 * [taylor]: Taking taylor expansion of 1 in U 108.631 * [backup-simplify]: Simplify 1 into 1 108.632 * [backup-simplify]: Simplify (+ 0 1) into 1 108.632 * [backup-simplify]: Simplify (sqrt 1) into 1 108.632 * [backup-simplify]: Simplify (+ 0 0) into 0 108.633 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 108.633 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 108.633 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 108.633 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 108.633 * [taylor]: Taking taylor expansion of 1/4 in U 108.633 * [backup-simplify]: Simplify 1/4 into 1/4 108.633 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 108.633 * [taylor]: Taking taylor expansion of (pow U 2) in U 108.633 * [taylor]: Taking taylor expansion of U in U 108.633 * [backup-simplify]: Simplify 0 into 0 108.633 * [backup-simplify]: Simplify 1 into 1 108.633 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 108.633 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 108.633 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 108.633 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 108.633 * [taylor]: Taking taylor expansion of 1/2 in U 108.633 * [backup-simplify]: Simplify 1/2 into 1/2 108.633 * [taylor]: Taking taylor expansion of K in U 108.633 * [backup-simplify]: Simplify K into K 108.633 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 108.633 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 108.633 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 108.633 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 108.633 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 108.634 * [backup-simplify]: Simplify (- 0) into 0 108.634 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 108.634 * [taylor]: Taking taylor expansion of (pow J 2) in U 108.634 * [taylor]: Taking taylor expansion of J in U 108.634 * [backup-simplify]: Simplify J into J 108.634 * [backup-simplify]: Simplify (* 1 1) into 1 108.634 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 108.634 * [backup-simplify]: Simplify (* J J) into (pow J 2) 108.634 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 108.635 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 108.635 * [taylor]: Taking taylor expansion of 1 in U 108.635 * [backup-simplify]: Simplify 1 into 1 108.635 * [backup-simplify]: Simplify (+ 0 1) into 1 108.635 * [backup-simplify]: Simplify (sqrt 1) into 1 108.635 * [backup-simplify]: Simplify (+ 0 0) into 0 108.636 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 108.636 * [taylor]: Taking taylor expansion of 1 in K 108.636 * [backup-simplify]: Simplify 1 into 1 108.636 * [taylor]: Taking taylor expansion of 1 in J 108.636 * [backup-simplify]: Simplify 1 into 1 108.636 * [taylor]: Taking taylor expansion of 0 in K 108.636 * [backup-simplify]: Simplify 0 into 0 108.636 * [taylor]: Taking taylor expansion of 0 in J 108.636 * [backup-simplify]: Simplify 0 into 0 108.636 * [taylor]: Taking taylor expansion of 0 in J 108.636 * [backup-simplify]: Simplify 0 into 0 108.636 * [backup-simplify]: Simplify 1 into 1 108.636 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 108.636 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 108.637 * [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))) 108.637 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 108.637 * [taylor]: Taking taylor expansion of 1/8 in K 108.637 * [backup-simplify]: Simplify 1/8 into 1/8 108.637 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 108.637 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 108.637 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 108.637 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 108.637 * [taylor]: Taking taylor expansion of 1/2 in K 108.637 * [backup-simplify]: Simplify 1/2 into 1/2 108.637 * [taylor]: Taking taylor expansion of K in K 108.637 * [backup-simplify]: Simplify 0 into 0 108.637 * [backup-simplify]: Simplify 1 into 1 108.638 * [backup-simplify]: Simplify (* 1/2 0) into 0 108.638 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 108.638 * [taylor]: Taking taylor expansion of (pow J 2) in K 108.638 * [taylor]: Taking taylor expansion of J in K 108.638 * [backup-simplify]: Simplify J into J 108.639 * [backup-simplify]: Simplify (* 1 1) into 1 108.639 * [backup-simplify]: Simplify (* J J) into (pow J 2) 108.639 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 108.639 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2)) 108.639 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J 108.639 * [taylor]: Taking taylor expansion of 1/8 in J 108.639 * [backup-simplify]: Simplify 1/8 into 1/8 108.639 * [taylor]: Taking taylor expansion of (pow J 2) in J 108.639 * [taylor]: Taking taylor expansion of J in J 108.639 * [backup-simplify]: Simplify 0 into 0 108.639 * [backup-simplify]: Simplify 1 into 1 108.639 * [backup-simplify]: Simplify (* 1 1) into 1 108.639 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 108.640 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 108.640 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 108.640 * [backup-simplify]: Simplify 0 into 0 108.640 * [taylor]: Taking taylor expansion of 0 in J 108.640 * [backup-simplify]: Simplify 0 into 0 108.640 * [taylor]: Taking taylor expansion of 0 in J 108.640 * [backup-simplify]: Simplify 0 into 0 108.640 * [backup-simplify]: Simplify 0 into 0 108.640 * [backup-simplify]: Simplify 0 into 0 108.640 * [backup-simplify]: Simplify 0 into 0 108.641 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 108.641 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 108.641 * [backup-simplify]: Simplify (+ 0) into 0 108.641 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 108.642 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 108.642 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 108.642 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 108.643 * [backup-simplify]: Simplify (- 0) into 0 108.643 * [backup-simplify]: Simplify (+ 0 0) into 0 108.643 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 108.643 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 108.643 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 108.644 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 108.644 * [backup-simplify]: Simplify (+ 0 0) into 0 108.644 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 108.645 * [taylor]: Taking taylor expansion of 0 in K 108.645 * [backup-simplify]: Simplify 0 into 0 108.645 * [taylor]: Taking taylor expansion of 0 in J 108.645 * [backup-simplify]: Simplify 0 into 0 108.645 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 108.645 * [backup-simplify]: Simplify (+ 0) into 0 108.645 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 108.646 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 108.646 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0 108.646 * [taylor]: Taking taylor expansion of 0 in J 108.646 * [backup-simplify]: Simplify 0 into 0 108.646 * [taylor]: Taking taylor expansion of 0 in J 108.646 * [backup-simplify]: Simplify 0 into 0 108.646 * [taylor]: Taking taylor expansion of 0 in J 108.646 * [backup-simplify]: Simplify 0 into 0 108.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 108.647 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 108.647 * [backup-simplify]: Simplify 0 into 0 108.647 * [backup-simplify]: Simplify 0 into 0 108.647 * [backup-simplify]: Simplify 1 into 1 108.647 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 108.647 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U K J) around 0 108.647 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 108.647 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 108.647 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 108.647 * [taylor]: Taking taylor expansion of 1/4 in J 108.647 * [backup-simplify]: Simplify 1/4 into 1/4 108.647 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 108.647 * [taylor]: Taking taylor expansion of (pow J 2) in J 108.647 * [taylor]: Taking taylor expansion of J in J 108.648 * [backup-simplify]: Simplify 0 into 0 108.648 * [backup-simplify]: Simplify 1 into 1 108.648 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 108.648 * [taylor]: Taking taylor expansion of (pow U 2) in J 108.648 * [taylor]: Taking taylor expansion of U in J 108.648 * [backup-simplify]: Simplify U into U 108.648 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 108.648 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 108.648 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 108.648 * [taylor]: Taking taylor expansion of 1/2 in J 108.648 * [backup-simplify]: Simplify 1/2 into 1/2 108.648 * [taylor]: Taking taylor expansion of K in J 108.648 * [backup-simplify]: Simplify K into K 108.648 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 108.648 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 108.648 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 108.648 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 108.648 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 108.648 * [backup-simplify]: Simplify (- 0) into 0 108.648 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 108.648 * [backup-simplify]: Simplify (* 1 1) into 1 108.649 * [backup-simplify]: Simplify (* U U) into (pow U 2) 108.649 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 108.649 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 108.649 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 108.649 * [taylor]: Taking taylor expansion of 1 in J 108.649 * [backup-simplify]: Simplify 1 into 1 108.649 * [backup-simplify]: Simplify (+ 0 1) into 1 108.649 * [backup-simplify]: Simplify (sqrt 1) into 1 108.650 * [backup-simplify]: Simplify (+ 0 0) into 0 108.650 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 108.650 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 108.650 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 108.650 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 108.650 * [taylor]: Taking taylor expansion of 1/4 in K 108.650 * [backup-simplify]: Simplify 1/4 into 1/4 108.650 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 108.650 * [taylor]: Taking taylor expansion of (pow J 2) in K 108.650 * [taylor]: Taking taylor expansion of J in K 108.650 * [backup-simplify]: Simplify J into J 108.650 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 108.650 * [taylor]: Taking taylor expansion of (pow U 2) in K 108.650 * [taylor]: Taking taylor expansion of U in K 108.650 * [backup-simplify]: Simplify U into U 108.650 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 108.650 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 108.650 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 108.650 * [taylor]: Taking taylor expansion of 1/2 in K 108.650 * [backup-simplify]: Simplify 1/2 into 1/2 108.650 * [taylor]: Taking taylor expansion of K in K 108.650 * [backup-simplify]: Simplify 0 into 0 108.650 * [backup-simplify]: Simplify 1 into 1 108.651 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 108.651 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 108.651 * [backup-simplify]: Simplify (* J J) into (pow J 2) 108.651 * [backup-simplify]: Simplify (* U U) into (pow U 2) 108.651 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 108.651 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 108.651 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 108.651 * [taylor]: Taking taylor expansion of 1 in K 108.651 * [backup-simplify]: Simplify 1 into 1 108.651 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 108.651 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 108.652 * [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)) 108.652 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 108.652 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 108.652 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 108.652 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 108.652 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 108.653 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 108.654 * [backup-simplify]: Simplify (+ 0 0) into 0 108.654 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 108.654 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 108.654 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 108.654 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 108.654 * [taylor]: Taking taylor expansion of 1/4 in U 108.654 * [backup-simplify]: Simplify 1/4 into 1/4 108.654 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 108.654 * [taylor]: Taking taylor expansion of (pow J 2) in U 108.654 * [taylor]: Taking taylor expansion of J in U 108.654 * [backup-simplify]: Simplify J into J 108.654 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 108.654 * [taylor]: Taking taylor expansion of (pow U 2) in U 108.654 * [taylor]: Taking taylor expansion of U in U 108.654 * [backup-simplify]: Simplify 0 into 0 108.654 * [backup-simplify]: Simplify 1 into 1 108.654 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 108.654 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 108.654 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 108.654 * [taylor]: Taking taylor expansion of 1/2 in U 108.655 * [backup-simplify]: Simplify 1/2 into 1/2 108.655 * [taylor]: Taking taylor expansion of K in U 108.655 * [backup-simplify]: Simplify K into K 108.655 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 108.655 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 108.655 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 108.655 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 108.655 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 108.655 * [backup-simplify]: Simplify (- 0) into 0 108.655 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 108.655 * [backup-simplify]: Simplify (* J J) into (pow J 2) 108.656 * [backup-simplify]: Simplify (* 1 1) into 1 108.656 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 108.656 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 108.656 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 108.656 * [taylor]: Taking taylor expansion of 1 in U 108.656 * [backup-simplify]: Simplify 1 into 1 108.657 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 108.657 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 108.657 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 108.657 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 108.658 * [backup-simplify]: Simplify (+ 0) into 0 108.658 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 108.658 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 108.659 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 108.659 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 108.660 * [backup-simplify]: Simplify (- 0) into 0 108.660 * [backup-simplify]: Simplify (+ 0 0) into 0 108.660 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 108.661 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 108.661 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 108.662 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 108.662 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 108.663 * [backup-simplify]: Simplify (+ 0 0) into 0 108.663 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 108.663 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 108.663 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 108.663 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 108.663 * [taylor]: Taking taylor expansion of 1/4 in U 108.663 * [backup-simplify]: Simplify 1/4 into 1/4 108.663 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 108.663 * [taylor]: Taking taylor expansion of (pow J 2) in U 108.663 * [taylor]: Taking taylor expansion of J in U 108.663 * [backup-simplify]: Simplify J into J 108.663 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 108.663 * [taylor]: Taking taylor expansion of (pow U 2) in U 108.663 * [taylor]: Taking taylor expansion of U in U 108.663 * [backup-simplify]: Simplify 0 into 0 108.663 * [backup-simplify]: Simplify 1 into 1 108.663 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 108.663 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 108.664 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 108.664 * [taylor]: Taking taylor expansion of 1/2 in U 108.664 * [backup-simplify]: Simplify 1/2 into 1/2 108.664 * [taylor]: Taking taylor expansion of K in U 108.664 * [backup-simplify]: Simplify K into K 108.664 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 108.664 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 108.664 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 108.664 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 108.664 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 108.664 * [backup-simplify]: Simplify (- 0) into 0 108.665 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 108.665 * [backup-simplify]: Simplify (* J J) into (pow J 2) 108.665 * [backup-simplify]: Simplify (* 1 1) into 1 108.665 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 108.665 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 108.665 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 108.665 * [taylor]: Taking taylor expansion of 1 in U 108.665 * [backup-simplify]: Simplify 1 into 1 108.666 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 108.666 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 108.666 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 108.666 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 108.667 * [backup-simplify]: Simplify (+ 0) into 0 108.667 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 108.667 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 108.668 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 108.671 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 108.671 * [backup-simplify]: Simplify (- 0) into 0 108.671 * [backup-simplify]: Simplify (+ 0 0) into 0 108.671 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 108.672 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 108.672 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 108.672 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 108.673 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 108.673 * [backup-simplify]: Simplify (+ 0 0) into 0 108.673 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 108.673 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K 108.673 * [taylor]: Taking taylor expansion of 1/2 in K 108.673 * [backup-simplify]: Simplify 1/2 into 1/2 108.673 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K 108.673 * [taylor]: Taking taylor expansion of J in K 108.673 * [backup-simplify]: Simplify J into J 108.673 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 108.673 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 108.673 * [taylor]: Taking taylor expansion of 1/2 in K 108.673 * [backup-simplify]: Simplify 1/2 into 1/2 108.673 * [taylor]: Taking taylor expansion of K in K 108.673 * [backup-simplify]: Simplify 0 into 0 108.673 * [backup-simplify]: Simplify 1 into 1 108.674 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 108.674 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 108.674 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 108.674 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 108.674 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 108.674 * [taylor]: Taking taylor expansion of 1/2 in J 108.674 * [backup-simplify]: Simplify 1/2 into 1/2 108.674 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 108.674 * [taylor]: Taking taylor expansion of J in J 108.674 * [backup-simplify]: Simplify 0 into 0 108.674 * [backup-simplify]: Simplify 1 into 1 108.674 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 108.674 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 108.674 * [taylor]: Taking taylor expansion of 1/2 in J 108.674 * [backup-simplify]: Simplify 1/2 into 1/2 108.674 * [taylor]: Taking taylor expansion of K in J 108.674 * [backup-simplify]: Simplify K into K 108.674 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 108.674 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 108.674 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 108.674 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 108.674 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 108.675 * [backup-simplify]: Simplify (- 0) into 0 108.675 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 108.675 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 108.675 * [taylor]: Taking taylor expansion of 0 in K 108.675 * [backup-simplify]: Simplify 0 into 0 108.675 * [taylor]: Taking taylor expansion of 0 in J 108.675 * [backup-simplify]: Simplify 0 into 0 108.675 * [backup-simplify]: Simplify 0 into 0 108.675 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 108.675 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 108.675 * [taylor]: Taking taylor expansion of 0 in J 108.675 * [backup-simplify]: Simplify 0 into 0 108.675 * [backup-simplify]: Simplify 0 into 0 108.676 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 108.676 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 108.676 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 108.676 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 108.677 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 108.677 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 108.678 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 108.678 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 108.678 * [backup-simplify]: Simplify (- 0) into 0 108.678 * [backup-simplify]: Simplify (+ 0 0) into 0 108.679 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 108.679 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 108.680 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 108.680 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 108.681 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 108.681 * [backup-simplify]: Simplify (+ 0 1) into 1 108.681 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 108.681 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 108.681 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 108.681 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 108.682 * [taylor]: Taking taylor expansion of 1/2 in K 108.682 * [backup-simplify]: Simplify 1/2 into 1/2 108.682 * [taylor]: Taking taylor expansion of K in K 108.682 * [backup-simplify]: Simplify 0 into 0 108.682 * [backup-simplify]: Simplify 1 into 1 108.682 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 108.682 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 108.682 * [taylor]: Taking taylor expansion of J in K 108.682 * [backup-simplify]: Simplify J into J 108.682 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 108.682 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 108.682 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 108.682 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 108.682 * [taylor]: Taking taylor expansion of 1/2 in J 108.682 * [backup-simplify]: Simplify 1/2 into 1/2 108.682 * [taylor]: Taking taylor expansion of K in J 108.682 * [backup-simplify]: Simplify K into K 108.682 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 108.682 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 108.682 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 108.682 * [taylor]: Taking taylor expansion of J in J 108.682 * [backup-simplify]: Simplify 0 into 0 108.682 * [backup-simplify]: Simplify 1 into 1 108.682 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 108.682 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 108.683 * [backup-simplify]: Simplify (- 0) into 0 108.683 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 108.683 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 108.683 * [backup-simplify]: Simplify (+ 0) into 0 108.683 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 108.683 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 108.684 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 108.684 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 108.684 * [backup-simplify]: Simplify (- 0) into 0 108.685 * [backup-simplify]: Simplify (+ 0 0) into 0 108.685 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 108.685 * [backup-simplify]: Simplify 0 into 0 108.685 * [taylor]: Taking taylor expansion of 0 in J 108.685 * [backup-simplify]: Simplify 0 into 0 108.685 * [backup-simplify]: Simplify 0 into 0 108.685 * [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 0 108.686 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 108.686 * [taylor]: Taking taylor expansion of 0 in J 108.686 * [backup-simplify]: Simplify 0 into 0 108.686 * [backup-simplify]: Simplify 0 into 0 108.686 * [backup-simplify]: Simplify 0 into 0 108.686 * [backup-simplify]: Simplify 0 into 0 108.686 * [backup-simplify]: Simplify (+ 0) into 0 108.687 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 108.687 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 108.687 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 108.687 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 108.688 * [backup-simplify]: Simplify (- 0) into 0 108.688 * [backup-simplify]: Simplify (+ 0 0) into 0 108.688 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 108.688 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 108.688 * [backup-simplify]: Simplify 0 into 0 108.688 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 J) (* 1 (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 108.689 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 108.689 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U K J) around 0 108.689 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 108.689 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 108.689 * [taylor]: Taking taylor expansion of 1 in J 108.689 * [backup-simplify]: Simplify 1 into 1 108.689 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 108.689 * [taylor]: Taking taylor expansion of 1/4 in J 108.689 * [backup-simplify]: Simplify 1/4 into 1/4 108.689 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 108.689 * [taylor]: Taking taylor expansion of (pow J 2) in J 108.689 * [taylor]: Taking taylor expansion of J in J 108.689 * [backup-simplify]: Simplify 0 into 0 108.689 * [backup-simplify]: Simplify 1 into 1 108.689 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 108.689 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 108.689 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 108.689 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 108.689 * [taylor]: Taking taylor expansion of -1/2 in J 108.689 * [backup-simplify]: Simplify -1/2 into -1/2 108.689 * [taylor]: Taking taylor expansion of K in J 108.689 * [backup-simplify]: Simplify K into K 108.689 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 108.689 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 108.690 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 108.690 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 108.690 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 108.690 * [backup-simplify]: Simplify (- 0) into 0 108.690 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 108.690 * [taylor]: Taking taylor expansion of (pow U 2) in J 108.690 * [taylor]: Taking taylor expansion of U in J 108.690 * [backup-simplify]: Simplify U into U 108.690 * [backup-simplify]: Simplify (* 1 1) into 1 108.690 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 108.690 * [backup-simplify]: Simplify (* U U) into (pow U 2) 108.690 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 108.691 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 108.691 * [backup-simplify]: Simplify (+ 1 0) into 1 108.691 * [backup-simplify]: Simplify (sqrt 1) into 1 108.691 * [backup-simplify]: Simplify (+ 0 0) into 0 108.692 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 108.692 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 108.692 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 108.692 * [taylor]: Taking taylor expansion of 1 in K 108.692 * [backup-simplify]: Simplify 1 into 1 108.692 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 108.692 * [taylor]: Taking taylor expansion of 1/4 in K 108.692 * [backup-simplify]: Simplify 1/4 into 1/4 108.692 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 108.692 * [taylor]: Taking taylor expansion of (pow J 2) in K 108.692 * [taylor]: Taking taylor expansion of J in K 108.692 * [backup-simplify]: Simplify J into J 108.692 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 108.692 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 108.692 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 108.692 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 108.692 * [taylor]: Taking taylor expansion of -1/2 in K 108.692 * [backup-simplify]: Simplify -1/2 into -1/2 108.692 * [taylor]: Taking taylor expansion of K in K 108.692 * [backup-simplify]: Simplify 0 into 0 108.692 * [backup-simplify]: Simplify 1 into 1 108.692 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 108.692 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 108.692 * [taylor]: Taking taylor expansion of (pow U 2) in K 108.692 * [taylor]: Taking taylor expansion of U in K 108.692 * [backup-simplify]: Simplify U into U 108.692 * [backup-simplify]: Simplify (* J J) into (pow J 2) 108.693 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 108.693 * [backup-simplify]: Simplify (* U U) into (pow U 2) 108.693 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 108.693 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 108.693 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 108.693 * [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))))) 108.693 * [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)))))) 108.693 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 108.693 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 108.694 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 108.694 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 108.694 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 108.694 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 108.695 * [backup-simplify]: Simplify (+ 0 0) into 0 108.695 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 108.695 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 108.695 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 108.695 * [taylor]: Taking taylor expansion of 1 in U 108.695 * [backup-simplify]: Simplify 1 into 1 108.695 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 108.695 * [taylor]: Taking taylor expansion of 1/4 in U 108.695 * [backup-simplify]: Simplify 1/4 into 1/4 108.695 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 108.695 * [taylor]: Taking taylor expansion of (pow J 2) in U 108.695 * [taylor]: Taking taylor expansion of J in U 108.695 * [backup-simplify]: Simplify J into J 108.695 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 108.695 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 108.695 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 108.695 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 108.695 * [taylor]: Taking taylor expansion of -1/2 in U 108.695 * [backup-simplify]: Simplify -1/2 into -1/2 108.695 * [taylor]: Taking taylor expansion of K in U 108.695 * [backup-simplify]: Simplify K into K 108.695 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 108.695 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 108.695 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 108.695 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 108.695 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 108.696 * [backup-simplify]: Simplify (- 0) into 0 108.696 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 108.696 * [taylor]: Taking taylor expansion of (pow U 2) in U 108.696 * [taylor]: Taking taylor expansion of U in U 108.696 * [backup-simplify]: Simplify 0 into 0 108.696 * [backup-simplify]: Simplify 1 into 1 108.696 * [backup-simplify]: Simplify (* J J) into (pow J 2) 108.696 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 108.696 * [backup-simplify]: Simplify (* 1 1) into 1 108.696 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 108.697 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 108.697 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 108.697 * [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))) 108.697 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 108.697 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 108.698 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 108.698 * [backup-simplify]: Simplify (+ 0) into 0 108.699 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 108.699 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 108.700 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 108.700 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 108.701 * [backup-simplify]: Simplify (- 0) into 0 108.701 * [backup-simplify]: Simplify (+ 0 0) into 0 108.701 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 108.702 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 108.702 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 108.703 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 108.703 * [backup-simplify]: Simplify (+ 0 0) into 0 108.703 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 108.703 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 108.703 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 108.703 * [taylor]: Taking taylor expansion of 1 in U 108.704 * [backup-simplify]: Simplify 1 into 1 108.704 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 108.704 * [taylor]: Taking taylor expansion of 1/4 in U 108.704 * [backup-simplify]: Simplify 1/4 into 1/4 108.704 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 108.704 * [taylor]: Taking taylor expansion of (pow J 2) in U 108.704 * [taylor]: Taking taylor expansion of J in U 108.704 * [backup-simplify]: Simplify J into J 108.704 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 108.704 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 108.704 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 108.704 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 108.704 * [taylor]: Taking taylor expansion of -1/2 in U 108.704 * [backup-simplify]: Simplify -1/2 into -1/2 108.704 * [taylor]: Taking taylor expansion of K in U 108.704 * [backup-simplify]: Simplify K into K 108.704 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 108.704 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 108.704 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 108.704 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 108.704 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 108.705 * [backup-simplify]: Simplify (- 0) into 0 108.705 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 108.705 * [taylor]: Taking taylor expansion of (pow U 2) in U 108.705 * [taylor]: Taking taylor expansion of U in U 108.705 * [backup-simplify]: Simplify 0 into 0 108.705 * [backup-simplify]: Simplify 1 into 1 108.705 * [backup-simplify]: Simplify (* J J) into (pow J 2) 108.705 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 108.705 * [backup-simplify]: Simplify (* 1 1) into 1 108.706 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 108.706 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 108.706 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 108.706 * [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))) 108.706 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 108.706 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 108.707 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 108.708 * [backup-simplify]: Simplify (+ 0) into 0 108.708 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 108.708 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 108.709 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 108.709 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 108.710 * [backup-simplify]: Simplify (- 0) into 0 108.710 * [backup-simplify]: Simplify (+ 0 0) into 0 108.710 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 108.711 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 108.711 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 108.712 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 108.712 * [backup-simplify]: Simplify (+ 0 0) into 0 108.713 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 108.713 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K 108.713 * [taylor]: Taking taylor expansion of 1/2 in K 108.713 * [backup-simplify]: Simplify 1/2 into 1/2 108.713 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K 108.713 * [taylor]: Taking taylor expansion of J in K 108.713 * [backup-simplify]: Simplify J into J 108.713 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 108.713 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 108.713 * [taylor]: Taking taylor expansion of -1/2 in K 108.713 * [backup-simplify]: Simplify -1/2 into -1/2 108.713 * [taylor]: Taking taylor expansion of K in K 108.713 * [backup-simplify]: Simplify 0 into 0 108.713 * [backup-simplify]: Simplify 1 into 1 108.714 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 108.714 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 108.714 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 108.714 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 108.714 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 108.714 * [taylor]: Taking taylor expansion of 1/2 in J 108.714 * [backup-simplify]: Simplify 1/2 into 1/2 108.714 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 108.714 * [taylor]: Taking taylor expansion of J in J 108.714 * [backup-simplify]: Simplify 0 into 0 108.714 * [backup-simplify]: Simplify 1 into 1 108.714 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 108.714 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 108.714 * [taylor]: Taking taylor expansion of -1/2 in J 108.714 * [backup-simplify]: Simplify -1/2 into -1/2 108.714 * [taylor]: Taking taylor expansion of K in J 108.714 * [backup-simplify]: Simplify K into K 108.714 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 108.714 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 108.714 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 108.715 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 108.715 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 108.715 * [backup-simplify]: Simplify (- 0) into 0 108.715 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 108.715 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 108.715 * [taylor]: Taking taylor expansion of 0 in K 108.715 * [backup-simplify]: Simplify 0 into 0 108.715 * [taylor]: Taking taylor expansion of 0 in J 108.715 * [backup-simplify]: Simplify 0 into 0 108.715 * [backup-simplify]: Simplify 0 into 0 108.716 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 108.716 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 108.716 * [taylor]: Taking taylor expansion of 0 in J 108.716 * [backup-simplify]: Simplify 0 into 0 108.716 * [backup-simplify]: Simplify 0 into 0 108.716 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 108.717 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 108.717 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 108.718 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 108.719 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 108.720 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 108.720 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 108.721 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 108.722 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 108.722 * [backup-simplify]: Simplify (- 0) into 0 108.722 * [backup-simplify]: Simplify (+ 0 0) into 0 108.723 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 108.724 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 108.724 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 108.725 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 108.726 * [backup-simplify]: Simplify (+ 1 0) into 1 108.726 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 108.727 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 108.727 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 108.727 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 108.727 * [taylor]: Taking taylor expansion of -1/2 in K 108.727 * [backup-simplify]: Simplify -1/2 into -1/2 108.727 * [taylor]: Taking taylor expansion of K in K 108.727 * [backup-simplify]: Simplify 0 into 0 108.727 * [backup-simplify]: Simplify 1 into 1 108.727 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 108.727 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 108.727 * [taylor]: Taking taylor expansion of J in K 108.727 * [backup-simplify]: Simplify J into J 108.727 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 108.727 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 108.727 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 108.727 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 108.728 * [taylor]: Taking taylor expansion of -1/2 in J 108.728 * [backup-simplify]: Simplify -1/2 into -1/2 108.728 * [taylor]: Taking taylor expansion of K in J 108.728 * [backup-simplify]: Simplify K into K 108.728 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 108.728 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 108.728 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 108.728 * [taylor]: Taking taylor expansion of J in J 108.728 * [backup-simplify]: Simplify 0 into 0 108.728 * [backup-simplify]: Simplify 1 into 1 108.728 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 108.728 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 108.728 * [backup-simplify]: Simplify (- 0) into 0 108.729 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 108.729 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 108.729 * [backup-simplify]: Simplify (+ 0) into 0 108.730 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 108.730 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 108.730 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 108.731 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 108.731 * [backup-simplify]: Simplify (- 0) into 0 108.732 * [backup-simplify]: Simplify (+ 0 0) into 0 108.732 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 108.733 * [backup-simplify]: Simplify 0 into 0 108.733 * [taylor]: Taking taylor expansion of 0 in J 108.733 * [backup-simplify]: Simplify 0 into 0 108.733 * [backup-simplify]: Simplify 0 into 0 108.733 * [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 0 108.734 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 108.734 * [taylor]: Taking taylor expansion of 0 in J 108.734 * [backup-simplify]: Simplify 0 into 0 108.734 * [backup-simplify]: Simplify 0 into 0 108.734 * [backup-simplify]: Simplify 0 into 0 108.734 * [backup-simplify]: Simplify 0 into 0 108.734 * [backup-simplify]: Simplify (+ 0) into 0 108.735 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 108.735 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 108.736 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 108.736 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 108.737 * [backup-simplify]: Simplify (- 0) into 0 108.737 * [backup-simplify]: Simplify (+ 0 0) into 0 108.737 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 108.738 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 108.738 * [backup-simplify]: Simplify 0 into 0 108.738 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 108.738 * * * * [progress]: [ 3 / 4 ] generating series at (2) 108.740 * [backup-simplify]: Simplify (* (* (* (* (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2))) J) into (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) 108.740 * [approximate]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in (U K J) around 0 108.740 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J 108.740 * [taylor]: Taking taylor expansion of -2 in J 108.740 * [backup-simplify]: Simplify -2 into -2 108.740 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J 108.740 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 108.740 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 108.740 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 108.740 * [taylor]: Taking taylor expansion of 1/2 in J 108.740 * [backup-simplify]: Simplify 1/2 into 1/2 108.740 * [taylor]: Taking taylor expansion of K in J 108.740 * [backup-simplify]: Simplify K into K 108.740 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 108.740 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 108.740 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 108.740 * [taylor]: Taking taylor expansion of J in J 108.740 * [backup-simplify]: Simplify 0 into 0 108.740 * [backup-simplify]: Simplify 1 into 1 108.740 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 108.740 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 108.741 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 108.741 * [taylor]: Taking taylor expansion of 1/4 in J 108.741 * [backup-simplify]: Simplify 1/4 into 1/4 108.741 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 108.741 * [taylor]: Taking taylor expansion of (pow U 2) in J 108.741 * [taylor]: Taking taylor expansion of U in J 108.741 * [backup-simplify]: Simplify U into U 108.741 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 108.741 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 108.741 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 108.741 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 108.741 * [taylor]: Taking taylor expansion of 1/2 in J 108.741 * [backup-simplify]: Simplify 1/2 into 1/2 108.741 * [taylor]: Taking taylor expansion of K in J 108.741 * [backup-simplify]: Simplify K into K 108.741 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 108.741 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 108.741 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 108.741 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 108.741 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 108.742 * [backup-simplify]: Simplify (- 0) into 0 108.742 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 108.742 * [taylor]: Taking taylor expansion of (pow J 2) in J 108.742 * [taylor]: Taking taylor expansion of J in J 108.742 * [backup-simplify]: Simplify 0 into 0 108.742 * [backup-simplify]: Simplify 1 into 1 108.742 * [backup-simplify]: Simplify (* U U) into (pow U 2) 108.742 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 108.743 * [backup-simplify]: Simplify (* 1 1) into 1 108.743 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 108.743 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 108.743 * [taylor]: Taking taylor expansion of 1 in J 108.743 * [backup-simplify]: Simplify 1 into 1 108.743 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 108.743 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 108.744 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 108.744 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 108.744 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 108.745 * [backup-simplify]: Simplify (+ 0) into 0 108.745 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 108.746 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 108.746 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 108.747 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 108.747 * [backup-simplify]: Simplify (- 0) into 0 108.748 * [backup-simplify]: Simplify (+ 0 0) into 0 108.748 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 108.748 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 108.748 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 108.749 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 108.749 * [backup-simplify]: Simplify (+ 0 0) into 0 108.750 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 108.750 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in K 108.750 * [taylor]: Taking taylor expansion of -2 in K 108.750 * [backup-simplify]: Simplify -2 into -2 108.750 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in K 108.750 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 108.750 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 108.750 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 108.750 * [taylor]: Taking taylor expansion of 1/2 in K 108.750 * [backup-simplify]: Simplify 1/2 into 1/2 108.750 * [taylor]: Taking taylor expansion of K in K 108.750 * [backup-simplify]: Simplify 0 into 0 108.750 * [backup-simplify]: Simplify 1 into 1 108.750 * [backup-simplify]: Simplify (* 1/2 0) into 0 108.751 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 108.751 * [taylor]: Taking taylor expansion of J in K 108.751 * [backup-simplify]: Simplify J into J 108.751 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 108.751 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 108.751 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 108.751 * [taylor]: Taking taylor expansion of 1/4 in K 108.751 * [backup-simplify]: Simplify 1/4 into 1/4 108.751 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 108.751 * [taylor]: Taking taylor expansion of (pow U 2) in K 108.751 * [taylor]: Taking taylor expansion of U in K 108.752 * [backup-simplify]: Simplify U into U 108.752 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 108.752 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 108.752 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 108.752 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 108.752 * [taylor]: Taking taylor expansion of 1/2 in K 108.752 * [backup-simplify]: Simplify 1/2 into 1/2 108.752 * [taylor]: Taking taylor expansion of K in K 108.752 * [backup-simplify]: Simplify 0 into 0 108.752 * [backup-simplify]: Simplify 1 into 1 108.752 * [backup-simplify]: Simplify (* 1/2 0) into 0 108.753 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 108.753 * [taylor]: Taking taylor expansion of (pow J 2) in K 108.753 * [taylor]: Taking taylor expansion of J in K 108.753 * [backup-simplify]: Simplify J into J 108.753 * [backup-simplify]: Simplify (* U U) into (pow U 2) 108.753 * [backup-simplify]: Simplify (* 1 1) into 1 108.754 * [backup-simplify]: Simplify (* J J) into (pow J 2) 108.754 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 108.754 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 108.754 * [taylor]: Taking taylor expansion of 1 in K 108.754 * [backup-simplify]: Simplify 1 into 1 108.754 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 108.754 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 108.754 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 108.755 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 108.755 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 108.755 * [backup-simplify]: Simplify (+ 0) into 0 108.756 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 108.756 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 108.757 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 108.757 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 108.758 * [backup-simplify]: Simplify (+ 0 0) into 0 108.758 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 108.758 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 108.758 * [taylor]: Taking taylor expansion of -2 in U 108.758 * [backup-simplify]: Simplify -2 into -2 108.758 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 108.758 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 108.758 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 108.758 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 108.758 * [taylor]: Taking taylor expansion of 1/2 in U 108.758 * [backup-simplify]: Simplify 1/2 into 1/2 108.758 * [taylor]: Taking taylor expansion of K in U 108.758 * [backup-simplify]: Simplify K into K 108.758 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 108.758 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 108.758 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 108.758 * [taylor]: Taking taylor expansion of J in U 108.758 * [backup-simplify]: Simplify J into J 108.758 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 108.759 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 108.759 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 108.759 * [taylor]: Taking taylor expansion of 1/4 in U 108.759 * [backup-simplify]: Simplify 1/4 into 1/4 108.759 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 108.759 * [taylor]: Taking taylor expansion of (pow U 2) in U 108.759 * [taylor]: Taking taylor expansion of U in U 108.759 * [backup-simplify]: Simplify 0 into 0 108.759 * [backup-simplify]: Simplify 1 into 1 108.759 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 108.759 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 108.759 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 108.759 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 108.759 * [taylor]: Taking taylor expansion of 1/2 in U 108.759 * [backup-simplify]: Simplify 1/2 into 1/2 108.759 * [taylor]: Taking taylor expansion of K in U 108.759 * [backup-simplify]: Simplify K into K 108.759 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 108.759 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 108.759 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 108.759 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 108.759 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 108.760 * [backup-simplify]: Simplify (- 0) into 0 108.760 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 108.760 * [taylor]: Taking taylor expansion of (pow J 2) in U 108.760 * [taylor]: Taking taylor expansion of J in U 108.760 * [backup-simplify]: Simplify J into J 108.760 * [backup-simplify]: Simplify (* 1 1) into 1 108.760 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 108.760 * [backup-simplify]: Simplify (* J J) into (pow J 2) 108.761 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 108.761 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 108.761 * [taylor]: Taking taylor expansion of 1 in U 108.761 * [backup-simplify]: Simplify 1 into 1 108.761 * [backup-simplify]: Simplify (+ 0 1) into 1 108.762 * [backup-simplify]: Simplify (sqrt 1) into 1 108.762 * [backup-simplify]: Simplify (+ 0 0) into 0 108.763 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 108.763 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 108.763 * [taylor]: Taking taylor expansion of -2 in U 108.763 * [backup-simplify]: Simplify -2 into -2 108.763 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 108.763 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 108.763 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 108.763 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 108.763 * [taylor]: Taking taylor expansion of 1/2 in U 108.763 * [backup-simplify]: Simplify 1/2 into 1/2 108.763 * [taylor]: Taking taylor expansion of K in U 108.763 * [backup-simplify]: Simplify K into K 108.763 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 108.763 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 108.763 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 108.763 * [taylor]: Taking taylor expansion of J in U 108.763 * [backup-simplify]: Simplify J into J 108.763 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 108.763 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 108.763 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 108.763 * [taylor]: Taking taylor expansion of 1/4 in U 108.763 * [backup-simplify]: Simplify 1/4 into 1/4 108.763 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 108.763 * [taylor]: Taking taylor expansion of (pow U 2) in U 108.763 * [taylor]: Taking taylor expansion of U in U 108.763 * [backup-simplify]: Simplify 0 into 0 108.764 * [backup-simplify]: Simplify 1 into 1 108.764 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 108.764 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 108.764 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 108.764 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 108.764 * [taylor]: Taking taylor expansion of 1/2 in U 108.764 * [backup-simplify]: Simplify 1/2 into 1/2 108.764 * [taylor]: Taking taylor expansion of K in U 108.764 * [backup-simplify]: Simplify K into K 108.764 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 108.764 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 108.764 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 108.764 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 108.764 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 108.765 * [backup-simplify]: Simplify (- 0) into 0 108.765 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 108.765 * [taylor]: Taking taylor expansion of (pow J 2) in U 108.765 * [taylor]: Taking taylor expansion of J in U 108.765 * [backup-simplify]: Simplify J into J 108.765 * [backup-simplify]: Simplify (* 1 1) into 1 108.765 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 108.765 * [backup-simplify]: Simplify (* J J) into (pow J 2) 108.765 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 108.766 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 108.766 * [taylor]: Taking taylor expansion of 1 in U 108.766 * [backup-simplify]: Simplify 1 into 1 108.766 * [backup-simplify]: Simplify (+ 0 1) into 1 108.766 * [backup-simplify]: Simplify (sqrt 1) into 1 108.767 * [backup-simplify]: Simplify (+ 0 0) into 0 108.768 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 108.768 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 108.768 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 108.768 * [backup-simplify]: Simplify (- 0) into 0 108.768 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 108.768 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 108.768 * [backup-simplify]: Simplify (* (* (cos (* 1/2 K)) J) 1) into (* (cos (* 1/2 K)) J) 108.768 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J)) 108.768 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in K 108.768 * [taylor]: Taking taylor expansion of -2 in K 108.768 * [backup-simplify]: Simplify -2 into -2 108.768 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 108.768 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 108.768 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 108.768 * [taylor]: Taking taylor expansion of 1/2 in K 108.769 * [backup-simplify]: Simplify 1/2 into 1/2 108.769 * [taylor]: Taking taylor expansion of K in K 108.769 * [backup-simplify]: Simplify 0 into 0 108.769 * [backup-simplify]: Simplify 1 into 1 108.769 * [backup-simplify]: Simplify (* 1/2 0) into 0 108.769 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 108.769 * [taylor]: Taking taylor expansion of J in K 108.769 * [backup-simplify]: Simplify J into J 108.769 * [backup-simplify]: Simplify (* 1 J) into J 108.769 * [backup-simplify]: Simplify (* -2 J) into (* -2 J) 108.769 * [taylor]: Taking taylor expansion of (* -2 J) in J 108.769 * [taylor]: Taking taylor expansion of -2 in J 108.769 * [backup-simplify]: Simplify -2 into -2 108.769 * [taylor]: Taking taylor expansion of J in J 108.769 * [backup-simplify]: Simplify 0 into 0 108.769 * [backup-simplify]: Simplify 1 into 1 108.770 * [backup-simplify]: Simplify (+ 0) into 0 108.770 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 108.770 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 108.771 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 108.771 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 108.771 * [backup-simplify]: Simplify (- 0) into 0 108.771 * [backup-simplify]: Simplify (+ 0 0) into 0 108.772 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 108.772 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (* 0 1)) into 0 108.772 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0 108.772 * [taylor]: Taking taylor expansion of 0 in K 108.772 * [backup-simplify]: Simplify 0 into 0 108.772 * [taylor]: Taking taylor expansion of 0 in J 108.772 * [backup-simplify]: Simplify 0 into 0 108.773 * [backup-simplify]: Simplify (+ 0) into 0 108.773 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 108.773 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 J)) into 0 108.773 * [taylor]: Taking taylor expansion of 0 in J 108.773 * [backup-simplify]: Simplify 0 into 0 108.773 * [backup-simplify]: Simplify (* -2 0) into 0 108.773 * [backup-simplify]: Simplify 0 into 0 108.774 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 108.774 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 108.775 * [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))) 108.775 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 108.776 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 108.776 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 108.776 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 108.777 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 108.777 * [backup-simplify]: Simplify (- 0) into 0 108.777 * [backup-simplify]: Simplify (+ 0 0) into 0 108.778 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0 108.778 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 1))) into (* 1/8 (/ 1 (* (cos (* 1/2 K)) J))) 108.778 * [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)))) 108.779 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in K 108.779 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in K 108.779 * [taylor]: Taking taylor expansion of 1/4 in K 108.779 * [backup-simplify]: Simplify 1/4 into 1/4 108.779 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in K 108.779 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 108.779 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 108.779 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 108.779 * [taylor]: Taking taylor expansion of 1/2 in K 108.779 * [backup-simplify]: Simplify 1/2 into 1/2 108.779 * [taylor]: Taking taylor expansion of K in K 108.779 * [backup-simplify]: Simplify 0 into 0 108.779 * [backup-simplify]: Simplify 1 into 1 108.779 * [backup-simplify]: Simplify (* 1/2 0) into 0 108.779 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 108.779 * [taylor]: Taking taylor expansion of J in K 108.779 * [backup-simplify]: Simplify J into J 108.780 * [backup-simplify]: Simplify (* 1 J) into J 108.780 * [backup-simplify]: Simplify (/ 1 J) into (/ 1 J) 108.780 * [backup-simplify]: Simplify (* 1/4 (/ 1 J)) into (/ 1/4 J) 108.780 * [backup-simplify]: Simplify (- (/ 1/4 J)) into (- (* 1/4 (/ 1 J))) 108.780 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 J))) in J 108.780 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 J)) in J 108.780 * [taylor]: Taking taylor expansion of 1/4 in J 108.780 * [backup-simplify]: Simplify 1/4 into 1/4 108.780 * [taylor]: Taking taylor expansion of (/ 1 J) in J 108.780 * [taylor]: Taking taylor expansion of J in J 108.780 * [backup-simplify]: Simplify 0 into 0 108.780 * [backup-simplify]: Simplify 1 into 1 108.780 * [backup-simplify]: Simplify (/ 1 1) into 1 108.780 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 108.781 * [backup-simplify]: Simplify (- 1/4) into -1/4 108.781 * [backup-simplify]: Simplify -1/4 into -1/4 108.781 * [taylor]: Taking taylor expansion of 0 in J 108.781 * [backup-simplify]: Simplify 0 into 0 108.781 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 108.782 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J)) 108.782 * [backup-simplify]: Simplify (+ (* -2 (- (* 1/8 J))) (+ (* 0 0) (* 0 J))) into (* 1/4 J) 108.782 * [taylor]: Taking taylor expansion of (* 1/4 J) in J 108.782 * [taylor]: Taking taylor expansion of 1/4 in J 108.782 * [backup-simplify]: Simplify 1/4 into 1/4 108.782 * [taylor]: Taking taylor expansion of J in J 108.782 * [backup-simplify]: Simplify 0 into 0 108.782 * [backup-simplify]: Simplify 1 into 1 108.782 * [backup-simplify]: Simplify 0 into 0 108.782 * [backup-simplify]: Simplify 0 into 0 108.783 * [backup-simplify]: Simplify (+ (* -2 1) (* 0 0)) into -2 108.783 * [backup-simplify]: Simplify -2 into -2 108.783 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 108.783 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 108.784 * [backup-simplify]: Simplify (+ 0) into 0 108.784 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 108.784 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 108.785 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 108.785 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 108.785 * [backup-simplify]: Simplify (- 0) into 0 108.785 * [backup-simplify]: Simplify (+ 0 0) into 0 108.786 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 108.786 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 108.786 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 108.786 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 108.787 * [backup-simplify]: Simplify (+ 0 0) into 0 108.787 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 108.788 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 108.788 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 108.789 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 108.792 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 108.793 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 108.793 * [backup-simplify]: Simplify (- 0) into 0 108.794 * [backup-simplify]: Simplify (+ 0 0) into 0 108.794 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 108.795 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (+ (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 1)))) into 0 108.795 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0 108.795 * [taylor]: Taking taylor expansion of 0 in K 108.795 * [backup-simplify]: Simplify 0 into 0 108.795 * [taylor]: Taking taylor expansion of 0 in J 108.795 * [backup-simplify]: Simplify 0 into 0 108.796 * [backup-simplify]: Simplify (+ 0) into 0 108.796 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 108.796 * [backup-simplify]: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 108.796 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 J))) into 0 108.797 * [backup-simplify]: Simplify (- 0) into 0 108.797 * [taylor]: Taking taylor expansion of 0 in J 108.797 * [backup-simplify]: Simplify 0 into 0 108.797 * [taylor]: Taking taylor expansion of 0 in J 108.797 * [backup-simplify]: Simplify 0 into 0 108.797 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 108.798 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 108.799 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0 108.799 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (- (* 1/8 J))) (+ (* 0 0) (* 0 J)))) into 0 108.799 * [taylor]: Taking taylor expansion of 0 in J 108.799 * [backup-simplify]: Simplify 0 into 0 108.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 108.800 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 108.800 * [backup-simplify]: Simplify (- 0) into 0 108.800 * [backup-simplify]: Simplify 0 into 0 108.800 * [backup-simplify]: Simplify 0 into 0 108.801 * [backup-simplify]: Simplify (* 1/4 0) into 0 108.801 * [backup-simplify]: Simplify 0 into 0 108.801 * [backup-simplify]: Simplify 0 into 0 108.801 * [backup-simplify]: Simplify 0 into 0 108.801 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0 108.801 * [backup-simplify]: Simplify 0 into 0 108.802 * [backup-simplify]: Simplify (+ (* -2 (* J (* 1 1))) (* -1/4 (* (/ 1 J) (* 1 (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 108.802 * [backup-simplify]: Simplify (* (* (* (* (sqrt (sqrt (+ (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) 1))) (sqrt (sqrt (+ (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) 1)))) -2) (cos (/ (/ 1 K) 2))) (/ 1 J)) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) 108.803 * [approximate]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in (U K J) around 0 108.803 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in J 108.803 * [taylor]: Taking taylor expansion of -2 in J 108.803 * [backup-simplify]: Simplify -2 into -2 108.803 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in J 108.803 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 108.803 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 108.803 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 108.803 * [taylor]: Taking taylor expansion of 1/4 in J 108.803 * [backup-simplify]: Simplify 1/4 into 1/4 108.803 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 108.803 * [taylor]: Taking taylor expansion of (pow J 2) in J 108.803 * [taylor]: Taking taylor expansion of J in J 108.803 * [backup-simplify]: Simplify 0 into 0 108.803 * [backup-simplify]: Simplify 1 into 1 108.803 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 108.803 * [taylor]: Taking taylor expansion of (pow U 2) in J 108.803 * [taylor]: Taking taylor expansion of U in J 108.803 * [backup-simplify]: Simplify U into U 108.803 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 108.803 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 108.803 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 108.803 * [taylor]: Taking taylor expansion of 1/2 in J 108.803 * [backup-simplify]: Simplify 1/2 into 1/2 108.803 * [taylor]: Taking taylor expansion of K in J 108.803 * [backup-simplify]: Simplify K into K 108.803 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 108.803 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 108.803 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 108.803 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 108.803 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 108.803 * [backup-simplify]: Simplify (- 0) into 0 108.803 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 108.804 * [backup-simplify]: Simplify (* 1 1) into 1 108.804 * [backup-simplify]: Simplify (* U U) into (pow U 2) 108.804 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 108.804 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 108.804 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 108.804 * [taylor]: Taking taylor expansion of 1 in J 108.804 * [backup-simplify]: Simplify 1 into 1 108.804 * [backup-simplify]: Simplify (+ 0 1) into 1 108.805 * [backup-simplify]: Simplify (sqrt 1) into 1 108.805 * [backup-simplify]: Simplify (+ 0 0) into 0 108.805 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 108.805 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 108.805 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 108.805 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 108.805 * [taylor]: Taking taylor expansion of 1/2 in J 108.805 * [backup-simplify]: Simplify 1/2 into 1/2 108.805 * [taylor]: Taking taylor expansion of K in J 108.805 * [backup-simplify]: Simplify K into K 108.805 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 108.805 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 108.805 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 108.805 * [taylor]: Taking taylor expansion of J in J 108.805 * [backup-simplify]: Simplify 0 into 0 108.805 * [backup-simplify]: Simplify 1 into 1 108.806 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 108.806 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 108.806 * [backup-simplify]: Simplify (- 0) into 0 108.806 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 108.806 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 108.806 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in K 108.806 * [taylor]: Taking taylor expansion of -2 in K 108.806 * [backup-simplify]: Simplify -2 into -2 108.806 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in K 108.806 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 108.806 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 108.806 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 108.806 * [taylor]: Taking taylor expansion of 1/4 in K 108.806 * [backup-simplify]: Simplify 1/4 into 1/4 108.806 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 108.806 * [taylor]: Taking taylor expansion of (pow J 2) in K 108.806 * [taylor]: Taking taylor expansion of J in K 108.806 * [backup-simplify]: Simplify J into J 108.806 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 108.806 * [taylor]: Taking taylor expansion of (pow U 2) in K 108.806 * [taylor]: Taking taylor expansion of U in K 108.806 * [backup-simplify]: Simplify U into U 108.806 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 108.806 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 108.806 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 108.806 * [taylor]: Taking taylor expansion of 1/2 in K 108.806 * [backup-simplify]: Simplify 1/2 into 1/2 108.806 * [taylor]: Taking taylor expansion of K in K 108.806 * [backup-simplify]: Simplify 0 into 0 108.806 * [backup-simplify]: Simplify 1 into 1 108.807 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 108.807 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 108.807 * [backup-simplify]: Simplify (* J J) into (pow J 2) 108.807 * [backup-simplify]: Simplify (* U U) into (pow U 2) 108.807 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 108.807 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 108.807 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 108.807 * [taylor]: Taking taylor expansion of 1 in K 108.807 * [backup-simplify]: Simplify 1 into 1 108.807 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 108.807 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 108.808 * [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)) 108.808 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 108.808 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 108.808 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 108.808 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 108.809 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 108.810 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 108.810 * [backup-simplify]: Simplify (+ 0 0) into 0 108.810 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 108.810 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 108.810 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 108.811 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 108.811 * [taylor]: Taking taylor expansion of 1/2 in K 108.811 * [backup-simplify]: Simplify 1/2 into 1/2 108.811 * [taylor]: Taking taylor expansion of K in K 108.811 * [backup-simplify]: Simplify 0 into 0 108.811 * [backup-simplify]: Simplify 1 into 1 108.811 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 108.811 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 108.811 * [taylor]: Taking taylor expansion of J in K 108.811 * [backup-simplify]: Simplify J into J 108.811 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 108.812 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in U 108.812 * [taylor]: Taking taylor expansion of -2 in U 108.812 * [backup-simplify]: Simplify -2 into -2 108.812 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in U 108.812 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 108.812 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 108.812 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 108.812 * [taylor]: Taking taylor expansion of 1/4 in U 108.812 * [backup-simplify]: Simplify 1/4 into 1/4 108.812 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 108.812 * [taylor]: Taking taylor expansion of (pow J 2) in U 108.812 * [taylor]: Taking taylor expansion of J in U 108.812 * [backup-simplify]: Simplify J into J 108.812 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 108.812 * [taylor]: Taking taylor expansion of (pow U 2) in U 108.812 * [taylor]: Taking taylor expansion of U in U 108.812 * [backup-simplify]: Simplify 0 into 0 108.812 * [backup-simplify]: Simplify 1 into 1 108.812 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 108.812 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 108.812 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 108.812 * [taylor]: Taking taylor expansion of 1/2 in U 108.812 * [backup-simplify]: Simplify 1/2 into 1/2 108.812 * [taylor]: Taking taylor expansion of K in U 108.812 * [backup-simplify]: Simplify K into K 108.812 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 108.812 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 108.812 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 108.813 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 108.813 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 108.813 * [backup-simplify]: Simplify (- 0) into 0 108.813 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 108.813 * [backup-simplify]: Simplify (* J J) into (pow J 2) 108.814 * [backup-simplify]: Simplify (* 1 1) into 1 108.814 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 108.814 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 108.814 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 108.814 * [taylor]: Taking taylor expansion of 1 in U 108.814 * [backup-simplify]: Simplify 1 into 1 108.814 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 108.815 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 108.815 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 108.815 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 108.816 * [backup-simplify]: Simplify (+ 0) into 0 108.816 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 108.816 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 108.817 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 108.818 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 108.818 * [backup-simplify]: Simplify (- 0) into 0 108.819 * [backup-simplify]: Simplify (+ 0 0) into 0 108.819 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 108.820 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 108.820 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 108.821 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 108.821 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 108.822 * [backup-simplify]: Simplify (+ 0 0) into 0 108.822 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 108.822 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 108.822 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 108.822 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 108.822 * [taylor]: Taking taylor expansion of 1/2 in U 108.822 * [backup-simplify]: Simplify 1/2 into 1/2 108.822 * [taylor]: Taking taylor expansion of K in U 108.822 * [backup-simplify]: Simplify K into K 108.822 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 108.822 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 108.822 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 108.822 * [taylor]: Taking taylor expansion of J in U 108.822 * [backup-simplify]: Simplify J into J 108.823 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 108.823 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 108.823 * [backup-simplify]: Simplify (- 0) into 0 108.823 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 108.823 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 108.823 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in U 108.823 * [taylor]: Taking taylor expansion of -2 in U 108.823 * [backup-simplify]: Simplify -2 into -2 108.823 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in U 108.823 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 108.823 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 108.823 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 108.823 * [taylor]: Taking taylor expansion of 1/4 in U 108.823 * [backup-simplify]: Simplify 1/4 into 1/4 108.824 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 108.824 * [taylor]: Taking taylor expansion of (pow J 2) in U 108.824 * [taylor]: Taking taylor expansion of J in U 108.824 * [backup-simplify]: Simplify J into J 108.824 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 108.824 * [taylor]: Taking taylor expansion of (pow U 2) in U 108.824 * [taylor]: Taking taylor expansion of U in U 108.824 * [backup-simplify]: Simplify 0 into 0 108.824 * [backup-simplify]: Simplify 1 into 1 108.824 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 108.824 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 108.824 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 108.824 * [taylor]: Taking taylor expansion of 1/2 in U 108.824 * [backup-simplify]: Simplify 1/2 into 1/2 108.824 * [taylor]: Taking taylor expansion of K in U 108.824 * [backup-simplify]: Simplify K into K 108.824 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 108.824 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 108.824 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 108.824 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 108.824 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 108.825 * [backup-simplify]: Simplify (- 0) into 0 108.825 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 108.825 * [backup-simplify]: Simplify (* J J) into (pow J 2) 108.825 * [backup-simplify]: Simplify (* 1 1) into 1 108.825 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 108.826 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 108.826 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 108.826 * [taylor]: Taking taylor expansion of 1 in U 108.826 * [backup-simplify]: Simplify 1 into 1 108.826 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 108.826 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 108.826 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 108.827 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 108.827 * [backup-simplify]: Simplify (+ 0) into 0 108.828 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 108.828 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 108.828 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 108.829 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 108.829 * [backup-simplify]: Simplify (- 0) into 0 108.830 * [backup-simplify]: Simplify (+ 0 0) into 0 108.830 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 108.831 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 108.831 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 108.831 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 108.832 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 108.832 * [backup-simplify]: Simplify (+ 0 0) into 0 108.833 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 108.833 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 108.833 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 108.833 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 108.833 * [taylor]: Taking taylor expansion of 1/2 in U 108.833 * [backup-simplify]: Simplify 1/2 into 1/2 108.833 * [taylor]: Taking taylor expansion of K in U 108.833 * [backup-simplify]: Simplify K into K 108.833 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 108.833 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 108.833 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 108.833 * [taylor]: Taking taylor expansion of J in U 108.833 * [backup-simplify]: Simplify J into J 108.833 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 108.833 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 108.834 * [backup-simplify]: Simplify (- 0) into 0 108.834 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 108.834 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 108.834 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ (cos (/ 1/2 K)) J)) into 1/2 108.835 * [backup-simplify]: Simplify (* -2 1/2) into -1 108.835 * [taylor]: Taking taylor expansion of -1 in K 108.835 * [backup-simplify]: Simplify -1 into -1 108.835 * [taylor]: Taking taylor expansion of -1 in J 108.835 * [backup-simplify]: Simplify -1 into -1 108.835 * [backup-simplify]: Simplify (+ 0) into 0 108.836 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 108.836 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 108.837 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 108.837 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 108.838 * [backup-simplify]: Simplify (- 0) into 0 108.838 * [backup-simplify]: Simplify (+ 0 0) into 0 108.838 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 108.838 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (/ (cos (/ 1/2 K)) J))) into 0 108.839 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0 108.839 * [taylor]: Taking taylor expansion of 0 in K 108.839 * [backup-simplify]: Simplify 0 into 0 108.839 * [taylor]: Taking taylor expansion of 0 in J 108.839 * [backup-simplify]: Simplify 0 into 0 108.839 * [taylor]: Taking taylor expansion of 0 in J 108.839 * [backup-simplify]: Simplify 0 into 0 108.839 * [backup-simplify]: Simplify -1 into -1 108.841 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 108.841 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 108.841 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 108.842 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 108.843 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 108.843 * [backup-simplify]: Simplify (- 0) into 0 108.844 * [backup-simplify]: Simplify (+ 0 0) into 0 108.844 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 108.844 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 108.845 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 108.846 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 108.846 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 108.847 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 108.847 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 108.848 * [backup-simplify]: Simplify (- 0) into 0 108.848 * [backup-simplify]: Simplify (+ 0 0) into 0 108.849 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 108.850 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 108.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 108.851 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 108.852 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 108.852 * [backup-simplify]: Simplify (+ 0 1) into 1 108.853 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 108.854 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* (/ (cos (/ 1/2 K)) J) (/ (cos (/ 1/2 K)) J)))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 108.855 * [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)))) 108.855 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in K 108.855 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in K 108.855 * [taylor]: Taking taylor expansion of 2 in K 108.855 * [backup-simplify]: Simplify 2 into 2 108.855 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in K 108.855 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 108.855 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 108.855 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 108.855 * [taylor]: Taking taylor expansion of 1/2 in K 108.855 * [backup-simplify]: Simplify 1/2 into 1/2 108.855 * [taylor]: Taking taylor expansion of K in K 108.855 * [backup-simplify]: Simplify 0 into 0 108.855 * [backup-simplify]: Simplify 1 into 1 108.856 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 108.856 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 108.856 * [taylor]: Taking taylor expansion of (pow J 2) in K 108.856 * [taylor]: Taking taylor expansion of J in K 108.856 * [backup-simplify]: Simplify J into J 108.856 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 108.856 * [backup-simplify]: Simplify (* J J) into (pow J 2) 108.856 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 108.857 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) into (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 108.857 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) 108.857 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J 108.857 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J 108.857 * [taylor]: Taking taylor expansion of 2 in J 108.857 * [backup-simplify]: Simplify 2 into 2 108.857 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J 108.857 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 108.857 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 108.857 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 108.857 * [taylor]: Taking taylor expansion of 1/2 in J 108.857 * [backup-simplify]: Simplify 1/2 into 1/2 108.857 * [taylor]: Taking taylor expansion of K in J 108.857 * [backup-simplify]: Simplify K into K 108.857 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 108.857 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 108.857 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 108.858 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 108.858 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 108.858 * [backup-simplify]: Simplify (- 0) into 0 108.858 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 108.858 * [taylor]: Taking taylor expansion of (pow J 2) in J 108.858 * [taylor]: Taking taylor expansion of J in J 108.858 * [backup-simplify]: Simplify 0 into 0 108.858 * [backup-simplify]: Simplify 1 into 1 108.858 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 108.859 * [backup-simplify]: Simplify (* 1 1) into 1 108.859 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 108.859 * [backup-simplify]: Simplify (+ 0) into 0 108.860 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 108.860 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 108.860 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 108.861 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 108.861 * [backup-simplify]: Simplify (- 0) into 0 108.861 * [backup-simplify]: Simplify (+ 0 0) into 0 108.861 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 108.862 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 108.862 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 108.862 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 108.863 * [backup-simplify]: Simplify (- 0) into 0 108.863 * [backup-simplify]: Simplify 0 into 0 108.863 * [taylor]: Taking taylor expansion of 0 in J 108.863 * [backup-simplify]: Simplify 0 into 0 108.863 * [taylor]: Taking taylor expansion of 0 in J 108.863 * [backup-simplify]: Simplify 0 into 0 108.863 * [backup-simplify]: Simplify 0 into 0 108.863 * [backup-simplify]: Simplify 0 into 0 108.863 * [backup-simplify]: Simplify 0 into 0 108.863 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 108.864 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 108.864 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 108.865 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 108.865 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 108.865 * [backup-simplify]: Simplify (- 0) into 0 108.866 * [backup-simplify]: Simplify (+ 0 0) into 0 108.866 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 108.866 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 108.867 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 108.867 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 108.867 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 108.868 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 108.869 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 108.869 * [backup-simplify]: Simplify (- 0) into 0 108.869 * [backup-simplify]: Simplify (+ 0 0) into 0 108.870 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 108.870 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 108.871 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 108.871 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 108.872 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 108.872 * [backup-simplify]: Simplify (+ 0 0) into 0 108.873 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 108.873 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* (/ (cos (/ 1/2 K)) J) 0) (* 0 (/ (cos (/ 1/2 K)) J))))) into 0 108.874 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 108.874 * [taylor]: Taking taylor expansion of 0 in K 108.874 * [backup-simplify]: Simplify 0 into 0 108.874 * [taylor]: Taking taylor expansion of 0 in J 108.874 * [backup-simplify]: Simplify 0 into 0 108.874 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 108.874 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 108.874 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 108.874 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) into 0 108.875 * [backup-simplify]: Simplify (- 0) into 0 108.875 * [taylor]: Taking taylor expansion of 0 in J 108.875 * [backup-simplify]: Simplify 0 into 0 108.875 * [taylor]: Taking taylor expansion of 0 in J 108.875 * [backup-simplify]: Simplify 0 into 0 108.875 * [taylor]: Taking taylor expansion of 0 in J 108.875 * [backup-simplify]: Simplify 0 into 0 108.875 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 108.876 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 108.876 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 108.876 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 108.877 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 108.877 * [backup-simplify]: Simplify (- 0) into 0 108.877 * [backup-simplify]: Simplify (+ 0 0) into 0 108.877 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 108.878 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 108.879 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 108.879 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 108.880 * [backup-simplify]: Simplify (- 0) into 0 108.880 * [backup-simplify]: Simplify 0 into 0 108.880 * [backup-simplify]: Simplify 0 into 0 108.880 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U) 108.881 * [backup-simplify]: Simplify (* (* (* (* (sqrt (sqrt (+ (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) 1))) (sqrt (sqrt (+ (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) 1)))) -2) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- J))) into (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) 108.881 * [approximate]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in (U K J) around 0 108.881 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J 108.881 * [taylor]: Taking taylor expansion of 2 in J 108.881 * [backup-simplify]: Simplify 2 into 2 108.881 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 108.881 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 108.881 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 108.881 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 108.881 * [taylor]: Taking taylor expansion of -1/2 in J 108.881 * [backup-simplify]: Simplify -1/2 into -1/2 108.881 * [taylor]: Taking taylor expansion of K in J 108.881 * [backup-simplify]: Simplify K into K 108.881 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 108.881 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 108.881 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 108.881 * [taylor]: Taking taylor expansion of J in J 108.881 * [backup-simplify]: Simplify 0 into 0 108.881 * [backup-simplify]: Simplify 1 into 1 108.881 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 108.881 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 108.881 * [backup-simplify]: Simplify (- 0) into 0 108.881 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 108.881 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 108.881 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 108.881 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 108.881 * [taylor]: Taking taylor expansion of 1 in J 108.881 * [backup-simplify]: Simplify 1 into 1 108.882 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 108.882 * [taylor]: Taking taylor expansion of 1/4 in J 108.882 * [backup-simplify]: Simplify 1/4 into 1/4 108.882 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 108.882 * [taylor]: Taking taylor expansion of (pow J 2) in J 108.882 * [taylor]: Taking taylor expansion of J in J 108.882 * [backup-simplify]: Simplify 0 into 0 108.882 * [backup-simplify]: Simplify 1 into 1 108.882 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 108.882 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 108.882 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 108.882 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 108.882 * [taylor]: Taking taylor expansion of -1/2 in J 108.882 * [backup-simplify]: Simplify -1/2 into -1/2 108.882 * [taylor]: Taking taylor expansion of K in J 108.882 * [backup-simplify]: Simplify K into K 108.882 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 108.882 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 108.882 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 108.882 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 108.882 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 108.882 * [backup-simplify]: Simplify (- 0) into 0 108.882 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 108.882 * [taylor]: Taking taylor expansion of (pow U 2) in J 108.882 * [taylor]: Taking taylor expansion of U in J 108.882 * [backup-simplify]: Simplify U into U 108.883 * [backup-simplify]: Simplify (* 1 1) into 1 108.883 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 108.883 * [backup-simplify]: Simplify (* U U) into (pow U 2) 108.883 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 108.883 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 108.883 * [backup-simplify]: Simplify (+ 1 0) into 1 108.883 * [backup-simplify]: Simplify (sqrt 1) into 1 108.884 * [backup-simplify]: Simplify (+ 0 0) into 0 108.884 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 108.884 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K 108.884 * [taylor]: Taking taylor expansion of 2 in K 108.884 * [backup-simplify]: Simplify 2 into 2 108.884 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K 108.884 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 108.884 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 108.884 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 108.884 * [taylor]: Taking taylor expansion of -1/2 in K 108.884 * [backup-simplify]: Simplify -1/2 into -1/2 108.884 * [taylor]: Taking taylor expansion of K in K 108.884 * [backup-simplify]: Simplify 0 into 0 108.884 * [backup-simplify]: Simplify 1 into 1 108.884 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 108.884 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 108.885 * [taylor]: Taking taylor expansion of J in K 108.885 * [backup-simplify]: Simplify J into J 108.885 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 108.885 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 108.885 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 108.885 * [taylor]: Taking taylor expansion of 1 in K 108.885 * [backup-simplify]: Simplify 1 into 1 108.885 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 108.885 * [taylor]: Taking taylor expansion of 1/4 in K 108.885 * [backup-simplify]: Simplify 1/4 into 1/4 108.885 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 108.885 * [taylor]: Taking taylor expansion of (pow J 2) in K 108.885 * [taylor]: Taking taylor expansion of J in K 108.885 * [backup-simplify]: Simplify J into J 108.885 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 108.885 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 108.885 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 108.885 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 108.885 * [taylor]: Taking taylor expansion of -1/2 in K 108.885 * [backup-simplify]: Simplify -1/2 into -1/2 108.885 * [taylor]: Taking taylor expansion of K in K 108.885 * [backup-simplify]: Simplify 0 into 0 108.885 * [backup-simplify]: Simplify 1 into 1 108.885 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 108.885 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 108.885 * [taylor]: Taking taylor expansion of (pow U 2) in K 108.885 * [taylor]: Taking taylor expansion of U in K 108.885 * [backup-simplify]: Simplify U into U 108.885 * [backup-simplify]: Simplify (* J J) into (pow J 2) 108.885 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 108.885 * [backup-simplify]: Simplify (* U U) into (pow U 2) 108.886 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 108.886 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 108.886 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 108.886 * [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))))) 108.886 * [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)))))) 108.886 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 108.886 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 108.886 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 108.886 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 108.887 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 108.887 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 108.887 * [backup-simplify]: Simplify (+ 0 0) into 0 108.888 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 108.888 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 108.888 * [taylor]: Taking taylor expansion of 2 in U 108.888 * [backup-simplify]: Simplify 2 into 2 108.888 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 108.888 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 108.888 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 108.888 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 108.888 * [taylor]: Taking taylor expansion of -1/2 in U 108.888 * [backup-simplify]: Simplify -1/2 into -1/2 108.888 * [taylor]: Taking taylor expansion of K in U 108.888 * [backup-simplify]: Simplify K into K 108.888 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 108.888 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 108.888 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 108.888 * [taylor]: Taking taylor expansion of J in U 108.888 * [backup-simplify]: Simplify J into J 108.888 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 108.888 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 108.888 * [backup-simplify]: Simplify (- 0) into 0 108.888 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 108.889 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 108.889 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 108.889 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 108.889 * [taylor]: Taking taylor expansion of 1 in U 108.889 * [backup-simplify]: Simplify 1 into 1 108.889 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 108.889 * [taylor]: Taking taylor expansion of 1/4 in U 108.889 * [backup-simplify]: Simplify 1/4 into 1/4 108.889 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 108.889 * [taylor]: Taking taylor expansion of (pow J 2) in U 108.889 * [taylor]: Taking taylor expansion of J in U 108.889 * [backup-simplify]: Simplify J into J 108.889 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 108.889 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 108.889 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 108.889 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 108.889 * [taylor]: Taking taylor expansion of -1/2 in U 108.889 * [backup-simplify]: Simplify -1/2 into -1/2 108.889 * [taylor]: Taking taylor expansion of K in U 108.889 * [backup-simplify]: Simplify K into K 108.889 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 108.889 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 108.889 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 108.889 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 108.889 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 108.889 * [backup-simplify]: Simplify (- 0) into 0 108.889 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 108.889 * [taylor]: Taking taylor expansion of (pow U 2) in U 108.889 * [taylor]: Taking taylor expansion of U in U 108.889 * [backup-simplify]: Simplify 0 into 0 108.889 * [backup-simplify]: Simplify 1 into 1 108.889 * [backup-simplify]: Simplify (* J J) into (pow J 2) 108.890 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 108.890 * [backup-simplify]: Simplify (* 1 1) into 1 108.890 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 108.890 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 108.890 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 108.890 * [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))) 108.890 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 108.890 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 108.891 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 108.891 * [backup-simplify]: Simplify (+ 0) into 0 108.892 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 108.892 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 108.892 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 108.892 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 108.893 * [backup-simplify]: Simplify (- 0) into 0 108.893 * [backup-simplify]: Simplify (+ 0 0) into 0 108.893 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 108.893 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 108.894 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 108.894 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 108.894 * [backup-simplify]: Simplify (+ 0 0) into 0 108.894 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 108.894 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 108.894 * [taylor]: Taking taylor expansion of 2 in U 108.894 * [backup-simplify]: Simplify 2 into 2 108.894 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 108.894 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 108.894 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 108.894 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 108.894 * [taylor]: Taking taylor expansion of -1/2 in U 108.894 * [backup-simplify]: Simplify -1/2 into -1/2 108.894 * [taylor]: Taking taylor expansion of K in U 108.895 * [backup-simplify]: Simplify K into K 108.895 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 108.895 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 108.895 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 108.895 * [taylor]: Taking taylor expansion of J in U 108.895 * [backup-simplify]: Simplify J into J 108.895 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 108.895 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 108.895 * [backup-simplify]: Simplify (- 0) into 0 108.895 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 108.895 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 108.895 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 108.895 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 108.895 * [taylor]: Taking taylor expansion of 1 in U 108.895 * [backup-simplify]: Simplify 1 into 1 108.895 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 108.895 * [taylor]: Taking taylor expansion of 1/4 in U 108.895 * [backup-simplify]: Simplify 1/4 into 1/4 108.895 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 108.895 * [taylor]: Taking taylor expansion of (pow J 2) in U 108.895 * [taylor]: Taking taylor expansion of J in U 108.895 * [backup-simplify]: Simplify J into J 108.895 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 108.895 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 108.895 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 108.895 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 108.895 * [taylor]: Taking taylor expansion of -1/2 in U 108.895 * [backup-simplify]: Simplify -1/2 into -1/2 108.895 * [taylor]: Taking taylor expansion of K in U 108.895 * [backup-simplify]: Simplify K into K 108.895 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 108.895 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 108.896 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 108.896 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 108.896 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 108.896 * [backup-simplify]: Simplify (- 0) into 0 108.896 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 108.896 * [taylor]: Taking taylor expansion of (pow U 2) in U 108.896 * [taylor]: Taking taylor expansion of U in U 108.896 * [backup-simplify]: Simplify 0 into 0 108.896 * [backup-simplify]: Simplify 1 into 1 108.896 * [backup-simplify]: Simplify (* J J) into (pow J 2) 108.896 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 108.896 * [backup-simplify]: Simplify (* 1 1) into 1 108.896 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 108.897 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 108.897 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 108.897 * [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))) 108.897 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 108.897 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 108.897 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 108.898 * [backup-simplify]: Simplify (+ 0) into 0 108.898 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 108.898 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 108.898 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 108.899 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 108.899 * [backup-simplify]: Simplify (- 0) into 0 108.899 * [backup-simplify]: Simplify (+ 0 0) into 0 108.899 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 108.900 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 108.900 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 108.900 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 108.901 * [backup-simplify]: Simplify (+ 0 0) into 0 108.901 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 108.901 * [backup-simplify]: Simplify (* (/ (cos (/ -1/2 K)) J) (* 1/2 (/ J (cos (/ -1/2 K))))) into 1/2 108.901 * [backup-simplify]: Simplify (* 2 1/2) into 1 108.901 * [taylor]: Taking taylor expansion of 1 in K 108.901 * [backup-simplify]: Simplify 1 into 1 108.901 * [taylor]: Taking taylor expansion of 1 in J 108.901 * [backup-simplify]: Simplify 1 into 1 108.902 * [backup-simplify]: Simplify (+ 0) into 0 108.905 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 108.906 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 108.907 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 108.908 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 108.908 * [backup-simplify]: Simplify (- 0) into 0 108.908 * [backup-simplify]: Simplify (+ 0 0) into 0 108.909 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0 108.909 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 108.910 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0 108.910 * [taylor]: Taking taylor expansion of 0 in K 108.910 * [backup-simplify]: Simplify 0 into 0 108.910 * [taylor]: Taking taylor expansion of 0 in J 108.910 * [backup-simplify]: Simplify 0 into 0 108.910 * [taylor]: Taking taylor expansion of 0 in J 108.910 * [backup-simplify]: Simplify 0 into 0 108.910 * [backup-simplify]: Simplify 1 into 1 108.910 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 108.911 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 108.912 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 108.913 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 108.913 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 108.914 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 108.914 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 108.915 * [backup-simplify]: Simplify (- 0) into 0 108.915 * [backup-simplify]: Simplify (+ 0 0) into 0 108.916 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 108.916 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 108.916 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 108.917 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 108.917 * [backup-simplify]: Simplify (+ 1 0) into 1 108.918 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 108.918 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 108.919 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 108.919 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 108.919 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 108.920 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 108.920 * [backup-simplify]: Simplify (- 0) into 0 108.920 * [backup-simplify]: Simplify (+ 0 0) into 0 108.920 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 108.921 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 108.921 * [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))) 108.921 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in K 108.921 * [taylor]: Taking taylor expansion of 2 in K 108.921 * [backup-simplify]: Simplify 2 into 2 108.921 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in K 108.921 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 108.921 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 108.921 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 108.921 * [taylor]: Taking taylor expansion of -1/2 in K 108.921 * [backup-simplify]: Simplify -1/2 into -1/2 108.921 * [taylor]: Taking taylor expansion of K in K 108.921 * [backup-simplify]: Simplify 0 into 0 108.921 * [backup-simplify]: Simplify 1 into 1 108.922 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 108.922 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 108.922 * [taylor]: Taking taylor expansion of (pow J 2) in K 108.922 * [taylor]: Taking taylor expansion of J in K 108.922 * [backup-simplify]: Simplify J into J 108.922 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 108.922 * [backup-simplify]: Simplify (* J J) into (pow J 2) 108.922 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 108.922 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 108.922 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J 108.922 * [taylor]: Taking taylor expansion of 2 in J 108.922 * [backup-simplify]: Simplify 2 into 2 108.922 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J 108.922 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 108.922 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 108.922 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 108.922 * [taylor]: Taking taylor expansion of -1/2 in J 108.922 * [backup-simplify]: Simplify -1/2 into -1/2 108.922 * [taylor]: Taking taylor expansion of K in J 108.922 * [backup-simplify]: Simplify K into K 108.922 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 108.922 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 108.922 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 108.922 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 108.922 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 108.923 * [backup-simplify]: Simplify (- 0) into 0 108.923 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 108.923 * [taylor]: Taking taylor expansion of (pow J 2) in J 108.923 * [taylor]: Taking taylor expansion of J in J 108.923 * [backup-simplify]: Simplify 0 into 0 108.923 * [backup-simplify]: Simplify 1 into 1 108.923 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 108.923 * [backup-simplify]: Simplify (* 1 1) into 1 108.923 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 108.923 * [backup-simplify]: Simplify (+ 0) into 0 108.924 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 108.924 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 108.924 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 108.925 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 108.925 * [backup-simplify]: Simplify (- 0) into 0 108.925 * [backup-simplify]: Simplify (+ 0 0) into 0 108.925 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 108.926 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 108.926 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 108.927 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 108.927 * [backup-simplify]: Simplify 0 into 0 108.927 * [taylor]: Taking taylor expansion of 0 in J 108.927 * [backup-simplify]: Simplify 0 into 0 108.927 * [taylor]: Taking taylor expansion of 0 in J 108.927 * [backup-simplify]: Simplify 0 into 0 108.927 * [backup-simplify]: Simplify 0 into 0 108.927 * [backup-simplify]: Simplify 0 into 0 108.927 * [backup-simplify]: Simplify 0 into 0 108.927 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 108.928 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 108.928 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 108.929 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 108.929 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 108.930 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 108.931 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 108.931 * [backup-simplify]: Simplify (- 0) into 0 108.931 * [backup-simplify]: Simplify (+ 0 0) into 0 108.932 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 108.932 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 108.932 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 108.933 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 108.934 * [backup-simplify]: Simplify (+ 0 0) into 0 108.934 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 108.934 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 108.935 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 108.935 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 108.936 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 108.936 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 108.936 * [backup-simplify]: Simplify (- 0) into 0 108.937 * [backup-simplify]: Simplify (+ 0 0) into 0 108.937 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 108.937 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (+ (* 0 (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0 108.938 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 108.938 * [taylor]: Taking taylor expansion of 0 in K 108.938 * [backup-simplify]: Simplify 0 into 0 108.938 * [taylor]: Taking taylor expansion of 0 in J 108.938 * [backup-simplify]: Simplify 0 into 0 108.938 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 108.938 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 108.938 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 108.939 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) into 0 108.939 * [taylor]: Taking taylor expansion of 0 in J 108.939 * [backup-simplify]: Simplify 0 into 0 108.939 * [taylor]: Taking taylor expansion of 0 in J 108.939 * [backup-simplify]: Simplify 0 into 0 108.939 * [taylor]: Taking taylor expansion of 0 in J 108.939 * [backup-simplify]: Simplify 0 into 0 108.939 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 108.940 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 108.940 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 108.940 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 108.941 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 108.941 * [backup-simplify]: Simplify (- 0) into 0 108.941 * [backup-simplify]: Simplify (+ 0 0) into 0 108.941 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 108.942 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 108.943 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 108.943 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0 108.943 * [backup-simplify]: Simplify 0 into 0 108.943 * [backup-simplify]: Simplify 0 into 0 108.943 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U) 108.943 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 2) 108.944 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) into (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) 108.944 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in (U K J) around 0 108.944 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in J 108.944 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J 108.944 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J 108.944 * [taylor]: Taking taylor expansion of 1/4 in J 108.944 * [backup-simplify]: Simplify 1/4 into 1/4 108.944 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 108.944 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 108.944 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 108.944 * [taylor]: Taking taylor expansion of 1/4 in J 108.944 * [backup-simplify]: Simplify 1/4 into 1/4 108.944 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 108.944 * [taylor]: Taking taylor expansion of (pow U 2) in J 108.944 * [taylor]: Taking taylor expansion of U in J 108.944 * [backup-simplify]: Simplify U into U 108.944 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 108.944 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 108.944 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 108.944 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 108.944 * [taylor]: Taking taylor expansion of 1/2 in J 108.944 * [backup-simplify]: Simplify 1/2 into 1/2 108.944 * [taylor]: Taking taylor expansion of K in J 108.944 * [backup-simplify]: Simplify K into K 108.944 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 108.944 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 108.944 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 108.944 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 108.944 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 108.945 * [backup-simplify]: Simplify (- 0) into 0 108.945 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 108.945 * [taylor]: Taking taylor expansion of (pow J 2) in J 108.945 * [taylor]: Taking taylor expansion of J in J 108.945 * [backup-simplify]: Simplify 0 into 0 108.945 * [backup-simplify]: Simplify 1 into 1 108.945 * [backup-simplify]: Simplify (* U U) into (pow U 2) 108.945 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 108.945 * [backup-simplify]: Simplify (* 1 1) into 1 108.945 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 108.945 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 108.945 * [taylor]: Taking taylor expansion of 1 in J 108.945 * [backup-simplify]: Simplify 1 into 1 108.945 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 108.946 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 108.946 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) 108.946 * [backup-simplify]: Simplify (+ (* (- 2) (log J)) (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))) 108.946 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) into (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) 108.946 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) 108.946 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in K 108.947 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in K 108.947 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in K 108.947 * [taylor]: Taking taylor expansion of 1/4 in K 108.947 * [backup-simplify]: Simplify 1/4 into 1/4 108.947 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 108.947 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 108.947 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 108.947 * [taylor]: Taking taylor expansion of 1/4 in K 108.947 * [backup-simplify]: Simplify 1/4 into 1/4 108.947 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 108.947 * [taylor]: Taking taylor expansion of (pow U 2) in K 108.947 * [taylor]: Taking taylor expansion of U in K 108.947 * [backup-simplify]: Simplify U into U 108.947 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 108.947 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 108.947 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 108.947 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 108.947 * [taylor]: Taking taylor expansion of 1/2 in K 108.947 * [backup-simplify]: Simplify 1/2 into 1/2 108.947 * [taylor]: Taking taylor expansion of K in K 108.947 * [backup-simplify]: Simplify 0 into 0 108.947 * [backup-simplify]: Simplify 1 into 1 108.947 * [backup-simplify]: Simplify (* 1/2 0) into 0 108.948 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 108.948 * [taylor]: Taking taylor expansion of (pow J 2) in K 108.948 * [taylor]: Taking taylor expansion of J in K 108.948 * [backup-simplify]: Simplify J into J 108.948 * [backup-simplify]: Simplify (* U U) into (pow U 2) 108.948 * [backup-simplify]: Simplify (* 1 1) into 1 108.948 * [backup-simplify]: Simplify (* J J) into (pow J 2) 108.948 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 108.948 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 108.948 * [taylor]: Taking taylor expansion of 1 in K 108.948 * [backup-simplify]: Simplify 1 into 1 108.948 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 108.948 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 108.948 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 108.949 * [backup-simplify]: Simplify (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) 108.949 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4) 108.949 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in U 108.949 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 108.949 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 108.949 * [taylor]: Taking taylor expansion of 1/4 in U 108.949 * [backup-simplify]: Simplify 1/4 into 1/4 108.949 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 108.949 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 108.949 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 108.949 * [taylor]: Taking taylor expansion of 1/4 in U 108.949 * [backup-simplify]: Simplify 1/4 into 1/4 108.949 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 108.949 * [taylor]: Taking taylor expansion of (pow U 2) in U 108.949 * [taylor]: Taking taylor expansion of U in U 108.949 * [backup-simplify]: Simplify 0 into 0 108.949 * [backup-simplify]: Simplify 1 into 1 108.949 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 108.949 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 108.949 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 108.949 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 108.949 * [taylor]: Taking taylor expansion of 1/2 in U 108.949 * [backup-simplify]: Simplify 1/2 into 1/2 108.949 * [taylor]: Taking taylor expansion of K in U 108.949 * [backup-simplify]: Simplify K into K 108.949 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 108.949 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 108.949 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 108.949 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 108.949 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 108.950 * [backup-simplify]: Simplify (- 0) into 0 108.950 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 108.950 * [taylor]: Taking taylor expansion of (pow J 2) in U 108.950 * [taylor]: Taking taylor expansion of J in U 108.950 * [backup-simplify]: Simplify J into J 108.950 * [backup-simplify]: Simplify (* 1 1) into 1 108.950 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 108.950 * [backup-simplify]: Simplify (* J J) into (pow J 2) 108.950 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 108.950 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 108.950 * [taylor]: Taking taylor expansion of 1 in U 108.950 * [backup-simplify]: Simplify 1 into 1 108.951 * [backup-simplify]: Simplify (+ 0 1) into 1 108.951 * [backup-simplify]: Simplify (log 1) into 0 108.951 * [backup-simplify]: Simplify (* 1/4 0) into 0 108.952 * [backup-simplify]: Simplify (+ 0 0) into 0 108.952 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 108.953 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 108.953 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 108.953 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 108.954 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 108.954 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 108.955 * [backup-simplify]: Simplify (exp 0) into 1 108.955 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in U 108.955 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 108.955 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 108.955 * [taylor]: Taking taylor expansion of 1/4 in U 108.955 * [backup-simplify]: Simplify 1/4 into 1/4 108.955 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 108.955 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 108.955 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 108.955 * [taylor]: Taking taylor expansion of 1/4 in U 108.955 * [backup-simplify]: Simplify 1/4 into 1/4 108.955 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 108.955 * [taylor]: Taking taylor expansion of (pow U 2) in U 108.955 * [taylor]: Taking taylor expansion of U in U 108.955 * [backup-simplify]: Simplify 0 into 0 108.955 * [backup-simplify]: Simplify 1 into 1 108.955 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 108.955 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 108.955 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 108.955 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 108.955 * [taylor]: Taking taylor expansion of 1/2 in U 108.955 * [backup-simplify]: Simplify 1/2 into 1/2 108.955 * [taylor]: Taking taylor expansion of K in U 108.955 * [backup-simplify]: Simplify K into K 108.955 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 108.955 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 108.955 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 108.955 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 108.955 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 108.955 * [backup-simplify]: Simplify (- 0) into 0 108.955 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 108.955 * [taylor]: Taking taylor expansion of (pow J 2) in U 108.955 * [taylor]: Taking taylor expansion of J in U 108.955 * [backup-simplify]: Simplify J into J 108.956 * [backup-simplify]: Simplify (* 1 1) into 1 108.956 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 108.956 * [backup-simplify]: Simplify (* J J) into (pow J 2) 108.956 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 108.956 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 108.956 * [taylor]: Taking taylor expansion of 1 in U 108.956 * [backup-simplify]: Simplify 1 into 1 108.956 * [backup-simplify]: Simplify (+ 0 1) into 1 108.957 * [backup-simplify]: Simplify (log 1) into 0 108.957 * [backup-simplify]: Simplify (* 1/4 0) into 0 108.957 * [backup-simplify]: Simplify (+ 0 0) into 0 108.958 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 108.958 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 108.958 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 108.958 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 108.960 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 108.960 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 108.960 * [backup-simplify]: Simplify (exp 0) into 1 108.960 * [taylor]: Taking taylor expansion of 1 in K 108.960 * [backup-simplify]: Simplify 1 into 1 108.960 * [taylor]: Taking taylor expansion of 1 in J 108.960 * [backup-simplify]: Simplify 1 into 1 108.960 * [backup-simplify]: Simplify 1 into 1 108.961 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 108.961 * [taylor]: Taking taylor expansion of 0 in K 108.961 * [backup-simplify]: Simplify 0 into 0 108.961 * [taylor]: Taking taylor expansion of 0 in J 108.961 * [backup-simplify]: Simplify 0 into 0 108.961 * [backup-simplify]: Simplify 0 into 0 108.961 * [taylor]: Taking taylor expansion of 0 in J 108.961 * [backup-simplify]: Simplify 0 into 0 108.961 * [backup-simplify]: Simplify 0 into 0 108.961 * [backup-simplify]: Simplify 0 into 0 108.962 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1)))) into (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 108.962 * [taylor]: Taking taylor expansion of (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 108.962 * [taylor]: Taking taylor expansion of 1/16 in K 108.962 * [backup-simplify]: Simplify 1/16 into 1/16 108.962 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 108.962 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 108.962 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 108.962 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 108.962 * [taylor]: Taking taylor expansion of 1/2 in K 108.962 * [backup-simplify]: Simplify 1/2 into 1/2 108.962 * [taylor]: Taking taylor expansion of K in K 108.962 * [backup-simplify]: Simplify 0 into 0 108.962 * [backup-simplify]: Simplify 1 into 1 108.962 * [backup-simplify]: Simplify (* 1/2 0) into 0 108.962 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 108.963 * [taylor]: Taking taylor expansion of (pow J 2) in K 108.963 * [taylor]: Taking taylor expansion of J in K 108.963 * [backup-simplify]: Simplify J into J 108.963 * [backup-simplify]: Simplify (* 1 1) into 1 108.963 * [backup-simplify]: Simplify (* J J) into (pow J 2) 108.963 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 108.963 * [backup-simplify]: Simplify (/ 1/16 (pow J 2)) into (/ 1/16 (pow J 2)) 108.963 * [taylor]: Taking taylor expansion of (/ 1/16 (pow J 2)) in J 108.963 * [taylor]: Taking taylor expansion of 1/16 in J 108.963 * [backup-simplify]: Simplify 1/16 into 1/16 108.963 * [taylor]: Taking taylor expansion of (pow J 2) in J 108.963 * [taylor]: Taking taylor expansion of J in J 108.963 * [backup-simplify]: Simplify 0 into 0 108.963 * [backup-simplify]: Simplify 1 into 1 108.963 * [backup-simplify]: Simplify (* 1 1) into 1 108.964 * [backup-simplify]: Simplify (/ 1/16 1) into 1/16 108.964 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 108.964 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 108.965 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/16 (/ 0 1)))) into 0 108.965 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/16 (/ 0 1)) (* 0 (/ 0 1)))) into 0 108.965 * [backup-simplify]: Simplify 0 into 0 108.966 * [taylor]: Taking taylor expansion of 0 in J 108.966 * [backup-simplify]: Simplify 0 into 0 108.966 * [backup-simplify]: Simplify 0 into 0 108.966 * [taylor]: Taking taylor expansion of 0 in J 108.966 * [backup-simplify]: Simplify 0 into 0 108.966 * [backup-simplify]: Simplify 0 into 0 108.966 * [backup-simplify]: Simplify 1 into 1 108.966 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) 1))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) 108.966 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in (U K J) around 0 108.966 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in J 108.966 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in J 108.966 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in J 108.966 * [taylor]: Taking taylor expansion of 1/4 in J 108.966 * [backup-simplify]: Simplify 1/4 into 1/4 108.966 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 108.966 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 108.966 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 108.966 * [taylor]: Taking taylor expansion of 1/4 in J 108.966 * [backup-simplify]: Simplify 1/4 into 1/4 108.966 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 108.966 * [taylor]: Taking taylor expansion of (pow J 2) in J 108.966 * [taylor]: Taking taylor expansion of J in J 108.966 * [backup-simplify]: Simplify 0 into 0 108.966 * [backup-simplify]: Simplify 1 into 1 108.966 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 108.966 * [taylor]: Taking taylor expansion of (pow U 2) in J 108.966 * [taylor]: Taking taylor expansion of U in J 108.966 * [backup-simplify]: Simplify U into U 108.966 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 108.966 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 108.966 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 108.966 * [taylor]: Taking taylor expansion of 1/2 in J 108.966 * [backup-simplify]: Simplify 1/2 into 1/2 108.966 * [taylor]: Taking taylor expansion of K in J 108.966 * [backup-simplify]: Simplify K into K 108.967 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 108.967 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 108.967 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 108.967 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 108.967 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 108.967 * [backup-simplify]: Simplify (- 0) into 0 108.967 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 108.967 * [backup-simplify]: Simplify (* 1 1) into 1 108.967 * [backup-simplify]: Simplify (* U U) into (pow U 2) 108.967 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 108.967 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 108.968 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 108.968 * [taylor]: Taking taylor expansion of 1 in J 108.968 * [backup-simplify]: Simplify 1 into 1 108.968 * [backup-simplify]: Simplify (+ 0 1) into 1 108.968 * [backup-simplify]: Simplify (log 1) into 0 108.968 * [backup-simplify]: Simplify (* 1/4 0) into 0 108.969 * [backup-simplify]: Simplify (+ 0 0) into 0 108.969 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 108.970 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 108.970 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 108.970 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 108.971 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 108.972 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 108.972 * [backup-simplify]: Simplify (exp 0) into 1 108.972 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in K 108.972 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in K 108.972 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in K 108.972 * [taylor]: Taking taylor expansion of 1/4 in K 108.972 * [backup-simplify]: Simplify 1/4 into 1/4 108.972 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 108.972 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 108.972 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 108.972 * [taylor]: Taking taylor expansion of 1/4 in K 108.972 * [backup-simplify]: Simplify 1/4 into 1/4 108.972 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 108.972 * [taylor]: Taking taylor expansion of (pow J 2) in K 108.972 * [taylor]: Taking taylor expansion of J in K 108.972 * [backup-simplify]: Simplify J into J 108.972 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 108.972 * [taylor]: Taking taylor expansion of (pow U 2) in K 108.972 * [taylor]: Taking taylor expansion of U in K 108.972 * [backup-simplify]: Simplify U into U 108.972 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 108.972 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 108.972 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 108.972 * [taylor]: Taking taylor expansion of 1/2 in K 108.972 * [backup-simplify]: Simplify 1/2 into 1/2 108.972 * [taylor]: Taking taylor expansion of K in K 108.972 * [backup-simplify]: Simplify 0 into 0 108.972 * [backup-simplify]: Simplify 1 into 1 108.972 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 108.972 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 108.972 * [backup-simplify]: Simplify (* J J) into (pow J 2) 108.973 * [backup-simplify]: Simplify (* U U) into (pow U 2) 108.973 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 108.973 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 108.973 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 108.973 * [taylor]: Taking taylor expansion of 1 in K 108.973 * [backup-simplify]: Simplify 1 into 1 108.973 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 108.973 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 108.973 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 108.974 * [backup-simplify]: Simplify (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) 108.974 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) 108.974 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in U 108.974 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U 108.974 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U 108.974 * [taylor]: Taking taylor expansion of 1/4 in U 108.974 * [backup-simplify]: Simplify 1/4 into 1/4 108.974 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 108.974 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 108.974 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 108.974 * [taylor]: Taking taylor expansion of 1/4 in U 108.974 * [backup-simplify]: Simplify 1/4 into 1/4 108.974 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 108.974 * [taylor]: Taking taylor expansion of (pow J 2) in U 108.974 * [taylor]: Taking taylor expansion of J in U 108.974 * [backup-simplify]: Simplify J into J 108.974 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 108.974 * [taylor]: Taking taylor expansion of (pow U 2) in U 108.974 * [taylor]: Taking taylor expansion of U in U 108.974 * [backup-simplify]: Simplify 0 into 0 108.974 * [backup-simplify]: Simplify 1 into 1 108.974 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 108.974 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 108.974 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 108.974 * [taylor]: Taking taylor expansion of 1/2 in U 108.974 * [backup-simplify]: Simplify 1/2 into 1/2 108.974 * [taylor]: Taking taylor expansion of K in U 108.974 * [backup-simplify]: Simplify K into K 108.974 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 108.974 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 108.974 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 108.974 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 108.975 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 108.975 * [backup-simplify]: Simplify (- 0) into 0 108.975 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 108.975 * [backup-simplify]: Simplify (* J J) into (pow J 2) 108.975 * [backup-simplify]: Simplify (* 1 1) into 1 108.975 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 108.975 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 108.975 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 108.975 * [taylor]: Taking taylor expansion of 1 in U 108.975 * [backup-simplify]: Simplify 1 into 1 108.976 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 108.976 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 108.976 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 108.976 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 108.976 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 108.977 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 108.977 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in U 108.977 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U 108.977 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U 108.977 * [taylor]: Taking taylor expansion of 1/4 in U 108.977 * [backup-simplify]: Simplify 1/4 into 1/4 108.977 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 108.977 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 108.977 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 108.977 * [taylor]: Taking taylor expansion of 1/4 in U 108.977 * [backup-simplify]: Simplify 1/4 into 1/4 108.977 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 108.977 * [taylor]: Taking taylor expansion of (pow J 2) in U 108.977 * [taylor]: Taking taylor expansion of J in U 108.977 * [backup-simplify]: Simplify J into J 108.977 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 108.977 * [taylor]: Taking taylor expansion of (pow U 2) in U 108.977 * [taylor]: Taking taylor expansion of U in U 108.977 * [backup-simplify]: Simplify 0 into 0 108.977 * [backup-simplify]: Simplify 1 into 1 108.977 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 108.977 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 108.977 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 108.977 * [taylor]: Taking taylor expansion of 1/2 in U 108.977 * [backup-simplify]: Simplify 1/2 into 1/2 108.977 * [taylor]: Taking taylor expansion of K in U 108.977 * [backup-simplify]: Simplify K into K 108.977 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 108.977 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 108.977 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 108.977 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 108.977 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 108.977 * [backup-simplify]: Simplify (- 0) into 0 108.978 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 108.978 * [backup-simplify]: Simplify (* J J) into (pow J 2) 108.978 * [backup-simplify]: Simplify (* 1 1) into 1 108.978 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 108.978 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 108.978 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 108.978 * [taylor]: Taking taylor expansion of 1 in U 108.978 * [backup-simplify]: Simplify 1 into 1 108.978 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 108.978 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 108.978 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 108.979 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 108.979 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 108.979 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 108.979 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in K 108.979 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in K 108.979 * [taylor]: Taking taylor expansion of 1/4 in K 108.979 * [backup-simplify]: Simplify 1/4 into 1/4 108.979 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in K 108.979 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in K 108.979 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in K 108.979 * [taylor]: Taking taylor expansion of 1/4 in K 108.979 * [backup-simplify]: Simplify 1/4 into 1/4 108.979 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in K 108.979 * [taylor]: Taking taylor expansion of (pow J 2) in K 108.979 * [taylor]: Taking taylor expansion of J in K 108.979 * [backup-simplify]: Simplify J into J 108.979 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 108.979 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 108.979 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 108.980 * [taylor]: Taking taylor expansion of 1/2 in K 108.980 * [backup-simplify]: Simplify 1/2 into 1/2 108.980 * [taylor]: Taking taylor expansion of K in K 108.980 * [backup-simplify]: Simplify 0 into 0 108.980 * [backup-simplify]: Simplify 1 into 1 108.980 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 108.980 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 108.980 * [backup-simplify]: Simplify (* J J) into (pow J 2) 108.980 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 108.980 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 108.980 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 108.980 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 108.980 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 108.980 * [taylor]: Taking taylor expansion of 2 in K 108.980 * [backup-simplify]: Simplify 2 into 2 108.980 * [taylor]: Taking taylor expansion of (log U) in K 108.980 * [taylor]: Taking taylor expansion of U in K 108.980 * [backup-simplify]: Simplify U into U 108.980 * [backup-simplify]: Simplify (log U) into (log U) 108.981 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 108.981 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 108.981 * [backup-simplify]: Simplify (+ (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 108.981 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 108.981 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 108.981 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J 108.981 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 108.981 * [taylor]: Taking taylor expansion of 1/4 in J 108.981 * [backup-simplify]: Simplify 1/4 into 1/4 108.981 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 108.981 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 108.981 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 108.981 * [taylor]: Taking taylor expansion of 1/4 in J 108.981 * [backup-simplify]: Simplify 1/4 into 1/4 108.981 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 108.981 * [taylor]: Taking taylor expansion of (pow J 2) in J 108.981 * [taylor]: Taking taylor expansion of J in J 108.981 * [backup-simplify]: Simplify 0 into 0 108.981 * [backup-simplify]: Simplify 1 into 1 108.981 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 108.981 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 108.981 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 108.981 * [taylor]: Taking taylor expansion of 1/2 in J 108.981 * [backup-simplify]: Simplify 1/2 into 1/2 108.981 * [taylor]: Taking taylor expansion of K in J 108.981 * [backup-simplify]: Simplify K into K 108.981 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 108.981 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 108.982 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 108.982 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 108.982 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 108.982 * [backup-simplify]: Simplify (- 0) into 0 108.982 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 108.982 * [backup-simplify]: Simplify (* 1 1) into 1 108.982 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 108.982 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 108.982 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 108.983 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 108.983 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 108.983 * [taylor]: Taking taylor expansion of 2 in J 108.983 * [backup-simplify]: Simplify 2 into 2 108.983 * [taylor]: Taking taylor expansion of (log U) in J 108.983 * [taylor]: Taking taylor expansion of U in J 108.983 * [backup-simplify]: Simplify U into U 108.983 * [backup-simplify]: Simplify (log U) into (log U) 108.983 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) 108.983 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 108.983 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 108.983 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 108.983 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 108.984 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 108.984 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 108.984 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 108.984 * [backup-simplify]: Simplify (+ 0) into 0 108.984 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 108.985 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 108.985 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 108.985 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 108.986 * [backup-simplify]: Simplify (- 0) into 0 108.986 * [backup-simplify]: Simplify (+ 0 0) into 0 108.986 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 108.986 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 108.987 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 108.987 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 108.987 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 108.987 * [backup-simplify]: Simplify (+ 0 0) into 0 108.988 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 1) into 0 108.988 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 108.989 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 108.989 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 108.989 * [taylor]: Taking taylor expansion of 0 in K 108.989 * [backup-simplify]: Simplify 0 into 0 108.989 * [taylor]: Taking taylor expansion of 0 in J 108.989 * [backup-simplify]: Simplify 0 into 0 108.989 * [backup-simplify]: Simplify 0 into 0 108.990 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 108.990 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 108.990 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 108.990 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 108.991 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 1) into 0 108.991 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 108.992 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 108.992 * [backup-simplify]: Simplify (- 0) into 0 108.992 * [backup-simplify]: Simplify (+ 0 0) into 0 108.992 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 108.993 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 108.993 * [taylor]: Taking taylor expansion of 0 in J 108.993 * [backup-simplify]: Simplify 0 into 0 108.993 * [backup-simplify]: Simplify 0 into 0 108.993 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 108.994 * [backup-simplify]: Simplify (+ 0) into 0 108.994 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 108.994 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 108.995 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 108.995 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 108.995 * [backup-simplify]: Simplify (- 0) into 0 108.996 * [backup-simplify]: Simplify (+ 0 0) into 0 108.996 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 108.996 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 108.996 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 108.997 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 108.997 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 108.997 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 108.998 * [backup-simplify]: Simplify (- 0) into 0 108.998 * [backup-simplify]: Simplify (+ 0 0) into 0 108.998 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 108.999 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 108.999 * [backup-simplify]: Simplify 0 into 0 108.999 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 109.003 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 109.004 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 109.004 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 109.005 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 109.005 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 109.005 * [backup-simplify]: Simplify (- 0) into 0 109.006 * [backup-simplify]: Simplify (+ 0 0) into 0 109.006 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 109.006 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 109.007 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 109.007 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 109.008 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 109.008 * [backup-simplify]: Simplify (+ 0 1) into 1 109.009 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 2) into (* 4 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 109.010 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 109.010 * [backup-simplify]: Simplify (+ (* 1/4 (* 4 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 109.011 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 1) 1)))) into (/ (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) 109.011 * [taylor]: Taking taylor expansion of (/ (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) in K 109.011 * [taylor]: Taking taylor expansion of (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) in K 109.011 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in K 109.011 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in K 109.011 * [taylor]: Taking taylor expansion of 1/4 in K 109.011 * [backup-simplify]: Simplify 1/4 into 1/4 109.011 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in K 109.011 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in K 109.011 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in K 109.011 * [taylor]: Taking taylor expansion of 1/4 in K 109.011 * [backup-simplify]: Simplify 1/4 into 1/4 109.011 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in K 109.011 * [taylor]: Taking taylor expansion of (pow J 2) in K 109.011 * [taylor]: Taking taylor expansion of J in K 109.011 * [backup-simplify]: Simplify J into J 109.011 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 109.011 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 109.011 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 109.011 * [taylor]: Taking taylor expansion of 1/2 in K 109.011 * [backup-simplify]: Simplify 1/2 into 1/2 109.011 * [taylor]: Taking taylor expansion of K in K 109.011 * [backup-simplify]: Simplify 0 into 0 109.011 * [backup-simplify]: Simplify 1 into 1 109.012 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 109.012 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 109.012 * [backup-simplify]: Simplify (* J J) into (pow J 2) 109.012 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 109.012 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 109.012 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 109.012 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 109.012 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 109.012 * [taylor]: Taking taylor expansion of 2 in K 109.012 * [backup-simplify]: Simplify 2 into 2 109.012 * [taylor]: Taking taylor expansion of (log U) in K 109.012 * [taylor]: Taking taylor expansion of U in K 109.012 * [backup-simplify]: Simplify U into U 109.012 * [backup-simplify]: Simplify (log U) into (log U) 109.012 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 109.012 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 109.012 * [backup-simplify]: Simplify (+ (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 109.013 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 109.013 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 109.013 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 109.013 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 109.013 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 109.013 * [taylor]: Taking taylor expansion of 1/2 in K 109.013 * [backup-simplify]: Simplify 1/2 into 1/2 109.013 * [taylor]: Taking taylor expansion of K in K 109.013 * [backup-simplify]: Simplify 0 into 0 109.013 * [backup-simplify]: Simplify 1 into 1 109.013 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 109.013 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 109.013 * [taylor]: Taking taylor expansion of (pow J 2) in K 109.013 * [taylor]: Taking taylor expansion of J in K 109.013 * [backup-simplify]: Simplify J into J 109.013 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 109.014 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) into (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 109.014 * [backup-simplify]: Simplify (* J J) into (pow J 2) 109.014 * [backup-simplify]: Simplify (/ (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) into (/ (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) 109.014 * [taylor]: Taking taylor expansion of (/ (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) in J 109.014 * [taylor]: Taking taylor expansion of (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) in J 109.014 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J 109.014 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 109.014 * [taylor]: Taking taylor expansion of 1/4 in J 109.014 * [backup-simplify]: Simplify 1/4 into 1/4 109.014 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 109.014 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 109.014 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 109.014 * [taylor]: Taking taylor expansion of 1/4 in J 109.014 * [backup-simplify]: Simplify 1/4 into 1/4 109.014 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 109.014 * [taylor]: Taking taylor expansion of (pow J 2) in J 109.014 * [taylor]: Taking taylor expansion of J in J 109.014 * [backup-simplify]: Simplify 0 into 0 109.014 * [backup-simplify]: Simplify 1 into 1 109.014 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 109.014 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 109.014 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 109.014 * [taylor]: Taking taylor expansion of 1/2 in J 109.014 * [backup-simplify]: Simplify 1/2 into 1/2 109.014 * [taylor]: Taking taylor expansion of K in J 109.014 * [backup-simplify]: Simplify K into K 109.014 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 109.014 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 109.014 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 109.014 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 109.014 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 109.015 * [backup-simplify]: Simplify (- 0) into 0 109.015 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 109.015 * [backup-simplify]: Simplify (* 1 1) into 1 109.015 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 109.015 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 109.015 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 109.015 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 109.015 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 109.015 * [taylor]: Taking taylor expansion of 2 in J 109.015 * [backup-simplify]: Simplify 2 into 2 109.015 * [taylor]: Taking taylor expansion of (log U) in J 109.015 * [taylor]: Taking taylor expansion of U in J 109.015 * [backup-simplify]: Simplify U into U 109.015 * [backup-simplify]: Simplify (log U) into (log U) 109.016 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) 109.016 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 109.016 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 109.016 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 109.017 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 109.017 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 109.017 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 109.017 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 109.017 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 109.017 * [taylor]: Taking taylor expansion of 1/2 in J 109.017 * [backup-simplify]: Simplify 1/2 into 1/2 109.017 * [taylor]: Taking taylor expansion of K in J 109.017 * [backup-simplify]: Simplify K into K 109.017 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 109.017 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 109.017 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 109.017 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 109.017 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 109.018 * [backup-simplify]: Simplify (- 0) into 0 109.018 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 109.018 * [taylor]: Taking taylor expansion of (pow J 2) in J 109.018 * [taylor]: Taking taylor expansion of J in J 109.018 * [backup-simplify]: Simplify 0 into 0 109.018 * [backup-simplify]: Simplify 1 into 1 109.018 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 109.019 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) into (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 109.019 * [backup-simplify]: Simplify (* 1 1) into 1 109.019 * [backup-simplify]: Simplify (/ (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 1) into (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 109.020 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 109.020 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 109.021 * [backup-simplify]: Simplify (+ 0) into 0 109.021 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 109.022 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 109.022 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 109.023 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 109.024 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 109.024 * [backup-simplify]: Simplify (- 0) into 0 109.024 * [backup-simplify]: Simplify (+ 0 0) into 0 109.025 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 109.025 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 109.026 * [backup-simplify]: Simplify (- 0) into 0 109.026 * [backup-simplify]: Simplify (+ 0 0) into 0 109.027 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 109.027 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 109.028 * [backup-simplify]: Simplify (+ 0) into 0 109.028 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 109.028 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 109.029 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 109.030 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 109.030 * [backup-simplify]: Simplify (- 0) into 0 109.030 * [backup-simplify]: Simplify (+ 0 0) into 0 109.030 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 109.031 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 109.031 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 109.032 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 109.033 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 109.033 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 109.034 * [backup-simplify]: Simplify (- 0) into 0 109.034 * [backup-simplify]: Simplify (+ 0 0) into 0 109.035 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 109.036 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 109.036 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 109.037 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 109.038 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 109.038 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 109.039 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 109.039 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 109.040 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 109.040 * [backup-simplify]: Simplify (- 0) into 0 109.041 * [backup-simplify]: Simplify (+ 0 0) into 0 109.041 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 109.042 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 109.042 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 109.044 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 2) into 0 109.046 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 109.047 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 109.047 * [backup-simplify]: Simplify (- 0) into 0 109.047 * [backup-simplify]: Simplify (+ 0 0) into 0 109.048 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0 109.050 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 109.051 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 109.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 109.052 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 109.053 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 109.054 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)))) into 0 109.056 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 109.056 * [backup-simplify]: Simplify 0 into 0 109.056 * [taylor]: Taking taylor expansion of 0 in J 109.056 * [backup-simplify]: Simplify 0 into 0 109.056 * [backup-simplify]: Simplify 0 into 0 109.056 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 109.057 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 109.057 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 109.058 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 109.060 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 2) into 0 109.062 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 109.063 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 109.063 * [backup-simplify]: Simplify (- 0) into 0 109.064 * [backup-simplify]: Simplify (+ 0 0) into 0 109.065 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0 109.066 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 109.066 * [taylor]: Taking taylor expansion of 0 in J 109.066 * [backup-simplify]: Simplify 0 into 0 109.066 * [backup-simplify]: Simplify 0 into 0 109.067 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log (/ 1 J))) (log (/ 1/4 (pow (cos (/ 1/2 (/ 1 K))) 2)))) (* 2 (log (/ 1 U)))))) into (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ 1 J)))) (* 2 (log (/ 1 U)))))) 109.067 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) 1))) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) 109.067 * [approximate]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in (U K J) around 0 109.068 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in J 109.068 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J 109.068 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 109.068 * [taylor]: Taking taylor expansion of 1/4 in J 109.068 * [backup-simplify]: Simplify 1/4 into 1/4 109.068 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 109.068 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 109.068 * [taylor]: Taking taylor expansion of 1 in J 109.068 * [backup-simplify]: Simplify 1 into 1 109.068 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 109.068 * [taylor]: Taking taylor expansion of 1/4 in J 109.068 * [backup-simplify]: Simplify 1/4 into 1/4 109.068 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 109.068 * [taylor]: Taking taylor expansion of (pow J 2) in J 109.068 * [taylor]: Taking taylor expansion of J in J 109.068 * [backup-simplify]: Simplify 0 into 0 109.068 * [backup-simplify]: Simplify 1 into 1 109.068 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 109.068 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 109.068 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 109.068 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 109.068 * [taylor]: Taking taylor expansion of -1/2 in J 109.068 * [backup-simplify]: Simplify -1/2 into -1/2 109.068 * [taylor]: Taking taylor expansion of K in J 109.068 * [backup-simplify]: Simplify K into K 109.068 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 109.068 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 109.068 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 109.068 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 109.069 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 109.069 * [backup-simplify]: Simplify (- 0) into 0 109.069 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 109.069 * [taylor]: Taking taylor expansion of (pow U 2) in J 109.069 * [taylor]: Taking taylor expansion of U in J 109.069 * [backup-simplify]: Simplify U into U 109.070 * [backup-simplify]: Simplify (* 1 1) into 1 109.070 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 109.070 * [backup-simplify]: Simplify (* U U) into (pow U 2) 109.070 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 109.070 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 109.071 * [backup-simplify]: Simplify (+ 1 0) into 1 109.071 * [backup-simplify]: Simplify (log 1) into 0 109.071 * [backup-simplify]: Simplify (* 1/4 0) into 0 109.072 * [backup-simplify]: Simplify (+ 0 0) into 0 109.073 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 109.074 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 109.074 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 109.075 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 109.077 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 109.077 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 109.077 * [backup-simplify]: Simplify (exp 0) into 1 109.077 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in K 109.077 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K 109.077 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K 109.077 * [taylor]: Taking taylor expansion of 1/4 in K 109.077 * [backup-simplify]: Simplify 1/4 into 1/4 109.078 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 109.078 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 109.078 * [taylor]: Taking taylor expansion of 1 in K 109.078 * [backup-simplify]: Simplify 1 into 1 109.078 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 109.078 * [taylor]: Taking taylor expansion of 1/4 in K 109.078 * [backup-simplify]: Simplify 1/4 into 1/4 109.078 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 109.078 * [taylor]: Taking taylor expansion of (pow J 2) in K 109.078 * [taylor]: Taking taylor expansion of J in K 109.078 * [backup-simplify]: Simplify J into J 109.078 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 109.078 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 109.078 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 109.078 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 109.078 * [taylor]: Taking taylor expansion of -1/2 in K 109.078 * [backup-simplify]: Simplify -1/2 into -1/2 109.078 * [taylor]: Taking taylor expansion of K in K 109.078 * [backup-simplify]: Simplify 0 into 0 109.078 * [backup-simplify]: Simplify 1 into 1 109.078 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 109.078 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 109.079 * [taylor]: Taking taylor expansion of (pow U 2) in K 109.079 * [taylor]: Taking taylor expansion of U in K 109.079 * [backup-simplify]: Simplify U into U 109.079 * [backup-simplify]: Simplify (* J J) into (pow J 2) 109.079 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 109.079 * [backup-simplify]: Simplify (* U U) into (pow U 2) 109.079 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 109.079 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 109.079 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 109.080 * [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))))) 109.080 * [backup-simplify]: Simplify (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 109.081 * [backup-simplify]: Simplify (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 109.081 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) 109.081 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in U 109.081 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 109.081 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 109.081 * [taylor]: Taking taylor expansion of 1/4 in U 109.081 * [backup-simplify]: Simplify 1/4 into 1/4 109.081 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 109.081 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 109.081 * [taylor]: Taking taylor expansion of 1 in U 109.081 * [backup-simplify]: Simplify 1 into 1 109.081 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 109.081 * [taylor]: Taking taylor expansion of 1/4 in U 109.081 * [backup-simplify]: Simplify 1/4 into 1/4 109.081 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 109.081 * [taylor]: Taking taylor expansion of (pow J 2) in U 109.081 * [taylor]: Taking taylor expansion of J in U 109.082 * [backup-simplify]: Simplify J into J 109.082 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 109.082 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 109.082 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 109.082 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 109.082 * [taylor]: Taking taylor expansion of -1/2 in U 109.082 * [backup-simplify]: Simplify -1/2 into -1/2 109.082 * [taylor]: Taking taylor expansion of K in U 109.082 * [backup-simplify]: Simplify K into K 109.082 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 109.082 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 109.082 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 109.082 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 109.082 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 109.083 * [backup-simplify]: Simplify (- 0) into 0 109.083 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 109.083 * [taylor]: Taking taylor expansion of (pow U 2) in U 109.083 * [taylor]: Taking taylor expansion of U in U 109.083 * [backup-simplify]: Simplify 0 into 0 109.083 * [backup-simplify]: Simplify 1 into 1 109.083 * [backup-simplify]: Simplify (* J J) into (pow J 2) 109.083 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 109.083 * [backup-simplify]: Simplify (* 1 1) into 1 109.083 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 109.084 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 109.084 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 109.084 * [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))) 109.084 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 109.085 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 109.085 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 109.086 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 109.086 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in U 109.086 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 109.086 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 109.086 * [taylor]: Taking taylor expansion of 1/4 in U 109.086 * [backup-simplify]: Simplify 1/4 into 1/4 109.086 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 109.086 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 109.086 * [taylor]: Taking taylor expansion of 1 in U 109.086 * [backup-simplify]: Simplify 1 into 1 109.086 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 109.086 * [taylor]: Taking taylor expansion of 1/4 in U 109.086 * [backup-simplify]: Simplify 1/4 into 1/4 109.086 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 109.086 * [taylor]: Taking taylor expansion of (pow J 2) in U 109.086 * [taylor]: Taking taylor expansion of J in U 109.086 * [backup-simplify]: Simplify J into J 109.086 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 109.086 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 109.086 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 109.086 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 109.086 * [taylor]: Taking taylor expansion of -1/2 in U 109.086 * [backup-simplify]: Simplify -1/2 into -1/2 109.086 * [taylor]: Taking taylor expansion of K in U 109.086 * [backup-simplify]: Simplify K into K 109.086 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 109.086 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 109.086 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 109.087 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 109.087 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 109.087 * [backup-simplify]: Simplify (- 0) into 0 109.087 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 109.087 * [taylor]: Taking taylor expansion of (pow U 2) in U 109.087 * [taylor]: Taking taylor expansion of U in U 109.087 * [backup-simplify]: Simplify 0 into 0 109.087 * [backup-simplify]: Simplify 1 into 1 109.087 * [backup-simplify]: Simplify (* J J) into (pow J 2) 109.087 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 109.088 * [backup-simplify]: Simplify (* 1 1) into 1 109.088 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 109.088 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 109.088 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 109.089 * [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))) 109.089 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 109.089 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 109.090 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 109.090 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 109.090 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in K 109.090 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in K 109.090 * [taylor]: Taking taylor expansion of 1/4 in K 109.090 * [backup-simplify]: Simplify 1/4 into 1/4 109.090 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in K 109.090 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in K 109.090 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in K 109.090 * [taylor]: Taking taylor expansion of 1/4 in K 109.090 * [backup-simplify]: Simplify 1/4 into 1/4 109.090 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in K 109.090 * [taylor]: Taking taylor expansion of (pow J 2) in K 109.091 * [taylor]: Taking taylor expansion of J in K 109.091 * [backup-simplify]: Simplify J into J 109.091 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 109.091 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 109.091 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 109.091 * [taylor]: Taking taylor expansion of -1/2 in K 109.091 * [backup-simplify]: Simplify -1/2 into -1/2 109.091 * [taylor]: Taking taylor expansion of K in K 109.091 * [backup-simplify]: Simplify 0 into 0 109.091 * [backup-simplify]: Simplify 1 into 1 109.091 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 109.091 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 109.091 * [backup-simplify]: Simplify (* J J) into (pow J 2) 109.091 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 109.092 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 109.092 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 109.092 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 109.092 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 109.092 * [taylor]: Taking taylor expansion of 2 in K 109.092 * [backup-simplify]: Simplify 2 into 2 109.092 * [taylor]: Taking taylor expansion of (log U) in K 109.092 * [taylor]: Taking taylor expansion of U in K 109.092 * [backup-simplify]: Simplify U into U 109.092 * [backup-simplify]: Simplify (log U) into (log U) 109.092 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 109.092 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 109.093 * [backup-simplify]: Simplify (+ (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 109.093 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 109.093 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 109.093 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J 109.093 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 109.093 * [taylor]: Taking taylor expansion of 1/4 in J 109.093 * [backup-simplify]: Simplify 1/4 into 1/4 109.093 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 109.093 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 109.094 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 109.094 * [taylor]: Taking taylor expansion of 1/4 in J 109.094 * [backup-simplify]: Simplify 1/4 into 1/4 109.094 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 109.094 * [taylor]: Taking taylor expansion of (pow J 2) in J 109.094 * [taylor]: Taking taylor expansion of J in J 109.094 * [backup-simplify]: Simplify 0 into 0 109.094 * [backup-simplify]: Simplify 1 into 1 109.094 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 109.094 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 109.094 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 109.094 * [taylor]: Taking taylor expansion of -1/2 in J 109.094 * [backup-simplify]: Simplify -1/2 into -1/2 109.094 * [taylor]: Taking taylor expansion of K in J 109.094 * [backup-simplify]: Simplify K into K 109.094 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 109.094 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 109.094 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 109.094 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 109.094 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 109.095 * [backup-simplify]: Simplify (- 0) into 0 109.095 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 109.095 * [backup-simplify]: Simplify (* 1 1) into 1 109.095 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 109.096 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 109.096 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 109.096 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 109.096 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 109.096 * [taylor]: Taking taylor expansion of 2 in J 109.096 * [backup-simplify]: Simplify 2 into 2 109.096 * [taylor]: Taking taylor expansion of (log U) in J 109.096 * [taylor]: Taking taylor expansion of U in J 109.096 * [backup-simplify]: Simplify U into U 109.096 * [backup-simplify]: Simplify (log U) into (log U) 109.097 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) 109.097 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 109.097 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 109.097 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 109.097 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 109.098 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 109.098 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 109.098 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 109.099 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 109.099 * [backup-simplify]: Simplify (+ 0) into 0 109.100 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 109.100 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 109.101 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 109.101 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 109.102 * [backup-simplify]: Simplify (- 0) into 0 109.102 * [backup-simplify]: Simplify (+ 0 0) into 0 109.102 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 109.103 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 109.103 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 109.104 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 109.104 * [backup-simplify]: Simplify (+ 0 0) into 0 109.105 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 1) into 0 109.106 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 109.106 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 109.107 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 109.108 * [taylor]: Taking taylor expansion of 0 in K 109.108 * [backup-simplify]: Simplify 0 into 0 109.108 * [taylor]: Taking taylor expansion of 0 in J 109.108 * [backup-simplify]: Simplify 0 into 0 109.108 * [backup-simplify]: Simplify 0 into 0 109.108 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 109.108 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 109.108 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 109.109 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 109.110 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 1) into 0 109.111 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 109.111 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 109.112 * [backup-simplify]: Simplify (- 0) into 0 109.112 * [backup-simplify]: Simplify (+ 0 0) into 0 109.113 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 109.114 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 109.114 * [taylor]: Taking taylor expansion of 0 in J 109.114 * [backup-simplify]: Simplify 0 into 0 109.114 * [backup-simplify]: Simplify 0 into 0 109.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 109.115 * [backup-simplify]: Simplify (+ 0) into 0 109.115 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 109.116 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 109.116 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 109.117 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 109.117 * [backup-simplify]: Simplify (- 0) into 0 109.117 * [backup-simplify]: Simplify (+ 0 0) into 0 109.118 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 109.118 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 109.119 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 109.119 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 109.120 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 109.121 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 109.121 * [backup-simplify]: Simplify (- 0) into 0 109.122 * [backup-simplify]: Simplify (+ 0 0) into 0 109.122 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 109.123 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 109.123 * [backup-simplify]: Simplify 0 into 0 109.124 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 109.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 109.126 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 109.127 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 109.127 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 109.127 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 109.128 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 109.128 * [backup-simplify]: Simplify (- 0) into 0 109.129 * [backup-simplify]: Simplify (+ 0 0) into 0 109.129 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 109.130 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 109.131 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 109.132 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 109.132 * [backup-simplify]: Simplify (+ 1 0) into 1 109.134 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 2) into (* 4 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 109.135 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 109.136 * [backup-simplify]: Simplify (+ (* 1/4 (* 4 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 109.137 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 1) 1)))) into (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) 109.137 * [taylor]: Taking taylor expansion of (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) in K 109.137 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) in K 109.137 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 109.137 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 109.137 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 109.137 * [taylor]: Taking taylor expansion of -1/2 in K 109.137 * [backup-simplify]: Simplify -1/2 into -1/2 109.137 * [taylor]: Taking taylor expansion of K in K 109.137 * [backup-simplify]: Simplify 0 into 0 109.137 * [backup-simplify]: Simplify 1 into 1 109.138 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 109.138 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 109.138 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in K 109.138 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in K 109.138 * [taylor]: Taking taylor expansion of 1/4 in K 109.138 * [backup-simplify]: Simplify 1/4 into 1/4 109.138 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in K 109.138 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in K 109.138 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in K 109.138 * [taylor]: Taking taylor expansion of 1/4 in K 109.138 * [backup-simplify]: Simplify 1/4 into 1/4 109.138 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in K 109.138 * [taylor]: Taking taylor expansion of (pow J 2) in K 109.138 * [taylor]: Taking taylor expansion of J in K 109.138 * [backup-simplify]: Simplify J into J 109.138 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 109.138 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 109.138 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 109.138 * [taylor]: Taking taylor expansion of -1/2 in K 109.138 * [backup-simplify]: Simplify -1/2 into -1/2 109.138 * [taylor]: Taking taylor expansion of K in K 109.138 * [backup-simplify]: Simplify 0 into 0 109.138 * [backup-simplify]: Simplify 1 into 1 109.139 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 109.139 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 109.139 * [backup-simplify]: Simplify (* J J) into (pow J 2) 109.139 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 109.139 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 109.139 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 109.140 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 109.140 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 109.140 * [taylor]: Taking taylor expansion of 2 in K 109.140 * [backup-simplify]: Simplify 2 into 2 109.140 * [taylor]: Taking taylor expansion of (log U) in K 109.140 * [taylor]: Taking taylor expansion of U in K 109.140 * [backup-simplify]: Simplify U into U 109.140 * [backup-simplify]: Simplify (log U) into (log U) 109.140 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 109.140 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 109.140 * [backup-simplify]: Simplify (+ (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 109.141 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 109.141 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 109.141 * [taylor]: Taking taylor expansion of (pow J 2) in K 109.141 * [taylor]: Taking taylor expansion of J in K 109.141 * [backup-simplify]: Simplify J into J 109.141 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 109.142 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 109.142 * [backup-simplify]: Simplify (* J J) into (pow J 2) 109.142 * [backup-simplify]: Simplify (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) into (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) 109.142 * [taylor]: Taking taylor expansion of (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) in J 109.142 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) in J 109.142 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 109.142 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 109.142 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 109.142 * [taylor]: Taking taylor expansion of -1/2 in J 109.142 * [backup-simplify]: Simplify -1/2 into -1/2 109.142 * [taylor]: Taking taylor expansion of K in J 109.142 * [backup-simplify]: Simplify K into K 109.142 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 109.143 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 109.143 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 109.143 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 109.143 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 109.143 * [backup-simplify]: Simplify (- 0) into 0 109.143 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 109.143 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J 109.144 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 109.144 * [taylor]: Taking taylor expansion of 1/4 in J 109.144 * [backup-simplify]: Simplify 1/4 into 1/4 109.144 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 109.144 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 109.144 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 109.144 * [taylor]: Taking taylor expansion of 1/4 in J 109.144 * [backup-simplify]: Simplify 1/4 into 1/4 109.144 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 109.144 * [taylor]: Taking taylor expansion of (pow J 2) in J 109.144 * [taylor]: Taking taylor expansion of J in J 109.144 * [backup-simplify]: Simplify 0 into 0 109.144 * [backup-simplify]: Simplify 1 into 1 109.144 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 109.144 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 109.144 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 109.144 * [taylor]: Taking taylor expansion of -1/2 in J 109.144 * [backup-simplify]: Simplify -1/2 into -1/2 109.144 * [taylor]: Taking taylor expansion of K in J 109.144 * [backup-simplify]: Simplify K into K 109.144 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 109.144 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 109.144 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 109.144 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 109.144 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 109.149 * [backup-simplify]: Simplify (- 0) into 0 109.149 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 109.150 * [backup-simplify]: Simplify (* 1 1) into 1 109.150 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 109.151 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 109.151 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 109.151 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 109.151 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 109.151 * [taylor]: Taking taylor expansion of 2 in J 109.151 * [backup-simplify]: Simplify 2 into 2 109.151 * [taylor]: Taking taylor expansion of (log U) in J 109.151 * [taylor]: Taking taylor expansion of U in J 109.151 * [backup-simplify]: Simplify U into U 109.151 * [backup-simplify]: Simplify (log U) into (log U) 109.152 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) 109.152 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 109.152 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 109.152 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 109.152 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 109.153 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 109.153 * [taylor]: Taking taylor expansion of (pow J 2) in J 109.153 * [taylor]: Taking taylor expansion of J in J 109.153 * [backup-simplify]: Simplify 0 into 0 109.153 * [backup-simplify]: Simplify 1 into 1 109.153 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 109.153 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 109.154 * [backup-simplify]: Simplify (* 1 1) into 1 109.154 * [backup-simplify]: Simplify (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 1) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 109.155 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 109.156 * [backup-simplify]: Simplify (+ 0) into 0 109.156 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 109.156 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 109.157 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 109.158 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 109.158 * [backup-simplify]: Simplify (- 0) into 0 109.158 * [backup-simplify]: Simplify (+ 0 0) into 0 109.158 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 109.159 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 109.159 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 109.160 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 109.161 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 109.161 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 109.162 * [backup-simplify]: Simplify (- 0) into 0 109.162 * [backup-simplify]: Simplify (+ 0 0) into 0 109.163 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 109.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 109.165 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 109.165 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 109.166 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 109.166 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 109.167 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 109.167 * [backup-simplify]: Simplify (- 0) into 0 109.168 * [backup-simplify]: Simplify (+ 0 0) into 0 109.168 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 109.169 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 109.170 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 109.171 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 2) into 0 109.173 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 109.174 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 109.175 * [backup-simplify]: Simplify (- 0) into 0 109.175 * [backup-simplify]: Simplify (+ 0 0) into 0 109.176 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 109.178 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 109.178 * [backup-simplify]: Simplify (+ 0) into 0 109.179 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 109.179 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 109.180 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 109.180 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 109.181 * [backup-simplify]: Simplify (- 0) into 0 109.181 * [backup-simplify]: Simplify (+ 0 0) into 0 109.181 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 109.182 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 109.183 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 109.184 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 109.184 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 109.185 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 109.186 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 109.186 * [backup-simplify]: Simplify (- 0) into 0 109.186 * [backup-simplify]: Simplify (+ 0 0) into 0 109.187 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 109.188 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))))) into 0 109.189 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 109.189 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))))) into 0 109.190 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 109.191 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)))) into 0 109.193 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 109.193 * [backup-simplify]: Simplify 0 into 0 109.193 * [taylor]: Taking taylor expansion of 0 in J 109.193 * [backup-simplify]: Simplify 0 into 0 109.193 * [backup-simplify]: Simplify 0 into 0 109.193 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 109.194 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 109.194 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 109.195 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 109.197 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 2) into 0 109.199 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 109.200 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 109.200 * [backup-simplify]: Simplify (- 0) into 0 109.200 * [backup-simplify]: Simplify (+ 0 0) into 0 109.202 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 109.203 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 109.203 * [taylor]: Taking taylor expansion of 0 in J 109.203 * [backup-simplify]: Simplify 0 into 0 109.203 * [backup-simplify]: Simplify 0 into 0 109.204 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log (/ 1 (- J)))) (log (/ 1/4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)))) (* 2 (log (/ 1 (- U))))))) into (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ -1 J)))) (* 2 (log (/ -1 U)))))) 109.204 * * * [progress]: simplifying candidates 109.204 * * * * [progress]: [ 1 / 99 ] simplifiying candidate # 109.204 * * * * [progress]: [ 2 / 99 ] simplifiying candidate # 109.204 * * * * [progress]: [ 3 / 99 ] simplifiying candidate # 109.204 * * * * [progress]: [ 4 / 99 ] simplifiying candidate # 109.204 * * * * [progress]: [ 5 / 99 ] simplifiying candidate # 109.204 * * * * [progress]: [ 6 / 99 ] simplifiying candidate # 109.204 * * * * [progress]: [ 7 / 99 ] simplifiying candidate # 109.205 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) 109.205 * * [simplify]: iters left: 6 (15 enodes) 109.213 * * [simplify]: iters left: 5 (59 enodes) 109.231 * * [simplify]: iters left: 4 (112 enodes) 109.262 * * [simplify]: iters left: 3 (365 enodes) 109.483 * * [simplify]: Extracting #0: cost 1 inf + 0 109.483 * * [simplify]: Extracting #1: cost 4 inf + 0 109.483 * * [simplify]: Extracting #2: cost 7 inf + 0 109.483 * * [simplify]: Extracting #3: cost 10 inf + 0 109.483 * * [simplify]: Extracting #4: cost 122 inf + 1 109.484 * * [simplify]: Extracting #5: cost 241 inf + 89 109.486 * * [simplify]: Extracting #6: cost 203 inf + 3666 109.490 * * [simplify]: Extracting #7: cost 128 inf + 17960 109.513 * * [simplify]: Extracting #8: cost 13 inf + 45848 109.533 * * [simplify]: Extracting #9: cost 0 inf + 48961 109.548 * [simplify]: Simplified to (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) 109.549 * [simplify]: Simplified (2 1 1 1 2 1 1) to (λ (J K U) (* (* (* (* (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (* (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (sqrt (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) -2) (cos (/ K 2))) J)) 109.549 * * * * [progress]: [ 8 / 99 ] simplifiying candidate # 109.549 * [simplify]: Simplifying (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) 109.549 * * [simplify]: iters left: 6 (14 enodes) 109.554 * * [simplify]: iters left: 5 (55 enodes) 109.578 * * [simplify]: iters left: 4 (108 enodes) 109.610 * * [simplify]: iters left: 3 (363 enodes) 109.894 * * [simplify]: Extracting #0: cost 1 inf + 0 109.894 * * [simplify]: Extracting #1: cost 3 inf + 0 109.894 * * [simplify]: Extracting #2: cost 5 inf + 0 109.894 * * [simplify]: Extracting #3: cost 8 inf + 0 109.895 * * [simplify]: Extracting #4: cost 123 inf + 1 109.896 * * [simplify]: Extracting #5: cost 234 inf + 420 109.898 * * [simplify]: Extracting #6: cost 203 inf + 3175 109.902 * * [simplify]: Extracting #7: cost 127 inf + 18949 109.915 * * [simplify]: Extracting #8: cost 7 inf + 46860 109.933 * * [simplify]: Extracting #9: cost 0 inf + 48232 109.948 * [simplify]: Simplified to (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 109.948 * [simplify]: Simplified (2 1 1 1 2 1 1) to (λ (J K U) (* (* (* (* (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (* (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) -2) (cos (/ K 2))) J)) 109.948 * * * * [progress]: [ 9 / 99 ] simplifiying candidate # 109.948 * [simplify]: Simplifying (sqrt 1) 109.948 * * [simplify]: iters left: 1 (2 enodes) 109.950 * * [simplify]: Extracting #0: cost 1 inf + 0 109.950 * * [simplify]: Extracting #1: cost 0 inf + 1 109.950 * [simplify]: Simplified to 1 109.950 * [simplify]: Simplified (2 1 1 1 2 1 1) to (λ (J K U) (* (* (* (* (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (* 1 (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) -2) (cos (/ K 2))) J)) 109.951 * * * * [progress]: [ 10 / 99 ] simplifiying candidate # 109.951 * [simplify]: Simplifying (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3))) 109.951 * * [simplify]: iters left: 6 (16 enodes) 109.956 * * [simplify]: iters left: 5 (70 enodes) 109.970 * * [simplify]: iters left: 4 (176 enodes) 110.096 * * [simplify]: Extracting #0: cost 1 inf + 0 110.096 * * [simplify]: Extracting #1: cost 3 inf + 0 110.096 * * [simplify]: Extracting #2: cost 6 inf + 0 110.096 * * [simplify]: Extracting #3: cost 103 inf + 1 110.098 * * [simplify]: Extracting #4: cost 306 inf + 6 110.100 * * [simplify]: Extracting #5: cost 338 inf + 1810 110.109 * * [simplify]: Extracting #6: cost 242 inf + 27932 110.136 * * [simplify]: Extracting #7: cost 28 inf + 100762 110.166 * * [simplify]: Extracting #8: cost 0 inf + 110036 110.190 * [simplify]: Simplified to (sqrt (+ 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 110.190 * [simplify]: Simplified (2 1 1 1 2 1 1) to (λ (J K U) (* (* (* (* (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (/ (sqrt (+ 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) -2) (cos (/ K 2))) J)) 110.191 * * * * [progress]: [ 11 / 99 ] simplifiying candidate # 110.191 * [simplify]: Simplifying (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* 1 1))) 110.191 * * [simplify]: iters left: 6 (15 enodes) 110.196 * * [simplify]: iters left: 5 (62 enodes) 110.220 * * [simplify]: iters left: 4 (150 enodes) 110.314 * * [simplify]: Extracting #0: cost 1 inf + 0 110.314 * * [simplify]: Extracting #1: cost 3 inf + 0 110.314 * * [simplify]: Extracting #2: cost 9 inf + 0 110.314 * * [simplify]: Extracting #3: cost 105 inf + 2 110.315 * * [simplify]: Extracting #4: cost 286 inf + 6 110.316 * * [simplify]: Extracting #5: cost 280 inf + 1923 110.321 * * [simplify]: Extracting #6: cost 191 inf + 25190 110.350 * * [simplify]: Extracting #7: cost 26 inf + 76271 110.386 * * [simplify]: Extracting #8: cost 0 inf + 85028 110.422 * [simplify]: Simplified to (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) 110.422 * [simplify]: Simplified (2 1 1 1 2 1 1) to (λ (J K U) (* (* (* (* (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (/ (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) -2) (cos (/ K 2))) J)) 110.423 * * * * [progress]: [ 12 / 99 ] simplifiying candidate # 110.423 * [simplify]: Simplifying (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 110.423 * * [simplify]: iters left: 6 (12 enodes) 110.430 * * [simplify]: iters left: 5 (49 enodes) 110.448 * * [simplify]: iters left: 4 (102 enodes) 110.480 * * [simplify]: iters left: 3 (356 enodes) 110.757 * * [simplify]: Extracting #0: cost 1 inf + 0 110.757 * * [simplify]: Extracting #1: cost 4 inf + 0 110.758 * * [simplify]: Extracting #2: cost 116 inf + 1 110.759 * * [simplify]: Extracting #3: cost 234 inf + 254 110.760 * * [simplify]: Extracting #4: cost 192 inf + 4198 110.765 * * [simplify]: Extracting #5: cost 121 inf + 19235 110.778 * * [simplify]: Extracting #6: cost 5 inf + 46310 110.793 * * [simplify]: Extracting #7: cost 0 inf + 47117 110.816 * * [simplify]: Extracting #8: cost 0 inf + 46998 110.845 * [simplify]: Simplified to (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 110.846 * [simplify]: Simplified (2 1 1 1 2 1 1) to (λ (J K U) (* (* (* (* (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (pow (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (/ 1 2)))) -2) (cos (/ K 2))) J)) 110.846 * * * * [progress]: [ 13 / 99 ] simplifiying candidate # 110.846 * * * * [progress]: [ 14 / 99 ] simplifiying candidate # 110.846 * [simplify]: Simplifying (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 110.847 * * [simplify]: iters left: 6 (13 enodes) 110.854 * * [simplify]: iters left: 5 (52 enodes) 110.872 * * [simplify]: iters left: 4 (105 enodes) 110.899 * * [simplify]: iters left: 3 (359 enodes) 111.185 * * [simplify]: Extracting #0: cost 1 inf + 0 111.185 * * [simplify]: Extracting #1: cost 3 inf + 0 111.185 * * [simplify]: Extracting #2: cost 6 inf + 0 111.186 * * [simplify]: Extracting #3: cost 118 inf + 1 111.188 * * [simplify]: Extracting #4: cost 235 inf + 336 111.191 * * [simplify]: Extracting #5: cost 193 inf + 4402 111.199 * * [simplify]: Extracting #6: cost 119 inf + 19348 111.218 * * [simplify]: Extracting #7: cost 7 inf + 46040 111.232 * * [simplify]: Extracting #8: cost 0 inf + 47488 111.247 * [simplify]: Simplified to (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 111.247 * [simplify]: Simplified (2 1 1 1 2 1 1) to (λ (J K U) (* (* (* (* (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (fabs (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) -2) (cos (/ K 2))) J)) 111.248 * * * * [progress]: [ 15 / 99 ] simplifiying candidate # 111.248 * * * * [progress]: [ 16 / 99 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) -2) (cos (/ K 2))) J))> 111.248 * * * * [progress]: [ 17 / 99 ] simplifiying candidate # 111.248 * * * * [progress]: [ 18 / 99 ] simplifiying candidate # 111.248 * * * * [progress]: [ 19 / 99 ] simplifiying candidate # 111.248 * * * * [progress]: [ 20 / 99 ] simplifiying candidate # 111.248 * * * * [progress]: [ 21 / 99 ] simplifiying candidate # 111.248 * * * * [progress]: [ 22 / 99 ] simplifiying candidate # 111.248 * * * * [progress]: [ 23 / 99 ] simplifiying candidate # 111.248 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) 111.248 * * [simplify]: iters left: 6 (15 enodes) 111.253 * * [simplify]: iters left: 5 (59 enodes) 111.276 * * [simplify]: iters left: 4 (112 enodes) 111.328 * * [simplify]: iters left: 3 (365 enodes) 111.582 * * [simplify]: Extracting #0: cost 1 inf + 0 111.582 * * [simplify]: Extracting #1: cost 4 inf + 0 111.582 * * [simplify]: Extracting #2: cost 7 inf + 0 111.582 * * [simplify]: Extracting #3: cost 10 inf + 0 111.582 * * [simplify]: Extracting #4: cost 122 inf + 1 111.583 * * [simplify]: Extracting #5: cost 241 inf + 89 111.585 * * [simplify]: Extracting #6: cost 203 inf + 3666 111.589 * * [simplify]: Extracting #7: cost 128 inf + 17960 111.606 * * [simplify]: Extracting #8: cost 13 inf + 45848 111.639 * * [simplify]: Extracting #9: cost 0 inf + 48961 111.669 * [simplify]: Simplified to (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) 111.670 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (* (sqrt (* (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (sqrt (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2))) J)) 111.670 * * * * [progress]: [ 24 / 99 ] simplifiying candidate # 111.670 * [simplify]: Simplifying (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) 111.671 * * [simplify]: iters left: 6 (14 enodes) 111.675 * * [simplify]: iters left: 5 (55 enodes) 111.685 * * [simplify]: iters left: 4 (108 enodes) 111.717 * * [simplify]: iters left: 3 (363 enodes) 111.972 * * [simplify]: Extracting #0: cost 1 inf + 0 111.972 * * [simplify]: Extracting #1: cost 3 inf + 0 111.972 * * [simplify]: Extracting #2: cost 5 inf + 0 111.972 * * [simplify]: Extracting #3: cost 8 inf + 0 111.972 * * [simplify]: Extracting #4: cost 123 inf + 1 111.973 * * [simplify]: Extracting #5: cost 234 inf + 420 111.975 * * [simplify]: Extracting #6: cost 203 inf + 3175 111.979 * * [simplify]: Extracting #7: cost 127 inf + 18949 111.993 * * [simplify]: Extracting #8: cost 7 inf + 46860 112.022 * * [simplify]: Extracting #9: cost 0 inf + 48232 112.040 * [simplify]: Simplified to (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 112.040 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (* (sqrt (* (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2))) J)) 112.040 * * * * [progress]: [ 25 / 99 ] simplifiying candidate # 112.040 * [simplify]: Simplifying (sqrt 1) 112.041 * * [simplify]: iters left: 1 (2 enodes) 112.043 * * [simplify]: Extracting #0: cost 1 inf + 0 112.043 * * [simplify]: Extracting #1: cost 0 inf + 1 112.043 * [simplify]: Simplified to 1 112.043 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (* (sqrt (* 1 (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2))) J)) 112.043 * * * * [progress]: [ 26 / 99 ] simplifiying candidate # 112.043 * [simplify]: Simplifying (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3))) 112.043 * * [simplify]: iters left: 6 (16 enodes) 112.048 * * [simplify]: iters left: 5 (70 enodes) 112.065 * * [simplify]: iters left: 4 (176 enodes) 112.152 * * [simplify]: Extracting #0: cost 1 inf + 0 112.152 * * [simplify]: Extracting #1: cost 3 inf + 0 112.152 * * [simplify]: Extracting #2: cost 6 inf + 0 112.152 * * [simplify]: Extracting #3: cost 103 inf + 1 112.154 * * [simplify]: Extracting #4: cost 306 inf + 6 112.156 * * [simplify]: Extracting #5: cost 338 inf + 1810 112.165 * * [simplify]: Extracting #6: cost 242 inf + 27932 112.199 * * [simplify]: Extracting #7: cost 28 inf + 100762 112.242 * * [simplify]: Extracting #8: cost 0 inf + 110036 112.273 * [simplify]: Simplified to (sqrt (+ 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 112.273 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (* (sqrt (/ (sqrt (+ 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2))) J)) 112.274 * * * * [progress]: [ 27 / 99 ] simplifiying candidate # 112.274 * [simplify]: Simplifying (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* 1 1))) 112.275 * * [simplify]: iters left: 6 (15 enodes) 112.283 * * [simplify]: iters left: 5 (62 enodes) 112.306 * * [simplify]: iters left: 4 (150 enodes) 112.423 * * [simplify]: Extracting #0: cost 1 inf + 0 112.423 * * [simplify]: Extracting #1: cost 3 inf + 0 112.423 * * [simplify]: Extracting #2: cost 9 inf + 0 112.423 * * [simplify]: Extracting #3: cost 105 inf + 2 112.425 * * [simplify]: Extracting #4: cost 286 inf + 6 112.427 * * [simplify]: Extracting #5: cost 280 inf + 1923 112.435 * * [simplify]: Extracting #6: cost 191 inf + 25190 112.465 * * [simplify]: Extracting #7: cost 26 inf + 76271 112.498 * * [simplify]: Extracting #8: cost 0 inf + 85028 112.522 * [simplify]: Simplified to (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) 112.522 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (* (sqrt (/ (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2))) J)) 112.523 * * * * [progress]: [ 28 / 99 ] simplifiying candidate # 112.523 * [simplify]: Simplifying (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 112.523 * * [simplify]: iters left: 6 (12 enodes) 112.530 * * [simplify]: iters left: 5 (49 enodes) 112.547 * * [simplify]: iters left: 4 (102 enodes) 112.597 * * [simplify]: iters left: 3 (356 enodes) 112.860 * * [simplify]: Extracting #0: cost 1 inf + 0 112.860 * * [simplify]: Extracting #1: cost 4 inf + 0 112.860 * * [simplify]: Extracting #2: cost 116 inf + 1 112.862 * * [simplify]: Extracting #3: cost 234 inf + 254 112.866 * * [simplify]: Extracting #4: cost 192 inf + 4198 112.878 * * [simplify]: Extracting #5: cost 121 inf + 19235 112.905 * * [simplify]: Extracting #6: cost 5 inf + 46310 112.934 * * [simplify]: Extracting #7: cost 0 inf + 47117 112.963 * * [simplify]: Extracting #8: cost 0 inf + 46998 112.990 * [simplify]: Simplified to (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 112.990 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (* (sqrt (pow (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (/ 1 2))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2))) J)) 112.990 * * * * [progress]: [ 29 / 99 ] simplifiying candidate # 112.990 * * * * [progress]: [ 30 / 99 ] simplifiying candidate # 112.990 * [simplify]: Simplifying (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 112.991 * * [simplify]: iters left: 6 (13 enodes) 112.994 * * [simplify]: iters left: 5 (52 enodes) 113.005 * * [simplify]: iters left: 4 (105 enodes) 113.042 * * [simplify]: iters left: 3 (359 enodes) 113.247 * * [simplify]: Extracting #0: cost 1 inf + 0 113.247 * * [simplify]: Extracting #1: cost 3 inf + 0 113.247 * * [simplify]: Extracting #2: cost 6 inf + 0 113.247 * * [simplify]: Extracting #3: cost 118 inf + 1 113.248 * * [simplify]: Extracting #4: cost 235 inf + 336 113.250 * * [simplify]: Extracting #5: cost 193 inf + 4402 113.254 * * [simplify]: Extracting #6: cost 119 inf + 19348 113.267 * * [simplify]: Extracting #7: cost 7 inf + 46040 113.292 * * [simplify]: Extracting #8: cost 0 inf + 47488 113.316 * [simplify]: Simplified to (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 113.316 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (* (sqrt (fabs (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2))) J)) 113.316 * * * * [progress]: [ 31 / 99 ] simplifiying candidate # 113.316 * * * * [progress]: [ 32 / 99 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2))) J))> 113.316 * * * * [progress]: [ 33 / 99 ] simplifiying candidate # 113.317 * [simplify]: Simplifying (* (* (* (* (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2))) J) 113.317 * * [simplify]: iters left: 6 (19 enodes) 113.322 * * [simplify]: iters left: 5 (76 enodes) 113.335 * * [simplify]: iters left: 4 (164 enodes) 113.405 * * [simplify]: iters left: 3 (496 enodes) 113.777 * * [simplify]: Extracting #0: cost 1 inf + 0 113.777 * * [simplify]: Extracting #1: cost 25 inf + 0 113.778 * * [simplify]: Extracting #2: cost 45 inf + 2 113.778 * * [simplify]: Extracting #3: cost 50 inf + 44 113.779 * * [simplify]: Extracting #4: cost 159 inf + 89 113.783 * * [simplify]: Extracting #5: cost 247 inf + 4601 113.803 * * [simplify]: Extracting #6: cost 96 inf + 35610 113.835 * * [simplify]: Extracting #7: cost 16 inf + 55194 113.875 * * [simplify]: Extracting #8: cost 0 inf + 62078 113.915 * [simplify]: Simplified to (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* -2 (* (cos (/ K 2)) J))) 113.915 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* -2 (* (cos (/ K 2)) J))) 1)) 113.916 * * * * [progress]: [ 34 / 99 ] simplifiying candidate # 113.916 * [simplify]: Simplifying (* (* (* (* (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2))) J) 113.916 * * [simplify]: iters left: 6 (19 enodes) 113.926 * * [simplify]: iters left: 5 (76 enodes) 113.951 * * [simplify]: iters left: 4 (164 enodes) 113.996 * * [simplify]: iters left: 3 (496 enodes) 114.323 * * [simplify]: Extracting #0: cost 1 inf + 0 114.323 * * [simplify]: Extracting #1: cost 25 inf + 0 114.323 * * [simplify]: Extracting #2: cost 45 inf + 2 114.324 * * [simplify]: Extracting #3: cost 50 inf + 44 114.325 * * [simplify]: Extracting #4: cost 159 inf + 89 114.328 * * [simplify]: Extracting #5: cost 247 inf + 4601 114.344 * * [simplify]: Extracting #6: cost 96 inf + 35610 114.376 * * [simplify]: Extracting #7: cost 16 inf + 55194 114.416 * * [simplify]: Extracting #8: cost 0 inf + 62078 114.461 * [simplify]: Simplified to (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* -2 (* (cos (/ K 2)) J))) 114.461 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* -2 (* (cos (/ K 2)) J))) 1)) 114.462 * * * * [progress]: [ 35 / 99 ] simplifiying candidate # 114.462 * [simplify]: Simplifying (* (* (* (* (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2))) J) 114.462 * * [simplify]: iters left: 6 (19 enodes) 114.472 * * [simplify]: iters left: 5 (76 enodes) 114.492 * * [simplify]: iters left: 4 (164 enodes) 114.540 * * [simplify]: iters left: 3 (496 enodes) 114.901 * * [simplify]: Extracting #0: cost 1 inf + 0 114.901 * * [simplify]: Extracting #1: cost 25 inf + 0 114.901 * * [simplify]: Extracting #2: cost 45 inf + 2 114.902 * * [simplify]: Extracting #3: cost 50 inf + 44 114.902 * * [simplify]: Extracting #4: cost 159 inf + 89 114.906 * * [simplify]: Extracting #5: cost 247 inf + 4601 114.921 * * [simplify]: Extracting #6: cost 96 inf + 35610 114.941 * * [simplify]: Extracting #7: cost 16 inf + 55194 114.973 * * [simplify]: Extracting #8: cost 0 inf + 62078 115.005 * [simplify]: Simplified to (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* -2 (* (cos (/ K 2)) J))) 115.005 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* -2 (* (cos (/ K 2)) J))) 1)) 115.005 * * * * [progress]: [ 36 / 99 ] simplifiying candidate # 115.005 * [simplify]: Simplifying (* (* (* (* (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2))) J) 115.005 * * [simplify]: iters left: 6 (19 enodes) 115.010 * * [simplify]: iters left: 5 (76 enodes) 115.024 * * [simplify]: iters left: 4 (164 enodes) 115.065 * * [simplify]: iters left: 3 (496 enodes) 115.323 * * [simplify]: Extracting #0: cost 1 inf + 0 115.323 * * [simplify]: Extracting #1: cost 25 inf + 0 115.323 * * [simplify]: Extracting #2: cost 45 inf + 2 115.323 * * [simplify]: Extracting #3: cost 50 inf + 44 115.324 * * [simplify]: Extracting #4: cost 159 inf + 89 115.325 * * [simplify]: Extracting #5: cost 247 inf + 4601 115.339 * * [simplify]: Extracting #6: cost 96 inf + 35610 115.357 * * [simplify]: Extracting #7: cost 16 inf + 55194 115.383 * * [simplify]: Extracting #8: cost 0 inf + 62078 115.428 * [simplify]: Simplified to (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* -2 (* (cos (/ K 2)) J))) 115.428 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* -2 (* (cos (/ K 2)) J))) 1)) 115.429 * * * * [progress]: [ 37 / 99 ] simplifiying candidate # 115.429 * * * * [progress]: [ 38 / 99 ] simplifiying candidate # 115.429 * [simplify]: Simplifying (+ (+ (+ (+ (log (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (log (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (log -2)) (log (cos (/ K 2)))) (log J)) 115.430 * * [simplify]: iters left: 6 (23 enodes) 115.442 * * [simplify]: iters left: 5 (91 enodes) 115.474 * * [simplify]: iters left: 4 (180 enodes) 115.540 * * [simplify]: Extracting #0: cost 1 inf + 0 115.540 * * [simplify]: Extracting #1: cost 24 inf + 0 115.540 * * [simplify]: Extracting #2: cost 51 inf + 0 115.540 * * [simplify]: Extracting #3: cost 52 inf + 144 115.540 * * [simplify]: Extracting #4: cost 55 inf + 397 115.540 * * [simplify]: Extracting #5: cost 54 inf + 652 115.541 * * [simplify]: Extracting #6: cost 102 inf + 941 115.542 * * [simplify]: Extracting #7: cost 143 inf + 4665 115.549 * * [simplify]: Extracting #8: cost 33 inf + 35651 115.567 * * [simplify]: Extracting #9: cost 1 inf + 51439 115.592 * * [simplify]: Extracting #10: cost 0 inf + 52114 115.616 * [simplify]: Simplified to (+ (+ (+ (log (sqrt (sqrt (+ 1 (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))) (log (sqrt (sqrt (+ 1 (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))))) (+ (log -2) (log (cos (/ K 2))))) (log J)) 115.616 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (+ (log (sqrt (sqrt (+ 1 (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))) (log (sqrt (sqrt (+ 1 (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))))) (+ (log -2) (log (cos (/ K 2))))) (log J)))) 115.616 * * * * [progress]: [ 39 / 99 ] simplifiying candidate # 115.617 * [simplify]: Simplifying (+ (+ (+ (log (* (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (log -2)) (log (cos (/ K 2)))) (log J)) 115.617 * * [simplify]: iters left: 6 (23 enodes) 115.629 * * [simplify]: iters left: 5 (89 enodes) 115.647 * * [simplify]: iters left: 4 (175 enodes) 115.705 * * [simplify]: iters left: 3 (498 enodes) 115.989 * * [simplify]: Extracting #0: cost 1 inf + 0 115.989 * * [simplify]: Extracting #1: cost 36 inf + 0 115.993 * * [simplify]: Extracting #2: cost 62 inf + 0 115.993 * * [simplify]: Extracting #3: cost 65 inf + 2 115.993 * * [simplify]: Extracting #4: cost 68 inf + 215 115.994 * * [simplify]: Extracting #5: cost 176 inf + 653 115.997 * * [simplify]: Extracting #6: cost 241 inf + 13035 116.017 * * [simplify]: Extracting #7: cost 51 inf + 55158 116.060 * * [simplify]: Extracting #8: cost 3 inf + 77381 116.105 * * [simplify]: Extracting #9: cost 0 inf + 79437 116.140 * [simplify]: Simplified to (+ (+ (log (cos (/ K 2))) (+ (log -2) (log (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))))) (log J)) 116.140 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (log (cos (/ K 2))) (+ (log -2) (log (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))))) (log J)))) 116.142 * * * * [progress]: [ 40 / 99 ] simplifiying candidate # 116.142 * [simplify]: Simplifying (+ (+ (log (* (* (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2)) (log (cos (/ K 2)))) (log J)) 116.142 * * [simplify]: iters left: 6 (22 enodes) 116.154 * * [simplify]: iters left: 5 (87 enodes) 116.183 * * [simplify]: iters left: 4 (168 enodes) 116.222 * * [simplify]: iters left: 3 (471 enodes) 116.484 * * [simplify]: Extracting #0: cost 1 inf + 0 116.484 * * [simplify]: Extracting #1: cost 29 inf + 0 116.484 * * [simplify]: Extracting #2: cost 63 inf + 0 116.485 * * [simplify]: Extracting #3: cost 68 inf + 2 116.485 * * [simplify]: Extracting #4: cost 72 inf + 144 116.486 * * [simplify]: Extracting #5: cost 179 inf + 653 116.492 * * [simplify]: Extracting #6: cost 244 inf + 9917 116.517 * * [simplify]: Extracting #7: cost 60 inf + 48877 116.546 * * [simplify]: Extracting #8: cost 30 inf + 59944 116.572 * * [simplify]: Extracting #9: cost 2 inf + 76951 116.611 * * [simplify]: Extracting #10: cost 0 inf + 78383 116.633 * [simplify]: Simplified to (+ (log (* -2 (sqrt (+ 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))))) (+ (log (cos (/ K 2))) (log J))) 116.633 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log (* -2 (sqrt (+ 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))))) (+ (log (cos (/ K 2))) (log J))))) 116.634 * * * * [progress]: [ 41 / 99 ] simplifiying candidate # 116.634 * [simplify]: Simplifying (+ (log (* (* (* (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2)))) (log J)) 116.634 * * [simplify]: iters left: 6 (21 enodes) 116.640 * * [simplify]: iters left: 5 (84 enodes) 116.661 * * [simplify]: iters left: 4 (174 enodes) 116.710 * * [simplify]: iters left: 3 (497 enodes) 117.000 * * [simplify]: Extracting #0: cost 1 inf + 0 117.000 * * [simplify]: Extracting #1: cost 38 inf + 0 117.000 * * [simplify]: Extracting #2: cost 72 inf + 0 117.000 * * [simplify]: Extracting #3: cost 82 inf + 2 117.001 * * [simplify]: Extracting #4: cost 86 inf + 468 117.001 * * [simplify]: Extracting #5: cost 192 inf + 1252 117.009 * * [simplify]: Extracting #6: cost 224 inf + 23057 117.043 * * [simplify]: Extracting #7: cost 36 inf + 65674 117.087 * * [simplify]: Extracting #8: cost 7 inf + 79696 117.132 * * [simplify]: Extracting #9: cost 0 inf + 84149 117.160 * [simplify]: Simplified to (+ (log J) (log (* (* -2 (sqrt (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J)))))) (cos (/ K 2))))) 117.161 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log J) (log (* (* -2 (sqrt (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J)))))) (cos (/ K 2))))))) 117.161 * * * * [progress]: [ 42 / 99 ] simplifiying candidate # 117.161 * * * * [progress]: [ 43 / 99 ] simplifiying candidate # 117.161 * * * * [progress]: [ 44 / 99 ] simplifiying candidate # 117.161 * [simplify]: Simplifying (* (* (* (* (* (* (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (* (* (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* -2 -2) -2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* J J) J)) 117.162 * * [simplify]: iters left: 6 (27 enodes) 117.178 * * [simplify]: iters left: 5 (118 enodes) 117.213 * * [simplify]: iters left: 4 (311 enodes) 117.397 * * [simplify]: Extracting #0: cost 1 inf + 0 117.397 * * [simplify]: Extracting #1: cost 75 inf + 0 117.399 * * [simplify]: Extracting #2: cost 349 inf + 45 117.402 * * [simplify]: Extracting #3: cost 377 inf + 499 117.407 * * [simplify]: Extracting #4: cost 380 inf + 8432 117.429 * * [simplify]: Extracting #5: cost 299 inf + 54287 117.477 * * [simplify]: Extracting #6: cost 78 inf + 143715 117.545 * * [simplify]: Extracting #7: cost 2 inf + 185388 117.628 * * [simplify]: Extracting #8: cost 0 inf + 186520 117.706 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) J) (* (* (sqrt (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (cos (/ K 2)) (cos (/ K 2))) -8))) (* J J)) 117.706 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (cos (/ K 2)) J) (* (* (sqrt (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (cos (/ K 2)) (cos (/ K 2))) -8))) (* J J)))) 117.706 * * * * [progress]: [ 45 / 99 ] simplifiying candidate # 117.707 * [simplify]: Simplifying (* (* (* (* (* (* (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (* (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* -2 -2) -2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* J J) J)) 117.707 * * [simplify]: iters left: 6 (27 enodes) 117.723 * * [simplify]: iters left: 5 (119 enodes) 117.752 * * [simplify]: iters left: 4 (324 enodes) 117.982 * * [simplify]: Extracting #0: cost 1 inf + 0 117.982 * * [simplify]: Extracting #1: cost 81 inf + 0 117.983 * * [simplify]: Extracting #2: cost 384 inf + 4 117.984 * * [simplify]: Extracting #3: cost 469 inf + 337 117.988 * * [simplify]: Extracting #4: cost 460 inf + 11992 117.998 * * [simplify]: Extracting #5: cost 304 inf + 52363 118.019 * * [simplify]: Extracting #6: cost 193 inf + 101765 118.065 * * [simplify]: Extracting #7: cost 69 inf + 163365 118.126 * * [simplify]: Extracting #8: cost 0 inf + 199621 118.188 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) J) (* J J)) (* (* -8 (* (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (cos (/ K 2)) (cos (/ K 2))))) 118.188 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (cos (/ K 2)) J) (* J J)) (* (* -8 (* (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (cos (/ K 2)) (cos (/ K 2))))))) 118.189 * * * * [progress]: [ 46 / 99 ] simplifiying candidate # 118.189 * [simplify]: Simplifying (* (* (* (* (* (* (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (* (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2)) (* (* (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* J J) J)) 118.190 * * [simplify]: iters left: 6 (25 enodes) 118.204 * * [simplify]: iters left: 5 (112 enodes) 118.249 * * [simplify]: iters left: 4 (309 enodes) 118.411 * * [simplify]: Extracting #0: cost 1 inf + 0 118.411 * * [simplify]: Extracting #1: cost 54 inf + 0 118.412 * * [simplify]: Extracting #2: cost 293 inf + 124 118.413 * * [simplify]: Extracting #3: cost 328 inf + 739 118.415 * * [simplify]: Extracting #4: cost 364 inf + 2189 118.436 * * [simplify]: Extracting #5: cost 276 inf + 58765 118.511 * * [simplify]: Extracting #6: cost 51 inf + 148112 119.004 * * [simplify]: Extracting #7: cost 0 inf + 173986 119.080 * * [simplify]: Extracting #8: cost 0 inf + 173947 119.138 * [simplify]: Simplified to (* (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))) (* -8 (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2))))))) (* (* (* J J) (* (cos (/ K 2)) (* (cos (/ K 2)) (cos (/ K 2))))) J)) 119.138 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))) (* -8 (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2))))))) (* (* (* J J) (* (cos (/ K 2)) (* (cos (/ K 2)) (cos (/ K 2))))) J)))) 119.139 * * * * [progress]: [ 47 / 99 ] simplifiying candidate # 119.139 * [simplify]: Simplifying (* (* (* (* (* (* (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2))) (* (* (* (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2)))) (* (* (* (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2)))) (* (* J J) J)) 119.140 * * [simplify]: iters left: 6 (23 enodes) 119.153 * * [simplify]: iters left: 5 (102 enodes) 119.190 * * [simplify]: iters left: 4 (306 enodes) 119.394 * * [simplify]: Extracting #0: cost 1 inf + 0 119.394 * * [simplify]: Extracting #1: cost 54 inf + 0 119.396 * * [simplify]: Extracting #2: cost 308 inf + 2 119.398 * * [simplify]: Extracting #3: cost 355 inf + 382 119.402 * * [simplify]: Extracting #4: cost 380 inf + 4277 119.422 * * [simplify]: Extracting #5: cost 330 inf + 45066 119.511 * * [simplify]: Extracting #6: cost 65 inf + 154770 119.601 * * [simplify]: Extracting #7: cost 0 inf + 188505 119.683 * * [simplify]: Extracting #8: cost 0 inf + 188264 119.765 * [simplify]: Simplified to (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) (* (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)))) 119.765 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) (* (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)))))) 119.765 * * * * [progress]: [ 48 / 99 ] simplifiying candidate # 119.765 * * * * [progress]: [ 49 / 99 ] simplifiying candidate # 119.765 * * * * [progress]: [ 50 / 99 ] simplifiying candidate # 119.766 * * * * [progress]: [ 51 / 99 ] simplifiying candidate # 119.766 * * * * [progress]: [ 52 / 99 ] simplifiying candidate # 119.766 * [simplify]: Simplifying (cbrt J) 119.766 * * [simplify]: iters left: 1 (2 enodes) 119.767 * * [simplify]: Extracting #0: cost 1 inf + 0 119.767 * * [simplify]: Extracting #1: cost 3 inf + 0 119.767 * * [simplify]: Extracting #2: cost 2 inf + 1 119.767 * * [simplify]: Extracting #3: cost 0 inf + 163 119.767 * [simplify]: Simplified to (cbrt J) 119.767 * [simplify]: Simplified (2 2) to (λ (J K U) (* (* (* (* (* (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2))) (* (cbrt J) (cbrt J))) (cbrt J))) 119.767 * * * * [progress]: [ 53 / 99 ] simplifiying candidate # 119.768 * [simplify]: Simplifying (sqrt J) 119.768 * * [simplify]: iters left: 1 (2 enodes) 119.769 * * [simplify]: Extracting #0: cost 1 inf + 0 119.769 * * [simplify]: Extracting #1: cost 3 inf + 0 119.769 * * [simplify]: Extracting #2: cost 2 inf + 1 119.769 * * [simplify]: Extracting #3: cost 0 inf + 83 119.769 * [simplify]: Simplified to (sqrt J) 119.769 * [simplify]: Simplified (2 2) to (λ (J K U) (* (* (* (* (* (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2))) (sqrt J)) (sqrt J))) 119.769 * * * * [progress]: [ 54 / 99 ] simplifiying candidate # 119.769 * * * * [progress]: [ 55 / 99 ] simplifiying candidate # 119.769 * [simplify]: Simplifying (* (* (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) 119.770 * * [simplify]: iters left: 6 (17 enodes) 119.779 * * [simplify]: iters left: 5 (65 enodes) 119.803 * * [simplify]: iters left: 4 (123 enodes) 119.847 * * [simplify]: iters left: 3 (378 enodes) 120.080 * * [simplify]: Extracting #0: cost 1 inf + 0 120.080 * * [simplify]: Extracting #1: cost 6 inf + 0 120.080 * * [simplify]: Extracting #2: cost 9 inf + 1 120.080 * * [simplify]: Extracting #3: cost 12 inf + 1 120.080 * * [simplify]: Extracting #4: cost 123 inf + 2 120.081 * * [simplify]: Extracting #5: cost 242 inf + 131 120.083 * * [simplify]: Extracting #6: cost 203 inf + 3588 120.088 * * [simplify]: Extracting #7: cost 122 inf + 20460 120.119 * * [simplify]: Extracting #8: cost 6 inf + 48043 120.148 * * [simplify]: Extracting #9: cost 0 inf + 49417 120.163 * * [simplify]: Extracting #10: cost 0 inf + 49416 120.181 * [simplify]: Simplified to (* -2 (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) 120.181 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* -2 (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (cos (/ K 2)) J))) 120.181 * * * * [progress]: [ 56 / 99 ] simplifiying candidate # 120.182 * [simplify]: Simplifying (* (* (* (* (sqrt (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3)))) (sqrt (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3))))) -2) (cos (/ K 2))) J) 120.182 * * [simplify]: iters left: 6 (22 enodes) 120.194 * * [simplify]: iters left: 5 (94 enodes) 120.231 * * [simplify]: iters left: 4 (233 enodes) 120.388 * * [simplify]: Extracting #0: cost 1 inf + 0 120.388 * * [simplify]: Extracting #1: cost 24 inf + 0 120.389 * * [simplify]: Extracting #2: cost 45 inf + 2 120.389 * * [simplify]: Extracting #3: cost 50 inf + 86 120.389 * * [simplify]: Extracting #4: cost 139 inf + 89 120.390 * * [simplify]: Extracting #5: cost 341 inf + 1245 120.398 * * [simplify]: Extracting #6: cost 279 inf + 28943 120.422 * * [simplify]: Extracting #7: cost 52 inf + 111048 120.462 * * [simplify]: Extracting #8: cost 0 inf + 128728 120.499 * * [simplify]: Extracting #9: cost 0 inf + 127647 120.560 * [simplify]: Simplified to (* (* J (* (cos (/ K 2)) -2)) (sqrt (+ 1 (* (* (* (/ (/ 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)))))))) 120.560 * [simplify]: Simplified (2 1) to (λ (J K U) (/ (* (* J (* (cos (/ K 2)) -2)) (sqrt (+ 1 (* (* (* (/ (/ 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)))))))) (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))) 120.561 * * * * [progress]: [ 57 / 99 ] simplifiying candidate # 120.561 * [simplify]: Simplifying (* (* (* (* (sqrt (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3)))) (sqrt (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* 1 1))))) -2) (cos (/ K 2))) J) 120.562 * * [simplify]: iters left: 6 (27 enodes) 120.578 * * [simplify]: iters left: 5 (115 enodes) 120.607 * * [simplify]: iters left: 4 (276 enodes) 120.813 * * [simplify]: Extracting #0: cost 1 inf + 0 120.813 * * [simplify]: Extracting #1: cost 30 inf + 0 120.814 * * [simplify]: Extracting #2: cost 61 inf + 2 120.814 * * [simplify]: Extracting #3: cost 67 inf + 86 120.815 * * [simplify]: Extracting #4: cost 73 inf + 88 120.816 * * [simplify]: Extracting #5: cost 225 inf + 807 120.819 * * [simplify]: Extracting #6: cost 439 inf + 1969 120.836 * * [simplify]: Extracting #7: cost 281 inf + 53606 120.875 * * [simplify]: Extracting #8: cost 24 inf + 143856 120.930 * * [simplify]: Extracting #9: cost 2 inf + 154705 120.992 * * [simplify]: Extracting #10: cost 0 inf + 156157 121.055 * [simplify]: Simplified to (* (* (cos (/ K 2)) J) (* -2 (* (sqrt (sqrt (+ 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (sqrt (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) -1)))))) 121.055 * [simplify]: Simplified (2 1) to (λ (J K U) (/ (* (* (cos (/ K 2)) J) (* -2 (* (sqrt (sqrt (+ 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (sqrt (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) -1)))))) (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) 121.055 * * * * [progress]: [ 58 / 99 ] simplifiying candidate # 121.055 * [simplify]: Simplifying (* (* (* (* (sqrt (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* 1 1)))) (sqrt (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3))))) -2) (cos (/ K 2))) J) 121.056 * * [simplify]: iters left: 6 (27 enodes) 121.064 * * [simplify]: iters left: 5 (115 enodes) 121.100 * * [simplify]: iters left: 4 (276 enodes) 121.328 * * [simplify]: Extracting #0: cost 1 inf + 0 121.329 * * [simplify]: Extracting #1: cost 30 inf + 0 121.329 * * [simplify]: Extracting #2: cost 61 inf + 2 121.330 * * [simplify]: Extracting #3: cost 67 inf + 86 121.330 * * [simplify]: Extracting #4: cost 73 inf + 88 121.331 * * [simplify]: Extracting #5: cost 226 inf + 807 121.334 * * [simplify]: Extracting #6: cost 442 inf + 1941 121.347 * * [simplify]: Extracting #7: cost 320 inf + 38053 121.398 * * [simplify]: Extracting #8: cost 66 inf + 128316 121.482 * * [simplify]: Extracting #9: cost 0 inf + 156292 121.569 * * [simplify]: Extracting #10: cost 0 inf + 156168 121.653 * [simplify]: Simplified to (* (* (cos (/ K 2)) J) (* -2 (* (sqrt (sqrt (- (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) 1))) (sqrt (sqrt (+ (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))) 1)))))) 121.653 * [simplify]: Simplified (2 1) to (λ (J K U) (/ (* (* (cos (/ K 2)) J) (* -2 (* (sqrt (sqrt (- (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) 1))) (sqrt (sqrt (+ (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))) 1)))))) (* (sqrt (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))) 121.653 * * * * [progress]: [ 59 / 99 ] simplifiying candidate # 121.654 * [simplify]: Simplifying (* (* (* (* (sqrt (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* 1 1)))) (sqrt (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* 1 1))))) -2) (cos (/ K 2))) J) 121.654 * * [simplify]: iters left: 6 (21 enodes) 121.666 * * [simplify]: iters left: 5 (86 enodes) 121.700 * * [simplify]: iters left: 4 (211 enodes) 121.858 * * [simplify]: Extracting #0: cost 1 inf + 0 121.858 * * [simplify]: Extracting #1: cost 24 inf + 0 121.858 * * [simplify]: Extracting #2: cost 45 inf + 2 121.858 * * [simplify]: Extracting #3: cost 53 inf + 86 121.859 * * [simplify]: Extracting #4: cost 140 inf + 90 121.860 * * [simplify]: Extracting #5: cost 315 inf + 2090 121.870 * * [simplify]: Extracting #6: cost 124 inf + 60189 121.901 * * [simplify]: Extracting #7: cost 15 inf + 94711 121.931 * * [simplify]: Extracting #8: cost 3 inf + 100261 121.960 * * [simplify]: Extracting #9: cost 0 inf + 101737 121.997 * [simplify]: Simplified to (* (* (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)) 121.997 * [simplify]: Simplified (2 1) to (λ (J K U) (/ (* (* (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)) (* (sqrt (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) 121.997 * * * * [progress]: [ 60 / 99 ] simplifiying candidate # 121.998 * [simplify]: Simplifying (* (* (* (* (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3))))) -2) (cos (/ K 2))) J) 121.998 * * [simplify]: iters left: 6 (25 enodes) 122.006 * * [simplify]: iters left: 5 (107 enodes) 122.028 * * [simplify]: iters left: 4 (251 enodes) 122.194 * * [simplify]: Extracting #0: cost 1 inf + 0 122.194 * * [simplify]: Extracting #1: cost 30 inf + 0 122.195 * * [simplify]: Extracting #2: cost 60 inf + 44 122.195 * * [simplify]: Extracting #3: cost 67 inf + 86 122.195 * * [simplify]: Extracting #4: cost 70 inf + 88 122.196 * * [simplify]: Extracting #5: cost 189 inf + 929 122.198 * * [simplify]: Extracting #6: cost 331 inf + 9374 122.210 * * [simplify]: Extracting #7: cost 152 inf + 73497 122.261 * * [simplify]: Extracting #8: cost 17 inf + 130396 122.311 * * [simplify]: Extracting #9: cost 0 inf + 141278 122.367 * * [simplify]: Extracting #10: cost 0 inf + 138876 122.438 * * [simplify]: Extracting #11: cost 0 inf + 137413 122.493 * [simplify]: Simplified to (* (* (cos (/ K 2)) J) (* (* (sqrt (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) -2) (sqrt (sqrt (+ (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) 1))))) 122.493 * [simplify]: Simplified (2 1) to (λ (J K U) (/ (* (* (cos (/ K 2)) J) (* (* (sqrt (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) -2) (sqrt (sqrt (+ (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) 122.494 * * * * [progress]: [ 61 / 99 ] simplifiying candidate # 122.494 * [simplify]: Simplifying (* (* (* (* (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* 1 1))))) -2) (cos (/ K 2))) J) 122.494 * * [simplify]: iters left: 6 (24 enodes) 122.501 * * [simplify]: iters left: 5 (99 enodes) 122.535 * * [simplify]: iters left: 4 (228 enodes) 122.654 * * [simplify]: Extracting #0: cost 1 inf + 0 122.654 * * [simplify]: Extracting #1: cost 30 inf + 0 122.655 * * [simplify]: Extracting #2: cost 61 inf + 2 122.655 * * [simplify]: Extracting #3: cost 67 inf + 86 122.656 * * [simplify]: Extracting #4: cost 72 inf + 88 122.657 * * [simplify]: Extracting #5: cost 190 inf + 787 122.663 * * [simplify]: Extracting #6: cost 300 inf + 15802 122.681 * * [simplify]: Extracting #7: cost 104 inf + 74409 122.707 * * [simplify]: Extracting #8: cost 4 inf + 113862 122.737 * * [simplify]: Extracting #9: cost 0 inf + 115813 122.798 * [simplify]: Simplified to (* (* (cos (/ K 2)) J) (* (sqrt (sqrt (- (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1))) (* (sqrt (sqrt (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) -2))) 122.798 * [simplify]: Simplified (2 1) to (λ (J K U) (/ (* (* (cos (/ K 2)) J) (* (sqrt (sqrt (- (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1))) (* (sqrt (sqrt (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) -2))) (sqrt (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) 122.799 * * * * [progress]: [ 62 / 99 ] simplifiying candidate # 122.799 * [simplify]: Simplifying (* (* (* (* (sqrt (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3)))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2))) J) 122.799 * * [simplify]: iters left: 6 (25 enodes) 122.814 * * [simplify]: iters left: 5 (107 enodes) 122.855 * * [simplify]: iters left: 4 (253 enodes) 123.001 * * [simplify]: Extracting #0: cost 1 inf + 0 123.001 * * [simplify]: Extracting #1: cost 30 inf + 0 123.001 * * [simplify]: Extracting #2: cost 61 inf + 2 123.001 * * [simplify]: Extracting #3: cost 67 inf + 86 123.002 * * [simplify]: Extracting #4: cost 70 inf + 88 123.002 * * [simplify]: Extracting #5: cost 196 inf + 888 123.005 * * [simplify]: Extracting #6: cost 333 inf + 13191 123.024 * * [simplify]: Extracting #7: cost 106 inf + 99083 123.075 * * [simplify]: Extracting #8: cost 5 inf + 136997 123.127 * * [simplify]: Extracting #9: cost 0 inf + 139624 123.173 * [simplify]: Simplified to (* (* (sqrt (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (sqrt (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (* (* (cos (/ K 2)) J) -2)) 123.174 * [simplify]: Simplified (2 1) to (λ (J K U) (/ (* (* (sqrt (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (sqrt (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) 123.174 * * * * [progress]: [ 63 / 99 ] simplifiying candidate # 123.175 * [simplify]: Simplifying (* (* (* (* (sqrt (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* 1 1)))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2))) J) 123.175 * * [simplify]: iters left: 6 (24 enodes) 123.188 * * [simplify]: iters left: 5 (99 enodes) 123.225 * * [simplify]: iters left: 4 (228 enodes) 123.374 * * [simplify]: Extracting #0: cost 1 inf + 0 123.374 * * [simplify]: Extracting #1: cost 30 inf + 0 123.375 * * [simplify]: Extracting #2: cost 60 inf + 44 123.375 * * [simplify]: Extracting #3: cost 67 inf + 86 123.376 * * [simplify]: Extracting #4: cost 72 inf + 88 123.376 * * [simplify]: Extracting #5: cost 189 inf + 889 123.380 * * [simplify]: Extracting #6: cost 302 inf + 15231 123.394 * * [simplify]: Extracting #7: cost 93 inf + 80141 123.429 * * [simplify]: Extracting #8: cost 2 inf + 115562 123.467 * * [simplify]: Extracting #9: cost 0 inf + 116502 123.520 * [simplify]: Simplified to (* (* (cos (/ K 2)) J) (* (sqrt (sqrt (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (sqrt (sqrt (- (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1))) -2))) 123.520 * [simplify]: Simplified (2 1) to (λ (J K U) (/ (* (* (cos (/ K 2)) J) (* (sqrt (sqrt (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (sqrt (sqrt (- (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1))) -2))) (sqrt (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) 123.520 * * * * [progress]: [ 64 / 99 ] simplifiying candidate #real (real->posit16 (* (* (* (* (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2))) J))))> 123.521 * * * * [progress]: [ 65 / 99 ] simplifiying candidate # 123.521 * * * * [progress]: [ 66 / 99 ] simplifiying candidate # 123.521 * * * * [progress]: [ 67 / 99 ] simplifiying candidate # 123.521 * * * * [progress]: [ 68 / 99 ] simplifiying candidate # 123.521 * * * * [progress]: [ 69 / 99 ] simplifiying candidate # 123.521 * * * * [progress]: [ 70 / 99 ] simplifiying candidate # 123.521 * * * * [progress]: [ 71 / 99 ] simplifiying candidate # 123.521 * * * * [progress]: [ 72 / 99 ] simplifiying candidate # 123.521 * [simplify]: Simplifying (sqrt (* (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) 123.521 * * [simplify]: iters left: 6 (16 enodes) 123.525 * * [simplify]: iters left: 5 (62 enodes) 123.536 * * [simplify]: iters left: 4 (115 enodes) 123.573 * * [simplify]: iters left: 3 (369 enodes) 123.844 * * [simplify]: Extracting #0: cost 1 inf + 0 123.844 * * [simplify]: Extracting #1: cost 4 inf + 0 123.844 * * [simplify]: Extracting #2: cost 7 inf + 0 123.844 * * [simplify]: Extracting #3: cost 9 inf + 0 123.844 * * [simplify]: Extracting #4: cost 12 inf + 0 123.845 * * [simplify]: Extracting #5: cost 127 inf + 1 123.847 * * [simplify]: Extracting #6: cost 242 inf + 253 123.850 * * [simplify]: Extracting #7: cost 205 inf + 3585 123.860 * * [simplify]: Extracting #8: cost 116 inf + 23179 123.886 * * [simplify]: Extracting #9: cost 11 inf + 48349 123.916 * * [simplify]: Extracting #10: cost 0 inf + 50533 123.950 * * [simplify]: Extracting #11: cost 0 inf + 50453 123.980 * [simplify]: Simplified to (fabs (cbrt (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) 123.980 * [simplify]: Simplified (2 1 1 1 2 1) to (λ (J K U) (* (* (* (* (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (fabs (cbrt (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (sqrt (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) -2) (cos (/ K 2))) J)) 123.981 * * * * [progress]: [ 73 / 99 ] simplifiying candidate # 123.981 * [simplify]: Simplifying (sqrt (sqrt (* (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) 123.982 * * [simplify]: iters left: 6 (16 enodes) 123.990 * * [simplify]: iters left: 5 (62 enodes) 124.010 * * [simplify]: iters left: 4 (115 enodes) 124.046 * * [simplify]: iters left: 3 (369 enodes) 124.331 * * [simplify]: Extracting #0: cost 1 inf + 0 124.331 * * [simplify]: Extracting #1: cost 3 inf + 0 124.331 * * [simplify]: Extracting #2: cost 6 inf + 0 124.331 * * [simplify]: Extracting #3: cost 9 inf + 0 124.331 * * [simplify]: Extracting #4: cost 12 inf + 0 124.331 * * [simplify]: Extracting #5: cost 127 inf + 1 124.333 * * [simplify]: Extracting #6: cost 242 inf + 253 124.336 * * [simplify]: Extracting #7: cost 205 inf + 3585 124.344 * * [simplify]: Extracting #8: cost 116 inf + 23179 124.357 * * [simplify]: Extracting #9: cost 11 inf + 48349 124.377 * * [simplify]: Extracting #10: cost 0 inf + 50533 124.398 * * [simplify]: Extracting #11: cost 0 inf + 50453 124.415 * [simplify]: Simplified to (sqrt (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) 124.415 * [simplify]: Simplified (2 1 1 1 2 1) to (λ (J K U) (* (* (* (* (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (sqrt (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (sqrt (sqrt (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) -2) (cos (/ K 2))) J)) 124.416 * * * * [progress]: [ 74 / 99 ] simplifiying candidate # 124.416 * [simplify]: Simplifying (sqrt (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) 124.416 * * [simplify]: iters left: 6 (15 enodes) 124.421 * * [simplify]: iters left: 5 (58 enodes) 124.437 * * [simplify]: iters left: 4 (111 enodes) 124.469 * * [simplify]: iters left: 3 (365 enodes) 124.687 * * [simplify]: Extracting #0: cost 1 inf + 0 124.687 * * [simplify]: Extracting #1: cost 3 inf + 0 124.687 * * [simplify]: Extracting #2: cost 5 inf + 0 124.687 * * [simplify]: Extracting #3: cost 7 inf + 0 124.687 * * [simplify]: Extracting #4: cost 10 inf + 0 124.688 * * [simplify]: Extracting #5: cost 127 inf + 1 124.691 * * [simplify]: Extracting #6: cost 240 inf + 335 124.693 * * [simplify]: Extracting #7: cost 206 inf + 3380 124.698 * * [simplify]: Extracting #8: cost 115 inf + 22478 124.711 * * [simplify]: Extracting #9: cost 6 inf + 48872 124.727 * * [simplify]: Extracting #10: cost 0 inf + 49894 124.742 * * [simplify]: Extracting #11: cost 0 inf + 49891 124.757 * [simplify]: Simplified to (sqrt (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) 124.757 * [simplify]: Simplified (2 1 1 1 2 1) to (λ (J K U) (* (* (* (* (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (sqrt (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (sqrt (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) -2) (cos (/ K 2))) J)) 124.757 * * * * [progress]: [ 75 / 99 ] simplifiying candidate # 124.757 * [simplify]: Simplifying (sqrt (sqrt 1)) 124.757 * * [simplify]: iters left: 2 (3 enodes) 124.761 * * [simplify]: iters left: 1 (11 enodes) 124.762 * * [simplify]: Extracting #0: cost 1 inf + 0 124.762 * * [simplify]: Extracting #1: cost 0 inf + 1 124.762 * [simplify]: Simplified to 1 124.762 * [simplify]: Simplified (2 1 1 1 2 1) to (λ (J K U) (* (* (* (* (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* 1 (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) -2) (cos (/ K 2))) J)) 124.763 * * * * [progress]: [ 76 / 99 ] simplifiying candidate # 124.763 * [simplify]: Simplifying (sqrt (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) 124.763 * * [simplify]: iters left: 6 (15 enodes) 124.768 * * [simplify]: iters left: 5 (58 enodes) 124.779 * * [simplify]: iters left: 4 (111 enodes) 124.831 * * [simplify]: iters left: 3 (365 enodes) 125.117 * * [simplify]: Extracting #0: cost 1 inf + 0 125.117 * * [simplify]: Extracting #1: cost 3 inf + 0 125.117 * * [simplify]: Extracting #2: cost 5 inf + 0 125.117 * * [simplify]: Extracting #3: cost 7 inf + 0 125.117 * * [simplify]: Extracting #4: cost 10 inf + 0 125.117 * * [simplify]: Extracting #5: cost 127 inf + 1 125.118 * * [simplify]: Extracting #6: cost 240 inf + 335 125.120 * * [simplify]: Extracting #7: cost 206 inf + 3380 125.125 * * [simplify]: Extracting #8: cost 115 inf + 22478 125.141 * * [simplify]: Extracting #9: cost 6 inf + 48872 125.169 * * [simplify]: Extracting #10: cost 0 inf + 49894 125.198 * * [simplify]: Extracting #11: cost 0 inf + 49891 125.214 * [simplify]: Simplified to (sqrt (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) 125.214 * [simplify]: Simplified (2 1 1 1 2 1) to (λ (J K U) (* (* (* (* (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (sqrt (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (sqrt (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) -2) (cos (/ K 2))) J)) 125.214 * * * * [progress]: [ 77 / 99 ] simplifiying candidate # 125.214 * [simplify]: Simplifying (sqrt 1) 125.214 * * [simplify]: iters left: 1 (2 enodes) 125.217 * * [simplify]: Extracting #0: cost 1 inf + 0 125.217 * * [simplify]: Extracting #1: cost 0 inf + 1 125.217 * [simplify]: Simplified to 1 125.217 * [simplify]: Simplified (2 1 1 1 2 1) to (λ (J K U) (* (* (* (* (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* 1 (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) -2) (cos (/ K 2))) J)) 125.217 * * * * [progress]: [ 78 / 99 ] simplifiying candidate # 125.217 * [simplify]: Simplifying (sqrt (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3)))) 125.217 * * [simplify]: iters left: 6 (17 enodes) 125.223 * * [simplify]: iters left: 5 (73 enodes) 125.250 * * [simplify]: iters left: 4 (179 enodes) 125.383 * * [simplify]: Extracting #0: cost 1 inf + 0 125.383 * * [simplify]: Extracting #1: cost 3 inf + 0 125.383 * * [simplify]: Extracting #2: cost 5 inf + 0 125.383 * * [simplify]: Extracting #3: cost 8 inf + 0 125.384 * * [simplify]: Extracting #4: cost 107 inf + 1 125.385 * * [simplify]: Extracting #5: cost 312 inf + 218 125.388 * * [simplify]: Extracting #6: cost 343 inf + 1221 125.395 * * [simplify]: Extracting #7: cost 266 inf + 19997 125.427 * * [simplify]: Extracting #8: cost 50 inf + 97980 125.462 * * [simplify]: Extracting #9: cost 2 inf + 112185 125.498 * * [simplify]: Extracting #10: cost 0 inf + 112706 125.522 * [simplify]: Simplified to (sqrt (sqrt (+ 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))))))) 125.522 * [simplify]: Simplified (2 1 1 1 2 1) to (λ (J K U) (* (* (* (* (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (/ (sqrt (sqrt (+ 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) -2) (cos (/ K 2))) J)) 125.523 * * * * [progress]: [ 79 / 99 ] simplifiying candidate # 125.523 * [simplify]: Simplifying (sqrt (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* 1 1)))) 125.523 * * [simplify]: iters left: 6 (16 enodes) 125.532 * * [simplify]: iters left: 5 (65 enodes) 125.556 * * [simplify]: iters left: 4 (155 enodes) 125.666 * * [simplify]: Extracting #0: cost 1 inf + 0 125.666 * * [simplify]: Extracting #1: cost 3 inf + 0 125.666 * * [simplify]: Extracting #2: cost 5 inf + 0 125.666 * * [simplify]: Extracting #3: cost 11 inf + 0 125.667 * * [simplify]: Extracting #4: cost 107 inf + 2 125.668 * * [simplify]: Extracting #5: cost 302 inf + 6 125.670 * * [simplify]: Extracting #6: cost 294 inf + 1169 125.681 * * [simplify]: Extracting #7: cost 209 inf + 22733 125.711 * * [simplify]: Extracting #8: cost 24 inf + 82042 125.734 * * [simplify]: Extracting #9: cost 0 inf + 90299 125.754 * [simplify]: Simplified to (sqrt (sqrt (- (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1))) 125.754 * [simplify]: Simplified (2 1 1 1 2 1) to (λ (J K U) (* (* (* (* (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (/ (sqrt (sqrt (- (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1))) (sqrt (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) -2) (cos (/ K 2))) J)) 125.754 * * * * [progress]: [ 80 / 99 ] simplifiying candidate # 125.754 * [simplify]: Simplifying (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 125.755 * * [simplify]: iters left: 6 (12 enodes) 125.758 * * [simplify]: iters left: 5 (49 enodes) 125.768 * * [simplify]: iters left: 4 (102 enodes) 125.795 * * [simplify]: iters left: 3 (356 enodes) 126.031 * * [simplify]: Extracting #0: cost 1 inf + 0 126.031 * * [simplify]: Extracting #1: cost 4 inf + 0 126.031 * * [simplify]: Extracting #2: cost 116 inf + 1 126.032 * * [simplify]: Extracting #3: cost 234 inf + 254 126.034 * * [simplify]: Extracting #4: cost 192 inf + 4198 126.038 * * [simplify]: Extracting #5: cost 121 inf + 19235 126.059 * * [simplify]: Extracting #6: cost 5 inf + 46310 126.080 * * [simplify]: Extracting #7: cost 0 inf + 47117 126.097 * * [simplify]: Extracting #8: cost 0 inf + 46998 126.122 * [simplify]: Simplified to (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 126.122 * [simplify]: Simplified (2 1 1 1 2 1) to (λ (J K U) (* (* (* (* (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (pow (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (/ 1/2 2))) -2) (cos (/ K 2))) J)) 126.122 * * * * [progress]: [ 81 / 99 ] simplifiying candidate # 126.122 * [simplify]: Simplifying (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 126.123 * * [simplify]: iters left: 6 (13 enodes) 126.130 * * [simplify]: iters left: 5 (52 enodes) 126.144 * * [simplify]: iters left: 4 (105 enodes) 126.181 * * [simplify]: iters left: 3 (359 enodes) 126.430 * * [simplify]: Extracting #0: cost 1 inf + 0 126.430 * * [simplify]: Extracting #1: cost 3 inf + 0 126.430 * * [simplify]: Extracting #2: cost 6 inf + 0 126.431 * * [simplify]: Extracting #3: cost 118 inf + 1 126.432 * * [simplify]: Extracting #4: cost 235 inf + 336 126.436 * * [simplify]: Extracting #5: cost 193 inf + 4402 126.440 * * [simplify]: Extracting #6: cost 119 inf + 19348 126.465 * * [simplify]: Extracting #7: cost 7 inf + 46040 126.489 * * [simplify]: Extracting #8: cost 0 inf + 47488 126.503 * [simplify]: Simplified to (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 126.503 * [simplify]: Simplified (2 1 1 1 2 1) to (λ (J K U) (* (* (* (* (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (pow (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (/ 1 2))) -2) (cos (/ K 2))) J)) 126.504 * * * * [progress]: [ 82 / 99 ] simplifiying candidate # 126.504 * [simplify]: Simplifying (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 126.504 * * [simplify]: iters left: 6 (12 enodes) 126.508 * * [simplify]: iters left: 5 (49 enodes) 126.517 * * [simplify]: iters left: 4 (102 enodes) 126.570 * * [simplify]: iters left: 3 (356 enodes) 126.816 * * [simplify]: Extracting #0: cost 1 inf + 0 126.816 * * [simplify]: Extracting #1: cost 4 inf + 0 126.816 * * [simplify]: Extracting #2: cost 116 inf + 1 126.819 * * [simplify]: Extracting #3: cost 234 inf + 254 126.823 * * [simplify]: Extracting #4: cost 192 inf + 4198 126.831 * * [simplify]: Extracting #5: cost 121 inf + 19235 126.855 * * [simplify]: Extracting #6: cost 5 inf + 46310 126.870 * * [simplify]: Extracting #7: cost 0 inf + 47117 126.892 * * [simplify]: Extracting #8: cost 0 inf + 46998 126.919 * [simplify]: Simplified to (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 126.919 * [simplify]: Simplified (2 1 1 1 2 1) to (λ (J K U) (* (* (* (* (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (pow (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (/ (/ 1 2) 2))) -2) (cos (/ K 2))) J)) 126.919 * * * * [progress]: [ 83 / 99 ] simplifiying candidate # 126.919 * * * * [progress]: [ 84 / 99 ] simplifiying candidate # 126.919 * [simplify]: Simplifying (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) 126.919 * * [simplify]: iters left: 6 (14 enodes) 126.923 * * [simplify]: iters left: 5 (55 enodes) 126.933 * * [simplify]: iters left: 4 (108 enodes) 126.977 * * [simplify]: iters left: 3 (363 enodes) 127.281 * * [simplify]: Extracting #0: cost 1 inf + 0 127.281 * * [simplify]: Extracting #1: cost 3 inf + 0 127.281 * * [simplify]: Extracting #2: cost 5 inf + 0 127.281 * * [simplify]: Extracting #3: cost 8 inf + 0 127.282 * * [simplify]: Extracting #4: cost 123 inf + 1 127.284 * * [simplify]: Extracting #5: cost 234 inf + 420 127.292 * * [simplify]: Extracting #6: cost 203 inf + 3175 127.296 * * [simplify]: Extracting #7: cost 127 inf + 18949 127.309 * * [simplify]: Extracting #8: cost 7 inf + 46860 127.324 * * [simplify]: Extracting #9: cost 0 inf + 48232 127.339 * [simplify]: Simplified to (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 127.339 * [simplify]: Simplified (2 1 1 1 2 1) to (λ (J K U) (* (* (* (* (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (fabs (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))))) -2) (cos (/ K 2))) J)) 127.339 * * * * [progress]: [ 85 / 99 ] simplifiying candidate # 127.339 * [simplify]: Simplifying (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) 127.339 * * [simplify]: iters left: 6 (14 enodes) 127.343 * * [simplify]: iters left: 5 (55 enodes) 127.354 * * [simplify]: iters left: 4 (108 enodes) 127.410 * * [simplify]: iters left: 3 (363 enodes) 127.647 * * [simplify]: Extracting #0: cost 1 inf + 0 127.647 * * [simplify]: Extracting #1: cost 3 inf + 0 127.647 * * [simplify]: Extracting #2: cost 5 inf + 0 127.648 * * [simplify]: Extracting #3: cost 8 inf + 0 127.648 * * [simplify]: Extracting #4: cost 123 inf + 1 127.650 * * [simplify]: Extracting #5: cost 234 inf + 420 127.653 * * [simplify]: Extracting #6: cost 203 inf + 3175 127.659 * * [simplify]: Extracting #7: cost 127 inf + 18949 127.673 * * [simplify]: Extracting #8: cost 7 inf + 46860 127.691 * * [simplify]: Extracting #9: cost 0 inf + 48232 127.723 * [simplify]: Simplified to (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 127.723 * [simplify]: Simplified (2 1 1 1 2 1) to (λ (J K U) (* (* (* (* (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (fabs (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))))) -2) (cos (/ K 2))) J)) 127.723 * * * * [progress]: [ 86 / 99 ] simplifiying candidate # 127.723 * * * * [progress]: [ 87 / 99 ] simplifiying candidate #real (real->posit16 (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) -2) (cos (/ K 2))) J))> 127.723 * * * * [progress]: [ 88 / 99 ] simplifiying candidate # 127.724 * [simplify]: Simplifying 1 127.724 * * [simplify]: iters left: 0 (1 enodes) 127.725 * * [simplify]: Extracting #0: cost 1 inf + 0 127.725 * * [simplify]: Extracting #1: cost 0 inf + 1 127.725 * [simplify]: Simplified to 1 127.725 * [simplify]: Simplified (2 1 1 1 2 1) to (λ (J K U) (* (* (* (* (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt 1)) -2) (cos (/ K 2))) J)) 127.725 * * * * [progress]: [ 89 / 99 ] simplifiying candidate # 127.725 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 127.725 * * [simplify]: iters left: 6 (9 enodes) 127.727 * * [simplify]: iters left: 5 (34 enodes) 127.733 * * [simplify]: iters left: 4 (56 enodes) 127.742 * * [simplify]: iters left: 3 (90 enodes) 127.758 * * [simplify]: iters left: 2 (114 enodes) 127.790 * * [simplify]: iters left: 1 (131 enodes) 127.828 * * [simplify]: Extracting #0: cost 1 inf + 0 127.828 * * [simplify]: Extracting #1: cost 22 inf + 0 127.829 * * [simplify]: Extracting #2: cost 37 inf + 3 127.829 * * [simplify]: Extracting #3: cost 31 inf + 380 127.830 * * [simplify]: Extracting #4: cost 17 inf + 1834 127.832 * * [simplify]: Extracting #5: cost 3 inf + 4117 127.834 * * [simplify]: Extracting #6: cost 0 inf + 4586 127.836 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 127.836 * [simplify]: Simplified (2 1 1 1 2 1) to (λ (J K U) (* (* (* (* (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (/ (/ U (/ J 1/2)) (cos (* 1/2 K))))) -2) (cos (/ K 2))) J)) 127.836 * * * * [progress]: [ 90 / 99 ] simplifiying candidate # 127.837 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 127.837 * * [simplify]: iters left: 6 (9 enodes) 127.841 * * [simplify]: iters left: 5 (34 enodes) 127.852 * * [simplify]: iters left: 4 (56 enodes) 127.861 * * [simplify]: iters left: 3 (90 enodes) 127.874 * * [simplify]: iters left: 2 (114 enodes) 127.895 * * [simplify]: iters left: 1 (131 enodes) 127.932 * * [simplify]: Extracting #0: cost 1 inf + 0 127.932 * * [simplify]: Extracting #1: cost 22 inf + 0 127.932 * * [simplify]: Extracting #2: cost 37 inf + 3 127.933 * * [simplify]: Extracting #3: cost 31 inf + 380 127.935 * * [simplify]: Extracting #4: cost 17 inf + 1834 127.937 * * [simplify]: Extracting #5: cost 3 inf + 4117 127.939 * * [simplify]: Extracting #6: cost 0 inf + 4586 127.941 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 127.942 * [simplify]: Simplified (2 1 1 1 2 1) to (λ (J K U) (* (* (* (* (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (/ (/ U (/ J 1/2)) (cos (* 1/2 K))))) -2) (cos (/ K 2))) J)) 127.942 * * * * [progress]: [ 91 / 99 ] simplifiying candidate # 127.942 * [simplify]: Simplifying 1 127.942 * * [simplify]: iters left: 0 (1 enodes) 127.944 * * [simplify]: Extracting #0: cost 1 inf + 0 127.944 * * [simplify]: Extracting #1: cost 0 inf + 1 127.944 * [simplify]: Simplified to 1 127.944 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (* (* (sqrt 1) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2))) J)) 127.944 * * * * [progress]: [ 92 / 99 ] simplifiying candidate # 127.944 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 127.944 * * [simplify]: iters left: 6 (9 enodes) 127.949 * * [simplify]: iters left: 5 (34 enodes) 127.959 * * [simplify]: iters left: 4 (56 enodes) 127.977 * * [simplify]: iters left: 3 (90 enodes) 128.004 * * [simplify]: iters left: 2 (114 enodes) 128.026 * * [simplify]: iters left: 1 (131 enodes) 128.045 * * [simplify]: Extracting #0: cost 1 inf + 0 128.045 * * [simplify]: Extracting #1: cost 22 inf + 0 128.045 * * [simplify]: Extracting #2: cost 37 inf + 3 128.046 * * [simplify]: Extracting #3: cost 31 inf + 380 128.046 * * [simplify]: Extracting #4: cost 17 inf + 1834 128.048 * * [simplify]: Extracting #5: cost 3 inf + 4117 128.050 * * [simplify]: Extracting #6: cost 0 inf + 4586 128.053 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 128.053 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (* (* (sqrt (/ (/ U (/ J 1/2)) (cos (* 1/2 K)))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2))) J)) 128.053 * * * * [progress]: [ 93 / 99 ] simplifiying candidate # 128.054 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 128.054 * * [simplify]: iters left: 6 (9 enodes) 128.059 * * [simplify]: iters left: 5 (34 enodes) 128.069 * * [simplify]: iters left: 4 (56 enodes) 128.084 * * [simplify]: iters left: 3 (90 enodes) 128.097 * * [simplify]: iters left: 2 (114 enodes) 128.127 * * [simplify]: iters left: 1 (131 enodes) 128.164 * * [simplify]: Extracting #0: cost 1 inf + 0 128.164 * * [simplify]: Extracting #1: cost 22 inf + 0 128.164 * * [simplify]: Extracting #2: cost 37 inf + 3 128.165 * * [simplify]: Extracting #3: cost 31 inf + 380 128.165 * * [simplify]: Extracting #4: cost 17 inf + 1834 128.167 * * [simplify]: Extracting #5: cost 3 inf + 4117 128.169 * * [simplify]: Extracting #6: cost 0 inf + 4586 128.172 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 128.172 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (* (* (sqrt (/ (/ U (/ J 1/2)) (cos (* 1/2 K)))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2))) J)) 128.173 * * * * [progress]: [ 94 / 99 ] simplifiying candidate # 128.173 * [simplify]: Simplifying (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 128.173 * * [simplify]: iters left: 6 (10 enodes) 128.176 * * [simplify]: iters left: 5 (43 enodes) 128.184 * * [simplify]: iters left: 4 (79 enodes) 128.198 * * [simplify]: iters left: 3 (118 enodes) 128.215 * * [simplify]: iters left: 2 (171 enodes) 128.264 * * [simplify]: iters left: 1 (242 enodes) 128.336 * * [simplify]: Extracting #0: cost 1 inf + 0 128.336 * * [simplify]: Extracting #1: cost 6 inf + 0 128.336 * * [simplify]: Extracting #2: cost 41 inf + 0 128.337 * * [simplify]: Extracting #3: cost 56 inf + 213 128.338 * * [simplify]: Extracting #4: cost 20 inf + 2732 128.339 * * [simplify]: Extracting #5: cost 1 inf + 4576 128.340 * * [simplify]: Extracting #6: cost 0 inf + 4698 128.342 * [simplify]: Simplified to (- (* -2 J) (/ (* U U) (/ J 1/4))) 128.342 * [simplify]: Simplified (2) to (λ (J K U) (- (* -2 J) (/ (* U U) (/ J 1/4)))) 128.342 * * * * [progress]: [ 95 / 99 ] simplifiying candidate # 128.342 * [simplify]: Simplifying (* -1 U) 128.342 * * [simplify]: iters left: 2 (3 enodes) 128.343 * * [simplify]: iters left: 1 (11 enodes) 128.345 * * [simplify]: Extracting #0: cost 1 inf + 0 128.345 * * [simplify]: Extracting #1: cost 4 inf + 0 128.345 * * [simplify]: Extracting #2: cost 0 inf + 84 128.345 * [simplify]: Simplified to (- U) 128.345 * [simplify]: Simplified (2) to (λ (J K U) (- U)) 128.345 * * * * [progress]: [ 96 / 99 ] simplifiying candidate # 128.345 * [simplify]: Simplifying (* -1 U) 128.345 * * [simplify]: iters left: 2 (3 enodes) 128.346 * * [simplify]: iters left: 1 (11 enodes) 128.348 * * [simplify]: Extracting #0: cost 1 inf + 0 128.348 * * [simplify]: Extracting #1: cost 4 inf + 0 128.348 * * [simplify]: Extracting #2: cost 0 inf + 84 128.348 * [simplify]: Simplified to (- U) 128.348 * [simplify]: Simplified (2) to (λ (J K U) (- U)) 128.348 * * * * [progress]: [ 97 / 99 ] simplifiying candidate # 128.349 * [simplify]: Simplifying 1 128.349 * * [simplify]: iters left: 0 (1 enodes) 128.350 * * [simplify]: Extracting #0: cost 1 inf + 0 128.350 * * [simplify]: Extracting #1: cost 0 inf + 1 128.350 * [simplify]: Simplified to 1 128.350 * [simplify]: Simplified (2 1 1 1 2) to (λ (J K U) (* (* (* (* (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) 1) -2) (cos (/ K 2))) J)) 128.350 * * * * [progress]: [ 98 / 99 ] simplifiying candidate # 128.350 * [simplify]: Simplifying (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ 1 J)))) (* 2 (log (/ 1 U)))))) 128.350 * * [simplify]: iters left: 6 (22 enodes) 128.363 * * [simplify]: iters left: 5 (93 enodes) 128.385 * * [simplify]: iters left: 4 (173 enodes) 128.434 * * [simplify]: iters left: 3 (388 enodes) 128.568 * * [simplify]: Extracting #0: cost 1 inf + 0 128.568 * * [simplify]: Extracting #1: cost 25 inf + 0 128.569 * * [simplify]: Extracting #2: cost 119 inf + 1 128.575 * * [simplify]: Extracting #3: cost 286 inf + 217 128.577 * * [simplify]: Extracting #4: cost 303 inf + 1867 128.582 * * [simplify]: Extracting #5: cost 259 inf + 10585 128.590 * * [simplify]: Extracting #6: cost 196 inf + 22433 128.609 * * [simplify]: Extracting #7: cost 76 inf + 68197 128.642 * * [simplify]: Extracting #8: cost 3 inf + 101795 128.676 * * [simplify]: Extracting #9: cost 0 inf + 102926 128.711 * * [simplify]: Extracting #10: cost 0 inf + 102627 128.747 * [simplify]: Simplified to (exp (* 1/4 (+ (* -2 (- (log J) (log U))) (log (/ 1/4 (* (cos (* K 1/2)) (cos (* K 1/2)))))))) 128.747 * [simplify]: Simplified (2 1 1 1 2) to (λ (J K U) (* (* (* (* (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (exp (* 1/4 (+ (* -2 (- (log J) (log U))) (log (/ 1/4 (* (cos (* K 1/2)) (cos (* K 1/2))))))))) -2) (cos (/ K 2))) J)) 128.747 * * * * [progress]: [ 99 / 99 ] simplifiying candidate # 128.748 * [simplify]: Simplifying (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ -1 J)))) (* 2 (log (/ -1 U)))))) 128.748 * * [simplify]: iters left: 6 (22 enodes) 128.761 * * [simplify]: iters left: 5 (90 enodes) 128.778 * * [simplify]: iters left: 4 (170 enodes) 128.826 * * [simplify]: iters left: 3 (405 enodes) 128.960 * * [simplify]: Extracting #0: cost 1 inf + 0 128.960 * * [simplify]: Extracting #1: cost 26 inf + 0 128.960 * * [simplify]: Extracting #2: cost 143 inf + 1 128.961 * * [simplify]: Extracting #3: cost 359 inf + 218 128.963 * * [simplify]: Extracting #4: cost 398 inf + 1062 128.965 * * [simplify]: Extracting #5: cost 378 inf + 4030 128.969 * * [simplify]: Extracting #6: cost 253 inf + 32889 128.985 * * [simplify]: Extracting #7: cost 56 inf + 112334 129.011 * * [simplify]: Extracting #8: cost 5 inf + 136747 129.036 * * [simplify]: Extracting #9: cost 0 inf + 141674 129.069 * * [simplify]: Extracting #10: cost 0 inf + 141094 129.118 * [simplify]: Simplified to (exp (+ (* 1/4 (log (/ 1/4 (* (cos (* K 1/2)) (cos (* K 1/2)))))) (* (- (log (/ -1 J)) (log (/ -1 U))) 1/2))) 129.118 * [simplify]: Simplified (2 1 1 1 2) to (λ (J K U) (* (* (* (* (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (exp (+ (* 1/4 (log (/ 1/4 (* (cos (* K 1/2)) (cos (* K 1/2)))))) (* (- (log (/ -1 J)) (log (/ -1 U))) 1/2)))) -2) (cos (/ K 2))) J)) 129.119 * * * [progress]: adding candidates to table 130.686 * * [progress]: iteration 4 / 4 130.686 * * * [progress]: picking best candidate 130.740 * * * * [pick]: Picked # 130.740 * * * [progress]: localizing error 130.789 * * * [progress]: generating rewritten candidates 130.789 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 130.922 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 131.343 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1) 131.344 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 131.348 * * * [progress]: generating series expansions 131.348 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 131.349 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) 131.349 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U K J) around 0 131.349 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 131.349 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 131.349 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 131.349 * [taylor]: Taking taylor expansion of 1/4 in J 131.349 * [backup-simplify]: Simplify 1/4 into 1/4 131.349 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 131.349 * [taylor]: Taking taylor expansion of (pow U 2) in J 131.349 * [taylor]: Taking taylor expansion of U in J 131.349 * [backup-simplify]: Simplify U into U 131.349 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 131.349 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 131.349 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 131.349 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 131.349 * [taylor]: Taking taylor expansion of 1/2 in J 131.349 * [backup-simplify]: Simplify 1/2 into 1/2 131.349 * [taylor]: Taking taylor expansion of K in J 131.349 * [backup-simplify]: Simplify K into K 131.349 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 131.350 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 131.350 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 131.350 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 131.350 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 131.351 * [backup-simplify]: Simplify (- 0) into 0 131.351 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 131.351 * [taylor]: Taking taylor expansion of (pow J 2) in J 131.351 * [taylor]: Taking taylor expansion of J in J 131.351 * [backup-simplify]: Simplify 0 into 0 131.351 * [backup-simplify]: Simplify 1 into 1 131.351 * [backup-simplify]: Simplify (* U U) into (pow U 2) 131.351 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 131.352 * [backup-simplify]: Simplify (* 1 1) into 1 131.352 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 131.352 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 131.352 * [taylor]: Taking taylor expansion of 1 in J 131.352 * [backup-simplify]: Simplify 1 into 1 131.352 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 131.353 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 131.353 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 131.353 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 131.354 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 131.354 * [backup-simplify]: Simplify (+ 0) into 0 131.355 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 131.355 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 131.356 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 131.357 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 131.357 * [backup-simplify]: Simplify (- 0) into 0 131.357 * [backup-simplify]: Simplify (+ 0 0) into 0 131.357 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 131.358 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 131.358 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 131.359 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 131.359 * [backup-simplify]: Simplify (+ 0 0) into 0 131.360 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 131.360 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 131.360 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 131.360 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 131.360 * [taylor]: Taking taylor expansion of 1/4 in K 131.360 * [backup-simplify]: Simplify 1/4 into 1/4 131.360 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 131.360 * [taylor]: Taking taylor expansion of (pow U 2) in K 131.360 * [taylor]: Taking taylor expansion of U in K 131.360 * [backup-simplify]: Simplify U into U 131.360 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 131.360 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 131.360 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 131.360 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 131.360 * [taylor]: Taking taylor expansion of 1/2 in K 131.360 * [backup-simplify]: Simplify 1/2 into 1/2 131.360 * [taylor]: Taking taylor expansion of K in K 131.360 * [backup-simplify]: Simplify 0 into 0 131.360 * [backup-simplify]: Simplify 1 into 1 131.361 * [backup-simplify]: Simplify (* 1/2 0) into 0 131.361 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 131.361 * [taylor]: Taking taylor expansion of (pow J 2) in K 131.361 * [taylor]: Taking taylor expansion of J in K 131.361 * [backup-simplify]: Simplify J into J 131.361 * [backup-simplify]: Simplify (* U U) into (pow U 2) 131.362 * [backup-simplify]: Simplify (* 1 1) into 1 131.362 * [backup-simplify]: Simplify (* J J) into (pow J 2) 131.362 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 131.362 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 131.362 * [taylor]: Taking taylor expansion of 1 in K 131.362 * [backup-simplify]: Simplify 1 into 1 131.362 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 131.363 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 131.363 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 131.363 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 131.363 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 131.363 * [backup-simplify]: Simplify (+ 0) into 0 131.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 131.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 131.365 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 131.365 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 131.366 * [backup-simplify]: Simplify (+ 0 0) into 0 131.366 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 131.366 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 131.366 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 131.366 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 131.366 * [taylor]: Taking taylor expansion of 1/4 in U 131.366 * [backup-simplify]: Simplify 1/4 into 1/4 131.366 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 131.366 * [taylor]: Taking taylor expansion of (pow U 2) in U 131.366 * [taylor]: Taking taylor expansion of U in U 131.366 * [backup-simplify]: Simplify 0 into 0 131.366 * [backup-simplify]: Simplify 1 into 1 131.366 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 131.366 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 131.366 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 131.366 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 131.366 * [taylor]: Taking taylor expansion of 1/2 in U 131.366 * [backup-simplify]: Simplify 1/2 into 1/2 131.366 * [taylor]: Taking taylor expansion of K in U 131.367 * [backup-simplify]: Simplify K into K 131.367 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 131.367 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 131.367 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 131.367 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 131.367 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 131.367 * [backup-simplify]: Simplify (- 0) into 0 131.367 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 131.367 * [taylor]: Taking taylor expansion of (pow J 2) in U 131.367 * [taylor]: Taking taylor expansion of J in U 131.367 * [backup-simplify]: Simplify J into J 131.368 * [backup-simplify]: Simplify (* 1 1) into 1 131.368 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 131.368 * [backup-simplify]: Simplify (* J J) into (pow J 2) 131.368 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 131.369 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 131.369 * [taylor]: Taking taylor expansion of 1 in U 131.369 * [backup-simplify]: Simplify 1 into 1 131.369 * [backup-simplify]: Simplify (+ 0 1) into 1 131.369 * [backup-simplify]: Simplify (sqrt 1) into 1 131.370 * [backup-simplify]: Simplify (+ 0 0) into 0 131.371 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 131.371 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 131.371 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 131.371 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 131.371 * [taylor]: Taking taylor expansion of 1/4 in U 131.371 * [backup-simplify]: Simplify 1/4 into 1/4 131.371 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 131.371 * [taylor]: Taking taylor expansion of (pow U 2) in U 131.371 * [taylor]: Taking taylor expansion of U in U 131.371 * [backup-simplify]: Simplify 0 into 0 131.371 * [backup-simplify]: Simplify 1 into 1 131.371 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 131.371 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 131.371 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 131.371 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 131.371 * [taylor]: Taking taylor expansion of 1/2 in U 131.371 * [backup-simplify]: Simplify 1/2 into 1/2 131.371 * [taylor]: Taking taylor expansion of K in U 131.371 * [backup-simplify]: Simplify K into K 131.371 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 131.371 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 131.371 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 131.371 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 131.371 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 131.372 * [backup-simplify]: Simplify (- 0) into 0 131.372 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 131.372 * [taylor]: Taking taylor expansion of (pow J 2) in U 131.372 * [taylor]: Taking taylor expansion of J in U 131.372 * [backup-simplify]: Simplify J into J 131.373 * [backup-simplify]: Simplify (* 1 1) into 1 131.373 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 131.373 * [backup-simplify]: Simplify (* J J) into (pow J 2) 131.373 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 131.373 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 131.373 * [taylor]: Taking taylor expansion of 1 in U 131.374 * [backup-simplify]: Simplify 1 into 1 131.374 * [backup-simplify]: Simplify (+ 0 1) into 1 131.374 * [backup-simplify]: Simplify (sqrt 1) into 1 131.375 * [backup-simplify]: Simplify (+ 0 0) into 0 131.375 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 131.376 * [taylor]: Taking taylor expansion of 1 in K 131.376 * [backup-simplify]: Simplify 1 into 1 131.376 * [taylor]: Taking taylor expansion of 1 in J 131.376 * [backup-simplify]: Simplify 1 into 1 131.376 * [taylor]: Taking taylor expansion of 0 in K 131.376 * [backup-simplify]: Simplify 0 into 0 131.376 * [taylor]: Taking taylor expansion of 0 in J 131.376 * [backup-simplify]: Simplify 0 into 0 131.376 * [taylor]: Taking taylor expansion of 0 in J 131.376 * [backup-simplify]: Simplify 0 into 0 131.376 * [backup-simplify]: Simplify 1 into 1 131.376 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 131.376 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 131.378 * [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))) 131.378 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 131.378 * [taylor]: Taking taylor expansion of 1/8 in K 131.378 * [backup-simplify]: Simplify 1/8 into 1/8 131.378 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 131.378 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 131.378 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 131.378 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 131.378 * [taylor]: Taking taylor expansion of 1/2 in K 131.378 * [backup-simplify]: Simplify 1/2 into 1/2 131.378 * [taylor]: Taking taylor expansion of K in K 131.378 * [backup-simplify]: Simplify 0 into 0 131.378 * [backup-simplify]: Simplify 1 into 1 131.378 * [backup-simplify]: Simplify (* 1/2 0) into 0 131.379 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 131.379 * [taylor]: Taking taylor expansion of (pow J 2) in K 131.379 * [taylor]: Taking taylor expansion of J in K 131.379 * [backup-simplify]: Simplify J into J 131.380 * [backup-simplify]: Simplify (* 1 1) into 1 131.380 * [backup-simplify]: Simplify (* J J) into (pow J 2) 131.380 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 131.380 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2)) 131.380 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J 131.380 * [taylor]: Taking taylor expansion of 1/8 in J 131.380 * [backup-simplify]: Simplify 1/8 into 1/8 131.380 * [taylor]: Taking taylor expansion of (pow J 2) in J 131.380 * [taylor]: Taking taylor expansion of J in J 131.380 * [backup-simplify]: Simplify 0 into 0 131.380 * [backup-simplify]: Simplify 1 into 1 131.380 * [backup-simplify]: Simplify (* 1 1) into 1 131.380 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 131.381 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 131.381 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 131.381 * [backup-simplify]: Simplify 0 into 0 131.381 * [taylor]: Taking taylor expansion of 0 in J 131.381 * [backup-simplify]: Simplify 0 into 0 131.381 * [taylor]: Taking taylor expansion of 0 in J 131.381 * [backup-simplify]: Simplify 0 into 0 131.381 * [backup-simplify]: Simplify 0 into 0 131.381 * [backup-simplify]: Simplify 0 into 0 131.382 * [backup-simplify]: Simplify 0 into 0 131.382 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 131.382 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 131.382 * [backup-simplify]: Simplify (+ 0) into 0 131.383 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 131.383 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 131.383 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 131.384 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 131.384 * [backup-simplify]: Simplify (- 0) into 0 131.384 * [backup-simplify]: Simplify (+ 0 0) into 0 131.384 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 131.384 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 131.385 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 131.385 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 131.385 * [backup-simplify]: Simplify (+ 0 0) into 0 131.386 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 131.386 * [taylor]: Taking taylor expansion of 0 in K 131.386 * [backup-simplify]: Simplify 0 into 0 131.386 * [taylor]: Taking taylor expansion of 0 in J 131.386 * [backup-simplify]: Simplify 0 into 0 131.386 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 131.386 * [backup-simplify]: Simplify (+ 0) into 0 131.386 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 131.387 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 131.387 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0 131.387 * [taylor]: Taking taylor expansion of 0 in J 131.387 * [backup-simplify]: Simplify 0 into 0 131.387 * [taylor]: Taking taylor expansion of 0 in J 131.387 * [backup-simplify]: Simplify 0 into 0 131.387 * [taylor]: Taking taylor expansion of 0 in J 131.387 * [backup-simplify]: Simplify 0 into 0 131.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 131.388 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 131.388 * [backup-simplify]: Simplify 0 into 0 131.388 * [backup-simplify]: Simplify 0 into 0 131.388 * [backup-simplify]: Simplify 1 into 1 131.389 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 131.389 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U K J) around 0 131.389 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 131.389 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 131.389 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 131.389 * [taylor]: Taking taylor expansion of 1/4 in J 131.389 * [backup-simplify]: Simplify 1/4 into 1/4 131.389 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 131.389 * [taylor]: Taking taylor expansion of (pow J 2) in J 131.389 * [taylor]: Taking taylor expansion of J in J 131.389 * [backup-simplify]: Simplify 0 into 0 131.389 * [backup-simplify]: Simplify 1 into 1 131.389 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 131.389 * [taylor]: Taking taylor expansion of (pow U 2) in J 131.389 * [taylor]: Taking taylor expansion of U in J 131.389 * [backup-simplify]: Simplify U into U 131.389 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 131.389 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 131.389 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 131.389 * [taylor]: Taking taylor expansion of 1/2 in J 131.389 * [backup-simplify]: Simplify 1/2 into 1/2 131.389 * [taylor]: Taking taylor expansion of K in J 131.389 * [backup-simplify]: Simplify K into K 131.389 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 131.389 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 131.389 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 131.389 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 131.389 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 131.389 * [backup-simplify]: Simplify (- 0) into 0 131.389 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 131.390 * [backup-simplify]: Simplify (* 1 1) into 1 131.390 * [backup-simplify]: Simplify (* U U) into (pow U 2) 131.390 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 131.390 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 131.390 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 131.390 * [taylor]: Taking taylor expansion of 1 in J 131.390 * [backup-simplify]: Simplify 1 into 1 131.390 * [backup-simplify]: Simplify (+ 0 1) into 1 131.390 * [backup-simplify]: Simplify (sqrt 1) into 1 131.391 * [backup-simplify]: Simplify (+ 0 0) into 0 131.391 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 131.391 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 131.391 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 131.391 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 131.391 * [taylor]: Taking taylor expansion of 1/4 in K 131.391 * [backup-simplify]: Simplify 1/4 into 1/4 131.391 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 131.391 * [taylor]: Taking taylor expansion of (pow J 2) in K 131.391 * [taylor]: Taking taylor expansion of J in K 131.391 * [backup-simplify]: Simplify J into J 131.391 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 131.391 * [taylor]: Taking taylor expansion of (pow U 2) in K 131.391 * [taylor]: Taking taylor expansion of U in K 131.391 * [backup-simplify]: Simplify U into U 131.391 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 131.391 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 131.391 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 131.391 * [taylor]: Taking taylor expansion of 1/2 in K 131.391 * [backup-simplify]: Simplify 1/2 into 1/2 131.391 * [taylor]: Taking taylor expansion of K in K 131.391 * [backup-simplify]: Simplify 0 into 0 131.391 * [backup-simplify]: Simplify 1 into 1 131.392 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 131.392 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 131.392 * [backup-simplify]: Simplify (* J J) into (pow J 2) 131.392 * [backup-simplify]: Simplify (* U U) into (pow U 2) 131.392 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 131.392 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 131.392 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 131.392 * [taylor]: Taking taylor expansion of 1 in K 131.392 * [backup-simplify]: Simplify 1 into 1 131.392 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 131.393 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 131.393 * [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)) 131.393 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 131.393 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 131.393 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 131.393 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 131.393 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 131.394 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 131.394 * [backup-simplify]: Simplify (+ 0 0) into 0 131.394 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 131.394 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 131.394 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 131.394 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 131.394 * [taylor]: Taking taylor expansion of 1/4 in U 131.394 * [backup-simplify]: Simplify 1/4 into 1/4 131.394 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 131.394 * [taylor]: Taking taylor expansion of (pow J 2) in U 131.394 * [taylor]: Taking taylor expansion of J in U 131.394 * [backup-simplify]: Simplify J into J 131.394 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 131.394 * [taylor]: Taking taylor expansion of (pow U 2) in U 131.395 * [taylor]: Taking taylor expansion of U in U 131.395 * [backup-simplify]: Simplify 0 into 0 131.395 * [backup-simplify]: Simplify 1 into 1 131.395 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 131.395 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 131.395 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 131.395 * [taylor]: Taking taylor expansion of 1/2 in U 131.395 * [backup-simplify]: Simplify 1/2 into 1/2 131.395 * [taylor]: Taking taylor expansion of K in U 131.395 * [backup-simplify]: Simplify K into K 131.395 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 131.395 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 131.395 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 131.395 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 131.395 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 131.395 * [backup-simplify]: Simplify (- 0) into 0 131.395 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 131.395 * [backup-simplify]: Simplify (* J J) into (pow J 2) 131.395 * [backup-simplify]: Simplify (* 1 1) into 1 131.396 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 131.396 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 131.396 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 131.396 * [taylor]: Taking taylor expansion of 1 in U 131.396 * [backup-simplify]: Simplify 1 into 1 131.396 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 131.396 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 131.396 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 131.396 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 131.396 * [backup-simplify]: Simplify (+ 0) into 0 131.397 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 131.397 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 131.397 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 131.398 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 131.398 * [backup-simplify]: Simplify (- 0) into 0 131.398 * [backup-simplify]: Simplify (+ 0 0) into 0 131.398 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 131.398 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 131.399 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 131.399 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 131.399 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 131.400 * [backup-simplify]: Simplify (+ 0 0) into 0 131.400 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 131.400 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 131.400 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 131.400 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 131.400 * [taylor]: Taking taylor expansion of 1/4 in U 131.400 * [backup-simplify]: Simplify 1/4 into 1/4 131.400 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 131.400 * [taylor]: Taking taylor expansion of (pow J 2) in U 131.400 * [taylor]: Taking taylor expansion of J in U 131.400 * [backup-simplify]: Simplify J into J 131.400 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 131.400 * [taylor]: Taking taylor expansion of (pow U 2) in U 131.400 * [taylor]: Taking taylor expansion of U in U 131.400 * [backup-simplify]: Simplify 0 into 0 131.400 * [backup-simplify]: Simplify 1 into 1 131.400 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 131.400 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 131.400 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 131.400 * [taylor]: Taking taylor expansion of 1/2 in U 131.400 * [backup-simplify]: Simplify 1/2 into 1/2 131.400 * [taylor]: Taking taylor expansion of K in U 131.400 * [backup-simplify]: Simplify K into K 131.400 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 131.400 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 131.400 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 131.400 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 131.400 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 131.401 * [backup-simplify]: Simplify (- 0) into 0 131.401 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 131.401 * [backup-simplify]: Simplify (* J J) into (pow J 2) 131.401 * [backup-simplify]: Simplify (* 1 1) into 1 131.401 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 131.401 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 131.401 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 131.401 * [taylor]: Taking taylor expansion of 1 in U 131.401 * [backup-simplify]: Simplify 1 into 1 131.401 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 131.402 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 131.402 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 131.402 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 131.402 * [backup-simplify]: Simplify (+ 0) into 0 131.402 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 131.402 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 131.403 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 131.403 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 131.403 * [backup-simplify]: Simplify (- 0) into 0 131.404 * [backup-simplify]: Simplify (+ 0 0) into 0 131.404 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 131.404 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 131.404 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 131.405 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 131.405 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 131.405 * [backup-simplify]: Simplify (+ 0 0) into 0 131.405 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 131.406 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K 131.406 * [taylor]: Taking taylor expansion of 1/2 in K 131.406 * [backup-simplify]: Simplify 1/2 into 1/2 131.406 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K 131.406 * [taylor]: Taking taylor expansion of J in K 131.406 * [backup-simplify]: Simplify J into J 131.406 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 131.406 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 131.406 * [taylor]: Taking taylor expansion of 1/2 in K 131.406 * [backup-simplify]: Simplify 1/2 into 1/2 131.406 * [taylor]: Taking taylor expansion of K in K 131.406 * [backup-simplify]: Simplify 0 into 0 131.406 * [backup-simplify]: Simplify 1 into 1 131.406 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 131.406 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 131.406 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 131.406 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 131.406 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 131.406 * [taylor]: Taking taylor expansion of 1/2 in J 131.406 * [backup-simplify]: Simplify 1/2 into 1/2 131.406 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 131.406 * [taylor]: Taking taylor expansion of J in J 131.406 * [backup-simplify]: Simplify 0 into 0 131.406 * [backup-simplify]: Simplify 1 into 1 131.406 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 131.406 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 131.406 * [taylor]: Taking taylor expansion of 1/2 in J 131.406 * [backup-simplify]: Simplify 1/2 into 1/2 131.406 * [taylor]: Taking taylor expansion of K in J 131.406 * [backup-simplify]: Simplify K into K 131.406 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 131.406 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 131.406 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 131.407 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 131.407 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 131.407 * [backup-simplify]: Simplify (- 0) into 0 131.407 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 131.407 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 131.407 * [taylor]: Taking taylor expansion of 0 in K 131.407 * [backup-simplify]: Simplify 0 into 0 131.407 * [taylor]: Taking taylor expansion of 0 in J 131.407 * [backup-simplify]: Simplify 0 into 0 131.407 * [backup-simplify]: Simplify 0 into 0 131.407 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 131.407 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 131.408 * [taylor]: Taking taylor expansion of 0 in J 131.408 * [backup-simplify]: Simplify 0 into 0 131.408 * [backup-simplify]: Simplify 0 into 0 131.408 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 131.408 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 131.408 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 131.409 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 131.410 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 131.410 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 131.411 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 131.411 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 131.412 * [backup-simplify]: Simplify (- 0) into 0 131.412 * [backup-simplify]: Simplify (+ 0 0) into 0 131.412 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 131.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 131.414 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 131.415 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 131.416 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 131.420 * [backup-simplify]: Simplify (+ 0 1) into 1 131.421 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 131.421 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 131.421 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 131.421 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 131.421 * [taylor]: Taking taylor expansion of 1/2 in K 131.421 * [backup-simplify]: Simplify 1/2 into 1/2 131.421 * [taylor]: Taking taylor expansion of K in K 131.421 * [backup-simplify]: Simplify 0 into 0 131.421 * [backup-simplify]: Simplify 1 into 1 131.422 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 131.422 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 131.422 * [taylor]: Taking taylor expansion of J in K 131.422 * [backup-simplify]: Simplify J into J 131.422 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 131.422 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 131.422 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 131.422 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 131.422 * [taylor]: Taking taylor expansion of 1/2 in J 131.422 * [backup-simplify]: Simplify 1/2 into 1/2 131.422 * [taylor]: Taking taylor expansion of K in J 131.422 * [backup-simplify]: Simplify K into K 131.422 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 131.422 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 131.422 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 131.422 * [taylor]: Taking taylor expansion of J in J 131.422 * [backup-simplify]: Simplify 0 into 0 131.422 * [backup-simplify]: Simplify 1 into 1 131.422 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 131.422 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 131.423 * [backup-simplify]: Simplify (- 0) into 0 131.423 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 131.423 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 131.423 * [backup-simplify]: Simplify (+ 0) into 0 131.424 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 131.424 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 131.425 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 131.425 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 131.426 * [backup-simplify]: Simplify (- 0) into 0 131.426 * [backup-simplify]: Simplify (+ 0 0) into 0 131.427 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 131.427 * [backup-simplify]: Simplify 0 into 0 131.427 * [taylor]: Taking taylor expansion of 0 in J 131.427 * [backup-simplify]: Simplify 0 into 0 131.427 * [backup-simplify]: Simplify 0 into 0 131.428 * [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 0 131.428 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 131.428 * [taylor]: Taking taylor expansion of 0 in J 131.428 * [backup-simplify]: Simplify 0 into 0 131.429 * [backup-simplify]: Simplify 0 into 0 131.429 * [backup-simplify]: Simplify 0 into 0 131.429 * [backup-simplify]: Simplify 0 into 0 131.429 * [backup-simplify]: Simplify (+ 0) into 0 131.429 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 131.430 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 131.430 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 131.431 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 131.431 * [backup-simplify]: Simplify (- 0) into 0 131.432 * [backup-simplify]: Simplify (+ 0 0) into 0 131.432 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 131.432 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 131.432 * [backup-simplify]: Simplify 0 into 0 131.433 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 J) (* 1 (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 131.433 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 131.433 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U K J) around 0 131.433 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 131.433 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 131.433 * [taylor]: Taking taylor expansion of 1 in J 131.433 * [backup-simplify]: Simplify 1 into 1 131.433 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 131.434 * [taylor]: Taking taylor expansion of 1/4 in J 131.434 * [backup-simplify]: Simplify 1/4 into 1/4 131.434 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 131.434 * [taylor]: Taking taylor expansion of (pow J 2) in J 131.434 * [taylor]: Taking taylor expansion of J in J 131.434 * [backup-simplify]: Simplify 0 into 0 131.434 * [backup-simplify]: Simplify 1 into 1 131.434 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 131.434 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 131.434 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 131.434 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 131.434 * [taylor]: Taking taylor expansion of -1/2 in J 131.434 * [backup-simplify]: Simplify -1/2 into -1/2 131.434 * [taylor]: Taking taylor expansion of K in J 131.434 * [backup-simplify]: Simplify K into K 131.434 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 131.434 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 131.434 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 131.434 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 131.434 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 131.435 * [backup-simplify]: Simplify (- 0) into 0 131.435 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 131.435 * [taylor]: Taking taylor expansion of (pow U 2) in J 131.435 * [taylor]: Taking taylor expansion of U in J 131.435 * [backup-simplify]: Simplify U into U 131.435 * [backup-simplify]: Simplify (* 1 1) into 1 131.435 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 131.435 * [backup-simplify]: Simplify (* U U) into (pow U 2) 131.436 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 131.436 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 131.436 * [backup-simplify]: Simplify (+ 1 0) into 1 131.437 * [backup-simplify]: Simplify (sqrt 1) into 1 131.437 * [backup-simplify]: Simplify (+ 0 0) into 0 131.438 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 131.438 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 131.438 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 131.438 * [taylor]: Taking taylor expansion of 1 in K 131.438 * [backup-simplify]: Simplify 1 into 1 131.438 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 131.438 * [taylor]: Taking taylor expansion of 1/4 in K 131.438 * [backup-simplify]: Simplify 1/4 into 1/4 131.438 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 131.438 * [taylor]: Taking taylor expansion of (pow J 2) in K 131.438 * [taylor]: Taking taylor expansion of J in K 131.438 * [backup-simplify]: Simplify J into J 131.438 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 131.438 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 131.438 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 131.438 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 131.438 * [taylor]: Taking taylor expansion of -1/2 in K 131.438 * [backup-simplify]: Simplify -1/2 into -1/2 131.438 * [taylor]: Taking taylor expansion of K in K 131.438 * [backup-simplify]: Simplify 0 into 0 131.438 * [backup-simplify]: Simplify 1 into 1 131.439 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 131.439 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 131.439 * [taylor]: Taking taylor expansion of (pow U 2) in K 131.439 * [taylor]: Taking taylor expansion of U in K 131.439 * [backup-simplify]: Simplify U into U 131.439 * [backup-simplify]: Simplify (* J J) into (pow J 2) 131.439 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 131.439 * [backup-simplify]: Simplify (* U U) into (pow U 2) 131.439 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 131.439 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 131.440 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 131.440 * [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))))) 131.440 * [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)))))) 131.440 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 131.440 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 131.440 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 131.441 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 131.441 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 131.441 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 131.442 * [backup-simplify]: Simplify (+ 0 0) into 0 131.442 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 131.442 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 131.442 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 131.442 * [taylor]: Taking taylor expansion of 1 in U 131.442 * [backup-simplify]: Simplify 1 into 1 131.442 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 131.442 * [taylor]: Taking taylor expansion of 1/4 in U 131.442 * [backup-simplify]: Simplify 1/4 into 1/4 131.442 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 131.442 * [taylor]: Taking taylor expansion of (pow J 2) in U 131.442 * [taylor]: Taking taylor expansion of J in U 131.442 * [backup-simplify]: Simplify J into J 131.442 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 131.442 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 131.442 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 131.442 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 131.442 * [taylor]: Taking taylor expansion of -1/2 in U 131.442 * [backup-simplify]: Simplify -1/2 into -1/2 131.442 * [taylor]: Taking taylor expansion of K in U 131.442 * [backup-simplify]: Simplify K into K 131.442 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 131.442 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 131.442 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 131.443 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 131.443 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 131.443 * [backup-simplify]: Simplify (- 0) into 0 131.443 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 131.443 * [taylor]: Taking taylor expansion of (pow U 2) in U 131.443 * [taylor]: Taking taylor expansion of U in U 131.443 * [backup-simplify]: Simplify 0 into 0 131.443 * [backup-simplify]: Simplify 1 into 1 131.443 * [backup-simplify]: Simplify (* J J) into (pow J 2) 131.443 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 131.443 * [backup-simplify]: Simplify (* 1 1) into 1 131.443 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 131.443 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 131.444 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 131.444 * [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))) 131.444 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 131.444 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 131.444 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 131.445 * [backup-simplify]: Simplify (+ 0) into 0 131.445 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 131.445 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 131.445 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 131.446 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 131.446 * [backup-simplify]: Simplify (- 0) into 0 131.446 * [backup-simplify]: Simplify (+ 0 0) into 0 131.446 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 131.447 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 131.447 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 131.447 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 131.448 * [backup-simplify]: Simplify (+ 0 0) into 0 131.448 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 131.448 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 131.448 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 131.448 * [taylor]: Taking taylor expansion of 1 in U 131.448 * [backup-simplify]: Simplify 1 into 1 131.448 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 131.448 * [taylor]: Taking taylor expansion of 1/4 in U 131.448 * [backup-simplify]: Simplify 1/4 into 1/4 131.448 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 131.448 * [taylor]: Taking taylor expansion of (pow J 2) in U 131.448 * [taylor]: Taking taylor expansion of J in U 131.448 * [backup-simplify]: Simplify J into J 131.448 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 131.448 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 131.448 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 131.448 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 131.448 * [taylor]: Taking taylor expansion of -1/2 in U 131.448 * [backup-simplify]: Simplify -1/2 into -1/2 131.448 * [taylor]: Taking taylor expansion of K in U 131.448 * [backup-simplify]: Simplify K into K 131.448 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 131.448 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 131.448 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 131.448 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 131.448 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 131.449 * [backup-simplify]: Simplify (- 0) into 0 131.449 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 131.449 * [taylor]: Taking taylor expansion of (pow U 2) in U 131.449 * [taylor]: Taking taylor expansion of U in U 131.449 * [backup-simplify]: Simplify 0 into 0 131.449 * [backup-simplify]: Simplify 1 into 1 131.449 * [backup-simplify]: Simplify (* J J) into (pow J 2) 131.449 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 131.449 * [backup-simplify]: Simplify (* 1 1) into 1 131.449 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 131.449 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 131.449 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 131.450 * [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))) 131.450 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 131.450 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 131.450 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 131.450 * [backup-simplify]: Simplify (+ 0) into 0 131.451 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 131.451 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 131.452 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 131.452 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 131.452 * [backup-simplify]: Simplify (- 0) into 0 131.452 * [backup-simplify]: Simplify (+ 0 0) into 0 131.452 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 131.453 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 131.453 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 131.453 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 131.454 * [backup-simplify]: Simplify (+ 0 0) into 0 131.454 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 131.454 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K 131.454 * [taylor]: Taking taylor expansion of 1/2 in K 131.454 * [backup-simplify]: Simplify 1/2 into 1/2 131.454 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K 131.454 * [taylor]: Taking taylor expansion of J in K 131.454 * [backup-simplify]: Simplify J into J 131.454 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 131.454 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 131.454 * [taylor]: Taking taylor expansion of -1/2 in K 131.454 * [backup-simplify]: Simplify -1/2 into -1/2 131.454 * [taylor]: Taking taylor expansion of K in K 131.454 * [backup-simplify]: Simplify 0 into 0 131.454 * [backup-simplify]: Simplify 1 into 1 131.454 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 131.454 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 131.454 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 131.454 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 131.454 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 131.454 * [taylor]: Taking taylor expansion of 1/2 in J 131.454 * [backup-simplify]: Simplify 1/2 into 1/2 131.455 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 131.455 * [taylor]: Taking taylor expansion of J in J 131.455 * [backup-simplify]: Simplify 0 into 0 131.455 * [backup-simplify]: Simplify 1 into 1 131.455 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 131.455 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 131.455 * [taylor]: Taking taylor expansion of -1/2 in J 131.455 * [backup-simplify]: Simplify -1/2 into -1/2 131.455 * [taylor]: Taking taylor expansion of K in J 131.455 * [backup-simplify]: Simplify K into K 131.455 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 131.455 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 131.455 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 131.455 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 131.455 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 131.455 * [backup-simplify]: Simplify (- 0) into 0 131.455 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 131.455 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 131.455 * [taylor]: Taking taylor expansion of 0 in K 131.455 * [backup-simplify]: Simplify 0 into 0 131.455 * [taylor]: Taking taylor expansion of 0 in J 131.455 * [backup-simplify]: Simplify 0 into 0 131.455 * [backup-simplify]: Simplify 0 into 0 131.455 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 131.456 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 131.456 * [taylor]: Taking taylor expansion of 0 in J 131.456 * [backup-simplify]: Simplify 0 into 0 131.456 * [backup-simplify]: Simplify 0 into 0 131.456 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 131.456 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 131.456 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 131.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 131.457 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 131.458 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 131.458 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 131.458 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 131.459 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 131.459 * [backup-simplify]: Simplify (- 0) into 0 131.459 * [backup-simplify]: Simplify (+ 0 0) into 0 131.460 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 131.460 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 131.460 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 131.461 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 131.461 * [backup-simplify]: Simplify (+ 1 0) into 1 131.462 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 131.462 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 131.462 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 131.462 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 131.462 * [taylor]: Taking taylor expansion of -1/2 in K 131.462 * [backup-simplify]: Simplify -1/2 into -1/2 131.462 * [taylor]: Taking taylor expansion of K in K 131.462 * [backup-simplify]: Simplify 0 into 0 131.462 * [backup-simplify]: Simplify 1 into 1 131.462 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 131.462 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 131.462 * [taylor]: Taking taylor expansion of J in K 131.462 * [backup-simplify]: Simplify J into J 131.462 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 131.462 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 131.462 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 131.462 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 131.462 * [taylor]: Taking taylor expansion of -1/2 in J 131.462 * [backup-simplify]: Simplify -1/2 into -1/2 131.462 * [taylor]: Taking taylor expansion of K in J 131.462 * [backup-simplify]: Simplify K into K 131.462 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 131.462 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 131.462 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 131.462 * [taylor]: Taking taylor expansion of J in J 131.462 * [backup-simplify]: Simplify 0 into 0 131.462 * [backup-simplify]: Simplify 1 into 1 131.462 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 131.463 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 131.463 * [backup-simplify]: Simplify (- 0) into 0 131.463 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 131.463 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 131.463 * [backup-simplify]: Simplify (+ 0) into 0 131.463 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 131.464 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 131.464 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 131.464 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 131.464 * [backup-simplify]: Simplify (- 0) into 0 131.465 * [backup-simplify]: Simplify (+ 0 0) into 0 131.465 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 131.465 * [backup-simplify]: Simplify 0 into 0 131.466 * [taylor]: Taking taylor expansion of 0 in J 131.466 * [backup-simplify]: Simplify 0 into 0 131.466 * [backup-simplify]: Simplify 0 into 0 131.466 * [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 0 131.466 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 131.466 * [taylor]: Taking taylor expansion of 0 in J 131.466 * [backup-simplify]: Simplify 0 into 0 131.466 * [backup-simplify]: Simplify 0 into 0 131.466 * [backup-simplify]: Simplify 0 into 0 131.466 * [backup-simplify]: Simplify 0 into 0 131.467 * [backup-simplify]: Simplify (+ 0) into 0 131.467 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 131.467 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 131.467 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 131.468 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 131.468 * [backup-simplify]: Simplify (- 0) into 0 131.468 * [backup-simplify]: Simplify (+ 0 0) into 0 131.469 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 131.469 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 131.469 * [backup-simplify]: Simplify 0 into 0 131.470 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 131.470 * * * * [progress]: [ 2 / 4 ] generating series at (2) 131.470 * [backup-simplify]: Simplify (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))) into (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) 131.470 * [approximate]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in (U K J) around 0 131.470 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J 131.471 * [taylor]: Taking taylor expansion of -2 in J 131.471 * [backup-simplify]: Simplify -2 into -2 131.471 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J 131.471 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 131.471 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 131.471 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 131.471 * [taylor]: Taking taylor expansion of 1/2 in J 131.471 * [backup-simplify]: Simplify 1/2 into 1/2 131.471 * [taylor]: Taking taylor expansion of K in J 131.471 * [backup-simplify]: Simplify K into K 131.471 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 131.471 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 131.471 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 131.471 * [taylor]: Taking taylor expansion of J in J 131.471 * [backup-simplify]: Simplify 0 into 0 131.471 * [backup-simplify]: Simplify 1 into 1 131.471 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 131.471 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 131.471 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 131.471 * [taylor]: Taking taylor expansion of 1/4 in J 131.471 * [backup-simplify]: Simplify 1/4 into 1/4 131.471 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 131.471 * [taylor]: Taking taylor expansion of (pow U 2) in J 131.471 * [taylor]: Taking taylor expansion of U in J 131.471 * [backup-simplify]: Simplify U into U 131.471 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 131.471 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 131.471 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 131.471 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 131.471 * [taylor]: Taking taylor expansion of 1/2 in J 131.471 * [backup-simplify]: Simplify 1/2 into 1/2 131.471 * [taylor]: Taking taylor expansion of K in J 131.471 * [backup-simplify]: Simplify K into K 131.472 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 131.472 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 131.472 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 131.472 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 131.472 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 131.472 * [backup-simplify]: Simplify (- 0) into 0 131.472 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 131.472 * [taylor]: Taking taylor expansion of (pow J 2) in J 131.472 * [taylor]: Taking taylor expansion of J in J 131.472 * [backup-simplify]: Simplify 0 into 0 131.472 * [backup-simplify]: Simplify 1 into 1 131.473 * [backup-simplify]: Simplify (* U U) into (pow U 2) 131.473 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 131.473 * [backup-simplify]: Simplify (* 1 1) into 1 131.473 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 131.473 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 131.473 * [taylor]: Taking taylor expansion of 1 in J 131.473 * [backup-simplify]: Simplify 1 into 1 131.474 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 131.474 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 131.474 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 131.474 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 131.475 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 131.475 * [backup-simplify]: Simplify (+ 0) into 0 131.476 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 131.476 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 131.477 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 131.477 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 131.478 * [backup-simplify]: Simplify (- 0) into 0 131.478 * [backup-simplify]: Simplify (+ 0 0) into 0 131.478 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 131.479 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 131.479 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 131.480 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 131.480 * [backup-simplify]: Simplify (+ 0 0) into 0 131.480 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 131.480 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in K 131.481 * [taylor]: Taking taylor expansion of -2 in K 131.481 * [backup-simplify]: Simplify -2 into -2 131.481 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in K 131.481 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 131.481 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 131.481 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 131.481 * [taylor]: Taking taylor expansion of 1/2 in K 131.481 * [backup-simplify]: Simplify 1/2 into 1/2 131.481 * [taylor]: Taking taylor expansion of K in K 131.481 * [backup-simplify]: Simplify 0 into 0 131.481 * [backup-simplify]: Simplify 1 into 1 131.481 * [backup-simplify]: Simplify (* 1/2 0) into 0 131.482 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 131.482 * [taylor]: Taking taylor expansion of J in K 131.482 * [backup-simplify]: Simplify J into J 131.482 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 131.482 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 131.482 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 131.482 * [taylor]: Taking taylor expansion of 1/4 in K 131.482 * [backup-simplify]: Simplify 1/4 into 1/4 131.482 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 131.482 * [taylor]: Taking taylor expansion of (pow U 2) in K 131.482 * [taylor]: Taking taylor expansion of U in K 131.482 * [backup-simplify]: Simplify U into U 131.482 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 131.482 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 131.482 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 131.482 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 131.482 * [taylor]: Taking taylor expansion of 1/2 in K 131.482 * [backup-simplify]: Simplify 1/2 into 1/2 131.482 * [taylor]: Taking taylor expansion of K in K 131.482 * [backup-simplify]: Simplify 0 into 0 131.482 * [backup-simplify]: Simplify 1 into 1 131.483 * [backup-simplify]: Simplify (* 1/2 0) into 0 131.484 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 131.484 * [taylor]: Taking taylor expansion of (pow J 2) in K 131.484 * [taylor]: Taking taylor expansion of J in K 131.484 * [backup-simplify]: Simplify J into J 131.484 * [backup-simplify]: Simplify (* U U) into (pow U 2) 131.484 * [backup-simplify]: Simplify (* 1 1) into 1 131.484 * [backup-simplify]: Simplify (* J J) into (pow J 2) 131.484 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 131.484 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 131.484 * [taylor]: Taking taylor expansion of 1 in K 131.484 * [backup-simplify]: Simplify 1 into 1 131.485 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 131.485 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 131.485 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 131.485 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 131.485 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 131.486 * [backup-simplify]: Simplify (+ 0) into 0 131.486 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 131.487 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 131.487 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 131.488 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 131.488 * [backup-simplify]: Simplify (+ 0 0) into 0 131.488 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 131.488 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 131.488 * [taylor]: Taking taylor expansion of -2 in U 131.488 * [backup-simplify]: Simplify -2 into -2 131.488 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 131.488 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 131.488 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 131.488 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 131.489 * [taylor]: Taking taylor expansion of 1/2 in U 131.489 * [backup-simplify]: Simplify 1/2 into 1/2 131.489 * [taylor]: Taking taylor expansion of K in U 131.489 * [backup-simplify]: Simplify K into K 131.489 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 131.489 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 131.489 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 131.489 * [taylor]: Taking taylor expansion of J in U 131.489 * [backup-simplify]: Simplify J into J 131.489 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 131.489 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 131.489 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 131.489 * [taylor]: Taking taylor expansion of 1/4 in U 131.489 * [backup-simplify]: Simplify 1/4 into 1/4 131.489 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 131.489 * [taylor]: Taking taylor expansion of (pow U 2) in U 131.489 * [taylor]: Taking taylor expansion of U in U 131.489 * [backup-simplify]: Simplify 0 into 0 131.489 * [backup-simplify]: Simplify 1 into 1 131.489 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 131.489 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 131.489 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 131.489 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 131.489 * [taylor]: Taking taylor expansion of 1/2 in U 131.489 * [backup-simplify]: Simplify 1/2 into 1/2 131.489 * [taylor]: Taking taylor expansion of K in U 131.489 * [backup-simplify]: Simplify K into K 131.489 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 131.489 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 131.489 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 131.490 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 131.490 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 131.490 * [backup-simplify]: Simplify (- 0) into 0 131.490 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 131.490 * [taylor]: Taking taylor expansion of (pow J 2) in U 131.490 * [taylor]: Taking taylor expansion of J in U 131.490 * [backup-simplify]: Simplify J into J 131.491 * [backup-simplify]: Simplify (* 1 1) into 1 131.491 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 131.491 * [backup-simplify]: Simplify (* J J) into (pow J 2) 131.491 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 131.491 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 131.491 * [taylor]: Taking taylor expansion of 1 in U 131.491 * [backup-simplify]: Simplify 1 into 1 131.492 * [backup-simplify]: Simplify (+ 0 1) into 1 131.492 * [backup-simplify]: Simplify (sqrt 1) into 1 131.492 * [backup-simplify]: Simplify (+ 0 0) into 0 131.493 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 131.493 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 131.493 * [taylor]: Taking taylor expansion of -2 in U 131.493 * [backup-simplify]: Simplify -2 into -2 131.493 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 131.493 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 131.493 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 131.493 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 131.493 * [taylor]: Taking taylor expansion of 1/2 in U 131.493 * [backup-simplify]: Simplify 1/2 into 1/2 131.493 * [taylor]: Taking taylor expansion of K in U 131.493 * [backup-simplify]: Simplify K into K 131.493 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 131.493 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 131.494 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 131.494 * [taylor]: Taking taylor expansion of J in U 131.494 * [backup-simplify]: Simplify J into J 131.494 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 131.494 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 131.494 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 131.494 * [taylor]: Taking taylor expansion of 1/4 in U 131.494 * [backup-simplify]: Simplify 1/4 into 1/4 131.494 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 131.494 * [taylor]: Taking taylor expansion of (pow U 2) in U 131.494 * [taylor]: Taking taylor expansion of U in U 131.494 * [backup-simplify]: Simplify 0 into 0 131.494 * [backup-simplify]: Simplify 1 into 1 131.494 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 131.494 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 131.494 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 131.494 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 131.494 * [taylor]: Taking taylor expansion of 1/2 in U 131.494 * [backup-simplify]: Simplify 1/2 into 1/2 131.494 * [taylor]: Taking taylor expansion of K in U 131.494 * [backup-simplify]: Simplify K into K 131.494 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 131.494 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 131.494 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 131.494 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 131.494 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 131.495 * [backup-simplify]: Simplify (- 0) into 0 131.495 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 131.495 * [taylor]: Taking taylor expansion of (pow J 2) in U 131.495 * [taylor]: Taking taylor expansion of J in U 131.495 * [backup-simplify]: Simplify J into J 131.495 * [backup-simplify]: Simplify (* 1 1) into 1 131.495 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 131.496 * [backup-simplify]: Simplify (* J J) into (pow J 2) 131.496 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 131.496 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 131.496 * [taylor]: Taking taylor expansion of 1 in U 131.496 * [backup-simplify]: Simplify 1 into 1 131.496 * [backup-simplify]: Simplify (+ 0 1) into 1 131.497 * [backup-simplify]: Simplify (sqrt 1) into 1 131.497 * [backup-simplify]: Simplify (+ 0 0) into 0 131.498 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 131.498 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 131.498 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 131.498 * [backup-simplify]: Simplify (- 0) into 0 131.498 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 131.498 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 131.499 * [backup-simplify]: Simplify (* (* (cos (* 1/2 K)) J) 1) into (* (cos (* 1/2 K)) J) 131.499 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J)) 131.499 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in K 131.499 * [taylor]: Taking taylor expansion of -2 in K 131.499 * [backup-simplify]: Simplify -2 into -2 131.499 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 131.499 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 131.499 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 131.499 * [taylor]: Taking taylor expansion of 1/2 in K 131.499 * [backup-simplify]: Simplify 1/2 into 1/2 131.499 * [taylor]: Taking taylor expansion of K in K 131.499 * [backup-simplify]: Simplify 0 into 0 131.499 * [backup-simplify]: Simplify 1 into 1 131.499 * [backup-simplify]: Simplify (* 1/2 0) into 0 131.500 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 131.500 * [taylor]: Taking taylor expansion of J in K 131.500 * [backup-simplify]: Simplify J into J 131.500 * [backup-simplify]: Simplify (* 1 J) into J 131.500 * [backup-simplify]: Simplify (* -2 J) into (* -2 J) 131.500 * [taylor]: Taking taylor expansion of (* -2 J) in J 131.500 * [taylor]: Taking taylor expansion of -2 in J 131.500 * [backup-simplify]: Simplify -2 into -2 131.500 * [taylor]: Taking taylor expansion of J in J 131.500 * [backup-simplify]: Simplify 0 into 0 131.500 * [backup-simplify]: Simplify 1 into 1 131.501 * [backup-simplify]: Simplify (+ 0) into 0 131.501 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 131.501 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 131.502 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 131.502 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 131.502 * [backup-simplify]: Simplify (- 0) into 0 131.502 * [backup-simplify]: Simplify (+ 0 0) into 0 131.502 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 131.503 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (* 0 1)) into 0 131.503 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0 131.503 * [taylor]: Taking taylor expansion of 0 in K 131.503 * [backup-simplify]: Simplify 0 into 0 131.503 * [taylor]: Taking taylor expansion of 0 in J 131.503 * [backup-simplify]: Simplify 0 into 0 131.503 * [backup-simplify]: Simplify (+ 0) into 0 131.504 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 131.504 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 J)) into 0 131.504 * [taylor]: Taking taylor expansion of 0 in J 131.504 * [backup-simplify]: Simplify 0 into 0 131.504 * [backup-simplify]: Simplify (* -2 0) into 0 131.504 * [backup-simplify]: Simplify 0 into 0 131.504 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 131.505 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 131.505 * [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))) 131.506 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 131.506 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 131.507 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 131.507 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 131.508 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 131.508 * [backup-simplify]: Simplify (- 0) into 0 131.508 * [backup-simplify]: Simplify (+ 0 0) into 0 131.508 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0 131.509 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 1))) into (* 1/8 (/ 1 (* (cos (* 1/2 K)) J))) 131.509 * [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)))) 131.509 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in K 131.509 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in K 131.509 * [taylor]: Taking taylor expansion of 1/4 in K 131.509 * [backup-simplify]: Simplify 1/4 into 1/4 131.509 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in K 131.509 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 131.509 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 131.509 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 131.509 * [taylor]: Taking taylor expansion of 1/2 in K 131.510 * [backup-simplify]: Simplify 1/2 into 1/2 131.510 * [taylor]: Taking taylor expansion of K in K 131.510 * [backup-simplify]: Simplify 0 into 0 131.510 * [backup-simplify]: Simplify 1 into 1 131.510 * [backup-simplify]: Simplify (* 1/2 0) into 0 131.510 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 131.510 * [taylor]: Taking taylor expansion of J in K 131.510 * [backup-simplify]: Simplify J into J 131.510 * [backup-simplify]: Simplify (* 1 J) into J 131.510 * [backup-simplify]: Simplify (/ 1 J) into (/ 1 J) 131.510 * [backup-simplify]: Simplify (* 1/4 (/ 1 J)) into (/ 1/4 J) 131.510 * [backup-simplify]: Simplify (- (/ 1/4 J)) into (- (* 1/4 (/ 1 J))) 131.510 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 J))) in J 131.510 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 J)) in J 131.510 * [taylor]: Taking taylor expansion of 1/4 in J 131.510 * [backup-simplify]: Simplify 1/4 into 1/4 131.511 * [taylor]: Taking taylor expansion of (/ 1 J) in J 131.511 * [taylor]: Taking taylor expansion of J in J 131.511 * [backup-simplify]: Simplify 0 into 0 131.511 * [backup-simplify]: Simplify 1 into 1 131.511 * [backup-simplify]: Simplify (/ 1 1) into 1 131.511 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 131.511 * [backup-simplify]: Simplify (- 1/4) into -1/4 131.511 * [backup-simplify]: Simplify -1/4 into -1/4 131.511 * [taylor]: Taking taylor expansion of 0 in J 131.511 * [backup-simplify]: Simplify 0 into 0 131.512 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 131.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J)) 131.513 * [backup-simplify]: Simplify (+ (* -2 (- (* 1/8 J))) (+ (* 0 0) (* 0 J))) into (* 1/4 J) 131.513 * [taylor]: Taking taylor expansion of (* 1/4 J) in J 131.513 * [taylor]: Taking taylor expansion of 1/4 in J 131.513 * [backup-simplify]: Simplify 1/4 into 1/4 131.513 * [taylor]: Taking taylor expansion of J in J 131.513 * [backup-simplify]: Simplify 0 into 0 131.513 * [backup-simplify]: Simplify 1 into 1 131.513 * [backup-simplify]: Simplify 0 into 0 131.513 * [backup-simplify]: Simplify 0 into 0 131.513 * [backup-simplify]: Simplify (+ (* -2 1) (* 0 0)) into -2 131.513 * [backup-simplify]: Simplify -2 into -2 131.514 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 131.514 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 131.514 * [backup-simplify]: Simplify (+ 0) into 0 131.514 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 131.515 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 131.515 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 131.516 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 131.516 * [backup-simplify]: Simplify (- 0) into 0 131.516 * [backup-simplify]: Simplify (+ 0 0) into 0 131.516 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 131.516 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 131.516 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 131.517 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 131.517 * [backup-simplify]: Simplify (+ 0 0) into 0 131.518 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 131.518 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 131.518 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 131.519 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 131.520 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 131.520 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 131.521 * [backup-simplify]: Simplify (- 0) into 0 131.521 * [backup-simplify]: Simplify (+ 0 0) into 0 131.522 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 131.522 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (+ (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 1)))) into 0 131.523 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0 131.523 * [taylor]: Taking taylor expansion of 0 in K 131.523 * [backup-simplify]: Simplify 0 into 0 131.523 * [taylor]: Taking taylor expansion of 0 in J 131.523 * [backup-simplify]: Simplify 0 into 0 131.523 * [backup-simplify]: Simplify (+ 0) into 0 131.523 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 131.523 * [backup-simplify]: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 131.524 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 J))) into 0 131.524 * [backup-simplify]: Simplify (- 0) into 0 131.524 * [taylor]: Taking taylor expansion of 0 in J 131.524 * [backup-simplify]: Simplify 0 into 0 131.524 * [taylor]: Taking taylor expansion of 0 in J 131.524 * [backup-simplify]: Simplify 0 into 0 131.525 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 131.525 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 131.526 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0 131.527 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (- (* 1/8 J))) (+ (* 0 0) (* 0 J)))) into 0 131.527 * [taylor]: Taking taylor expansion of 0 in J 131.527 * [backup-simplify]: Simplify 0 into 0 131.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 131.527 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 131.528 * [backup-simplify]: Simplify (- 0) into 0 131.528 * [backup-simplify]: Simplify 0 into 0 131.528 * [backup-simplify]: Simplify 0 into 0 131.528 * [backup-simplify]: Simplify (* 1/4 0) into 0 131.528 * [backup-simplify]: Simplify 0 into 0 131.528 * [backup-simplify]: Simplify 0 into 0 131.528 * [backup-simplify]: Simplify 0 into 0 131.529 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0 131.529 * [backup-simplify]: Simplify 0 into 0 131.529 * [backup-simplify]: Simplify (+ (* -2 (* J (* 1 1))) (* -1/4 (* (/ 1 J) (* 1 (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 131.530 * [backup-simplify]: Simplify (* (* (sqrt (+ (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) 1)) -2) (* (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2)))) (* (cbrt (cos (/ (/ 1 K) 2))) (/ 1 J)))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) 131.530 * [approximate]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in (U K J) around 0 131.530 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in J 131.530 * [taylor]: Taking taylor expansion of -2 in J 131.530 * [backup-simplify]: Simplify -2 into -2 131.530 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in J 131.530 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 131.530 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 131.530 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 131.530 * [taylor]: Taking taylor expansion of 1/4 in J 131.530 * [backup-simplify]: Simplify 1/4 into 1/4 131.530 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 131.530 * [taylor]: Taking taylor expansion of (pow J 2) in J 131.530 * [taylor]: Taking taylor expansion of J in J 131.530 * [backup-simplify]: Simplify 0 into 0 131.530 * [backup-simplify]: Simplify 1 into 1 131.530 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 131.530 * [taylor]: Taking taylor expansion of (pow U 2) in J 131.530 * [taylor]: Taking taylor expansion of U in J 131.530 * [backup-simplify]: Simplify U into U 131.530 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 131.530 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 131.530 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 131.530 * [taylor]: Taking taylor expansion of 1/2 in J 131.530 * [backup-simplify]: Simplify 1/2 into 1/2 131.530 * [taylor]: Taking taylor expansion of K in J 131.530 * [backup-simplify]: Simplify K into K 131.530 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 131.530 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 131.530 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 131.530 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 131.530 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 131.533 * [backup-simplify]: Simplify (- 0) into 0 131.534 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 131.534 * [backup-simplify]: Simplify (* 1 1) into 1 131.534 * [backup-simplify]: Simplify (* U U) into (pow U 2) 131.534 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 131.535 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 131.535 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 131.535 * [taylor]: Taking taylor expansion of 1 in J 131.535 * [backup-simplify]: Simplify 1 into 1 131.535 * [backup-simplify]: Simplify (+ 0 1) into 1 131.536 * [backup-simplify]: Simplify (sqrt 1) into 1 131.536 * [backup-simplify]: Simplify (+ 0 0) into 0 131.537 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 131.537 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 131.537 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 131.537 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 131.537 * [taylor]: Taking taylor expansion of 1/2 in J 131.537 * [backup-simplify]: Simplify 1/2 into 1/2 131.537 * [taylor]: Taking taylor expansion of K in J 131.537 * [backup-simplify]: Simplify K into K 131.537 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 131.537 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 131.537 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 131.537 * [taylor]: Taking taylor expansion of J in J 131.537 * [backup-simplify]: Simplify 0 into 0 131.537 * [backup-simplify]: Simplify 1 into 1 131.537 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 131.537 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 131.538 * [backup-simplify]: Simplify (- 0) into 0 131.538 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 131.538 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 131.538 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in K 131.538 * [taylor]: Taking taylor expansion of -2 in K 131.538 * [backup-simplify]: Simplify -2 into -2 131.538 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in K 131.538 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 131.538 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 131.538 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 131.538 * [taylor]: Taking taylor expansion of 1/4 in K 131.538 * [backup-simplify]: Simplify 1/4 into 1/4 131.538 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 131.538 * [taylor]: Taking taylor expansion of (pow J 2) in K 131.538 * [taylor]: Taking taylor expansion of J in K 131.538 * [backup-simplify]: Simplify J into J 131.538 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 131.538 * [taylor]: Taking taylor expansion of (pow U 2) in K 131.538 * [taylor]: Taking taylor expansion of U in K 131.538 * [backup-simplify]: Simplify U into U 131.538 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 131.538 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 131.538 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 131.538 * [taylor]: Taking taylor expansion of 1/2 in K 131.539 * [backup-simplify]: Simplify 1/2 into 1/2 131.539 * [taylor]: Taking taylor expansion of K in K 131.539 * [backup-simplify]: Simplify 0 into 0 131.539 * [backup-simplify]: Simplify 1 into 1 131.539 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 131.539 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 131.539 * [backup-simplify]: Simplify (* J J) into (pow J 2) 131.539 * [backup-simplify]: Simplify (* U U) into (pow U 2) 131.539 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 131.539 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 131.540 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 131.540 * [taylor]: Taking taylor expansion of 1 in K 131.540 * [backup-simplify]: Simplify 1 into 1 131.540 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 131.540 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 131.541 * [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)) 131.541 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 131.541 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 131.541 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 131.541 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 131.542 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 131.543 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 131.543 * [backup-simplify]: Simplify (+ 0 0) into 0 131.543 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 131.543 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 131.543 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 131.543 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 131.543 * [taylor]: Taking taylor expansion of 1/2 in K 131.543 * [backup-simplify]: Simplify 1/2 into 1/2 131.544 * [taylor]: Taking taylor expansion of K in K 131.544 * [backup-simplify]: Simplify 0 into 0 131.544 * [backup-simplify]: Simplify 1 into 1 131.544 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 131.544 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 131.544 * [taylor]: Taking taylor expansion of J in K 131.544 * [backup-simplify]: Simplify J into J 131.544 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 131.544 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in U 131.544 * [taylor]: Taking taylor expansion of -2 in U 131.544 * [backup-simplify]: Simplify -2 into -2 131.544 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in U 131.544 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 131.544 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 131.544 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 131.544 * [taylor]: Taking taylor expansion of 1/4 in U 131.544 * [backup-simplify]: Simplify 1/4 into 1/4 131.545 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 131.545 * [taylor]: Taking taylor expansion of (pow J 2) in U 131.545 * [taylor]: Taking taylor expansion of J in U 131.545 * [backup-simplify]: Simplify J into J 131.545 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 131.545 * [taylor]: Taking taylor expansion of (pow U 2) in U 131.545 * [taylor]: Taking taylor expansion of U in U 131.545 * [backup-simplify]: Simplify 0 into 0 131.545 * [backup-simplify]: Simplify 1 into 1 131.545 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 131.545 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 131.545 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 131.545 * [taylor]: Taking taylor expansion of 1/2 in U 131.545 * [backup-simplify]: Simplify 1/2 into 1/2 131.545 * [taylor]: Taking taylor expansion of K in U 131.545 * [backup-simplify]: Simplify K into K 131.545 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 131.545 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 131.545 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 131.545 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 131.545 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 131.546 * [backup-simplify]: Simplify (- 0) into 0 131.546 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 131.546 * [backup-simplify]: Simplify (* J J) into (pow J 2) 131.546 * [backup-simplify]: Simplify (* 1 1) into 1 131.546 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 131.546 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 131.547 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 131.547 * [taylor]: Taking taylor expansion of 1 in U 131.547 * [backup-simplify]: Simplify 1 into 1 131.547 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 131.547 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 131.547 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 131.547 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 131.548 * [backup-simplify]: Simplify (+ 0) into 0 131.548 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 131.549 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 131.549 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 131.550 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 131.550 * [backup-simplify]: Simplify (- 0) into 0 131.551 * [backup-simplify]: Simplify (+ 0 0) into 0 131.551 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 131.551 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 131.552 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 131.552 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 131.553 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 131.553 * [backup-simplify]: Simplify (+ 0 0) into 0 131.554 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 131.554 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 131.554 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 131.554 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 131.554 * [taylor]: Taking taylor expansion of 1/2 in U 131.554 * [backup-simplify]: Simplify 1/2 into 1/2 131.554 * [taylor]: Taking taylor expansion of K in U 131.554 * [backup-simplify]: Simplify K into K 131.554 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 131.554 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 131.554 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 131.554 * [taylor]: Taking taylor expansion of J in U 131.554 * [backup-simplify]: Simplify J into J 131.554 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 131.554 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 131.555 * [backup-simplify]: Simplify (- 0) into 0 131.555 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 131.555 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 131.555 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in U 131.555 * [taylor]: Taking taylor expansion of -2 in U 131.555 * [backup-simplify]: Simplify -2 into -2 131.555 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in U 131.555 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 131.555 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 131.555 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 131.555 * [taylor]: Taking taylor expansion of 1/4 in U 131.555 * [backup-simplify]: Simplify 1/4 into 1/4 131.555 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 131.555 * [taylor]: Taking taylor expansion of (pow J 2) in U 131.555 * [taylor]: Taking taylor expansion of J in U 131.555 * [backup-simplify]: Simplify J into J 131.555 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 131.555 * [taylor]: Taking taylor expansion of (pow U 2) in U 131.555 * [taylor]: Taking taylor expansion of U in U 131.555 * [backup-simplify]: Simplify 0 into 0 131.555 * [backup-simplify]: Simplify 1 into 1 131.555 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 131.555 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 131.555 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 131.555 * [taylor]: Taking taylor expansion of 1/2 in U 131.555 * [backup-simplify]: Simplify 1/2 into 1/2 131.555 * [taylor]: Taking taylor expansion of K in U 131.555 * [backup-simplify]: Simplify K into K 131.556 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 131.556 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 131.556 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 131.556 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 131.556 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 131.556 * [backup-simplify]: Simplify (- 0) into 0 131.556 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 131.556 * [backup-simplify]: Simplify (* J J) into (pow J 2) 131.557 * [backup-simplify]: Simplify (* 1 1) into 1 131.557 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 131.557 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 131.557 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 131.557 * [taylor]: Taking taylor expansion of 1 in U 131.557 * [backup-simplify]: Simplify 1 into 1 131.557 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 131.558 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 131.558 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 131.558 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 131.558 * [backup-simplify]: Simplify (+ 0) into 0 131.559 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 131.559 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 131.560 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 131.560 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 131.561 * [backup-simplify]: Simplify (- 0) into 0 131.561 * [backup-simplify]: Simplify (+ 0 0) into 0 131.561 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 131.562 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 131.562 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 131.563 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 131.563 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 131.564 * [backup-simplify]: Simplify (+ 0 0) into 0 131.564 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 131.564 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 131.564 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 131.564 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 131.564 * [taylor]: Taking taylor expansion of 1/2 in U 131.564 * [backup-simplify]: Simplify 1/2 into 1/2 131.564 * [taylor]: Taking taylor expansion of K in U 131.564 * [backup-simplify]: Simplify K into K 131.564 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 131.564 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 131.564 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 131.564 * [taylor]: Taking taylor expansion of J in U 131.564 * [backup-simplify]: Simplify J into J 131.564 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 131.564 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 131.565 * [backup-simplify]: Simplify (- 0) into 0 131.565 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 131.565 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 131.565 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ (cos (/ 1/2 K)) J)) into 1/2 131.566 * [backup-simplify]: Simplify (* -2 1/2) into -1 131.566 * [taylor]: Taking taylor expansion of -1 in K 131.566 * [backup-simplify]: Simplify -1 into -1 131.566 * [taylor]: Taking taylor expansion of -1 in J 131.566 * [backup-simplify]: Simplify -1 into -1 131.566 * [backup-simplify]: Simplify (+ 0) into 0 131.567 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 131.567 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 131.568 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 131.568 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 131.569 * [backup-simplify]: Simplify (- 0) into 0 131.569 * [backup-simplify]: Simplify (+ 0 0) into 0 131.569 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 131.569 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (/ (cos (/ 1/2 K)) J))) into 0 131.570 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0 131.570 * [taylor]: Taking taylor expansion of 0 in K 131.570 * [backup-simplify]: Simplify 0 into 0 131.570 * [taylor]: Taking taylor expansion of 0 in J 131.570 * [backup-simplify]: Simplify 0 into 0 131.570 * [taylor]: Taking taylor expansion of 0 in J 131.570 * [backup-simplify]: Simplify 0 into 0 131.570 * [backup-simplify]: Simplify -1 into -1 131.571 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 131.572 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 131.572 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 131.573 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 131.573 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 131.574 * [backup-simplify]: Simplify (- 0) into 0 131.574 * [backup-simplify]: Simplify (+ 0 0) into 0 131.574 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 131.575 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 131.576 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 131.576 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 131.576 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 131.577 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 131.578 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 131.578 * [backup-simplify]: Simplify (- 0) into 0 131.579 * [backup-simplify]: Simplify (+ 0 0) into 0 131.579 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 131.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 131.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 131.582 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 131.583 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 131.583 * [backup-simplify]: Simplify (+ 0 1) into 1 131.584 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 131.585 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* (/ (cos (/ 1/2 K)) J) (/ (cos (/ 1/2 K)) J)))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 131.586 * [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)))) 131.586 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in K 131.586 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in K 131.586 * [taylor]: Taking taylor expansion of 2 in K 131.586 * [backup-simplify]: Simplify 2 into 2 131.586 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in K 131.586 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 131.586 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 131.586 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 131.586 * [taylor]: Taking taylor expansion of 1/2 in K 131.586 * [backup-simplify]: Simplify 1/2 into 1/2 131.586 * [taylor]: Taking taylor expansion of K in K 131.586 * [backup-simplify]: Simplify 0 into 0 131.586 * [backup-simplify]: Simplify 1 into 1 131.587 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 131.587 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 131.587 * [taylor]: Taking taylor expansion of (pow J 2) in K 131.587 * [taylor]: Taking taylor expansion of J in K 131.587 * [backup-simplify]: Simplify J into J 131.587 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 131.587 * [backup-simplify]: Simplify (* J J) into (pow J 2) 131.587 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 131.587 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) into (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 131.588 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) 131.588 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J 131.588 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J 131.588 * [taylor]: Taking taylor expansion of 2 in J 131.588 * [backup-simplify]: Simplify 2 into 2 131.588 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J 131.588 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 131.588 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 131.588 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 131.588 * [taylor]: Taking taylor expansion of 1/2 in J 131.588 * [backup-simplify]: Simplify 1/2 into 1/2 131.588 * [taylor]: Taking taylor expansion of K in J 131.588 * [backup-simplify]: Simplify K into K 131.588 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 131.588 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 131.588 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 131.588 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 131.588 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 131.589 * [backup-simplify]: Simplify (- 0) into 0 131.589 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 131.589 * [taylor]: Taking taylor expansion of (pow J 2) in J 131.589 * [taylor]: Taking taylor expansion of J in J 131.589 * [backup-simplify]: Simplify 0 into 0 131.589 * [backup-simplify]: Simplify 1 into 1 131.589 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 131.589 * [backup-simplify]: Simplify (* 1 1) into 1 131.589 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 131.590 * [backup-simplify]: Simplify (+ 0) into 0 131.590 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 131.591 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 131.591 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 131.592 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 131.592 * [backup-simplify]: Simplify (- 0) into 0 131.593 * [backup-simplify]: Simplify (+ 0 0) into 0 131.593 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 131.593 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 131.594 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 131.595 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 131.595 * [backup-simplify]: Simplify (- 0) into 0 131.595 * [backup-simplify]: Simplify 0 into 0 131.595 * [taylor]: Taking taylor expansion of 0 in J 131.595 * [backup-simplify]: Simplify 0 into 0 131.595 * [taylor]: Taking taylor expansion of 0 in J 131.595 * [backup-simplify]: Simplify 0 into 0 131.595 * [backup-simplify]: Simplify 0 into 0 131.595 * [backup-simplify]: Simplify 0 into 0 131.596 * [backup-simplify]: Simplify 0 into 0 131.596 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 131.597 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 131.598 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 131.599 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 131.600 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 131.600 * [backup-simplify]: Simplify (- 0) into 0 131.600 * [backup-simplify]: Simplify (+ 0 0) into 0 131.601 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 131.601 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 131.602 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 131.603 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 131.603 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 131.605 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 131.606 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 131.606 * [backup-simplify]: Simplify (- 0) into 0 131.607 * [backup-simplify]: Simplify (+ 0 0) into 0 131.607 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 131.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 131.610 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 131.611 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 131.612 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 131.612 * [backup-simplify]: Simplify (+ 0 0) into 0 131.613 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 131.613 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* (/ (cos (/ 1/2 K)) J) 0) (* 0 (/ (cos (/ 1/2 K)) J))))) into 0 131.615 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 131.615 * [taylor]: Taking taylor expansion of 0 in K 131.615 * [backup-simplify]: Simplify 0 into 0 131.615 * [taylor]: Taking taylor expansion of 0 in J 131.615 * [backup-simplify]: Simplify 0 into 0 131.615 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 131.615 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 131.615 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 131.616 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) into 0 131.616 * [backup-simplify]: Simplify (- 0) into 0 131.617 * [taylor]: Taking taylor expansion of 0 in J 131.617 * [backup-simplify]: Simplify 0 into 0 131.617 * [taylor]: Taking taylor expansion of 0 in J 131.617 * [backup-simplify]: Simplify 0 into 0 131.617 * [taylor]: Taking taylor expansion of 0 in J 131.617 * [backup-simplify]: Simplify 0 into 0 131.618 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 131.618 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 131.618 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 131.619 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 131.620 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 131.620 * [backup-simplify]: Simplify (- 0) into 0 131.620 * [backup-simplify]: Simplify (+ 0 0) into 0 131.621 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 131.622 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 131.623 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 131.624 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 131.624 * [backup-simplify]: Simplify (- 0) into 0 131.624 * [backup-simplify]: Simplify 0 into 0 131.625 * [backup-simplify]: Simplify 0 into 0 131.625 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U) 131.626 * [backup-simplify]: Simplify (* (* (sqrt (+ (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) 1)) -2) (* (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2)))) (* (cbrt (cos (/ (/ 1 (- K)) 2))) (/ 1 (- J))))) into (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) 131.626 * [approximate]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in (U K J) around 0 131.626 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J 131.626 * [taylor]: Taking taylor expansion of 2 in J 131.626 * [backup-simplify]: Simplify 2 into 2 131.626 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 131.626 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 131.626 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 131.626 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 131.626 * [taylor]: Taking taylor expansion of -1/2 in J 131.627 * [backup-simplify]: Simplify -1/2 into -1/2 131.627 * [taylor]: Taking taylor expansion of K in J 131.627 * [backup-simplify]: Simplify K into K 131.627 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 131.627 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 131.627 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 131.627 * [taylor]: Taking taylor expansion of J in J 131.627 * [backup-simplify]: Simplify 0 into 0 131.627 * [backup-simplify]: Simplify 1 into 1 131.627 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 131.627 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 131.628 * [backup-simplify]: Simplify (- 0) into 0 131.628 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 131.628 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 131.628 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 131.628 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 131.628 * [taylor]: Taking taylor expansion of 1 in J 131.628 * [backup-simplify]: Simplify 1 into 1 131.628 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 131.628 * [taylor]: Taking taylor expansion of 1/4 in J 131.628 * [backup-simplify]: Simplify 1/4 into 1/4 131.628 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 131.628 * [taylor]: Taking taylor expansion of (pow J 2) in J 131.628 * [taylor]: Taking taylor expansion of J in J 131.628 * [backup-simplify]: Simplify 0 into 0 131.628 * [backup-simplify]: Simplify 1 into 1 131.628 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 131.628 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 131.628 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 131.628 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 131.628 * [taylor]: Taking taylor expansion of -1/2 in J 131.628 * [backup-simplify]: Simplify -1/2 into -1/2 131.628 * [taylor]: Taking taylor expansion of K in J 131.628 * [backup-simplify]: Simplify K into K 131.628 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 131.628 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 131.629 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 131.629 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 131.629 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 131.629 * [backup-simplify]: Simplify (- 0) into 0 131.629 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 131.629 * [taylor]: Taking taylor expansion of (pow U 2) in J 131.629 * [taylor]: Taking taylor expansion of U in J 131.629 * [backup-simplify]: Simplify U into U 131.630 * [backup-simplify]: Simplify (* 1 1) into 1 131.630 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 131.630 * [backup-simplify]: Simplify (* U U) into (pow U 2) 131.630 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 131.630 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 131.631 * [backup-simplify]: Simplify (+ 1 0) into 1 131.631 * [backup-simplify]: Simplify (sqrt 1) into 1 131.632 * [backup-simplify]: Simplify (+ 0 0) into 0 131.632 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 131.632 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K 131.632 * [taylor]: Taking taylor expansion of 2 in K 131.632 * [backup-simplify]: Simplify 2 into 2 131.633 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K 131.633 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 131.633 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 131.633 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 131.633 * [taylor]: Taking taylor expansion of -1/2 in K 131.633 * [backup-simplify]: Simplify -1/2 into -1/2 131.633 * [taylor]: Taking taylor expansion of K in K 131.633 * [backup-simplify]: Simplify 0 into 0 131.633 * [backup-simplify]: Simplify 1 into 1 131.633 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 131.633 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 131.633 * [taylor]: Taking taylor expansion of J in K 131.633 * [backup-simplify]: Simplify J into J 131.633 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 131.633 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 131.633 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 131.633 * [taylor]: Taking taylor expansion of 1 in K 131.634 * [backup-simplify]: Simplify 1 into 1 131.634 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 131.634 * [taylor]: Taking taylor expansion of 1/4 in K 131.634 * [backup-simplify]: Simplify 1/4 into 1/4 131.634 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 131.634 * [taylor]: Taking taylor expansion of (pow J 2) in K 131.634 * [taylor]: Taking taylor expansion of J in K 131.634 * [backup-simplify]: Simplify J into J 131.634 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 131.634 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 131.634 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 131.634 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 131.634 * [taylor]: Taking taylor expansion of -1/2 in K 131.634 * [backup-simplify]: Simplify -1/2 into -1/2 131.634 * [taylor]: Taking taylor expansion of K in K 131.634 * [backup-simplify]: Simplify 0 into 0 131.634 * [backup-simplify]: Simplify 1 into 1 131.634 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 131.634 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 131.634 * [taylor]: Taking taylor expansion of (pow U 2) in K 131.634 * [taylor]: Taking taylor expansion of U in K 131.635 * [backup-simplify]: Simplify U into U 131.635 * [backup-simplify]: Simplify (* J J) into (pow J 2) 131.635 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 131.635 * [backup-simplify]: Simplify (* U U) into (pow U 2) 131.635 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 131.635 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 131.635 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 131.636 * [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))))) 131.636 * [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)))))) 131.636 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 131.636 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 131.637 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 131.637 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 131.637 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 131.638 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 131.638 * [backup-simplify]: Simplify (+ 0 0) into 0 131.639 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 131.639 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 131.639 * [taylor]: Taking taylor expansion of 2 in U 131.639 * [backup-simplify]: Simplify 2 into 2 131.639 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 131.639 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 131.639 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 131.639 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 131.639 * [taylor]: Taking taylor expansion of -1/2 in U 131.639 * [backup-simplify]: Simplify -1/2 into -1/2 131.639 * [taylor]: Taking taylor expansion of K in U 131.639 * [backup-simplify]: Simplify K into K 131.639 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 131.639 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 131.639 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 131.639 * [taylor]: Taking taylor expansion of J in U 131.639 * [backup-simplify]: Simplify J into J 131.640 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 131.640 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 131.640 * [backup-simplify]: Simplify (- 0) into 0 131.640 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 131.640 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 131.640 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 131.640 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 131.640 * [taylor]: Taking taylor expansion of 1 in U 131.640 * [backup-simplify]: Simplify 1 into 1 131.640 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 131.640 * [taylor]: Taking taylor expansion of 1/4 in U 131.640 * [backup-simplify]: Simplify 1/4 into 1/4 131.640 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 131.640 * [taylor]: Taking taylor expansion of (pow J 2) in U 131.640 * [taylor]: Taking taylor expansion of J in U 131.640 * [backup-simplify]: Simplify J into J 131.641 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 131.641 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 131.641 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 131.641 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 131.641 * [taylor]: Taking taylor expansion of -1/2 in U 131.641 * [backup-simplify]: Simplify -1/2 into -1/2 131.641 * [taylor]: Taking taylor expansion of K in U 131.641 * [backup-simplify]: Simplify K into K 131.641 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 131.641 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 131.641 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 131.641 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 131.641 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 131.641 * [backup-simplify]: Simplify (- 0) into 0 131.642 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 131.642 * [taylor]: Taking taylor expansion of (pow U 2) in U 131.642 * [taylor]: Taking taylor expansion of U in U 131.642 * [backup-simplify]: Simplify 0 into 0 131.642 * [backup-simplify]: Simplify 1 into 1 131.642 * [backup-simplify]: Simplify (* J J) into (pow J 2) 131.642 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 131.642 * [backup-simplify]: Simplify (* 1 1) into 1 131.642 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 131.643 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 131.643 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 131.643 * [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))) 131.643 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 131.643 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 131.644 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 131.644 * [backup-simplify]: Simplify (+ 0) into 0 131.645 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 131.645 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 131.646 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 131.646 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 131.647 * [backup-simplify]: Simplify (- 0) into 0 131.647 * [backup-simplify]: Simplify (+ 0 0) into 0 131.647 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 131.648 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 131.648 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 131.649 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 131.649 * [backup-simplify]: Simplify (+ 0 0) into 0 131.649 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 131.649 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 131.649 * [taylor]: Taking taylor expansion of 2 in U 131.650 * [backup-simplify]: Simplify 2 into 2 131.650 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 131.650 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 131.650 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 131.650 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 131.650 * [taylor]: Taking taylor expansion of -1/2 in U 131.650 * [backup-simplify]: Simplify -1/2 into -1/2 131.650 * [taylor]: Taking taylor expansion of K in U 131.650 * [backup-simplify]: Simplify K into K 131.650 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 131.650 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 131.650 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 131.650 * [taylor]: Taking taylor expansion of J in U 131.650 * [backup-simplify]: Simplify J into J 131.650 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 131.650 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 131.651 * [backup-simplify]: Simplify (- 0) into 0 131.651 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 131.651 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 131.651 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 131.651 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 131.651 * [taylor]: Taking taylor expansion of 1 in U 131.651 * [backup-simplify]: Simplify 1 into 1 131.651 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 131.651 * [taylor]: Taking taylor expansion of 1/4 in U 131.651 * [backup-simplify]: Simplify 1/4 into 1/4 131.651 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 131.651 * [taylor]: Taking taylor expansion of (pow J 2) in U 131.651 * [taylor]: Taking taylor expansion of J in U 131.651 * [backup-simplify]: Simplify J into J 131.651 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 131.651 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 131.651 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 131.651 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 131.651 * [taylor]: Taking taylor expansion of -1/2 in U 131.651 * [backup-simplify]: Simplify -1/2 into -1/2 131.651 * [taylor]: Taking taylor expansion of K in U 131.651 * [backup-simplify]: Simplify K into K 131.651 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 131.651 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 131.652 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 131.652 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 131.652 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 131.652 * [backup-simplify]: Simplify (- 0) into 0 131.652 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 131.652 * [taylor]: Taking taylor expansion of (pow U 2) in U 131.652 * [taylor]: Taking taylor expansion of U in U 131.652 * [backup-simplify]: Simplify 0 into 0 131.652 * [backup-simplify]: Simplify 1 into 1 131.652 * [backup-simplify]: Simplify (* J J) into (pow J 2) 131.652 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 131.653 * [backup-simplify]: Simplify (* 1 1) into 1 131.653 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 131.653 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 131.653 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 131.654 * [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))) 131.654 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 131.654 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 131.655 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 131.655 * [backup-simplify]: Simplify (+ 0) into 0 131.655 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 131.656 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 131.656 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 131.657 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 131.657 * [backup-simplify]: Simplify (- 0) into 0 131.658 * [backup-simplify]: Simplify (+ 0 0) into 0 131.658 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 131.658 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 131.659 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 131.659 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 131.660 * [backup-simplify]: Simplify (+ 0 0) into 0 131.660 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 131.660 * [backup-simplify]: Simplify (* (/ (cos (/ -1/2 K)) J) (* 1/2 (/ J (cos (/ -1/2 K))))) into 1/2 131.661 * [backup-simplify]: Simplify (* 2 1/2) into 1 131.661 * [taylor]: Taking taylor expansion of 1 in K 131.661 * [backup-simplify]: Simplify 1 into 1 131.661 * [taylor]: Taking taylor expansion of 1 in J 131.661 * [backup-simplify]: Simplify 1 into 1 131.661 * [backup-simplify]: Simplify (+ 0) into 0 131.662 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 131.662 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 131.663 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 131.663 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 131.663 * [backup-simplify]: Simplify (- 0) into 0 131.664 * [backup-simplify]: Simplify (+ 0 0) into 0 131.664 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0 131.664 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 131.665 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0 131.665 * [taylor]: Taking taylor expansion of 0 in K 131.665 * [backup-simplify]: Simplify 0 into 0 131.665 * [taylor]: Taking taylor expansion of 0 in J 131.665 * [backup-simplify]: Simplify 0 into 0 131.665 * [taylor]: Taking taylor expansion of 0 in J 131.665 * [backup-simplify]: Simplify 0 into 0 131.665 * [backup-simplify]: Simplify 1 into 1 131.666 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 131.667 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 131.667 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 131.668 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 131.668 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 131.669 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 131.670 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 131.670 * [backup-simplify]: Simplify (- 0) into 0 131.670 * [backup-simplify]: Simplify (+ 0 0) into 0 131.671 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 131.672 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 131.672 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 131.673 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 131.674 * [backup-simplify]: Simplify (+ 1 0) into 1 131.675 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 131.675 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 131.677 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 131.677 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 131.678 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 131.678 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 131.679 * [backup-simplify]: Simplify (- 0) into 0 131.679 * [backup-simplify]: Simplify (+ 0 0) into 0 131.679 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 131.680 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 131.681 * [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))) 131.681 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in K 131.681 * [taylor]: Taking taylor expansion of 2 in K 131.681 * [backup-simplify]: Simplify 2 into 2 131.681 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in K 131.681 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 131.681 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 131.681 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 131.681 * [taylor]: Taking taylor expansion of -1/2 in K 131.681 * [backup-simplify]: Simplify -1/2 into -1/2 131.681 * [taylor]: Taking taylor expansion of K in K 131.681 * [backup-simplify]: Simplify 0 into 0 131.681 * [backup-simplify]: Simplify 1 into 1 131.686 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 131.686 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 131.686 * [taylor]: Taking taylor expansion of (pow J 2) in K 131.686 * [taylor]: Taking taylor expansion of J in K 131.686 * [backup-simplify]: Simplify J into J 131.686 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 131.686 * [backup-simplify]: Simplify (* J J) into (pow J 2) 131.686 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 131.687 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 131.687 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J 131.687 * [taylor]: Taking taylor expansion of 2 in J 131.687 * [backup-simplify]: Simplify 2 into 2 131.687 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J 131.687 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 131.687 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 131.687 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 131.687 * [taylor]: Taking taylor expansion of -1/2 in J 131.687 * [backup-simplify]: Simplify -1/2 into -1/2 131.687 * [taylor]: Taking taylor expansion of K in J 131.687 * [backup-simplify]: Simplify K into K 131.687 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 131.687 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 131.687 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 131.687 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 131.687 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 131.688 * [backup-simplify]: Simplify (- 0) into 0 131.688 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 131.688 * [taylor]: Taking taylor expansion of (pow J 2) in J 131.688 * [taylor]: Taking taylor expansion of J in J 131.688 * [backup-simplify]: Simplify 0 into 0 131.688 * [backup-simplify]: Simplify 1 into 1 131.688 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 131.689 * [backup-simplify]: Simplify (* 1 1) into 1 131.689 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 131.689 * [backup-simplify]: Simplify (+ 0) into 0 131.690 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 131.690 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 131.691 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 131.691 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 131.691 * [backup-simplify]: Simplify (- 0) into 0 131.692 * [backup-simplify]: Simplify (+ 0 0) into 0 131.692 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 131.692 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 131.693 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 131.693 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 131.693 * [backup-simplify]: Simplify 0 into 0 131.693 * [taylor]: Taking taylor expansion of 0 in J 131.693 * [backup-simplify]: Simplify 0 into 0 131.693 * [taylor]: Taking taylor expansion of 0 in J 131.693 * [backup-simplify]: Simplify 0 into 0 131.693 * [backup-simplify]: Simplify 0 into 0 131.693 * [backup-simplify]: Simplify 0 into 0 131.693 * [backup-simplify]: Simplify 0 into 0 131.694 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 131.694 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 131.695 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 131.695 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 131.696 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 131.696 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 131.697 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 131.697 * [backup-simplify]: Simplify (- 0) into 0 131.697 * [backup-simplify]: Simplify (+ 0 0) into 0 131.698 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 131.698 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 131.699 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 131.700 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 131.700 * [backup-simplify]: Simplify (+ 0 0) into 0 131.700 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 131.701 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 131.701 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 131.701 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 131.702 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 131.702 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 131.703 * [backup-simplify]: Simplify (- 0) into 0 131.703 * [backup-simplify]: Simplify (+ 0 0) into 0 131.703 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 131.703 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (+ (* 0 (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0 131.705 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 131.705 * [taylor]: Taking taylor expansion of 0 in K 131.705 * [backup-simplify]: Simplify 0 into 0 131.705 * [taylor]: Taking taylor expansion of 0 in J 131.705 * [backup-simplify]: Simplify 0 into 0 131.705 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 131.705 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 131.705 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 131.705 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) into 0 131.706 * [taylor]: Taking taylor expansion of 0 in J 131.706 * [backup-simplify]: Simplify 0 into 0 131.706 * [taylor]: Taking taylor expansion of 0 in J 131.706 * [backup-simplify]: Simplify 0 into 0 131.706 * [taylor]: Taking taylor expansion of 0 in J 131.706 * [backup-simplify]: Simplify 0 into 0 131.706 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 131.707 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 131.707 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 131.707 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 131.707 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 131.708 * [backup-simplify]: Simplify (- 0) into 0 131.708 * [backup-simplify]: Simplify (+ 0 0) into 0 131.708 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 131.709 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 131.710 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 131.710 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0 131.710 * [backup-simplify]: Simplify 0 into 0 131.710 * [backup-simplify]: Simplify 0 into 0 131.710 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U) 131.710 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1) 131.710 * [backup-simplify]: Simplify (cbrt (cos (/ K 2))) into (pow (cos (* 1/2 K)) 1/3) 131.710 * [approximate]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in (K) around 0 131.710 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in K 131.711 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (* 1/2 K))))) in K 131.711 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (* 1/2 K)))) in K 131.711 * [taylor]: Taking taylor expansion of 1/3 in K 131.711 * [backup-simplify]: Simplify 1/3 into 1/3 131.711 * [taylor]: Taking taylor expansion of (log (cos (* 1/2 K))) in K 131.711 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 131.711 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 131.711 * [taylor]: Taking taylor expansion of 1/2 in K 131.711 * [backup-simplify]: Simplify 1/2 into 1/2 131.711 * [taylor]: Taking taylor expansion of K in K 131.711 * [backup-simplify]: Simplify 0 into 0 131.711 * [backup-simplify]: Simplify 1 into 1 131.711 * [backup-simplify]: Simplify (* 1/2 0) into 0 131.711 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 131.712 * [backup-simplify]: Simplify (log 1) into 0 131.712 * [backup-simplify]: Simplify (* 1/3 0) into 0 131.712 * [backup-simplify]: Simplify (+ 0) into 0 131.713 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 131.713 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 131.714 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 131.715 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/8 131.716 * [backup-simplify]: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24 131.716 * [backup-simplify]: Simplify (exp 0) into 1 131.716 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in K 131.716 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (* 1/2 K))))) in K 131.716 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (* 1/2 K)))) in K 131.716 * [taylor]: Taking taylor expansion of 1/3 in K 131.716 * [backup-simplify]: Simplify 1/3 into 1/3 131.716 * [taylor]: Taking taylor expansion of (log (cos (* 1/2 K))) in K 131.716 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 131.716 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 131.716 * [taylor]: Taking taylor expansion of 1/2 in K 131.716 * [backup-simplify]: Simplify 1/2 into 1/2 131.716 * [taylor]: Taking taylor expansion of K in K 131.716 * [backup-simplify]: Simplify 0 into 0 131.716 * [backup-simplify]: Simplify 1 into 1 131.717 * [backup-simplify]: Simplify (* 1/2 0) into 0 131.717 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 131.717 * [backup-simplify]: Simplify (log 1) into 0 131.717 * [backup-simplify]: Simplify (* 1/3 0) into 0 131.718 * [backup-simplify]: Simplify (+ 0) into 0 131.718 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 131.719 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 131.719 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 131.721 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/8 131.722 * [backup-simplify]: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24 131.722 * [backup-simplify]: Simplify (exp 0) into 1 131.722 * [backup-simplify]: Simplify 1 into 1 131.722 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 131.722 * [backup-simplify]: Simplify 0 into 0 131.723 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1/24 1) 1)))) into -1/24 131.723 * [backup-simplify]: Simplify -1/24 into -1/24 131.724 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 131.725 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 131.728 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 131.728 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 0)))) into 0 131.729 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -1/24 1) 1)) (* (/ (pow 0 1) 1)))) into 0 131.730 * [backup-simplify]: Simplify 0 into 0 131.730 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 131.732 * [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 1/384 131.740 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -1/8) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 -1/8) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/384) 1)) (pow 1 1)))) 24) into -1/192 131.741 * [backup-simplify]: Simplify (+ (* 1/3 -1/192) (+ (* 0 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 0))))) into -1/576 131.746 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -1/24 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -1/24 2) 2)) (* (/ (pow -1/576 1) 1)))) into -1/1152 131.746 * [backup-simplify]: Simplify -1/1152 into -1/1152 131.747 * [backup-simplify]: Simplify (+ (* -1/1152 (pow K 4)) (+ (* -1/24 (pow K 2)) 1)) into (- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2)))) 131.747 * [backup-simplify]: Simplify (cbrt (cos (/ (/ 1 K) 2))) into (pow (cos (/ 1/2 K)) 1/3) 131.747 * [approximate]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in (K) around 0 131.747 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in K 131.747 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1/2 K))))) in K 131.747 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1/2 K)))) in K 131.747 * [taylor]: Taking taylor expansion of 1/3 in K 131.747 * [backup-simplify]: Simplify 1/3 into 1/3 131.747 * [taylor]: Taking taylor expansion of (log (cos (/ 1/2 K))) in K 131.747 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 131.747 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 131.747 * [taylor]: Taking taylor expansion of 1/2 in K 131.747 * [backup-simplify]: Simplify 1/2 into 1/2 131.747 * [taylor]: Taking taylor expansion of K in K 131.747 * [backup-simplify]: Simplify 0 into 0 131.747 * [backup-simplify]: Simplify 1 into 1 131.748 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 131.748 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 131.748 * [backup-simplify]: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) 131.748 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K)))) 131.748 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3) 131.748 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in K 131.748 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1/2 K))))) in K 131.748 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1/2 K)))) in K 131.748 * [taylor]: Taking taylor expansion of 1/3 in K 131.748 * [backup-simplify]: Simplify 1/3 into 1/3 131.748 * [taylor]: Taking taylor expansion of (log (cos (/ 1/2 K))) in K 131.748 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 131.748 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 131.748 * [taylor]: Taking taylor expansion of 1/2 in K 131.748 * [backup-simplify]: Simplify 1/2 into 1/2 131.748 * [taylor]: Taking taylor expansion of K in K 131.748 * [backup-simplify]: Simplify 0 into 0 131.748 * [backup-simplify]: Simplify 1 into 1 131.749 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 131.749 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 131.749 * [backup-simplify]: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) 131.749 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K)))) 131.749 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3) 131.749 * [backup-simplify]: Simplify (pow (cos (/ 1/2 K)) 1/3) into (pow (cos (/ 1/2 K)) 1/3) 131.750 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 1) into 0 131.751 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ 1/2 K))))) into 0 131.752 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 131.752 * [backup-simplify]: Simplify 0 into 0 131.753 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 2) into 0 131.754 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))) into 0 131.755 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 131.756 * [backup-simplify]: Simplify 0 into 0 131.757 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 6) into 0 131.758 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))) into 0 131.759 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 131.759 * [backup-simplify]: Simplify 0 into 0 131.762 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ 1/2 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 24) into 0 131.763 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))))) into 0 131.764 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 131.764 * [backup-simplify]: Simplify 0 into 0 131.768 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ 1/2 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 120) into 0 131.770 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))))) into 0 131.772 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 131.772 * [backup-simplify]: Simplify 0 into 0 131.783 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ 1/2 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 720) into 0 131.785 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))))))) into 0 131.788 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 131.788 * [backup-simplify]: Simplify 0 into 0 131.788 * [backup-simplify]: Simplify (pow (cos (/ 1/2 (/ 1 K))) 1/3) into (pow (cos (* 1/2 K)) 1/3) 131.788 * [backup-simplify]: Simplify (cbrt (cos (/ (/ 1 (- K)) 2))) into (pow (cos (/ -1/2 K)) 1/3) 131.788 * [approximate]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in (K) around 0 131.788 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in K 131.788 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1/2 K))))) in K 131.788 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1/2 K)))) in K 131.788 * [taylor]: Taking taylor expansion of 1/3 in K 131.788 * [backup-simplify]: Simplify 1/3 into 1/3 131.788 * [taylor]: Taking taylor expansion of (log (cos (/ -1/2 K))) in K 131.788 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 131.788 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 131.788 * [taylor]: Taking taylor expansion of -1/2 in K 131.788 * [backup-simplify]: Simplify -1/2 into -1/2 131.788 * [taylor]: Taking taylor expansion of K in K 131.788 * [backup-simplify]: Simplify 0 into 0 131.788 * [backup-simplify]: Simplify 1 into 1 131.789 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 131.789 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 131.789 * [backup-simplify]: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) 131.789 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K)))) 131.789 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3) 131.789 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in K 131.789 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1/2 K))))) in K 131.789 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1/2 K)))) in K 131.789 * [taylor]: Taking taylor expansion of 1/3 in K 131.789 * [backup-simplify]: Simplify 1/3 into 1/3 131.789 * [taylor]: Taking taylor expansion of (log (cos (/ -1/2 K))) in K 131.789 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 131.789 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 131.789 * [taylor]: Taking taylor expansion of -1/2 in K 131.789 * [backup-simplify]: Simplify -1/2 into -1/2 131.789 * [taylor]: Taking taylor expansion of K in K 131.789 * [backup-simplify]: Simplify 0 into 0 131.789 * [backup-simplify]: Simplify 1 into 1 131.789 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 131.789 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 131.789 * [backup-simplify]: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) 131.790 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K)))) 131.790 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3) 131.790 * [backup-simplify]: Simplify (pow (cos (/ -1/2 K)) 1/3) into (pow (cos (/ -1/2 K)) 1/3) 131.790 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 1) into 0 131.791 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ -1/2 K))))) into 0 131.791 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 131.791 * [backup-simplify]: Simplify 0 into 0 131.792 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 2) into 0 131.793 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))) into 0 131.793 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 131.793 * [backup-simplify]: Simplify 0 into 0 131.795 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 6) into 0 131.796 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))) into 0 131.797 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 131.797 * [backup-simplify]: Simplify 0 into 0 131.800 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ -1/2 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 24) into 0 131.801 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))))) into 0 131.802 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 131.802 * [backup-simplify]: Simplify 0 into 0 131.807 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ -1/2 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 120) into 0 131.808 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))))) into 0 131.810 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 131.810 * [backup-simplify]: Simplify 0 into 0 131.817 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ -1/2 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 720) into 0 131.819 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))))))) into 0 131.822 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 131.822 * [backup-simplify]: Simplify 0 into 0 131.822 * [backup-simplify]: Simplify (pow (cos (/ -1/2 (/ 1 (- K)))) 1/3) into (pow (cos (* 1/2 K)) 1/3) 131.822 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 131.822 * [backup-simplify]: Simplify (cbrt (cos (/ K 2))) into (pow (cos (* 1/2 K)) 1/3) 131.822 * [approximate]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in (K) around 0 131.822 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in K 131.822 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (* 1/2 K))))) in K 131.822 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (* 1/2 K)))) in K 131.822 * [taylor]: Taking taylor expansion of 1/3 in K 131.822 * [backup-simplify]: Simplify 1/3 into 1/3 131.822 * [taylor]: Taking taylor expansion of (log (cos (* 1/2 K))) in K 131.822 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 131.822 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 131.822 * [taylor]: Taking taylor expansion of 1/2 in K 131.822 * [backup-simplify]: Simplify 1/2 into 1/2 131.822 * [taylor]: Taking taylor expansion of K in K 131.822 * [backup-simplify]: Simplify 0 into 0 131.822 * [backup-simplify]: Simplify 1 into 1 131.823 * [backup-simplify]: Simplify (* 1/2 0) into 0 131.823 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 131.823 * [backup-simplify]: Simplify (log 1) into 0 131.824 * [backup-simplify]: Simplify (* 1/3 0) into 0 131.824 * [backup-simplify]: Simplify (+ 0) into 0 131.825 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 131.825 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 131.826 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 131.827 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/8 131.828 * [backup-simplify]: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24 131.828 * [backup-simplify]: Simplify (exp 0) into 1 131.828 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in K 131.828 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (* 1/2 K))))) in K 131.828 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (* 1/2 K)))) in K 131.828 * [taylor]: Taking taylor expansion of 1/3 in K 131.828 * [backup-simplify]: Simplify 1/3 into 1/3 131.828 * [taylor]: Taking taylor expansion of (log (cos (* 1/2 K))) in K 131.828 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 131.828 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 131.828 * [taylor]: Taking taylor expansion of 1/2 in K 131.828 * [backup-simplify]: Simplify 1/2 into 1/2 131.828 * [taylor]: Taking taylor expansion of K in K 131.828 * [backup-simplify]: Simplify 0 into 0 131.828 * [backup-simplify]: Simplify 1 into 1 131.828 * [backup-simplify]: Simplify (* 1/2 0) into 0 131.829 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 131.829 * [backup-simplify]: Simplify (log 1) into 0 131.829 * [backup-simplify]: Simplify (* 1/3 0) into 0 131.830 * [backup-simplify]: Simplify (+ 0) into 0 131.830 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 131.831 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 131.831 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 131.833 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/8 131.833 * [backup-simplify]: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24 131.833 * [backup-simplify]: Simplify (exp 0) into 1 131.833 * [backup-simplify]: Simplify 1 into 1 131.834 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 131.834 * [backup-simplify]: Simplify 0 into 0 131.835 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1/24 1) 1)))) into -1/24 131.835 * [backup-simplify]: Simplify -1/24 into -1/24 131.836 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 131.836 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 131.839 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 131.840 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 0)))) into 0 131.842 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -1/24 1) 1)) (* (/ (pow 0 1) 1)))) into 0 131.842 * [backup-simplify]: Simplify 0 into 0 131.843 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 131.846 * [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 1/384 131.858 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -1/8) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 -1/8) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/384) 1)) (pow 1 1)))) 24) into -1/192 131.860 * [backup-simplify]: Simplify (+ (* 1/3 -1/192) (+ (* 0 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 0))))) into -1/576 131.865 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -1/24 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -1/24 2) 2)) (* (/ (pow -1/576 1) 1)))) into -1/1152 131.865 * [backup-simplify]: Simplify -1/1152 into -1/1152 131.865 * [backup-simplify]: Simplify (+ (* -1/1152 (pow K 4)) (+ (* -1/24 (pow K 2)) 1)) into (- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2)))) 131.865 * [backup-simplify]: Simplify (cbrt (cos (/ (/ 1 K) 2))) into (pow (cos (/ 1/2 K)) 1/3) 131.865 * [approximate]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in (K) around 0 131.865 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in K 131.866 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1/2 K))))) in K 131.866 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1/2 K)))) in K 131.866 * [taylor]: Taking taylor expansion of 1/3 in K 131.866 * [backup-simplify]: Simplify 1/3 into 1/3 131.866 * [taylor]: Taking taylor expansion of (log (cos (/ 1/2 K))) in K 131.866 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 131.866 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 131.866 * [taylor]: Taking taylor expansion of 1/2 in K 131.866 * [backup-simplify]: Simplify 1/2 into 1/2 131.866 * [taylor]: Taking taylor expansion of K in K 131.866 * [backup-simplify]: Simplify 0 into 0 131.866 * [backup-simplify]: Simplify 1 into 1 131.867 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 131.867 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 131.867 * [backup-simplify]: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) 131.867 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K)))) 131.867 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3) 131.867 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in K 131.867 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1/2 K))))) in K 131.867 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1/2 K)))) in K 131.867 * [taylor]: Taking taylor expansion of 1/3 in K 131.867 * [backup-simplify]: Simplify 1/3 into 1/3 131.867 * [taylor]: Taking taylor expansion of (log (cos (/ 1/2 K))) in K 131.867 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 131.867 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 131.867 * [taylor]: Taking taylor expansion of 1/2 in K 131.867 * [backup-simplify]: Simplify 1/2 into 1/2 131.867 * [taylor]: Taking taylor expansion of K in K 131.867 * [backup-simplify]: Simplify 0 into 0 131.867 * [backup-simplify]: Simplify 1 into 1 131.868 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 131.868 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 131.868 * [backup-simplify]: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) 131.868 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K)))) 131.868 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3) 131.869 * [backup-simplify]: Simplify (pow (cos (/ 1/2 K)) 1/3) into (pow (cos (/ 1/2 K)) 1/3) 131.870 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 1) into 0 131.870 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ 1/2 K))))) into 0 131.871 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 131.871 * [backup-simplify]: Simplify 0 into 0 131.873 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 2) into 0 131.874 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))) into 0 131.875 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 131.875 * [backup-simplify]: Simplify 0 into 0 131.878 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 6) into 0 131.879 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))) into 0 131.881 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 131.881 * [backup-simplify]: Simplify 0 into 0 131.886 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ 1/2 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 24) into 0 131.894 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))))) into 0 131.897 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 131.897 * [backup-simplify]: Simplify 0 into 0 131.904 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ 1/2 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 120) into 0 131.906 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))))) into 0 131.911 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 131.911 * [backup-simplify]: Simplify 0 into 0 131.920 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ 1/2 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 720) into 0 131.922 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))))))) into 0 131.925 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 131.925 * [backup-simplify]: Simplify 0 into 0 131.925 * [backup-simplify]: Simplify (pow (cos (/ 1/2 (/ 1 K))) 1/3) into (pow (cos (* 1/2 K)) 1/3) 131.925 * [backup-simplify]: Simplify (cbrt (cos (/ (/ 1 (- K)) 2))) into (pow (cos (/ -1/2 K)) 1/3) 131.925 * [approximate]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in (K) around 0 131.925 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in K 131.925 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1/2 K))))) in K 131.925 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1/2 K)))) in K 131.925 * [taylor]: Taking taylor expansion of 1/3 in K 131.925 * [backup-simplify]: Simplify 1/3 into 1/3 131.925 * [taylor]: Taking taylor expansion of (log (cos (/ -1/2 K))) in K 131.925 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 131.925 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 131.925 * [taylor]: Taking taylor expansion of -1/2 in K 131.925 * [backup-simplify]: Simplify -1/2 into -1/2 131.925 * [taylor]: Taking taylor expansion of K in K 131.925 * [backup-simplify]: Simplify 0 into 0 131.925 * [backup-simplify]: Simplify 1 into 1 131.926 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 131.926 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 131.926 * [backup-simplify]: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) 131.926 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K)))) 131.926 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3) 131.926 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in K 131.926 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1/2 K))))) in K 131.926 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1/2 K)))) in K 131.926 * [taylor]: Taking taylor expansion of 1/3 in K 131.926 * [backup-simplify]: Simplify 1/3 into 1/3 131.926 * [taylor]: Taking taylor expansion of (log (cos (/ -1/2 K))) in K 131.926 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 131.926 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 131.926 * [taylor]: Taking taylor expansion of -1/2 in K 131.926 * [backup-simplify]: Simplify -1/2 into -1/2 131.926 * [taylor]: Taking taylor expansion of K in K 131.926 * [backup-simplify]: Simplify 0 into 0 131.926 * [backup-simplify]: Simplify 1 into 1 131.926 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 131.926 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 131.927 * [backup-simplify]: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) 131.927 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K)))) 131.927 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3) 131.927 * [backup-simplify]: Simplify (pow (cos (/ -1/2 K)) 1/3) into (pow (cos (/ -1/2 K)) 1/3) 131.927 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 1) into 0 131.928 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ -1/2 K))))) into 0 131.928 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 131.928 * [backup-simplify]: Simplify 0 into 0 131.929 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 2) into 0 131.930 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))) into 0 131.930 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 131.930 * [backup-simplify]: Simplify 0 into 0 131.932 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 6) into 0 131.933 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))) into 0 131.934 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 131.934 * [backup-simplify]: Simplify 0 into 0 131.936 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ -1/2 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 24) into 0 131.937 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))))) into 0 131.939 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 131.939 * [backup-simplify]: Simplify 0 into 0 131.943 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ -1/2 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 120) into 0 131.944 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))))) into 0 131.948 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 131.948 * [backup-simplify]: Simplify 0 into 0 131.961 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ -1/2 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 720) into 0 131.963 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))))))) into 0 131.970 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 131.970 * [backup-simplify]: Simplify 0 into 0 131.971 * [backup-simplify]: Simplify (pow (cos (/ -1/2 (/ 1 (- K)))) 1/3) into (pow (cos (* 1/2 K)) 1/3) 131.971 * * * [progress]: simplifying candidates 131.971 * * * * [progress]: [ 1 / 95 ] simplifiying candidate # 131.971 * * * * [progress]: [ 2 / 95 ] simplifiying candidate # 131.971 * * * * [progress]: [ 3 / 95 ] simplifiying candidate # 131.971 * * * * [progress]: [ 4 / 95 ] simplifiying candidate # 131.971 * * * * [progress]: [ 5 / 95 ] simplifiying candidate # 131.971 * * * * [progress]: [ 6 / 95 ] simplifiying candidate # 131.971 * * * * [progress]: [ 7 / 95 ] simplifiying candidate # 131.972 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) 131.972 * * [simplify]: iters left: 6 (15 enodes) 131.979 * * [simplify]: iters left: 5 (59 enodes) 131.999 * * [simplify]: iters left: 4 (112 enodes) 132.039 * * [simplify]: iters left: 3 (365 enodes) 132.251 * * [simplify]: Extracting #0: cost 1 inf + 0 132.251 * * [simplify]: Extracting #1: cost 4 inf + 0 132.251 * * [simplify]: Extracting #2: cost 7 inf + 0 132.251 * * [simplify]: Extracting #3: cost 10 inf + 0 132.252 * * [simplify]: Extracting #4: cost 122 inf + 1 132.253 * * [simplify]: Extracting #5: cost 241 inf + 89 132.254 * * [simplify]: Extracting #6: cost 203 inf + 3666 132.258 * * [simplify]: Extracting #7: cost 128 inf + 17960 132.270 * * [simplify]: Extracting #8: cost 13 inf + 45848 132.293 * * [simplify]: Extracting #9: cost 0 inf + 48961 132.311 * [simplify]: Simplified to (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) 132.311 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (* (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (sqrt (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) 132.311 * * * * [progress]: [ 8 / 95 ] simplifiying candidate # 132.312 * [simplify]: Simplifying (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) 132.312 * * [simplify]: iters left: 6 (14 enodes) 132.315 * * [simplify]: iters left: 5 (55 enodes) 132.325 * * [simplify]: iters left: 4 (108 enodes) 132.370 * * [simplify]: iters left: 3 (363 enodes) 132.641 * * [simplify]: Extracting #0: cost 1 inf + 0 132.642 * * [simplify]: Extracting #1: cost 3 inf + 0 132.642 * * [simplify]: Extracting #2: cost 5 inf + 0 132.642 * * [simplify]: Extracting #3: cost 8 inf + 0 132.642 * * [simplify]: Extracting #4: cost 123 inf + 1 132.643 * * [simplify]: Extracting #5: cost 234 inf + 420 132.644 * * [simplify]: Extracting #6: cost 203 inf + 3175 132.649 * * [simplify]: Extracting #7: cost 127 inf + 18949 132.665 * * [simplify]: Extracting #8: cost 7 inf + 46860 132.682 * * [simplify]: Extracting #9: cost 0 inf + 48232 132.711 * [simplify]: Simplified to (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 132.711 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (* (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) 132.711 * * * * [progress]: [ 9 / 95 ] simplifiying candidate # 132.712 * [simplify]: Simplifying (sqrt 1) 132.712 * * [simplify]: iters left: 1 (2 enodes) 132.715 * * [simplify]: Extracting #0: cost 1 inf + 0 132.715 * * [simplify]: Extracting #1: cost 0 inf + 1 132.715 * [simplify]: Simplified to 1 132.715 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (* 1 (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) 132.715 * * * * [progress]: [ 10 / 95 ] simplifiying candidate # 132.716 * [simplify]: Simplifying (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3))) 132.716 * * [simplify]: iters left: 6 (16 enodes) 132.721 * * [simplify]: iters left: 5 (70 enodes) 132.736 * * [simplify]: iters left: 4 (176 enodes) 132.821 * * [simplify]: Extracting #0: cost 1 inf + 0 132.821 * * [simplify]: Extracting #1: cost 3 inf + 0 132.821 * * [simplify]: Extracting #2: cost 6 inf + 0 132.822 * * [simplify]: Extracting #3: cost 103 inf + 1 132.822 * * [simplify]: Extracting #4: cost 306 inf + 6 132.824 * * [simplify]: Extracting #5: cost 338 inf + 1810 132.828 * * [simplify]: Extracting #6: cost 242 inf + 27932 132.845 * * [simplify]: Extracting #7: cost 28 inf + 100762 132.886 * * [simplify]: Extracting #8: cost 0 inf + 110036 132.924 * [simplify]: Simplified to (sqrt (+ 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 132.924 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (/ (sqrt (+ 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) 132.924 * * * * [progress]: [ 11 / 95 ] simplifiying candidate # 132.925 * [simplify]: Simplifying (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* 1 1))) 132.925 * * [simplify]: iters left: 6 (15 enodes) 132.932 * * [simplify]: iters left: 5 (62 enodes) 132.945 * * [simplify]: iters left: 4 (150 enodes) 133.055 * * [simplify]: Extracting #0: cost 1 inf + 0 133.055 * * [simplify]: Extracting #1: cost 3 inf + 0 133.056 * * [simplify]: Extracting #2: cost 9 inf + 0 133.056 * * [simplify]: Extracting #3: cost 105 inf + 2 133.057 * * [simplify]: Extracting #4: cost 286 inf + 6 133.060 * * [simplify]: Extracting #5: cost 280 inf + 1923 133.064 * * [simplify]: Extracting #6: cost 191 inf + 25190 133.078 * * [simplify]: Extracting #7: cost 26 inf + 76271 133.105 * * [simplify]: Extracting #8: cost 0 inf + 85028 133.144 * [simplify]: Simplified to (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) 133.145 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (/ (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) 133.145 * * * * [progress]: [ 12 / 95 ] simplifiying candidate # 133.145 * [simplify]: Simplifying (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 133.145 * * [simplify]: iters left: 6 (12 enodes) 133.149 * * [simplify]: iters left: 5 (49 enodes) 133.158 * * [simplify]: iters left: 4 (102 enodes) 133.191 * * [simplify]: iters left: 3 (356 enodes) 133.440 * * [simplify]: Extracting #0: cost 1 inf + 0 133.440 * * [simplify]: Extracting #1: cost 4 inf + 0 133.440 * * [simplify]: Extracting #2: cost 116 inf + 1 133.443 * * [simplify]: Extracting #3: cost 234 inf + 254 133.446 * * [simplify]: Extracting #4: cost 192 inf + 4198 133.455 * * [simplify]: Extracting #5: cost 121 inf + 19235 133.482 * * [simplify]: Extracting #6: cost 5 inf + 46310 133.497 * * [simplify]: Extracting #7: cost 0 inf + 47117 133.514 * * [simplify]: Extracting #8: cost 0 inf + 46998 133.542 * [simplify]: Simplified to (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 133.542 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (pow (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (/ 1 2)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) 133.542 * * * * [progress]: [ 13 / 95 ] simplifiying candidate # 133.542 * * * * [progress]: [ 14 / 95 ] simplifiying candidate # 133.542 * [simplify]: Simplifying (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 133.543 * * [simplify]: iters left: 6 (13 enodes) 133.550 * * [simplify]: iters left: 5 (52 enodes) 133.567 * * [simplify]: iters left: 4 (105 enodes) 133.597 * * [simplify]: iters left: 3 (359 enodes) 133.866 * * [simplify]: Extracting #0: cost 1 inf + 0 133.867 * * [simplify]: Extracting #1: cost 3 inf + 0 133.867 * * [simplify]: Extracting #2: cost 6 inf + 0 133.867 * * [simplify]: Extracting #3: cost 118 inf + 1 133.868 * * [simplify]: Extracting #4: cost 235 inf + 336 133.869 * * [simplify]: Extracting #5: cost 193 inf + 4402 133.873 * * [simplify]: Extracting #6: cost 119 inf + 19348 133.888 * * [simplify]: Extracting #7: cost 7 inf + 46040 133.905 * * [simplify]: Extracting #8: cost 0 inf + 47488 133.922 * [simplify]: Simplified to (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 133.922 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (fabs (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) 133.922 * * * * [progress]: [ 15 / 95 ] simplifiying candidate # 133.922 * * * * [progress]: [ 16 / 95 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))))> 133.922 * * * * [progress]: [ 17 / 95 ] simplifiying candidate # 133.922 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))) 133.922 * * [simplify]: iters left: 6 (20 enodes) 133.932 * * [simplify]: iters left: 5 (85 enodes) 133.961 * * [simplify]: iters left: 4 (190 enodes) 134.009 * * [simplify]: Extracting #0: cost 1 inf + 0 134.009 * * [simplify]: Extracting #1: cost 25 inf + 0 134.009 * * [simplify]: Extracting #2: cost 65 inf + 2 134.010 * * [simplify]: Extracting #3: cost 69 inf + 87 134.010 * * [simplify]: Extracting #4: cost 123 inf + 88 134.011 * * [simplify]: Extracting #5: cost 176 inf + 1133 134.015 * * [simplify]: Extracting #6: cost 68 inf + 26585 134.027 * * [simplify]: Extracting #7: cost 9 inf + 46633 134.039 * * [simplify]: Extracting #8: cost 0 inf + 51020 134.051 * [simplify]: Simplified to (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 134.051 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 1)) 134.051 * * * * [progress]: [ 18 / 95 ] simplifiying candidate # 134.051 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))) 134.051 * * [simplify]: iters left: 6 (20 enodes) 134.057 * * [simplify]: iters left: 5 (85 enodes) 134.074 * * [simplify]: iters left: 4 (190 enodes) 134.127 * * [simplify]: Extracting #0: cost 1 inf + 0 134.127 * * [simplify]: Extracting #1: cost 25 inf + 0 134.128 * * [simplify]: Extracting #2: cost 65 inf + 2 134.128 * * [simplify]: Extracting #3: cost 69 inf + 87 134.128 * * [simplify]: Extracting #4: cost 123 inf + 88 134.129 * * [simplify]: Extracting #5: cost 176 inf + 1133 134.134 * * [simplify]: Extracting #6: cost 68 inf + 26585 134.144 * * [simplify]: Extracting #7: cost 9 inf + 46633 134.168 * * [simplify]: Extracting #8: cost 0 inf + 51020 134.192 * [simplify]: Simplified to (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 134.192 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 1)) 134.192 * * * * [progress]: [ 19 / 95 ] simplifiying candidate # 134.192 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))) 134.193 * * [simplify]: iters left: 6 (20 enodes) 134.198 * * [simplify]: iters left: 5 (85 enodes) 134.214 * * [simplify]: iters left: 4 (190 enodes) 134.278 * * [simplify]: Extracting #0: cost 1 inf + 0 134.278 * * [simplify]: Extracting #1: cost 25 inf + 0 134.279 * * [simplify]: Extracting #2: cost 65 inf + 2 134.279 * * [simplify]: Extracting #3: cost 69 inf + 87 134.280 * * [simplify]: Extracting #4: cost 123 inf + 88 134.281 * * [simplify]: Extracting #5: cost 176 inf + 1133 134.289 * * [simplify]: Extracting #6: cost 68 inf + 26585 134.305 * * [simplify]: Extracting #7: cost 9 inf + 46633 134.317 * * [simplify]: Extracting #8: cost 0 inf + 51020 134.330 * [simplify]: Simplified to (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 134.330 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 1)) 134.330 * * * * [progress]: [ 20 / 95 ] simplifiying candidate # 134.330 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))) 134.331 * * [simplify]: iters left: 6 (20 enodes) 134.342 * * [simplify]: iters left: 5 (85 enodes) 134.362 * * [simplify]: iters left: 4 (190 enodes) 134.442 * * [simplify]: Extracting #0: cost 1 inf + 0 134.442 * * [simplify]: Extracting #1: cost 25 inf + 0 134.442 * * [simplify]: Extracting #2: cost 65 inf + 2 134.443 * * [simplify]: Extracting #3: cost 69 inf + 87 134.443 * * [simplify]: Extracting #4: cost 123 inf + 88 134.445 * * [simplify]: Extracting #5: cost 176 inf + 1133 134.453 * * [simplify]: Extracting #6: cost 68 inf + 26585 134.473 * * [simplify]: Extracting #7: cost 9 inf + 46633 134.497 * * [simplify]: Extracting #8: cost 0 inf + 51020 134.525 * [simplify]: Simplified to (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 134.525 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 1)) 134.525 * * * * [progress]: [ 21 / 95 ] simplifiying candidate # 134.525 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))) 134.526 * * [simplify]: iters left: 6 (20 enodes) 134.537 * * [simplify]: iters left: 5 (85 enodes) 134.555 * * [simplify]: iters left: 4 (190 enodes) 134.636 * * [simplify]: Extracting #0: cost 1 inf + 0 134.636 * * [simplify]: Extracting #1: cost 25 inf + 0 134.636 * * [simplify]: Extracting #2: cost 65 inf + 2 134.637 * * [simplify]: Extracting #3: cost 69 inf + 87 134.638 * * [simplify]: Extracting #4: cost 123 inf + 88 134.639 * * [simplify]: Extracting #5: cost 176 inf + 1133 134.647 * * [simplify]: Extracting #6: cost 68 inf + 26585 134.668 * * [simplify]: Extracting #7: cost 9 inf + 46633 134.692 * * [simplify]: Extracting #8: cost 0 inf + 51020 134.716 * [simplify]: Simplified to (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 134.716 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 1)) 134.716 * * * * [progress]: [ 22 / 95 ] simplifiying candidate # 134.717 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))) 134.717 * * [simplify]: iters left: 6 (20 enodes) 134.728 * * [simplify]: iters left: 5 (85 enodes) 134.744 * * [simplify]: iters left: 4 (190 enodes) 134.824 * * [simplify]: Extracting #0: cost 1 inf + 0 134.824 * * [simplify]: Extracting #1: cost 25 inf + 0 134.824 * * [simplify]: Extracting #2: cost 65 inf + 2 134.825 * * [simplify]: Extracting #3: cost 69 inf + 87 134.826 * * [simplify]: Extracting #4: cost 123 inf + 88 134.827 * * [simplify]: Extracting #5: cost 176 inf + 1133 134.834 * * [simplify]: Extracting #6: cost 68 inf + 26585 134.844 * * [simplify]: Extracting #7: cost 9 inf + 46633 134.856 * * [simplify]: Extracting #8: cost 0 inf + 51020 134.872 * [simplify]: Simplified to (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 134.872 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 1)) 134.872 * * * * [progress]: [ 23 / 95 ] simplifiying candidate # 134.872 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))) 134.875 * * [simplify]: iters left: 6 (20 enodes) 134.881 * * [simplify]: iters left: 5 (85 enodes) 134.897 * * [simplify]: iters left: 4 (190 enodes) 134.967 * * [simplify]: Extracting #0: cost 1 inf + 0 134.968 * * [simplify]: Extracting #1: cost 25 inf + 0 134.968 * * [simplify]: Extracting #2: cost 65 inf + 2 134.970 * * [simplify]: Extracting #3: cost 69 inf + 87 134.971 * * [simplify]: Extracting #4: cost 123 inf + 88 134.972 * * [simplify]: Extracting #5: cost 176 inf + 1133 134.976 * * [simplify]: Extracting #6: cost 68 inf + 26585 134.986 * * [simplify]: Extracting #7: cost 9 inf + 46633 134.998 * * [simplify]: Extracting #8: cost 0 inf + 51020 135.010 * [simplify]: Simplified to (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 135.010 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 1)) 135.011 * * * * [progress]: [ 24 / 95 ] simplifiying candidate # 135.011 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))) 135.011 * * [simplify]: iters left: 6 (20 enodes) 135.017 * * [simplify]: iters left: 5 (85 enodes) 135.045 * * [simplify]: iters left: 4 (190 enodes) 135.127 * * [simplify]: Extracting #0: cost 1 inf + 0 135.127 * * [simplify]: Extracting #1: cost 25 inf + 0 135.127 * * [simplify]: Extracting #2: cost 65 inf + 2 135.127 * * [simplify]: Extracting #3: cost 69 inf + 87 135.127 * * [simplify]: Extracting #4: cost 123 inf + 88 135.128 * * [simplify]: Extracting #5: cost 176 inf + 1133 135.132 * * [simplify]: Extracting #6: cost 68 inf + 26585 135.143 * * [simplify]: Extracting #7: cost 9 inf + 46633 135.155 * * [simplify]: Extracting #8: cost 0 inf + 51020 135.167 * [simplify]: Simplified to (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 135.167 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 1)) 135.167 * * * * [progress]: [ 25 / 95 ] simplifiying candidate # 135.168 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))) 135.168 * * [simplify]: iters left: 6 (20 enodes) 135.181 * * [simplify]: iters left: 5 (85 enodes) 135.198 * * [simplify]: iters left: 4 (190 enodes) 135.270 * * [simplify]: Extracting #0: cost 1 inf + 0 135.270 * * [simplify]: Extracting #1: cost 25 inf + 0 135.270 * * [simplify]: Extracting #2: cost 65 inf + 2 135.271 * * [simplify]: Extracting #3: cost 69 inf + 87 135.271 * * [simplify]: Extracting #4: cost 123 inf + 88 135.273 * * [simplify]: Extracting #5: cost 176 inf + 1133 135.285 * * [simplify]: Extracting #6: cost 68 inf + 26585 135.305 * * [simplify]: Extracting #7: cost 9 inf + 46633 135.319 * * [simplify]: Extracting #8: cost 0 inf + 51020 135.330 * [simplify]: Simplified to (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 135.330 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 1)) 135.331 * * * * [progress]: [ 26 / 95 ] simplifiying candidate # 135.331 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))) 135.331 * * [simplify]: iters left: 6 (20 enodes) 135.337 * * [simplify]: iters left: 5 (85 enodes) 135.366 * * [simplify]: iters left: 4 (190 enodes) 135.414 * * [simplify]: Extracting #0: cost 1 inf + 0 135.414 * * [simplify]: Extracting #1: cost 25 inf + 0 135.414 * * [simplify]: Extracting #2: cost 65 inf + 2 135.414 * * [simplify]: Extracting #3: cost 69 inf + 87 135.415 * * [simplify]: Extracting #4: cost 123 inf + 88 135.415 * * [simplify]: Extracting #5: cost 176 inf + 1133 135.420 * * [simplify]: Extracting #6: cost 68 inf + 26585 135.440 * * [simplify]: Extracting #7: cost 9 inf + 46633 135.464 * * [simplify]: Extracting #8: cost 0 inf + 51020 135.487 * [simplify]: Simplified to (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 135.487 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 1)) 135.488 * * * * [progress]: [ 27 / 95 ] simplifiying candidate # 135.488 * * * * [progress]: [ 28 / 95 ] simplifiying candidate # 135.488 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (+ (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2))))) (+ (log (cbrt (cos (/ K 2)))) (log J)))) 135.489 * * [simplify]: iters left: 6 (24 enodes) 135.504 * * [simplify]: iters left: 5 (97 enodes) 135.521 * * [simplify]: iters left: 4 (202 enodes) 135.592 * * [simplify]: Extracting #0: cost 1 inf + 0 135.593 * * [simplify]: Extracting #1: cost 25 inf + 0 135.593 * * [simplify]: Extracting #2: cost 70 inf + 0 135.593 * * [simplify]: Extracting #3: cost 73 inf + 73 135.593 * * [simplify]: Extracting #4: cost 74 inf + 468 135.594 * * [simplify]: Extracting #5: cost 128 inf + 651 135.594 * * [simplify]: Extracting #6: cost 179 inf + 2324 135.601 * * [simplify]: Extracting #7: cost 84 inf + 24765 135.610 * * [simplify]: Extracting #8: cost 21 inf + 50546 135.623 * * [simplify]: Extracting #9: cost 0 inf + 63297 135.642 * [simplify]: Simplified to (+ (+ (+ (log (cbrt (cos (/ K 2)))) (log J)) (log (cbrt (cos (/ K 2))))) (+ (log -2) (+ (log (sqrt (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (log (cbrt (cos (/ K 2))))))) 135.642 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (+ (log (cbrt (cos (/ K 2)))) (log J)) (log (cbrt (cos (/ K 2))))) (+ (log -2) (+ (log (sqrt (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (log (cbrt (cos (/ K 2))))))))) 135.642 * * * * [progress]: [ 29 / 95 ] simplifiying candidate # 135.643 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (+ (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2))))) (log (* (cbrt (cos (/ K 2))) J)))) 135.643 * * [simplify]: iters left: 6 (24 enodes) 135.655 * * [simplify]: iters left: 5 (97 enodes) 135.689 * * [simplify]: iters left: 4 (194 enodes) 135.777 * * [simplify]: Extracting #0: cost 1 inf + 0 135.777 * * [simplify]: Extracting #1: cost 25 inf + 0 135.778 * * [simplify]: Extracting #2: cost 70 inf + 0 135.778 * * [simplify]: Extracting #3: cost 72 inf + 215 135.779 * * [simplify]: Extracting #4: cost 74 inf + 650 135.779 * * [simplify]: Extracting #5: cost 129 inf + 651 135.781 * * [simplify]: Extracting #6: cost 180 inf + 2019 135.787 * * [simplify]: Extracting #7: cost 85 inf + 23313 135.805 * * [simplify]: Extracting #8: cost 25 inf + 47934 135.827 * * [simplify]: Extracting #9: cost 1 inf + 62274 135.841 * * [simplify]: Extracting #10: cost 0 inf + 62828 135.857 * [simplify]: Simplified to (+ (+ (+ (log -2) (log J)) (log (cbrt (cos (/ K 2))))) (+ (+ (log (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (log (cbrt (cos (/ K 2))))) (log (cbrt (cos (/ K 2)))))) 135.857 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (+ (log -2) (log J)) (log (cbrt (cos (/ K 2))))) (+ (+ (log (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (log (cbrt (cos (/ K 2))))) (log (cbrt (cos (/ K 2)))))))) 135.857 * * * * [progress]: [ 30 / 95 ] simplifiying candidate # 135.858 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (+ (log (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (+ (log (cbrt (cos (/ K 2)))) (log J)))) 135.858 * * [simplify]: iters left: 6 (25 enodes) 135.865 * * [simplify]: iters left: 5 (99 enodes) 135.891 * * [simplify]: iters left: 4 (199 enodes) 135.953 * * [simplify]: Extracting #0: cost 1 inf + 0 135.953 * * [simplify]: Extracting #1: cost 26 inf + 0 135.953 * * [simplify]: Extracting #2: cost 70 inf + 0 135.954 * * [simplify]: Extracting #3: cost 73 inf + 73 135.954 * * [simplify]: Extracting #4: cost 74 inf + 468 135.954 * * [simplify]: Extracting #5: cost 128 inf + 651 135.955 * * [simplify]: Extracting #6: cost 180 inf + 1797 135.958 * * [simplify]: Extracting #7: cost 90 inf + 23093 135.966 * * [simplify]: Extracting #8: cost 27 inf + 45668 135.978 * * [simplify]: Extracting #9: cost 0 inf + 63085 136.004 * [simplify]: Simplified to (+ (log (cbrt (cos (/ K 2)))) (+ (+ (log -2) (log (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (+ (log (cbrt (cos (/ K 2)))) (+ (log (cbrt (cos (/ K 2)))) (log J))))) 136.004 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log (cbrt (cos (/ K 2)))) (+ (+ (log -2) (log (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (+ (log (cbrt (cos (/ K 2)))) (+ (log (cbrt (cos (/ K 2)))) (log J))))))) 136.005 * * * * [progress]: [ 31 / 95 ] simplifiying candidate # 136.005 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (+ (log (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (log (* (cbrt (cos (/ K 2))) J)))) 136.005 * * [simplify]: iters left: 6 (24 enodes) 136.018 * * [simplify]: iters left: 5 (97 enodes) 136.051 * * [simplify]: iters left: 4 (190 enodes) 136.131 * * [simplify]: Extracting #0: cost 1 inf + 0 136.132 * * [simplify]: Extracting #1: cost 24 inf + 0 136.132 * * [simplify]: Extracting #2: cost 65 inf + 0 136.132 * * [simplify]: Extracting #3: cost 69 inf + 73 136.132 * * [simplify]: Extracting #4: cost 69 inf + 650 136.133 * * [simplify]: Extracting #5: cost 124 inf + 651 136.133 * * [simplify]: Extracting #6: cost 178 inf + 1612 136.137 * * [simplify]: Extracting #7: cost 92 inf + 20647 136.145 * * [simplify]: Extracting #8: cost 28 inf + 43774 136.156 * * [simplify]: Extracting #9: cost 6 inf + 55356 136.181 * * [simplify]: Extracting #10: cost 0 inf + 58951 136.197 * [simplify]: Simplified to (+ (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2))))) (+ (log (cbrt (cos (/ K 2)))) (+ (log J) (+ (log -2) (log (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))))))) 136.197 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2))))) (+ (log (cbrt (cos (/ K 2)))) (+ (log J) (+ (log -2) (log (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))))))))) 136.197 * * * * [progress]: [ 32 / 95 ] simplifiying candidate # 136.198 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (log (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) 136.198 * * [simplify]: iters left: 6 (23 enodes) 136.204 * * [simplify]: iters left: 5 (95 enodes) 136.221 * * [simplify]: iters left: 4 (188 enodes) 136.284 * * [simplify]: Extracting #0: cost 1 inf + 0 136.284 * * [simplify]: Extracting #1: cost 19 inf + 0 136.284 * * [simplify]: Extracting #2: cost 61 inf + 0 136.284 * * [simplify]: Extracting #3: cost 66 inf + 286 136.285 * * [simplify]: Extracting #4: cost 72 inf + 468 136.286 * * [simplify]: Extracting #5: cost 125 inf + 470 136.287 * * [simplify]: Extracting #6: cost 176 inf + 1922 136.293 * * [simplify]: Extracting #7: cost 89 inf + 22073 136.313 * * [simplify]: Extracting #8: cost 15 inf + 48533 136.335 * * [simplify]: Extracting #9: cost 0 inf + 56681 136.357 * * [simplify]: Extracting #10: cost 0 inf + 56602 136.377 * [simplify]: Simplified to (+ (log (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2)))))) (+ (log -2) (log (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))))) 136.377 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2)))))) (+ (log -2) (log (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))))))) 136.377 * * * * [progress]: [ 33 / 95 ] simplifiying candidate # 136.378 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (+ (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2))))) (+ (log (cbrt (cos (/ K 2)))) (log J)))) 136.378 * * [simplify]: iters left: 6 (23 enodes) 136.384 * * [simplify]: iters left: 5 (95 enodes) 136.401 * * [simplify]: iters left: 4 (192 enodes) 136.466 * * [simplify]: Extracting #0: cost 1 inf + 0 136.466 * * [simplify]: Extracting #1: cost 23 inf + 0 136.466 * * [simplify]: Extracting #2: cost 66 inf + 0 136.467 * * [simplify]: Extracting #3: cost 68 inf + 73 136.467 * * [simplify]: Extracting #4: cost 68 inf + 650 136.467 * * [simplify]: Extracting #5: cost 123 inf + 651 136.468 * * [simplify]: Extracting #6: cost 176 inf + 1876 136.471 * * [simplify]: Extracting #7: cost 85 inf + 22440 136.478 * * [simplify]: Extracting #8: cost 42 inf + 34197 136.488 * * [simplify]: Extracting #9: cost 7 inf + 54296 136.502 * * [simplify]: Extracting #10: cost 0 inf + 58808 136.528 * [simplify]: Simplified to (+ (log J) (+ (+ (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2))))) (log (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))))) (log (cbrt (cos (/ K 2)))))) 136.528 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log J) (+ (+ (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2))))) (log (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))))) (log (cbrt (cos (/ K 2)))))))) 136.529 * * * * [progress]: [ 34 / 95 ] simplifiying candidate # 136.529 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (+ (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2))))) (log (* (cbrt (cos (/ K 2))) J)))) 136.529 * * [simplify]: iters left: 6 (23 enodes) 136.546 * * [simplify]: iters left: 5 (95 enodes) 136.578 * * [simplify]: iters left: 4 (186 enodes) 136.635 * * [simplify]: Extracting #0: cost 1 inf + 0 136.635 * * [simplify]: Extracting #1: cost 23 inf + 0 136.635 * * [simplify]: Extracting #2: cost 61 inf + 0 136.635 * * [simplify]: Extracting #3: cost 65 inf + 73 136.636 * * [simplify]: Extracting #4: cost 67 inf + 286 136.636 * * [simplify]: Extracting #5: cost 122 inf + 287 136.637 * * [simplify]: Extracting #6: cost 171 inf + 1780 136.640 * * [simplify]: Extracting #7: cost 83 inf + 21592 136.655 * * [simplify]: Extracting #8: cost 29 inf + 40490 136.666 * * [simplify]: Extracting #9: cost 3 inf + 55550 136.678 * * [simplify]: Extracting #10: cost 0 inf + 56879 136.691 * [simplify]: Simplified to (+ (+ (+ (log (* -2 (sqrt (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (log (* (cbrt (cos (/ K 2))) J))) (log (cbrt (cos (/ K 2))))) (log (cbrt (cos (/ K 2))))) 136.691 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (+ (log (* -2 (sqrt (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (log (* (cbrt (cos (/ K 2))) J))) (log (cbrt (cos (/ K 2))))) (log (cbrt (cos (/ K 2))))))) 136.691 * * * * [progress]: [ 35 / 95 ] simplifiying candidate # 136.692 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (+ (log (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (+ (log (cbrt (cos (/ K 2)))) (log J)))) 136.692 * * [simplify]: iters left: 6 (24 enodes) 136.704 * * [simplify]: iters left: 5 (97 enodes) 136.724 * * [simplify]: iters left: 4 (191 enodes) 136.770 * * [simplify]: Extracting #0: cost 1 inf + 0 136.770 * * [simplify]: Extracting #1: cost 24 inf + 0 136.770 * * [simplify]: Extracting #2: cost 65 inf + 0 136.771 * * [simplify]: Extracting #3: cost 69 inf + 2 136.771 * * [simplify]: Extracting #4: cost 70 inf + 397 136.771 * * [simplify]: Extracting #5: cost 122 inf + 651 136.772 * * [simplify]: Extracting #6: cost 176 inf + 1835 136.775 * * [simplify]: Extracting #7: cost 87 inf + 22301 136.790 * * [simplify]: Extracting #8: cost 11 inf + 53118 136.814 * * [simplify]: Extracting #9: cost 0 inf + 58415 136.840 * [simplify]: Simplified to (+ (+ (log (cbrt (cos (/ K 2)))) (+ (log (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (log J))) (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2)))))) 136.841 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (log (cbrt (cos (/ K 2)))) (+ (log (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (log J))) (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2)))))))) 136.841 * * * * [progress]: [ 36 / 95 ] simplifiying candidate # 136.841 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (+ (log (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (log (* (cbrt (cos (/ K 2))) J)))) 136.842 * * [simplify]: iters left: 6 (23 enodes) 136.854 * * [simplify]: iters left: 5 (95 enodes) 136.880 * * [simplify]: iters left: 4 (184 enodes) 136.946 * * [simplify]: Extracting #0: cost 1 inf + 0 136.946 * * [simplify]: Extracting #1: cost 22 inf + 0 136.946 * * [simplify]: Extracting #2: cost 59 inf + 0 136.946 * * [simplify]: Extracting #3: cost 64 inf + 73 136.947 * * [simplify]: Extracting #4: cost 66 inf + 286 136.947 * * [simplify]: Extracting #5: cost 121 inf + 287 136.949 * * [simplify]: Extracting #6: cost 170 inf + 2184 136.956 * * [simplify]: Extracting #7: cost 77 inf + 22979 136.971 * * [simplify]: Extracting #8: cost 20 inf + 45043 136.985 * * [simplify]: Extracting #9: cost 1 inf + 54885 136.996 * * [simplify]: Extracting #10: cost 0 inf + 55217 137.007 * [simplify]: Simplified to (+ (log (* (cbrt (cos (/ K 2))) J)) (+ (log (cbrt (cos (/ K 2)))) (+ (log (cbrt (cos (/ K 2)))) (log (* -2 (sqrt (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))))) 137.007 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log (* (cbrt (cos (/ K 2))) J)) (+ (log (cbrt (cos (/ K 2)))) (+ (log (cbrt (cos (/ K 2)))) (log (* -2 (sqrt (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))))))) 137.008 * * * * [progress]: [ 37 / 95 ] simplifiying candidate # 137.008 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (log (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) 137.008 * * [simplify]: iters left: 6 (22 enodes) 137.014 * * [simplify]: iters left: 5 (93 enodes) 137.034 * * [simplify]: iters left: 4 (185 enodes) 137.113 * * [simplify]: Extracting #0: cost 1 inf + 0 137.114 * * [simplify]: Extracting #1: cost 19 inf + 0 137.114 * * [simplify]: Extracting #2: cost 55 inf + 0 137.114 * * [simplify]: Extracting #3: cost 63 inf + 73 137.115 * * [simplify]: Extracting #4: cost 67 inf + 286 137.115 * * [simplify]: Extracting #5: cost 120 inf + 288 137.117 * * [simplify]: Extracting #6: cost 171 inf + 2123 137.122 * * [simplify]: Extracting #7: cost 94 inf + 19079 137.136 * * [simplify]: Extracting #8: cost 12 inf + 46184 137.146 * * [simplify]: Extracting #9: cost 0 inf + 52414 137.156 * * [simplify]: Extracting #10: cost 0 inf + 52213 137.166 * [simplify]: Simplified to (+ (log (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (log (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) J))))) 137.166 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (log (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) J))))))) 137.166 * * * * [progress]: [ 38 / 95 ] simplifiying candidate # 137.166 * * * * [progress]: [ 39 / 95 ] simplifiying candidate # 137.166 * * * * [progress]: [ 40 / 95 ] simplifiying candidate # 137.167 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* -2 -2) -2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (* (cos (/ K 2)) (* (* J J) J)))) 137.167 * * [simplify]: iters left: 6 (25 enodes) 137.174 * * [simplify]: iters left: 5 (108 enodes) 137.218 * * [simplify]: iters left: 4 (295 enodes) 137.426 * * [simplify]: Extracting #0: cost 1 inf + 0 137.426 * * [simplify]: Extracting #1: cost 58 inf + 0 137.428 * * [simplify]: Extracting #2: cost 293 inf + 4 137.430 * * [simplify]: Extracting #3: cost 395 inf + 47 137.440 * * [simplify]: Extracting #4: cost 343 inf + 25407 137.485 * * [simplify]: Extracting #5: cost 95 inf + 112182 137.544 * * [simplify]: Extracting #6: cost 3 inf + 153113 137.596 * * [simplify]: Extracting #7: cost 0 inf + 154392 137.644 * [simplify]: Simplified to (* (* (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (* -8 (cos (/ K 2))) (* (* (cos (/ K 2)) (* (cos (/ K 2)) J)) (* J J)))) 137.644 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (* -8 (cos (/ K 2))) (* (* (cos (/ K 2)) (* (cos (/ K 2)) J)) (* J J)))))) 137.645 * * * * [progress]: [ 41 / 95 ] simplifiying candidate # 137.645 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* -2 -2) -2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (* (* (* (cbrt (cos (/ K 2))) J) (* (cbrt (cos (/ K 2))) J)) (* (cbrt (cos (/ K 2))) J)))) 137.645 * * [simplify]: iters left: 6 (26 enodes) 137.656 * * [simplify]: iters left: 5 (118 enodes) 137.683 * * [simplify]: iters left: 4 (349 enodes) 137.946 * * [simplify]: Extracting #0: cost 1 inf + 0 137.946 * * [simplify]: Extracting #1: cost 77 inf + 0 137.949 * * [simplify]: Extracting #2: cost 374 inf + 4 137.952 * * [simplify]: Extracting #3: cost 494 inf + 128 137.965 * * [simplify]: Extracting #4: cost 426 inf + 35116 138.017 * * [simplify]: Extracting #5: cost 118 inf + 153445 138.085 * * [simplify]: Extracting #6: cost 0 inf + 212922 138.154 * * [simplify]: Extracting #7: cost 0 inf + 212239 138.224 * [simplify]: Simplified to (* (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))) (* (* (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (* -8 (* (* (cos (/ K 2)) J) (cbrt (cos (/ K 2))))) (* (* (cos (/ K 2)) J) (cbrt (cos (/ K 2)))))) (* J (cbrt (cos (/ K 2)))))) 138.224 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))) (* (* (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (* -8 (* (* (cos (/ K 2)) J) (cbrt (cos (/ K 2))))) (* (* (cos (/ K 2)) J) (cbrt (cos (/ K 2)))))) (* J (cbrt (cos (/ K 2)))))))) 138.225 * * * * [progress]: [ 42 / 95 ] simplifiying candidate # 138.225 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* -2 -2) -2)) (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cos (/ K 2)) (* (* J J) J)))) 138.225 * * [simplify]: iters left: 6 (28 enodes) 138.233 * * [simplify]: iters left: 5 (125 enodes) 138.274 * * [simplify]: iters left: 4 (357 enodes) 138.619 * * [simplify]: Extracting #0: cost 1 inf + 0 138.619 * * [simplify]: Extracting #1: cost 102 inf + 0 138.622 * * [simplify]: Extracting #2: cost 482 inf + 126 138.625 * * [simplify]: Extracting #3: cost 618 inf + 617 138.628 * * [simplify]: Extracting #4: cost 697 inf + 1504 138.638 * * [simplify]: Extracting #5: cost 458 inf + 58486 138.680 * * [simplify]: Extracting #6: cost 132 inf + 185696 138.762 * * [simplify]: Extracting #7: cost 2 inf + 255257 138.826 * * [simplify]: Extracting #8: cost 0 inf + 256509 138.915 * [simplify]: Simplified to (* (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (* (* (cos (/ K 2)) (* (* J J) J)) (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) -8)) 138.916 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (* (* (cos (/ K 2)) (* (* J J) J)) (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) -8)))) 138.916 * * * * [progress]: [ 43 / 95 ] simplifiying candidate # 138.916 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* -2 -2) -2)) (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (* (cbrt (cos (/ K 2))) J) (* (cbrt (cos (/ K 2))) J)) (* (cbrt (cos (/ K 2))) J)))) 138.917 * * [simplify]: iters left: 6 (28 enodes) 138.933 * * [simplify]: iters left: 5 (131 enodes) 138.970 * * [simplify]: iters left: 4 (402 enodes) 139.344 * * [simplify]: Extracting #0: cost 1 inf + 0 139.344 * * [simplify]: Extracting #1: cost 110 inf + 0 139.348 * * [simplify]: Extracting #2: cost 514 inf + 4 139.350 * * [simplify]: Extracting #3: cost 647 inf + 129 139.354 * * [simplify]: Extracting #4: cost 727 inf + 944 139.365 * * [simplify]: Extracting #5: cost 556 inf + 39689 139.414 * * [simplify]: Extracting #6: cost 122 inf + 208807 139.519 * * [simplify]: Extracting #7: cost 0 inf + 269273 139.601 * * [simplify]: Extracting #8: cost 0 inf + 269233 139.718 * [simplify]: Simplified to (* (* (* (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) -8) (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))) 139.718 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) -8) (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))))) 139.718 * * * * [progress]: [ 44 / 95 ] simplifiying candidate # 139.718 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* -2 -2) -2)) (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) 139.718 * * [simplify]: iters left: 6 (26 enodes) 139.726 * * [simplify]: iters left: 5 (118 enodes) 139.773 * * [simplify]: iters left: 4 (379 enodes) 140.048 * * [simplify]: Extracting #0: cost 1 inf + 0 140.049 * * [simplify]: Extracting #1: cost 84 inf + 0 140.051 * * [simplify]: Extracting #2: cost 460 inf + 45 140.055 * * [simplify]: Extracting #3: cost 579 inf + 88 140.060 * * [simplify]: Extracting #4: cost 633 inf + 553 140.079 * * [simplify]: Extracting #5: cost 493 inf + 38756 140.128 * * [simplify]: Extracting #6: cost 296 inf + 110532 140.218 * * [simplify]: Extracting #7: cost 122 inf + 201381 140.342 * * [simplify]: Extracting #8: cost 1 inf + 278543 140.490 * * [simplify]: Extracting #9: cost 0 inf + 279329 140.630 * [simplify]: Simplified to (* (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2))))) (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2))))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2)))))) (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) -8) (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) 140.630 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2))))) (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2))))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2)))))) (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) -8) (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))))) 140.630 * * * * [progress]: [ 45 / 95 ] simplifiying candidate # 140.630 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (* (cos (/ K 2)) (* (* J J) J)))) 140.631 * * [simplify]: iters left: 6 (23 enodes) 140.638 * * [simplify]: iters left: 5 (108 enodes) 140.673 * * [simplify]: iters left: 4 (276 enodes) 140.800 * * [simplify]: Extracting #0: cost 1 inf + 0 140.800 * * [simplify]: Extracting #1: cost 50 inf + 0 140.801 * * [simplify]: Extracting #2: cost 244 inf + 2 140.802 * * [simplify]: Extracting #3: cost 249 inf + 976 140.804 * * [simplify]: Extracting #4: cost 282 inf + 2844 140.817 * * [simplify]: Extracting #5: cost 241 inf + 39933 140.846 * * [simplify]: Extracting #6: cost 58 inf + 112943 140.895 * * [simplify]: Extracting #7: cost 0 inf + 129175 140.952 * * [simplify]: Extracting #8: cost 0 inf + 128032 141.003 * * [simplify]: Extracting #9: cost 0 inf + 127991 141.069 * [simplify]: Simplified to (* (* (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* J (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))) (cos (/ K 2))) (* (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) -8)) 141.069 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* J (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))) (cos (/ K 2))) (* (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) -8)))) 141.069 * * * * [progress]: [ 46 / 95 ] simplifiying candidate # 141.069 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (* (* (* (cbrt (cos (/ K 2))) J) (* (cbrt (cos (/ K 2))) J)) (* (cbrt (cos (/ K 2))) J)))) 141.069 * * [simplify]: iters left: 6 (24 enodes) 141.077 * * [simplify]: iters left: 5 (118 enodes) 141.108 * * [simplify]: iters left: 4 (331 enodes) 141.286 * * [simplify]: Extracting #0: cost 1 inf + 0 141.286 * * [simplify]: Extracting #1: cost 69 inf + 0 141.288 * * [simplify]: Extracting #2: cost 331 inf + 43 141.290 * * [simplify]: Extracting #3: cost 350 inf + 249 141.294 * * [simplify]: Extracting #4: cost 384 inf + 2295 141.320 * * [simplify]: Extracting #5: cost 277 inf + 71659 141.393 * * [simplify]: Extracting #6: cost 25 inf + 178091 141.448 * * [simplify]: Extracting #7: cost 0 inf + 186746 141.542 * * [simplify]: Extracting #8: cost 0 inf + 186706 141.608 * [simplify]: Simplified to (* (* (* (* J (cbrt (cos (/ K 2)))) (sqrt (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) -8)) (* (* (* (cos (/ K 2)) J) (cbrt (cos (/ K 2)))) (* (* (cos (/ K 2)) J) (cbrt (cos (/ K 2)))))) 141.608 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (* J (cbrt (cos (/ K 2)))) (sqrt (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) -8)) (* (* (* (cos (/ K 2)) J) (cbrt (cos (/ K 2)))) (* (* (cos (/ K 2)) J) (cbrt (cos (/ K 2)))))))) 141.608 * * * * [progress]: [ 47 / 95 ] simplifiying candidate # 141.609 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cos (/ K 2)) (* (* J J) J)))) 141.609 * * [simplify]: iters left: 6 (26 enodes) 141.624 * * [simplify]: iters left: 5 (125 enodes) 141.656 * * [simplify]: iters left: 4 (334 enodes) 141.862 * * [simplify]: Extracting #0: cost 1 inf + 0 141.862 * * [simplify]: Extracting #1: cost 76 inf + 0 141.865 * * [simplify]: Extracting #2: cost 393 inf + 124 141.874 * * [simplify]: Extracting #3: cost 430 inf + 372 141.878 * * [simplify]: Extracting #4: cost 482 inf + 1030 141.909 * * [simplify]: Extracting #5: cost 359 inf + 78270 142.009 * * [simplify]: Extracting #6: cost 13 inf + 215453 142.119 * * [simplify]: Extracting #7: cost 0 inf + 219842 142.196 * * [simplify]: Extracting #8: cost 0 inf + 219802 142.298 * [simplify]: Simplified to (* (* (* (* J (* J J)) (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* -8 (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* (cos (/ K 2)) (cos (/ K 2))))) 142.298 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (* J (* J J)) (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* -8 (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* (cos (/ K 2)) (cos (/ K 2))))))) 142.298 * * * * [progress]: [ 48 / 95 ] simplifiying candidate # 142.298 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (* (cbrt (cos (/ K 2))) J) (* (cbrt (cos (/ K 2))) J)) (* (cbrt (cos (/ K 2))) J)))) 142.298 * * [simplify]: iters left: 6 (26 enodes) 142.306 * * [simplify]: iters left: 5 (131 enodes) 142.346 * * [simplify]: iters left: 4 (380 enodes) 142.612 * * [simplify]: Extracting #0: cost 1 inf + 0 142.612 * * [simplify]: Extracting #1: cost 84 inf + 0 142.615 * * [simplify]: Extracting #2: cost 413 inf + 43 142.617 * * [simplify]: Extracting #3: cost 439 inf + 462 142.619 * * [simplify]: Extracting #4: cost 490 inf + 652 142.632 * * [simplify]: Extracting #5: cost 400 inf + 66248 142.730 * * [simplify]: Extracting #6: cost 19 inf + 227318 142.848 * * [simplify]: Extracting #7: cost 0 inf + 232690 142.938 * * [simplify]: Extracting #8: cost 0 inf + 231088 143.030 * * [simplify]: Extracting #9: cost 0 inf + 230928 143.124 * [simplify]: Simplified to (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* -8 (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))))) 143.124 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* -8 (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))))))) 143.124 * * * * [progress]: [ 49 / 95 ] simplifiying candidate # 143.125 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) 143.125 * * [simplify]: iters left: 6 (24 enodes) 143.133 * * [simplify]: iters left: 5 (118 enodes) 143.181 * * [simplify]: iters left: 4 (363 enodes) 143.459 * * [simplify]: Extracting #0: cost 1 inf + 0 143.459 * * [simplify]: Extracting #1: cost 74 inf + 0 143.461 * * [simplify]: Extracting #2: cost 401 inf + 43 143.463 * * [simplify]: Extracting #3: cost 413 inf + 87 143.465 * * [simplify]: Extracting #4: cost 465 inf + 301 143.489 * * [simplify]: Extracting #5: cost 350 inf + 75376 143.594 * * [simplify]: Extracting #6: cost 25 inf + 235291 143.709 * * [simplify]: Extracting #7: cost 0 inf + 243902 143.816 * * [simplify]: Extracting #8: cost 0 inf + 243781 143.954 * [simplify]: Simplified to (* (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2))))) (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) -8)) (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2))))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2))))))) 143.954 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2))))) (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) -8)) (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2))))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2))))))))) 143.954 * * * * [progress]: [ 50 / 95 ] simplifiying candidate # 143.954 * * * * [progress]: [ 51 / 95 ] simplifiying candidate # 143.954 * * * * [progress]: [ 52 / 95 ] simplifiying candidate # 143.954 * * * * [progress]: [ 53 / 95 ] simplifiying candidate # 143.954 * * * * [progress]: [ 54 / 95 ] simplifiying candidate # 143.955 * [simplify]: Simplifying (* (cbrt (cos (/ K 2))) J) 143.955 * * [simplify]: iters left: 6 (7 enodes) 143.959 * * [simplify]: iters left: 5 (22 enodes) 143.965 * * [simplify]: Extracting #0: cost 1 inf + 0 143.965 * * [simplify]: Extracting #1: cost 4 inf + 0 143.966 * * [simplify]: Extracting #2: cost 5 inf + 1 143.966 * * [simplify]: Extracting #3: cost 7 inf + 1 143.966 * * [simplify]: Extracting #4: cost 10 inf + 1 143.966 * * [simplify]: Extracting #5: cost 8 inf + 3 143.966 * * [simplify]: Extracting #6: cost 1 inf + 878 143.966 * * [simplify]: Extracting #7: cost 0 inf + 1101 143.967 * [simplify]: Simplified to (* (cbrt (cos (/ K 2))) J) 143.967 * [simplify]: Simplified (2 2) to (λ (J K U) (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) J))) 143.967 * * * * [progress]: [ 55 / 95 ] simplifiying candidate # 143.967 * [simplify]: Simplifying (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 143.967 * * [simplify]: iters left: 6 (13 enodes) 143.974 * * [simplify]: iters left: 5 (52 enodes) 143.992 * * [simplify]: iters left: 4 (105 enodes) 144.030 * * [simplify]: iters left: 3 (359 enodes) 144.236 * * [simplify]: Extracting #0: cost 1 inf + 0 144.236 * * [simplify]: Extracting #1: cost 3 inf + 0 144.236 * * [simplify]: Extracting #2: cost 6 inf + 0 144.236 * * [simplify]: Extracting #3: cost 118 inf + 1 144.238 * * [simplify]: Extracting #4: cost 235 inf + 336 144.239 * * [simplify]: Extracting #5: cost 193 inf + 4402 144.243 * * [simplify]: Extracting #6: cost 119 inf + 19348 144.256 * * [simplify]: Extracting #7: cost 7 inf + 46040 144.286 * * [simplify]: Extracting #8: cost 0 inf + 47488 144.317 * [simplify]: Simplified to (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 144.317 * [simplify]: Simplified (2 1) to (λ (J K U) (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* -2 (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))))) 144.317 * * * * [progress]: [ 56 / 95 ] simplifiying candidate # 144.317 * [simplify]: Simplifying (* (* (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))) 144.318 * * [simplify]: iters left: 6 (23 enodes) 144.334 * * [simplify]: iters left: 5 (103 enodes) 144.356 * * [simplify]: iters left: 4 (262 enodes) 144.548 * * [simplify]: Extracting #0: cost 1 inf + 0 144.548 * * [simplify]: Extracting #1: cost 25 inf + 0 144.549 * * [simplify]: Extracting #2: cost 65 inf + 2 144.549 * * [simplify]: Extracting #3: cost 69 inf + 87 144.550 * * [simplify]: Extracting #4: cost 167 inf + 88 144.558 * * [simplify]: Extracting #5: cost 373 inf + 1170 144.570 * * [simplify]: Extracting #6: cost 285 inf + 43405 144.625 * * [simplify]: Extracting #7: cost 17 inf + 136414 144.688 * * [simplify]: Extracting #8: cost 0 inf + 142053 144.729 * * [simplify]: Extracting #9: cost 0 inf + 141884 144.799 * [simplify]: Simplified to (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) -2) (* (cbrt (cos (/ K 2))) (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))))) 144.800 * [simplify]: Simplified (2 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) -2) (* (cbrt (cos (/ K 2))) (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))))) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) 144.800 * * * * [progress]: [ 57 / 95 ] simplifiying candidate # 144.800 * [simplify]: Simplifying (* (* (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* 1 1))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))) 144.801 * * [simplify]: iters left: 6 (22 enodes) 144.813 * * [simplify]: iters left: 5 (95 enodes) 144.848 * * [simplify]: iters left: 4 (237 enodes) 144.986 * * [simplify]: Extracting #0: cost 1 inf + 0 144.986 * * [simplify]: Extracting #1: cost 25 inf + 0 144.987 * * [simplify]: Extracting #2: cost 65 inf + 2 144.987 * * [simplify]: Extracting #3: cost 72 inf + 87 144.987 * * [simplify]: Extracting #4: cost 168 inf + 89 144.988 * * [simplify]: Extracting #5: cost 346 inf + 1339 144.997 * * [simplify]: Extracting #6: cost 175 inf + 52242 145.035 * * [simplify]: Extracting #7: cost 13 inf + 107545 145.064 * * [simplify]: Extracting #8: cost 0 inf + 112935 145.117 * [simplify]: Simplified to (* (* (* J (cbrt (cos (/ K 2)))) (sqrt (- (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) -2)) 145.117 * [simplify]: Simplified (2 1) to (λ (J K U) (/ (* (* (* J (cbrt (cos (/ K 2)))) (sqrt (- (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) -2)) (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) 145.117 * * * * [progress]: [ 58 / 95 ] simplifiying candidate #real (real->posit16 (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))))))> 145.117 * * * * [progress]: [ 59 / 95 ] simplifiying candidate # 145.117 * * * * [progress]: [ 60 / 95 ] simplifiying candidate # 145.118 * * * * [progress]: [ 61 / 95 ] simplifiying candidate # 145.118 * * * * [progress]: [ 62 / 95 ] simplifiying candidate # 145.118 * * * * [progress]: [ 63 / 95 ] simplifiying candidate # 145.118 * * * * [progress]: [ 64 / 95 ] simplifiying candidate # 145.118 * [simplify]: Simplifying (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) 145.118 * * [simplify]: iters left: 6 (7 enodes) 145.122 * * [simplify]: iters left: 5 (21 enodes) 145.129 * * [simplify]: Extracting #0: cost 1 inf + 0 145.129 * * [simplify]: Extracting #1: cost 3 inf + 0 145.129 * * [simplify]: Extracting #2: cost 5 inf + 0 145.129 * * [simplify]: Extracting #3: cost 7 inf + 0 145.129 * * [simplify]: Extracting #4: cost 9 inf + 0 145.130 * * [simplify]: Extracting #5: cost 12 inf + 0 145.130 * * [simplify]: Extracting #6: cost 10 inf + 2 145.130 * * [simplify]: Extracting #7: cost 1 inf + 1400 145.130 * * [simplify]: Extracting #8: cost 0 inf + 1702 145.131 * [simplify]: Simplified to (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) 145.131 * [simplify]: Simplified (2 2 2 1 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))) J)))) 145.131 * * * * [progress]: [ 65 / 95 ] simplifiying candidate # 145.132 * [simplify]: Simplifying (cbrt (sqrt (cos (/ K 2)))) 145.132 * * [simplify]: iters left: 5 (6 enodes) 145.135 * * [simplify]: iters left: 4 (18 enodes) 145.141 * * [simplify]: Extracting #0: cost 1 inf + 0 145.141 * * [simplify]: Extracting #1: cost 3 inf + 0 145.141 * * [simplify]: Extracting #2: cost 5 inf + 0 145.141 * * [simplify]: Extracting #3: cost 7 inf + 0 145.141 * * [simplify]: Extracting #4: cost 10 inf + 0 145.141 * * [simplify]: Extracting #5: cost 8 inf + 2 145.141 * * [simplify]: Extracting #6: cost 0 inf + 1018 145.142 * [simplify]: Simplified to (cbrt (sqrt (cos (/ K 2)))) 145.142 * [simplify]: Simplified (2 2 2 1 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (* (cbrt (sqrt (cos (/ K 2)))) (cbrt (sqrt (cos (/ K 2))))) J)))) 145.142 * * * * [progress]: [ 66 / 95 ] simplifiying candidate # 145.142 * [simplify]: Simplifying (cbrt 1) 145.142 * * [simplify]: iters left: 1 (2 enodes) 145.145 * * [simplify]: Extracting #0: cost 1 inf + 0 145.145 * * [simplify]: Extracting #1: cost 0 inf + 1 145.145 * [simplify]: Simplified to 1 145.145 * [simplify]: Simplified (2 2 2 1 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (* 1 (cbrt (cos (/ K 2)))) J)))) 145.146 * * * * [progress]: [ 67 / 95 ] simplifiying candidate # 145.146 * * * * [progress]: [ 68 / 95 ] simplifiying candidate # 145.146 * * * * [progress]: [ 69 / 95 ] simplifiying candidate # 145.146 * * * * [progress]: [ 70 / 95 ] simplifiying candidate # 145.146 * * * * [progress]: [ 71 / 95 ] simplifiying candidate #real (real->posit16 (cbrt (cos (/ K 2))))) J))))> 145.146 * * * * [progress]: [ 72 / 95 ] simplifiying candidate # 145.146 * * * * [progress]: [ 73 / 95 ] simplifiying candidate # 145.146 * * * * [progress]: [ 74 / 95 ] simplifiying candidate # 145.146 * * * * [progress]: [ 75 / 95 ] simplifiying candidate # 145.146 * * * * [progress]: [ 76 / 95 ] simplifiying candidate # 145.146 * [simplify]: Simplifying (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) 145.147 * * [simplify]: iters left: 6 (7 enodes) 145.150 * * [simplify]: iters left: 5 (21 enodes) 145.156 * * [simplify]: Extracting #0: cost 1 inf + 0 145.156 * * [simplify]: Extracting #1: cost 3 inf + 0 145.156 * * [simplify]: Extracting #2: cost 5 inf + 0 145.156 * * [simplify]: Extracting #3: cost 7 inf + 0 145.156 * * [simplify]: Extracting #4: cost 9 inf + 0 145.156 * * [simplify]: Extracting #5: cost 12 inf + 0 145.157 * * [simplify]: Extracting #6: cost 10 inf + 2 145.157 * * [simplify]: Extracting #7: cost 1 inf + 1400 145.157 * * [simplify]: Extracting #8: cost 0 inf + 1702 145.158 * [simplify]: Simplified to (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) 145.158 * [simplify]: Simplified (2 2 1 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J)))) 145.158 * * * * [progress]: [ 77 / 95 ] simplifiying candidate # 145.158 * [simplify]: Simplifying (cbrt (sqrt (cos (/ K 2)))) 145.159 * * [simplify]: iters left: 5 (6 enodes) 145.161 * * [simplify]: iters left: 4 (18 enodes) 145.164 * * [simplify]: Extracting #0: cost 1 inf + 0 145.164 * * [simplify]: Extracting #1: cost 3 inf + 0 145.164 * * [simplify]: Extracting #2: cost 5 inf + 0 145.164 * * [simplify]: Extracting #3: cost 7 inf + 0 145.164 * * [simplify]: Extracting #4: cost 10 inf + 0 145.164 * * [simplify]: Extracting #5: cost 8 inf + 2 145.164 * * [simplify]: Extracting #6: cost 0 inf + 1018 145.164 * [simplify]: Simplified to (cbrt (sqrt (cos (/ K 2)))) 145.164 * [simplify]: Simplified (2 2 1 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (* (cbrt (sqrt (cos (/ K 2)))) (cbrt (sqrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J)))) 145.164 * * * * [progress]: [ 78 / 95 ] simplifiying candidate # 145.165 * [simplify]: Simplifying (cbrt 1) 145.165 * * [simplify]: iters left: 1 (2 enodes) 145.167 * * [simplify]: Extracting #0: cost 1 inf + 0 145.167 * * [simplify]: Extracting #1: cost 0 inf + 1 145.167 * [simplify]: Simplified to 1 145.167 * [simplify]: Simplified (2 2 1 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (* 1 (cbrt (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) J)))) 145.167 * * * * [progress]: [ 79 / 95 ] simplifiying candidate # 145.167 * * * * [progress]: [ 80 / 95 ] simplifiying candidate # 145.167 * * * * [progress]: [ 81 / 95 ] simplifiying candidate # 145.167 * * * * [progress]: [ 82 / 95 ] simplifiying candidate # 145.167 * * * * [progress]: [ 83 / 95 ] simplifiying candidate #real (real->posit16 (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J))))> 145.167 * * * * [progress]: [ 84 / 95 ] simplifiying candidate # 145.167 * [simplify]: Simplifying 1 145.167 * * [simplify]: iters left: 0 (1 enodes) 145.168 * * [simplify]: Extracting #0: cost 1 inf + 0 145.168 * * [simplify]: Extracting #1: cost 0 inf + 1 145.168 * [simplify]: Simplified to 1 145.168 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* 1 -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) 145.168 * * * * [progress]: [ 85 / 95 ] simplifiying candidate # 145.168 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 145.168 * * [simplify]: iters left: 6 (9 enodes) 145.171 * * [simplify]: iters left: 5 (34 enodes) 145.176 * * [simplify]: iters left: 4 (56 enodes) 145.185 * * [simplify]: iters left: 3 (90 enodes) 145.199 * * [simplify]: iters left: 2 (114 enodes) 145.222 * * [simplify]: iters left: 1 (131 enodes) 145.260 * * [simplify]: Extracting #0: cost 1 inf + 0 145.260 * * [simplify]: Extracting #1: cost 22 inf + 0 145.260 * * [simplify]: Extracting #2: cost 37 inf + 3 145.260 * * [simplify]: Extracting #3: cost 31 inf + 380 145.261 * * [simplify]: Extracting #4: cost 17 inf + 1834 145.263 * * [simplify]: Extracting #5: cost 3 inf + 4117 145.265 * * [simplify]: Extracting #6: cost 0 inf + 4586 145.267 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 145.267 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) 145.268 * * * * [progress]: [ 86 / 95 ] simplifiying candidate # 145.268 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 145.268 * * [simplify]: iters left: 6 (9 enodes) 145.273 * * [simplify]: iters left: 5 (34 enodes) 145.280 * * [simplify]: iters left: 4 (56 enodes) 145.289 * * [simplify]: iters left: 3 (90 enodes) 145.303 * * [simplify]: iters left: 2 (114 enodes) 145.320 * * [simplify]: iters left: 1 (131 enodes) 145.350 * * [simplify]: Extracting #0: cost 1 inf + 0 145.350 * * [simplify]: Extracting #1: cost 22 inf + 0 145.350 * * [simplify]: Extracting #2: cost 37 inf + 3 145.351 * * [simplify]: Extracting #3: cost 31 inf + 380 145.352 * * [simplify]: Extracting #4: cost 17 inf + 1834 145.353 * * [simplify]: Extracting #5: cost 3 inf + 4117 145.356 * * [simplify]: Extracting #6: cost 0 inf + 4586 145.358 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 145.358 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) 145.358 * * * * [progress]: [ 87 / 95 ] simplifiying candidate # 145.358 * [simplify]: Simplifying (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 145.359 * * [simplify]: iters left: 6 (10 enodes) 145.365 * * [simplify]: iters left: 5 (43 enodes) 145.380 * * [simplify]: iters left: 4 (79 enodes) 145.405 * * [simplify]: iters left: 3 (118 enodes) 145.435 * * [simplify]: iters left: 2 (171 enodes) 145.472 * * [simplify]: iters left: 1 (242 enodes) 145.526 * * [simplify]: Extracting #0: cost 1 inf + 0 145.526 * * [simplify]: Extracting #1: cost 6 inf + 0 145.526 * * [simplify]: Extracting #2: cost 41 inf + 0 145.526 * * [simplify]: Extracting #3: cost 56 inf + 213 145.527 * * [simplify]: Extracting #4: cost 20 inf + 2732 145.529 * * [simplify]: Extracting #5: cost 1 inf + 4576 145.530 * * [simplify]: Extracting #6: cost 0 inf + 4698 145.531 * [simplify]: Simplified to (- (* -2 J) (/ (* U U) (/ J 1/4))) 145.531 * [simplify]: Simplified (2) to (λ (J K U) (- (* -2 J) (/ (* U U) (/ J 1/4)))) 145.532 * * * * [progress]: [ 88 / 95 ] simplifiying candidate # 145.532 * [simplify]: Simplifying (* -1 U) 145.532 * * [simplify]: iters left: 2 (3 enodes) 145.533 * * [simplify]: iters left: 1 (11 enodes) 145.535 * * [simplify]: Extracting #0: cost 1 inf + 0 145.535 * * [simplify]: Extracting #1: cost 4 inf + 0 145.535 * * [simplify]: Extracting #2: cost 0 inf + 84 145.535 * [simplify]: Simplified to (- U) 145.535 * [simplify]: Simplified (2) to (λ (J K U) (- U)) 145.535 * * * * [progress]: [ 89 / 95 ] simplifiying candidate # 145.536 * [simplify]: Simplifying (* -1 U) 145.536 * * [simplify]: iters left: 2 (3 enodes) 145.537 * * [simplify]: iters left: 1 (11 enodes) 145.538 * * [simplify]: Extracting #0: cost 1 inf + 0 145.539 * * [simplify]: Extracting #1: cost 4 inf + 0 145.539 * * [simplify]: Extracting #2: cost 0 inf + 84 145.539 * [simplify]: Simplified to (- U) 145.539 * [simplify]: Simplified (2) to (λ (J K U) (- U)) 145.539 * * * * [progress]: [ 90 / 95 ] simplifiying candidate # 145.539 * [simplify]: Simplifying (- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2)))) 145.539 * * [simplify]: iters left: 6 (12 enodes) 145.544 * * [simplify]: iters left: 5 (52 enodes) 145.560 * * [simplify]: iters left: 4 (73 enodes) 145.587 * * [simplify]: iters left: 3 (117 enodes) 145.608 * * [simplify]: iters left: 2 (156 enodes) 145.635 * * [simplify]: iters left: 1 (207 enodes) 145.676 * * [simplify]: Extracting #0: cost 1 inf + 0 145.676 * * [simplify]: Extracting #1: cost 18 inf + 0 145.676 * * [simplify]: Extracting #2: cost 39 inf + 2 145.676 * * [simplify]: Extracting #3: cost 43 inf + 213 145.678 * * [simplify]: Extracting #4: cost 14 inf + 3555 145.681 * * [simplify]: Extracting #5: cost 0 inf + 5789 145.682 * [simplify]: Simplified to (- (* (* (* K K) (* K K)) -1/1152) (- (* 1/24 (* K K)) 1)) 145.682 * [simplify]: Simplified (2 2 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (- (* (* (* K K) (* K K)) -1/1152) (- (* 1/24 (* K K)) 1)) J)))) 145.682 * * * * [progress]: [ 91 / 95 ] simplifiying candidate # 145.683 * [simplify]: Simplifying (pow (cos (* 1/2 K)) 1/3) 145.683 * * [simplify]: iters left: 4 (6 enodes) 145.686 * * [simplify]: iters left: 3 (25 enodes) 145.691 * * [simplify]: iters left: 2 (39 enodes) 145.704 * * [simplify]: iters left: 1 (69 enodes) 145.717 * * [simplify]: Extracting #0: cost 1 inf + 0 145.717 * * [simplify]: Extracting #1: cost 9 inf + 0 145.717 * * [simplify]: Extracting #2: cost 23 inf + 1 145.717 * * [simplify]: Extracting #3: cost 23 inf + 5 145.717 * * [simplify]: Extracting #4: cost 20 inf + 8 145.717 * * [simplify]: Extracting #5: cost 9 inf + 2778 145.718 * * [simplify]: Extracting #6: cost 0 inf + 6930 145.719 * [simplify]: Simplified to (cbrt (cos (* 1/2 K))) 145.719 * [simplify]: Simplified (2 2 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (* 1/2 K))) J)))) 145.719 * * * * [progress]: [ 92 / 95 ] simplifiying candidate # 145.719 * [simplify]: Simplifying (pow (cos (* 1/2 K)) 1/3) 145.719 * * [simplify]: iters left: 4 (6 enodes) 145.721 * * [simplify]: iters left: 3 (25 enodes) 145.726 * * [simplify]: iters left: 2 (39 enodes) 145.735 * * [simplify]: iters left: 1 (69 enodes) 145.757 * * [simplify]: Extracting #0: cost 1 inf + 0 145.757 * * [simplify]: Extracting #1: cost 9 inf + 0 145.758 * * [simplify]: Extracting #2: cost 23 inf + 1 145.758 * * [simplify]: Extracting #3: cost 23 inf + 5 145.758 * * [simplify]: Extracting #4: cost 20 inf + 8 145.758 * * [simplify]: Extracting #5: cost 9 inf + 2778 145.759 * * [simplify]: Extracting #6: cost 0 inf + 6930 145.761 * [simplify]: Simplified to (cbrt (cos (* 1/2 K))) 145.761 * [simplify]: Simplified (2 2 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (* 1/2 K))) J)))) 145.761 * * * * [progress]: [ 93 / 95 ] simplifiying candidate # 145.761 * [simplify]: Simplifying (- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2)))) 145.761 * * [simplify]: iters left: 6 (12 enodes) 145.770 * * [simplify]: iters left: 5 (52 enodes) 145.786 * * [simplify]: iters left: 4 (73 enodes) 145.810 * * [simplify]: iters left: 3 (117 enodes) 145.849 * * [simplify]: iters left: 2 (156 enodes) 145.873 * * [simplify]: iters left: 1 (207 enodes) 145.938 * * [simplify]: Extracting #0: cost 1 inf + 0 145.938 * * [simplify]: Extracting #1: cost 18 inf + 0 145.938 * * [simplify]: Extracting #2: cost 39 inf + 2 145.939 * * [simplify]: Extracting #3: cost 43 inf + 213 145.940 * * [simplify]: Extracting #4: cost 14 inf + 3555 145.943 * * [simplify]: Extracting #5: cost 0 inf + 5789 145.947 * [simplify]: Simplified to (- (* (* (* K K) (* K K)) -1/1152) (- (* 1/24 (* K K)) 1)) 145.947 * [simplify]: Simplified (2 2 1 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (- (* (* (* K K) (* K K)) -1/1152) (- (* 1/24 (* K K)) 1))) (* (cbrt (cos (/ K 2))) J)))) 145.947 * * * * [progress]: [ 94 / 95 ] simplifiying candidate # 145.947 * [simplify]: Simplifying (pow (cos (* 1/2 K)) 1/3) 145.947 * * [simplify]: iters left: 4 (6 enodes) 145.952 * * [simplify]: iters left: 3 (25 enodes) 145.961 * * [simplify]: iters left: 2 (39 enodes) 145.978 * * [simplify]: iters left: 1 (69 enodes) 146.002 * * [simplify]: Extracting #0: cost 1 inf + 0 146.002 * * [simplify]: Extracting #1: cost 9 inf + 0 146.002 * * [simplify]: Extracting #2: cost 23 inf + 1 146.002 * * [simplify]: Extracting #3: cost 23 inf + 5 146.003 * * [simplify]: Extracting #4: cost 20 inf + 8 146.003 * * [simplify]: Extracting #5: cost 9 inf + 2778 146.004 * * [simplify]: Extracting #6: cost 0 inf + 6930 146.006 * [simplify]: Simplified to (cbrt (cos (* 1/2 K))) 146.006 * [simplify]: Simplified (2 2 1 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (* 1/2 K)))) (* (cbrt (cos (/ K 2))) J)))) 146.006 * * * * [progress]: [ 95 / 95 ] simplifiying candidate # 146.006 * [simplify]: Simplifying (pow (cos (* 1/2 K)) 1/3) 146.006 * * [simplify]: iters left: 4 (6 enodes) 146.011 * * [simplify]: iters left: 3 (25 enodes) 146.021 * * [simplify]: iters left: 2 (39 enodes) 146.037 * * [simplify]: iters left: 1 (69 enodes) 146.062 * * [simplify]: Extracting #0: cost 1 inf + 0 146.062 * * [simplify]: Extracting #1: cost 9 inf + 0 146.062 * * [simplify]: Extracting #2: cost 23 inf + 1 146.062 * * [simplify]: Extracting #3: cost 23 inf + 5 146.063 * * [simplify]: Extracting #4: cost 20 inf + 8 146.063 * * [simplify]: Extracting #5: cost 9 inf + 2778 146.064 * * [simplify]: Extracting #6: cost 0 inf + 6930 146.065 * [simplify]: Simplified to (cbrt (cos (* 1/2 K))) 146.065 * [simplify]: Simplified (2 2 1 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (* 1/2 K)))) (* (cbrt (cos (/ K 2))) J)))) 146.065 * * * [progress]: adding candidates to table 147.537 * [progress]: [Phase 3 of 3] Extracting. 147.538 * * [regime]: Finding splitpoints for: (# #real (real->posit16 (* (cos (/ K 2)) J)))))) 1)) -2) (cos (/ K 2))) J))> # # # # # # # # #) 147.545 * * * [regime-changes]: Trying 5 branch expressions: (U K (/ K 2) (cos (/ K 2)) J) 147.545 * * * * [regimes]: Trying to branch on U from (# #real (real->posit16 (* (cos (/ K 2)) J)))))) 1)) -2) (cos (/ K 2))) J))> # # # # # # # # #) 147.690 * * * * [regimes]: Trying to branch on K from (# #real (real->posit16 (* (cos (/ K 2)) J)))))) 1)) -2) (cos (/ K 2))) J))> # # # # # # # # #) 147.811 * * * * [regimes]: Trying to branch on (/ K 2) from (# #real (real->posit16 (* (cos (/ K 2)) J)))))) 1)) -2) (cos (/ K 2))) J))> # # # # # # # # #) 147.951 * * * * [regimes]: Trying to branch on (cos (/ K 2)) from (# #real (real->posit16 (* (cos (/ K 2)) J)))))) 1)) -2) (cos (/ K 2))) J))> # # # # # # # # #) 148.062 * * * * [regimes]: Trying to branch on J from (# #real (real->posit16 (* (cos (/ K 2)) J)))))) 1)) -2) (cos (/ K 2))) J))> # # # # # # # # #) 148.195 * * * [regime]: Found split indices: #