0.001 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.174 * * * [progress]: [2/2] Setting up program. 0.178 * [progress]: [Phase 2 of 3] Improving. 0.178 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.178 * [simplify]: Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 0.178 * * [simplify]: iters left: 6 (17 enodes) 0.183 * * [simplify]: iters left: 5 (70 enodes) 0.196 * * [simplify]: iters left: 4 (126 enodes) 0.243 * * [simplify]: iters left: 3 (281 enodes) 0.334 * * [simplify]: Extracting #0: cost 1 inf + 0 0.334 * * [simplify]: Extracting #1: cost 16 inf + 0 0.334 * * [simplify]: Extracting #2: cost 28 inf + 2 0.334 * * [simplify]: Extracting #3: cost 32 inf + 86 0.334 * * [simplify]: Extracting #4: cost 96 inf + 131 0.335 * * [simplify]: Extracting #5: cost 194 inf + 1852 0.340 * * [simplify]: Extracting #6: cost 83 inf + 25392 0.349 * * [simplify]: Extracting #7: cost 12 inf + 46431 0.361 * * [simplify]: Extracting #8: cost 1 inf + 50227 0.372 * * [simplify]: Extracting #9: cost 0 inf + 50662 0.386 * [simplify]: Simplified to (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)) 0.386 * [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))) 0.394 * * [progress]: iteration 1 / 4 0.394 * * * [progress]: picking best candidate 0.400 * * * * [pick]: Picked # 0.400 * * * [progress]: localizing error 0.458 * * * [progress]: generating rewritten candidates 0.459 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 0.621 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.930 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 1.062 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.080 * * * [progress]: generating series expansions 1.080 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 1.080 * [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)) 1.081 * [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 1.081 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 1.081 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 1.081 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 1.081 * [taylor]: Taking taylor expansion of 1/4 in J 1.081 * [backup-simplify]: Simplify 1/4 into 1/4 1.081 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 1.081 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.081 * [taylor]: Taking taylor expansion of U in J 1.081 * [backup-simplify]: Simplify U into U 1.081 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 1.081 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 1.081 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.081 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.081 * [taylor]: Taking taylor expansion of 1/2 in J 1.081 * [backup-simplify]: Simplify 1/2 into 1/2 1.081 * [taylor]: Taking taylor expansion of K in J 1.081 * [backup-simplify]: Simplify K into K 1.081 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.081 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.081 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.081 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.081 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.082 * [backup-simplify]: Simplify (- 0) into 0 1.082 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.082 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.082 * [taylor]: Taking taylor expansion of J in J 1.082 * [backup-simplify]: Simplify 0 into 0 1.082 * [backup-simplify]: Simplify 1 into 1 1.082 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.083 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.083 * [backup-simplify]: Simplify (* 1 1) into 1 1.083 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 1.083 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 1.083 * [taylor]: Taking taylor expansion of 1 in J 1.083 * [backup-simplify]: Simplify 1 into 1 1.084 * [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))) 1.084 * [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))) 1.084 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 1.084 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.085 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.086 * [backup-simplify]: Simplify (+ 0) into 0 1.086 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.087 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.087 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.088 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.088 * [backup-simplify]: Simplify (- 0) into 0 1.089 * [backup-simplify]: Simplify (+ 0 0) into 0 1.089 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 1.089 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 1.090 * [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 1.090 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 1.091 * [backup-simplify]: Simplify (+ 0 0) into 0 1.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 1.091 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 1.091 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 1.091 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 1.091 * [taylor]: Taking taylor expansion of 1/4 in K 1.091 * [backup-simplify]: Simplify 1/4 into 1/4 1.091 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 1.091 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.091 * [taylor]: Taking taylor expansion of U in K 1.091 * [backup-simplify]: Simplify U into U 1.091 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 1.091 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 1.091 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.091 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.091 * [taylor]: Taking taylor expansion of 1/2 in K 1.091 * [backup-simplify]: Simplify 1/2 into 1/2 1.091 * [taylor]: Taking taylor expansion of K in K 1.091 * [backup-simplify]: Simplify 0 into 0 1.091 * [backup-simplify]: Simplify 1 into 1 1.092 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.093 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.093 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.093 * [taylor]: Taking taylor expansion of J in K 1.093 * [backup-simplify]: Simplify J into J 1.093 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.093 * [backup-simplify]: Simplify (* 1 1) into 1 1.093 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.093 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 1.093 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 1.094 * [taylor]: Taking taylor expansion of 1 in K 1.094 * [backup-simplify]: Simplify 1 into 1 1.094 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 1.094 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1.094 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 1.094 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.094 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.095 * [backup-simplify]: Simplify (+ 0) into 0 1.096 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.096 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 1.097 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 1.097 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 1.098 * [backup-simplify]: Simplify (+ 0 0) into 0 1.098 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 1.098 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 1.098 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 1.098 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 1.098 * [taylor]: Taking taylor expansion of 1/4 in U 1.098 * [backup-simplify]: Simplify 1/4 into 1/4 1.098 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 1.098 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.098 * [taylor]: Taking taylor expansion of U in U 1.098 * [backup-simplify]: Simplify 0 into 0 1.098 * [backup-simplify]: Simplify 1 into 1 1.098 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 1.098 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 1.098 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.098 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.098 * [taylor]: Taking taylor expansion of 1/2 in U 1.098 * [backup-simplify]: Simplify 1/2 into 1/2 1.098 * [taylor]: Taking taylor expansion of K in U 1.098 * [backup-simplify]: Simplify K into K 1.098 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.098 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.099 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.099 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.099 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.099 * [backup-simplify]: Simplify (- 0) into 0 1.099 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.099 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.099 * [taylor]: Taking taylor expansion of J in U 1.099 * [backup-simplify]: Simplify J into J 1.100 * [backup-simplify]: Simplify (* 1 1) into 1 1.100 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.100 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.100 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 1.100 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.100 * [taylor]: Taking taylor expansion of 1 in U 1.100 * [backup-simplify]: Simplify 1 into 1 1.101 * [backup-simplify]: Simplify (+ 0 1) into 1 1.101 * [backup-simplify]: Simplify (sqrt 1) into 1 1.101 * [backup-simplify]: Simplify (+ 0 0) into 0 1.102 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.102 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 1.102 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 1.102 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 1.102 * [taylor]: Taking taylor expansion of 1/4 in U 1.102 * [backup-simplify]: Simplify 1/4 into 1/4 1.102 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 1.102 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.102 * [taylor]: Taking taylor expansion of U in U 1.102 * [backup-simplify]: Simplify 0 into 0 1.102 * [backup-simplify]: Simplify 1 into 1 1.103 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 1.103 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 1.103 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.103 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.103 * [taylor]: Taking taylor expansion of 1/2 in U 1.103 * [backup-simplify]: Simplify 1/2 into 1/2 1.103 * [taylor]: Taking taylor expansion of K in U 1.103 * [backup-simplify]: Simplify K into K 1.103 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.103 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.103 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.103 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.103 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.103 * [backup-simplify]: Simplify (- 0) into 0 1.104 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.104 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.104 * [taylor]: Taking taylor expansion of J in U 1.104 * [backup-simplify]: Simplify J into J 1.104 * [backup-simplify]: Simplify (* 1 1) into 1 1.104 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.104 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.104 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 1.105 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.105 * [taylor]: Taking taylor expansion of 1 in U 1.105 * [backup-simplify]: Simplify 1 into 1 1.105 * [backup-simplify]: Simplify (+ 0 1) into 1 1.106 * [backup-simplify]: Simplify (sqrt 1) into 1 1.106 * [backup-simplify]: Simplify (+ 0 0) into 0 1.107 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.107 * [taylor]: Taking taylor expansion of 1 in K 1.107 * [backup-simplify]: Simplify 1 into 1 1.107 * [taylor]: Taking taylor expansion of 1 in J 1.107 * [backup-simplify]: Simplify 1 into 1 1.107 * [taylor]: Taking taylor expansion of 0 in K 1.107 * [backup-simplify]: Simplify 0 into 0 1.107 * [taylor]: Taking taylor expansion of 0 in J 1.107 * [backup-simplify]: Simplify 0 into 0 1.107 * [taylor]: Taking taylor expansion of 0 in J 1.107 * [backup-simplify]: Simplify 0 into 0 1.107 * [backup-simplify]: Simplify 1 into 1 1.107 * [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))) 1.108 * [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)))) 1.109 * [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))) 1.109 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 1.109 * [taylor]: Taking taylor expansion of 1/8 in K 1.109 * [backup-simplify]: Simplify 1/8 into 1/8 1.110 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 1.110 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 1.110 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.110 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.110 * [taylor]: Taking taylor expansion of 1/2 in K 1.110 * [backup-simplify]: Simplify 1/2 into 1/2 1.110 * [taylor]: Taking taylor expansion of K in K 1.110 * [backup-simplify]: Simplify 0 into 0 1.110 * [backup-simplify]: Simplify 1 into 1 1.110 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.111 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.111 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.111 * [taylor]: Taking taylor expansion of J in K 1.111 * [backup-simplify]: Simplify J into J 1.112 * [backup-simplify]: Simplify (* 1 1) into 1 1.112 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.112 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 1.112 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2)) 1.112 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J 1.112 * [taylor]: Taking taylor expansion of 1/8 in J 1.112 * [backup-simplify]: Simplify 1/8 into 1/8 1.112 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.112 * [taylor]: Taking taylor expansion of J in J 1.112 * [backup-simplify]: Simplify 0 into 0 1.112 * [backup-simplify]: Simplify 1 into 1 1.112 * [backup-simplify]: Simplify (* 1 1) into 1 1.113 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 1.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.115 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 1.115 * [backup-simplify]: Simplify 0 into 0 1.115 * [taylor]: Taking taylor expansion of 0 in J 1.115 * [backup-simplify]: Simplify 0 into 0 1.115 * [taylor]: Taking taylor expansion of 0 in J 1.115 * [backup-simplify]: Simplify 0 into 0 1.115 * [backup-simplify]: Simplify 0 into 0 1.115 * [backup-simplify]: Simplify 0 into 0 1.115 * [backup-simplify]: Simplify 0 into 0 1.116 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.116 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.116 * [backup-simplify]: Simplify (+ 0) into 0 1.117 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.117 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.118 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.118 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.119 * [backup-simplify]: Simplify (- 0) into 0 1.119 * [backup-simplify]: Simplify (+ 0 0) into 0 1.119 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 1.119 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 1.120 * [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 1.121 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 1.121 * [backup-simplify]: Simplify (+ 0 0) into 0 1.122 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 1.122 * [taylor]: Taking taylor expansion of 0 in K 1.122 * [backup-simplify]: Simplify 0 into 0 1.122 * [taylor]: Taking taylor expansion of 0 in J 1.122 * [backup-simplify]: Simplify 0 into 0 1.122 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.123 * [backup-simplify]: Simplify (+ 0) into 0 1.123 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.124 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 1.124 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0 1.124 * [taylor]: Taking taylor expansion of 0 in J 1.124 * [backup-simplify]: Simplify 0 into 0 1.124 * [taylor]: Taking taylor expansion of 0 in J 1.124 * [backup-simplify]: Simplify 0 into 0 1.124 * [taylor]: Taking taylor expansion of 0 in J 1.124 * [backup-simplify]: Simplify 0 into 0 1.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.126 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.126 * [backup-simplify]: Simplify 0 into 0 1.126 * [backup-simplify]: Simplify 0 into 0 1.126 * [backup-simplify]: Simplify 1 into 1 1.127 * [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)) 1.127 * [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 1.127 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 1.127 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 1.127 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 1.127 * [taylor]: Taking taylor expansion of 1/4 in J 1.127 * [backup-simplify]: Simplify 1/4 into 1/4 1.127 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 1.127 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.127 * [taylor]: Taking taylor expansion of J in J 1.127 * [backup-simplify]: Simplify 0 into 0 1.127 * [backup-simplify]: Simplify 1 into 1 1.127 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 1.127 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.128 * [taylor]: Taking taylor expansion of U in J 1.128 * [backup-simplify]: Simplify U into U 1.128 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 1.128 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.128 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.128 * [taylor]: Taking taylor expansion of 1/2 in J 1.128 * [backup-simplify]: Simplify 1/2 into 1/2 1.128 * [taylor]: Taking taylor expansion of K in J 1.128 * [backup-simplify]: Simplify K into K 1.128 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.128 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.128 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.128 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.128 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.129 * [backup-simplify]: Simplify (- 0) into 0 1.129 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.129 * [backup-simplify]: Simplify (* 1 1) into 1 1.129 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.129 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.130 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 1.130 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 1.130 * [taylor]: Taking taylor expansion of 1 in J 1.130 * [backup-simplify]: Simplify 1 into 1 1.130 * [backup-simplify]: Simplify (+ 0 1) into 1 1.131 * [backup-simplify]: Simplify (sqrt 1) into 1 1.131 * [backup-simplify]: Simplify (+ 0 0) into 0 1.132 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.132 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 1.132 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 1.132 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 1.132 * [taylor]: Taking taylor expansion of 1/4 in K 1.132 * [backup-simplify]: Simplify 1/4 into 1/4 1.132 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 1.132 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.132 * [taylor]: Taking taylor expansion of J in K 1.132 * [backup-simplify]: Simplify J into J 1.132 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 1.132 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.132 * [taylor]: Taking taylor expansion of U in K 1.132 * [backup-simplify]: Simplify U into U 1.132 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 1.132 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.132 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.132 * [taylor]: Taking taylor expansion of 1/2 in K 1.132 * [backup-simplify]: Simplify 1/2 into 1/2 1.132 * [taylor]: Taking taylor expansion of K in K 1.132 * [backup-simplify]: Simplify 0 into 0 1.132 * [backup-simplify]: Simplify 1 into 1 1.133 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.133 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.133 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.133 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.133 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.133 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 1.134 * [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))) 1.134 * [taylor]: Taking taylor expansion of 1 in K 1.134 * [backup-simplify]: Simplify 1 into 1 1.134 * [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)))) 1.135 * [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) 1.135 * [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)) 1.135 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.135 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.135 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.136 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.136 * [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 1.137 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 1.137 * [backup-simplify]: Simplify (+ 0 0) into 0 1.138 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 1.138 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 1.138 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 1.138 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 1.138 * [taylor]: Taking taylor expansion of 1/4 in U 1.138 * [backup-simplify]: Simplify 1/4 into 1/4 1.138 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 1.138 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.138 * [taylor]: Taking taylor expansion of J in U 1.138 * [backup-simplify]: Simplify J into J 1.138 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 1.138 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.138 * [taylor]: Taking taylor expansion of U in U 1.138 * [backup-simplify]: Simplify 0 into 0 1.138 * [backup-simplify]: Simplify 1 into 1 1.138 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 1.138 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.138 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.138 * [taylor]: Taking taylor expansion of 1/2 in U 1.138 * [backup-simplify]: Simplify 1/2 into 1/2 1.139 * [taylor]: Taking taylor expansion of K in U 1.139 * [backup-simplify]: Simplify K into K 1.139 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.139 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.139 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.139 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.139 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.139 * [backup-simplify]: Simplify (- 0) into 0 1.139 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.139 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.140 * [backup-simplify]: Simplify (* 1 1) into 1 1.140 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.140 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 1.140 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 1.140 * [taylor]: Taking taylor expansion of 1 in U 1.140 * [backup-simplify]: Simplify 1 into 1 1.141 * [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))) 1.141 * [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))) 1.141 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.141 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.142 * [backup-simplify]: Simplify (+ 0) into 0 1.142 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.142 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.143 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.144 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.144 * [backup-simplify]: Simplify (- 0) into 0 1.144 * [backup-simplify]: Simplify (+ 0 0) into 0 1.144 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.145 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.146 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.146 * [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 1.147 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 1.147 * [backup-simplify]: Simplify (+ 0 0) into 0 1.147 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.147 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 1.147 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 1.147 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 1.147 * [taylor]: Taking taylor expansion of 1/4 in U 1.148 * [backup-simplify]: Simplify 1/4 into 1/4 1.148 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 1.148 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.148 * [taylor]: Taking taylor expansion of J in U 1.148 * [backup-simplify]: Simplify J into J 1.148 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 1.148 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.148 * [taylor]: Taking taylor expansion of U in U 1.148 * [backup-simplify]: Simplify 0 into 0 1.148 * [backup-simplify]: Simplify 1 into 1 1.148 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 1.148 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.148 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.148 * [taylor]: Taking taylor expansion of 1/2 in U 1.148 * [backup-simplify]: Simplify 1/2 into 1/2 1.148 * [taylor]: Taking taylor expansion of K in U 1.148 * [backup-simplify]: Simplify K into K 1.148 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.148 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.148 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.148 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.148 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.149 * [backup-simplify]: Simplify (- 0) into 0 1.149 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.149 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.149 * [backup-simplify]: Simplify (* 1 1) into 1 1.149 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.150 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 1.150 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 1.150 * [taylor]: Taking taylor expansion of 1 in U 1.150 * [backup-simplify]: Simplify 1 into 1 1.150 * [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))) 1.150 * [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))) 1.150 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.151 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.151 * [backup-simplify]: Simplify (+ 0) into 0 1.151 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.152 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.152 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.153 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.153 * [backup-simplify]: Simplify (- 0) into 0 1.154 * [backup-simplify]: Simplify (+ 0 0) into 0 1.154 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.154 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.155 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.155 * [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 1.156 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 1.156 * [backup-simplify]: Simplify (+ 0 0) into 0 1.157 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.157 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K 1.157 * [taylor]: Taking taylor expansion of 1/2 in K 1.157 * [backup-simplify]: Simplify 1/2 into 1/2 1.157 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K 1.157 * [taylor]: Taking taylor expansion of J in K 1.157 * [backup-simplify]: Simplify J into J 1.157 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.157 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.157 * [taylor]: Taking taylor expansion of 1/2 in K 1.157 * [backup-simplify]: Simplify 1/2 into 1/2 1.157 * [taylor]: Taking taylor expansion of K in K 1.157 * [backup-simplify]: Simplify 0 into 0 1.157 * [backup-simplify]: Simplify 1 into 1 1.157 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.158 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.158 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 1.158 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.158 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 1.158 * [taylor]: Taking taylor expansion of 1/2 in J 1.158 * [backup-simplify]: Simplify 1/2 into 1/2 1.158 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 1.158 * [taylor]: Taking taylor expansion of J in J 1.158 * [backup-simplify]: Simplify 0 into 0 1.158 * [backup-simplify]: Simplify 1 into 1 1.158 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.158 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.158 * [taylor]: Taking taylor expansion of 1/2 in J 1.158 * [backup-simplify]: Simplify 1/2 into 1/2 1.158 * [taylor]: Taking taylor expansion of K in J 1.158 * [backup-simplify]: Simplify K into K 1.158 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.158 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.158 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.158 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.158 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.159 * [backup-simplify]: Simplify (- 0) into 0 1.159 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.159 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 1.159 * [taylor]: Taking taylor expansion of 0 in K 1.159 * [backup-simplify]: Simplify 0 into 0 1.159 * [taylor]: Taking taylor expansion of 0 in J 1.159 * [backup-simplify]: Simplify 0 into 0 1.159 * [backup-simplify]: Simplify 0 into 0 1.159 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 1.160 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 1.160 * [taylor]: Taking taylor expansion of 0 in J 1.160 * [backup-simplify]: Simplify 0 into 0 1.160 * [backup-simplify]: Simplify 0 into 0 1.160 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 1.160 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 1.161 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.162 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.162 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.163 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.163 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.164 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.164 * [backup-simplify]: Simplify (- 0) into 0 1.165 * [backup-simplify]: Simplify (+ 0 0) into 0 1.165 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 1.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 1.171 * [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 1.172 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 1.173 * [backup-simplify]: Simplify (+ 0 1) into 1 1.174 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 1.174 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 1.174 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.174 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.174 * [taylor]: Taking taylor expansion of 1/2 in K 1.174 * [backup-simplify]: Simplify 1/2 into 1/2 1.174 * [taylor]: Taking taylor expansion of K in K 1.174 * [backup-simplify]: Simplify 0 into 0 1.174 * [backup-simplify]: Simplify 1 into 1 1.174 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.174 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.174 * [taylor]: Taking taylor expansion of J in K 1.174 * [backup-simplify]: Simplify J into J 1.174 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 1.175 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 1.175 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.175 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.175 * [taylor]: Taking taylor expansion of 1/2 in J 1.175 * [backup-simplify]: Simplify 1/2 into 1/2 1.175 * [taylor]: Taking taylor expansion of K in J 1.175 * [backup-simplify]: Simplify K into K 1.175 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.175 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.175 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.175 * [taylor]: Taking taylor expansion of J in J 1.175 * [backup-simplify]: Simplify 0 into 0 1.175 * [backup-simplify]: Simplify 1 into 1 1.175 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.175 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.176 * [backup-simplify]: Simplify (- 0) into 0 1.176 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.176 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.176 * [backup-simplify]: Simplify (+ 0) into 0 1.177 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.177 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.178 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.178 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.178 * [backup-simplify]: Simplify (- 0) into 0 1.179 * [backup-simplify]: Simplify (+ 0 0) into 0 1.180 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 1.180 * [backup-simplify]: Simplify 0 into 0 1.180 * [taylor]: Taking taylor expansion of 0 in J 1.180 * [backup-simplify]: Simplify 0 into 0 1.180 * [backup-simplify]: Simplify 0 into 0 1.180 * [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 1.181 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 1.181 * [taylor]: Taking taylor expansion of 0 in J 1.181 * [backup-simplify]: Simplify 0 into 0 1.181 * [backup-simplify]: Simplify 0 into 0 1.181 * [backup-simplify]: Simplify 0 into 0 1.181 * [backup-simplify]: Simplify 0 into 0 1.182 * [backup-simplify]: Simplify (+ 0) into 0 1.182 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.182 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.183 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.183 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.184 * [backup-simplify]: Simplify (- 0) into 0 1.185 * [backup-simplify]: Simplify (+ 0 0) into 0 1.185 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 1.186 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 1.186 * [backup-simplify]: Simplify 0 into 0 1.186 * [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))) 1.187 * [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)))))) 1.187 * [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 1.187 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 1.187 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 1.187 * [taylor]: Taking taylor expansion of 1 in J 1.187 * [backup-simplify]: Simplify 1 into 1 1.187 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 1.187 * [taylor]: Taking taylor expansion of 1/4 in J 1.187 * [backup-simplify]: Simplify 1/4 into 1/4 1.187 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 1.187 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.187 * [taylor]: Taking taylor expansion of J in J 1.187 * [backup-simplify]: Simplify 0 into 0 1.187 * [backup-simplify]: Simplify 1 into 1 1.187 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 1.187 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 1.187 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.187 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.187 * [taylor]: Taking taylor expansion of -1/2 in J 1.187 * [backup-simplify]: Simplify -1/2 into -1/2 1.187 * [taylor]: Taking taylor expansion of K in J 1.187 * [backup-simplify]: Simplify K into K 1.187 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.187 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.187 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.188 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.188 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.188 * [backup-simplify]: Simplify (- 0) into 0 1.188 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.188 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.188 * [taylor]: Taking taylor expansion of U in J 1.189 * [backup-simplify]: Simplify U into U 1.189 * [backup-simplify]: Simplify (* 1 1) into 1 1.189 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.189 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.189 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 1.190 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 1.190 * [backup-simplify]: Simplify (+ 1 0) into 1 1.190 * [backup-simplify]: Simplify (sqrt 1) into 1 1.191 * [backup-simplify]: Simplify (+ 0 0) into 0 1.192 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.192 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 1.192 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 1.192 * [taylor]: Taking taylor expansion of 1 in K 1.192 * [backup-simplify]: Simplify 1 into 1 1.192 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 1.192 * [taylor]: Taking taylor expansion of 1/4 in K 1.192 * [backup-simplify]: Simplify 1/4 into 1/4 1.192 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 1.192 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.192 * [taylor]: Taking taylor expansion of J in K 1.192 * [backup-simplify]: Simplify J into J 1.192 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 1.192 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 1.192 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.192 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.192 * [taylor]: Taking taylor expansion of -1/2 in K 1.192 * [backup-simplify]: Simplify -1/2 into -1/2 1.192 * [taylor]: Taking taylor expansion of K in K 1.192 * [backup-simplify]: Simplify 0 into 0 1.192 * [backup-simplify]: Simplify 1 into 1 1.193 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.193 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.193 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.193 * [taylor]: Taking taylor expansion of U in K 1.193 * [backup-simplify]: Simplify U into U 1.193 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.193 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.193 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.193 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 1.193 * [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))) 1.194 * [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)))) 1.194 * [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))))) 1.195 * [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)))))) 1.195 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.195 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.195 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.195 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 1.196 * [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 1.197 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 1.197 * [backup-simplify]: Simplify (+ 0 0) into 0 1.198 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 1.198 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 1.198 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 1.198 * [taylor]: Taking taylor expansion of 1 in U 1.198 * [backup-simplify]: Simplify 1 into 1 1.198 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 1.198 * [taylor]: Taking taylor expansion of 1/4 in U 1.198 * [backup-simplify]: Simplify 1/4 into 1/4 1.198 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 1.198 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.198 * [taylor]: Taking taylor expansion of J in U 1.198 * [backup-simplify]: Simplify J into J 1.198 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 1.198 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 1.198 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.198 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.198 * [taylor]: Taking taylor expansion of -1/2 in U 1.198 * [backup-simplify]: Simplify -1/2 into -1/2 1.198 * [taylor]: Taking taylor expansion of K in U 1.198 * [backup-simplify]: Simplify K into K 1.198 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.199 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.199 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.199 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.199 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.199 * [backup-simplify]: Simplify (- 0) into 0 1.199 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.199 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.199 * [taylor]: Taking taylor expansion of U in U 1.199 * [backup-simplify]: Simplify 0 into 0 1.200 * [backup-simplify]: Simplify 1 into 1 1.200 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.200 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.200 * [backup-simplify]: Simplify (* 1 1) into 1 1.200 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 1.200 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 1.201 * [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))) 1.201 * [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))) 1.201 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.201 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.203 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.203 * [backup-simplify]: Simplify (+ 0) into 0 1.204 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.204 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.205 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.205 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.206 * [backup-simplify]: Simplify (- 0) into 0 1.206 * [backup-simplify]: Simplify (+ 0 0) into 0 1.206 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.207 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 1.207 * [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 1.208 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 1.209 * [backup-simplify]: Simplify (+ 0 0) into 0 1.209 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 1.209 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 1.209 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 1.209 * [taylor]: Taking taylor expansion of 1 in U 1.209 * [backup-simplify]: Simplify 1 into 1 1.209 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 1.209 * [taylor]: Taking taylor expansion of 1/4 in U 1.209 * [backup-simplify]: Simplify 1/4 into 1/4 1.209 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 1.209 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.209 * [taylor]: Taking taylor expansion of J in U 1.209 * [backup-simplify]: Simplify J into J 1.209 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 1.209 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 1.209 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.209 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.210 * [taylor]: Taking taylor expansion of -1/2 in U 1.210 * [backup-simplify]: Simplify -1/2 into -1/2 1.210 * [taylor]: Taking taylor expansion of K in U 1.210 * [backup-simplify]: Simplify K into K 1.210 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.210 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.210 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.210 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.210 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.211 * [backup-simplify]: Simplify (- 0) into 0 1.211 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.211 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.211 * [taylor]: Taking taylor expansion of U in U 1.211 * [backup-simplify]: Simplify 0 into 0 1.211 * [backup-simplify]: Simplify 1 into 1 1.211 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.211 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.211 * [backup-simplify]: Simplify (* 1 1) into 1 1.211 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 1.212 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 1.212 * [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))) 1.212 * [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))) 1.212 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.213 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.213 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.214 * [backup-simplify]: Simplify (+ 0) into 0 1.214 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.214 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.215 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.216 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.216 * [backup-simplify]: Simplify (- 0) into 0 1.216 * [backup-simplify]: Simplify (+ 0 0) into 0 1.216 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.217 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 1.217 * [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 1.218 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 1.218 * [backup-simplify]: Simplify (+ 0 0) into 0 1.219 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 1.219 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K 1.219 * [taylor]: Taking taylor expansion of 1/2 in K 1.219 * [backup-simplify]: Simplify 1/2 into 1/2 1.219 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K 1.219 * [taylor]: Taking taylor expansion of J in K 1.219 * [backup-simplify]: Simplify J into J 1.219 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.219 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.219 * [taylor]: Taking taylor expansion of -1/2 in K 1.219 * [backup-simplify]: Simplify -1/2 into -1/2 1.219 * [taylor]: Taking taylor expansion of K in K 1.219 * [backup-simplify]: Simplify 0 into 0 1.219 * [backup-simplify]: Simplify 1 into 1 1.220 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.220 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.220 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 1.220 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.220 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 1.220 * [taylor]: Taking taylor expansion of 1/2 in J 1.220 * [backup-simplify]: Simplify 1/2 into 1/2 1.220 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 1.220 * [taylor]: Taking taylor expansion of J in J 1.220 * [backup-simplify]: Simplify 0 into 0 1.220 * [backup-simplify]: Simplify 1 into 1 1.220 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.220 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.220 * [taylor]: Taking taylor expansion of -1/2 in J 1.220 * [backup-simplify]: Simplify -1/2 into -1/2 1.220 * [taylor]: Taking taylor expansion of K in J 1.220 * [backup-simplify]: Simplify K into K 1.220 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.220 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.220 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.220 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.221 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.221 * [backup-simplify]: Simplify (- 0) into 0 1.221 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.221 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 1.221 * [taylor]: Taking taylor expansion of 0 in K 1.221 * [backup-simplify]: Simplify 0 into 0 1.221 * [taylor]: Taking taylor expansion of 0 in J 1.221 * [backup-simplify]: Simplify 0 into 0 1.221 * [backup-simplify]: Simplify 0 into 0 1.221 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 1.222 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 1.222 * [taylor]: Taking taylor expansion of 0 in J 1.222 * [backup-simplify]: Simplify 0 into 0 1.222 * [backup-simplify]: Simplify 0 into 0 1.222 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 1.222 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 1.223 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.225 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.226 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.226 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.227 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.227 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.228 * [backup-simplify]: Simplify (- 0) into 0 1.228 * [backup-simplify]: Simplify (+ 0 0) into 0 1.228 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 1.229 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 1.230 * [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 1.231 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 1.231 * [backup-simplify]: Simplify (+ 1 0) into 1 1.232 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 1.232 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 1.232 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.232 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.232 * [taylor]: Taking taylor expansion of -1/2 in K 1.232 * [backup-simplify]: Simplify -1/2 into -1/2 1.232 * [taylor]: Taking taylor expansion of K in K 1.232 * [backup-simplify]: Simplify 0 into 0 1.232 * [backup-simplify]: Simplify 1 into 1 1.233 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.233 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.233 * [taylor]: Taking taylor expansion of J in K 1.233 * [backup-simplify]: Simplify J into J 1.233 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 1.233 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 1.233 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.233 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.233 * [taylor]: Taking taylor expansion of -1/2 in J 1.233 * [backup-simplify]: Simplify -1/2 into -1/2 1.233 * [taylor]: Taking taylor expansion of K in J 1.233 * [backup-simplify]: Simplify K into K 1.233 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.233 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.233 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.233 * [taylor]: Taking taylor expansion of J in J 1.233 * [backup-simplify]: Simplify 0 into 0 1.233 * [backup-simplify]: Simplify 1 into 1 1.233 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.234 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.234 * [backup-simplify]: Simplify (- 0) into 0 1.234 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.234 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.234 * [backup-simplify]: Simplify (+ 0) into 0 1.235 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.235 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.236 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.236 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.237 * [backup-simplify]: Simplify (- 0) into 0 1.237 * [backup-simplify]: Simplify (+ 0 0) into 0 1.238 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 1.238 * [backup-simplify]: Simplify 0 into 0 1.238 * [taylor]: Taking taylor expansion of 0 in J 1.238 * [backup-simplify]: Simplify 0 into 0 1.238 * [backup-simplify]: Simplify 0 into 0 1.238 * [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 1.239 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 1.239 * [taylor]: Taking taylor expansion of 0 in J 1.239 * [backup-simplify]: Simplify 0 into 0 1.239 * [backup-simplify]: Simplify 0 into 0 1.239 * [backup-simplify]: Simplify 0 into 0 1.240 * [backup-simplify]: Simplify 0 into 0 1.240 * [backup-simplify]: Simplify (+ 0) into 0 1.240 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.241 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.241 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.242 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.242 * [backup-simplify]: Simplify (- 0) into 0 1.242 * [backup-simplify]: Simplify (+ 0 0) into 0 1.243 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 1.243 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 1.243 * [backup-simplify]: Simplify 0 into 0 1.244 * [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))) 1.244 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.244 * [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)))) 1.244 * [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 1.244 * [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 1.244 * [taylor]: Taking taylor expansion of -2 in J 1.244 * [backup-simplify]: Simplify -2 into -2 1.244 * [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 1.244 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 1.244 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.245 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.245 * [taylor]: Taking taylor expansion of 1/2 in J 1.245 * [backup-simplify]: Simplify 1/2 into 1/2 1.245 * [taylor]: Taking taylor expansion of K in J 1.245 * [backup-simplify]: Simplify K into K 1.245 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.245 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.245 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.245 * [taylor]: Taking taylor expansion of J in J 1.245 * [backup-simplify]: Simplify 0 into 0 1.245 * [backup-simplify]: Simplify 1 into 1 1.245 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 1.245 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 1.245 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 1.245 * [taylor]: Taking taylor expansion of 1/4 in J 1.245 * [backup-simplify]: Simplify 1/4 into 1/4 1.245 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 1.245 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.245 * [taylor]: Taking taylor expansion of U in J 1.245 * [backup-simplify]: Simplify U into U 1.245 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 1.245 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 1.245 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.245 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.246 * [taylor]: Taking taylor expansion of 1/2 in J 1.246 * [backup-simplify]: Simplify 1/2 into 1/2 1.246 * [taylor]: Taking taylor expansion of K in J 1.246 * [backup-simplify]: Simplify K into K 1.246 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.246 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.246 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.246 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.246 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.246 * [backup-simplify]: Simplify (- 0) into 0 1.246 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.246 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.247 * [taylor]: Taking taylor expansion of J in J 1.247 * [backup-simplify]: Simplify 0 into 0 1.247 * [backup-simplify]: Simplify 1 into 1 1.247 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.247 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.247 * [backup-simplify]: Simplify (* 1 1) into 1 1.247 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 1.248 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 1.248 * [taylor]: Taking taylor expansion of 1 in J 1.248 * [backup-simplify]: Simplify 1 into 1 1.248 * [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))) 1.248 * [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))) 1.248 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 1.248 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.249 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.249 * [backup-simplify]: Simplify (+ 0) into 0 1.250 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.250 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.251 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.252 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.252 * [backup-simplify]: Simplify (- 0) into 0 1.252 * [backup-simplify]: Simplify (+ 0 0) into 0 1.253 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 1.253 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 1.254 * [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 1.254 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 1.255 * [backup-simplify]: Simplify (+ 0 0) into 0 1.255 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 1.255 * [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 1.255 * [taylor]: Taking taylor expansion of -2 in K 1.255 * [backup-simplify]: Simplify -2 into -2 1.255 * [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 1.255 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 1.255 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.255 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.255 * [taylor]: Taking taylor expansion of 1/2 in K 1.255 * [backup-simplify]: Simplify 1/2 into 1/2 1.255 * [taylor]: Taking taylor expansion of K in K 1.255 * [backup-simplify]: Simplify 0 into 0 1.255 * [backup-simplify]: Simplify 1 into 1 1.256 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.256 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.256 * [taylor]: Taking taylor expansion of J in K 1.256 * [backup-simplify]: Simplify J into J 1.256 * [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 1.257 * [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) 1.260 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 1.260 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.260 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.260 * [backup-simplify]: Simplify (+ 0) into 0 1.261 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.261 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 1.262 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 1.262 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 1.263 * [backup-simplify]: Simplify (+ 0 0) into 0 1.263 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 1.263 * [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 1.263 * [taylor]: Taking taylor expansion of -2 in U 1.263 * [backup-simplify]: Simplify -2 into -2 1.263 * [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 1.263 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 1.263 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.263 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.263 * [taylor]: Taking taylor expansion of 1/2 in U 1.263 * [backup-simplify]: Simplify 1/2 into 1/2 1.263 * [taylor]: Taking taylor expansion of K in U 1.263 * [backup-simplify]: Simplify K into K 1.263 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.263 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.263 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.263 * [taylor]: Taking taylor expansion of J in U 1.263 * [backup-simplify]: Simplify J into J 1.263 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 1.263 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 1.263 * [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) 1.266 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.266 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 1.266 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.266 * [taylor]: Taking taylor expansion of 1 in U 1.266 * [backup-simplify]: Simplify 1 into 1 1.266 * [backup-simplify]: Simplify (+ 0 1) into 1 1.267 * [backup-simplify]: Simplify (sqrt 1) into 1 1.267 * [backup-simplify]: Simplify (+ 0 0) into 0 1.268 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.268 * [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 1.268 * [taylor]: Taking taylor expansion of -2 in U 1.268 * [backup-simplify]: Simplify -2 into -2 1.268 * [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 1.268 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 1.268 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.268 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.268 * [taylor]: Taking taylor expansion of 1/2 in U 1.268 * [backup-simplify]: Simplify 1/2 into 1/2 1.268 * [taylor]: Taking taylor expansion of K in U 1.268 * [backup-simplify]: Simplify K into K 1.268 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.268 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.268 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.269 * [taylor]: Taking taylor expansion of J in U 1.269 * [backup-simplify]: Simplify J into J 1.269 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 1.269 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 1.269 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 1.269 * [taylor]: Taking taylor expansion of 1/4 in U 1.269 * [backup-simplify]: Simplify 1/4 into 1/4 1.269 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 1.269 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.269 * [taylor]: Taking taylor expansion of U in U 1.269 * [backup-simplify]: Simplify 0 into 0 1.269 * [backup-simplify]: Simplify 1 into 1 1.269 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 1.269 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 1.269 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.269 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.269 * [taylor]: Taking taylor expansion of 1/2 in U 1.269 * [backup-simplify]: Simplify 1/2 into 1/2 1.269 * [taylor]: Taking taylor expansion of K in U 1.269 * [backup-simplify]: Simplify K into K 1.269 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.269 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.269 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.269 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.269 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.270 * [backup-simplify]: Simplify (- 0) into 0 1.270 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.270 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.270 * [taylor]: Taking taylor expansion of J in U 1.270 * [backup-simplify]: Simplify J into J 1.270 * [backup-simplify]: Simplify (* 1 1) into 1 1.271 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.271 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.271 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 1.271 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.271 * [taylor]: Taking taylor expansion of 1 in U 1.271 * [backup-simplify]: Simplify 1 into 1 1.271 * [backup-simplify]: Simplify (+ 0 1) into 1 1.272 * [backup-simplify]: Simplify (sqrt 1) into 1 1.272 * [backup-simplify]: Simplify (+ 0 0) into 0 1.273 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.273 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.274 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.274 * [backup-simplify]: Simplify (- 0) into 0 1.274 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.274 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 1.274 * [backup-simplify]: Simplify (* (* (cos (* 1/2 K)) J) 1) into (* (cos (* 1/2 K)) J) 1.274 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J)) 1.274 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in K 1.274 * [taylor]: Taking taylor expansion of -2 in K 1.274 * [backup-simplify]: Simplify -2 into -2 1.274 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 1.274 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.274 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.274 * [taylor]: Taking taylor expansion of 1/2 in K 1.275 * [backup-simplify]: Simplify 1/2 into 1/2 1.275 * [taylor]: Taking taylor expansion of K in K 1.275 * [backup-simplify]: Simplify 0 into 0 1.275 * [backup-simplify]: Simplify 1 into 1 1.275 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.276 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.276 * [taylor]: Taking taylor expansion of J in K 1.276 * [backup-simplify]: Simplify J into J 1.276 * [backup-simplify]: Simplify (* 1 J) into J 1.276 * [backup-simplify]: Simplify (* -2 J) into (* -2 J) 1.276 * [taylor]: Taking taylor expansion of (* -2 J) in J 1.276 * [taylor]: Taking taylor expansion of -2 in J 1.276 * [backup-simplify]: Simplify -2 into -2 1.276 * [taylor]: Taking taylor expansion of J in J 1.276 * [backup-simplify]: Simplify 0 into 0 1.276 * [backup-simplify]: Simplify 1 into 1 1.277 * [backup-simplify]: Simplify (+ 0) into 0 1.277 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.278 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.278 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.279 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.279 * [backup-simplify]: Simplify (- 0) into 0 1.280 * [backup-simplify]: Simplify (+ 0 0) into 0 1.280 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 1.280 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (* 0 1)) into 0 1.280 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0 1.280 * [taylor]: Taking taylor expansion of 0 in K 1.280 * [backup-simplify]: Simplify 0 into 0 1.280 * [taylor]: Taking taylor expansion of 0 in J 1.280 * [backup-simplify]: Simplify 0 into 0 1.281 * [backup-simplify]: Simplify (+ 0) into 0 1.281 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 1.281 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 J)) into 0 1.281 * [taylor]: Taking taylor expansion of 0 in J 1.281 * [backup-simplify]: Simplify 0 into 0 1.282 * [backup-simplify]: Simplify (* -2 0) into 0 1.282 * [backup-simplify]: Simplify 0 into 0 1.282 * [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))) 1.282 * [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)))) 1.283 * [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))) 1.284 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.284 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.285 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 1.285 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.285 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.286 * [backup-simplify]: Simplify (- 0) into 0 1.286 * [backup-simplify]: Simplify (+ 0 0) into 0 1.286 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0 1.287 * [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))) 1.287 * [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)))) 1.287 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in K 1.287 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in K 1.287 * [taylor]: Taking taylor expansion of 1/4 in K 1.287 * [backup-simplify]: Simplify 1/4 into 1/4 1.287 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in K 1.287 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 1.287 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.287 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.287 * [taylor]: Taking taylor expansion of 1/2 in K 1.287 * [backup-simplify]: Simplify 1/2 into 1/2 1.287 * [taylor]: Taking taylor expansion of K in K 1.287 * [backup-simplify]: Simplify 0 into 0 1.287 * [backup-simplify]: Simplify 1 into 1 1.288 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.288 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.288 * [taylor]: Taking taylor expansion of J in K 1.288 * [backup-simplify]: Simplify J into J 1.288 * [backup-simplify]: Simplify (* 1 J) into J 1.288 * [backup-simplify]: Simplify (/ 1 J) into (/ 1 J) 1.288 * [backup-simplify]: Simplify (* 1/4 (/ 1 J)) into (/ 1/4 J) 1.288 * [backup-simplify]: Simplify (- (/ 1/4 J)) into (- (* 1/4 (/ 1 J))) 1.288 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 J))) in J 1.288 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 J)) in J 1.288 * [taylor]: Taking taylor expansion of 1/4 in J 1.288 * [backup-simplify]: Simplify 1/4 into 1/4 1.288 * [taylor]: Taking taylor expansion of (/ 1 J) in J 1.288 * [taylor]: Taking taylor expansion of J in J 1.288 * [backup-simplify]: Simplify 0 into 0 1.288 * [backup-simplify]: Simplify 1 into 1 1.289 * [backup-simplify]: Simplify (/ 1 1) into 1 1.289 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 1.289 * [backup-simplify]: Simplify (- 1/4) into -1/4 1.289 * [backup-simplify]: Simplify -1/4 into -1/4 1.289 * [taylor]: Taking taylor expansion of 0 in J 1.289 * [backup-simplify]: Simplify 0 into 0 1.290 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 1.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J)) 1.291 * [backup-simplify]: Simplify (+ (* -2 (- (* 1/8 J))) (+ (* 0 0) (* 0 J))) into (* 1/4 J) 1.291 * [taylor]: Taking taylor expansion of (* 1/4 J) in J 1.291 * [taylor]: Taking taylor expansion of 1/4 in J 1.291 * [backup-simplify]: Simplify 1/4 into 1/4 1.291 * [taylor]: Taking taylor expansion of J in J 1.291 * [backup-simplify]: Simplify 0 into 0 1.291 * [backup-simplify]: Simplify 1 into 1 1.291 * [backup-simplify]: Simplify 0 into 0 1.291 * [backup-simplify]: Simplify 0 into 0 1.291 * [backup-simplify]: Simplify (+ (* -2 1) (* 0 0)) into -2 1.291 * [backup-simplify]: Simplify -2 into -2 1.292 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.292 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.292 * [backup-simplify]: Simplify (+ 0) into 0 1.292 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.293 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.293 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.293 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.294 * [backup-simplify]: Simplify (- 0) into 0 1.294 * [backup-simplify]: Simplify (+ 0 0) into 0 1.294 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 1.294 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 1.294 * [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 1.295 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 1.295 * [backup-simplify]: Simplify (+ 0 0) into 0 1.296 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 1.296 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.297 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.297 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 1.298 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.299 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.299 * [backup-simplify]: Simplify (- 0) into 0 1.299 * [backup-simplify]: Simplify (+ 0 0) into 0 1.300 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 1.300 * [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 1.301 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0 1.301 * [taylor]: Taking taylor expansion of 0 in K 1.301 * [backup-simplify]: Simplify 0 into 0 1.301 * [taylor]: Taking taylor expansion of 0 in J 1.301 * [backup-simplify]: Simplify 0 into 0 1.301 * [backup-simplify]: Simplify (+ 0) into 0 1.302 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 1.302 * [backup-simplify]: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 1.302 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 J))) into 0 1.302 * [backup-simplify]: Simplify (- 0) into 0 1.302 * [taylor]: Taking taylor expansion of 0 in J 1.302 * [backup-simplify]: Simplify 0 into 0 1.302 * [taylor]: Taking taylor expansion of 0 in J 1.302 * [backup-simplify]: Simplify 0 into 0 1.303 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1.304 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0 1.305 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (- (* 1/8 J))) (+ (* 0 0) (* 0 J)))) into 0 1.305 * [taylor]: Taking taylor expansion of 0 in J 1.305 * [backup-simplify]: Simplify 0 into 0 1.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.306 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 1.306 * [backup-simplify]: Simplify (- 0) into 0 1.306 * [backup-simplify]: Simplify 0 into 0 1.306 * [backup-simplify]: Simplify 0 into 0 1.308 * [backup-simplify]: Simplify (* 1/4 0) into 0 1.308 * [backup-simplify]: Simplify 0 into 0 1.308 * [backup-simplify]: Simplify 0 into 0 1.308 * [backup-simplify]: Simplify 0 into 0 1.309 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0 1.309 * [backup-simplify]: Simplify 0 into 0 1.310 * [backup-simplify]: Simplify (+ (* -2 (* J (* 1 1))) (* -1/4 (* (/ 1 J) (* 1 (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 1.310 * [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))) 1.310 * [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 1.310 * [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 1.310 * [taylor]: Taking taylor expansion of -2 in J 1.310 * [backup-simplify]: Simplify -2 into -2 1.310 * [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 1.310 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 1.310 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 1.310 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 1.310 * [taylor]: Taking taylor expansion of 1/4 in J 1.310 * [backup-simplify]: Simplify 1/4 into 1/4 1.310 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 1.310 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.310 * [taylor]: Taking taylor expansion of J in J 1.310 * [backup-simplify]: Simplify 0 into 0 1.310 * [backup-simplify]: Simplify 1 into 1 1.310 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 1.310 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.310 * [taylor]: Taking taylor expansion of U in J 1.311 * [backup-simplify]: Simplify U into U 1.311 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 1.311 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.311 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.311 * [taylor]: Taking taylor expansion of 1/2 in J 1.311 * [backup-simplify]: Simplify 1/2 into 1/2 1.311 * [taylor]: Taking taylor expansion of K in J 1.311 * [backup-simplify]: Simplify K into K 1.311 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.311 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.311 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.311 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.311 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.311 * [backup-simplify]: Simplify (- 0) into 0 1.311 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.311 * [backup-simplify]: Simplify (* 1 1) into 1 1.312 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.312 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.312 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 1.312 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 1.312 * [taylor]: Taking taylor expansion of 1 in J 1.312 * [backup-simplify]: Simplify 1 into 1 1.312 * [backup-simplify]: Simplify (+ 0 1) into 1 1.313 * [backup-simplify]: Simplify (sqrt 1) into 1 1.313 * [backup-simplify]: Simplify (+ 0 0) into 0 1.313 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.313 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 1.313 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.313 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.313 * [taylor]: Taking taylor expansion of 1/2 in J 1.313 * [backup-simplify]: Simplify 1/2 into 1/2 1.313 * [taylor]: Taking taylor expansion of K in J 1.313 * [backup-simplify]: Simplify K into K 1.314 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.314 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.314 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.314 * [taylor]: Taking taylor expansion of J in J 1.314 * [backup-simplify]: Simplify 0 into 0 1.314 * [backup-simplify]: Simplify 1 into 1 1.314 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.314 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.314 * [backup-simplify]: Simplify (- 0) into 0 1.314 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.314 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.314 * [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 1.314 * [taylor]: Taking taylor expansion of -2 in K 1.314 * [backup-simplify]: Simplify -2 into -2 1.314 * [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 1.314 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 1.314 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 1.314 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 1.314 * [taylor]: Taking taylor expansion of 1/4 in K 1.314 * [backup-simplify]: Simplify 1/4 into 1/4 1.314 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 1.314 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.314 * [taylor]: Taking taylor expansion of J in K 1.314 * [backup-simplify]: Simplify J into J 1.314 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 1.314 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.314 * [taylor]: Taking taylor expansion of U in K 1.314 * [backup-simplify]: Simplify U into U 1.314 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 1.314 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.314 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.314 * [taylor]: Taking taylor expansion of 1/2 in K 1.314 * [backup-simplify]: Simplify 1/2 into 1/2 1.314 * [taylor]: Taking taylor expansion of K in K 1.315 * [backup-simplify]: Simplify 0 into 0 1.315 * [backup-simplify]: Simplify 1 into 1 1.315 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.315 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.315 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.315 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.315 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.315 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 1.315 * [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))) 1.315 * [taylor]: Taking taylor expansion of 1 in K 1.315 * [backup-simplify]: Simplify 1 into 1 1.315 * [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)))) 1.316 * [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) 1.316 * [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)) 1.316 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.316 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.317 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.317 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.317 * [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 1.318 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 1.318 * [backup-simplify]: Simplify (+ 0 0) into 0 1.319 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 1.319 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 1.319 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.319 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.319 * [taylor]: Taking taylor expansion of 1/2 in K 1.319 * [backup-simplify]: Simplify 1/2 into 1/2 1.319 * [taylor]: Taking taylor expansion of K in K 1.319 * [backup-simplify]: Simplify 0 into 0 1.319 * [backup-simplify]: Simplify 1 into 1 1.320 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.320 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.320 * [taylor]: Taking taylor expansion of J in K 1.320 * [backup-simplify]: Simplify J into J 1.320 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 1.320 * [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 1.320 * [taylor]: Taking taylor expansion of -2 in U 1.320 * [backup-simplify]: Simplify -2 into -2 1.320 * [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 1.320 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 1.320 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 1.320 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 1.320 * [taylor]: Taking taylor expansion of 1/4 in U 1.320 * [backup-simplify]: Simplify 1/4 into 1/4 1.320 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 1.320 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.320 * [taylor]: Taking taylor expansion of J in U 1.320 * [backup-simplify]: Simplify J into J 1.320 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 1.320 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.320 * [taylor]: Taking taylor expansion of U in U 1.320 * [backup-simplify]: Simplify 0 into 0 1.320 * [backup-simplify]: Simplify 1 into 1 1.320 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 1.320 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.320 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.320 * [taylor]: Taking taylor expansion of 1/2 in U 1.320 * [backup-simplify]: Simplify 1/2 into 1/2 1.320 * [taylor]: Taking taylor expansion of K in U 1.320 * [backup-simplify]: Simplify K into K 1.320 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.321 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.321 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.321 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.321 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.321 * [backup-simplify]: Simplify (- 0) into 0 1.321 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.321 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.322 * [backup-simplify]: Simplify (* 1 1) into 1 1.322 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.322 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 1.322 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 1.322 * [taylor]: Taking taylor expansion of 1 in U 1.322 * [backup-simplify]: Simplify 1 into 1 1.322 * [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))) 1.323 * [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))) 1.323 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.323 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.324 * [backup-simplify]: Simplify (+ 0) into 0 1.324 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.324 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.325 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.326 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.326 * [backup-simplify]: Simplify (- 0) into 0 1.326 * [backup-simplify]: Simplify (+ 0 0) into 0 1.326 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.327 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.328 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.328 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 1.329 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 1.329 * [backup-simplify]: Simplify (+ 0 0) into 0 1.329 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.329 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 1.329 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.329 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.330 * [taylor]: Taking taylor expansion of 1/2 in U 1.330 * [backup-simplify]: Simplify 1/2 into 1/2 1.330 * [taylor]: Taking taylor expansion of K in U 1.330 * [backup-simplify]: Simplify K into K 1.330 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.330 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.330 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.330 * [taylor]: Taking taylor expansion of J in U 1.330 * [backup-simplify]: Simplify J into J 1.330 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.330 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.330 * [backup-simplify]: Simplify (- 0) into 0 1.331 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.331 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 1.331 * [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 1.331 * [taylor]: Taking taylor expansion of -2 in U 1.331 * [backup-simplify]: Simplify -2 into -2 1.331 * [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 1.331 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 1.331 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 1.331 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 1.331 * [taylor]: Taking taylor expansion of 1/4 in U 1.331 * [backup-simplify]: Simplify 1/4 into 1/4 1.331 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 1.331 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.331 * [taylor]: Taking taylor expansion of J in U 1.331 * [backup-simplify]: Simplify J into J 1.331 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 1.331 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.331 * [taylor]: Taking taylor expansion of U in U 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) in U 1.331 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.331 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.331 * [taylor]: Taking taylor expansion of 1/2 in U 1.331 * [backup-simplify]: Simplify 1/2 into 1/2 1.331 * [taylor]: Taking taylor expansion of K in U 1.331 * [backup-simplify]: Simplify K into K 1.331 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.332 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.332 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.332 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.332 * [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 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.333 * [backup-simplify]: Simplify (* 1 1) into 1 1.333 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.333 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 1.333 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 1.333 * [taylor]: Taking taylor expansion of 1 in U 1.333 * [backup-simplify]: Simplify 1 into 1 1.333 * [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))) 1.334 * [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))) 1.334 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.334 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.335 * [backup-simplify]: Simplify (+ 0) into 0 1.335 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.335 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.336 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.337 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.337 * [backup-simplify]: Simplify (- 0) into 0 1.337 * [backup-simplify]: Simplify (+ 0 0) into 0 1.338 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.338 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.339 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.339 * [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 1.340 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 1.340 * [backup-simplify]: Simplify (+ 0 0) into 0 1.341 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.341 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) 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 * [taylor]: Taking taylor expansion of J in U 1.341 * [backup-simplify]: Simplify J into J 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 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 1.342 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ (cos (/ 1/2 K)) J)) into 1/2 1.342 * [backup-simplify]: Simplify (* -2 1/2) into -1 1.343 * [taylor]: Taking taylor expansion of -1 in K 1.343 * [backup-simplify]: Simplify -1 into -1 1.343 * [taylor]: Taking taylor expansion of -1 in J 1.343 * [backup-simplify]: Simplify -1 into -1 1.343 * [backup-simplify]: Simplify (+ 0) into 0 1.343 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.344 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.344 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.345 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.346 * [backup-simplify]: Simplify (- 0) into 0 1.346 * [backup-simplify]: Simplify (+ 0 0) into 0 1.346 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 1.346 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (/ (cos (/ 1/2 K)) J))) into 0 1.347 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0 1.347 * [taylor]: Taking taylor expansion of 0 in K 1.347 * [backup-simplify]: Simplify 0 into 0 1.347 * [taylor]: Taking taylor expansion of 0 in J 1.347 * [backup-simplify]: Simplify 0 into 0 1.347 * [taylor]: Taking taylor expansion of 0 in J 1.347 * [backup-simplify]: Simplify 0 into 0 1.347 * [backup-simplify]: Simplify -1 into -1 1.348 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.349 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.349 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.350 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.351 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.351 * [backup-simplify]: Simplify (- 0) into 0 1.351 * [backup-simplify]: Simplify (+ 0 0) into 0 1.351 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.352 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.353 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.354 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.354 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.355 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.355 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 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 0) (* 0 (cos (/ 1/2 K))))) into 0 1.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 1.359 * [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 1.360 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 1.361 * [backup-simplify]: Simplify (+ 0 1) into 1 1.362 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 1.362 * [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)) 1.363 * [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)))) 1.363 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in K 1.363 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in K 1.363 * [taylor]: Taking taylor expansion of 2 in K 1.363 * [backup-simplify]: Simplify 2 into 2 1.363 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in K 1.364 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 1.364 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.364 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.364 * [taylor]: Taking taylor expansion of 1/2 in K 1.364 * [backup-simplify]: Simplify 1/2 into 1/2 1.364 * [taylor]: Taking taylor expansion of K in K 1.364 * [backup-simplify]: Simplify 0 into 0 1.364 * [backup-simplify]: Simplify 1 into 1 1.364 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.364 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.364 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.364 * [taylor]: Taking taylor expansion of J in K 1.364 * [backup-simplify]: Simplify J into J 1.364 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.365 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.365 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 1.365 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) into (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 1.365 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) 1.365 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J 1.365 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J 1.365 * [taylor]: Taking taylor expansion of 2 in J 1.365 * [backup-simplify]: Simplify 2 into 2 1.365 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J 1.365 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 1.365 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.365 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.365 * [taylor]: Taking taylor expansion of 1/2 in J 1.365 * [backup-simplify]: Simplify 1/2 into 1/2 1.366 * [taylor]: Taking taylor expansion of K in J 1.366 * [backup-simplify]: Simplify K into K 1.366 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.366 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.366 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.366 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.366 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.366 * [backup-simplify]: Simplify (- 0) into 0 1.366 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.366 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.366 * [taylor]: Taking taylor expansion of J in J 1.366 * [backup-simplify]: Simplify 0 into 0 1.367 * [backup-simplify]: Simplify 1 into 1 1.367 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.367 * [backup-simplify]: Simplify (* 1 1) into 1 1.367 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 1.368 * [backup-simplify]: Simplify (+ 0) into 0 1.368 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.368 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.369 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.369 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.370 * [backup-simplify]: Simplify (- 0) into 0 1.370 * [backup-simplify]: Simplify (+ 0 0) into 0 1.370 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.371 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.372 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 1.372 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.373 * [backup-simplify]: Simplify (- 0) into 0 1.373 * [backup-simplify]: Simplify 0 into 0 1.373 * [taylor]: Taking taylor expansion of 0 in J 1.373 * [backup-simplify]: Simplify 0 into 0 1.373 * [taylor]: Taking taylor expansion of 0 in J 1.373 * [backup-simplify]: Simplify 0 into 0 1.373 * [backup-simplify]: Simplify 0 into 0 1.373 * [backup-simplify]: Simplify 0 into 0 1.373 * [backup-simplify]: Simplify 0 into 0 1.374 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.375 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.375 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.377 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.378 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.378 * [backup-simplify]: Simplify (- 0) into 0 1.379 * [backup-simplify]: Simplify (+ 0 0) into 0 1.379 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.380 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 1.381 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.381 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.382 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.383 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.384 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.384 * [backup-simplify]: Simplify (- 0) into 0 1.385 * [backup-simplify]: Simplify (+ 0 0) into 0 1.386 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 1.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 1.389 * [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 1.390 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.390 * [backup-simplify]: Simplify (+ 0 0) into 0 1.391 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 1.391 * [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 1.393 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 1.393 * [taylor]: Taking taylor expansion of 0 in K 1.393 * [backup-simplify]: Simplify 0 into 0 1.393 * [taylor]: Taking taylor expansion of 0 in J 1.393 * [backup-simplify]: Simplify 0 into 0 1.393 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.393 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.393 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 1.394 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) into 0 1.394 * [backup-simplify]: Simplify (- 0) into 0 1.394 * [taylor]: Taking taylor expansion of 0 in J 1.394 * [backup-simplify]: Simplify 0 into 0 1.394 * [taylor]: Taking taylor expansion of 0 in J 1.394 * [backup-simplify]: Simplify 0 into 0 1.394 * [taylor]: Taking taylor expansion of 0 in J 1.394 * [backup-simplify]: Simplify 0 into 0 1.395 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.396 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.396 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.397 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.398 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.398 * [backup-simplify]: Simplify (- 0) into 0 1.398 * [backup-simplify]: Simplify (+ 0 0) into 0 1.399 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 1.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.401 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.402 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 1.403 * [backup-simplify]: Simplify (- 0) into 0 1.403 * [backup-simplify]: Simplify 0 into 0 1.403 * [backup-simplify]: Simplify 0 into 0 1.403 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U) 1.404 * [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)))))))) 1.404 * [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 1.404 * [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 1.404 * [taylor]: Taking taylor expansion of 2 in J 1.404 * [backup-simplify]: Simplify 2 into 2 1.404 * [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 1.404 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 1.404 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.404 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.404 * [taylor]: Taking taylor expansion of -1/2 in J 1.404 * [backup-simplify]: Simplify -1/2 into -1/2 1.404 * [taylor]: Taking taylor expansion of K in J 1.404 * [backup-simplify]: Simplify K into K 1.404 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.404 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.404 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.404 * [taylor]: Taking taylor expansion of J in J 1.404 * [backup-simplify]: Simplify 0 into 0 1.404 * [backup-simplify]: Simplify 1 into 1 1.404 * [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 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.405 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 1.405 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 1.405 * [taylor]: Taking taylor expansion of 1 in J 1.405 * [backup-simplify]: Simplify 1 into 1 1.405 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 1.405 * [taylor]: Taking taylor expansion of 1/4 in J 1.405 * [backup-simplify]: Simplify 1/4 into 1/4 1.405 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 1.405 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.405 * [taylor]: Taking taylor expansion of J in J 1.405 * [backup-simplify]: Simplify 0 into 0 1.405 * [backup-simplify]: Simplify 1 into 1 1.406 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 1.406 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 1.406 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.406 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.406 * [taylor]: Taking taylor expansion of -1/2 in J 1.406 * [backup-simplify]: Simplify -1/2 into -1/2 1.406 * [taylor]: Taking taylor expansion of K in J 1.406 * [backup-simplify]: Simplify K into K 1.406 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.406 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.406 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.406 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.406 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.407 * [backup-simplify]: Simplify (- 0) into 0 1.407 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.407 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.407 * [taylor]: Taking taylor expansion of U in J 1.407 * [backup-simplify]: Simplify U into U 1.407 * [backup-simplify]: Simplify (* 1 1) into 1 1.407 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.407 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.408 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 1.408 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 1.408 * [backup-simplify]: Simplify (+ 1 0) into 1 1.409 * [backup-simplify]: Simplify (sqrt 1) into 1 1.409 * [backup-simplify]: Simplify (+ 0 0) into 0 1.410 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.410 * [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 1.410 * [taylor]: Taking taylor expansion of 2 in K 1.410 * [backup-simplify]: Simplify 2 into 2 1.410 * [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 1.410 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 1.410 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.410 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.410 * [taylor]: Taking taylor expansion of -1/2 in K 1.410 * [backup-simplify]: Simplify -1/2 into -1/2 1.410 * [taylor]: Taking taylor expansion of K in K 1.410 * [backup-simplify]: Simplify 0 into 0 1.410 * [backup-simplify]: Simplify 1 into 1 1.410 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.410 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.411 * [taylor]: Taking taylor expansion of J in K 1.411 * [backup-simplify]: Simplify J into J 1.411 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 1.411 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 1.411 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 1.411 * [taylor]: Taking taylor expansion of 1 in K 1.411 * [backup-simplify]: Simplify 1 into 1 1.411 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 1.411 * [taylor]: Taking taylor expansion of 1/4 in K 1.411 * [backup-simplify]: Simplify 1/4 into 1/4 1.411 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 1.411 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.411 * [taylor]: Taking taylor expansion of J in K 1.411 * [backup-simplify]: Simplify J into J 1.411 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 1.411 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 1.411 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.411 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.411 * [taylor]: Taking taylor expansion of -1/2 in K 1.411 * [backup-simplify]: Simplify -1/2 into -1/2 1.411 * [taylor]: Taking taylor expansion of K in K 1.411 * [backup-simplify]: Simplify 0 into 0 1.411 * [backup-simplify]: Simplify 1 into 1 1.412 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.412 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.412 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.412 * [taylor]: Taking taylor expansion of U in K 1.412 * [backup-simplify]: Simplify U into U 1.412 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.412 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.412 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.412 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 1.412 * [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))) 1.413 * [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)))) 1.413 * [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))))) 1.414 * [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)))))) 1.414 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.414 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.414 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.414 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 1.415 * [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 1.415 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 1.416 * [backup-simplify]: Simplify (+ 0 0) into 0 1.416 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 1.416 * [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 1.416 * [taylor]: Taking taylor expansion of 2 in U 1.416 * [backup-simplify]: Simplify 2 into 2 1.416 * [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 1.416 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 1.416 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.416 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.416 * [taylor]: Taking taylor expansion of -1/2 in U 1.417 * [backup-simplify]: Simplify -1/2 into -1/2 1.417 * [taylor]: Taking taylor expansion of K in U 1.417 * [backup-simplify]: Simplify K into K 1.417 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.417 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.417 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.417 * [taylor]: Taking taylor expansion of J in U 1.417 * [backup-simplify]: Simplify J into J 1.417 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.417 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.417 * [backup-simplify]: Simplify (- 0) into 0 1.417 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.418 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 1.418 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 1.418 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 1.418 * [taylor]: Taking taylor expansion of 1 in U 1.418 * [backup-simplify]: Simplify 1 into 1 1.418 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 1.418 * [taylor]: Taking taylor expansion of 1/4 in U 1.418 * [backup-simplify]: Simplify 1/4 into 1/4 1.418 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 1.418 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.418 * [taylor]: Taking taylor expansion of J in U 1.418 * [backup-simplify]: Simplify J into J 1.418 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 1.418 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 1.418 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.418 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.418 * [taylor]: Taking taylor expansion of -1/2 in U 1.418 * [backup-simplify]: Simplify -1/2 into -1/2 1.418 * [taylor]: Taking taylor expansion of K in U 1.418 * [backup-simplify]: Simplify K into K 1.418 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.418 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.418 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.418 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.418 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.419 * [backup-simplify]: Simplify (- 0) into 0 1.419 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.419 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.419 * [taylor]: Taking taylor expansion of U in U 1.419 * [backup-simplify]: Simplify 0 into 0 1.419 * [backup-simplify]: Simplify 1 into 1 1.419 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.419 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.420 * [backup-simplify]: Simplify (* 1 1) into 1 1.420 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 1.420 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 1.420 * [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))) 1.420 * [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))) 1.421 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.421 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.421 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.422 * [backup-simplify]: Simplify (+ 0) into 0 1.422 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.422 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.423 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.424 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.424 * [backup-simplify]: Simplify (- 0) into 0 1.424 * [backup-simplify]: Simplify (+ 0 0) into 0 1.425 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.425 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 1.425 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 1.426 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 1.427 * [backup-simplify]: Simplify (+ 0 0) into 0 1.427 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 1.427 * [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 1.427 * [taylor]: Taking taylor expansion of 2 in U 1.427 * [backup-simplify]: Simplify 2 into 2 1.427 * [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 1.427 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 1.427 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.427 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.427 * [taylor]: Taking taylor expansion of -1/2 in U 1.427 * [backup-simplify]: Simplify -1/2 into -1/2 1.427 * [taylor]: Taking taylor expansion of K in U 1.427 * [backup-simplify]: Simplify K into K 1.427 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.428 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.428 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.428 * [taylor]: Taking taylor expansion of J in U 1.428 * [backup-simplify]: Simplify J into J 1.428 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.428 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.428 * [backup-simplify]: Simplify (- 0) into 0 1.428 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.428 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 1.429 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 1.429 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 1.429 * [taylor]: Taking taylor expansion of 1 in U 1.429 * [backup-simplify]: Simplify 1 into 1 1.429 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 1.429 * [taylor]: Taking taylor expansion of 1/4 in U 1.429 * [backup-simplify]: Simplify 1/4 into 1/4 1.429 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 1.429 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.429 * [taylor]: Taking taylor expansion of J in U 1.429 * [backup-simplify]: Simplify J into J 1.429 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 1.429 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 1.429 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.429 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.429 * [taylor]: Taking taylor expansion of -1/2 in U 1.429 * [backup-simplify]: Simplify -1/2 into -1/2 1.429 * [taylor]: Taking taylor expansion of K in U 1.429 * [backup-simplify]: Simplify K into K 1.429 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.429 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.429 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.429 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.429 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.430 * [backup-simplify]: Simplify (- 0) into 0 1.430 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.430 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.430 * [taylor]: Taking taylor expansion of U in U 1.430 * [backup-simplify]: Simplify 0 into 0 1.430 * [backup-simplify]: Simplify 1 into 1 1.430 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.430 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.431 * [backup-simplify]: Simplify (* 1 1) into 1 1.431 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 1.431 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 1.431 * [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))) 1.431 * [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))) 1.432 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.432 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.432 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.433 * [backup-simplify]: Simplify (+ 0) into 0 1.433 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.433 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.434 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.435 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.435 * [backup-simplify]: Simplify (- 0) into 0 1.435 * [backup-simplify]: Simplify (+ 0 0) into 0 1.436 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.436 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 1.437 * [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 1.437 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 1.438 * [backup-simplify]: Simplify (+ 0 0) into 0 1.438 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 1.438 * [backup-simplify]: Simplify (* (/ (cos (/ -1/2 K)) J) (* 1/2 (/ J (cos (/ -1/2 K))))) into 1/2 1.439 * [backup-simplify]: Simplify (* 2 1/2) into 1 1.439 * [taylor]: Taking taylor expansion of 1 in K 1.439 * [backup-simplify]: Simplify 1 into 1 1.439 * [taylor]: Taking taylor expansion of 1 in J 1.439 * [backup-simplify]: Simplify 1 into 1 1.439 * [backup-simplify]: Simplify (+ 0) into 0 1.440 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.440 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.441 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.441 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.441 * [backup-simplify]: Simplify (- 0) into 0 1.442 * [backup-simplify]: Simplify (+ 0 0) into 0 1.442 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0 1.442 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 1.443 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0 1.443 * [taylor]: Taking taylor expansion of 0 in K 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 into 1 1.444 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.446 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.447 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.447 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.448 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.448 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.449 * [backup-simplify]: Simplify (- 0) into 0 1.449 * [backup-simplify]: Simplify (+ 0 0) into 0 1.450 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 1.450 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 1.451 * [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 1.452 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 1.452 * [backup-simplify]: Simplify (+ 1 0) into 1 1.453 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 1.454 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.455 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.455 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.458 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.459 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.459 * [backup-simplify]: Simplify (- 0) into 0 1.459 * [backup-simplify]: Simplify (+ 0 0) into 0 1.460 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.460 * [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)) 1.461 * [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))) 1.461 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in K 1.461 * [taylor]: Taking taylor expansion of 2 in K 1.461 * [backup-simplify]: Simplify 2 into 2 1.461 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in K 1.461 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) 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 1.462 * [taylor]: Taking taylor expansion of -1/2 in K 1.462 * [backup-simplify]: Simplify -1/2 into -1/2 1.462 * [taylor]: Taking taylor expansion of K in K 1.462 * [backup-simplify]: Simplify 0 into 0 1.462 * [backup-simplify]: Simplify 1 into 1 1.462 * [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 (pow J 2) in 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)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.462 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.463 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 1.463 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 1.463 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J 1.463 * [taylor]: Taking taylor expansion of 2 in J 1.463 * [backup-simplify]: Simplify 2 into 2 1.463 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J 1.463 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 1.463 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.463 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.463 * [taylor]: Taking taylor expansion of -1/2 in J 1.463 * [backup-simplify]: Simplify -1/2 into -1/2 1.463 * [taylor]: Taking taylor expansion of K in J 1.463 * [backup-simplify]: Simplify K into K 1.463 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.463 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.463 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.463 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.463 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.464 * [backup-simplify]: Simplify (- 0) into 0 1.464 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.464 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.464 * [taylor]: Taking taylor expansion of J in J 1.464 * [backup-simplify]: Simplify 0 into 0 1.464 * [backup-simplify]: Simplify 1 into 1 1.464 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.464 * [backup-simplify]: Simplify (* 1 1) into 1 1.464 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 1.465 * [backup-simplify]: Simplify (+ 0) into 0 1.465 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.465 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.465 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.466 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.466 * [backup-simplify]: Simplify (- 0) into 0 1.466 * [backup-simplify]: Simplify (+ 0 0) into 0 1.466 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.467 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.467 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 1.468 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 1.468 * [backup-simplify]: Simplify 0 into 0 1.468 * [taylor]: Taking taylor expansion of 0 in J 1.468 * [backup-simplify]: Simplify 0 into 0 1.468 * [taylor]: Taking taylor expansion of 0 in J 1.468 * [backup-simplify]: Simplify 0 into 0 1.468 * [backup-simplify]: Simplify 0 into 0 1.468 * [backup-simplify]: Simplify 0 into 0 1.468 * [backup-simplify]: Simplify 0 into 0 1.468 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 1.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.469 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.470 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.470 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.471 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.471 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.472 * [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 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 1.473 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) 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))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 1.474 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 1.474 * [backup-simplify]: Simplify (+ 0 0) into 0 1.474 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 1.475 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.475 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.476 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.477 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.477 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.477 * [backup-simplify]: Simplify (- 0) into 0 1.477 * [backup-simplify]: Simplify (+ 0 0) into 0 1.478 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.478 * [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 1.479 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 1.479 * [taylor]: Taking taylor expansion of 0 in K 1.479 * [backup-simplify]: Simplify 0 into 0 1.479 * [taylor]: Taking taylor expansion of 0 in J 1.479 * [backup-simplify]: Simplify 0 into 0 1.479 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.479 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.479 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 1.480 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) into 0 1.480 * [taylor]: Taking taylor expansion of 0 in J 1.480 * [backup-simplify]: Simplify 0 into 0 1.480 * [taylor]: Taking taylor expansion of 0 in J 1.480 * [backup-simplify]: Simplify 0 into 0 1.480 * [taylor]: Taking taylor expansion of 0 in J 1.480 * [backup-simplify]: Simplify 0 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 1.482 * [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 (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.484 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0 1.484 * [backup-simplify]: Simplify 0 into 0 1.484 * [backup-simplify]: Simplify 0 into 0 1.484 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U) 1.485 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 1.485 * [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)))) 1.485 * [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 1.485 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 1.485 * [taylor]: Taking taylor expansion of 1/4 in J 1.485 * [backup-simplify]: Simplify 1/4 into 1/4 1.485 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 1.485 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.485 * [taylor]: Taking taylor expansion of U in J 1.485 * [backup-simplify]: Simplify U into U 1.485 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 1.485 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 1.485 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.485 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.485 * [taylor]: Taking taylor expansion of 1/2 in J 1.485 * [backup-simplify]: Simplify 1/2 into 1/2 1.485 * [taylor]: Taking taylor expansion of K in J 1.485 * [backup-simplify]: Simplify K into K 1.485 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.485 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.485 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.485 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.485 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.485 * [backup-simplify]: Simplify (- 0) into 0 1.486 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.486 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.486 * [taylor]: Taking taylor expansion of J in J 1.486 * [backup-simplify]: Simplify 0 into 0 1.486 * [backup-simplify]: Simplify 1 into 1 1.486 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.486 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.486 * [backup-simplify]: Simplify (* 1 1) into 1 1.486 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 1.486 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 1.486 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 1.486 * [taylor]: Taking taylor expansion of 1/4 in K 1.486 * [backup-simplify]: Simplify 1/4 into 1/4 1.486 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 1.486 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.486 * [taylor]: Taking taylor expansion of U in K 1.486 * [backup-simplify]: Simplify U into U 1.486 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 1.486 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 1.486 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.486 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.486 * [taylor]: Taking taylor expansion of 1/2 in K 1.486 * [backup-simplify]: Simplify 1/2 into 1/2 1.486 * [taylor]: Taking taylor expansion of K in K 1.486 * [backup-simplify]: Simplify 0 into 0 1.486 * [backup-simplify]: Simplify 1 into 1 1.487 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.487 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.487 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.487 * [taylor]: Taking taylor expansion of J in K 1.487 * [backup-simplify]: Simplify J into J 1.487 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.487 * [backup-simplify]: Simplify (* 1 1) into 1 1.488 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.488 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 1.488 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 1.488 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 1.488 * [taylor]: Taking taylor expansion of 1/4 in U 1.488 * [backup-simplify]: Simplify 1/4 into 1/4 1.488 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 1.488 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.488 * [taylor]: Taking taylor expansion of U in U 1.488 * [backup-simplify]: Simplify 0 into 0 1.488 * [backup-simplify]: Simplify 1 into 1 1.488 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 1.488 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 1.488 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.488 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.488 * [taylor]: Taking taylor expansion of 1/2 in U 1.488 * [backup-simplify]: Simplify 1/2 into 1/2 1.488 * [taylor]: Taking taylor expansion of K in U 1.488 * [backup-simplify]: Simplify K into K 1.488 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.488 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.488 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.488 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.488 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.488 * [backup-simplify]: Simplify (- 0) into 0 1.488 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.488 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.488 * [taylor]: Taking taylor expansion of J in U 1.488 * [backup-simplify]: Simplify J into J 1.489 * [backup-simplify]: Simplify (* 1 1) into 1 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 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.489 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 1.489 * [taylor]: Taking taylor expansion of 1/4 in U 1.489 * [backup-simplify]: Simplify 1/4 into 1/4 1.489 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 1.489 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.489 * [taylor]: Taking taylor expansion of U in U 1.489 * [backup-simplify]: Simplify 0 into 0 1.489 * [backup-simplify]: Simplify 1 into 1 1.489 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 1.489 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 1.489 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.489 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.489 * [taylor]: Taking taylor expansion of 1/2 in U 1.489 * [backup-simplify]: Simplify 1/2 into 1/2 1.489 * [taylor]: Taking taylor expansion of K in U 1.489 * [backup-simplify]: Simplify K into K 1.489 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.489 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.489 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.489 * [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 1.490 * [backup-simplify]: Simplify (- 0) into 0 1.490 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.490 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.490 * [taylor]: Taking taylor expansion of J in U 1.490 * [backup-simplify]: Simplify J into J 1.490 * [backup-simplify]: Simplify (* 1 1) into 1 1.490 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.490 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.490 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 1.490 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.491 * [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))) 1.491 * [taylor]: Taking taylor expansion of (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 1.491 * [taylor]: Taking taylor expansion of 1/4 in K 1.491 * [backup-simplify]: Simplify 1/4 into 1/4 1.491 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 1.491 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 1.491 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.491 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.491 * [taylor]: Taking taylor expansion of 1/2 in K 1.491 * [backup-simplify]: Simplify 1/2 into 1/2 1.491 * [taylor]: Taking taylor expansion of K in K 1.491 * [backup-simplify]: Simplify 0 into 0 1.491 * [backup-simplify]: Simplify 1 into 1 1.491 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.492 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.492 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.492 * [taylor]: Taking taylor expansion of J in K 1.492 * [backup-simplify]: Simplify J into J 1.492 * [backup-simplify]: Simplify (* 1 1) into 1 1.492 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.492 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 1.492 * [backup-simplify]: Simplify (/ 1/4 (pow J 2)) into (/ 1/4 (pow J 2)) 1.492 * [taylor]: Taking taylor expansion of (/ 1/4 (pow J 2)) in J 1.492 * [taylor]: Taking taylor expansion of 1/4 in J 1.492 * [backup-simplify]: Simplify 1/4 into 1/4 1.492 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.492 * [taylor]: Taking taylor expansion of J in J 1.492 * [backup-simplify]: Simplify 0 into 0 1.492 * [backup-simplify]: Simplify 1 into 1 1.492 * [backup-simplify]: Simplify (* 1 1) into 1 1.493 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 1.493 * [backup-simplify]: Simplify 1/4 into 1/4 1.493 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.493 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.493 * [backup-simplify]: Simplify (+ 0) into 0 1.494 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.494 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.494 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.495 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.495 * [backup-simplify]: Simplify (- 0) into 0 1.495 * [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 (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 1.496 * [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 1.496 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 1.496 * [taylor]: Taking taylor expansion of 0 in K 1.496 * [backup-simplify]: Simplify 0 into 0 1.496 * [taylor]: Taking taylor expansion of 0 in J 1.496 * [backup-simplify]: Simplify 0 into 0 1.496 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.497 * [backup-simplify]: Simplify (+ 0) into 0 1.497 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.497 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 1.497 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/4 (pow J 2)) (/ 0 (pow J 2))))) into 0 1.497 * [taylor]: Taking taylor expansion of 0 in J 1.498 * [backup-simplify]: Simplify 0 into 0 1.498 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.498 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 1.498 * [backup-simplify]: Simplify 0 into 0 1.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.499 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.500 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.500 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.501 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 1.501 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.502 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.502 * [backup-simplify]: Simplify (- 0) into 0 1.502 * [backup-simplify]: Simplify (+ 0 0) into 0 1.503 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 1.503 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0 1.504 * [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 1.504 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 1.504 * [taylor]: Taking taylor expansion of 0 in K 1.504 * [backup-simplify]: Simplify 0 into 0 1.504 * [taylor]: Taking taylor expansion of 0 in J 1.504 * [backup-simplify]: Simplify 0 into 0 1.504 * [taylor]: Taking taylor expansion of 0 in J 1.504 * [backup-simplify]: Simplify 0 into 0 1.505 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.505 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 1.506 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (* -1/8 1))) into -1/4 1.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/4 (pow J 2)))) into (- (* 1/4 (pow J 2))) 1.507 * [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))) 1.507 * [taylor]: Taking taylor expansion of (* 1/16 (/ 1 (pow J 2))) in J 1.507 * [taylor]: Taking taylor expansion of 1/16 in J 1.507 * [backup-simplify]: Simplify 1/16 into 1/16 1.507 * [taylor]: Taking taylor expansion of (/ 1 (pow J 2)) in J 1.507 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.507 * [taylor]: Taking taylor expansion of J in J 1.507 * [backup-simplify]: Simplify 0 into 0 1.507 * [backup-simplify]: Simplify 1 into 1 1.507 * [backup-simplify]: Simplify (* 1 1) into 1 1.507 * [backup-simplify]: Simplify (/ 1 1) into 1 1.508 * [backup-simplify]: Simplify (* 1/16 1) into 1/16 1.508 * [backup-simplify]: Simplify 1/16 into 1/16 1.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.509 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.510 * [backup-simplify]: Simplify 0 into 0 1.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.512 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 1.512 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.513 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.514 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 1.516 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.517 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.517 * [backup-simplify]: Simplify (- 0) into 0 1.518 * [backup-simplify]: Simplify (+ 0 0) into 0 1.518 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0 1.519 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2))))) into 0 1.520 * [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 1.521 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) into 0 1.522 * [taylor]: Taking taylor expansion of 0 in K 1.522 * [backup-simplify]: Simplify 0 into 0 1.522 * [taylor]: Taking taylor expansion of 0 in J 1.522 * [backup-simplify]: Simplify 0 into 0 1.522 * [taylor]: Taking taylor expansion of 0 in J 1.522 * [backup-simplify]: Simplify 0 into 0 1.522 * [taylor]: Taking taylor expansion of 0 in J 1.522 * [backup-simplify]: Simplify 0 into 0 1.523 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 1.524 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1.525 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.526 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/8) (+ (* -1/8 0) (* 0 1)))) into 0 1.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (* 0 (pow J 2))))) into 0 1.528 * [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 1.528 * [taylor]: Taking taylor expansion of 0 in J 1.528 * [backup-simplify]: Simplify 0 into 0 1.529 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.530 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 1)) into 0 1.530 * [backup-simplify]: Simplify 0 into 0 1.530 * [backup-simplify]: Simplify 0 into 0 1.530 * [backup-simplify]: Simplify 0 into 0 1.531 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.532 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.532 * [backup-simplify]: Simplify 0 into 0 1.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.535 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 J))))) into 0 1.537 * [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 1.538 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.540 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0 1.541 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.542 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 1.542 * [backup-simplify]: Simplify (- 0) into 0 1.543 * [backup-simplify]: Simplify (+ 0 0) into 0 1.544 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))))) into 0 1.545 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2)))))) into 0 1.546 * [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 1.548 * [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 1.548 * [taylor]: Taking taylor expansion of 0 in K 1.548 * [backup-simplify]: Simplify 0 into 0 1.548 * [taylor]: Taking taylor expansion of 0 in J 1.548 * [backup-simplify]: Simplify 0 into 0 1.548 * [taylor]: Taking taylor expansion of 0 in J 1.548 * [backup-simplify]: Simplify 0 into 0 1.548 * [taylor]: Taking taylor expansion of 0 in J 1.548 * [backup-simplify]: Simplify 0 into 0 1.548 * [taylor]: Taking taylor expansion of 0 in J 1.548 * [backup-simplify]: Simplify 0 into 0 1.550 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 J))))) into 0 1.551 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.554 * [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 1.556 * [backup-simplify]: Simplify (+ (* 1 1/384) (+ (* 0 0) (+ (* -1/8 -1/8) (+ (* 0 0) (* 1/384 1))))) into 1/48 1.558 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (+ (* 0 0) (* 1/48 (pow J 2)))))) into (* 1/48 (pow J 2)) 1.559 * [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))) 1.559 * [taylor]: Taking taylor expansion of (* 1/96 (/ 1 (pow J 2))) in J 1.559 * [taylor]: Taking taylor expansion of 1/96 in J 1.559 * [backup-simplify]: Simplify 1/96 into 1/96 1.559 * [taylor]: Taking taylor expansion of (/ 1 (pow J 2)) in J 1.559 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.559 * [taylor]: Taking taylor expansion of J in J 1.559 * [backup-simplify]: Simplify 0 into 0 1.559 * [backup-simplify]: Simplify 1 into 1 1.559 * [backup-simplify]: Simplify (* 1 1) into 1 1.560 * [backup-simplify]: Simplify (/ 1 1) into 1 1.560 * [backup-simplify]: Simplify (* 1/96 1) into 1/96 1.560 * [backup-simplify]: Simplify 1/96 into 1/96 1.561 * [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))))) 1.561 * [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)))) 1.562 * [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 1.562 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 1.562 * [taylor]: Taking taylor expansion of 1/4 in J 1.562 * [backup-simplify]: Simplify 1/4 into 1/4 1.562 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 1.562 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.562 * [taylor]: Taking taylor expansion of J in J 1.562 * [backup-simplify]: Simplify 0 into 0 1.562 * [backup-simplify]: Simplify 1 into 1 1.562 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 1.562 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.562 * [taylor]: Taking taylor expansion of U in J 1.562 * [backup-simplify]: Simplify U into U 1.562 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 1.562 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.562 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.562 * [taylor]: Taking taylor expansion of 1/2 in J 1.562 * [backup-simplify]: Simplify 1/2 into 1/2 1.562 * [taylor]: Taking taylor expansion of K in J 1.562 * [backup-simplify]: Simplify K into K 1.562 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.562 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.562 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.562 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.562 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.563 * [backup-simplify]: Simplify (- 0) into 0 1.563 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.563 * [backup-simplify]: Simplify (* 1 1) into 1 1.563 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.563 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.564 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 1.564 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 1.564 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 1.564 * [taylor]: Taking taylor expansion of 1/4 in K 1.564 * [backup-simplify]: Simplify 1/4 into 1/4 1.564 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 1.564 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.564 * [taylor]: Taking taylor expansion of J in K 1.564 * [backup-simplify]: Simplify J into J 1.564 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 1.564 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.564 * [taylor]: Taking taylor expansion of U in K 1.564 * [backup-simplify]: Simplify U into U 1.564 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 1.564 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.564 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.564 * [taylor]: Taking taylor expansion of 1/2 in K 1.564 * [backup-simplify]: Simplify 1/2 into 1/2 1.564 * [taylor]: Taking taylor expansion of K in K 1.564 * [backup-simplify]: Simplify 0 into 0 1.564 * [backup-simplify]: Simplify 1 into 1 1.565 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.565 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.565 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.565 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.565 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.565 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 1.565 * [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))) 1.566 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 1.566 * [taylor]: Taking taylor expansion of 1/4 in U 1.566 * [backup-simplify]: Simplify 1/4 into 1/4 1.566 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 1.566 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.566 * [taylor]: Taking taylor expansion of J in U 1.566 * [backup-simplify]: Simplify J into J 1.566 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 1.566 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.566 * [taylor]: Taking taylor expansion of U in U 1.566 * [backup-simplify]: Simplify 0 into 0 1.566 * [backup-simplify]: Simplify 1 into 1 1.566 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 1.566 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.566 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.566 * [taylor]: Taking taylor expansion of 1/2 in U 1.566 * [backup-simplify]: Simplify 1/2 into 1/2 1.566 * [taylor]: Taking taylor expansion of K in U 1.566 * [backup-simplify]: Simplify K into K 1.566 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.566 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.566 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.566 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.566 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.567 * [backup-simplify]: Simplify (- 0) into 0 1.567 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.567 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.568 * [backup-simplify]: Simplify (* 1 1) into 1 1.568 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.568 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 1.568 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 1.568 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 1.568 * [taylor]: Taking taylor expansion of 1/4 in U 1.568 * [backup-simplify]: Simplify 1/4 into 1/4 1.568 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 1.568 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.568 * [taylor]: Taking taylor expansion of J in U 1.568 * [backup-simplify]: Simplify J into J 1.568 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 1.568 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.568 * [taylor]: Taking taylor expansion of U in U 1.568 * [backup-simplify]: Simplify 0 into 0 1.568 * [backup-simplify]: Simplify 1 into 1 1.568 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 1.568 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.568 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.568 * [taylor]: Taking taylor expansion of 1/2 in U 1.569 * [backup-simplify]: Simplify 1/2 into 1/2 1.569 * [taylor]: Taking taylor expansion of K in U 1.569 * [backup-simplify]: Simplify K into K 1.569 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.569 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.569 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.569 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.569 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.569 * [backup-simplify]: Simplify (- 0) into 0 1.569 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.569 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.570 * [backup-simplify]: Simplify (* 1 1) into 1 1.570 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.570 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 1.570 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 1.571 * [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))) 1.571 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in K 1.571 * [taylor]: Taking taylor expansion of 1/4 in K 1.571 * [backup-simplify]: Simplify 1/4 into 1/4 1.571 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in K 1.571 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.571 * [taylor]: Taking taylor expansion of J in K 1.571 * [backup-simplify]: Simplify J into J 1.571 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 1.571 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.571 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.571 * [taylor]: Taking taylor expansion of 1/2 in K 1.571 * [backup-simplify]: Simplify 1/2 into 1/2 1.571 * [taylor]: Taking taylor expansion of K in K 1.571 * [backup-simplify]: Simplify 0 into 0 1.571 * [backup-simplify]: Simplify 1 into 1 1.571 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.572 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.572 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.572 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.572 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 1.572 * [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))) 1.572 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 1.572 * [taylor]: Taking taylor expansion of 1/4 in J 1.572 * [backup-simplify]: Simplify 1/4 into 1/4 1.572 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 1.572 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.572 * [taylor]: Taking taylor expansion of J in J 1.572 * [backup-simplify]: Simplify 0 into 0 1.572 * [backup-simplify]: Simplify 1 into 1 1.572 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 1.572 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.572 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.572 * [taylor]: Taking taylor expansion of 1/2 in J 1.572 * [backup-simplify]: Simplify 1/2 into 1/2 1.572 * [taylor]: Taking taylor expansion of K in J 1.572 * [backup-simplify]: Simplify K into K 1.573 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.573 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.573 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.573 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.573 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.573 * [backup-simplify]: Simplify (- 0) into 0 1.573 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.574 * [backup-simplify]: Simplify (* 1 1) into 1 1.574 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.574 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 1.574 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1.574 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1.574 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.577 * [backup-simplify]: Simplify (+ 0) into 0 1.578 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.578 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.579 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.579 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.580 * [backup-simplify]: Simplify (- 0) into 0 1.580 * [backup-simplify]: Simplify (+ 0 0) into 0 1.580 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.581 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.581 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.582 * [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 1.582 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 1.583 * [taylor]: Taking taylor expansion of 0 in K 1.583 * [backup-simplify]: Simplify 0 into 0 1.583 * [taylor]: Taking taylor expansion of 0 in J 1.583 * [backup-simplify]: Simplify 0 into 0 1.583 * [backup-simplify]: Simplify 0 into 0 1.583 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.583 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.583 * [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 1.584 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 1.584 * [taylor]: Taking taylor expansion of 0 in J 1.584 * [backup-simplify]: Simplify 0 into 0 1.584 * [backup-simplify]: Simplify 0 into 0 1.585 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.585 * [backup-simplify]: Simplify (+ 0) into 0 1.586 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.586 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.586 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.587 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.587 * [backup-simplify]: Simplify (- 0) into 0 1.588 * [backup-simplify]: Simplify (+ 0 0) into 0 1.588 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.588 * [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 1.589 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 1.589 * [backup-simplify]: Simplify 0 into 0 1.589 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.590 * [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 1.591 * [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 1.592 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.593 * [backup-simplify]: Simplify (- 0) into 0 1.593 * [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 (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 1.596 * [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 1.597 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 1.597 * [taylor]: Taking taylor expansion of 0 in K 1.597 * [backup-simplify]: Simplify 0 into 0 1.598 * [taylor]: Taking taylor expansion of 0 in J 1.598 * [backup-simplify]: Simplify 0 into 0 1.598 * [backup-simplify]: Simplify 0 into 0 1.598 * [taylor]: Taking taylor expansion of 0 in J 1.598 * [backup-simplify]: Simplify 0 into 0 1.598 * [backup-simplify]: Simplify 0 into 0 1.598 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.599 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 1.599 * [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 1.600 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 1.600 * [taylor]: Taking taylor expansion of 0 in J 1.600 * [backup-simplify]: Simplify 0 into 0 1.600 * [backup-simplify]: Simplify 0 into 0 1.601 * [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)))) 1.601 * [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)))) 1.601 * [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 1.601 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 1.601 * [taylor]: Taking taylor expansion of 1/4 in J 1.601 * [backup-simplify]: Simplify 1/4 into 1/4 1.601 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 1.601 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.601 * [taylor]: Taking taylor expansion of J in J 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 U 2)) in J 1.601 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 1.601 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.601 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.601 * [taylor]: Taking taylor expansion of -1/2 in J 1.601 * [backup-simplify]: Simplify -1/2 into -1/2 1.601 * [taylor]: Taking taylor expansion of K in J 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 U 2) in J 1.602 * [taylor]: Taking taylor expansion of U in J 1.602 * [backup-simplify]: Simplify U into U 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 (* U U) into (pow U 2) 1.603 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 1.603 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 1.603 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 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 J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 1.603 * [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 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 1.604 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 1.604 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.604 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.604 * [taylor]: Taking taylor expansion of -1/2 in K 1.604 * [backup-simplify]: Simplify -1/2 into -1/2 1.604 * [taylor]: Taking taylor expansion of K in K 1.604 * [backup-simplify]: Simplify 0 into 0 1.604 * [backup-simplify]: Simplify 1 into 1 1.604 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.604 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.604 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.604 * [taylor]: Taking taylor expansion of U in K 1.604 * [backup-simplify]: Simplify U into U 1.604 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.605 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.605 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.605 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 1.605 * [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))) 1.605 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 1.605 * [taylor]: Taking taylor expansion of 1/4 in U 1.605 * [backup-simplify]: Simplify 1/4 into 1/4 1.605 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 1.605 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.605 * [taylor]: Taking taylor expansion of J in U 1.605 * [backup-simplify]: Simplify J into J 1.605 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 1.605 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 1.605 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.605 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.605 * [taylor]: Taking taylor expansion of -1/2 in U 1.605 * [backup-simplify]: Simplify -1/2 into -1/2 1.605 * [taylor]: Taking taylor expansion of K in U 1.605 * [backup-simplify]: Simplify K into K 1.605 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.606 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.606 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.606 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.606 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.606 * [backup-simplify]: Simplify (- 0) into 0 1.606 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.606 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.606 * [taylor]: Taking taylor expansion of U in U 1.606 * [backup-simplify]: Simplify 0 into 0 1.606 * [backup-simplify]: Simplify 1 into 1 1.606 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.607 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.607 * [backup-simplify]: Simplify (* 1 1) into 1 1.607 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 1.607 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 1.607 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 1.607 * [taylor]: Taking taylor expansion of 1/4 in U 1.607 * [backup-simplify]: Simplify 1/4 into 1/4 1.607 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 1.607 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.607 * [taylor]: Taking taylor expansion of J in U 1.607 * [backup-simplify]: Simplify J into J 1.608 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 1.608 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 1.608 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.608 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.608 * [taylor]: Taking taylor expansion of -1/2 in U 1.608 * [backup-simplify]: Simplify -1/2 into -1/2 1.608 * [taylor]: Taking taylor expansion of K in U 1.608 * [backup-simplify]: Simplify K into K 1.608 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.608 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.608 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.608 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.608 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.609 * [backup-simplify]: Simplify (- 0) into 0 1.609 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.609 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.609 * [taylor]: Taking taylor expansion of U in U 1.609 * [backup-simplify]: Simplify 0 into 0 1.609 * [backup-simplify]: Simplify 1 into 1 1.609 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.609 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.609 * [backup-simplify]: Simplify (* 1 1) into 1 1.609 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 1.610 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 1.610 * [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))) 1.610 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in K 1.610 * [taylor]: Taking taylor expansion of 1/4 in K 1.610 * [backup-simplify]: Simplify 1/4 into 1/4 1.610 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in K 1.610 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.610 * [taylor]: Taking taylor expansion of J in K 1.610 * [backup-simplify]: Simplify J into J 1.610 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 1.610 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.610 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.610 * [taylor]: Taking taylor expansion of -1/2 in K 1.610 * [backup-simplify]: Simplify -1/2 into -1/2 1.610 * [taylor]: Taking taylor expansion of K in K 1.610 * [backup-simplify]: Simplify 0 into 0 1.610 * [backup-simplify]: Simplify 1 into 1 1.611 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.611 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.611 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.611 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.611 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 1.611 * [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))) 1.611 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 1.612 * [taylor]: Taking taylor expansion of 1/4 in J 1.612 * [backup-simplify]: Simplify 1/4 into 1/4 1.612 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 1.612 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.612 * [taylor]: Taking taylor expansion of J in J 1.612 * [backup-simplify]: Simplify 0 into 0 1.612 * [backup-simplify]: Simplify 1 into 1 1.612 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 1.612 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.612 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.612 * [taylor]: Taking taylor expansion of -1/2 in J 1.612 * [backup-simplify]: Simplify -1/2 into -1/2 1.612 * [taylor]: Taking taylor expansion of K in J 1.612 * [backup-simplify]: Simplify K into K 1.612 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.612 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.612 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.612 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.612 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.613 * [backup-simplify]: Simplify (- 0) into 0 1.613 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.613 * [backup-simplify]: Simplify (* 1 1) into 1 1.613 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.613 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 1.614 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1.614 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1.614 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.615 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.615 * [backup-simplify]: Simplify (+ 0) into 0 1.615 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.616 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.616 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.617 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.618 * [backup-simplify]: Simplify (- 0) into 0 1.618 * [backup-simplify]: Simplify (+ 0 0) into 0 1.618 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.619 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 1.619 * [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 1.620 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 1.620 * [taylor]: Taking taylor expansion of 0 in K 1.620 * [backup-simplify]: Simplify 0 into 0 1.620 * [taylor]: Taking taylor expansion of 0 in J 1.620 * [backup-simplify]: Simplify 0 into 0 1.620 * [backup-simplify]: Simplify 0 into 0 1.620 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.620 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.621 * [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 1.621 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 1.621 * [taylor]: Taking taylor expansion of 0 in J 1.621 * [backup-simplify]: Simplify 0 into 0 1.621 * [backup-simplify]: Simplify 0 into 0 1.622 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.622 * [backup-simplify]: Simplify (+ 0) into 0 1.623 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.623 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.624 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.624 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.625 * [backup-simplify]: Simplify (- 0) into 0 1.625 * [backup-simplify]: Simplify (+ 0 0) into 0 1.625 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.626 * [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 1.626 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 1.626 * [backup-simplify]: Simplify 0 into 0 1.627 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.629 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.629 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.629 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.630 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.631 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.631 * [backup-simplify]: Simplify (- 0) into 0 1.631 * [backup-simplify]: Simplify (+ 0 0) into 0 1.632 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 1.633 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 1.633 * [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 1.634 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 1.634 * [taylor]: Taking taylor expansion of 0 in K 1.634 * [backup-simplify]: Simplify 0 into 0 1.634 * [taylor]: Taking taylor expansion of 0 in J 1.634 * [backup-simplify]: Simplify 0 into 0 1.634 * [backup-simplify]: Simplify 0 into 0 1.634 * [taylor]: Taking taylor expansion of 0 in J 1.634 * [backup-simplify]: Simplify 0 into 0 1.634 * [backup-simplify]: Simplify 0 into 0 1.635 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.636 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 1.636 * [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))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 1.637 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 1.637 * [taylor]: Taking taylor expansion of 0 in J 1.637 * [backup-simplify]: Simplify 0 into 0 1.637 * [backup-simplify]: Simplify 0 into 0 1.638 * [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)))) 1.638 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.638 * [backup-simplify]: Simplify (* (cos (/ K 2)) J) into (* (cos (* 1/2 K)) J) 1.638 * [approximate]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in (K J) around 0 1.638 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 1.638 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.638 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.638 * [taylor]: Taking taylor expansion of 1/2 in J 1.638 * [backup-simplify]: Simplify 1/2 into 1/2 1.638 * [taylor]: Taking taylor expansion of K in J 1.638 * [backup-simplify]: Simplify K into K 1.638 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.638 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.638 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.638 * [taylor]: Taking taylor expansion of J in J 1.638 * [backup-simplify]: Simplify 0 into 0 1.638 * [backup-simplify]: Simplify 1 into 1 1.638 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 1.638 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.638 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.638 * [taylor]: Taking taylor expansion of 1/2 in K 1.638 * [backup-simplify]: Simplify 1/2 into 1/2 1.638 * [taylor]: Taking taylor expansion of K in K 1.639 * [backup-simplify]: Simplify 0 into 0 1.639 * [backup-simplify]: Simplify 1 into 1 1.639 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.640 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.640 * [taylor]: Taking taylor expansion of J in K 1.640 * [backup-simplify]: Simplify J into J 1.640 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 1.640 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.640 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.640 * [taylor]: Taking taylor expansion of 1/2 in K 1.640 * [backup-simplify]: Simplify 1/2 into 1/2 1.640 * [taylor]: Taking taylor expansion of K in K 1.640 * [backup-simplify]: Simplify 0 into 0 1.640 * [backup-simplify]: Simplify 1 into 1 1.640 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.641 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.641 * [taylor]: Taking taylor expansion of J in K 1.641 * [backup-simplify]: Simplify J into J 1.641 * [backup-simplify]: Simplify (* 1 J) into J 1.641 * [taylor]: Taking taylor expansion of J in J 1.641 * [backup-simplify]: Simplify 0 into 0 1.641 * [backup-simplify]: Simplify 1 into 1 1.641 * [backup-simplify]: Simplify 0 into 0 1.642 * [backup-simplify]: Simplify (+ 0) into 0 1.642 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 1.642 * [taylor]: Taking taylor expansion of 0 in J 1.642 * [backup-simplify]: Simplify 0 into 0 1.642 * [backup-simplify]: Simplify 0 into 0 1.642 * [backup-simplify]: Simplify 1 into 1 1.643 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 1.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J)) 1.644 * [taylor]: Taking taylor expansion of (- (* 1/8 J)) in J 1.644 * [taylor]: Taking taylor expansion of (* 1/8 J) in J 1.644 * [taylor]: Taking taylor expansion of 1/8 in J 1.644 * [backup-simplify]: Simplify 1/8 into 1/8 1.644 * [taylor]: Taking taylor expansion of J in J 1.644 * [backup-simplify]: Simplify 0 into 0 1.644 * [backup-simplify]: Simplify 1 into 1 1.645 * [backup-simplify]: Simplify (* 1/8 0) into 0 1.645 * [backup-simplify]: Simplify (- 0) into 0 1.645 * [backup-simplify]: Simplify 0 into 0 1.645 * [backup-simplify]: Simplify 0 into 0 1.645 * [backup-simplify]: Simplify 0 into 0 1.646 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1.648 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0 1.649 * [taylor]: Taking taylor expansion of 0 in J 1.649 * [backup-simplify]: Simplify 0 into 0 1.649 * [backup-simplify]: Simplify 0 into 0 1.650 * [backup-simplify]: Simplify (+ (* 1/8 1) (* 0 0)) into 1/8 1.650 * [backup-simplify]: Simplify (- 1/8) into -1/8 1.650 * [backup-simplify]: Simplify -1/8 into -1/8 1.650 * [backup-simplify]: Simplify 0 into 0 1.650 * [backup-simplify]: Simplify 0 into 0 1.651 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.654 * [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 1.656 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (+ (* 0 0) (* 1/384 J))))) into (* 1/384 J) 1.656 * [taylor]: Taking taylor expansion of (* 1/384 J) in J 1.656 * [taylor]: Taking taylor expansion of 1/384 in J 1.656 * [backup-simplify]: Simplify 1/384 into 1/384 1.656 * [taylor]: Taking taylor expansion of J in J 1.656 * [backup-simplify]: Simplify 0 into 0 1.656 * [backup-simplify]: Simplify 1 into 1 1.657 * [backup-simplify]: Simplify (* 1/384 0) into 0 1.657 * [backup-simplify]: Simplify 0 into 0 1.657 * [backup-simplify]: Simplify 0 into 0 1.658 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 1) (* 0 0))) into 0 1.658 * [backup-simplify]: Simplify (- 0) into 0 1.658 * [backup-simplify]: Simplify 0 into 0 1.659 * [backup-simplify]: Simplify 0 into 0 1.659 * [backup-simplify]: Simplify (+ (* -1/8 (* J (pow K 2))) (* 1 (* J 1))) into (- J (* 1/8 (* (pow K 2) J))) 1.659 * [backup-simplify]: Simplify (* (cos (/ (/ 1 K) 2)) (/ 1 J)) into (/ (cos (/ 1/2 K)) J) 1.659 * [approximate]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in (K J) around 0 1.659 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 1.659 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.659 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.659 * [taylor]: Taking taylor expansion of 1/2 in J 1.659 * [backup-simplify]: Simplify 1/2 into 1/2 1.659 * [taylor]: Taking taylor expansion of K in J 1.659 * [backup-simplify]: Simplify K into K 1.659 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.659 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.659 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.659 * [taylor]: Taking taylor expansion of J in J 1.659 * [backup-simplify]: Simplify 0 into 0 1.659 * [backup-simplify]: Simplify 1 into 1 1.660 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.660 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.660 * [backup-simplify]: Simplify (- 0) into 0 1.660 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.660 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.660 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 1.660 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.660 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.660 * [taylor]: Taking taylor expansion of 1/2 in K 1.660 * [backup-simplify]: Simplify 1/2 into 1/2 1.660 * [taylor]: Taking taylor expansion of K in K 1.660 * [backup-simplify]: Simplify 0 into 0 1.660 * [backup-simplify]: Simplify 1 into 1 1.661 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.661 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.661 * [taylor]: Taking taylor expansion of J in K 1.661 * [backup-simplify]: Simplify J into J 1.661 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 1.661 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 1.661 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.661 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.661 * [taylor]: Taking taylor expansion of 1/2 in K 1.661 * [backup-simplify]: Simplify 1/2 into 1/2 1.661 * [taylor]: Taking taylor expansion of K in K 1.661 * [backup-simplify]: Simplify 0 into 0 1.661 * [backup-simplify]: Simplify 1 into 1 1.662 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.662 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.662 * [taylor]: Taking taylor expansion of J in K 1.662 * [backup-simplify]: Simplify J into J 1.662 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 1.662 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 1.662 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.662 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.662 * [taylor]: Taking taylor expansion of 1/2 in J 1.662 * [backup-simplify]: Simplify 1/2 into 1/2 1.662 * [taylor]: Taking taylor expansion of K in J 1.662 * [backup-simplify]: Simplify K into K 1.662 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.662 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.662 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.662 * [taylor]: Taking taylor expansion of J in J 1.662 * [backup-simplify]: Simplify 0 into 0 1.663 * [backup-simplify]: Simplify 1 into 1 1.663 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.663 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.663 * [backup-simplify]: Simplify (- 0) into 0 1.663 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.663 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.663 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.664 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 1.664 * [taylor]: Taking taylor expansion of 0 in J 1.664 * [backup-simplify]: Simplify 0 into 0 1.664 * [backup-simplify]: Simplify (+ 0) into 0 1.665 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.665 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.666 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.666 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.666 * [backup-simplify]: Simplify (- 0) into 0 1.667 * [backup-simplify]: Simplify (+ 0 0) into 0 1.668 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 1.668 * [backup-simplify]: Simplify 0 into 0 1.668 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.668 * [taylor]: Taking taylor expansion of 0 in J 1.668 * [backup-simplify]: Simplify 0 into 0 1.668 * [backup-simplify]: Simplify 0 into 0 1.669 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.670 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.670 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.671 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.671 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.671 * [backup-simplify]: Simplify (- 0) into 0 1.672 * [backup-simplify]: Simplify (+ 0 0) into 0 1.673 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.673 * [backup-simplify]: Simplify 0 into 0 1.674 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.674 * [taylor]: Taking taylor expansion of 0 in J 1.674 * [backup-simplify]: Simplify 0 into 0 1.674 * [backup-simplify]: Simplify 0 into 0 1.674 * [backup-simplify]: Simplify 0 into 0 1.675 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.676 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.676 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.678 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.678 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.679 * [backup-simplify]: Simplify (- 0) into 0 1.679 * [backup-simplify]: Simplify (+ 0 0) into 0 1.681 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.681 * [backup-simplify]: Simplify 0 into 0 1.681 * [backup-simplify]: Simplify (* (cos (/ 1/2 (/ 1 K))) (* (/ 1 (/ 1 J)) 1)) into (* (cos (* 1/2 K)) J) 1.682 * [backup-simplify]: Simplify (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))) into (* -1 (/ (cos (/ -1/2 K)) J)) 1.682 * [approximate]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 K)) J)) in (K J) around 0 1.682 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 K)) J)) in J 1.682 * [taylor]: Taking taylor expansion of -1 in J 1.682 * [backup-simplify]: Simplify -1 into -1 1.682 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 1.682 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.682 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.682 * [taylor]: Taking taylor expansion of -1/2 in J 1.682 * [backup-simplify]: Simplify -1/2 into -1/2 1.682 * [taylor]: Taking taylor expansion of K in J 1.682 * [backup-simplify]: Simplify K into K 1.682 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.682 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.682 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.682 * [taylor]: Taking taylor expansion of J in J 1.682 * [backup-simplify]: Simplify 0 into 0 1.682 * [backup-simplify]: Simplify 1 into 1 1.682 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.682 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.683 * [backup-simplify]: Simplify (- 0) into 0 1.683 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.683 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.683 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 K)) J)) in K 1.683 * [taylor]: Taking taylor expansion of -1 in K 1.683 * [backup-simplify]: Simplify -1 into -1 1.683 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 1.683 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.683 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.683 * [taylor]: Taking taylor expansion of -1/2 in K 1.683 * [backup-simplify]: Simplify -1/2 into -1/2 1.683 * [taylor]: Taking taylor expansion of K in K 1.683 * [backup-simplify]: Simplify 0 into 0 1.683 * [backup-simplify]: Simplify 1 into 1 1.684 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.684 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.684 * [taylor]: Taking taylor expansion of J in K 1.684 * [backup-simplify]: Simplify J into J 1.684 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 1.684 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 K)) J)) in K 1.684 * [taylor]: Taking taylor expansion of -1 in K 1.684 * [backup-simplify]: Simplify -1 into -1 1.684 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 1.684 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.684 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.684 * [taylor]: Taking taylor expansion of -1/2 in K 1.684 * [backup-simplify]: Simplify -1/2 into -1/2 1.684 * [taylor]: Taking taylor expansion of K in K 1.684 * [backup-simplify]: Simplify 0 into 0 1.684 * [backup-simplify]: Simplify 1 into 1 1.685 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.685 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.685 * [taylor]: Taking taylor expansion of J in K 1.685 * [backup-simplify]: Simplify J into J 1.685 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 1.685 * [backup-simplify]: Simplify (* -1 (/ (cos (/ -1/2 K)) J)) into (* -1 (/ (cos (/ -1/2 K)) J)) 1.685 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 K)) J)) in J 1.685 * [taylor]: Taking taylor expansion of -1 in J 1.685 * [backup-simplify]: Simplify -1 into -1 1.685 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 1.685 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.685 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.685 * [taylor]: Taking taylor expansion of -1/2 in J 1.685 * [backup-simplify]: Simplify -1/2 into -1/2 1.685 * [taylor]: Taking taylor expansion of K in J 1.685 * [backup-simplify]: Simplify K into K 1.685 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.685 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.686 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.686 * [taylor]: Taking taylor expansion of J in J 1.686 * [backup-simplify]: Simplify 0 into 0 1.686 * [backup-simplify]: Simplify 1 into 1 1.686 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.686 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.686 * [backup-simplify]: Simplify (- 0) into 0 1.686 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.686 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.686 * [backup-simplify]: Simplify (* -1 (cos (/ -1/2 K))) into (* -1 (cos (/ -1/2 K))) 1.687 * [backup-simplify]: Simplify (* -1 (cos (/ -1/2 K))) into (* -1 (cos (/ -1/2 K))) 1.687 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0 1.687 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (cos (/ -1/2 K)) J))) into 0 1.687 * [taylor]: Taking taylor expansion of 0 in J 1.687 * [backup-simplify]: Simplify 0 into 0 1.688 * [backup-simplify]: Simplify (+ 0) into 0 1.688 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.688 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.689 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.690 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.690 * [backup-simplify]: Simplify (- 0) into 0 1.690 * [backup-simplify]: Simplify (+ 0 0) into 0 1.691 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 1.692 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cos (/ -1/2 K)))) into 0 1.692 * [backup-simplify]: Simplify 0 into 0 1.692 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.693 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (cos (/ -1/2 K)) J)))) into 0 1.693 * [taylor]: Taking taylor expansion of 0 in J 1.693 * [backup-simplify]: Simplify 0 into 0 1.693 * [backup-simplify]: Simplify 0 into 0 1.694 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.695 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.695 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.696 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.697 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.697 * [backup-simplify]: Simplify (- 0) into 0 1.697 * [backup-simplify]: Simplify (+ 0 0) into 0 1.699 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.700 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 1.700 * [backup-simplify]: Simplify 0 into 0 1.700 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.701 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ -1/2 K)) J))))) into 0 1.701 * [taylor]: Taking taylor expansion of 0 in J 1.701 * [backup-simplify]: Simplify 0 into 0 1.702 * [backup-simplify]: Simplify 0 into 0 1.702 * [backup-simplify]: Simplify 0 into 0 1.702 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.703 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.703 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.705 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.706 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.706 * [backup-simplify]: Simplify (- 0) into 0 1.706 * [backup-simplify]: Simplify (+ 0 0) into 0 1.708 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.710 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 1.710 * [backup-simplify]: Simplify 0 into 0 1.710 * [backup-simplify]: Simplify (* (* -1 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (/ 1 (- J))) 1)) into (* (cos (* 1/2 K)) J) 1.710 * * * [progress]: simplifying candidates 1.710 * * * * [progress]: [ 1 / 143 ] simplifiying candidate # 1.710 * * * * [progress]: [ 2 / 143 ] simplifiying candidate # 1.710 * * * * [progress]: [ 3 / 143 ] simplifiying candidate # 1.710 * * * * [progress]: [ 4 / 143 ] simplifiying candidate # 1.710 * * * * [progress]: [ 5 / 143 ] simplifiying candidate # 1.711 * * * * [progress]: [ 6 / 143 ] simplifiying candidate # 1.711 * * * * [progress]: [ 7 / 143 ] simplifiying candidate # 1.711 * [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)))) 1.711 * * [simplify]: iters left: 6 (15 enodes) 1.719 * * [simplify]: iters left: 5 (59 enodes) 1.732 * * [simplify]: iters left: 4 (112 enodes) 1.758 * * [simplify]: iters left: 3 (365 enodes) 2.000 * * [simplify]: Extracting #0: cost 1 inf + 0 2.000 * * [simplify]: Extracting #1: cost 4 inf + 0 2.000 * * [simplify]: Extracting #2: cost 7 inf + 0 2.000 * * [simplify]: Extracting #3: cost 10 inf + 0 2.001 * * [simplify]: Extracting #4: cost 121 inf + 1 2.003 * * [simplify]: Extracting #5: cost 240 inf + 89 2.006 * * [simplify]: Extracting #6: cost 202 inf + 3666 2.013 * * [simplify]: Extracting #7: cost 127 inf + 17960 2.024 * * [simplify]: Extracting #8: cost 13 inf + 45665 2.042 * * [simplify]: Extracting #9: cost 0 inf + 48778 2.071 * [simplify]: Simplified to (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) 2.071 * [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))) 2.072 * * * * [progress]: [ 8 / 143 ] simplifiying candidate # 2.072 * [simplify]: Simplifying (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) 2.072 * * [simplify]: iters left: 6 (14 enodes) 2.080 * * [simplify]: iters left: 5 (55 enodes) 2.098 * * [simplify]: iters left: 4 (108 enodes) 2.151 * * [simplify]: iters left: 3 (363 enodes) 2.451 * * [simplify]: Extracting #0: cost 1 inf + 0 2.451 * * [simplify]: Extracting #1: cost 3 inf + 0 2.451 * * [simplify]: Extracting #2: cost 5 inf + 0 2.451 * * [simplify]: Extracting #3: cost 8 inf + 0 2.451 * * [simplify]: Extracting #4: cost 123 inf + 1 2.454 * * [simplify]: Extracting #5: cost 233 inf + 420 2.457 * * [simplify]: Extracting #6: cost 202 inf + 3094 2.465 * * [simplify]: Extracting #7: cost 126 inf + 18949 2.492 * * [simplify]: Extracting #8: cost 7 inf + 46677 2.521 * * [simplify]: Extracting #9: cost 0 inf + 48049 2.550 * [simplify]: Simplified to (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 2.550 * [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))) 2.550 * * * * [progress]: [ 9 / 143 ] simplifiying candidate # 2.551 * [simplify]: Simplifying (sqrt 1) 2.551 * * [simplify]: iters left: 1 (2 enodes) 2.554 * * [simplify]: Extracting #0: cost 1 inf + 0 2.554 * * [simplify]: Extracting #1: cost 0 inf + 1 2.554 * [simplify]: Simplified to 1 2.554 * [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))) 2.555 * * * * [progress]: [ 10 / 143 ] simplifiying candidate # 2.555 * [simplify]: Simplifying (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3))) 2.555 * * [simplify]: iters left: 6 (16 enodes) 2.565 * * [simplify]: iters left: 5 (70 enodes) 2.585 * * [simplify]: iters left: 4 (176 enodes) 2.684 * * [simplify]: Extracting #0: cost 1 inf + 0 2.684 * * [simplify]: Extracting #1: cost 3 inf + 0 2.684 * * [simplify]: Extracting #2: cost 6 inf + 0 2.684 * * [simplify]: Extracting #3: cost 103 inf + 1 2.686 * * [simplify]: Extracting #4: cost 306 inf + 6 2.688 * * [simplify]: Extracting #5: cost 338 inf + 1810 2.696 * * [simplify]: Extracting #6: cost 242 inf + 27932 2.717 * * [simplify]: Extracting #7: cost 28 inf + 100762 2.749 * * [simplify]: Extracting #8: cost 0 inf + 110036 2.774 * [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))))))) 2.774 * [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))) 2.775 * * * * [progress]: [ 11 / 143 ] simplifiying candidate # 2.775 * [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))) 2.775 * * [simplify]: iters left: 6 (15 enodes) 2.783 * * [simplify]: iters left: 5 (62 enodes) 2.804 * * [simplify]: iters left: 4 (150 enodes) 2.923 * * [simplify]: Extracting #0: cost 1 inf + 0 2.923 * * [simplify]: Extracting #1: cost 3 inf + 0 2.923 * * [simplify]: Extracting #2: cost 9 inf + 0 2.924 * * [simplify]: Extracting #3: cost 105 inf + 2 2.925 * * [simplify]: Extracting #4: cost 286 inf + 6 2.927 * * [simplify]: Extracting #5: cost 280 inf + 1923 2.936 * * [simplify]: Extracting #6: cost 190 inf + 25494 2.965 * * [simplify]: Extracting #7: cost 26 inf + 76271 3.005 * * [simplify]: Extracting #8: cost 0 inf + 85028 3.034 * [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)) 3.034 * [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))) 3.035 * * * * [progress]: [ 12 / 143 ] simplifiying candidate # 3.035 * [simplify]: Simplifying (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3.035 * * [simplify]: iters left: 6 (12 enodes) 3.042 * * [simplify]: iters left: 5 (49 enodes) 3.060 * * [simplify]: iters left: 4 (102 enodes) 3.111 * * [simplify]: iters left: 3 (356 enodes) 3.382 * * [simplify]: Extracting #0: cost 1 inf + 0 3.382 * * [simplify]: Extracting #1: cost 4 inf + 0 3.382 * * [simplify]: Extracting #2: cost 116 inf + 1 3.383 * * [simplify]: Extracting #3: cost 233 inf + 254 3.388 * * [simplify]: Extracting #4: cost 191 inf + 4198 3.392 * * [simplify]: Extracting #5: cost 121 inf + 19052 3.411 * * [simplify]: Extracting #6: cost 5 inf + 46127 3.432 * * [simplify]: Extracting #7: cost 0 inf + 46934 3.446 * * [simplify]: Extracting #8: cost 0 inf + 46815 3.467 * [simplify]: Simplified to (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 3.467 * [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))) 3.467 * * * * [progress]: [ 13 / 143 ] simplifiying candidate # 3.467 * * * * [progress]: [ 14 / 143 ] simplifiying candidate # 3.467 * [simplify]: Simplifying (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 3.467 * * [simplify]: iters left: 6 (13 enodes) 3.471 * * [simplify]: iters left: 5 (52 enodes) 3.482 * * [simplify]: iters left: 4 (105 enodes) 3.523 * * [simplify]: iters left: 3 (359 enodes) 3.751 * * [simplify]: Extracting #0: cost 1 inf + 0 3.751 * * [simplify]: Extracting #1: cost 3 inf + 0 3.751 * * [simplify]: Extracting #2: cost 6 inf + 0 3.752 * * [simplify]: Extracting #3: cost 117 inf + 1 3.754 * * [simplify]: Extracting #4: cost 234 inf + 336 3.757 * * [simplify]: Extracting #5: cost 191 inf + 4484 3.764 * * [simplify]: Extracting #6: cost 119 inf + 19165 3.790 * * [simplify]: Extracting #7: cost 7 inf + 45857 3.809 * * [simplify]: Extracting #8: cost 0 inf + 47305 3.823 * [simplify]: Simplified to (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 3.823 * [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))) 3.823 * * * * [progress]: [ 15 / 143 ] simplifiying candidate # 3.823 * * * * [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)))> 3.823 * * * * [progress]: [ 17 / 143 ] simplifiying candidate # 3.824 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)) 3.824 * * [simplify]: iters left: 6 (16 enodes) 3.829 * * [simplify]: iters left: 5 (67 enodes) 3.844 * * [simplify]: iters left: 4 (143 enodes) 3.887 * * [simplify]: iters left: 3 (434 enodes) 4.166 * * [simplify]: Extracting #0: cost 1 inf + 0 4.166 * * [simplify]: Extracting #1: cost 19 inf + 0 4.166 * * [simplify]: Extracting #2: cost 31 inf + 2 4.166 * * [simplify]: Extracting #3: cost 36 inf + 44 4.166 * * [simplify]: Extracting #4: cost 141 inf + 89 4.168 * * [simplify]: Extracting #5: cost 231 inf + 4256 4.180 * * [simplify]: Extracting #6: cost 39 inf + 43888 4.207 * * [simplify]: Extracting #7: cost 2 inf + 53876 4.237 * * [simplify]: Extracting #8: cost 0 inf + 54566 4.254 * [simplify]: Simplified to (* (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) J)) 4.254 * [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)) 4.254 * * * * [progress]: [ 18 / 143 ] simplifiying candidate # 4.255 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)) 4.255 * * [simplify]: iters left: 6 (16 enodes) 4.259 * * [simplify]: iters left: 5 (67 enodes) 4.282 * * [simplify]: iters left: 4 (143 enodes) 4.338 * * [simplify]: iters left: 3 (434 enodes) 4.611 * * [simplify]: Extracting #0: cost 1 inf + 0 4.611 * * [simplify]: Extracting #1: cost 19 inf + 0 4.611 * * [simplify]: Extracting #2: cost 31 inf + 2 4.611 * * [simplify]: Extracting #3: cost 36 inf + 44 4.612 * * [simplify]: Extracting #4: cost 141 inf + 89 4.616 * * [simplify]: Extracting #5: cost 231 inf + 4256 4.631 * * [simplify]: Extracting #6: cost 39 inf + 43888 4.651 * * [simplify]: Extracting #7: cost 2 inf + 53876 4.680 * * [simplify]: Extracting #8: cost 0 inf + 54566 4.697 * [simplify]: Simplified to (* (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) J)) 4.697 * [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)) 4.698 * * * * [progress]: [ 19 / 143 ] simplifiying candidate # 4.698 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)) 4.698 * * [simplify]: iters left: 6 (16 enodes) 4.704 * * [simplify]: iters left: 5 (67 enodes) 4.723 * * [simplify]: iters left: 4 (143 enodes) 4.793 * * [simplify]: iters left: 3 (434 enodes) 5.023 * * [simplify]: Extracting #0: cost 1 inf + 0 5.023 * * [simplify]: Extracting #1: cost 19 inf + 0 5.023 * * [simplify]: Extracting #2: cost 31 inf + 2 5.023 * * [simplify]: Extracting #3: cost 36 inf + 44 5.024 * * [simplify]: Extracting #4: cost 141 inf + 89 5.028 * * [simplify]: Extracting #5: cost 231 inf + 4256 5.050 * * [simplify]: Extracting #6: cost 39 inf + 43888 5.087 * * [simplify]: Extracting #7: cost 2 inf + 53876 5.122 * * [simplify]: Extracting #8: cost 0 inf + 54566 5.143 * [simplify]: Simplified to (* (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) J)) 5.144 * [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)) 5.144 * * * * [progress]: [ 20 / 143 ] simplifiying candidate # 5.144 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)) 5.144 * * [simplify]: iters left: 6 (16 enodes) 5.149 * * [simplify]: iters left: 5 (67 enodes) 5.161 * * [simplify]: iters left: 4 (143 enodes) 5.213 * * [simplify]: iters left: 3 (434 enodes) 5.453 * * [simplify]: Extracting #0: cost 1 inf + 0 5.453 * * [simplify]: Extracting #1: cost 19 inf + 0 5.453 * * [simplify]: Extracting #2: cost 31 inf + 2 5.453 * * [simplify]: Extracting #3: cost 36 inf + 44 5.454 * * [simplify]: Extracting #4: cost 141 inf + 89 5.456 * * [simplify]: Extracting #5: cost 231 inf + 4256 5.477 * * [simplify]: Extracting #6: cost 39 inf + 43888 5.511 * * [simplify]: Extracting #7: cost 2 inf + 53876 5.529 * * [simplify]: Extracting #8: cost 0 inf + 54566 5.547 * [simplify]: Simplified to (* (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) J)) 5.548 * [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)) 5.548 * * * * [progress]: [ 21 / 143 ] simplifiying candidate # 5.548 * * * * [progress]: [ 22 / 143 ] simplifiying candidate # 5.548 * [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))) 5.548 * * [simplify]: iters left: 6 (21 enodes) 5.554 * * [simplify]: iters left: 5 (83 enodes) 5.568 * * [simplify]: iters left: 4 (159 enodes) 5.621 * * [simplify]: iters left: 3 (450 enodes) 5.860 * * [simplify]: Extracting #0: cost 1 inf + 0 5.860 * * [simplify]: Extracting #1: cost 17 inf + 0 5.861 * * [simplify]: Extracting #2: cost 35 inf + 0 5.861 * * [simplify]: Extracting #3: cost 35 inf + 144 5.861 * * [simplify]: Extracting #4: cost 39 inf + 397 5.862 * * [simplify]: Extracting #5: cost 149 inf + 653 5.865 * * [simplify]: Extracting #6: cost 240 inf + 4041 5.886 * * [simplify]: Extracting #7: cost 68 inf + 40955 5.917 * * [simplify]: Extracting #8: cost 2 inf + 59635 5.952 * * [simplify]: Extracting #9: cost 0 inf + 60434 5.975 * [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))) 5.975 * [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))))) 5.975 * * * * [progress]: [ 23 / 143 ] simplifiying candidate # 5.975 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (log (* (cos (/ K 2)) J))) 5.975 * * [simplify]: iters left: 6 (19 enodes) 5.981 * * [simplify]: iters left: 5 (77 enodes) 5.993 * * [simplify]: iters left: 4 (149 enodes) 6.048 * * [simplify]: iters left: 3 (437 enodes) 6.341 * * [simplify]: Extracting #0: cost 1 inf + 0 6.341 * * [simplify]: Extracting #1: cost 16 inf + 0 6.341 * * [simplify]: Extracting #2: cost 35 inf + 0 6.341 * * [simplify]: Extracting #3: cost 36 inf + 144 6.342 * * [simplify]: Extracting #4: cost 39 inf + 579 6.342 * * [simplify]: Extracting #5: cost 146 inf + 653 6.346 * * [simplify]: Extracting #6: cost 234 inf + 5524 6.366 * * [simplify]: Extracting #7: cost 48 inf + 45401 6.401 * * [simplify]: Extracting #8: cost 2 inf + 58350 6.436 * * [simplify]: Extracting #9: cost 0 inf + 59065 6.471 * [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)))))))) 6.471 * [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)))))))))) 6.472 * * * * [progress]: [ 24 / 143 ] simplifiying candidate # 6.472 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (+ (log (cos (/ K 2))) (log J))) 6.472 * * [simplify]: iters left: 6 (20 enodes) 6.483 * * [simplify]: iters left: 5 (81 enodes) 6.512 * * [simplify]: iters left: 4 (153 enodes) 6.552 * * [simplify]: iters left: 3 (441 enodes) 6.805 * * [simplify]: Extracting #0: cost 1 inf + 0 6.805 * * [simplify]: Extracting #1: cost 16 inf + 0 6.805 * * [simplify]: Extracting #2: cost 35 inf + 0 6.805 * * [simplify]: Extracting #3: cost 38 inf + 2 6.805 * * [simplify]: Extracting #4: cost 42 inf + 144 6.806 * * [simplify]: Extracting #5: cost 144 inf + 653 6.807 * * [simplify]: Extracting #6: cost 245 inf + 3631 6.816 * * [simplify]: Extracting #7: cost 66 inf + 40448 6.843 * * [simplify]: Extracting #8: cost 2 inf + 58764 6.878 * * [simplify]: Extracting #9: cost 0 inf + 59673 6.914 * * [simplify]: Extracting #10: cost 0 inf + 59672 6.932 * [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))))))) 6.932 * [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))))))))) 6.932 * * * * [progress]: [ 25 / 143 ] simplifiying candidate # 6.932 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (log (* (cos (/ K 2)) J))) 6.933 * * [simplify]: iters left: 6 (18 enodes) 6.938 * * [simplify]: iters left: 5 (75 enodes) 6.957 * * [simplify]: iters left: 4 (146 enodes) 7.022 * * [simplify]: iters left: 3 (432 enodes) 7.327 * * [simplify]: Extracting #0: cost 1 inf + 0 7.327 * * [simplify]: Extracting #1: cost 16 inf + 0 7.328 * * [simplify]: Extracting #2: cost 36 inf + 0 7.328 * * [simplify]: Extracting #3: cost 38 inf + 144 7.328 * * [simplify]: Extracting #4: cost 41 inf + 468 7.328 * * [simplify]: Extracting #5: cost 149 inf + 653 7.331 * * [simplify]: Extracting #6: cost 222 inf + 7645 7.345 * * [simplify]: Extracting #7: cost 52 inf + 43208 7.379 * * [simplify]: Extracting #8: cost 4 inf + 57188 7.400 * * [simplify]: Extracting #9: cost 0 inf + 59088 7.428 * [simplify]: Simplified to (+ (log (* -2 (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (log (* (cos (/ K 2)) J))) 7.428 * [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))))) 7.428 * * * * [progress]: [ 26 / 143 ] simplifiying candidate # 7.428 * * * * [progress]: [ 27 / 143 ] simplifiying candidate # 7.428 * * * * [progress]: [ 28 / 143 ] simplifiying candidate # 7.429 * [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))) 7.429 * * [simplify]: iters left: 6 (25 enodes) 7.443 * * [simplify]: iters left: 5 (106 enodes) 7.484 * * [simplify]: iters left: 4 (290 enodes) 7.713 * * [simplify]: Extracting #0: cost 1 inf + 0 7.713 * * [simplify]: Extracting #1: cost 60 inf + 0 7.714 * * [simplify]: Extracting #2: cost 290 inf + 4 7.716 * * [simplify]: Extracting #3: cost 386 inf + 336 7.724 * * [simplify]: Extracting #4: cost 335 inf + 25383 7.744 * * [simplify]: Extracting #5: cost 110 inf + 100606 7.782 * * [simplify]: Extracting #6: cost 6 inf + 147667 7.851 * * [simplify]: Extracting #7: cost 0 inf + 150742 7.917 * [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))))))) 7.917 * [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))))))))) 7.917 * * * * [progress]: [ 29 / 143 ] simplifiying candidate # 7.917 * [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))) 7.918 * * [simplify]: iters left: 6 (22 enodes) 7.925 * * [simplify]: iters left: 5 (100 enodes) 7.953 * * [simplify]: iters left: 4 (294 enodes) 8.146 * * [simplify]: Extracting #0: cost 1 inf + 0 8.146 * * [simplify]: Extracting #1: cost 60 inf + 0 8.147 * * [simplify]: Extracting #2: cost 296 inf + 45 8.148 * * [simplify]: Extracting #3: cost 387 inf + 838 8.157 * * [simplify]: Extracting #4: cost 321 inf + 30714 8.192 * * [simplify]: Extracting #5: cost 92 inf + 107949 8.248 * * [simplify]: Extracting #6: cost 2 inf + 149823 8.310 * * [simplify]: Extracting #7: cost 0 inf + 150712 8.372 * [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)))) 8.372 * [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)))))) 8.373 * * * * [progress]: [ 30 / 143 ] simplifiying candidate # 8.373 * [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))) 8.373 * * [simplify]: iters left: 6 (23 enodes) 8.381 * * [simplify]: iters left: 5 (106 enodes) 8.408 * * [simplify]: iters left: 4 (272 enodes) 8.554 * * [simplify]: Extracting #0: cost 1 inf + 0 8.555 * * [simplify]: Extracting #1: cost 72 inf + 0 8.555 * * [simplify]: Extracting #2: cost 254 inf + 3 8.557 * * [simplify]: Extracting #3: cost 306 inf + 170 8.565 * * [simplify]: Extracting #4: cost 275 inf + 25629 8.592 * * [simplify]: Extracting #5: cost 74 inf + 101950 8.641 * * [simplify]: Extracting #6: cost 0 inf + 132130 8.678 * * [simplify]: Extracting #7: cost 0 inf + 131557 8.730 * * [simplify]: Extracting #8: cost 0 inf + 131517 8.804 * [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)))))) (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))) 8.804 * [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)))))) (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))))) 8.805 * * * * [progress]: [ 31 / 143 ] simplifiying candidate # 8.805 * [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))) 8.805 * * [simplify]: iters left: 6 (20 enodes) 8.818 * * [simplify]: iters left: 5 (100 enodes) 8.859 * * [simplify]: iters left: 4 (276 enodes) 9.026 * * [simplify]: Extracting #0: cost 1 inf + 0 9.027 * * [simplify]: Extracting #1: cost 77 inf + 0 9.028 * * [simplify]: Extracting #2: cost 260 inf + 44 9.030 * * [simplify]: Extracting #3: cost 306 inf + 416 9.036 * * [simplify]: Extracting #4: cost 308 inf + 11333 9.049 * * [simplify]: Extracting #5: cost 175 inf + 46842 9.070 * * [simplify]: Extracting #6: cost 78 inf + 90579 9.105 * * [simplify]: Extracting #7: cost 2 inf + 128322 9.144 * * [simplify]: Extracting #8: cost 0 inf + 129414 9.204 * [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)))))) 9.204 * [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)))))))) 9.204 * * * * [progress]: [ 32 / 143 ] simplifiying candidate # 9.204 * * * * [progress]: [ 33 / 143 ] simplifiying candidate # 9.204 * * * * [progress]: [ 34 / 143 ] simplifiying candidate # 9.204 * * * * [progress]: [ 35 / 143 ] simplifiying candidate # 9.204 * * * * [progress]: [ 36 / 143 ] simplifiying candidate # 9.204 * * * * [progress]: [ 37 / 143 ] simplifiying candidate # 9.205 * [simplify]: Simplifying (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 9.205 * * [simplify]: iters left: 6 (13 enodes) 9.212 * * [simplify]: iters left: 5 (52 enodes) 9.229 * * [simplify]: iters left: 4 (105 enodes) 9.283 * * [simplify]: iters left: 3 (359 enodes) 9.557 * * [simplify]: Extracting #0: cost 1 inf + 0 9.557 * * [simplify]: Extracting #1: cost 3 inf + 0 9.557 * * [simplify]: Extracting #2: cost 6 inf + 0 9.558 * * [simplify]: Extracting #3: cost 117 inf + 1 9.560 * * [simplify]: Extracting #4: cost 234 inf + 336 9.563 * * [simplify]: Extracting #5: cost 191 inf + 4484 9.570 * * [simplify]: Extracting #6: cost 119 inf + 19165 9.594 * * [simplify]: Extracting #7: cost 7 inf + 45857 9.611 * * [simplify]: Extracting #8: cost 0 inf + 47305 9.630 * [simplify]: Simplified to (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 9.630 * [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)))) 9.630 * * * * [progress]: [ 38 / 143 ] simplifiying candidate # 9.631 * [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)) 9.631 * * [simplify]: iters left: 6 (19 enodes) 9.637 * * [simplify]: iters left: 5 (85 enodes) 9.657 * * [simplify]: iters left: 4 (216 enodes) 9.794 * * [simplify]: Extracting #0: cost 1 inf + 0 9.794 * * [simplify]: Extracting #1: cost 16 inf + 0 9.794 * * [simplify]: Extracting #2: cost 27 inf + 44 9.794 * * [simplify]: Extracting #3: cost 32 inf + 86 9.795 * * [simplify]: Extracting #4: cost 125 inf + 89 9.796 * * [simplify]: Extracting #5: cost 329 inf + 858 9.805 * * [simplify]: Extracting #6: cost 272 inf + 29285 9.825 * * [simplify]: Extracting #7: cost 76 inf + 96357 9.873 * * [simplify]: Extracting #8: cost 1 inf + 124961 9.908 * * [simplify]: Extracting #9: cost 0 inf + 125265 9.945 * [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) 9.945 * [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)))))) 9.946 * * * * [progress]: [ 39 / 143 ] simplifiying candidate # 9.946 * [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)) 9.946 * * [simplify]: iters left: 6 (18 enodes) 9.955 * * [simplify]: iters left: 5 (77 enodes) 9.986 * * [simplify]: iters left: 4 (190 enodes) 10.144 * * [simplify]: Extracting #0: cost 1 inf + 0 10.144 * * [simplify]: Extracting #1: cost 16 inf + 0 10.145 * * [simplify]: Extracting #2: cost 28 inf + 2 10.145 * * [simplify]: Extracting #3: cost 35 inf + 86 10.145 * * [simplify]: Extracting #4: cost 122 inf + 90 10.147 * * [simplify]: Extracting #5: cost 296 inf + 1624 10.164 * * [simplify]: Extracting #6: cost 126 inf + 54777 10.205 * * [simplify]: Extracting #7: cost 2 inf + 92660 10.233 * * [simplify]: Extracting #8: cost 0 inf + 93560 10.259 * [simplify]: Simplified to (* (* -2 (* (cos (/ K 2)) J)) (sqrt (+ -1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) 10.259 * [simplify]: Simplified (2 1) to (λ (J K U) (/ (* (* -2 (* (cos (/ K 2)) J)) (sqrt (+ -1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) 10.259 * * * * [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)))))> 10.260 * * * * [progress]: [ 41 / 143 ] simplifiying candidate # 10.260 * * * * [progress]: [ 42 / 143 ] simplifiying candidate # 10.260 * [simplify]: Simplifying (/ U (* 2 (* (cos (/ K 2)) J))) 10.260 * * [simplify]: iters left: 6 (9 enodes) 10.265 * * [simplify]: iters left: 5 (33 enodes) 10.276 * * [simplify]: iters left: 4 (51 enodes) 10.284 * * [simplify]: iters left: 3 (68 enodes) 10.292 * * [simplify]: iters left: 2 (73 enodes) 10.302 * * [simplify]: Extracting #0: cost 1 inf + 0 10.302 * * [simplify]: Extracting #1: cost 12 inf + 0 10.302 * * [simplify]: Extracting #2: cost 21 inf + 3 10.302 * * [simplify]: Extracting #3: cost 21 inf + 337 10.302 * * [simplify]: Extracting #4: cost 12 inf + 1158 10.303 * * [simplify]: Extracting #5: cost 0 inf + 3114 10.303 * [simplify]: Simplified to (/ (/ U (* J 2)) (cos (/ K 2))) 10.303 * [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))) 10.304 * [simplify]: Simplifying (+ 1 1) 10.304 * * [simplify]: iters left: 2 (2 enodes) 10.305 * * [simplify]: iters left: 1 (9 enodes) 10.307 * * [simplify]: Extracting #0: cost 1 inf + 0 10.307 * * [simplify]: Extracting #1: cost 0 inf + 1 10.307 * [simplify]: Simplified to 2 10.307 * [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))) 10.307 * * * * [progress]: [ 43 / 143 ] simplifiying candidate # 10.307 * [simplify]: Simplifying (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 10.307 * * [simplify]: iters left: 6 (10 enodes) 10.310 * * [simplify]: iters left: 5 (40 enodes) 10.322 * * [simplify]: iters left: 4 (91 enodes) 10.369 * * [simplify]: iters left: 3 (345 enodes) 10.621 * * [simplify]: Extracting #0: cost 1 inf + 0 10.621 * * [simplify]: Extracting #1: cost 118 inf + 0 10.622 * * [simplify]: Extracting #2: cost 235 inf + 45 10.623 * * [simplify]: Extracting #3: cost 206 inf + 2474 10.629 * * [simplify]: Extracting #4: cost 104 inf + 22209 10.644 * * [simplify]: Extracting #5: cost 6 inf + 45227 10.676 * * [simplify]: Extracting #6: cost 0 inf + 46605 10.700 * * [simplify]: Extracting #7: cost 0 inf + 46604 10.714 * [simplify]: Simplified to (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) 10.714 * [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))) 10.715 * * * * [progress]: [ 44 / 143 ] simplifiying candidate # 10.715 * * * * [progress]: [ 45 / 143 ] simplifiying candidate # 10.715 * [simplify]: Simplifying (/ U (* 2 (* (cos (/ K 2)) J))) 10.715 * * [simplify]: iters left: 6 (9 enodes) 10.717 * * [simplify]: iters left: 5 (33 enodes) 10.723 * * [simplify]: iters left: 4 (51 enodes) 10.732 * * [simplify]: iters left: 3 (68 enodes) 10.750 * * [simplify]: iters left: 2 (73 enodes) 10.762 * * [simplify]: Extracting #0: cost 1 inf + 0 10.762 * * [simplify]: Extracting #1: cost 12 inf + 0 10.762 * * [simplify]: Extracting #2: cost 21 inf + 3 10.763 * * [simplify]: Extracting #3: cost 21 inf + 337 10.763 * * [simplify]: Extracting #4: cost 12 inf + 1158 10.764 * * [simplify]: Extracting #5: cost 0 inf + 3114 10.765 * [simplify]: Simplified to (/ (/ U (* J 2)) (cos (/ K 2))) 10.765 * [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))) 10.765 * * * * [progress]: [ 46 / 143 ] simplifiying candidate # 10.765 * * * * [progress]: [ 47 / 143 ] simplifiying candidate # 10.765 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J)))) (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J))))) 10.765 * * [simplify]: iters left: 6 (14 enodes) 10.769 * * [simplify]: iters left: 5 (54 enodes) 10.778 * * [simplify]: iters left: 4 (119 enodes) 10.828 * * [simplify]: iters left: 3 (457 enodes) 11.415 * * [simplify]: Extracting #0: cost 1 inf + 0 11.415 * * [simplify]: Extracting #1: cost 87 inf + 0 11.418 * * [simplify]: Extracting #2: cost 440 inf + 0 11.423 * * [simplify]: Extracting #3: cost 434 inf + 3488 11.431 * * [simplify]: Extracting #4: cost 349 inf + 25733 11.459 * * [simplify]: Extracting #5: cost 181 inf + 99544 11.510 * * [simplify]: Extracting #6: cost 13 inf + 179105 11.570 * * [simplify]: Extracting #7: cost 0 inf + 185460 11.625 * [simplify]: Simplified to (+ (- (- (log U) (log 2)) (+ (log J) (log (cos (/ K 2))))) (- (- (log U) (log 2)) (+ (log J) (log (cos (/ K 2)))))) 11.625 * [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))) 11.625 * * * * [progress]: [ 48 / 143 ] simplifiying candidate # 11.625 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J)))) (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J))))) 11.626 * * [simplify]: iters left: 6 (18 enodes) 11.631 * * [simplify]: iters left: 5 (62 enodes) 11.641 * * [simplify]: iters left: 4 (132 enodes) 11.684 * * [simplify]: iters left: 3 (478 enodes) 12.221 * * [simplify]: Extracting #0: cost 1 inf + 0 12.221 * * [simplify]: Extracting #1: cost 82 inf + 0 12.222 * * [simplify]: Extracting #2: cost 444 inf + 0 12.225 * * [simplify]: Extracting #3: cost 427 inf + 6272 12.229 * * [simplify]: Extracting #4: cost 349 inf + 27083 12.251 * * [simplify]: Extracting #5: cost 195 inf + 91884 12.291 * * [simplify]: Extracting #6: cost 8 inf + 176405 12.347 * * [simplify]: Extracting #7: cost 0 inf + 179331 12.421 * [simplify]: Simplified to (+ (- (- (log U) (log 2)) (log (* (cos (/ K 2)) J))) (- (- (log U) (log 2)) (log (* (cos (/ K 2)) J)))) 12.421 * [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))) 12.422 * * * * [progress]: [ 49 / 143 ] simplifiying candidate # 12.422 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J)))) (- (log U) (log (* 2 (* (cos (/ K 2)) J))))) 12.422 * * [simplify]: iters left: 6 (18 enodes) 12.427 * * [simplify]: iters left: 5 (75 enodes) 12.440 * * [simplify]: iters left: 4 (150 enodes) 12.474 * * [simplify]: iters left: 3 (443 enodes) 12.948 * * [simplify]: Extracting #0: cost 1 inf + 0 12.948 * * [simplify]: Extracting #1: cost 83 inf + 0 12.955 * * [simplify]: Extracting #2: cost 392 inf + 0 12.958 * * [simplify]: Extracting #3: cost 355 inf + 11214 12.962 * * [simplify]: Extracting #4: cost 300 inf + 26302 12.967 * * [simplify]: Extracting #5: cost 298 inf + 25425 12.980 * * [simplify]: Extracting #6: cost 142 inf + 91412 13.024 * * [simplify]: Extracting #7: cost 4 inf + 152459 13.086 * * [simplify]: Extracting #8: cost 0 inf + 148055 13.138 * * [simplify]: Extracting #9: cost 0 inf + 147415 13.194 * [simplify]: Simplified to (+ (- (log U) (log (* 2 (* (cos (/ K 2)) J)))) (- (log U) (log (* 2 (* (cos (/ K 2)) J))))) 13.194 * [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))) 13.194 * * * * [progress]: [ 50 / 143 ] simplifiying candidate # 13.195 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J)))) (log (/ U (* 2 (* (cos (/ K 2)) J))))) 13.195 * * [simplify]: iters left: 6 (18 enodes) 13.200 * * [simplify]: iters left: 5 (73 enodes) 13.213 * * [simplify]: iters left: 4 (158 enodes) 13.254 * * [simplify]: iters left: 3 (401 enodes) 13.498 * * [simplify]: Extracting #0: cost 1 inf + 0 13.499 * * [simplify]: Extracting #1: cost 75 inf + 0 13.500 * * [simplify]: Extracting #2: cost 294 inf + 0 13.503 * * [simplify]: Extracting #3: cost 333 inf + 1095 13.507 * * [simplify]: Extracting #4: cost 296 inf + 8878 13.518 * * [simplify]: Extracting #5: cost 211 inf + 34388 13.539 * * [simplify]: Extracting #6: cost 35 inf + 111987 13.565 * * [simplify]: Extracting #7: cost 3 inf + 120876 13.589 * * [simplify]: Extracting #8: cost 0 inf + 120028 13.613 * * [simplify]: Extracting #9: cost 0 inf + 119988 13.654 * [simplify]: Simplified to (+ (log (/ (/ (/ U J) 2) (cos (/ K 2)))) (log (/ (/ (/ U J) 2) (cos (/ K 2))))) 13.654 * [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))) 13.654 * * * * [progress]: [ 51 / 143 ] simplifiying candidate # 13.654 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J))))) 13.654 * * [simplify]: iters left: 6 (18 enodes) 13.659 * * [simplify]: iters left: 5 (63 enodes) 13.670 * * [simplify]: iters left: 4 (128 enodes) 13.702 * * [simplify]: iters left: 3 (467 enodes) 14.155 * * [simplify]: Extracting #0: cost 1 inf + 0 14.155 * * [simplify]: Extracting #1: cost 87 inf + 0 14.157 * * [simplify]: Extracting #2: cost 459 inf + 0 14.160 * * [simplify]: Extracting #3: cost 444 inf + 6063 14.164 * * [simplify]: Extracting #4: cost 367 inf + 26781 14.181 * * [simplify]: Extracting #5: cost 208 inf + 91682 14.252 * * [simplify]: Extracting #6: cost 16 inf + 181307 14.301 * * [simplify]: Extracting #7: cost 0 inf + 189267 14.381 * [simplify]: Simplified to (+ (- (- (log U) (log (* J (cos (/ K 2))))) (log 2)) (- (- (log U) (log (* J (cos (/ K 2))))) (log 2))) 14.381 * [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))) 14.382 * * * * [progress]: [ 52 / 143 ] simplifiying candidate # 14.382 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J))))) 14.382 * * [simplify]: iters left: 6 (13 enodes) 14.389 * * [simplify]: iters left: 5 (52 enodes) 14.407 * * [simplify]: iters left: 4 (107 enodes) 14.446 * * [simplify]: iters left: 3 (365 enodes) 14.832 * * [simplify]: Extracting #0: cost 1 inf + 0 14.832 * * [simplify]: Extracting #1: cost 73 inf + 0 14.833 * * [simplify]: Extracting #2: cost 366 inf + 0 14.836 * * [simplify]: Extracting #3: cost 356 inf + 3306 14.838 * * [simplify]: Extracting #4: cost 311 inf + 14304 14.846 * * [simplify]: Extracting #5: cost 182 inf + 63744 14.894 * * [simplify]: Extracting #6: cost 3 inf + 143874 14.958 * * [simplify]: Extracting #7: cost 0 inf + 144974 14.989 * [simplify]: Simplified to (+ (- (- (log U) (log 2)) (log (* J (cos (/ K 2))))) (- (- (log U) (log 2)) (log (* J (cos (/ K 2)))))) 14.989 * [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))) 14.990 * * * * [progress]: [ 53 / 143 ] simplifiying candidate # 14.990 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J)))) (- (log U) (log (* 2 (* (cos (/ K 2)) J))))) 14.990 * * [simplify]: iters left: 6 (16 enodes) 14.994 * * [simplify]: iters left: 5 (63 enodes) 15.005 * * [simplify]: iters left: 4 (135 enodes) 15.038 * * [simplify]: iters left: 3 (408 enodes) 15.395 * * [simplify]: Extracting #0: cost 1 inf + 0 15.395 * * [simplify]: Extracting #1: cost 70 inf + 0 15.397 * * [simplify]: Extracting #2: cost 382 inf + 0 15.399 * * [simplify]: Extracting #3: cost 349 inf + 11611 15.403 * * [simplify]: Extracting #4: cost 295 inf + 25200 15.415 * * [simplify]: Extracting #5: cost 168 inf + 76172 15.446 * * [simplify]: Extracting #6: cost 7 inf + 144466 15.478 * * [simplify]: Extracting #7: cost 0 inf + 144413 15.527 * * [simplify]: Extracting #8: cost 0 inf + 144253 15.559 * [simplify]: Simplified to (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2)))))) 15.559 * [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))) 15.560 * * * * [progress]: [ 54 / 143 ] simplifiying candidate # 15.560 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J)))) (log (/ U (* 2 (* (cos (/ K 2)) J))))) 15.560 * * [simplify]: iters left: 6 (16 enodes) 15.568 * * [simplify]: iters left: 5 (67 enodes) 15.593 * * [simplify]: iters left: 4 (136 enodes) 15.627 * * [simplify]: iters left: 3 (364 enodes) 15.819 * * [simplify]: Extracting #0: cost 1 inf + 0 15.820 * * [simplify]: Extracting #1: cost 62 inf + 0 15.821 * * [simplify]: Extracting #2: cost 325 inf + 0 15.822 * * [simplify]: Extracting #3: cost 344 inf + 4236 15.825 * * [simplify]: Extracting #4: cost 302 inf + 14346 15.844 * * [simplify]: Extracting #5: cost 171 inf + 62575 15.890 * * [simplify]: Extracting #6: cost 9 inf + 127185 15.917 * * [simplify]: Extracting #7: cost 0 inf + 124566 15.961 * * [simplify]: Extracting #8: cost 0 inf + 124346 15.991 * [simplify]: Simplified to (+ (log (/ (/ U 2) (* J (cos (/ K 2))))) (log (/ (/ U 2) (* J (cos (/ K 2)))))) 15.991 * [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))) 15.991 * * * * [progress]: [ 55 / 143 ] simplifiying candidate # 15.992 * [simplify]: Simplifying (+ (- (log U) (log (* 2 (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J))))) 15.992 * * [simplify]: iters left: 6 (18 enodes) 15.997 * * [simplify]: iters left: 5 (75 enodes) 16.020 * * [simplify]: iters left: 4 (153 enodes) 16.074 * * [simplify]: iters left: 3 (475 enodes) 16.866 * * [simplify]: Extracting #0: cost 1 inf + 0 16.866 * * [simplify]: Extracting #1: cost 84 inf + 0 16.867 * * [simplify]: Extracting #2: cost 434 inf + 0 16.873 * * [simplify]: Extracting #3: cost 400 inf + 11081 16.881 * * [simplify]: Extracting #4: cost 349 inf + 23822 16.906 * * [simplify]: Extracting #5: cost 211 inf + 78498 16.978 * * [simplify]: Extracting #6: cost 13 inf + 162504 17.051 * * [simplify]: Extracting #7: cost 0 inf + 165480 17.100 * * [simplify]: Extracting #8: cost 0 inf + 165120 17.170 * [simplify]: Simplified to (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2)))))) 17.170 * [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))) 17.170 * * * * [progress]: [ 56 / 143 ] simplifiying candidate # 17.170 * [simplify]: Simplifying (+ (- (log U) (log (* 2 (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J))))) 17.170 * * [simplify]: iters left: 6 (16 enodes) 17.175 * * [simplify]: iters left: 5 (63 enodes) 17.186 * * [simplify]: iters left: 4 (131 enodes) 17.236 * * [simplify]: iters left: 3 (399 enodes) 17.637 * * [simplify]: Extracting #0: cost 1 inf + 0 17.637 * * [simplify]: Extracting #1: cost 73 inf + 0 17.640 * * [simplify]: Extracting #2: cost 359 inf + 0 17.643 * * [simplify]: Extracting #3: cost 367 inf + 1026 17.646 * * [simplify]: Extracting #4: cost 310 inf + 13485 17.656 * * [simplify]: Extracting #5: cost 171 inf + 64486 17.692 * * [simplify]: Extracting #6: cost 19 inf + 126775 17.732 * * [simplify]: Extracting #7: cost 0 inf + 132642 17.770 * * [simplify]: Extracting #8: cost 0 inf + 132602 17.829 * [simplify]: Simplified to (+ (- (log U) (log (* (* (cos (/ K 2)) J) 2))) (- (log U) (log (* (* (cos (/ K 2)) J) 2)))) 17.829 * [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))) 17.830 * * * * [progress]: [ 57 / 143 ] simplifiying candidate # 17.830 * [simplify]: Simplifying (+ (- (log U) (log (* 2 (* (cos (/ K 2)) J)))) (- (log U) (log (* 2 (* (cos (/ K 2)) J))))) 17.830 * * [simplify]: iters left: 6 (12 enodes) 17.837 * * [simplify]: iters left: 5 (49 enodes) 17.854 * * [simplify]: iters left: 4 (96 enodes) 17.890 * * [simplify]: iters left: 3 (241 enodes) 18.046 * * [simplify]: Extracting #0: cost 1 inf + 0 18.046 * * [simplify]: Extracting #1: cost 49 inf + 0 18.049 * * [simplify]: Extracting #2: cost 251 inf + 0 18.051 * * [simplify]: Extracting #3: cost 249 inf + 1539 18.052 * * [simplify]: Extracting #4: cost 212 inf + 9334 18.054 * * [simplify]: Extracting #5: cost 194 inf + 13677 18.057 * * [simplify]: Extracting #6: cost 164 inf + 24866 18.069 * * [simplify]: Extracting #7: cost 45 inf + 75345 18.092 * * [simplify]: Extracting #8: cost 2 inf + 93245 18.111 * * [simplify]: Extracting #9: cost 0 inf + 93841 18.139 * [simplify]: Simplified to (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2)))))) 18.139 * [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))) 18.139 * * * * [progress]: [ 58 / 143 ] simplifiying candidate # 18.140 * [simplify]: Simplifying (+ (- (log U) (log (* 2 (* (cos (/ K 2)) J)))) (log (/ U (* 2 (* (cos (/ K 2)) J))))) 18.140 * * [simplify]: iters left: 6 (14 enodes) 18.147 * * [simplify]: iters left: 5 (54 enodes) 18.164 * * [simplify]: iters left: 4 (109 enodes) 18.189 * * [simplify]: iters left: 3 (265 enodes) 18.338 * * [simplify]: Extracting #0: cost 1 inf + 0 18.338 * * [simplify]: Extracting #1: cost 49 inf + 0 18.339 * * [simplify]: Extracting #2: cost 242 inf + 0 18.341 * * [simplify]: Extracting #3: cost 260 inf + 440 18.345 * * [simplify]: Extracting #4: cost 211 inf + 10253 18.352 * * [simplify]: Extracting #5: cost 162 inf + 23316 18.381 * * [simplify]: Extracting #6: cost 21 inf + 78082 18.415 * * [simplify]: Extracting #7: cost 0 inf + 87037 18.447 * [simplify]: Simplified to (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J)))) 18.447 * [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))) 18.447 * * * * [progress]: [ 59 / 143 ] simplifiying candidate # 18.448 * [simplify]: Simplifying (+ (log (/ U (* 2 (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J))))) 18.448 * * [simplify]: iters left: 6 (18 enodes) 18.457 * * [simplify]: iters left: 5 (73 enodes) 18.481 * * [simplify]: iters left: 4 (156 enodes) 18.533 * * [simplify]: iters left: 3 (366 enodes) 18.744 * * [simplify]: Extracting #0: cost 1 inf + 0 18.744 * * [simplify]: Extracting #1: cost 81 inf + 0 18.746 * * [simplify]: Extracting #2: cost 315 inf + 0 18.749 * * [simplify]: Extracting #3: cost 336 inf + 1721 18.753 * * [simplify]: Extracting #4: cost 281 inf + 13075 18.760 * * [simplify]: Extracting #5: cost 231 inf + 25685 18.781 * * [simplify]: Extracting #6: cost 45 inf + 102230 18.812 * * [simplify]: Extracting #7: cost 0 inf + 118934 18.838 * [simplify]: Simplified to (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J)))) 18.838 * [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))) 18.838 * * * * [progress]: [ 60 / 143 ] simplifiying candidate # 18.839 * [simplify]: Simplifying (+ (log (/ U (* 2 (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J))))) 18.839 * * [simplify]: iters left: 6 (16 enodes) 18.848 * * [simplify]: iters left: 5 (67 enodes) 18.871 * * [simplify]: iters left: 4 (134 enodes) 18.911 * * [simplify]: iters left: 3 (341 enodes) 19.075 * * [simplify]: Extracting #0: cost 1 inf + 0 19.075 * * [simplify]: Extracting #1: cost 72 inf + 0 19.076 * * [simplify]: Extracting #2: cost 349 inf + 0 19.078 * * [simplify]: Extracting #3: cost 372 inf + 1584 19.082 * * [simplify]: Extracting #4: cost 326 inf + 11097 19.101 * * [simplify]: Extracting #5: cost 165 inf + 68281 19.130 * * [simplify]: Extracting #6: cost 8 inf + 130982 19.175 * * [simplify]: Extracting #7: cost 0 inf + 131624 19.201 * [simplify]: Simplified to (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J)))) 19.201 * [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))) 19.201 * * * * [progress]: [ 61 / 143 ] simplifiying candidate # 19.201 * [simplify]: Simplifying (+ (log (/ U (* 2 (* (cos (/ K 2)) J)))) (- (log U) (log (* 2 (* (cos (/ K 2)) J))))) 19.202 * * [simplify]: iters left: 6 (14 enodes) 19.207 * * [simplify]: iters left: 5 (54 enodes) 19.225 * * [simplify]: iters left: 4 (106 enodes) 19.249 * * [simplify]: iters left: 3 (231 enodes) 19.313 * * [simplify]: Extracting #0: cost 1 inf + 0 19.313 * * [simplify]: Extracting #1: cost 64 inf + 0 19.313 * * [simplify]: Extracting #2: cost 246 inf + 0 19.314 * * [simplify]: Extracting #3: cost 259 inf + 560 19.316 * * [simplify]: Extracting #4: cost 218 inf + 8763 19.322 * * [simplify]: Extracting #5: cost 148 inf + 29077 19.334 * * [simplify]: Extracting #6: cost 27 inf + 76331 19.359 * * [simplify]: Extracting #7: cost 0 inf + 87431 19.390 * * [simplify]: Extracting #8: cost 0 inf + 87391 19.419 * [simplify]: Simplified to (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J)))) 19.419 * [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))) 19.420 * * * * [progress]: [ 62 / 143 ] simplifiying candidate # 19.420 * [simplify]: Simplifying (+ (log (/ U (* 2 (* (cos (/ K 2)) J)))) (log (/ U (* 2 (* (cos (/ K 2)) J))))) 19.420 * * [simplify]: iters left: 6 (11 enodes) 19.426 * * [simplify]: iters left: 5 (42 enodes) 19.440 * * [simplify]: iters left: 4 (79 enodes) 19.470 * * [simplify]: iters left: 3 (176 enodes) 19.510 * * [simplify]: iters left: 2 (491 enodes) 19.919 * * [simplify]: Extracting #0: cost 1 inf + 0 19.919 * * [simplify]: Extracting #1: cost 79 inf + 0 19.920 * * [simplify]: Extracting #2: cost 424 inf + 0 19.927 * * [simplify]: Extracting #3: cost 434 inf + 1374 19.934 * * [simplify]: Extracting #4: cost 365 inf + 15165 19.955 * * [simplify]: Extracting #5: cost 222 inf + 60738 19.999 * * [simplify]: Extracting #6: cost 20 inf + 142135 20.041 * * [simplify]: Extracting #7: cost 0 inf + 147485 20.101 * * [simplify]: Extracting #8: cost 0 inf + 147405 20.149 * [simplify]: Simplified to (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J)))) 20.149 * [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))) 20.149 * * * * [progress]: [ 63 / 143 ] simplifiying candidate # 20.149 * * * * [progress]: [ 64 / 143 ] simplifiying candidate # 20.150 * * * * [progress]: [ 65 / 143 ] simplifiying candidate # 20.150 * [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))))) 20.150 * * [simplify]: iters left: 6 (18 enodes) 20.158 * * [simplify]: iters left: 5 (81 enodes) 20.182 * * [simplify]: iters left: 4 (297 enodes) 20.714 * * [simplify]: Extracting #0: cost 1 inf + 0 20.714 * * [simplify]: Extracting #1: cost 317 inf + 0 20.719 * * [simplify]: Extracting #2: cost 1360 inf + 1186 20.728 * * [simplify]: Extracting #3: cost 1159 inf + 28787 20.748 * * [simplify]: Extracting #4: cost 1067 inf + 46078 20.761 * * [simplify]: Extracting #5: cost 1058 inf + 48222 20.803 * * [simplify]: Extracting #6: cost 700 inf + 217292 20.946 * * [simplify]: Extracting #7: cost 50 inf + 478678 21.131 * * [simplify]: Extracting #8: cost 0 inf + 450895 21.343 * * [simplify]: Extracting #9: cost 0 inf + 450215 21.494 * [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))))))) 21.494 * [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))) 21.495 * * * * [progress]: [ 66 / 143 ] simplifiying candidate # 21.495 * [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))))) 21.495 * * [simplify]: iters left: 6 (23 enodes) 21.503 * * [simplify]: iters left: 5 (116 enodes) 21.549 * * [simplify]: iters left: 4 (394 enodes) 22.618 * * [simplify]: Extracting #0: cost 1 inf + 0 22.619 * * [simplify]: Extracting #1: cost 311 inf + 0 22.639 * * [simplify]: Extracting #2: cost 1689 inf + 1430 22.661 * * [simplify]: Extracting #3: cost 1522 inf + 29371 22.684 * * [simplify]: Extracting #4: cost 1425 inf + 43602 22.746 * * [simplify]: Extracting #5: cost 1066 inf + 164617 22.914 * * [simplify]: Extracting #6: cost 135 inf + 521329 23.086 * * [simplify]: Extracting #7: cost 0 inf + 558572 23.250 * * [simplify]: Extracting #8: cost 0 inf + 556291 23.453 * [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)))))) 23.453 * [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))) 23.453 * * * * [progress]: [ 67 / 143 ] simplifiying candidate # 23.454 * [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))))) 23.454 * * [simplify]: iters left: 6 (23 enodes) 23.463 * * [simplify]: iters left: 5 (117 enodes) 23.498 * * [simplify]: Extracting #0: cost 1 inf + 0 23.498 * * [simplify]: Extracting #1: cost 57 inf + 0 23.499 * * [simplify]: Extracting #2: cost 198 inf + 1 23.501 * * [simplify]: Extracting #3: cost 196 inf + 1963 23.503 * * [simplify]: Extracting #4: cost 175 inf + 4048 23.508 * * [simplify]: Extracting #5: cost 138 inf + 14158 23.518 * * [simplify]: Extracting #6: cost 38 inf + 45666 23.530 * * [simplify]: Extracting #7: cost 0 inf + 59703 23.553 * * [simplify]: Extracting #8: cost 0 inf + 58861 23.577 * [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))))) 23.577 * [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))) 23.577 * * * * [progress]: [ 68 / 143 ] simplifiying candidate # 23.578 * [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))))) 23.578 * * [simplify]: iters left: 6 (23 enodes) 23.592 * * [simplify]: iters left: 5 (110 enodes) 23.648 * * [simplify]: iters left: 4 (408 enodes) 24.336 * * [simplify]: Extracting #0: cost 1 inf + 0 24.337 * * [simplify]: Extracting #1: cost 349 inf + 0 24.346 * * [simplify]: Extracting #2: cost 1362 inf + 253 24.355 * * [simplify]: Extracting #3: cost 1372 inf + 8215 24.371 * * [simplify]: Extracting #4: cost 1293 inf + 19441 24.400 * * [simplify]: Extracting #5: cost 942 inf + 149702 24.562 * * [simplify]: Extracting #6: cost 118 inf + 513336 24.764 * * [simplify]: Extracting #7: cost 0 inf + 530464 24.965 * * [simplify]: Extracting #8: cost 0 inf + 526424 25.179 * * [simplify]: Extracting #9: cost 0 inf + 526264 25.367 * [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)))))) 25.367 * [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))) 25.368 * * * * [progress]: [ 69 / 143 ] simplifiying candidate # 25.368 * [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))))) 25.369 * * [simplify]: iters left: 6 (23 enodes) 25.384 * * [simplify]: iters left: 5 (116 enodes) 25.449 * * [simplify]: iters left: 4 (400 enodes) 26.798 * * [simplify]: Extracting #0: cost 1 inf + 0 26.799 * * [simplify]: Extracting #1: cost 344 inf + 0 26.809 * * [simplify]: Extracting #2: cost 1789 inf + 1143 26.820 * * [simplify]: Extracting #3: cost 1636 inf + 27410 26.834 * * [simplify]: Extracting #4: cost 1501 inf + 45895 26.881 * * [simplify]: Extracting #5: cost 948 inf + 291521 27.104 * * [simplify]: Extracting #6: cost 30 inf + 639558 27.313 * * [simplify]: Extracting #7: cost 0 inf + 585701 27.582 * * [simplify]: Extracting #8: cost 0 inf + 585261 27.783 * [simplify]: Simplified to (* (* (/ (* U U) (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))))) (/ U 8)) (* (/ (* U U) (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))))) (/ U 8))) 27.783 * [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)))))) (/ U 8)) (* (/ (* U U) (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))))) (/ U 8)))) 1)) -2) (* (cos (/ K 2)) J))) 27.783 * * * * [progress]: [ 70 / 143 ] simplifiying candidate # 27.783 * [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))))) 27.784 * * [simplify]: iters left: 6 (16 enodes) 27.790 * * [simplify]: iters left: 5 (79 enodes) 27.810 * * [simplify]: iters left: 4 (300 enodes) 28.402 * * [simplify]: Extracting #0: cost 1 inf + 0 28.402 * * [simplify]: Extracting #1: cost 276 inf + 0 28.406 * * [simplify]: Extracting #2: cost 1222 inf + 1113 28.412 * * [simplify]: Extracting #3: cost 1095 inf + 16811 28.420 * * [simplify]: Extracting #4: cost 1061 inf + 20800 28.449 * * [simplify]: Extracting #5: cost 657 inf + 183765 28.572 * * [simplify]: Extracting #6: cost 22 inf + 410882 28.755 * * [simplify]: Extracting #7: cost 0 inf + 405405 28.912 * * [simplify]: Extracting #8: cost 0 inf + 405114 29.080 * [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))))))) 29.080 * [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))) 29.080 * * * * [progress]: [ 71 / 143 ] simplifiying candidate # 29.080 * [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))))) 29.080 * * [simplify]: iters left: 6 (20 enodes) 29.089 * * [simplify]: iters left: 5 (110 enodes) 29.124 * * [simplify]: iters left: 4 (486 enodes) 30.183 * * [simplify]: Extracting #0: cost 1 inf + 0 30.184 * * [simplify]: Extracting #1: cost 357 inf + 0 30.195 * * [simplify]: Extracting #2: cost 1674 inf + 46 30.211 * * [simplify]: Extracting #3: cost 1665 inf + 7772 30.231 * * [simplify]: Extracting #4: cost 1548 inf + 21540 30.294 * * [simplify]: Extracting #5: cost 1189 inf + 142515 30.442 * * [simplify]: Extracting #6: cost 125 inf + 558507 30.684 * * [simplify]: Extracting #7: cost 0 inf + 585789 30.900 * * [simplify]: Extracting #8: cost 0 inf + 584657 31.151 * [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)))))) 31.151 * [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))) 31.151 * * * * [progress]: [ 72 / 143 ] simplifiying candidate # 31.152 * [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))))) 31.152 * * [simplify]: iters left: 6 (20 enodes) 31.159 * * [simplify]: iters left: 5 (104 enodes) 31.199 * * [simplify]: iters left: 4 (410 enodes) 31.906 * * [simplify]: Extracting #0: cost 1 inf + 0 31.906 * * [simplify]: Extracting #1: cost 320 inf + 0 31.912 * * [simplify]: Extracting #2: cost 1273 inf + 422 31.924 * * [simplify]: Extracting #3: cost 1300 inf + 5654 31.937 * * [simplify]: Extracting #4: cost 1233 inf + 13684 31.976 * * [simplify]: Extracting #5: cost 817 inf + 180631 32.101 * * [simplify]: Extracting #6: cost 86 inf + 457006 32.262 * * [simplify]: Extracting #7: cost 0 inf + 479132 32.411 * * [simplify]: Extracting #8: cost 0 inf + 478812 32.600 * [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))))) 32.601 * [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))) 32.601 * * * * [progress]: [ 73 / 143 ] simplifiying candidate # 32.601 * [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))))) 32.602 * * [simplify]: iters left: 6 (23 enodes) 32.617 * * [simplify]: iters left: 5 (117 enodes) 32.681 * * [simplify]: Extracting #0: cost 1 inf + 0 32.682 * * [simplify]: Extracting #1: cost 57 inf + 0 32.682 * * [simplify]: Extracting #2: cost 198 inf + 1 32.684 * * [simplify]: Extracting #3: cost 195 inf + 2086 32.686 * * [simplify]: Extracting #4: cost 174 inf + 4290 32.693 * * [simplify]: Extracting #5: cost 116 inf + 19820 32.711 * * [simplify]: Extracting #6: cost 12 inf + 57316 32.724 * * [simplify]: Extracting #7: cost 0 inf + 58322 32.738 * [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))) 32.738 * [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))) 32.738 * * * * [progress]: [ 74 / 143 ] simplifiying candidate # 32.739 * [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))))) 32.739 * * [simplify]: iters left: 6 (20 enodes) 32.753 * * [simplify]: iters left: 5 (110 enodes) 32.816 * * [simplify]: iters left: 4 (486 enodes) 33.861 * * [simplify]: Extracting #0: cost 1 inf + 0 33.862 * * [simplify]: Extracting #1: cost 354 inf + 0 33.868 * * [simplify]: Extracting #2: cost 1735 inf + 907 33.877 * * [simplify]: Extracting #3: cost 1679 inf + 14699 33.893 * * [simplify]: Extracting #4: cost 1550 inf + 37200 34.032 * * [simplify]: Extracting #5: cost 531 inf + 434089 34.311 * * [simplify]: Extracting #6: cost 3 inf + 615701 34.606 * * [simplify]: Extracting #7: cost 0 inf + 600245 34.850 * * [simplify]: Extracting #8: cost 0 inf + 599913 35.051 * [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)))) 35.052 * [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))) 35.052 * * * * [progress]: [ 75 / 143 ] simplifiying candidate # 35.052 * [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))))) 35.053 * * [simplify]: iters left: 6 (14 enodes) 35.061 * * [simplify]: iters left: 5 (69 enodes) 35.096 * * [simplify]: iters left: 4 (284 enodes) 35.650 * * [simplify]: Extracting #0: cost 1 inf + 0 35.650 * * [simplify]: Extracting #1: cost 264 inf + 0 35.657 * * [simplify]: Extracting #2: cost 1052 inf + 500 35.668 * * [simplify]: Extracting #3: cost 1009 inf + 7301 35.679 * * [simplify]: Extracting #4: cost 995 inf + 8857 35.714 * * [simplify]: Extracting #5: cost 705 inf + 95858 35.868 * * [simplify]: Extracting #6: cost 73 inf + 344943 36.037 * * [simplify]: Extracting #7: cost 0 inf + 363124 36.196 * * [simplify]: Extracting #8: cost 0 inf + 361502 36.369 * [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))))))) 36.369 * [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))) 36.369 * * * * [progress]: [ 76 / 143 ] simplifiying candidate # 36.370 * [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))))) 36.370 * * [simplify]: iters left: 6 (17 enodes) 36.380 * * [simplify]: iters left: 5 (87 enodes) 36.428 * * [simplify]: iters left: 4 (347 enodes) 37.141 * * [simplify]: Extracting #0: cost 1 inf + 0 37.141 * * [simplify]: Extracting #1: cost 232 inf + 0 37.145 * * [simplify]: Extracting #2: cost 1152 inf + 416 37.161 * * [simplify]: Extracting #3: cost 1101 inf + 7417 37.173 * * [simplify]: Extracting #4: cost 1072 inf + 11014 37.201 * * [simplify]: Extracting #5: cost 704 inf + 127275 37.331 * * [simplify]: Extracting #6: cost 26 inf + 377336 37.485 * * [simplify]: Extracting #7: cost 0 inf + 379590 37.616 * * [simplify]: Extracting #8: cost 0 inf + 379507 37.771 * [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))))) 37.771 * [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))) 37.771 * * * * [progress]: [ 77 / 143 ] simplifiying candidate # 37.771 * [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))))) 37.771 * * [simplify]: iters left: 6 (23 enodes) 37.782 * * [simplify]: iters left: 5 (110 enodes) 37.835 * * [simplify]: iters left: 4 (410 enodes) 38.424 * * [simplify]: Extracting #0: cost 1 inf + 0 38.425 * * [simplify]: Extracting #1: cost 359 inf + 0 38.429 * * [simplify]: Extracting #2: cost 1287 inf + 419 38.436 * * [simplify]: Extracting #3: cost 1261 inf + 9929 38.444 * * [simplify]: Extracting #4: cost 1180 inf + 21019 38.485 * * [simplify]: Extracting #5: cost 735 inf + 199153 38.638 * * [simplify]: Extracting #6: cost 8 inf + 499942 38.825 * * [simplify]: Extracting #7: cost 0 inf + 474987 39.020 * * [simplify]: Extracting #8: cost 0 inf + 473616 39.192 * [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))))) 39.192 * [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))) 39.193 * * * * [progress]: [ 78 / 143 ] simplifiying candidate # 39.193 * [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))))) 39.193 * * [simplify]: iters left: 6 (20 enodes) 39.200 * * [simplify]: iters left: 5 (104 enodes) 39.231 * * [simplify]: iters left: 4 (410 enodes) 40.322 * * [simplify]: Extracting #0: cost 1 inf + 0 40.323 * * [simplify]: Extracting #1: cost 333 inf + 0 40.331 * * [simplify]: Extracting #2: cost 1241 inf + 215 40.342 * * [simplify]: Extracting #3: cost 1232 inf + 5451 40.364 * * [simplify]: Extracting #4: cost 1158 inf + 14257 40.411 * * [simplify]: Extracting #5: cost 643 inf + 213569 40.534 * * [simplify]: Extracting #6: cost 28 inf + 452599 40.694 * * [simplify]: Extracting #7: cost 0 inf + 451462 40.858 * * [simplify]: Extracting #8: cost 0 inf + 451384 41.032 * [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))) 41.032 * [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))) 41.032 * * * * [progress]: [ 79 / 143 ] simplifiying candidate # 41.033 * [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))))) 41.034 * * [simplify]: iters left: 6 (17 enodes) 41.044 * * [simplify]: iters left: 5 (87 enodes) 41.090 * * [simplify]: iters left: 4 (343 enodes) 41.830 * * [simplify]: Extracting #0: cost 1 inf + 0 41.831 * * [simplify]: Extracting #1: cost 233 inf + 0 41.837 * * [simplify]: Extracting #2: cost 1036 inf + 500 41.849 * * [simplify]: Extracting #3: cost 983 inf + 8543 41.860 * * [simplify]: Extracting #4: cost 966 inf + 10234 41.894 * * [simplify]: Extracting #5: cost 660 inf + 104231 42.032 * * [simplify]: Extracting #6: cost 29 inf + 338660 42.175 * * [simplify]: Extracting #7: cost 0 inf + 344120 42.333 * * [simplify]: Extracting #8: cost 0 inf + 344000 42.490 * [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))))) 42.491 * [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))) 42.491 * * * * [progress]: [ 80 / 143 ] simplifiying candidate # 42.491 * [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))))) 42.491 * * [simplify]: iters left: 6 (12 enodes) 42.498 * * [simplify]: iters left: 5 (55 enodes) 42.523 * * [simplify]: iters left: 4 (179 enodes) 42.752 * * [simplify]: Extracting #0: cost 1 inf + 0 42.752 * * [simplify]: Extracting #1: cost 111 inf + 0 42.754 * * [simplify]: Extracting #2: cost 476 inf + 4 42.756 * * [simplify]: Extracting #3: cost 509 inf + 1174 42.767 * * [simplify]: Extracting #4: cost 279 inf + 68658 42.815 * * [simplify]: Extracting #5: cost 18 inf + 157912 42.885 * * [simplify]: Extracting #6: cost 0 inf + 164075 42.966 * * [simplify]: Extracting #7: cost 0 inf + 164036 43.016 * [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)))) 43.017 * [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))) 43.017 * * * * [progress]: [ 81 / 143 ] simplifiying candidate # 43.017 * * * * [progress]: [ 82 / 143 ] simplifiying candidate # 43.017 * * * * [progress]: [ 83 / 143 ] simplifiying candidate # 43.017 * * * * [progress]: [ 84 / 143 ] simplifiying candidate # 43.017 * [simplify]: Simplifying (* U U) 43.018 * * [simplify]: iters left: 2 (2 enodes) 43.019 * * [simplify]: iters left: 1 (6 enodes) 43.020 * * [simplify]: Extracting #0: cost 1 inf + 0 43.020 * * [simplify]: Extracting #1: cost 3 inf + 0 43.020 * * [simplify]: Extracting #2: cost 2 inf + 1 43.020 * * [simplify]: Extracting #3: cost 0 inf + 83 43.021 * [simplify]: Simplified to (* U U) 43.021 * [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))) 43.021 * [simplify]: Simplifying (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) 43.021 * * [simplify]: iters left: 6 (8 enodes) 43.027 * * [simplify]: iters left: 5 (36 enodes) 43.040 * * [simplify]: iters left: 4 (87 enodes) 43.069 * * [simplify]: iters left: 3 (207 enodes) 43.159 * * [simplify]: iters left: 2 (334 enodes) 43.265 * * [simplify]: iters left: 1 (346 enodes) 43.381 * * [simplify]: Extracting #0: cost 1 inf + 0 43.381 * * [simplify]: Extracting #1: cost 27 inf + 0 43.381 * * [simplify]: Extracting #2: cost 45 inf + 126 43.381 * * [simplify]: Extracting #3: cost 40 inf + 539 43.382 * * [simplify]: Extracting #4: cost 38 inf + 582 43.383 * * [simplify]: Extracting #5: cost 16 inf + 4323 43.385 * * [simplify]: Extracting #6: cost 1 inf + 7145 43.387 * * [simplify]: Extracting #7: cost 0 inf + 7248 43.390 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) 2) J) (* (* (cos (/ K 2)) 2) J)) 43.390 * [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))) 43.390 * * * * [progress]: [ 85 / 143 ] simplifiying candidate # 43.390 * * * * [progress]: [ 86 / 143 ] simplifiying candidate # 43.390 * [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)))))) 43.390 * * [simplify]: iters left: 6 (12 enodes) 43.394 * * [simplify]: iters left: 5 (46 enodes) 43.401 * * [simplify]: iters left: 4 (68 enodes) 43.421 * * [simplify]: iters left: 3 (95 enodes) 43.437 * * [simplify]: iters left: 2 (144 enodes) 43.479 * * [simplify]: iters left: 1 (288 enodes) 43.563 * * [simplify]: Extracting #0: cost 1 inf + 0 43.563 * * [simplify]: Extracting #1: cost 71 inf + 0 43.563 * * [simplify]: Extracting #2: cost 140 inf + 46 43.564 * * [simplify]: Extracting #3: cost 128 inf + 636 43.565 * * [simplify]: Extracting #4: cost 111 inf + 2561 43.566 * * [simplify]: Extracting #5: cost 99 inf + 4759 43.571 * * [simplify]: Extracting #6: cost 26 inf + 35874 43.588 * * [simplify]: Extracting #7: cost 0 inf + 49849 43.606 * [simplify]: Simplified to (* (cbrt (/ (/ (/ U J) (cos (/ K 2))) 2)) (/ (/ (/ U J) (cos (/ K 2))) 2)) 43.606 * [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))) 43.606 * [simplify]: Simplifying (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J))))) 43.607 * * [simplify]: iters left: 6 (11 enodes) 43.613 * * [simplify]: iters left: 5 (39 enodes) 43.619 * * [simplify]: iters left: 4 (57 enodes) 43.628 * * [simplify]: iters left: 3 (74 enodes) 43.640 * * [simplify]: iters left: 2 (79 enodes) 43.659 * * [simplify]: Extracting #0: cost 1 inf + 0 43.659 * * [simplify]: Extracting #1: cost 3 inf + 0 43.659 * * [simplify]: Extracting #2: cost 5 inf + 0 43.660 * * [simplify]: Extracting #3: cost 16 inf + 0 43.660 * * [simplify]: Extracting #4: cost 25 inf + 3 43.660 * * [simplify]: Extracting #5: cost 28 inf + 129 43.660 * * [simplify]: Extracting #6: cost 13 inf + 1889 43.662 * * [simplify]: Extracting #7: cost 3 inf + 3901 43.663 * * [simplify]: Extracting #8: cost 0 inf + 4410 43.665 * [simplify]: Simplified to (* (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))) (cbrt (/ (/ U (* J 2)) (cos (/ K 2))))) 43.665 * [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))) 43.665 * * * * [progress]: [ 87 / 143 ] simplifiying candidate # 43.665 * [simplify]: Simplifying (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) 43.666 * * [simplify]: iters left: 6 (11 enodes) 43.671 * * [simplify]: iters left: 5 (37 enodes) 43.683 * * [simplify]: iters left: 4 (56 enodes) 43.699 * * [simplify]: iters left: 3 (73 enodes) 43.715 * * [simplify]: iters left: 2 (78 enodes) 43.725 * * [simplify]: Extracting #0: cost 1 inf + 0 43.725 * * [simplify]: Extracting #1: cost 13 inf + 0 43.725 * * [simplify]: Extracting #2: cost 23 inf + 3 43.725 * * [simplify]: Extracting #3: cost 26 inf + 129 43.725 * * [simplify]: Extracting #4: cost 16 inf + 851 43.727 * * [simplify]: Extracting #5: cost 3 inf + 3053 43.728 * * [simplify]: Extracting #6: cost 0 inf + 3642 43.728 * [simplify]: Simplified to (/ (/ U 2) (* (cos (/ K 2)) J)) 43.729 * [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))) 43.729 * [simplify]: Simplifying (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) 43.729 * * [simplify]: iters left: 6 (11 enodes) 43.732 * * [simplify]: iters left: 5 (37 enodes) 43.738 * * [simplify]: iters left: 4 (56 enodes) 43.752 * * [simplify]: iters left: 3 (73 enodes) 43.771 * * [simplify]: iters left: 2 (78 enodes) 43.789 * * [simplify]: Extracting #0: cost 1 inf + 0 43.789 * * [simplify]: Extracting #1: cost 13 inf + 0 43.789 * * [simplify]: Extracting #2: cost 23 inf + 3 43.790 * * [simplify]: Extracting #3: cost 26 inf + 129 43.790 * * [simplify]: Extracting #4: cost 16 inf + 851 43.791 * * [simplify]: Extracting #5: cost 3 inf + 3053 43.792 * * [simplify]: Extracting #6: cost 0 inf + 3642 43.794 * [simplify]: Simplified to (/ (/ U 2) (* (cos (/ K 2)) J)) 43.794 * [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))) 43.794 * * * * [progress]: [ 88 / 143 ] simplifiying candidate # 43.794 * [simplify]: Simplifying (* (/ (* (cbrt U) (cbrt U)) 2) (/ (* (cbrt U) (cbrt U)) 2)) 43.795 * * [simplify]: iters left: 6 (6 enodes) 43.798 * * [simplify]: iters left: 5 (24 enodes) 43.807 * * [simplify]: iters left: 4 (46 enodes) 43.824 * * [simplify]: iters left: 3 (94 enodes) 43.847 * * [simplify]: iters left: 2 (159 enodes) 43.892 * * [simplify]: iters left: 1 (178 enodes) 43.923 * * [simplify]: Extracting #0: cost 1 inf + 0 43.923 * * [simplify]: Extracting #1: cost 29 inf + 0 43.924 * * [simplify]: Extracting #2: cost 41 inf + 574 43.925 * * [simplify]: Extracting #3: cost 17 inf + 3701 43.928 * * [simplify]: Extracting #4: cost 1 inf + 6290 43.931 * * [simplify]: Extracting #5: cost 0 inf + 6582 43.933 * [simplify]: Simplified to (/ (cbrt U) (/ 4 U)) 43.933 * [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))) 43.933 * [simplify]: Simplifying (* (/ (cbrt U) (* (cos (/ K 2)) J)) (/ (cbrt U) (* (cos (/ K 2)) J))) 43.933 * * [simplify]: iters left: 6 (10 enodes) 43.937 * * [simplify]: iters left: 5 (37 enodes) 43.943 * * [simplify]: iters left: 4 (67 enodes) 43.956 * * [simplify]: iters left: 3 (153 enodes) 43.997 * * [simplify]: iters left: 2 (265 enodes) 44.084 * * [simplify]: iters left: 1 (362 enodes) 44.175 * * [simplify]: Extracting #0: cost 1 inf + 0 44.176 * * [simplify]: Extracting #1: cost 35 inf + 0 44.176 * * [simplify]: Extracting #2: cost 67 inf + 42 44.176 * * [simplify]: Extracting #3: cost 66 inf + 287 44.177 * * [simplify]: Extracting #4: cost 37 inf + 5381 44.181 * * [simplify]: Extracting #5: cost 4 inf + 13267 44.184 * * [simplify]: Extracting #6: cost 0 inf + 14362 44.188 * [simplify]: Simplified to (* (/ (/ (cbrt U) J) (cos (/ K 2))) (/ (/ (cbrt U) J) (cos (/ K 2)))) 44.188 * [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))) 44.188 * * * * [progress]: [ 89 / 143 ] simplifiying candidate # 44.189 * [simplify]: Simplifying (* (/ (sqrt U) 2) (/ (sqrt U) 2)) 44.189 * * [simplify]: iters left: 5 (5 enodes) 44.192 * * [simplify]: iters left: 4 (19 enodes) 44.198 * * [simplify]: iters left: 3 (27 enodes) 44.206 * * [simplify]: iters left: 2 (34 enodes) 44.216 * * [simplify]: iters left: 1 (44 enodes) 44.228 * * [simplify]: Extracting #0: cost 1 inf + 0 44.228 * * [simplify]: Extracting #1: cost 11 inf + 0 44.228 * * [simplify]: Extracting #2: cost 14 inf + 3 44.228 * * [simplify]: Extracting #3: cost 6 inf + 457 44.229 * * [simplify]: Extracting #4: cost 1 inf + 827 44.229 * * [simplify]: Extracting #5: cost 0 inf + 909 44.230 * [simplify]: Simplified to (/ U 4) 44.230 * [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))) 44.230 * [simplify]: Simplifying (* (/ (sqrt U) (* (cos (/ K 2)) J)) (/ (sqrt U) (* (cos (/ K 2)) J))) 44.230 * * [simplify]: iters left: 6 (10 enodes) 44.235 * * [simplify]: iters left: 5 (37 enodes) 44.246 * * [simplify]: iters left: 4 (67 enodes) 44.258 * * [simplify]: iters left: 3 (146 enodes) 44.301 * * [simplify]: iters left: 2 (251 enodes) 44.379 * * [simplify]: iters left: 1 (349 enodes) 44.531 * * [simplify]: Extracting #0: cost 1 inf + 0 44.531 * * [simplify]: Extracting #1: cost 35 inf + 0 44.531 * * [simplify]: Extracting #2: cost 62 inf + 166 44.532 * * [simplify]: Extracting #3: cost 55 inf + 984 44.535 * * [simplify]: Extracting #4: cost 30 inf + 4815 44.541 * * [simplify]: Extracting #5: cost 2 inf + 10753 44.548 * * [simplify]: Extracting #6: cost 0 inf + 11240 44.555 * [simplify]: Simplified to (/ U (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))) 44.555 * [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))) 44.555 * * * * [progress]: [ 90 / 143 ] simplifiying candidate # 44.556 * [simplify]: Simplifying (* (/ 1 2) (/ 1 2)) 44.556 * * [simplify]: iters left: 4 (4 enodes) 44.562 * * [simplify]: iters left: 3 (20 enodes) 44.565 * * [simplify]: iters left: 2 (22 enodes) 44.568 * * [simplify]: Extracting #0: cost 1 inf + 0 44.568 * * [simplify]: Extracting #1: cost 0 inf + 1 44.568 * [simplify]: Simplified to 1/4 44.569 * [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))) 44.569 * [simplify]: Simplifying (* (/ U (* (cos (/ K 2)) J)) (/ U (* (cos (/ K 2)) J))) 44.569 * * [simplify]: iters left: 6 (9 enodes) 44.571 * * [simplify]: iters left: 5 (34 enodes) 44.578 * * [simplify]: iters left: 4 (64 enodes) 44.590 * * [simplify]: iters left: 3 (148 enodes) 44.645 * * [simplify]: iters left: 2 (260 enodes) 44.763 * * [simplify]: iters left: 1 (358 enodes) 44.916 * * [simplify]: Extracting #0: cost 1 inf + 0 44.917 * * [simplify]: Extracting #1: cost 35 inf + 0 44.917 * * [simplify]: Extracting #2: cost 64 inf + 43 44.917 * * [simplify]: Extracting #3: cost 57 inf + 701 44.918 * * [simplify]: Extracting #4: cost 50 inf + 1032 44.919 * * [simplify]: Extracting #5: cost 32 inf + 3989 44.922 * * [simplify]: Extracting #6: cost 1 inf + 10017 44.925 * * [simplify]: Extracting #7: cost 0 inf + 10200 44.928 * [simplify]: Simplified to (* (/ (/ U J) (cos (/ K 2))) (/ (/ U J) (cos (/ K 2)))) 44.929 * [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))) 44.929 * * * * [progress]: [ 91 / 143 ] simplifiying candidate # 44.929 * [simplify]: Simplifying (* 1 1) 44.929 * * [simplify]: iters left: 2 (2 enodes) 44.930 * * [simplify]: iters left: 1 (6 enodes) 44.931 * * [simplify]: Extracting #0: cost 1 inf + 0 44.931 * * [simplify]: Extracting #1: cost 0 inf + 1 44.931 * [simplify]: Simplified to 1 44.931 * [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))) 44.931 * [simplify]: Simplifying (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 44.931 * * [simplify]: iters left: 6 (10 enodes) 44.934 * * [simplify]: iters left: 5 (40 enodes) 44.941 * * [simplify]: iters left: 4 (91 enodes) 44.986 * * [simplify]: iters left: 3 (345 enodes) 45.267 * * [simplify]: Extracting #0: cost 1 inf + 0 45.268 * * [simplify]: Extracting #1: cost 118 inf + 0 45.270 * * [simplify]: Extracting #2: cost 235 inf + 45 45.273 * * [simplify]: Extracting #3: cost 206 inf + 2474 45.288 * * [simplify]: Extracting #4: cost 104 inf + 22209 45.315 * * [simplify]: Extracting #5: cost 6 inf + 45227 45.334 * * [simplify]: Extracting #6: cost 0 inf + 46605 45.348 * * [simplify]: Extracting #7: cost 0 inf + 46604 45.369 * [simplify]: Simplified to (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) 45.369 * [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))) 45.369 * * * * [progress]: [ 92 / 143 ] simplifiying candidate # 45.369 * [simplify]: Simplifying (* U U) 45.369 * * [simplify]: iters left: 2 (2 enodes) 45.370 * * [simplify]: iters left: 1 (6 enodes) 45.372 * * [simplify]: Extracting #0: cost 1 inf + 0 45.372 * * [simplify]: Extracting #1: cost 3 inf + 0 45.372 * * [simplify]: Extracting #2: cost 2 inf + 1 45.372 * * [simplify]: Extracting #3: cost 0 inf + 83 45.372 * [simplify]: Simplified to (* U U) 45.372 * [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))) 45.373 * [simplify]: Simplifying (* (/ 1 (* 2 (* (cos (/ K 2)) J))) (/ 1 (* 2 (* (cos (/ K 2)) J)))) 45.373 * * [simplify]: iters left: 6 (10 enodes) 45.379 * * [simplify]: iters left: 5 (43 enodes) 45.397 * * [simplify]: iters left: 4 (82 enodes) 45.423 * * [simplify]: iters left: 3 (274 enodes) 45.665 * * [simplify]: Extracting #0: cost 1 inf + 0 45.665 * * [simplify]: Extracting #1: cost 74 inf + 0 45.666 * * [simplify]: Extracting #2: cost 171 inf + 90 45.668 * * [simplify]: Extracting #3: cost 152 inf + 2072 45.674 * * [simplify]: Extracting #4: cost 88 inf + 14128 45.691 * * [simplify]: Extracting #5: cost 3 inf + 32394 45.705 * * [simplify]: Extracting #6: cost 0 inf + 33107 45.715 * * [simplify]: Extracting #7: cost 0 inf + 33068 45.725 * [simplify]: Simplified to (/ (/ 1/4 (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)) 45.725 * [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))) 45.726 * * * * [progress]: [ 93 / 143 ] simplifiying candidate # 45.726 * [simplify]: Simplifying (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) 45.726 * * [simplify]: iters left: 6 (11 enodes) 45.731 * * [simplify]: iters left: 5 (37 enodes) 45.742 * * [simplify]: iters left: 4 (56 enodes) 45.758 * * [simplify]: iters left: 3 (73 enodes) 45.768 * * [simplify]: iters left: 2 (78 enodes) 45.777 * * [simplify]: Extracting #0: cost 1 inf + 0 45.777 * * [simplify]: Extracting #1: cost 13 inf + 0 45.777 * * [simplify]: Extracting #2: cost 23 inf + 3 45.778 * * [simplify]: Extracting #3: cost 26 inf + 129 45.778 * * [simplify]: Extracting #4: cost 16 inf + 851 45.778 * * [simplify]: Extracting #5: cost 3 inf + 3053 45.779 * * [simplify]: Extracting #6: cost 0 inf + 3642 45.780 * [simplify]: Simplified to (/ (/ U 2) (* (cos (/ K 2)) J)) 45.780 * [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))) 45.780 * [simplify]: Simplifying (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) 45.780 * * [simplify]: iters left: 6 (11 enodes) 45.783 * * [simplify]: iters left: 5 (37 enodes) 45.789 * * [simplify]: iters left: 4 (56 enodes) 45.799 * * [simplify]: iters left: 3 (73 enodes) 45.809 * * [simplify]: iters left: 2 (78 enodes) 45.818 * * [simplify]: Extracting #0: cost 1 inf + 0 45.818 * * [simplify]: Extracting #1: cost 13 inf + 0 45.818 * * [simplify]: Extracting #2: cost 23 inf + 3 45.819 * * [simplify]: Extracting #3: cost 26 inf + 129 45.819 * * [simplify]: Extracting #4: cost 16 inf + 851 45.819 * * [simplify]: Extracting #5: cost 3 inf + 3053 45.820 * * [simplify]: Extracting #6: cost 0 inf + 3642 45.821 * [simplify]: Simplified to (/ (/ U 2) (* (cos (/ K 2)) J)) 45.821 * [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))) 45.821 * * * * [progress]: [ 94 / 143 ] simplifiying candidate # 45.821 * [simplify]: Simplifying (/ U (* 2 (* (cos (/ K 2)) J))) 45.821 * * [simplify]: iters left: 6 (9 enodes) 45.824 * * [simplify]: iters left: 5 (33 enodes) 45.830 * * [simplify]: iters left: 4 (51 enodes) 45.847 * * [simplify]: iters left: 3 (68 enodes) 45.861 * * [simplify]: iters left: 2 (73 enodes) 45.870 * * [simplify]: Extracting #0: cost 1 inf + 0 45.870 * * [simplify]: Extracting #1: cost 12 inf + 0 45.870 * * [simplify]: Extracting #2: cost 21 inf + 3 45.870 * * [simplify]: Extracting #3: cost 21 inf + 337 45.870 * * [simplify]: Extracting #4: cost 12 inf + 1158 45.871 * * [simplify]: Extracting #5: cost 0 inf + 3114 45.872 * [simplify]: Simplified to (/ (/ U (* J 2)) (cos (/ K 2))) 45.872 * [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))) 45.872 * [simplify]: Simplifying (* 2 1) 45.872 * * [simplify]: iters left: 2 (3 enodes) 45.873 * * [simplify]: iters left: 1 (9 enodes) 45.875 * * [simplify]: Extracting #0: cost 1 inf + 0 45.875 * * [simplify]: Extracting #1: cost 0 inf + 1 45.875 * [simplify]: Simplified to 2 45.875 * [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))) 45.875 * * * * [progress]: [ 95 / 143 ] simplifiying candidate # 45.876 * [simplify]: Simplifying (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) 45.876 * * [simplify]: iters left: 6 (10 enodes) 45.878 * * [simplify]: iters left: 5 (36 enodes) 45.884 * * [simplify]: iters left: 4 (54 enodes) 45.892 * * [simplify]: iters left: 3 (71 enodes) 45.901 * * [simplify]: iters left: 2 (76 enodes) 45.910 * * [simplify]: Extracting #0: cost 1 inf + 0 45.910 * * [simplify]: Extracting #1: cost 3 inf + 0 45.910 * * [simplify]: Extracting #2: cost 14 inf + 0 45.910 * * [simplify]: Extracting #3: cost 23 inf + 3 45.910 * * [simplify]: Extracting #4: cost 24 inf + 295 45.910 * * [simplify]: Extracting #5: cost 9 inf + 2499 45.911 * * [simplify]: Extracting #6: cost 0 inf + 3722 45.912 * [simplify]: Simplified to (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))) 45.912 * [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))) 45.912 * * * * [progress]: [ 96 / 143 ] simplifiying candidate # 45.912 * [simplify]: Simplifying (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) 45.912 * * [simplify]: iters left: 6 (10 enodes) 45.915 * * [simplify]: iters left: 5 (36 enodes) 45.921 * * [simplify]: iters left: 4 (54 enodes) 45.937 * * [simplify]: iters left: 3 (71 enodes) 45.956 * * [simplify]: iters left: 2 (76 enodes) 45.974 * * [simplify]: Extracting #0: cost 1 inf + 0 45.974 * * [simplify]: Extracting #1: cost 3 inf + 0 45.974 * * [simplify]: Extracting #2: cost 14 inf + 0 45.975 * * [simplify]: Extracting #3: cost 23 inf + 3 45.975 * * [simplify]: Extracting #4: cost 24 inf + 295 45.976 * * [simplify]: Extracting #5: cost 9 inf + 2419 45.977 * * [simplify]: Extracting #6: cost 0 inf + 3642 45.978 * [simplify]: Simplified to (sqrt (/ (/ U (* J 2)) (cos (/ K 2)))) 45.978 * [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))) 45.979 * * * * [progress]: [ 97 / 143 ] simplifiying candidate # 45.979 * [simplify]: Simplifying (/ (cbrt U) (* (cos (/ K 2)) J)) 45.979 * * [simplify]: iters left: 6 (9 enodes) 45.984 * * [simplify]: iters left: 5 (30 enodes) 45.994 * * [simplify]: iters left: 4 (34 enodes) 46.004 * * [simplify]: iters left: 3 (36 enodes) 46.014 * * [simplify]: Extracting #0: cost 1 inf + 0 46.014 * * [simplify]: Extracting #1: cost 8 inf + 0 46.014 * * [simplify]: Extracting #2: cost 14 inf + 1 46.014 * * [simplify]: Extracting #3: cost 16 inf + 2 46.014 * * [simplify]: Extracting #4: cost 11 inf + 288 46.015 * * [simplify]: Extracting #5: cost 5 inf + 962 46.015 * * [simplify]: Extracting #6: cost 0 inf + 1958 46.016 * [simplify]: Simplified to (/ (/ (cbrt U) (cos (/ K 2))) J) 46.016 * [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))) 46.016 * * * * [progress]: [ 98 / 143 ] simplifiying candidate # 46.016 * [simplify]: Simplifying (/ (sqrt U) (* (cos (/ K 2)) J)) 46.016 * * [simplify]: iters left: 6 (9 enodes) 46.021 * * [simplify]: iters left: 5 (30 enodes) 46.029 * * [simplify]: iters left: 4 (34 enodes) 46.034 * * [simplify]: iters left: 3 (36 enodes) 46.039 * * [simplify]: Extracting #0: cost 1 inf + 0 46.039 * * [simplify]: Extracting #1: cost 8 inf + 0 46.039 * * [simplify]: Extracting #2: cost 14 inf + 1 46.039 * * [simplify]: Extracting #3: cost 16 inf + 2 46.039 * * [simplify]: Extracting #4: cost 11 inf + 168 46.039 * * [simplify]: Extracting #5: cost 5 inf + 762 46.040 * * [simplify]: Extracting #6: cost 0 inf + 1638 46.040 * [simplify]: Simplified to (/ (/ (sqrt U) (cos (/ K 2))) J) 46.040 * [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))) 46.040 * * * * [progress]: [ 99 / 143 ] simplifiying candidate # 46.040 * [simplify]: Simplifying (/ U (* (cos (/ K 2)) J)) 46.040 * * [simplify]: iters left: 6 (8 enodes) 46.042 * * [simplify]: iters left: 5 (27 enodes) 46.046 * * [simplify]: iters left: 4 (31 enodes) 46.050 * * [simplify]: iters left: 3 (33 enodes) 46.055 * * [simplify]: Extracting #0: cost 1 inf + 0 46.055 * * [simplify]: Extracting #1: cost 8 inf + 0 46.055 * * [simplify]: Extracting #2: cost 11 inf + 2 46.055 * * [simplify]: Extracting #3: cost 12 inf + 86 46.055 * * [simplify]: Extracting #4: cost 9 inf + 130 46.057 * * [simplify]: Extracting #5: cost 1 inf + 1132 46.057 * * [simplify]: Extracting #6: cost 0 inf + 1316 46.058 * [simplify]: Simplified to (/ (/ U J) (cos (/ K 2))) 46.058 * [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))) 46.058 * * * * [progress]: [ 100 / 143 ] simplifiying candidate # 46.059 * [simplify]: Simplifying (/ U (* 2 (* (cos (/ K 2)) J))) 46.059 * * [simplify]: iters left: 6 (9 enodes) 46.063 * * [simplify]: iters left: 5 (33 enodes) 46.073 * * [simplify]: iters left: 4 (51 enodes) 46.081 * * [simplify]: iters left: 3 (68 enodes) 46.090 * * [simplify]: iters left: 2 (73 enodes) 46.098 * * [simplify]: Extracting #0: cost 1 inf + 0 46.098 * * [simplify]: Extracting #1: cost 12 inf + 0 46.099 * * [simplify]: Extracting #2: cost 21 inf + 3 46.099 * * [simplify]: Extracting #3: cost 21 inf + 337 46.099 * * [simplify]: Extracting #4: cost 12 inf + 1158 46.100 * * [simplify]: Extracting #5: cost 0 inf + 3114 46.101 * [simplify]: Simplified to (/ (/ U (* J 2)) (cos (/ K 2))) 46.101 * [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))) 46.101 * * * * [progress]: [ 101 / 143 ] simplifiying candidate # 46.101 * [simplify]: Simplifying (/ 1 (* 2 (* (cos (/ K 2)) J))) 46.101 * * [simplify]: iters left: 6 (9 enodes) 46.107 * * [simplify]: iters left: 5 (36 enodes) 46.119 * * [simplify]: iters left: 4 (56 enodes) 46.134 * * [simplify]: iters left: 3 (72 enodes) 46.144 * * [simplify]: iters left: 2 (76 enodes) 46.154 * * [simplify]: Extracting #0: cost 1 inf + 0 46.154 * * [simplify]: Extracting #1: cost 12 inf + 0 46.154 * * [simplify]: Extracting #2: cost 18 inf + 46 46.154 * * [simplify]: Extracting #3: cost 21 inf + 172 46.154 * * [simplify]: Extracting #4: cost 12 inf + 1055 46.155 * * [simplify]: Extracting #5: cost 2 inf + 2464 46.155 * * [simplify]: Extracting #6: cost 0 inf + 2789 46.156 * [simplify]: Simplified to (/ (/ 1/2 J) (cos (/ K 2))) 46.156 * [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))) 46.156 * * * * [progress]: [ 102 / 143 ] simplifiying candidate # 46.156 * [simplify]: Simplifying (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J))))) 46.156 * * [simplify]: iters left: 6 (11 enodes) 46.162 * * [simplify]: iters left: 5 (39 enodes) 46.174 * * [simplify]: iters left: 4 (57 enodes) 46.185 * * [simplify]: iters left: 3 (74 enodes) 46.195 * * [simplify]: iters left: 2 (79 enodes) 46.204 * * [simplify]: Extracting #0: cost 1 inf + 0 46.204 * * [simplify]: Extracting #1: cost 3 inf + 0 46.204 * * [simplify]: Extracting #2: cost 5 inf + 0 46.204 * * [simplify]: Extracting #3: cost 16 inf + 0 46.204 * * [simplify]: Extracting #4: cost 25 inf + 3 46.204 * * [simplify]: Extracting #5: cost 28 inf + 129 46.205 * * [simplify]: Extracting #6: cost 13 inf + 1889 46.205 * * [simplify]: Extracting #7: cost 3 inf + 3901 46.206 * * [simplify]: Extracting #8: cost 0 inf + 4410 46.207 * [simplify]: Simplified to (* (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))) (cbrt (/ (/ U (* J 2)) (cos (/ K 2))))) 46.207 * [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))) 46.207 * * * * [progress]: [ 103 / 143 ] simplifiying candidate # 46.207 * [simplify]: Simplifying (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) 46.207 * * [simplify]: iters left: 6 (10 enodes) 46.212 * * [simplify]: iters left: 5 (36 enodes) 46.223 * * [simplify]: iters left: 4 (54 enodes) 46.239 * * [simplify]: iters left: 3 (71 enodes) 46.249 * * [simplify]: iters left: 2 (76 enodes) 46.258 * * [simplify]: Extracting #0: cost 1 inf + 0 46.258 * * [simplify]: Extracting #1: cost 3 inf + 0 46.258 * * [simplify]: Extracting #2: cost 14 inf + 0 46.258 * * [simplify]: Extracting #3: cost 23 inf + 3 46.258 * * [simplify]: Extracting #4: cost 24 inf + 295 46.258 * * [simplify]: Extracting #5: cost 9 inf + 2419 46.259 * * [simplify]: Extracting #6: cost 0 inf + 3642 46.260 * [simplify]: Simplified to (sqrt (/ (/ U (* J 2)) (cos (/ K 2)))) 46.260 * [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))) 46.260 * * * * [progress]: [ 104 / 143 ] simplifiying candidate # 46.260 * [simplify]: Simplifying (/ (* (cbrt U) (cbrt U)) 2) 46.261 * * [simplify]: iters left: 5 (5 enodes) 46.263 * * [simplify]: iters left: 4 (17 enodes) 46.265 * * [simplify]: iters left: 3 (21 enodes) 46.269 * * [simplify]: iters left: 2 (24 enodes) 46.276 * * [simplify]: Extracting #0: cost 1 inf + 0 46.276 * * [simplify]: Extracting #1: cost 7 inf + 0 46.276 * * [simplify]: Extracting #2: cost 11 inf + 1 46.276 * * [simplify]: Extracting #3: cost 10 inf + 2 46.277 * * [simplify]: Extracting #4: cost 0 inf + 1218 46.277 * [simplify]: Simplified to (/ (* (cbrt U) (cbrt U)) 2) 46.277 * [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))) 46.278 * * * * [progress]: [ 105 / 143 ] simplifiying candidate # 46.278 * [simplify]: Simplifying (/ (sqrt U) 2) 46.278 * * [simplify]: iters left: 3 (4 enodes) 46.281 * * [simplify]: iters left: 2 (12 enodes) 46.284 * * [simplify]: Extracting #0: cost 1 inf + 0 46.284 * * [simplify]: Extracting #1: cost 4 inf + 0 46.284 * * [simplify]: Extracting #2: cost 5 inf + 1 46.284 * * [simplify]: Extracting #3: cost 4 inf + 2 46.284 * * [simplify]: Extracting #4: cost 0 inf + 248 46.284 * [simplify]: Simplified to (/ (sqrt U) 2) 46.284 * [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))) 46.285 * * * * [progress]: [ 106 / 143 ] simplifiying candidate # 46.285 * [simplify]: Simplifying (/ 1 2) 46.285 * * [simplify]: iters left: 2 (3 enodes) 46.286 * * [simplify]: iters left: 1 (12 enodes) 46.288 * * [simplify]: Extracting #0: cost 1 inf + 0 46.289 * * [simplify]: Extracting #1: cost 0 inf + 1 46.289 * [simplify]: Simplified to 1/2 46.289 * [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))) 46.289 * * * * [progress]: [ 107 / 143 ] simplifiying candidate # 46.289 * * * * [progress]: [ 108 / 143 ] simplifiying candidate # 46.289 * * * * [progress]: [ 109 / 143 ] simplifiying candidate # 46.289 * [simplify]: Simplifying (* 2 (* (cos (/ K 2)) J)) 46.289 * * [simplify]: iters left: 6 (7 enodes) 46.291 * * [simplify]: iters left: 5 (25 enodes) 46.294 * * [simplify]: iters left: 4 (33 enodes) 46.299 * * [simplify]: iters left: 3 (39 enodes) 46.304 * * [simplify]: Extracting #0: cost 1 inf + 0 46.304 * * [simplify]: Extracting #1: cost 8 inf + 0 46.304 * * [simplify]: Extracting #2: cost 11 inf + 2 46.304 * * [simplify]: Extracting #3: cost 12 inf + 44 46.305 * * [simplify]: Extracting #4: cost 10 inf + 87 46.305 * * [simplify]: Extracting #5: cost 4 inf + 660 46.305 * * [simplify]: Extracting #6: cost 1 inf + 1128 46.305 * * [simplify]: Extracting #7: cost 0 inf + 1311 46.305 * [simplify]: Simplified to (* (cos (/ K 2)) (* J 2)) 46.306 * [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))) 46.306 * * * * [progress]: [ 110 / 143 ] simplifiying candidate # 46.306 * [simplify]: Simplifying (* U (/ U (* 2 (* (cos (/ K 2)) J)))) 46.306 * * [simplify]: iters left: 6 (10 enodes) 46.309 * * [simplify]: iters left: 5 (39 enodes) 46.319 * * [simplify]: iters left: 4 (75 enodes) 46.347 * * [simplify]: iters left: 3 (155 enodes) 46.404 * * [simplify]: iters left: 2 (223 enodes) 46.451 * * [simplify]: iters left: 1 (274 enodes) 46.523 * * [simplify]: Extracting #0: cost 1 inf + 0 46.523 * * [simplify]: Extracting #1: cost 34 inf + 0 46.523 * * [simplify]: Extracting #2: cost 56 inf + 128 46.524 * * [simplify]: Extracting #3: cost 42 inf + 1204 46.526 * * [simplify]: Extracting #4: cost 22 inf + 4022 46.531 * * [simplify]: Extracting #5: cost 0 inf + 8215 46.535 * [simplify]: Simplified to (/ U (* (/ (cos (/ K 2)) U) (* J 2))) 46.535 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (/ (/ U (* (/ (cos (/ K 2)) U) (* J 2))) (* 2 (* (cos (/ K 2)) J))) 1)) -2) (* (cos (/ K 2)) J))) 46.535 * * * * [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)))> 46.535 * * * * [progress]: [ 112 / 143 ] simplifiying candidate # 46.535 * * * * [progress]: [ 113 / 143 ] simplifiying candidate # 46.536 * [simplify]: Simplifying (* (cos (/ K 2)) J) 46.536 * * [simplify]: iters left: 5 (6 enodes) 46.539 * * [simplify]: iters left: 4 (19 enodes) 46.545 * * [simplify]: Extracting #0: cost 1 inf + 0 46.545 * * [simplify]: Extracting #1: cost 4 inf + 0 46.545 * * [simplify]: Extracting #2: cost 5 inf + 1 46.545 * * [simplify]: Extracting #3: cost 8 inf + 1 46.545 * * [simplify]: Extracting #4: cost 6 inf + 3 46.545 * * [simplify]: Extracting #5: cost 0 inf + 577 46.545 * [simplify]: Simplified to (* (cos (/ K 2)) J) 46.545 * [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))) 46.545 * * * * [progress]: [ 114 / 143 ] simplifiying candidate # 46.546 * * * * [progress]: [ 115 / 143 ] simplifiying candidate # 46.546 * [simplify]: Simplifying (+ (log (cos (/ K 2))) (log J)) 46.546 * * [simplify]: iters left: 6 (8 enodes) 46.550 * * [simplify]: iters left: 5 (25 enodes) 46.558 * * [simplify]: Extracting #0: cost 1 inf + 0 46.558 * * [simplify]: Extracting #1: cost 4 inf + 0 46.558 * * [simplify]: Extracting #2: cost 8 inf + 0 46.558 * * [simplify]: Extracting #3: cost 8 inf + 72 46.558 * * [simplify]: Extracting #4: cost 10 inf + 143 46.558 * * [simplify]: Extracting #5: cost 8 inf + 145 46.558 * * [simplify]: Extracting #6: cost 5 inf + 331 46.559 * * [simplify]: Extracting #7: cost 1 inf + 1060 46.559 * * [simplify]: Extracting #8: cost 0 inf + 1343 46.559 * [simplify]: Simplified to (+ (log J) (log (cos (/ K 2)))) 46.559 * [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))))))) 46.560 * * * * [progress]: [ 116 / 143 ] simplifiying candidate # 46.560 * * * * [progress]: [ 117 / 143 ] simplifiying candidate # 46.560 * * * * [progress]: [ 118 / 143 ] simplifiying candidate # 46.560 * [simplify]: Simplifying (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J)) 46.560 * * [simplify]: iters left: 6 (10 enodes) 46.566 * * [simplify]: iters left: 5 (37 enodes) 46.580 * * [simplify]: iters left: 4 (66 enodes) 46.605 * * [simplify]: iters left: 3 (125 enodes) 46.644 * * [simplify]: iters left: 2 (196 enodes) 46.704 * * [simplify]: iters left: 1 (379 enodes) 46.874 * * [simplify]: Extracting #0: cost 1 inf + 0 46.874 * * [simplify]: Extracting #1: cost 58 inf + 0 46.875 * * [simplify]: Extracting #2: cost 164 inf + 124 46.875 * * [simplify]: Extracting #3: cost 167 inf + 460 46.877 * * [simplify]: Extracting #4: cost 146 inf + 5062 46.883 * * [simplify]: Extracting #5: cost 35 inf + 59643 46.892 * * [simplify]: Extracting #6: cost 1 inf + 76139 46.903 * * [simplify]: Extracting #7: cost 0 inf + 76534 46.922 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)) 46.922 * [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))))) 46.922 * * * * [progress]: [ 119 / 143 ] simplifiying candidate # 46.923 * * * * [progress]: [ 120 / 143 ] simplifiying candidate # 46.923 * * * * [progress]: [ 121 / 143 ] simplifiying candidate # 46.923 * * * * [progress]: [ 122 / 143 ] simplifiying candidate # 46.923 * * * * [progress]: [ 123 / 143 ] simplifiying candidate # 46.923 * [simplify]: Simplifying (* (sqrt (cos (/ K 2))) (sqrt J)) 46.923 * * [simplify]: iters left: 6 (8 enodes) 46.927 * * [simplify]: iters left: 5 (25 enodes) 46.934 * * [simplify]: Extracting #0: cost 1 inf + 0 46.934 * * [simplify]: Extracting #1: cost 4 inf + 0 46.934 * * [simplify]: Extracting #2: cost 8 inf + 0 46.935 * * [simplify]: Extracting #3: cost 8 inf + 42 46.935 * * [simplify]: Extracting #4: cost 10 inf + 83 46.935 * * [simplify]: Extracting #5: cost 8 inf + 85 46.935 * * [simplify]: Extracting #6: cost 5 inf + 271 46.935 * * [simplify]: Extracting #7: cost 1 inf + 880 46.935 * * [simplify]: Extracting #8: cost 0 inf + 1103 46.936 * [simplify]: Simplified to (* (sqrt J) (sqrt (cos (/ K 2)))) 46.936 * [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))))) 46.936 * [simplify]: Simplifying (* (sqrt (cos (/ K 2))) (sqrt J)) 46.936 * * [simplify]: iters left: 6 (8 enodes) 46.940 * * [simplify]: iters left: 5 (25 enodes) 46.947 * * [simplify]: Extracting #0: cost 1 inf + 0 46.947 * * [simplify]: Extracting #1: cost 4 inf + 0 46.947 * * [simplify]: Extracting #2: cost 8 inf + 0 46.947 * * [simplify]: Extracting #3: cost 8 inf + 42 46.948 * * [simplify]: Extracting #4: cost 10 inf + 83 46.948 * * [simplify]: Extracting #5: cost 8 inf + 85 46.948 * * [simplify]: Extracting #6: cost 5 inf + 271 46.948 * * [simplify]: Extracting #7: cost 1 inf + 880 46.949 * * [simplify]: Extracting #8: cost 0 inf + 1103 46.949 * [simplify]: Simplified to (* (sqrt J) (sqrt (cos (/ K 2)))) 46.949 * [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))))))) 46.949 * * * * [progress]: [ 124 / 143 ] simplifiying candidate # 46.950 * [simplify]: Simplifying (cbrt J) 46.950 * * [simplify]: iters left: 1 (2 enodes) 46.950 * * [simplify]: Extracting #0: cost 1 inf + 0 46.950 * * [simplify]: Extracting #1: cost 3 inf + 0 46.951 * * [simplify]: Extracting #2: cost 2 inf + 1 46.951 * * [simplify]: Extracting #3: cost 0 inf + 163 46.951 * [simplify]: Simplified to (cbrt J) 46.951 * [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)))) 46.951 * * * * [progress]: [ 125 / 143 ] simplifiying candidate # 46.951 * [simplify]: Simplifying (sqrt J) 46.951 * * [simplify]: iters left: 1 (2 enodes) 46.952 * * [simplify]: Extracting #0: cost 1 inf + 0 46.952 * * [simplify]: Extracting #1: cost 3 inf + 0 46.952 * * [simplify]: Extracting #2: cost 2 inf + 1 46.952 * * [simplify]: Extracting #3: cost 0 inf + 83 46.953 * [simplify]: Simplified to (sqrt J) 46.953 * [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)))) 46.953 * * * * [progress]: [ 126 / 143 ] simplifiying candidate # 46.953 * * * * [progress]: [ 127 / 143 ] simplifiying candidate # 46.953 * [simplify]: Simplifying (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) 46.953 * * [simplify]: iters left: 6 (6 enodes) 46.959 * * [simplify]: iters left: 5 (18 enodes) 46.965 * * [simplify]: Extracting #0: cost 1 inf + 0 46.965 * * [simplify]: Extracting #1: cost 3 inf + 0 46.965 * * [simplify]: Extracting #2: cost 5 inf + 0 46.965 * * [simplify]: Extracting #3: cost 7 inf + 0 46.965 * * [simplify]: Extracting #4: cost 10 inf + 0 46.965 * * [simplify]: Extracting #5: cost 8 inf + 2 46.965 * * [simplify]: Extracting #6: cost 0 inf + 1098 46.966 * [simplify]: Simplified to (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) 46.966 * [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)))) 46.966 * * * * [progress]: [ 128 / 143 ] simplifiying candidate # 46.966 * [simplify]: Simplifying (sqrt (cos (/ K 2))) 46.967 * * [simplify]: iters left: 4 (5 enodes) 46.969 * * [simplify]: iters left: 3 (15 enodes) 46.974 * * [simplify]: Extracting #0: cost 1 inf + 0 46.974 * * [simplify]: Extracting #1: cost 3 inf + 0 46.974 * * [simplify]: Extracting #2: cost 5 inf + 0 46.974 * * [simplify]: Extracting #3: cost 8 inf + 0 46.974 * * [simplify]: Extracting #4: cost 6 inf + 2 46.974 * * [simplify]: Extracting #5: cost 0 inf + 574 46.974 * [simplify]: Simplified to (sqrt (cos (/ K 2))) 46.974 * [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)))) 46.975 * * * * [progress]: [ 129 / 143 ] simplifiying candidate # 46.975 * * * * [progress]: [ 130 / 143 ] simplifiying candidate #real (real->posit16 (* (cos (/ K 2)) J)))))> 46.975 * * * * [progress]: [ 131 / 143 ] simplifiying candidate # 46.975 * * * * [progress]: [ 132 / 143 ] simplifiying candidate # 46.975 * [simplify]: Simplifying 1 46.975 * * [simplify]: iters left: 0 (1 enodes) 46.976 * * [simplify]: Extracting #0: cost 1 inf + 0 46.976 * * [simplify]: Extracting #1: cost 0 inf + 1 46.976 * [simplify]: Simplified to 1 46.976 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* 1 -2) (* (cos (/ K 2)) J))) 46.976 * * * * [progress]: [ 133 / 143 ] simplifiying candidate # 46.977 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 46.977 * * [simplify]: iters left: 6 (9 enodes) 46.981 * * [simplify]: iters left: 5 (34 enodes) 46.992 * * [simplify]: iters left: 4 (56 enodes) 47.009 * * [simplify]: iters left: 3 (90 enodes) 47.028 * * [simplify]: iters left: 2 (114 enodes) 47.045 * * [simplify]: iters left: 1 (131 enodes) 47.084 * * [simplify]: Extracting #0: cost 1 inf + 0 47.084 * * [simplify]: Extracting #1: cost 22 inf + 0 47.085 * * [simplify]: Extracting #2: cost 37 inf + 3 47.085 * * [simplify]: Extracting #3: cost 31 inf + 380 47.086 * * [simplify]: Extracting #4: cost 17 inf + 1834 47.088 * * [simplify]: Extracting #5: cost 3 inf + 4117 47.089 * * [simplify]: Extracting #6: cost 0 inf + 4586 47.090 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 47.090 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) -2) (* (cos (/ K 2)) J))) 47.090 * * * * [progress]: [ 134 / 143 ] simplifiying candidate # 47.090 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 47.090 * * [simplify]: iters left: 6 (9 enodes) 47.092 * * [simplify]: iters left: 5 (34 enodes) 47.098 * * [simplify]: iters left: 4 (56 enodes) 47.107 * * [simplify]: iters left: 3 (90 enodes) 47.120 * * [simplify]: iters left: 2 (114 enodes) 47.136 * * [simplify]: iters left: 1 (131 enodes) 47.159 * * [simplify]: Extracting #0: cost 1 inf + 0 47.159 * * [simplify]: Extracting #1: cost 22 inf + 0 47.160 * * [simplify]: Extracting #2: cost 37 inf + 3 47.160 * * [simplify]: Extracting #3: cost 31 inf + 380 47.161 * * [simplify]: Extracting #4: cost 17 inf + 1834 47.163 * * [simplify]: Extracting #5: cost 3 inf + 4117 47.165 * * [simplify]: Extracting #6: cost 0 inf + 4586 47.167 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 47.167 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) -2) (* (cos (/ K 2)) J))) 47.167 * * * * [progress]: [ 135 / 143 ] simplifiying candidate # 47.167 * [simplify]: Simplifying (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 47.167 * * [simplify]: iters left: 6 (10 enodes) 47.174 * * [simplify]: iters left: 5 (43 enodes) 47.189 * * [simplify]: iters left: 4 (79 enodes) 47.214 * * [simplify]: iters left: 3 (118 enodes) 47.250 * * [simplify]: iters left: 2 (171 enodes) 47.311 * * [simplify]: iters left: 1 (241 enodes) 47.395 * * [simplify]: Extracting #0: cost 1 inf + 0 47.395 * * [simplify]: Extracting #1: cost 6 inf + 0 47.395 * * [simplify]: Extracting #2: cost 41 inf + 0 47.396 * * [simplify]: Extracting #3: cost 56 inf + 213 47.397 * * [simplify]: Extracting #4: cost 20 inf + 2774 47.400 * * [simplify]: Extracting #5: cost 2 inf + 4494 47.402 * * [simplify]: Extracting #6: cost 0 inf + 4698 47.405 * [simplify]: Simplified to (- (* -2 J) (/ (* U U) (/ J 1/4))) 47.405 * [simplify]: Simplified (2) to (λ (J K U) (- (* -2 J) (/ (* U U) (/ J 1/4)))) 47.405 * * * * [progress]: [ 136 / 143 ] simplifiying candidate # 47.405 * [simplify]: Simplifying (* -1 U) 47.405 * * [simplify]: iters left: 2 (3 enodes) 47.407 * * [simplify]: iters left: 1 (11 enodes) 47.410 * * [simplify]: Extracting #0: cost 1 inf + 0 47.410 * * [simplify]: Extracting #1: cost 4 inf + 0 47.410 * * [simplify]: Extracting #2: cost 0 inf + 84 47.410 * [simplify]: Simplified to (- U) 47.410 * [simplify]: Simplified (2) to (λ (J K U) (- U)) 47.410 * * * * [progress]: [ 137 / 143 ] simplifiying candidate # 47.410 * [simplify]: Simplifying (* -1 U) 47.410 * * [simplify]: iters left: 2 (3 enodes) 47.412 * * [simplify]: iters left: 1 (11 enodes) 47.415 * * [simplify]: Extracting #0: cost 1 inf + 0 47.415 * * [simplify]: Extracting #1: cost 4 inf + 0 47.415 * * [simplify]: Extracting #2: cost 0 inf + 84 47.415 * [simplify]: Simplified to (- U) 47.415 * [simplify]: Simplified (2) to (λ (J K U) (- U)) 47.415 * * * * [progress]: [ 138 / 143 ] simplifiying candidate # 47.415 * [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))))) 47.415 * * [simplify]: iters left: 6 (22 enodes) 47.429 * * [simplify]: iters left: 5 (98 enodes) 47.464 * * [simplify]: iters left: 4 (205 enodes) 47.541 * * [simplify]: Extracting #0: cost 1 inf + 0 47.541 * * [simplify]: Extracting #1: cost 8 inf + 0 47.542 * * [simplify]: Extracting #2: cost 99 inf + 0 47.542 * * [simplify]: Extracting #3: cost 192 inf + 415 47.546 * * [simplify]: Extracting #4: cost 120 inf + 9005 47.552 * * [simplify]: Extracting #5: cost 11 inf + 25203 47.558 * * [simplify]: Extracting #6: cost 0 inf + 25797 47.564 * * [simplify]: Extracting #7: cost 0 inf + 25477 47.571 * [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))) 47.571 * [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))) 47.571 * * * * [progress]: [ 139 / 143 ] simplifiying candidate # 47.571 * [simplify]: Simplifying (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 47.571 * * [simplify]: iters left: 6 (14 enodes) 47.576 * * [simplify]: iters left: 5 (60 enodes) 47.587 * * [simplify]: iters left: 4 (121 enodes) 47.622 * * [simplify]: iters left: 3 (407 enodes) 47.861 * * [simplify]: Extracting #0: cost 1 inf + 0 47.861 * * [simplify]: Extracting #1: cost 138 inf + 0 47.864 * * [simplify]: Extracting #2: cost 291 inf + 126 47.867 * * [simplify]: Extracting #3: cost 261 inf + 2764 47.875 * * [simplify]: Extracting #4: cost 169 inf + 19179 47.900 * * [simplify]: Extracting #5: cost 12 inf + 55307 47.918 * * [simplify]: Extracting #6: cost 0 inf + 57978 47.934 * * [simplify]: Extracting #7: cost 0 inf + 57938 47.961 * [simplify]: Simplified to (/ 1/4 (* (* (/ J U) (cos (* 1/2 K))) (* (/ J U) (cos (* 1/2 K))))) 47.961 * [simplify]: Simplified (2 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (/ 1/4 (* (* (/ J U) (cos (* 1/2 K))) (* (/ J U) (cos (* 1/2 K))))) 1)) -2) (* (cos (/ K 2)) J))) 47.962 * * * * [progress]: [ 140 / 143 ] simplifiying candidate # 47.962 * [simplify]: Simplifying (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 47.962 * * [simplify]: iters left: 6 (14 enodes) 47.966 * * [simplify]: iters left: 5 (60 enodes) 47.978 * * [simplify]: iters left: 4 (121 enodes) 48.020 * * [simplify]: iters left: 3 (407 enodes) 48.228 * * [simplify]: Extracting #0: cost 1 inf + 0 48.229 * * [simplify]: Extracting #1: cost 138 inf + 0 48.231 * * [simplify]: Extracting #2: cost 291 inf + 126 48.233 * * [simplify]: Extracting #3: cost 261 inf + 2764 48.241 * * [simplify]: Extracting #4: cost 169 inf + 19179 48.268 * * [simplify]: Extracting #5: cost 12 inf + 55307 48.288 * * [simplify]: Extracting #6: cost 0 inf + 57978 48.303 * * [simplify]: Extracting #7: cost 0 inf + 57938 48.323 * [simplify]: Simplified to (/ 1/4 (* (* (/ J U) (cos (* 1/2 K))) (* (/ J U) (cos (* 1/2 K))))) 48.323 * [simplify]: Simplified (2 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (/ 1/4 (* (* (/ J U) (cos (* 1/2 K))) (* (/ J U) (cos (* 1/2 K))))) 1)) -2) (* (cos (/ K 2)) J))) 48.323 * * * * [progress]: [ 141 / 143 ] simplifiying candidate # 48.323 * [simplify]: Simplifying (- J (* 1/8 (* (pow K 2) J))) 48.323 * * [simplify]: iters left: 6 (8 enodes) 48.329 * * [simplify]: iters left: 5 (35 enodes) 48.341 * * [simplify]: iters left: 4 (67 enodes) 48.365 * * [simplify]: iters left: 3 (133 enodes) 48.418 * * [simplify]: iters left: 2 (207 enodes) 48.500 * * [simplify]: iters left: 1 (230 enodes) 48.546 * * [simplify]: Extracting #0: cost 1 inf + 0 48.546 * * [simplify]: Extracting #1: cost 6 inf + 0 48.547 * * [simplify]: Extracting #2: cost 28 inf + 1 48.547 * * [simplify]: Extracting #3: cost 33 inf + 378 48.549 * * [simplify]: Extracting #4: cost 2 inf + 2884 48.551 * * [simplify]: Extracting #5: cost 0 inf + 3130 48.553 * [simplify]: Simplified to (- J (* (* K K) (* J 1/8))) 48.553 * [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))))) 48.553 * * * * [progress]: [ 142 / 143 ] simplifiying candidate # 48.554 * [simplify]: Simplifying (* (cos (* 1/2 K)) J) 48.554 * * [simplify]: iters left: 5 (6 enodes) 48.557 * * [simplify]: iters left: 4 (20 enodes) 48.563 * * [simplify]: Extracting #0: cost 1 inf + 0 48.563 * * [simplify]: Extracting #1: cost 4 inf + 0 48.563 * * [simplify]: Extracting #2: cost 5 inf + 1 48.563 * * [simplify]: Extracting #3: cost 8 inf + 1 48.563 * * [simplify]: Extracting #4: cost 6 inf + 3 48.563 * * [simplify]: Extracting #5: cost 0 inf + 577 48.563 * [simplify]: Simplified to (* (cos (* 1/2 K)) J) 48.563 * [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))) 48.564 * * * * [progress]: [ 143 / 143 ] simplifiying candidate # 48.564 * [simplify]: Simplifying (* (cos (* 1/2 K)) J) 48.564 * * [simplify]: iters left: 5 (6 enodes) 48.565 * * [simplify]: iters left: 4 (20 enodes) 48.569 * * [simplify]: Extracting #0: cost 1 inf + 0 48.569 * * [simplify]: Extracting #1: cost 4 inf + 0 48.569 * * [simplify]: Extracting #2: cost 5 inf + 1 48.569 * * [simplify]: Extracting #3: cost 8 inf + 1 48.569 * * [simplify]: Extracting #4: cost 6 inf + 3 48.569 * * [simplify]: Extracting #5: cost 0 inf + 577 48.569 * [simplify]: Simplified to (* (cos (* 1/2 K)) J) 48.569 * [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))) 48.570 * * * [progress]: adding candidates to table 50.416 * * [progress]: iteration 2 / 4 50.416 * * * [progress]: picking best candidate 50.452 * * * * [pick]: Picked # 50.452 * * * [progress]: localizing error 50.498 * * * [progress]: generating rewritten candidates 50.498 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 50.640 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 51.020 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 51.121 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 51.145 * * * [progress]: generating series expansions 51.145 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 51.146 * [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)) 51.146 * [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 51.146 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 51.146 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 51.146 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 51.146 * [taylor]: Taking taylor expansion of 1/4 in J 51.146 * [backup-simplify]: Simplify 1/4 into 1/4 51.146 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 51.146 * [taylor]: Taking taylor expansion of (pow U 2) in J 51.146 * [taylor]: Taking taylor expansion of U in J 51.146 * [backup-simplify]: Simplify U into U 51.146 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 51.146 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 51.146 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 51.146 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 51.146 * [taylor]: Taking taylor expansion of 1/2 in J 51.146 * [backup-simplify]: Simplify 1/2 into 1/2 51.146 * [taylor]: Taking taylor expansion of K in J 51.146 * [backup-simplify]: Simplify K into K 51.146 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 51.146 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 51.146 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 51.146 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 51.146 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 51.147 * [backup-simplify]: Simplify (- 0) into 0 51.147 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 51.147 * [taylor]: Taking taylor expansion of (pow J 2) in J 51.147 * [taylor]: Taking taylor expansion of J in J 51.147 * [backup-simplify]: Simplify 0 into 0 51.147 * [backup-simplify]: Simplify 1 into 1 51.147 * [backup-simplify]: Simplify (* U U) into (pow U 2) 51.147 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 51.147 * [backup-simplify]: Simplify (* 1 1) into 1 51.148 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 51.148 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 51.148 * [taylor]: Taking taylor expansion of 1 in J 51.148 * [backup-simplify]: Simplify 1 into 1 51.148 * [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))) 51.148 * [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))) 51.148 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 51.148 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 51.149 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.149 * [backup-simplify]: Simplify (+ 0) into 0 51.149 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 51.150 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 51.150 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.151 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 51.151 * [backup-simplify]: Simplify (- 0) into 0 51.151 * [backup-simplify]: Simplify (+ 0 0) into 0 51.151 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 51.152 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 51.152 * [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 51.152 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 51.153 * [backup-simplify]: Simplify (+ 0 0) into 0 51.153 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 51.153 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 51.153 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 51.153 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 51.153 * [taylor]: Taking taylor expansion of 1/4 in K 51.153 * [backup-simplify]: Simplify 1/4 into 1/4 51.153 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 51.153 * [taylor]: Taking taylor expansion of (pow U 2) in K 51.153 * [taylor]: Taking taylor expansion of U in K 51.153 * [backup-simplify]: Simplify U into U 51.153 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 51.153 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 51.153 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 51.153 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 51.153 * [taylor]: Taking taylor expansion of 1/2 in K 51.153 * [backup-simplify]: Simplify 1/2 into 1/2 51.153 * [taylor]: Taking taylor expansion of K in K 51.153 * [backup-simplify]: Simplify 0 into 0 51.153 * [backup-simplify]: Simplify 1 into 1 51.153 * [backup-simplify]: Simplify (* 1/2 0) into 0 51.154 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 51.154 * [taylor]: Taking taylor expansion of (pow J 2) in K 51.154 * [taylor]: Taking taylor expansion of J in K 51.154 * [backup-simplify]: Simplify J into J 51.154 * [backup-simplify]: Simplify (* U U) into (pow U 2) 51.154 * [backup-simplify]: Simplify (* 1 1) into 1 51.154 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.154 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 51.155 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 51.155 * [taylor]: Taking taylor expansion of 1 in K 51.155 * [backup-simplify]: Simplify 1 into 1 51.155 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 51.155 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 51.155 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 51.155 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 51.155 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 51.155 * [backup-simplify]: Simplify (+ 0) into 0 51.156 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.156 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 51.156 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 51.157 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 51.157 * [backup-simplify]: Simplify (+ 0 0) into 0 51.157 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 51.157 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 51.157 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 51.157 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 51.157 * [taylor]: Taking taylor expansion of 1/4 in U 51.157 * [backup-simplify]: Simplify 1/4 into 1/4 51.157 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 51.157 * [taylor]: Taking taylor expansion of (pow U 2) in U 51.157 * [taylor]: Taking taylor expansion of U in U 51.157 * [backup-simplify]: Simplify 0 into 0 51.157 * [backup-simplify]: Simplify 1 into 1 51.157 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 51.157 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 51.157 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 51.157 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 51.157 * [taylor]: Taking taylor expansion of 1/2 in U 51.157 * [backup-simplify]: Simplify 1/2 into 1/2 51.157 * [taylor]: Taking taylor expansion of K in U 51.157 * [backup-simplify]: Simplify K into K 51.157 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 51.157 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 51.157 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 51.158 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 51.158 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 51.158 * [backup-simplify]: Simplify (- 0) into 0 51.158 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 51.158 * [taylor]: Taking taylor expansion of (pow J 2) in U 51.158 * [taylor]: Taking taylor expansion of J in U 51.158 * [backup-simplify]: Simplify J into J 51.158 * [backup-simplify]: Simplify (* 1 1) into 1 51.158 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 51.158 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.158 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 51.159 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 51.159 * [taylor]: Taking taylor expansion of 1 in U 51.159 * [backup-simplify]: Simplify 1 into 1 51.159 * [backup-simplify]: Simplify (+ 0 1) into 1 51.159 * [backup-simplify]: Simplify (sqrt 1) into 1 51.159 * [backup-simplify]: Simplify (+ 0 0) into 0 51.160 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 51.160 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 51.160 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 51.160 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 51.160 * [taylor]: Taking taylor expansion of 1/4 in U 51.160 * [backup-simplify]: Simplify 1/4 into 1/4 51.160 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 51.160 * [taylor]: Taking taylor expansion of (pow U 2) in U 51.160 * [taylor]: Taking taylor expansion of U in U 51.160 * [backup-simplify]: Simplify 0 into 0 51.160 * [backup-simplify]: Simplify 1 into 1 51.160 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 51.160 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 51.160 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 51.160 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 51.160 * [taylor]: Taking taylor expansion of 1/2 in U 51.160 * [backup-simplify]: Simplify 1/2 into 1/2 51.160 * [taylor]: Taking taylor expansion of K in U 51.160 * [backup-simplify]: Simplify K into K 51.160 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 51.160 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 51.160 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 51.160 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 51.160 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 51.161 * [backup-simplify]: Simplify (- 0) into 0 51.161 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 51.161 * [taylor]: Taking taylor expansion of (pow J 2) in U 51.161 * [taylor]: Taking taylor expansion of J in U 51.161 * [backup-simplify]: Simplify J into J 51.161 * [backup-simplify]: Simplify (* 1 1) into 1 51.161 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 51.161 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.161 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 51.161 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 51.161 * [taylor]: Taking taylor expansion of 1 in U 51.161 * [backup-simplify]: Simplify 1 into 1 51.162 * [backup-simplify]: Simplify (+ 0 1) into 1 51.162 * [backup-simplify]: Simplify (sqrt 1) into 1 51.162 * [backup-simplify]: Simplify (+ 0 0) into 0 51.163 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 51.163 * [taylor]: Taking taylor expansion of 1 in K 51.163 * [backup-simplify]: Simplify 1 into 1 51.163 * [taylor]: Taking taylor expansion of 1 in J 51.163 * [backup-simplify]: Simplify 1 into 1 51.163 * [taylor]: Taking taylor expansion of 0 in K 51.163 * [backup-simplify]: Simplify 0 into 0 51.163 * [taylor]: Taking taylor expansion of 0 in J 51.163 * [backup-simplify]: Simplify 0 into 0 51.163 * [taylor]: Taking taylor expansion of 0 in J 51.163 * [backup-simplify]: Simplify 0 into 0 51.163 * [backup-simplify]: Simplify 1 into 1 51.163 * [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))) 51.163 * [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)))) 51.167 * [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))) 51.167 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 51.167 * [taylor]: Taking taylor expansion of 1/8 in K 51.167 * [backup-simplify]: Simplify 1/8 into 1/8 51.167 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 51.167 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 51.167 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 51.167 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 51.167 * [taylor]: Taking taylor expansion of 1/2 in K 51.167 * [backup-simplify]: Simplify 1/2 into 1/2 51.167 * [taylor]: Taking taylor expansion of K in K 51.167 * [backup-simplify]: Simplify 0 into 0 51.167 * [backup-simplify]: Simplify 1 into 1 51.168 * [backup-simplify]: Simplify (* 1/2 0) into 0 51.168 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 51.168 * [taylor]: Taking taylor expansion of (pow J 2) in K 51.168 * [taylor]: Taking taylor expansion of J in K 51.168 * [backup-simplify]: Simplify J into J 51.169 * [backup-simplify]: Simplify (* 1 1) into 1 51.169 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.169 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 51.169 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2)) 51.169 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J 51.169 * [taylor]: Taking taylor expansion of 1/8 in J 51.169 * [backup-simplify]: Simplify 1/8 into 1/8 51.169 * [taylor]: Taking taylor expansion of (pow J 2) in J 51.169 * [taylor]: Taking taylor expansion of J in J 51.169 * [backup-simplify]: Simplify 0 into 0 51.169 * [backup-simplify]: Simplify 1 into 1 51.170 * [backup-simplify]: Simplify (* 1 1) into 1 51.170 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 51.171 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.172 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 51.172 * [backup-simplify]: Simplify 0 into 0 51.172 * [taylor]: Taking taylor expansion of 0 in J 51.172 * [backup-simplify]: Simplify 0 into 0 51.172 * [taylor]: Taking taylor expansion of 0 in J 51.172 * [backup-simplify]: Simplify 0 into 0 51.172 * [backup-simplify]: Simplify 0 into 0 51.172 * [backup-simplify]: Simplify 0 into 0 51.172 * [backup-simplify]: Simplify 0 into 0 51.173 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.173 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 51.173 * [backup-simplify]: Simplify (+ 0) into 0 51.174 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 51.174 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 51.175 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.175 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 51.176 * [backup-simplify]: Simplify (- 0) into 0 51.176 * [backup-simplify]: Simplify (+ 0 0) into 0 51.176 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 51.177 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 51.177 * [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 51.178 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 51.178 * [backup-simplify]: Simplify (+ 0 0) into 0 51.179 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 51.179 * [taylor]: Taking taylor expansion of 0 in K 51.179 * [backup-simplify]: Simplify 0 into 0 51.179 * [taylor]: Taking taylor expansion of 0 in J 51.179 * [backup-simplify]: Simplify 0 into 0 51.179 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 51.180 * [backup-simplify]: Simplify (+ 0) into 0 51.180 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.181 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 51.181 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0 51.181 * [taylor]: Taking taylor expansion of 0 in J 51.181 * [backup-simplify]: Simplify 0 into 0 51.181 * [taylor]: Taking taylor expansion of 0 in J 51.181 * [backup-simplify]: Simplify 0 into 0 51.181 * [taylor]: Taking taylor expansion of 0 in J 51.181 * [backup-simplify]: Simplify 0 into 0 51.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 51.183 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.184 * [backup-simplify]: Simplify 0 into 0 51.184 * [backup-simplify]: Simplify 0 into 0 51.184 * [backup-simplify]: Simplify 1 into 1 51.184 * [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)) 51.184 * [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 51.184 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 51.184 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 51.184 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 51.184 * [taylor]: Taking taylor expansion of 1/4 in J 51.184 * [backup-simplify]: Simplify 1/4 into 1/4 51.184 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 51.185 * [taylor]: Taking taylor expansion of (pow J 2) in J 51.185 * [taylor]: Taking taylor expansion of J in J 51.185 * [backup-simplify]: Simplify 0 into 0 51.185 * [backup-simplify]: Simplify 1 into 1 51.185 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 51.185 * [taylor]: Taking taylor expansion of (pow U 2) in J 51.185 * [taylor]: Taking taylor expansion of U in J 51.185 * [backup-simplify]: Simplify U into U 51.185 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 51.185 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 51.185 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 51.185 * [taylor]: Taking taylor expansion of 1/2 in J 51.185 * [backup-simplify]: Simplify 1/2 into 1/2 51.185 * [taylor]: Taking taylor expansion of K in J 51.185 * [backup-simplify]: Simplify K into K 51.185 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 51.185 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.185 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 51.185 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 51.185 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 51.186 * [backup-simplify]: Simplify (- 0) into 0 51.186 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 51.186 * [backup-simplify]: Simplify (* 1 1) into 1 51.186 * [backup-simplify]: Simplify (* U U) into (pow U 2) 51.186 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 51.187 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 51.187 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 51.187 * [taylor]: Taking taylor expansion of 1 in J 51.187 * [backup-simplify]: Simplify 1 into 1 51.187 * [backup-simplify]: Simplify (+ 0 1) into 1 51.188 * [backup-simplify]: Simplify (sqrt 1) into 1 51.188 * [backup-simplify]: Simplify (+ 0 0) into 0 51.189 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 51.189 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 51.189 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 51.189 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 51.189 * [taylor]: Taking taylor expansion of 1/4 in K 51.189 * [backup-simplify]: Simplify 1/4 into 1/4 51.189 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 51.189 * [taylor]: Taking taylor expansion of (pow J 2) in K 51.189 * [taylor]: Taking taylor expansion of J in K 51.189 * [backup-simplify]: Simplify J into J 51.189 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 51.189 * [taylor]: Taking taylor expansion of (pow U 2) in K 51.189 * [taylor]: Taking taylor expansion of U in K 51.189 * [backup-simplify]: Simplify U into U 51.189 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 51.189 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 51.189 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 51.189 * [taylor]: Taking taylor expansion of 1/2 in K 51.189 * [backup-simplify]: Simplify 1/2 into 1/2 51.189 * [taylor]: Taking taylor expansion of K in K 51.189 * [backup-simplify]: Simplify 0 into 0 51.189 * [backup-simplify]: Simplify 1 into 1 51.190 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 51.190 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.190 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.190 * [backup-simplify]: Simplify (* U U) into (pow U 2) 51.190 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 51.190 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 51.191 * [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))) 51.191 * [taylor]: Taking taylor expansion of 1 in K 51.191 * [backup-simplify]: Simplify 1 into 1 51.191 * [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)))) 51.191 * [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) 51.192 * [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)) 51.192 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 51.192 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 51.192 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 51.192 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 51.192 * [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 51.193 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 51.193 * [backup-simplify]: Simplify (+ 0 0) into 0 51.193 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 51.193 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 51.193 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 51.193 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 51.193 * [taylor]: Taking taylor expansion of 1/4 in U 51.193 * [backup-simplify]: Simplify 1/4 into 1/4 51.193 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 51.193 * [taylor]: Taking taylor expansion of (pow J 2) in U 51.193 * [taylor]: Taking taylor expansion of J in U 51.193 * [backup-simplify]: Simplify J into J 51.193 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 51.194 * [taylor]: Taking taylor expansion of (pow U 2) in U 51.194 * [taylor]: Taking taylor expansion of U in U 51.194 * [backup-simplify]: Simplify 0 into 0 51.194 * [backup-simplify]: Simplify 1 into 1 51.194 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 51.194 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 51.194 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 51.194 * [taylor]: Taking taylor expansion of 1/2 in U 51.194 * [backup-simplify]: Simplify 1/2 into 1/2 51.194 * [taylor]: Taking taylor expansion of K in U 51.194 * [backup-simplify]: Simplify K into K 51.194 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 51.194 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.194 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 51.194 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 51.194 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 51.194 * [backup-simplify]: Simplify (- 0) into 0 51.194 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 51.194 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.195 * [backup-simplify]: Simplify (* 1 1) into 1 51.195 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 51.195 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 51.195 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 51.195 * [taylor]: Taking taylor expansion of 1 in U 51.195 * [backup-simplify]: Simplify 1 into 1 51.195 * [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))) 51.195 * [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))) 51.195 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 51.195 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 51.196 * [backup-simplify]: Simplify (+ 0) into 0 51.196 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 51.196 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 51.196 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.197 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 51.197 * [backup-simplify]: Simplify (- 0) into 0 51.197 * [backup-simplify]: Simplify (+ 0 0) into 0 51.197 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 51.198 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.198 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 51.198 * [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 51.199 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 51.199 * [backup-simplify]: Simplify (+ 0 0) into 0 51.199 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 51.199 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 51.199 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 51.199 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 51.199 * [taylor]: Taking taylor expansion of 1/4 in U 51.199 * [backup-simplify]: Simplify 1/4 into 1/4 51.199 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 51.199 * [taylor]: Taking taylor expansion of (pow J 2) in U 51.199 * [taylor]: Taking taylor expansion of J in U 51.199 * [backup-simplify]: Simplify J into J 51.199 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 51.199 * [taylor]: Taking taylor expansion of (pow U 2) in U 51.199 * [taylor]: Taking taylor expansion of U in U 51.199 * [backup-simplify]: Simplify 0 into 0 51.199 * [backup-simplify]: Simplify 1 into 1 51.199 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 51.199 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 51.199 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 51.199 * [taylor]: Taking taylor expansion of 1/2 in U 51.199 * [backup-simplify]: Simplify 1/2 into 1/2 51.199 * [taylor]: Taking taylor expansion of K in U 51.199 * [backup-simplify]: Simplify K into K 51.199 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 51.199 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.200 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 51.200 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 51.200 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 51.200 * [backup-simplify]: Simplify (- 0) into 0 51.200 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 51.200 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.200 * [backup-simplify]: Simplify (* 1 1) into 1 51.200 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 51.200 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 51.201 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 51.201 * [taylor]: Taking taylor expansion of 1 in U 51.201 * [backup-simplify]: Simplify 1 into 1 51.201 * [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))) 51.201 * [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))) 51.201 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 51.201 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 51.201 * [backup-simplify]: Simplify (+ 0) into 0 51.202 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 51.202 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 51.202 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.202 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 51.203 * [backup-simplify]: Simplify (- 0) into 0 51.203 * [backup-simplify]: Simplify (+ 0 0) into 0 51.203 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 51.203 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.204 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 51.204 * [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 51.204 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 51.205 * [backup-simplify]: Simplify (+ 0 0) into 0 51.205 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 51.205 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K 51.205 * [taylor]: Taking taylor expansion of 1/2 in K 51.205 * [backup-simplify]: Simplify 1/2 into 1/2 51.205 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K 51.205 * [taylor]: Taking taylor expansion of J in K 51.205 * [backup-simplify]: Simplify J into J 51.205 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 51.205 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 51.205 * [taylor]: Taking taylor expansion of 1/2 in K 51.205 * [backup-simplify]: Simplify 1/2 into 1/2 51.205 * [taylor]: Taking taylor expansion of K in K 51.205 * [backup-simplify]: Simplify 0 into 0 51.205 * [backup-simplify]: Simplify 1 into 1 51.205 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 51.205 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.206 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 51.206 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 51.206 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 51.206 * [taylor]: Taking taylor expansion of 1/2 in J 51.206 * [backup-simplify]: Simplify 1/2 into 1/2 51.206 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 51.206 * [taylor]: Taking taylor expansion of J in J 51.206 * [backup-simplify]: Simplify 0 into 0 51.206 * [backup-simplify]: Simplify 1 into 1 51.206 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 51.206 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 51.206 * [taylor]: Taking taylor expansion of 1/2 in J 51.206 * [backup-simplify]: Simplify 1/2 into 1/2 51.206 * [taylor]: Taking taylor expansion of K in J 51.206 * [backup-simplify]: Simplify K into K 51.206 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 51.206 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.206 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 51.206 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 51.206 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 51.206 * [backup-simplify]: Simplify (- 0) into 0 51.206 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 51.206 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 51.206 * [taylor]: Taking taylor expansion of 0 in K 51.206 * [backup-simplify]: Simplify 0 into 0 51.206 * [taylor]: Taking taylor expansion of 0 in J 51.206 * [backup-simplify]: Simplify 0 into 0 51.206 * [backup-simplify]: Simplify 0 into 0 51.207 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 51.207 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 51.207 * [taylor]: Taking taylor expansion of 0 in J 51.207 * [backup-simplify]: Simplify 0 into 0 51.207 * [backup-simplify]: Simplify 0 into 0 51.207 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 51.207 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 51.207 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 51.208 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 51.208 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 51.209 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 51.209 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 51.209 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 51.210 * [backup-simplify]: Simplify (- 0) into 0 51.210 * [backup-simplify]: Simplify (+ 0 0) into 0 51.210 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 51.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 51.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 51.212 * [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 51.212 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 51.212 * [backup-simplify]: Simplify (+ 0 1) into 1 51.213 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 51.213 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 51.213 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 51.213 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 51.213 * [taylor]: Taking taylor expansion of 1/2 in K 51.213 * [backup-simplify]: Simplify 1/2 into 1/2 51.213 * [taylor]: Taking taylor expansion of K in K 51.213 * [backup-simplify]: Simplify 0 into 0 51.213 * [backup-simplify]: Simplify 1 into 1 51.213 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 51.213 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.213 * [taylor]: Taking taylor expansion of J in K 51.213 * [backup-simplify]: Simplify J into J 51.214 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 51.214 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 51.214 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 51.214 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 51.214 * [taylor]: Taking taylor expansion of 1/2 in J 51.214 * [backup-simplify]: Simplify 1/2 into 1/2 51.214 * [taylor]: Taking taylor expansion of K in J 51.214 * [backup-simplify]: Simplify K into K 51.214 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 51.214 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.214 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 51.214 * [taylor]: Taking taylor expansion of J in J 51.214 * [backup-simplify]: Simplify 0 into 0 51.214 * [backup-simplify]: Simplify 1 into 1 51.214 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 51.214 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 51.214 * [backup-simplify]: Simplify (- 0) into 0 51.214 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 51.214 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 51.215 * [backup-simplify]: Simplify (+ 0) into 0 51.215 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 51.215 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 51.215 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.216 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 51.216 * [backup-simplify]: Simplify (- 0) into 0 51.216 * [backup-simplify]: Simplify (+ 0 0) into 0 51.217 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 51.217 * [backup-simplify]: Simplify 0 into 0 51.217 * [taylor]: Taking taylor expansion of 0 in J 51.217 * [backup-simplify]: Simplify 0 into 0 51.217 * [backup-simplify]: Simplify 0 into 0 51.217 * [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 51.218 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 51.218 * [taylor]: Taking taylor expansion of 0 in J 51.218 * [backup-simplify]: Simplify 0 into 0 51.218 * [backup-simplify]: Simplify 0 into 0 51.218 * [backup-simplify]: Simplify 0 into 0 51.218 * [backup-simplify]: Simplify 0 into 0 51.218 * [backup-simplify]: Simplify (+ 0) into 0 51.218 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 51.218 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 51.219 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.219 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 51.219 * [backup-simplify]: Simplify (- 0) into 0 51.220 * [backup-simplify]: Simplify (+ 0 0) into 0 51.220 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 51.220 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 51.220 * [backup-simplify]: Simplify 0 into 0 51.220 * [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))) 51.221 * [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)))))) 51.221 * [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 51.221 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 51.221 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 51.221 * [taylor]: Taking taylor expansion of 1 in J 51.221 * [backup-simplify]: Simplify 1 into 1 51.221 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 51.221 * [taylor]: Taking taylor expansion of 1/4 in J 51.221 * [backup-simplify]: Simplify 1/4 into 1/4 51.221 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 51.221 * [taylor]: Taking taylor expansion of (pow J 2) in J 51.221 * [taylor]: Taking taylor expansion of J in J 51.221 * [backup-simplify]: Simplify 0 into 0 51.221 * [backup-simplify]: Simplify 1 into 1 51.221 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 51.221 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 51.221 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 51.221 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 51.221 * [taylor]: Taking taylor expansion of -1/2 in J 51.221 * [backup-simplify]: Simplify -1/2 into -1/2 51.221 * [taylor]: Taking taylor expansion of K in J 51.221 * [backup-simplify]: Simplify K into K 51.221 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 51.221 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.221 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 51.221 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 51.221 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 51.222 * [backup-simplify]: Simplify (- 0) into 0 51.222 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 51.222 * [taylor]: Taking taylor expansion of (pow U 2) in J 51.222 * [taylor]: Taking taylor expansion of U in J 51.222 * [backup-simplify]: Simplify U into U 51.222 * [backup-simplify]: Simplify (* 1 1) into 1 51.222 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 51.222 * [backup-simplify]: Simplify (* U U) into (pow U 2) 51.222 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 51.222 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 51.223 * [backup-simplify]: Simplify (+ 1 0) into 1 51.223 * [backup-simplify]: Simplify (sqrt 1) into 1 51.223 * [backup-simplify]: Simplify (+ 0 0) into 0 51.223 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 51.223 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 51.223 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 51.224 * [taylor]: Taking taylor expansion of 1 in K 51.224 * [backup-simplify]: Simplify 1 into 1 51.224 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 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 J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 51.224 * [taylor]: Taking taylor expansion of (pow J 2) in K 51.224 * [taylor]: Taking taylor expansion of J in K 51.224 * [backup-simplify]: Simplify J into J 51.224 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 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 51.224 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 51.224 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 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 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.224 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 51.224 * [backup-simplify]: Simplify (* U U) into (pow U 2) 51.224 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 51.225 * [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))) 51.225 * [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)))) 51.225 * [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))))) 51.225 * [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)))))) 51.225 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 51.225 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 51.225 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 51.225 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 51.226 * [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 51.226 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 51.227 * [backup-simplify]: Simplify (+ 0 0) into 0 51.227 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 51.227 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 51.227 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 51.227 * [taylor]: Taking taylor expansion of 1 in U 51.227 * [backup-simplify]: Simplify 1 into 1 51.227 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 51.227 * [taylor]: Taking taylor expansion of 1/4 in U 51.227 * [backup-simplify]: Simplify 1/4 into 1/4 51.227 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 51.227 * [taylor]: Taking taylor expansion of (pow J 2) in U 51.227 * [taylor]: Taking taylor expansion of J in U 51.227 * [backup-simplify]: Simplify J into J 51.227 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 51.227 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 51.227 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 51.227 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 51.227 * [taylor]: Taking taylor expansion of -1/2 in U 51.227 * [backup-simplify]: Simplify -1/2 into -1/2 51.227 * [taylor]: Taking taylor expansion of K in U 51.227 * [backup-simplify]: Simplify K into K 51.227 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 51.227 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.227 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 51.227 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 51.227 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 51.228 * [backup-simplify]: Simplify (- 0) into 0 51.228 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 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 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.228 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 51.228 * [backup-simplify]: Simplify (* 1 1) into 1 51.228 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 51.228 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 51.228 * [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))) 51.229 * [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))) 51.229 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 51.229 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 51.229 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.229 * [backup-simplify]: Simplify (+ 0) into 0 51.230 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 51.230 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 51.230 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.231 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 51.231 * [backup-simplify]: Simplify (- 0) into 0 51.231 * [backup-simplify]: Simplify (+ 0 0) into 0 51.231 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 51.231 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 51.232 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 51.232 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 51.232 * [backup-simplify]: Simplify (+ 0 0) into 0 51.233 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 51.233 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 51.233 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 51.233 * [taylor]: Taking taylor expansion of 1 in U 51.233 * [backup-simplify]: Simplify 1 into 1 51.233 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 51.233 * [taylor]: Taking taylor expansion of 1/4 in U 51.233 * [backup-simplify]: Simplify 1/4 into 1/4 51.233 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 51.233 * [taylor]: Taking taylor expansion of (pow J 2) in U 51.233 * [taylor]: Taking taylor expansion of J in U 51.233 * [backup-simplify]: Simplify J into J 51.233 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 51.233 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 51.233 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 51.233 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 51.233 * [taylor]: Taking taylor expansion of -1/2 in U 51.233 * [backup-simplify]: Simplify -1/2 into -1/2 51.233 * [taylor]: Taking taylor expansion of K in U 51.233 * [backup-simplify]: Simplify K into K 51.233 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 51.233 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.233 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 51.233 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 51.233 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 51.233 * [backup-simplify]: Simplify (- 0) into 0 51.233 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 51.233 * [taylor]: Taking taylor expansion of (pow U 2) in U 51.233 * [taylor]: Taking taylor expansion of U in U 51.233 * [backup-simplify]: Simplify 0 into 0 51.233 * [backup-simplify]: Simplify 1 into 1 51.234 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.234 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 51.234 * [backup-simplify]: Simplify (* 1 1) into 1 51.234 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 51.234 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 51.234 * [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))) 51.234 * [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))) 51.234 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 51.235 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 51.235 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.235 * [backup-simplify]: Simplify (+ 0) into 0 51.236 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 51.236 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 51.236 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.236 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 51.237 * [backup-simplify]: Simplify (- 0) into 0 51.237 * [backup-simplify]: Simplify (+ 0 0) into 0 51.237 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 51.237 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 51.238 * [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 51.238 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 51.238 * [backup-simplify]: Simplify (+ 0 0) into 0 51.239 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 51.239 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K 51.239 * [taylor]: Taking taylor expansion of 1/2 in K 51.239 * [backup-simplify]: Simplify 1/2 into 1/2 51.239 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K 51.239 * [taylor]: Taking taylor expansion of J in K 51.239 * [backup-simplify]: Simplify J into J 51.239 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 51.239 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 51.239 * [taylor]: Taking taylor expansion of -1/2 in K 51.239 * [backup-simplify]: Simplify -1/2 into -1/2 51.239 * [taylor]: Taking taylor expansion of K in K 51.239 * [backup-simplify]: Simplify 0 into 0 51.239 * [backup-simplify]: Simplify 1 into 1 51.239 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 51.239 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.239 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 51.239 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 51.239 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 51.239 * [taylor]: Taking taylor expansion of 1/2 in J 51.239 * [backup-simplify]: Simplify 1/2 into 1/2 51.239 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 51.239 * [taylor]: Taking taylor expansion of J in J 51.239 * [backup-simplify]: Simplify 0 into 0 51.239 * [backup-simplify]: Simplify 1 into 1 51.239 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 51.239 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 51.240 * [taylor]: Taking taylor expansion of -1/2 in J 51.240 * [backup-simplify]: Simplify -1/2 into -1/2 51.240 * [taylor]: Taking taylor expansion of K in J 51.240 * [backup-simplify]: Simplify K into K 51.240 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 51.240 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.240 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 51.240 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 51.240 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 51.240 * [backup-simplify]: Simplify (- 0) into 0 51.240 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 51.240 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 51.240 * [taylor]: Taking taylor expansion of 0 in K 51.240 * [backup-simplify]: Simplify 0 into 0 51.240 * [taylor]: Taking taylor expansion of 0 in J 51.240 * [backup-simplify]: Simplify 0 into 0 51.240 * [backup-simplify]: Simplify 0 into 0 51.240 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 51.241 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) 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 (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 51.241 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 51.241 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 51.242 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 51.242 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 51.243 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 51.243 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 51.244 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 51.244 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 51.245 * [backup-simplify]: Simplify (- 0) into 0 51.245 * [backup-simplify]: Simplify (+ 0 0) into 0 51.246 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 51.246 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 51.247 * [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 51.248 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 51.249 * [backup-simplify]: Simplify (+ 1 0) into 1 51.250 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 51.250 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 51.250 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 51.250 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 51.250 * [taylor]: Taking taylor expansion of -1/2 in K 51.250 * [backup-simplify]: Simplify -1/2 into -1/2 51.250 * [taylor]: Taking taylor expansion of K in K 51.250 * [backup-simplify]: Simplify 0 into 0 51.250 * [backup-simplify]: Simplify 1 into 1 51.250 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 51.250 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.250 * [taylor]: Taking taylor expansion of J in K 51.250 * [backup-simplify]: Simplify J into J 51.250 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 51.250 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 51.251 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 51.251 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 51.251 * [taylor]: Taking taylor expansion of -1/2 in J 51.251 * [backup-simplify]: Simplify -1/2 into -1/2 51.251 * [taylor]: Taking taylor expansion of K in J 51.251 * [backup-simplify]: Simplify K into K 51.251 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 51.251 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.251 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 51.251 * [taylor]: Taking taylor expansion of J in J 51.251 * [backup-simplify]: Simplify 0 into 0 51.251 * [backup-simplify]: Simplify 1 into 1 51.251 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 51.251 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 51.251 * [backup-simplify]: Simplify (- 0) into 0 51.252 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 51.252 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 51.252 * [backup-simplify]: Simplify (+ 0) into 0 51.253 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 51.253 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 51.254 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.254 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 51.254 * [backup-simplify]: Simplify (- 0) into 0 51.255 * [backup-simplify]: Simplify (+ 0 0) into 0 51.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 51.256 * [backup-simplify]: Simplify 0 into 0 51.256 * [taylor]: Taking taylor expansion of 0 in J 51.256 * [backup-simplify]: Simplify 0 into 0 51.256 * [backup-simplify]: Simplify 0 into 0 51.256 * [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 51.257 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 51.257 * [taylor]: Taking taylor expansion of 0 in J 51.257 * [backup-simplify]: Simplify 0 into 0 51.257 * [backup-simplify]: Simplify 0 into 0 51.257 * [backup-simplify]: Simplify 0 into 0 51.257 * [backup-simplify]: Simplify 0 into 0 51.258 * [backup-simplify]: Simplify (+ 0) into 0 51.258 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 51.258 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 51.259 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.260 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 51.260 * [backup-simplify]: Simplify (- 0) into 0 51.260 * [backup-simplify]: Simplify (+ 0 0) into 0 51.261 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 51.261 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 51.261 * [backup-simplify]: Simplify 0 into 0 51.262 * [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))) 51.262 * * * * [progress]: [ 2 / 4 ] generating series at (2) 51.262 * [backup-simplify]: Simplify (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (* 1/2 K)) J)) into (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) 51.262 * [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 51.262 * [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 51.262 * [taylor]: Taking taylor expansion of -2 in J 51.262 * [backup-simplify]: Simplify -2 into -2 51.262 * [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 51.263 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 51.263 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 51.263 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 51.263 * [taylor]: Taking taylor expansion of 1/2 in J 51.263 * [backup-simplify]: Simplify 1/2 into 1/2 51.263 * [taylor]: Taking taylor expansion of K in J 51.263 * [backup-simplify]: Simplify K into K 51.263 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 51.263 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 51.263 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 51.263 * [taylor]: Taking taylor expansion of J in J 51.263 * [backup-simplify]: Simplify 0 into 0 51.263 * [backup-simplify]: Simplify 1 into 1 51.263 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 51.263 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 51.263 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 51.263 * [taylor]: Taking taylor expansion of 1/4 in J 51.263 * [backup-simplify]: Simplify 1/4 into 1/4 51.263 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 51.263 * [taylor]: Taking taylor expansion of (pow U 2) in J 51.263 * [taylor]: Taking taylor expansion of U in J 51.263 * [backup-simplify]: Simplify U into U 51.263 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 51.263 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 51.263 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 51.263 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 51.263 * [taylor]: Taking taylor expansion of 1/2 in J 51.263 * [backup-simplify]: Simplify 1/2 into 1/2 51.263 * [taylor]: Taking taylor expansion of K in J 51.263 * [backup-simplify]: Simplify K into K 51.263 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 51.263 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 51.264 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 51.264 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 51.264 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 51.264 * [backup-simplify]: Simplify (- 0) into 0 51.264 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 51.264 * [taylor]: Taking taylor expansion of (pow J 2) in J 51.264 * [taylor]: Taking taylor expansion of J in J 51.264 * [backup-simplify]: Simplify 0 into 0 51.264 * [backup-simplify]: Simplify 1 into 1 51.264 * [backup-simplify]: Simplify (* U U) into (pow U 2) 51.265 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 51.265 * [backup-simplify]: Simplify (* 1 1) into 1 51.265 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 51.265 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 51.265 * [taylor]: Taking taylor expansion of 1 in J 51.265 * [backup-simplify]: Simplify 1 into 1 51.266 * [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))) 51.266 * [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))) 51.266 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 51.266 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 51.267 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.267 * [backup-simplify]: Simplify (+ 0) into 0 51.268 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 51.269 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 51.269 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.270 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 51.270 * [backup-simplify]: Simplify (- 0) into 0 51.270 * [backup-simplify]: Simplify (+ 0 0) into 0 51.271 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 51.271 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 51.272 * [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 51.272 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 51.273 * [backup-simplify]: Simplify (+ 0 0) into 0 51.273 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 51.273 * [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 51.273 * [taylor]: Taking taylor expansion of -2 in K 51.273 * [backup-simplify]: Simplify -2 into -2 51.273 * [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 51.273 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 51.273 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 51.273 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 51.273 * [taylor]: Taking taylor expansion of 1/2 in K 51.273 * [backup-simplify]: Simplify 1/2 into 1/2 51.273 * [taylor]: Taking taylor expansion of K in K 51.273 * [backup-simplify]: Simplify 0 into 0 51.273 * [backup-simplify]: Simplify 1 into 1 51.274 * [backup-simplify]: Simplify (* 1/2 0) into 0 51.274 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 51.274 * [taylor]: Taking taylor expansion of J in K 51.274 * [backup-simplify]: Simplify J into J 51.274 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 51.275 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 51.275 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 51.275 * [taylor]: Taking taylor expansion of 1/4 in K 51.275 * [backup-simplify]: Simplify 1/4 into 1/4 51.275 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 51.275 * [taylor]: Taking taylor expansion of (pow U 2) in K 51.275 * [taylor]: Taking taylor expansion of U in K 51.275 * [backup-simplify]: Simplify U into U 51.275 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 51.275 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 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 0) into 0 51.276 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 51.276 * [taylor]: Taking taylor expansion of (pow J 2) in K 51.276 * [taylor]: Taking taylor expansion of J in K 51.276 * [backup-simplify]: Simplify J into J 51.276 * [backup-simplify]: Simplify (* U U) into (pow U 2) 51.277 * [backup-simplify]: Simplify (* 1 1) into 1 51.277 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.277 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 51.277 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 51.277 * [taylor]: Taking taylor expansion of 1 in K 51.277 * [backup-simplify]: Simplify 1 into 1 51.277 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 51.277 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 51.278 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 51.278 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 51.278 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 51.279 * [backup-simplify]: Simplify (+ 0) into 0 51.279 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.280 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 51.280 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 51.281 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 51.281 * [backup-simplify]: Simplify (+ 0 0) into 0 51.281 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 51.281 * [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 51.281 * [taylor]: Taking taylor expansion of -2 in U 51.281 * [backup-simplify]: Simplify -2 into -2 51.281 * [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 51.281 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 51.282 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 51.282 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 51.282 * [taylor]: Taking taylor expansion of 1/2 in U 51.282 * [backup-simplify]: Simplify 1/2 into 1/2 51.282 * [taylor]: Taking taylor expansion of K in U 51.282 * [backup-simplify]: Simplify K into K 51.282 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 51.282 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 51.282 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 51.282 * [taylor]: Taking taylor expansion of J in U 51.282 * [backup-simplify]: Simplify J into J 51.282 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 51.282 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 51.282 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 51.282 * [taylor]: Taking taylor expansion of 1/4 in U 51.282 * [backup-simplify]: Simplify 1/4 into 1/4 51.282 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 51.282 * [taylor]: Taking taylor expansion of (pow U 2) in U 51.282 * [taylor]: Taking taylor expansion of U in U 51.282 * [backup-simplify]: Simplify 0 into 0 51.282 * [backup-simplify]: Simplify 1 into 1 51.282 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 51.282 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 51.282 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 51.282 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 51.282 * [taylor]: Taking taylor expansion of 1/2 in U 51.282 * [backup-simplify]: Simplify 1/2 into 1/2 51.282 * [taylor]: Taking taylor expansion of K in U 51.282 * [backup-simplify]: Simplify K into K 51.282 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 51.283 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 51.283 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 51.283 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 51.283 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 51.283 * [backup-simplify]: Simplify (- 0) into 0 51.283 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 51.283 * [taylor]: Taking taylor expansion of (pow J 2) in U 51.283 * [taylor]: Taking taylor expansion of J in U 51.283 * [backup-simplify]: Simplify J into J 51.284 * [backup-simplify]: Simplify (* 1 1) into 1 51.284 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 51.284 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.284 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 51.284 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 51.284 * [taylor]: Taking taylor expansion of 1 in U 51.284 * [backup-simplify]: Simplify 1 into 1 51.285 * [backup-simplify]: Simplify (+ 0 1) into 1 51.285 * [backup-simplify]: Simplify (sqrt 1) into 1 51.286 * [backup-simplify]: Simplify (+ 0 0) into 0 51.286 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 51.286 * [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 51.286 * [taylor]: Taking taylor expansion of -2 in U 51.286 * [backup-simplify]: Simplify -2 into -2 51.286 * [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 51.287 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 51.287 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 51.287 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 51.287 * [taylor]: Taking taylor expansion of 1/2 in U 51.287 * [backup-simplify]: Simplify 1/2 into 1/2 51.287 * [taylor]: Taking taylor expansion of K in U 51.287 * [backup-simplify]: Simplify K into K 51.287 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 51.287 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 51.287 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 51.287 * [taylor]: Taking taylor expansion of J in U 51.287 * [backup-simplify]: Simplify J into J 51.287 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 51.287 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 51.287 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 51.287 * [taylor]: Taking taylor expansion of 1/4 in U 51.287 * [backup-simplify]: Simplify 1/4 into 1/4 51.287 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 51.287 * [taylor]: Taking taylor expansion of (pow U 2) in U 51.287 * [taylor]: Taking taylor expansion of U in U 51.287 * [backup-simplify]: Simplify 0 into 0 51.287 * [backup-simplify]: Simplify 1 into 1 51.287 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 51.287 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 51.287 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 51.287 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 51.287 * [taylor]: Taking taylor expansion of 1/2 in U 51.287 * [backup-simplify]: Simplify 1/2 into 1/2 51.287 * [taylor]: Taking taylor expansion of K in U 51.287 * [backup-simplify]: Simplify K into K 51.287 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 51.287 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 51.288 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 51.288 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 51.288 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 51.292 * [backup-simplify]: Simplify (- 0) into 0 51.292 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 51.292 * [taylor]: Taking taylor expansion of (pow J 2) in U 51.292 * [taylor]: Taking taylor expansion of J in U 51.292 * [backup-simplify]: Simplify J into J 51.293 * [backup-simplify]: Simplify (* 1 1) into 1 51.293 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 51.293 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.294 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 51.294 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 51.294 * [taylor]: Taking taylor expansion of 1 in U 51.294 * [backup-simplify]: Simplify 1 into 1 51.294 * [backup-simplify]: Simplify (+ 0 1) into 1 51.295 * [backup-simplify]: Simplify (sqrt 1) into 1 51.295 * [backup-simplify]: Simplify (+ 0 0) into 0 51.296 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 51.296 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 51.296 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 51.296 * [backup-simplify]: Simplify (- 0) into 0 51.297 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 51.297 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 51.297 * [backup-simplify]: Simplify (* (* (cos (* 1/2 K)) J) 1) into (* (cos (* 1/2 K)) J) 51.297 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J)) 51.297 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in K 51.297 * [taylor]: Taking taylor expansion of -2 in K 51.297 * [backup-simplify]: Simplify -2 into -2 51.297 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 51.297 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 51.297 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 51.297 * [taylor]: Taking taylor expansion of 1/2 in K 51.297 * [backup-simplify]: Simplify 1/2 into 1/2 51.297 * [taylor]: Taking taylor expansion of K in K 51.297 * [backup-simplify]: Simplify 0 into 0 51.297 * [backup-simplify]: Simplify 1 into 1 51.298 * [backup-simplify]: Simplify (* 1/2 0) into 0 51.298 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 51.298 * [taylor]: Taking taylor expansion of J in K 51.298 * [backup-simplify]: Simplify J into J 51.298 * [backup-simplify]: Simplify (* 1 J) into J 51.299 * [backup-simplify]: Simplify (* -2 J) into (* -2 J) 51.299 * [taylor]: Taking taylor expansion of (* -2 J) in J 51.299 * [taylor]: Taking taylor expansion of -2 in J 51.299 * [backup-simplify]: Simplify -2 into -2 51.299 * [taylor]: Taking taylor expansion of J in J 51.299 * [backup-simplify]: Simplify 0 into 0 51.299 * [backup-simplify]: Simplify 1 into 1 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 (+ (* 1/2 0) (* 0 K)) into 0 51.301 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.301 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 51.302 * [backup-simplify]: Simplify (- 0) into 0 51.302 * [backup-simplify]: Simplify (+ 0 0) into 0 51.302 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 51.303 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (* 0 1)) into 0 51.303 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0 51.303 * [taylor]: Taking taylor expansion of 0 in K 51.303 * [backup-simplify]: Simplify 0 into 0 51.303 * [taylor]: Taking taylor expansion of 0 in J 51.303 * [backup-simplify]: Simplify 0 into 0 51.304 * [backup-simplify]: Simplify (+ 0) into 0 51.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 51.305 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 J)) into 0 51.305 * [taylor]: Taking taylor expansion of 0 in J 51.305 * [backup-simplify]: Simplify 0 into 0 51.305 * [backup-simplify]: Simplify (* -2 0) into 0 51.305 * [backup-simplify]: Simplify 0 into 0 51.306 * [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))) 51.306 * [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)))) 51.307 * [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))) 51.308 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 51.309 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 51.310 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 51.311 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 51.311 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 51.311 * [backup-simplify]: Simplify (- 0) into 0 51.312 * [backup-simplify]: Simplify (+ 0 0) into 0 51.312 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0 51.313 * [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))) 51.314 * [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)))) 51.314 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in K 51.314 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in K 51.314 * [taylor]: Taking taylor expansion of 1/4 in K 51.314 * [backup-simplify]: Simplify 1/4 into 1/4 51.314 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in K 51.314 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 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 51.315 * [backup-simplify]: Simplify (* 1/2 0) into 0 51.315 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 51.315 * [taylor]: Taking taylor expansion of J in K 51.315 * [backup-simplify]: Simplify J into J 51.316 * [backup-simplify]: Simplify (* 1 J) into J 51.316 * [backup-simplify]: Simplify (/ 1 J) into (/ 1 J) 51.316 * [backup-simplify]: Simplify (* 1/4 (/ 1 J)) into (/ 1/4 J) 51.316 * [backup-simplify]: Simplify (- (/ 1/4 J)) into (- (* 1/4 (/ 1 J))) 51.316 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 J))) in J 51.316 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 J)) in J 51.316 * [taylor]: Taking taylor expansion of 1/4 in J 51.316 * [backup-simplify]: Simplify 1/4 into 1/4 51.316 * [taylor]: Taking taylor expansion of (/ 1 J) in J 51.316 * [taylor]: Taking taylor expansion of J in J 51.316 * [backup-simplify]: Simplify 0 into 0 51.316 * [backup-simplify]: Simplify 1 into 1 51.316 * [backup-simplify]: Simplify (/ 1 1) into 1 51.317 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 51.317 * [backup-simplify]: Simplify (- 1/4) into -1/4 51.317 * [backup-simplify]: Simplify -1/4 into -1/4 51.317 * [taylor]: Taking taylor expansion of 0 in J 51.317 * [backup-simplify]: Simplify 0 into 0 51.318 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 51.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J)) 51.320 * [backup-simplify]: Simplify (+ (* -2 (- (* 1/8 J))) (+ (* 0 0) (* 0 J))) into (* 1/4 J) 51.320 * [taylor]: Taking taylor expansion of (* 1/4 J) in J 51.320 * [taylor]: Taking taylor expansion of 1/4 in J 51.320 * [backup-simplify]: Simplify 1/4 into 1/4 51.320 * [taylor]: Taking taylor expansion of J in J 51.320 * [backup-simplify]: Simplify 0 into 0 51.320 * [backup-simplify]: Simplify 1 into 1 51.320 * [backup-simplify]: Simplify 0 into 0 51.320 * [backup-simplify]: Simplify 0 into 0 51.321 * [backup-simplify]: Simplify (+ (* -2 1) (* 0 0)) into -2 51.321 * [backup-simplify]: Simplify -2 into -2 51.321 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.321 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 51.322 * [backup-simplify]: Simplify (+ 0) into 0 51.322 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 51.323 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 51.324 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.324 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 51.324 * [backup-simplify]: Simplify (- 0) into 0 51.325 * [backup-simplify]: Simplify (+ 0 0) into 0 51.325 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 51.325 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 51.326 * [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 51.326 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 51.327 * [backup-simplify]: Simplify (+ 0 0) into 0 51.327 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 51.328 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 51.329 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 51.330 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 51.332 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 51.333 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 51.333 * [backup-simplify]: Simplify (- 0) into 0 51.333 * [backup-simplify]: Simplify (+ 0 0) into 0 51.334 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 51.335 * [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 51.336 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0 51.336 * [taylor]: Taking taylor expansion of 0 in K 51.336 * [backup-simplify]: Simplify 0 into 0 51.336 * [taylor]: Taking taylor expansion of 0 in J 51.336 * [backup-simplify]: Simplify 0 into 0 51.337 * [backup-simplify]: Simplify (+ 0) into 0 51.337 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 51.337 * [backup-simplify]: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 51.338 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 J))) into 0 51.338 * [backup-simplify]: Simplify (- 0) into 0 51.338 * [taylor]: Taking taylor expansion of 0 in J 51.338 * [backup-simplify]: Simplify 0 into 0 51.338 * [taylor]: Taking taylor expansion of 0 in J 51.338 * [backup-simplify]: Simplify 0 into 0 51.339 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 51.341 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 51.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0 51.343 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (- (* 1/8 J))) (+ (* 0 0) (* 0 J)))) into 0 51.343 * [taylor]: Taking taylor expansion of 0 in J 51.343 * [backup-simplify]: Simplify 0 into 0 51.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 51.345 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 51.345 * [backup-simplify]: Simplify (- 0) into 0 51.345 * [backup-simplify]: Simplify 0 into 0 51.345 * [backup-simplify]: Simplify 0 into 0 51.346 * [backup-simplify]: Simplify (* 1/4 0) into 0 51.346 * [backup-simplify]: Simplify 0 into 0 51.346 * [backup-simplify]: Simplify 0 into 0 51.346 * [backup-simplify]: Simplify 0 into 0 51.347 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0 51.347 * [backup-simplify]: Simplify 0 into 0 51.348 * [backup-simplify]: Simplify (+ (* -2 (* J (* 1 1))) (* -1/4 (* (/ 1 J) (* 1 (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 51.348 * [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 (* 1/2 (/ 1 K))) (/ 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))) 51.349 * [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 51.349 * [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 51.349 * [taylor]: Taking taylor expansion of -2 in J 51.349 * [backup-simplify]: Simplify -2 into -2 51.349 * [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 51.349 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 51.349 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 51.349 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 51.349 * [taylor]: Taking taylor expansion of 1/4 in J 51.349 * [backup-simplify]: Simplify 1/4 into 1/4 51.349 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 51.349 * [taylor]: Taking taylor expansion of (pow J 2) in J 51.349 * [taylor]: Taking taylor expansion of J in J 51.349 * [backup-simplify]: Simplify 0 into 0 51.349 * [backup-simplify]: Simplify 1 into 1 51.349 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 51.349 * [taylor]: Taking taylor expansion of (pow U 2) in J 51.349 * [taylor]: Taking taylor expansion of U in J 51.349 * [backup-simplify]: Simplify U into U 51.349 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 51.349 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 51.349 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 51.349 * [taylor]: Taking taylor expansion of 1/2 in J 51.349 * [backup-simplify]: Simplify 1/2 into 1/2 51.349 * [taylor]: Taking taylor expansion of K in J 51.349 * [backup-simplify]: Simplify K into K 51.349 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 51.349 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.349 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 51.350 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 51.350 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 51.350 * [backup-simplify]: Simplify (- 0) into 0 51.350 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 51.351 * [backup-simplify]: Simplify (* 1 1) into 1 51.351 * [backup-simplify]: Simplify (* U U) into (pow U 2) 51.351 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 51.351 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 51.351 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 51.351 * [taylor]: Taking taylor expansion of 1 in J 51.351 * [backup-simplify]: Simplify 1 into 1 51.352 * [backup-simplify]: Simplify (+ 0 1) into 1 51.352 * [backup-simplify]: Simplify (sqrt 1) into 1 51.353 * [backup-simplify]: Simplify (+ 0 0) into 0 51.353 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 51.353 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 51.353 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 51.354 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 51.354 * [taylor]: Taking taylor expansion of 1/2 in J 51.354 * [backup-simplify]: Simplify 1/2 into 1/2 51.354 * [taylor]: Taking taylor expansion of K in J 51.354 * [backup-simplify]: Simplify K into K 51.354 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 51.354 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.354 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 51.354 * [taylor]: Taking taylor expansion of J in J 51.354 * [backup-simplify]: Simplify 0 into 0 51.354 * [backup-simplify]: Simplify 1 into 1 51.354 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 51.354 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 51.355 * [backup-simplify]: Simplify (- 0) into 0 51.355 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 51.355 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 51.355 * [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 51.355 * [taylor]: Taking taylor expansion of -2 in K 51.355 * [backup-simplify]: Simplify -2 into -2 51.355 * [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 51.355 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 51.355 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 51.355 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 51.355 * [taylor]: Taking taylor expansion of 1/4 in K 51.355 * [backup-simplify]: Simplify 1/4 into 1/4 51.355 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 51.355 * [taylor]: Taking taylor expansion of (pow J 2) in K 51.355 * [taylor]: Taking taylor expansion of J in K 51.355 * [backup-simplify]: Simplify J into J 51.355 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 51.355 * [taylor]: Taking taylor expansion of (pow U 2) in K 51.355 * [taylor]: Taking taylor expansion of U in K 51.355 * [backup-simplify]: Simplify U into U 51.355 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 51.355 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 51.355 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 51.355 * [taylor]: Taking taylor expansion of 1/2 in K 51.355 * [backup-simplify]: Simplify 1/2 into 1/2 51.355 * [taylor]: Taking taylor expansion of K in K 51.355 * [backup-simplify]: Simplify 0 into 0 51.355 * [backup-simplify]: Simplify 1 into 1 51.356 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 51.356 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.356 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.356 * [backup-simplify]: Simplify (* U U) into (pow U 2) 51.356 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 51.357 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 51.357 * [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))) 51.357 * [taylor]: Taking taylor expansion of 1 in K 51.357 * [backup-simplify]: Simplify 1 into 1 51.357 * [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)))) 51.358 * [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) 51.358 * [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)) 51.358 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 51.358 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 51.358 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 51.359 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 51.359 * [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 51.360 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 51.360 * [backup-simplify]: Simplify (+ 0 0) into 0 51.361 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 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 1) into 1/2 51.362 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.362 * [taylor]: Taking taylor expansion of J in K 51.362 * [backup-simplify]: Simplify J into J 51.362 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 51.362 * [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 51.362 * [taylor]: Taking taylor expansion of -2 in U 51.362 * [backup-simplify]: Simplify -2 into -2 51.362 * [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 51.362 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 51.362 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 51.362 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 51.362 * [taylor]: Taking taylor expansion of 1/4 in U 51.362 * [backup-simplify]: Simplify 1/4 into 1/4 51.362 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 51.362 * [taylor]: Taking taylor expansion of (pow J 2) in U 51.362 * [taylor]: Taking taylor expansion of J in U 51.362 * [backup-simplify]: Simplify J into J 51.362 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 51.362 * [taylor]: Taking taylor expansion of (pow U 2) in U 51.362 * [taylor]: Taking taylor expansion of U in U 51.362 * [backup-simplify]: Simplify 0 into 0 51.362 * [backup-simplify]: Simplify 1 into 1 51.362 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 51.362 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 51.362 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 51.362 * [taylor]: Taking taylor expansion of 1/2 in U 51.363 * [backup-simplify]: Simplify 1/2 into 1/2 51.363 * [taylor]: Taking taylor expansion of K in U 51.363 * [backup-simplify]: Simplify K into K 51.363 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 51.363 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.363 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 51.363 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 51.363 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 51.363 * [backup-simplify]: Simplify (- 0) into 0 51.363 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 51.364 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.364 * [backup-simplify]: Simplify (* 1 1) into 1 51.364 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 51.364 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 51.364 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 51.364 * [taylor]: Taking taylor expansion of 1 in U 51.364 * [backup-simplify]: Simplify 1 into 1 51.365 * [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))) 51.365 * [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))) 51.365 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 51.365 * [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 (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 51.367 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.368 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 51.368 * [backup-simplify]: Simplify (- 0) into 0 51.368 * [backup-simplify]: Simplify (+ 0 0) into 0 51.369 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 51.369 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.370 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 51.370 * [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 51.371 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 51.371 * [backup-simplify]: Simplify (+ 0 0) into 0 51.372 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 51.372 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 51.372 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 51.372 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 51.372 * [taylor]: Taking taylor expansion of 1/2 in U 51.372 * [backup-simplify]: Simplify 1/2 into 1/2 51.372 * [taylor]: Taking taylor expansion of K in U 51.372 * [backup-simplify]: Simplify K into K 51.372 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 51.372 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.372 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 51.372 * [taylor]: Taking taylor expansion of J in U 51.372 * [backup-simplify]: Simplify J into J 51.372 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 51.372 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 51.373 * [backup-simplify]: Simplify (- 0) into 0 51.373 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 51.373 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 51.373 * [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 51.373 * [taylor]: Taking taylor expansion of -2 in U 51.373 * [backup-simplify]: Simplify -2 into -2 51.373 * [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 51.373 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 51.373 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 51.373 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 51.373 * [taylor]: Taking taylor expansion of 1/4 in U 51.373 * [backup-simplify]: Simplify 1/4 into 1/4 51.373 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 51.373 * [taylor]: Taking taylor expansion of (pow J 2) in U 51.373 * [taylor]: Taking taylor expansion of J in U 51.373 * [backup-simplify]: Simplify J into J 51.373 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 51.373 * [taylor]: Taking taylor expansion of (pow U 2) in U 51.373 * [taylor]: Taking taylor expansion of U in U 51.373 * [backup-simplify]: Simplify 0 into 0 51.373 * [backup-simplify]: Simplify 1 into 1 51.373 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 51.373 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 51.374 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 51.374 * [taylor]: Taking taylor expansion of 1/2 in U 51.374 * [backup-simplify]: Simplify 1/2 into 1/2 51.374 * [taylor]: Taking taylor expansion of K in U 51.374 * [backup-simplify]: Simplify K into K 51.374 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 51.374 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.374 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 51.374 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 51.374 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 51.374 * [backup-simplify]: Simplify (- 0) into 0 51.374 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 51.375 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.375 * [backup-simplify]: Simplify (* 1 1) into 1 51.375 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 51.375 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 51.375 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 51.375 * [taylor]: Taking taylor expansion of 1 in U 51.375 * [backup-simplify]: Simplify 1 into 1 51.376 * [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))) 51.376 * [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))) 51.376 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 51.376 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 51.377 * [backup-simplify]: Simplify (+ 0) into 0 51.377 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 51.377 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 51.378 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.379 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 51.379 * [backup-simplify]: Simplify (- 0) into 0 51.379 * [backup-simplify]: Simplify (+ 0 0) into 0 51.380 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 51.380 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.381 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 51.381 * [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 51.382 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 51.382 * [backup-simplify]: Simplify (+ 0 0) into 0 51.383 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 51.383 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 51.383 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 51.383 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 51.383 * [taylor]: Taking taylor expansion of 1/2 in U 51.383 * [backup-simplify]: Simplify 1/2 into 1/2 51.383 * [taylor]: Taking taylor expansion of K in U 51.383 * [backup-simplify]: Simplify K into K 51.383 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 51.383 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.383 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 51.383 * [taylor]: Taking taylor expansion of J in U 51.383 * [backup-simplify]: Simplify J into J 51.383 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 51.383 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 51.384 * [backup-simplify]: Simplify (- 0) into 0 51.384 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 51.384 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 51.384 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ (cos (/ 1/2 K)) J)) into 1/2 51.384 * [backup-simplify]: Simplify (* -2 1/2) into -1 51.384 * [taylor]: Taking taylor expansion of -1 in K 51.385 * [backup-simplify]: Simplify -1 into -1 51.385 * [taylor]: Taking taylor expansion of -1 in J 51.385 * [backup-simplify]: Simplify -1 into -1 51.385 * [backup-simplify]: Simplify (+ 0) into 0 51.385 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 51.386 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 51.386 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.387 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 51.387 * [backup-simplify]: Simplify (- 0) into 0 51.388 * [backup-simplify]: Simplify (+ 0 0) into 0 51.388 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 51.388 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (/ (cos (/ 1/2 K)) J))) into 0 51.389 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0 51.389 * [taylor]: Taking taylor expansion of 0 in K 51.389 * [backup-simplify]: Simplify 0 into 0 51.389 * [taylor]: Taking taylor expansion of 0 in J 51.389 * [backup-simplify]: Simplify 0 into 0 51.389 * [taylor]: Taking taylor expansion of 0 in J 51.389 * [backup-simplify]: Simplify 0 into 0 51.389 * [backup-simplify]: Simplify -1 into -1 51.390 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 51.391 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 51.391 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 51.392 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 51.392 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 51.393 * [backup-simplify]: Simplify (- 0) into 0 51.393 * [backup-simplify]: Simplify (+ 0 0) into 0 51.393 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 51.394 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 51.395 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 51.395 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 51.396 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 51.396 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 51.397 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 51.397 * [backup-simplify]: Simplify (- 0) into 0 51.398 * [backup-simplify]: Simplify (+ 0 0) into 0 51.398 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 51.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 51.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 51.400 * [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 51.401 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 51.401 * [backup-simplify]: Simplify (+ 0 1) into 1 51.402 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 51.402 * [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)) 51.403 * [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)))) 51.403 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in K 51.403 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in K 51.403 * [taylor]: Taking taylor expansion of 2 in K 51.403 * [backup-simplify]: Simplify 2 into 2 51.403 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in K 51.403 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 51.403 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 51.403 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 51.403 * [taylor]: Taking taylor expansion of 1/2 in K 51.403 * [backup-simplify]: Simplify 1/2 into 1/2 51.403 * [taylor]: Taking taylor expansion of K in K 51.403 * [backup-simplify]: Simplify 0 into 0 51.403 * [backup-simplify]: Simplify 1 into 1 51.403 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 51.403 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.403 * [taylor]: Taking taylor expansion of (pow J 2) in K 51.403 * [taylor]: Taking taylor expansion of J in K 51.403 * [backup-simplify]: Simplify J into J 51.403 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 51.403 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.403 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 51.404 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) into (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 51.404 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) 51.404 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J 51.404 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J 51.404 * [taylor]: Taking taylor expansion of 2 in J 51.404 * [backup-simplify]: Simplify 2 into 2 51.404 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J 51.404 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 51.404 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 51.404 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 51.404 * [taylor]: Taking taylor expansion of 1/2 in J 51.404 * [backup-simplify]: Simplify 1/2 into 1/2 51.404 * [taylor]: Taking taylor expansion of K in J 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)) 51.404 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 51.404 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 51.404 * [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 * [taylor]: Taking taylor expansion of (pow J 2) in J 51.405 * [taylor]: Taking taylor expansion of J in J 51.405 * [backup-simplify]: Simplify 0 into 0 51.405 * [backup-simplify]: Simplify 1 into 1 51.405 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 51.405 * [backup-simplify]: Simplify (* 1 1) into 1 51.405 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 51.405 * [backup-simplify]: Simplify (+ 0) into 0 51.406 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 51.406 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 51.406 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.407 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 51.407 * [backup-simplify]: Simplify (- 0) into 0 51.407 * [backup-simplify]: Simplify (+ 0 0) into 0 51.407 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 51.408 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.408 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 51.408 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 51.409 * [backup-simplify]: Simplify (- 0) into 0 51.409 * [backup-simplify]: Simplify 0 into 0 51.409 * [taylor]: Taking taylor expansion of 0 in J 51.409 * [backup-simplify]: Simplify 0 into 0 51.409 * [taylor]: Taking taylor expansion of 0 in J 51.409 * [backup-simplify]: Simplify 0 into 0 51.409 * [backup-simplify]: Simplify 0 into 0 51.409 * [backup-simplify]: Simplify 0 into 0 51.409 * [backup-simplify]: Simplify 0 into 0 51.409 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 51.410 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 51.410 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 51.411 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 51.411 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 51.412 * [backup-simplify]: Simplify (- 0) into 0 51.412 * [backup-simplify]: Simplify (+ 0 0) into 0 51.412 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 51.413 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 51.413 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 51.414 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 51.414 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 51.416 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 51.416 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 51.416 * [backup-simplify]: Simplify (- 0) into 0 51.416 * [backup-simplify]: Simplify (+ 0 0) into 0 51.417 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 51.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 51.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 51.419 * [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 51.420 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 51.420 * [backup-simplify]: Simplify (+ 0 0) into 0 51.420 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 51.420 * [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 51.421 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 51.421 * [taylor]: Taking taylor expansion of 0 in K 51.421 * [backup-simplify]: Simplify 0 into 0 51.421 * [taylor]: Taking taylor expansion of 0 in J 51.422 * [backup-simplify]: Simplify 0 into 0 51.422 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 51.422 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 51.422 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 51.422 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) into 0 51.423 * [backup-simplify]: Simplify (- 0) into 0 51.423 * [taylor]: Taking taylor expansion of 0 in J 51.423 * [backup-simplify]: Simplify 0 into 0 51.423 * [taylor]: Taking taylor expansion of 0 in J 51.423 * [backup-simplify]: Simplify 0 into 0 51.423 * [taylor]: Taking taylor expansion of 0 in J 51.423 * [backup-simplify]: Simplify 0 into 0 51.423 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 51.424 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 51.424 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 51.424 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 51.425 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 51.425 * [backup-simplify]: Simplify (- 0) into 0 51.425 * [backup-simplify]: Simplify (+ 0 0) into 0 51.425 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 51.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 51.430 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.431 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 51.431 * [backup-simplify]: Simplify (- 0) into 0 51.431 * [backup-simplify]: Simplify 0 into 0 51.431 * [backup-simplify]: Simplify 0 into 0 51.431 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U) 51.432 * [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 (* 1/2 (/ 1 (- K)))) (/ 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)))))))) 51.432 * [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 51.432 * [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 51.432 * [taylor]: Taking taylor expansion of 2 in J 51.432 * [backup-simplify]: Simplify 2 into 2 51.432 * [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 51.432 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 51.432 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 51.432 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 51.432 * [taylor]: Taking taylor expansion of -1/2 in J 51.432 * [backup-simplify]: Simplify -1/2 into -1/2 51.432 * [taylor]: Taking taylor expansion of K in J 51.432 * [backup-simplify]: Simplify K into K 51.432 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 51.432 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.432 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 51.432 * [taylor]: Taking taylor expansion of J in J 51.432 * [backup-simplify]: Simplify 0 into 0 51.432 * [backup-simplify]: Simplify 1 into 1 51.432 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 51.432 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 51.432 * [backup-simplify]: Simplify (- 0) into 0 51.433 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 51.433 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 51.433 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 51.433 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 51.433 * [taylor]: Taking taylor expansion of 1 in J 51.433 * [backup-simplify]: Simplify 1 into 1 51.433 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 51.433 * [taylor]: Taking taylor expansion of 1/4 in J 51.433 * [backup-simplify]: Simplify 1/4 into 1/4 51.433 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 51.433 * [taylor]: Taking taylor expansion of (pow J 2) in J 51.433 * [taylor]: Taking taylor expansion of J in J 51.433 * [backup-simplify]: Simplify 0 into 0 51.433 * [backup-simplify]: Simplify 1 into 1 51.433 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 51.433 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 51.433 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 51.433 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 51.433 * [taylor]: Taking taylor expansion of -1/2 in J 51.433 * [backup-simplify]: Simplify -1/2 into -1/2 51.433 * [taylor]: Taking taylor expansion of K in J 51.433 * [backup-simplify]: Simplify K into K 51.433 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 51.433 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.433 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 51.433 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 51.433 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 51.433 * [backup-simplify]: Simplify (- 0) into 0 51.433 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 51.433 * [taylor]: Taking taylor expansion of (pow U 2) in J 51.433 * [taylor]: Taking taylor expansion of U in J 51.433 * [backup-simplify]: Simplify U into U 51.434 * [backup-simplify]: Simplify (* 1 1) into 1 51.434 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 51.434 * [backup-simplify]: Simplify (* U U) into (pow U 2) 51.434 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 51.434 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 51.434 * [backup-simplify]: Simplify (+ 1 0) into 1 51.435 * [backup-simplify]: Simplify (sqrt 1) into 1 51.435 * [backup-simplify]: Simplify (+ 0 0) into 0 51.435 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 51.435 * [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 51.435 * [taylor]: Taking taylor expansion of 2 in K 51.435 * [backup-simplify]: Simplify 2 into 2 51.435 * [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 51.435 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 51.435 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 51.435 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 51.435 * [taylor]: Taking taylor expansion of -1/2 in K 51.435 * [backup-simplify]: Simplify -1/2 into -1/2 51.435 * [taylor]: Taking taylor expansion of K in K 51.435 * [backup-simplify]: Simplify 0 into 0 51.435 * [backup-simplify]: Simplify 1 into 1 51.436 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 51.436 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.436 * [taylor]: Taking taylor expansion of J in K 51.436 * [backup-simplify]: Simplify J into J 51.436 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 51.436 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 51.436 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 51.436 * [taylor]: Taking taylor expansion of 1 in K 51.436 * [backup-simplify]: Simplify 1 into 1 51.436 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 51.436 * [taylor]: Taking taylor expansion of 1/4 in K 51.436 * [backup-simplify]: Simplify 1/4 into 1/4 51.436 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 51.436 * [taylor]: Taking taylor expansion of (pow J 2) in K 51.436 * [taylor]: Taking taylor expansion of J in K 51.436 * [backup-simplify]: Simplify J into J 51.436 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 51.436 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 51.437 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 51.437 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 51.437 * [taylor]: Taking taylor expansion of -1/2 in K 51.437 * [backup-simplify]: Simplify -1/2 into -1/2 51.437 * [taylor]: Taking taylor expansion of K in K 51.437 * [backup-simplify]: Simplify 0 into 0 51.437 * [backup-simplify]: Simplify 1 into 1 51.437 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 51.437 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.437 * [taylor]: Taking taylor expansion of (pow U 2) in K 51.437 * [taylor]: Taking taylor expansion of U in K 51.437 * [backup-simplify]: Simplify U into U 51.437 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.437 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 51.438 * [backup-simplify]: Simplify (* U U) into (pow U 2) 51.438 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 51.438 * [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))) 51.438 * [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)))) 51.439 * [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))))) 51.439 * [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)))))) 51.439 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 51.439 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 51.439 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 51.440 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 51.440 * [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 51.441 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 51.441 * [backup-simplify]: Simplify (+ 0 0) into 0 51.442 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 51.442 * [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 51.442 * [taylor]: Taking taylor expansion of 2 in U 51.442 * [backup-simplify]: Simplify 2 into 2 51.442 * [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 51.442 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 51.442 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 51.442 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 51.442 * [taylor]: Taking taylor expansion of -1/2 in U 51.442 * [backup-simplify]: Simplify -1/2 into -1/2 51.442 * [taylor]: Taking taylor expansion of K in U 51.442 * [backup-simplify]: Simplify K into K 51.442 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 51.442 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.442 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 51.442 * [taylor]: Taking taylor expansion of J in U 51.442 * [backup-simplify]: Simplify J into J 51.442 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 51.443 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 51.443 * [backup-simplify]: Simplify (- 0) into 0 51.443 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 51.443 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 51.443 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 51.443 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 51.443 * [taylor]: Taking taylor expansion of 1 in U 51.443 * [backup-simplify]: Simplify 1 into 1 51.443 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 51.443 * [taylor]: Taking taylor expansion of 1/4 in U 51.443 * [backup-simplify]: Simplify 1/4 into 1/4 51.443 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 51.443 * [taylor]: Taking taylor expansion of (pow J 2) in U 51.443 * [taylor]: Taking taylor expansion of J in U 51.443 * [backup-simplify]: Simplify J into J 51.443 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 51.444 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 51.444 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 51.444 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 51.444 * [taylor]: Taking taylor expansion of -1/2 in U 51.444 * [backup-simplify]: Simplify -1/2 into -1/2 51.444 * [taylor]: Taking taylor expansion of K in U 51.444 * [backup-simplify]: Simplify K into K 51.444 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 51.444 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.444 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 51.444 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 51.444 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 51.444 * [backup-simplify]: Simplify (- 0) into 0 51.445 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 51.445 * [taylor]: Taking taylor expansion of (pow U 2) in U 51.445 * [taylor]: Taking taylor expansion of U in U 51.445 * [backup-simplify]: Simplify 0 into 0 51.445 * [backup-simplify]: Simplify 1 into 1 51.445 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.445 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 51.445 * [backup-simplify]: Simplify (* 1 1) into 1 51.445 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 51.446 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 51.446 * [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))) 51.446 * [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))) 51.446 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 51.446 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 51.447 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.447 * [backup-simplify]: Simplify (+ 0) into 0 51.448 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 51.448 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 51.449 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.449 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 51.450 * [backup-simplify]: Simplify (- 0) into 0 51.450 * [backup-simplify]: Simplify (+ 0 0) into 0 51.450 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 51.451 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 51.451 * [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 51.452 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 51.453 * [backup-simplify]: Simplify (+ 0 0) into 0 51.453 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 51.453 * [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 51.453 * [taylor]: Taking taylor expansion of 2 in U 51.453 * [backup-simplify]: Simplify 2 into 2 51.453 * [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 51.453 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 51.453 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 51.453 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 51.453 * [taylor]: Taking taylor expansion of -1/2 in U 51.453 * [backup-simplify]: Simplify -1/2 into -1/2 51.453 * [taylor]: Taking taylor expansion of K in U 51.453 * [backup-simplify]: Simplify K into K 51.453 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 51.453 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.453 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 51.453 * [taylor]: Taking taylor expansion of J in U 51.453 * [backup-simplify]: Simplify J into J 51.454 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 51.454 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 51.454 * [backup-simplify]: Simplify (- 0) into 0 51.454 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 51.454 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 51.454 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 51.455 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 51.455 * [taylor]: Taking taylor expansion of 1 in U 51.455 * [backup-simplify]: Simplify 1 into 1 51.455 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 51.455 * [taylor]: Taking taylor expansion of 1/4 in U 51.455 * [backup-simplify]: Simplify 1/4 into 1/4 51.455 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 51.455 * [taylor]: Taking taylor expansion of (pow J 2) in U 51.455 * [taylor]: Taking taylor expansion of J in U 51.455 * [backup-simplify]: Simplify J into J 51.455 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 51.455 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 51.455 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 51.455 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 51.455 * [taylor]: Taking taylor expansion of -1/2 in U 51.455 * [backup-simplify]: Simplify -1/2 into -1/2 51.455 * [taylor]: Taking taylor expansion of K in U 51.455 * [backup-simplify]: Simplify K into K 51.455 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 51.455 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.455 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 51.455 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 51.455 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 51.456 * [backup-simplify]: Simplify (- 0) into 0 51.456 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 51.456 * [taylor]: Taking taylor expansion of (pow U 2) in U 51.456 * [taylor]: Taking taylor expansion of U in U 51.456 * [backup-simplify]: Simplify 0 into 0 51.456 * [backup-simplify]: Simplify 1 into 1 51.456 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.456 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 51.457 * [backup-simplify]: Simplify (* 1 1) into 1 51.457 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 51.457 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 51.457 * [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))) 51.457 * [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))) 51.458 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 51.458 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 51.458 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.459 * [backup-simplify]: Simplify (+ 0) into 0 51.459 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 51.459 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 51.460 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.461 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 51.461 * [backup-simplify]: Simplify (- 0) into 0 51.461 * [backup-simplify]: Simplify (+ 0 0) into 0 51.461 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 51.462 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 51.462 * [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 51.463 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 51.463 * [backup-simplify]: Simplify (+ 0 0) into 0 51.464 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 51.464 * [backup-simplify]: Simplify (* (/ (cos (/ -1/2 K)) J) (* 1/2 (/ J (cos (/ -1/2 K))))) into 1/2 51.464 * [backup-simplify]: Simplify (* 2 1/2) into 1 51.464 * [taylor]: Taking taylor expansion of 1 in K 51.464 * [backup-simplify]: Simplify 1 into 1 51.464 * [taylor]: Taking taylor expansion of 1 in J 51.464 * [backup-simplify]: Simplify 1 into 1 51.465 * [backup-simplify]: Simplify (+ 0) into 0 51.465 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 51.466 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 51.466 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.467 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 51.467 * [backup-simplify]: Simplify (- 0) into 0 51.468 * [backup-simplify]: Simplify (+ 0 0) into 0 51.468 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0 51.468 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 51.469 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0 51.469 * [taylor]: Taking taylor expansion of 0 in K 51.469 * [backup-simplify]: Simplify 0 into 0 51.469 * [taylor]: Taking taylor expansion of 0 in J 51.469 * [backup-simplify]: Simplify 0 into 0 51.469 * [taylor]: Taking taylor expansion of 0 in J 51.469 * [backup-simplify]: Simplify 0 into 0 51.469 * [backup-simplify]: Simplify 1 into 1 51.469 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 51.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 51.471 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 51.472 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 51.472 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 51.473 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 51.473 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 51.474 * [backup-simplify]: Simplify (- 0) into 0 51.474 * [backup-simplify]: Simplify (+ 0 0) into 0 51.475 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 51.476 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 51.476 * [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 51.477 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 51.477 * [backup-simplify]: Simplify (+ 1 0) into 1 51.478 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 51.479 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 51.480 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 51.480 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 51.481 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 51.481 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 51.482 * [backup-simplify]: Simplify (- 0) into 0 51.482 * [backup-simplify]: Simplify (+ 0 0) into 0 51.482 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 51.483 * [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)) 51.484 * [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))) 51.484 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in K 51.484 * [taylor]: Taking taylor expansion of 2 in K 51.484 * [backup-simplify]: Simplify 2 into 2 51.484 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in K 51.484 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 51.484 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 51.484 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 51.484 * [taylor]: Taking taylor expansion of -1/2 in K 51.484 * [backup-simplify]: Simplify -1/2 into -1/2 51.484 * [taylor]: Taking taylor expansion of K in K 51.484 * [backup-simplify]: Simplify 0 into 0 51.484 * [backup-simplify]: Simplify 1 into 1 51.485 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 51.485 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.485 * [taylor]: Taking taylor expansion of (pow J 2) in K 51.485 * [taylor]: Taking taylor expansion of J in K 51.485 * [backup-simplify]: Simplify J into J 51.485 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 51.485 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.485 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 51.485 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 51.485 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J 51.485 * [taylor]: Taking taylor expansion of 2 in J 51.485 * [backup-simplify]: Simplify 2 into 2 51.486 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J 51.486 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 51.486 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 51.486 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 51.486 * [taylor]: Taking taylor expansion of -1/2 in J 51.486 * [backup-simplify]: Simplify -1/2 into -1/2 51.486 * [taylor]: Taking taylor expansion of K in J 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 * [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 51.486 * [backup-simplify]: Simplify (- 0) into 0 51.487 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 51.487 * [taylor]: Taking taylor expansion of (pow J 2) in J 51.487 * [taylor]: Taking taylor expansion of J in J 51.487 * [backup-simplify]: Simplify 0 into 0 51.487 * [backup-simplify]: Simplify 1 into 1 51.487 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 51.487 * [backup-simplify]: Simplify (* 1 1) into 1 51.487 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 51.488 * [backup-simplify]: Simplify (+ 0) into 0 51.488 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 51.488 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 51.489 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.489 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 51.490 * [backup-simplify]: Simplify (- 0) into 0 51.490 * [backup-simplify]: Simplify (+ 0 0) into 0 51.490 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 51.491 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.492 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 51.492 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 51.492 * [backup-simplify]: Simplify 0 into 0 51.493 * [taylor]: Taking taylor expansion of 0 in J 51.493 * [backup-simplify]: Simplify 0 into 0 51.493 * [taylor]: Taking taylor expansion of 0 in J 51.493 * [backup-simplify]: Simplify 0 into 0 51.493 * [backup-simplify]: Simplify 0 into 0 51.493 * [backup-simplify]: Simplify 0 into 0 51.493 * [backup-simplify]: Simplify 0 into 0 51.494 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 51.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 51.496 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 51.496 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 51.497 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 51.499 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 51.500 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 51.500 * [backup-simplify]: Simplify (- 0) into 0 51.500 * [backup-simplify]: Simplify (+ 0 0) into 0 51.501 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 51.502 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 51.503 * [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 51.504 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 51.505 * [backup-simplify]: Simplify (+ 0 0) into 0 51.505 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 51.506 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 51.507 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 51.507 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 51.509 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 51.509 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 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 (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 51.511 * [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 51.512 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 51.512 * [taylor]: Taking taylor expansion of 0 in K 51.512 * [backup-simplify]: Simplify 0 into 0 51.512 * [taylor]: Taking taylor expansion of 0 in J 51.512 * [backup-simplify]: Simplify 0 into 0 51.513 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 51.513 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 51.513 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 51.514 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) into 0 51.514 * [taylor]: Taking taylor expansion of 0 in J 51.514 * [backup-simplify]: Simplify 0 into 0 51.514 * [taylor]: Taking taylor expansion of 0 in J 51.514 * [backup-simplify]: Simplify 0 into 0 51.514 * [taylor]: Taking taylor expansion of 0 in J 51.514 * [backup-simplify]: Simplify 0 into 0 51.515 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 51.516 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 51.516 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 51.517 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 51.517 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 51.517 * [backup-simplify]: Simplify (- 0) into 0 51.518 * [backup-simplify]: Simplify (+ 0 0) into 0 51.518 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 51.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 51.521 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.522 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0 51.522 * [backup-simplify]: Simplify 0 into 0 51.522 * [backup-simplify]: Simplify 0 into 0 51.522 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U) 51.522 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 51.522 * [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)))) 51.522 * [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 51.522 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 51.522 * [taylor]: Taking taylor expansion of 1/4 in J 51.522 * [backup-simplify]: Simplify 1/4 into 1/4 51.522 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 51.522 * [taylor]: Taking taylor expansion of (pow U 2) in J 51.523 * [taylor]: Taking taylor expansion of U in J 51.523 * [backup-simplify]: Simplify U into U 51.523 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 51.523 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 51.523 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 51.523 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 51.523 * [taylor]: Taking taylor expansion of 1/2 in J 51.523 * [backup-simplify]: Simplify 1/2 into 1/2 51.523 * [taylor]: Taking taylor expansion of K in J 51.523 * [backup-simplify]: Simplify K into K 51.523 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 51.523 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 51.523 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 51.523 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 51.523 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 51.524 * [backup-simplify]: Simplify (- 0) into 0 51.524 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 51.524 * [taylor]: Taking taylor expansion of (pow J 2) in J 51.524 * [taylor]: Taking taylor expansion of J in J 51.524 * [backup-simplify]: Simplify 0 into 0 51.524 * [backup-simplify]: Simplify 1 into 1 51.524 * [backup-simplify]: Simplify (* U U) into (pow U 2) 51.524 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 51.524 * [backup-simplify]: Simplify (* 1 1) into 1 51.524 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 51.525 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 51.525 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 51.525 * [taylor]: Taking taylor expansion of 1/4 in K 51.525 * [backup-simplify]: Simplify 1/4 into 1/4 51.525 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 51.525 * [taylor]: Taking taylor expansion of (pow U 2) in K 51.525 * [taylor]: Taking taylor expansion of U in K 51.525 * [backup-simplify]: Simplify U into U 51.525 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 51.525 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 51.525 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 51.525 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 51.525 * [taylor]: Taking taylor expansion of 1/2 in K 51.525 * [backup-simplify]: Simplify 1/2 into 1/2 51.525 * [taylor]: Taking taylor expansion of K in K 51.525 * [backup-simplify]: Simplify 0 into 0 51.525 * [backup-simplify]: Simplify 1 into 1 51.526 * [backup-simplify]: Simplify (* 1/2 0) into 0 51.527 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 51.527 * [taylor]: Taking taylor expansion of (pow J 2) in K 51.527 * [taylor]: Taking taylor expansion of J in K 51.527 * [backup-simplify]: Simplify J into J 51.527 * [backup-simplify]: Simplify (* U U) into (pow U 2) 51.527 * [backup-simplify]: Simplify (* 1 1) into 1 51.527 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.527 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 51.527 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 51.528 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 51.528 * [taylor]: Taking taylor expansion of 1/4 in U 51.528 * [backup-simplify]: Simplify 1/4 into 1/4 51.528 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 51.528 * [taylor]: Taking taylor expansion of (pow U 2) in U 51.528 * [taylor]: Taking taylor expansion of U in U 51.528 * [backup-simplify]: Simplify 0 into 0 51.528 * [backup-simplify]: Simplify 1 into 1 51.528 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 51.528 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 51.528 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 51.528 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 51.528 * [taylor]: Taking taylor expansion of 1/2 in U 51.528 * [backup-simplify]: Simplify 1/2 into 1/2 51.528 * [taylor]: Taking taylor expansion of K in U 51.528 * [backup-simplify]: Simplify K into K 51.528 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 51.528 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 51.528 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 51.528 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 51.528 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 51.529 * [backup-simplify]: Simplify (- 0) into 0 51.529 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 51.529 * [taylor]: Taking taylor expansion of (pow J 2) in U 51.529 * [taylor]: Taking taylor expansion of J in U 51.529 * [backup-simplify]: Simplify J into J 51.529 * [backup-simplify]: Simplify (* 1 1) into 1 51.529 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 51.529 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.530 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 51.530 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 51.530 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 51.530 * [taylor]: Taking taylor expansion of 1/4 in U 51.530 * [backup-simplify]: Simplify 1/4 into 1/4 51.530 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 51.530 * [taylor]: Taking taylor expansion of (pow U 2) in U 51.530 * [taylor]: Taking taylor expansion of U in U 51.530 * [backup-simplify]: Simplify 0 into 0 51.530 * [backup-simplify]: Simplify 1 into 1 51.530 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 51.530 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 51.530 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 51.530 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 51.530 * [taylor]: Taking taylor expansion of 1/2 in U 51.530 * [backup-simplify]: Simplify 1/2 into 1/2 51.530 * [taylor]: Taking taylor expansion of K in U 51.530 * [backup-simplify]: Simplify K into K 51.530 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 51.530 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 51.530 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 51.530 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 51.531 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 51.531 * [backup-simplify]: Simplify (- 0) into 0 51.531 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 51.531 * [taylor]: Taking taylor expansion of (pow J 2) in U 51.531 * [taylor]: Taking taylor expansion of J in U 51.531 * [backup-simplify]: Simplify J into J 51.532 * [backup-simplify]: Simplify (* 1 1) into 1 51.532 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 51.532 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.532 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 51.532 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 51.532 * [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))) 51.532 * [taylor]: Taking taylor expansion of (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 51.532 * [taylor]: Taking taylor expansion of 1/4 in K 51.532 * [backup-simplify]: Simplify 1/4 into 1/4 51.532 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 51.533 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 51.533 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 51.533 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 51.533 * [taylor]: Taking taylor expansion of 1/2 in K 51.533 * [backup-simplify]: Simplify 1/2 into 1/2 51.533 * [taylor]: Taking taylor expansion of K in K 51.533 * [backup-simplify]: Simplify 0 into 0 51.533 * [backup-simplify]: Simplify 1 into 1 51.533 * [backup-simplify]: Simplify (* 1/2 0) into 0 51.534 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 51.534 * [taylor]: Taking taylor expansion of (pow J 2) in K 51.534 * [taylor]: Taking taylor expansion of J in K 51.534 * [backup-simplify]: Simplify J into J 51.534 * [backup-simplify]: Simplify (* 1 1) into 1 51.534 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.534 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 51.535 * [backup-simplify]: Simplify (/ 1/4 (pow J 2)) into (/ 1/4 (pow J 2)) 51.535 * [taylor]: Taking taylor expansion of (/ 1/4 (pow J 2)) in J 51.535 * [taylor]: Taking taylor expansion of 1/4 in J 51.535 * [backup-simplify]: Simplify 1/4 into 1/4 51.535 * [taylor]: Taking taylor expansion of (pow J 2) in J 51.535 * [taylor]: Taking taylor expansion of J in J 51.535 * [backup-simplify]: Simplify 0 into 0 51.535 * [backup-simplify]: Simplify 1 into 1 51.535 * [backup-simplify]: Simplify (* 1 1) into 1 51.536 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 51.536 * [backup-simplify]: Simplify 1/4 into 1/4 51.536 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.536 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 51.537 * [backup-simplify]: Simplify (+ 0) into 0 51.537 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 51.538 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 51.539 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.539 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 51.539 * [backup-simplify]: Simplify (- 0) into 0 51.540 * [backup-simplify]: Simplify (+ 0 0) into 0 51.540 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 51.540 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 51.541 * [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 51.541 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 51.541 * [taylor]: Taking taylor expansion of 0 in K 51.541 * [backup-simplify]: Simplify 0 into 0 51.541 * [taylor]: Taking taylor expansion of 0 in J 51.541 * [backup-simplify]: Simplify 0 into 0 51.542 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 51.542 * [backup-simplify]: Simplify (+ 0) into 0 51.543 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.543 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 51.543 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/4 (pow J 2)) (/ 0 (pow J 2))))) into 0 51.543 * [taylor]: Taking taylor expansion of 0 in J 51.543 * [backup-simplify]: Simplify 0 into 0 51.544 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.545 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 51.545 * [backup-simplify]: Simplify 0 into 0 51.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 51.546 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 51.547 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 51.548 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 51.549 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 51.550 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 51.551 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 51.551 * [backup-simplify]: Simplify (- 0) into 0 51.551 * [backup-simplify]: Simplify (+ 0 0) into 0 51.552 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 51.552 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 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)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 51.554 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 51.554 * [taylor]: Taking taylor expansion of 0 in K 51.554 * [backup-simplify]: Simplify 0 into 0 51.554 * [taylor]: Taking taylor expansion of 0 in J 51.554 * [backup-simplify]: Simplify 0 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 (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 51.556 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 51.557 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (* -1/8 1))) into -1/4 51.558 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/4 (pow J 2)))) into (- (* 1/4 (pow J 2))) 51.559 * [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))) 51.559 * [taylor]: Taking taylor expansion of (* 1/16 (/ 1 (pow J 2))) in J 51.559 * [taylor]: Taking taylor expansion of 1/16 in J 51.559 * [backup-simplify]: Simplify 1/16 into 1/16 51.559 * [taylor]: Taking taylor expansion of (/ 1 (pow J 2)) in J 51.559 * [taylor]: Taking taylor expansion of (pow J 2) in J 51.559 * [taylor]: Taking taylor expansion of J in J 51.559 * [backup-simplify]: Simplify 0 into 0 51.559 * [backup-simplify]: Simplify 1 into 1 51.559 * [backup-simplify]: Simplify (* 1 1) into 1 51.560 * [backup-simplify]: Simplify (/ 1 1) into 1 51.560 * [backup-simplify]: Simplify (* 1/16 1) into 1/16 51.560 * [backup-simplify]: Simplify 1/16 into 1/16 51.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 51.562 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.562 * [backup-simplify]: Simplify 0 into 0 51.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 51.564 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 51.565 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 51.566 * [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 51.568 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 51.569 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 51.569 * [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 51.579 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) into 0 51.579 * [taylor]: Taking taylor expansion of 0 in K 51.579 * [backup-simplify]: Simplify 0 into 0 51.579 * [taylor]: Taking taylor expansion of 0 in J 51.579 * [backup-simplify]: Simplify 0 into 0 51.579 * [taylor]: Taking taylor expansion of 0 in J 51.579 * [backup-simplify]: Simplify 0 into 0 51.579 * [taylor]: Taking taylor expansion of 0 in J 51.579 * [backup-simplify]: Simplify 0 into 0 51.581 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 51.582 * [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 51.586 * [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 51.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 51.589 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 1)) into 0 51.589 * [backup-simplify]: Simplify 0 into 0 51.589 * [backup-simplify]: Simplify 0 into 0 51.589 * [backup-simplify]: Simplify 0 into 0 51.590 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 51.591 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.591 * [backup-simplify]: Simplify 0 into 0 51.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 51.594 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 J))))) into 0 51.596 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 51.597 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 51.599 * [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 51.601 * [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 51.602 * [backup-simplify]: Simplify (+ 0 0) into 0 51.603 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))))) into 0 51.604 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2)))))) into 0 51.606 * [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 51.607 * [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 51.607 * [taylor]: Taking taylor expansion of 0 in K 51.607 * [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 * [taylor]: Taking taylor expansion of 0 in J 51.608 * [backup-simplify]: Simplify 0 into 0 51.608 * [taylor]: Taking taylor expansion of 0 in J 51.608 * [backup-simplify]: Simplify 0 into 0 51.608 * [taylor]: Taking taylor expansion of 0 in J 51.608 * [backup-simplify]: Simplify 0 into 0 51.609 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 J))))) into 0 51.610 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 51.613 * [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 51.616 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (+ (* 0 0) (* 1/48 (pow J 2)))))) into (* 1/48 (pow J 2)) 51.617 * [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))) 51.617 * [taylor]: Taking taylor expansion of (* 1/96 (/ 1 (pow J 2))) in J 51.617 * [taylor]: Taking taylor expansion of 1/96 in J 51.617 * [backup-simplify]: Simplify 1/96 into 1/96 51.617 * [taylor]: Taking taylor expansion of (/ 1 (pow J 2)) in J 51.617 * [taylor]: Taking taylor expansion of (pow J 2) in J 51.618 * [taylor]: Taking taylor expansion of J in J 51.618 * [backup-simplify]: Simplify 0 into 0 51.618 * [backup-simplify]: Simplify 1 into 1 51.618 * [backup-simplify]: Simplify (* 1 1) into 1 51.618 * [backup-simplify]: Simplify (/ 1 1) into 1 51.619 * [backup-simplify]: Simplify (* 1/96 1) into 1/96 51.619 * [backup-simplify]: Simplify 1/96 into 1/96 51.620 * [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))))) 51.620 * [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)))) 51.620 * [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 51.620 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 51.620 * [taylor]: Taking taylor expansion of 1/4 in J 51.620 * [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 J 51.621 * [taylor]: Taking taylor expansion of (pow J 2) in J 51.621 * [taylor]: Taking taylor expansion of J in J 51.621 * [backup-simplify]: Simplify 0 into 0 51.621 * [backup-simplify]: Simplify 1 into 1 51.621 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 51.621 * [taylor]: Taking taylor expansion of (pow U 2) in J 51.621 * [taylor]: Taking taylor expansion of U in J 51.621 * [backup-simplify]: Simplify U into U 51.621 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 51.621 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 51.621 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 51.621 * [taylor]: Taking taylor expansion of 1/2 in J 51.621 * [backup-simplify]: Simplify 1/2 into 1/2 51.621 * [taylor]: Taking taylor expansion of K in J 51.621 * [backup-simplify]: Simplify K into K 51.621 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 51.621 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.621 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 51.621 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 51.621 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 51.622 * [backup-simplify]: Simplify (- 0) into 0 51.622 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 51.622 * [backup-simplify]: Simplify (* 1 1) into 1 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 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (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 K 51.623 * [taylor]: Taking taylor expansion of 1/4 in K 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 K 51.623 * [taylor]: Taking taylor expansion of (pow J 2) in K 51.623 * [taylor]: Taking taylor expansion of J in K 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 K 51.623 * [taylor]: Taking taylor expansion of (pow U 2) in K 51.623 * [taylor]: Taking taylor expansion of U in K 51.623 * [backup-simplify]: Simplify U into U 51.623 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 51.623 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 51.623 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 51.623 * [taylor]: Taking taylor expansion of 1/2 in K 51.623 * [backup-simplify]: Simplify 1/2 into 1/2 51.623 * [taylor]: Taking taylor expansion of K in K 51.623 * [backup-simplify]: Simplify 0 into 0 51.623 * [backup-simplify]: Simplify 1 into 1 51.624 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 51.624 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.624 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.624 * [backup-simplify]: Simplify (* U U) into (pow U 2) 51.624 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 51.624 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 51.624 * [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))) 51.624 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 51.624 * [taylor]: Taking taylor expansion of 1/4 in U 51.624 * [backup-simplify]: Simplify 1/4 into 1/4 51.624 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 51.624 * [taylor]: Taking taylor expansion of (pow J 2) in U 51.624 * [taylor]: Taking taylor expansion of J in U 51.624 * [backup-simplify]: Simplify J into J 51.624 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 51.624 * [taylor]: Taking taylor expansion of (pow U 2) in U 51.624 * [taylor]: Taking taylor expansion of U in U 51.624 * [backup-simplify]: Simplify 0 into 0 51.624 * [backup-simplify]: Simplify 1 into 1 51.624 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 51.624 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 51.624 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 51.624 * [taylor]: Taking taylor expansion of 1/2 in U 51.624 * [backup-simplify]: Simplify 1/2 into 1/2 51.624 * [taylor]: Taking taylor expansion of K in U 51.624 * [backup-simplify]: Simplify K into K 51.624 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 51.625 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.625 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 51.625 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 51.625 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 51.625 * [backup-simplify]: Simplify (- 0) into 0 51.625 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 51.625 * [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) 51.626 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 51.626 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 51.626 * [taylor]: Taking taylor expansion of 1/4 in U 51.626 * [backup-simplify]: Simplify 1/4 into 1/4 51.626 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 51.626 * [taylor]: Taking taylor expansion of (pow J 2) in U 51.626 * [taylor]: Taking taylor expansion of J in U 51.626 * [backup-simplify]: Simplify J into J 51.626 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 51.626 * [taylor]: Taking taylor expansion of (pow U 2) in U 51.626 * [taylor]: Taking taylor expansion of U in U 51.626 * [backup-simplify]: Simplify 0 into 0 51.626 * [backup-simplify]: Simplify 1 into 1 51.626 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 51.626 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 51.626 * [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)) 51.626 * [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)) 51.627 * [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))) 51.627 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in K 51.627 * [taylor]: Taking taylor expansion of 1/4 in K 51.627 * [backup-simplify]: Simplify 1/4 into 1/4 51.627 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in K 51.627 * [taylor]: Taking taylor expansion of (pow J 2) in K 51.627 * [taylor]: Taking taylor expansion of J in K 51.627 * [backup-simplify]: Simplify J into J 51.627 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 51.627 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 51.627 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 51.627 * [taylor]: Taking taylor expansion of 1/2 in K 51.627 * [backup-simplify]: Simplify 1/2 into 1/2 51.627 * [taylor]: Taking taylor expansion of K in K 51.627 * [backup-simplify]: Simplify 0 into 0 51.627 * [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)) 51.628 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.628 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 51.628 * [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 J 51.628 * [taylor]: Taking taylor expansion of 1/4 in J 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 J 51.628 * [taylor]: Taking taylor expansion of (pow J 2) in J 51.628 * [taylor]: Taking taylor expansion of J in J 51.628 * [backup-simplify]: Simplify 0 into 0 51.628 * [backup-simplify]: Simplify 1 into 1 51.628 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 51.628 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 51.628 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 51.628 * [taylor]: Taking taylor expansion of 1/2 in J 51.628 * [backup-simplify]: Simplify 1/2 into 1/2 51.628 * [taylor]: Taking taylor expansion of K in J 51.628 * [backup-simplify]: Simplify K into K 51.628 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 51.628 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.628 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 51.628 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 51.629 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 51.629 * [backup-simplify]: Simplify (- 0) into 0 51.629 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 51.629 * [backup-simplify]: Simplify (* 1 1) into 1 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 (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 51.629 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 51.629 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 51.629 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 51.630 * [backup-simplify]: Simplify (+ 0) into 0 51.630 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 51.630 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 51.631 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.631 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 51.631 * [backup-simplify]: Simplify (- 0) into 0 51.631 * [backup-simplify]: Simplify (+ 0 0) into 0 51.631 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 51.632 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.632 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 51.632 * [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 51.633 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 51.633 * [taylor]: Taking taylor expansion of 0 in K 51.633 * [backup-simplify]: Simplify 0 into 0 51.633 * [taylor]: Taking taylor expansion of 0 in J 51.633 * [backup-simplify]: Simplify 0 into 0 51.633 * [backup-simplify]: Simplify 0 into 0 51.633 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 51.633 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 51.633 * [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 51.634 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 51.634 * [taylor]: Taking taylor expansion of 0 in J 51.634 * [backup-simplify]: Simplify 0 into 0 51.634 * [backup-simplify]: Simplify 0 into 0 51.634 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.634 * [backup-simplify]: Simplify (+ 0) into 0 51.635 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 51.635 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 51.635 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.636 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 51.636 * [backup-simplify]: Simplify (- 0) into 0 51.636 * [backup-simplify]: Simplify (+ 0 0) into 0 51.636 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 51.636 * [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 51.637 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 51.637 * [backup-simplify]: Simplify 0 into 0 51.637 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 51.638 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 51.638 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 51.638 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 51.639 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 51.639 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 51.639 * [backup-simplify]: Simplify (- 0) into 0 51.640 * [backup-simplify]: Simplify (+ 0 0) into 0 51.640 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 51.641 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 51.641 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 51.641 * [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 51.642 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 51.642 * [taylor]: Taking taylor expansion of 0 in K 51.642 * [backup-simplify]: Simplify 0 into 0 51.642 * [taylor]: Taking taylor expansion of 0 in J 51.642 * [backup-simplify]: Simplify 0 into 0 51.642 * [backup-simplify]: Simplify 0 into 0 51.642 * [taylor]: Taking taylor expansion of 0 in J 51.642 * [backup-simplify]: Simplify 0 into 0 51.642 * [backup-simplify]: Simplify 0 into 0 51.642 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 51.643 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 51.643 * [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 51.644 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 51.644 * [taylor]: Taking taylor expansion of 0 in J 51.644 * [backup-simplify]: Simplify 0 into 0 51.644 * [backup-simplify]: Simplify 0 into 0 51.644 * [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)))) 51.644 * [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)))) 51.644 * [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 51.644 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 51.644 * [taylor]: Taking taylor expansion of 1/4 in J 51.644 * [backup-simplify]: Simplify 1/4 into 1/4 51.644 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 51.644 * [taylor]: Taking taylor expansion of (pow J 2) in J 51.644 * [taylor]: Taking taylor expansion of J in J 51.644 * [backup-simplify]: Simplify 0 into 0 51.644 * [backup-simplify]: Simplify 1 into 1 51.644 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 51.644 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 51.644 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 51.644 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 51.645 * [taylor]: Taking taylor expansion of -1/2 in J 51.645 * [backup-simplify]: Simplify -1/2 into -1/2 51.645 * [taylor]: Taking taylor expansion of K in J 51.645 * [backup-simplify]: Simplify K into K 51.645 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 51.645 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.645 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 51.645 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 51.645 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 51.645 * [backup-simplify]: Simplify (- 0) into 0 51.645 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 51.645 * [taylor]: Taking taylor expansion of (pow U 2) in J 51.645 * [taylor]: Taking taylor expansion of U in J 51.645 * [backup-simplify]: Simplify U into U 51.645 * [backup-simplify]: Simplify (* 1 1) into 1 51.645 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 51.646 * [backup-simplify]: Simplify (* U U) into (pow U 2) 51.646 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 51.646 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 51.646 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 51.646 * [taylor]: Taking taylor expansion of 1/4 in K 51.646 * [backup-simplify]: Simplify 1/4 into 1/4 51.646 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 51.646 * [taylor]: Taking taylor expansion of (pow J 2) in K 51.646 * [taylor]: Taking taylor expansion of J in K 51.646 * [backup-simplify]: Simplify J into J 51.646 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 51.646 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 51.646 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 51.646 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 51.646 * [taylor]: Taking taylor expansion of -1/2 in K 51.646 * [backup-simplify]: Simplify -1/2 into -1/2 51.646 * [taylor]: Taking taylor expansion of K in K 51.646 * [backup-simplify]: Simplify 0 into 0 51.646 * [backup-simplify]: Simplify 1 into 1 51.646 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 51.646 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.646 * [taylor]: Taking taylor expansion of (pow U 2) in K 51.646 * [taylor]: Taking taylor expansion of U in K 51.646 * [backup-simplify]: Simplify U into U 51.646 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.646 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 51.647 * [backup-simplify]: Simplify (* U U) into (pow U 2) 51.647 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 51.647 * [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))) 51.647 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 51.647 * [taylor]: Taking taylor expansion of 1/4 in U 51.647 * [backup-simplify]: Simplify 1/4 into 1/4 51.647 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 51.647 * [taylor]: Taking taylor expansion of (pow J 2) in U 51.647 * [taylor]: Taking taylor expansion of J in U 51.647 * [backup-simplify]: Simplify J into J 51.647 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 51.647 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 51.647 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 51.647 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 51.647 * [taylor]: Taking taylor expansion of -1/2 in U 51.647 * [backup-simplify]: Simplify -1/2 into -1/2 51.647 * [taylor]: Taking taylor expansion of K in U 51.647 * [backup-simplify]: Simplify K into K 51.647 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 51.647 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.647 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 51.647 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 51.647 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 51.647 * [backup-simplify]: Simplify (- 0) into 0 51.648 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 51.648 * [taylor]: Taking taylor expansion of (pow U 2) in U 51.648 * [taylor]: Taking taylor expansion of U in U 51.648 * [backup-simplify]: Simplify 0 into 0 51.648 * [backup-simplify]: Simplify 1 into 1 51.648 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.648 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 51.648 * [backup-simplify]: Simplify (* 1 1) into 1 51.648 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 51.648 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 51.648 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 51.648 * [taylor]: Taking taylor expansion of 1/4 in U 51.648 * [backup-simplify]: Simplify 1/4 into 1/4 51.648 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 51.648 * [taylor]: Taking taylor expansion of (pow J 2) in U 51.648 * [taylor]: Taking taylor expansion of J in U 51.648 * [backup-simplify]: Simplify J into J 51.648 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 51.648 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 51.648 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 51.648 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 51.648 * [taylor]: Taking taylor expansion of -1/2 in U 51.648 * [backup-simplify]: Simplify -1/2 into -1/2 51.648 * [taylor]: Taking taylor expansion of K in U 51.648 * [backup-simplify]: Simplify K into K 51.648 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 51.648 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.648 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 51.649 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 51.649 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 51.649 * [backup-simplify]: Simplify (- 0) into 0 51.649 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 51.649 * [taylor]: Taking taylor expansion of (pow U 2) in U 51.649 * [taylor]: Taking taylor expansion of U in U 51.649 * [backup-simplify]: Simplify 0 into 0 51.649 * [backup-simplify]: Simplify 1 into 1 51.649 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.649 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 51.649 * [backup-simplify]: Simplify (* 1 1) into 1 51.649 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 51.650 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 51.650 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 51.650 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in K 51.650 * [taylor]: Taking taylor expansion of 1/4 in K 51.650 * [backup-simplify]: Simplify 1/4 into 1/4 51.650 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in K 51.650 * [taylor]: Taking taylor expansion of (pow J 2) in K 51.650 * [taylor]: Taking taylor expansion of J in K 51.650 * [backup-simplify]: Simplify J into J 51.650 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 51.650 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 51.650 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 51.650 * [taylor]: Taking taylor expansion of -1/2 in K 51.650 * [backup-simplify]: Simplify -1/2 into -1/2 51.650 * [taylor]: Taking taylor expansion of K in K 51.650 * [backup-simplify]: Simplify 0 into 0 51.650 * [backup-simplify]: Simplify 1 into 1 51.650 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 51.650 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.650 * [backup-simplify]: Simplify (* J J) into (pow J 2) 51.650 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 51.650 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 51.651 * [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))) 51.651 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 51.651 * [taylor]: Taking taylor expansion of 1/4 in J 51.651 * [backup-simplify]: Simplify 1/4 into 1/4 51.651 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 51.651 * [taylor]: Taking taylor expansion of (pow J 2) in J 51.651 * [taylor]: Taking taylor expansion of J in J 51.651 * [backup-simplify]: Simplify 0 into 0 51.651 * [backup-simplify]: Simplify 1 into 1 51.651 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 51.651 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 51.651 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 51.651 * [taylor]: Taking taylor expansion of -1/2 in J 51.651 * [backup-simplify]: Simplify -1/2 into -1/2 51.651 * [taylor]: Taking taylor expansion of K in J 51.651 * [backup-simplify]: Simplify K into K 51.651 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 51.651 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.651 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 51.651 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 51.651 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 51.651 * [backup-simplify]: Simplify (- 0) into 0 51.651 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 51.652 * [backup-simplify]: Simplify (* 1 1) into 1 51.652 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 51.652 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 51.652 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 51.652 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 51.652 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 51.653 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.653 * [backup-simplify]: Simplify (+ 0) into 0 51.654 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 51.654 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 51.655 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.655 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 51.656 * [backup-simplify]: Simplify (- 0) into 0 51.656 * [backup-simplify]: Simplify (+ 0 0) into 0 51.656 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 51.657 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 51.657 * [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 51.658 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 51.658 * [taylor]: Taking taylor expansion of 0 in K 51.658 * [backup-simplify]: Simplify 0 into 0 51.658 * [taylor]: Taking taylor expansion of 0 in J 51.658 * [backup-simplify]: Simplify 0 into 0 51.658 * [backup-simplify]: Simplify 0 into 0 51.658 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 51.658 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 51.659 * [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 51.659 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 51.659 * [taylor]: Taking taylor expansion of 0 in J 51.659 * [backup-simplify]: Simplify 0 into 0 51.659 * [backup-simplify]: Simplify 0 into 0 51.660 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 51.660 * [backup-simplify]: Simplify (+ 0) into 0 51.660 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 51.660 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 51.661 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.661 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 51.661 * [backup-simplify]: Simplify (- 0) into 0 51.662 * [backup-simplify]: Simplify (+ 0 0) into 0 51.662 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 51.662 * [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 51.662 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 51.662 * [backup-simplify]: Simplify 0 into 0 51.663 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 51.663 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 51.664 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 51.664 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 51.664 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 51.665 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 51.665 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 51.665 * [backup-simplify]: Simplify (- 0) into 0 51.666 * [backup-simplify]: Simplify (+ 0 0) into 0 51.666 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 51.667 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 51.667 * [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 51.667 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 51.667 * [taylor]: Taking taylor expansion of 0 in K 51.667 * [backup-simplify]: Simplify 0 into 0 51.668 * [taylor]: Taking taylor expansion of 0 in J 51.668 * [backup-simplify]: Simplify 0 into 0 51.668 * [backup-simplify]: Simplify 0 into 0 51.668 * [taylor]: Taking taylor expansion of 0 in J 51.668 * [backup-simplify]: Simplify 0 into 0 51.668 * [backup-simplify]: Simplify 0 into 0 51.668 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 51.668 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 51.669 * [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 51.669 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 51.669 * [taylor]: Taking taylor expansion of 0 in J 51.669 * [backup-simplify]: Simplify 0 into 0 51.669 * [backup-simplify]: Simplify 0 into 0 51.669 * [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)))) 51.669 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 51.670 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 51.670 * [approximate]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in (K J) around 0 51.670 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 51.670 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 51.670 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 51.670 * [taylor]: Taking taylor expansion of 1/2 in J 51.670 * [backup-simplify]: Simplify 1/2 into 1/2 51.670 * [taylor]: Taking taylor expansion of K in J 51.670 * [backup-simplify]: Simplify K into K 51.670 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 51.670 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 51.670 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 51.670 * [taylor]: Taking taylor expansion of J in J 51.670 * [backup-simplify]: Simplify 0 into 0 51.670 * [backup-simplify]: Simplify 1 into 1 51.670 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 51.670 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 51.670 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 51.670 * [taylor]: Taking taylor expansion of 1/2 in K 51.670 * [backup-simplify]: Simplify 1/2 into 1/2 51.670 * [taylor]: Taking taylor expansion of K in K 51.670 * [backup-simplify]: Simplify 0 into 0 51.670 * [backup-simplify]: Simplify 1 into 1 51.670 * [backup-simplify]: Simplify (* 1/2 0) into 0 51.671 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 51.671 * [taylor]: Taking taylor expansion of J in K 51.671 * [backup-simplify]: Simplify J into J 51.671 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 51.671 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 51.671 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 51.671 * [taylor]: Taking taylor expansion of 1/2 in K 51.671 * [backup-simplify]: Simplify 1/2 into 1/2 51.671 * [taylor]: Taking taylor expansion of K in K 51.671 * [backup-simplify]: Simplify 0 into 0 51.671 * [backup-simplify]: Simplify 1 into 1 51.671 * [backup-simplify]: Simplify (* 1/2 0) into 0 51.672 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 51.672 * [taylor]: Taking taylor expansion of J in K 51.672 * [backup-simplify]: Simplify J into J 51.672 * [backup-simplify]: Simplify (* 1 J) into J 51.672 * [taylor]: Taking taylor expansion of J in J 51.672 * [backup-simplify]: Simplify 0 into 0 51.672 * [backup-simplify]: Simplify 1 into 1 51.672 * [backup-simplify]: Simplify 0 into 0 51.672 * [backup-simplify]: Simplify (+ 0) into 0 51.672 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 51.672 * [taylor]: Taking taylor expansion of 0 in J 51.672 * [backup-simplify]: Simplify 0 into 0 51.672 * [backup-simplify]: Simplify 0 into 0 51.672 * [backup-simplify]: Simplify 1 into 1 51.673 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 51.673 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J)) 51.674 * [taylor]: Taking taylor expansion of (- (* 1/8 J)) in J 51.674 * [taylor]: Taking taylor expansion of (* 1/8 J) in J 51.674 * [taylor]: Taking taylor expansion of 1/8 in J 51.674 * [backup-simplify]: Simplify 1/8 into 1/8 51.674 * [taylor]: Taking taylor expansion of J in J 51.674 * [backup-simplify]: Simplify 0 into 0 51.674 * [backup-simplify]: Simplify 1 into 1 51.674 * [backup-simplify]: Simplify (* 1/8 0) into 0 51.674 * [backup-simplify]: Simplify (- 0) into 0 51.674 * [backup-simplify]: Simplify 0 into 0 51.674 * [backup-simplify]: Simplify 0 into 0 51.674 * [backup-simplify]: Simplify 0 into 0 51.675 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 51.676 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 51.676 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0 51.676 * [taylor]: Taking taylor expansion of 0 in J 51.676 * [backup-simplify]: Simplify 0 into 0 51.676 * [backup-simplify]: Simplify 0 into 0 51.677 * [backup-simplify]: Simplify (+ (* 1/8 1) (* 0 0)) into 1/8 51.677 * [backup-simplify]: Simplify (- 1/8) into -1/8 51.677 * [backup-simplify]: Simplify -1/8 into -1/8 51.677 * [backup-simplify]: Simplify 0 into 0 51.677 * [backup-simplify]: Simplify 0 into 0 51.678 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 51.680 * [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 51.681 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (+ (* 0 0) (* 1/384 J))))) into (* 1/384 J) 51.681 * [taylor]: Taking taylor expansion of (* 1/384 J) in J 51.681 * [taylor]: Taking taylor expansion of 1/384 in J 51.681 * [backup-simplify]: Simplify 1/384 into 1/384 51.681 * [taylor]: Taking taylor expansion of J in J 51.681 * [backup-simplify]: Simplify 0 into 0 51.681 * [backup-simplify]: Simplify 1 into 1 51.681 * [backup-simplify]: Simplify (* 1/384 0) into 0 51.681 * [backup-simplify]: Simplify 0 into 0 51.681 * [backup-simplify]: Simplify 0 into 0 51.682 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 1) (* 0 0))) into 0 51.682 * [backup-simplify]: Simplify (- 0) into 0 51.682 * [backup-simplify]: Simplify 0 into 0 51.682 * [backup-simplify]: Simplify 0 into 0 51.682 * [backup-simplify]: Simplify (+ (* -1/8 (* J (pow K 2))) (* 1 (* J 1))) into (- J (* 1/8 (* (pow K 2) J))) 51.682 * [backup-simplify]: Simplify (* (cos (* 1/2 (/ 1 K))) (/ 1 J)) into (/ (cos (/ 1/2 K)) J) 51.682 * [approximate]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in (K J) around 0 51.682 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 51.682 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 51.682 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 51.682 * [taylor]: Taking taylor expansion of 1/2 in J 51.682 * [backup-simplify]: Simplify 1/2 into 1/2 51.682 * [taylor]: Taking taylor expansion of K in J 51.682 * [backup-simplify]: Simplify K into K 51.682 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 51.682 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.683 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 51.683 * [taylor]: Taking taylor expansion of J in J 51.683 * [backup-simplify]: Simplify 0 into 0 51.683 * [backup-simplify]: Simplify 1 into 1 51.683 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 51.683 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 51.683 * [backup-simplify]: Simplify (- 0) into 0 51.683 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 51.683 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 51.683 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 51.683 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 51.683 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 51.683 * [taylor]: Taking taylor expansion of 1/2 in K 51.683 * [backup-simplify]: Simplify 1/2 into 1/2 51.683 * [taylor]: Taking taylor expansion of K in K 51.683 * [backup-simplify]: Simplify 0 into 0 51.683 * [backup-simplify]: Simplify 1 into 1 51.683 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 51.683 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.684 * [taylor]: Taking taylor expansion of J in K 51.684 * [backup-simplify]: Simplify J into J 51.684 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 51.684 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 51.684 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 51.684 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 51.684 * [taylor]: Taking taylor expansion of 1/2 in K 51.684 * [backup-simplify]: Simplify 1/2 into 1/2 51.684 * [taylor]: Taking taylor expansion of K in K 51.684 * [backup-simplify]: Simplify 0 into 0 51.684 * [backup-simplify]: Simplify 1 into 1 51.684 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 51.684 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.684 * [taylor]: Taking taylor expansion of J in K 51.684 * [backup-simplify]: Simplify J into J 51.684 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 51.684 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 51.684 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 51.684 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 51.684 * [taylor]: Taking taylor expansion of 1/2 in J 51.684 * [backup-simplify]: Simplify 1/2 into 1/2 51.684 * [taylor]: Taking taylor expansion of K in J 51.684 * [backup-simplify]: Simplify K into K 51.684 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 51.684 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.684 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 51.684 * [taylor]: Taking taylor expansion of J in J 51.684 * [backup-simplify]: Simplify 0 into 0 51.684 * [backup-simplify]: Simplify 1 into 1 51.685 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 51.685 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 51.685 * [backup-simplify]: Simplify (- 0) into 0 51.685 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 51.685 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 51.685 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 51.685 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 51.685 * [taylor]: Taking taylor expansion of 0 in J 51.685 * [backup-simplify]: Simplify 0 into 0 51.685 * [backup-simplify]: Simplify (+ 0) into 0 51.686 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 51.686 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 51.686 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.687 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 51.687 * [backup-simplify]: Simplify (- 0) into 0 51.687 * [backup-simplify]: Simplify (+ 0 0) into 0 51.688 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 51.688 * [backup-simplify]: Simplify 0 into 0 51.688 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) 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 (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 51.690 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 51.690 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 51.691 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 51.691 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 51.692 * [backup-simplify]: Simplify (- 0) into 0 51.692 * [backup-simplify]: Simplify (+ 0 0) into 0 51.694 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.694 * [backup-simplify]: Simplify 0 into 0 51.694 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 51.694 * [taylor]: Taking taylor expansion of 0 in J 51.694 * [backup-simplify]: Simplify 0 into 0 51.694 * [backup-simplify]: Simplify 0 into 0 51.694 * [backup-simplify]: Simplify 0 into 0 51.695 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 51.700 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 51.701 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 51.703 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 51.704 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 51.704 * [backup-simplify]: Simplify (- 0) into 0 51.704 * [backup-simplify]: Simplify (+ 0 0) into 0 51.706 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.706 * [backup-simplify]: Simplify 0 into 0 51.707 * [backup-simplify]: Simplify (* (cos (/ 1/2 (/ 1 K))) (* (/ 1 (/ 1 J)) 1)) into (* (cos (* 1/2 K)) J) 51.707 * [backup-simplify]: Simplify (* (cos (* 1/2 (/ 1 (- K)))) (/ 1 (- J))) into (* -1 (/ (cos (/ -1/2 K)) J)) 51.707 * [approximate]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 K)) J)) in (K J) around 0 51.707 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 K)) J)) in J 51.707 * [taylor]: Taking taylor expansion of -1 in J 51.707 * [backup-simplify]: Simplify -1 into -1 51.707 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 51.707 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 51.707 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 51.707 * [taylor]: Taking taylor expansion of -1/2 in J 51.707 * [backup-simplify]: Simplify -1/2 into -1/2 51.707 * [taylor]: Taking taylor expansion of K in J 51.707 * [backup-simplify]: Simplify K into K 51.707 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 51.707 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.707 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 51.707 * [taylor]: Taking taylor expansion of J in J 51.707 * [backup-simplify]: Simplify 0 into 0 51.707 * [backup-simplify]: Simplify 1 into 1 51.708 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 51.708 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 51.708 * [backup-simplify]: Simplify (- 0) into 0 51.708 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 51.708 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 51.708 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 K)) J)) in K 51.708 * [taylor]: Taking taylor expansion of -1 in K 51.708 * [backup-simplify]: Simplify -1 into -1 51.708 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 51.708 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 51.708 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 51.708 * [taylor]: Taking taylor expansion of -1/2 in K 51.708 * [backup-simplify]: Simplify -1/2 into -1/2 51.709 * [taylor]: Taking taylor expansion of K in K 51.709 * [backup-simplify]: Simplify 0 into 0 51.709 * [backup-simplify]: Simplify 1 into 1 51.709 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 51.709 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.709 * [taylor]: Taking taylor expansion of J in K 51.709 * [backup-simplify]: Simplify J into J 51.709 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 51.709 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 K)) J)) in K 51.709 * [taylor]: Taking taylor expansion of -1 in K 51.709 * [backup-simplify]: Simplify -1 into -1 51.709 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 51.709 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 51.709 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 51.709 * [taylor]: Taking taylor expansion of -1/2 in K 51.709 * [backup-simplify]: Simplify -1/2 into -1/2 51.710 * [taylor]: Taking taylor expansion of K in K 51.710 * [backup-simplify]: Simplify 0 into 0 51.710 * [backup-simplify]: Simplify 1 into 1 51.710 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 51.710 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.710 * [taylor]: Taking taylor expansion of J in K 51.710 * [backup-simplify]: Simplify J into J 51.710 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 51.711 * [backup-simplify]: Simplify (* -1 (/ (cos (/ -1/2 K)) J)) into (* -1 (/ (cos (/ -1/2 K)) J)) 51.711 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 K)) J)) in J 51.711 * [taylor]: Taking taylor expansion of -1 in J 51.711 * [backup-simplify]: Simplify -1 into -1 51.711 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 51.711 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 51.711 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 51.711 * [taylor]: Taking taylor expansion of -1/2 in J 51.711 * [backup-simplify]: Simplify -1/2 into -1/2 51.711 * [taylor]: Taking taylor expansion of K in J 51.711 * [backup-simplify]: Simplify K into K 51.711 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 51.711 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 51.711 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 51.711 * [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 (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 51.711 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 51.712 * [backup-simplify]: Simplify (- 0) into 0 51.712 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 51.712 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 51.712 * [backup-simplify]: Simplify (* -1 (cos (/ -1/2 K))) into (* -1 (cos (/ -1/2 K))) 51.712 * [backup-simplify]: Simplify (* -1 (cos (/ -1/2 K))) into (* -1 (cos (/ -1/2 K))) 51.712 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0 51.712 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (cos (/ -1/2 K)) J))) into 0 51.713 * [taylor]: Taking taylor expansion of 0 in J 51.713 * [backup-simplify]: Simplify 0 into 0 51.713 * [backup-simplify]: Simplify (+ 0) into 0 51.713 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 51.713 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 51.714 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 51.714 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 51.714 * [backup-simplify]: Simplify (- 0) into 0 51.714 * [backup-simplify]: Simplify (+ 0 0) into 0 51.715 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 51.715 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cos (/ -1/2 K)))) into 0 51.715 * [backup-simplify]: Simplify 0 into 0 51.716 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 51.716 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (cos (/ -1/2 K)) J)))) into 0 51.716 * [taylor]: Taking taylor expansion of 0 in J 51.716 * [backup-simplify]: Simplify 0 into 0 51.716 * [backup-simplify]: Simplify 0 into 0 51.717 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 51.717 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 51.718 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 51.718 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 51.718 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 51.719 * [backup-simplify]: Simplify (- 0) into 0 51.719 * [backup-simplify]: Simplify (+ 0 0) into 0 51.720 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.720 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 51.720 * [backup-simplify]: Simplify 0 into 0 51.720 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 51.721 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ -1/2 K)) 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 51.721 * [backup-simplify]: Simplify 0 into 0 51.722 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 51.722 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 51.723 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 51.723 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 51.724 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 51.724 * [backup-simplify]: Simplify (- 0) into 0 51.724 * [backup-simplify]: Simplify (+ 0 0) into 0 51.726 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.726 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 51.726 * [backup-simplify]: Simplify 0 into 0 51.727 * [backup-simplify]: Simplify (* (* -1 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (/ 1 (- J))) 1)) into (* (cos (* 1/2 K)) J) 51.727 * * * [progress]: simplifying candidates 51.727 * * * * [progress]: [ 1 / 143 ] simplifiying candidate # 51.727 * * * * [progress]: [ 2 / 143 ] simplifiying candidate # 51.727 * * * * [progress]: [ 3 / 143 ] simplifiying candidate # 51.727 * * * * [progress]: [ 4 / 143 ] simplifiying candidate # 51.727 * * * * [progress]: [ 5 / 143 ] simplifiying candidate # 51.727 * * * * [progress]: [ 6 / 143 ] simplifiying candidate # 51.727 * * * * [progress]: [ 7 / 143 ] simplifiying candidate # 51.727 * [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)))) 51.727 * * [simplify]: iters left: 6 (15 enodes) 51.731 * * [simplify]: iters left: 5 (59 enodes) 51.743 * * [simplify]: iters left: 4 (112 enodes) 51.777 * * [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 121 inf + 1 52.028 * * [simplify]: Extracting #5: cost 240 inf + 89 52.031 * * [simplify]: Extracting #6: cost 202 inf + 3666 52.038 * * [simplify]: Extracting #7: cost 127 inf + 17960 52.061 * * [simplify]: Extracting #8: cost 13 inf + 45665 52.075 * * [simplify]: Extracting #9: cost 0 inf + 48778 52.097 * [simplify]: Simplified to (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) 52.097 * [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 (* 1/2 K)) J))) 52.098 * * * * [progress]: [ 8 / 143 ] simplifiying candidate # 52.098 * [simplify]: Simplifying (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) 52.098 * * [simplify]: iters left: 6 (14 enodes) 52.105 * * [simplify]: iters left: 5 (55 enodes) 52.124 * * [simplify]: iters left: 4 (108 enodes) 52.181 * * [simplify]: iters left: 3 (363 enodes) 52.422 * * [simplify]: Extracting #0: cost 1 inf + 0 52.422 * * [simplify]: Extracting #1: cost 3 inf + 0 52.422 * * [simplify]: Extracting #2: cost 5 inf + 0 52.422 * * [simplify]: Extracting #3: cost 8 inf + 0 52.422 * * [simplify]: Extracting #4: cost 123 inf + 1 52.425 * * [simplify]: Extracting #5: cost 233 inf + 420 52.428 * * [simplify]: Extracting #6: cost 202 inf + 3094 52.436 * * [simplify]: Extracting #7: cost 126 inf + 18949 52.462 * * [simplify]: Extracting #8: cost 7 inf + 46677 52.491 * * [simplify]: Extracting #9: cost 0 inf + 48049 52.520 * [simplify]: Simplified to (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 52.520 * [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 (* 1/2 K)) J))) 52.520 * * * * [progress]: [ 9 / 143 ] simplifiying candidate # 52.521 * [simplify]: Simplifying (sqrt 1) 52.521 * * [simplify]: iters left: 1 (2 enodes) 52.523 * * [simplify]: Extracting #0: cost 1 inf + 0 52.523 * * [simplify]: Extracting #1: cost 0 inf + 1 52.523 * [simplify]: Simplified to 1 52.523 * [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 (* 1/2 K)) J))) 52.523 * * * * [progress]: [ 10 / 143 ] simplifiying candidate # 52.524 * [simplify]: Simplifying (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3))) 52.524 * * [simplify]: iters left: 6 (16 enodes) 52.529 * * [simplify]: iters left: 5 (70 enodes) 52.544 * * [simplify]: iters left: 4 (176 enodes) 52.696 * * [simplify]: Extracting #0: cost 1 inf + 0 52.696 * * [simplify]: Extracting #1: cost 3 inf + 0 52.696 * * [simplify]: Extracting #2: cost 6 inf + 0 52.696 * * [simplify]: Extracting #3: cost 103 inf + 1 52.697 * * [simplify]: Extracting #4: cost 306 inf + 6 52.698 * * [simplify]: Extracting #5: cost 338 inf + 1810 52.703 * * [simplify]: Extracting #6: cost 242 inf + 27932 52.724 * * [simplify]: Extracting #7: cost 28 inf + 100762 52.755 * * [simplify]: Extracting #8: cost 0 inf + 110036 52.790 * [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))))))) 52.790 * [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 (* 1/2 K)) J))) 52.790 * * * * [progress]: [ 11 / 143 ] simplifiying candidate # 52.791 * [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))) 52.791 * * [simplify]: iters left: 6 (15 enodes) 52.800 * * [simplify]: iters left: 5 (62 enodes) 52.824 * * [simplify]: iters left: 4 (150 enodes) 52.914 * * [simplify]: Extracting #0: cost 1 inf + 0 52.914 * * [simplify]: Extracting #1: cost 3 inf + 0 52.914 * * [simplify]: Extracting #2: cost 9 inf + 0 52.915 * * [simplify]: Extracting #3: cost 105 inf + 2 52.915 * * [simplify]: Extracting #4: cost 286 inf + 6 52.922 * * [simplify]: Extracting #5: cost 280 inf + 1923 52.931 * * [simplify]: Extracting #6: cost 190 inf + 25494 52.956 * * [simplify]: Extracting #7: cost 26 inf + 76271 52.974 * * [simplify]: Extracting #8: cost 0 inf + 85028 53.007 * [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)) 53.007 * [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 (* 1/2 K)) J))) 53.007 * * * * [progress]: [ 12 / 143 ] simplifiying candidate # 53.008 * [simplify]: Simplifying (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 53.008 * * [simplify]: iters left: 6 (12 enodes) 53.015 * * [simplify]: iters left: 5 (49 enodes) 53.032 * * [simplify]: iters left: 4 (102 enodes) 53.063 * * [simplify]: iters left: 3 (356 enodes) 53.321 * * [simplify]: Extracting #0: cost 1 inf + 0 53.321 * * [simplify]: Extracting #1: cost 4 inf + 0 53.321 * * [simplify]: Extracting #2: cost 116 inf + 1 53.322 * * [simplify]: Extracting #3: cost 233 inf + 254 53.324 * * [simplify]: Extracting #4: cost 191 inf + 4198 53.329 * * [simplify]: Extracting #5: cost 121 inf + 19052 53.348 * * [simplify]: Extracting #6: cost 5 inf + 46127 53.377 * * [simplify]: Extracting #7: cost 0 inf + 46934 53.410 * * [simplify]: Extracting #8: cost 0 inf + 46815 53.439 * [simplify]: Simplified to (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 53.440 * [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 (* 1/2 K)) J))) 53.440 * * * * [progress]: [ 13 / 143 ] simplifiying candidate # 53.440 * * * * [progress]: [ 14 / 143 ] 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) 53.467 * * [simplify]: iters left: 4 (105 enodes) 53.503 * * [simplify]: iters left: 3 (359 enodes) 53.727 * * [simplify]: Extracting #0: cost 1 inf + 0 53.727 * * [simplify]: Extracting #1: cost 3 inf + 0 53.727 * * [simplify]: Extracting #2: cost 6 inf + 0 53.727 * * [simplify]: Extracting #3: cost 117 inf + 1 53.728 * * [simplify]: Extracting #4: cost 234 inf + 336 53.730 * * [simplify]: Extracting #5: cost 191 inf + 4484 53.734 * * [simplify]: Extracting #6: cost 119 inf + 19165 53.754 * * [simplify]: Extracting #7: cost 7 inf + 45857 53.783 * * [simplify]: Extracting #8: cost 0 inf + 47305 53.808 * [simplify]: Simplified to (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 53.808 * [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 (* 1/2 K)) J))) 53.808 * * * * [progress]: [ 15 / 143 ] simplifiying candidate # 53.808 * * * * [progress]: [ 16 / 143 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (* 1/2 K)) J)))> 53.809 * * * * [progress]: [ 17 / 143 ] simplifiying candidate # 53.809 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (* 1/2 K)) J)) 53.809 * * [simplify]: iters left: 6 (20 enodes) 53.815 * * [simplify]: iters left: 5 (81 enodes) 53.829 * * [simplify]: iters left: 4 (157 enodes) 53.874 * * [simplify]: iters left: 3 (447 enodes) 54.217 * * [simplify]: Extracting #0: cost 1 inf + 0 54.217 * * [simplify]: Extracting #1: cost 16 inf + 0 54.217 * * [simplify]: Extracting #2: cost 28 inf + 2 54.217 * * [simplify]: Extracting #3: cost 32 inf + 86 54.218 * * [simplify]: Extracting #4: cost 141 inf + 131 54.220 * * [simplify]: Extracting #5: cost 251 inf + 1140 54.224 * * [simplify]: Extracting #6: cost 160 inf + 16726 54.238 * * [simplify]: Extracting #7: cost 16 inf + 49626 54.263 * * [simplify]: Extracting #8: cost 2 inf + 54617 54.297 * * [simplify]: Extracting #9: cost 0 inf + 55450 54.336 * [simplify]: Simplified to (* (* -2 (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* J (cos (* 1/2 K)))) 54.336 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* -2 (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* J (cos (* 1/2 K)))) 1)) 54.337 * * * * [progress]: [ 18 / 143 ] simplifiying candidate # 54.337 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (* 1/2 K)) J)) 54.337 * * [simplify]: iters left: 6 (20 enodes) 54.348 * * [simplify]: iters left: 5 (81 enodes) 54.367 * * [simplify]: iters left: 4 (157 enodes) 54.421 * * [simplify]: iters left: 3 (447 enodes) 54.719 * * [simplify]: Extracting #0: cost 1 inf + 0 54.720 * * [simplify]: Extracting #1: cost 16 inf + 0 54.720 * * [simplify]: Extracting #2: cost 28 inf + 2 54.720 * * [simplify]: Extracting #3: cost 32 inf + 86 54.720 * * [simplify]: Extracting #4: cost 141 inf + 131 54.722 * * [simplify]: Extracting #5: cost 251 inf + 1140 54.726 * * [simplify]: Extracting #6: cost 160 inf + 16726 54.740 * * [simplify]: Extracting #7: cost 16 inf + 49626 54.774 * * [simplify]: Extracting #8: cost 2 inf + 54617 54.796 * * [simplify]: Extracting #9: cost 0 inf + 55450 54.819 * [simplify]: Simplified to (* (* -2 (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* J (cos (* 1/2 K)))) 54.819 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* -2 (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* J (cos (* 1/2 K)))) 1)) 54.819 * * * * [progress]: [ 19 / 143 ] simplifiying candidate # 54.820 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (* 1/2 K)) J)) 54.820 * * [simplify]: iters left: 6 (20 enodes) 54.826 * * [simplify]: iters left: 5 (81 enodes) 54.841 * * [simplify]: iters left: 4 (157 enodes) 54.892 * * [simplify]: iters left: 3 (447 enodes) 55.201 * * [simplify]: Extracting #0: cost 1 inf + 0 55.201 * * [simplify]: Extracting #1: cost 16 inf + 0 55.202 * * [simplify]: Extracting #2: cost 28 inf + 2 55.202 * * [simplify]: Extracting #3: cost 32 inf + 86 55.202 * * [simplify]: Extracting #4: cost 141 inf + 131 55.205 * * [simplify]: Extracting #5: cost 251 inf + 1140 55.212 * * [simplify]: Extracting #6: cost 160 inf + 16726 55.234 * * [simplify]: Extracting #7: cost 16 inf + 49626 55.251 * * [simplify]: Extracting #8: cost 2 inf + 54617 55.268 * * [simplify]: Extracting #9: cost 0 inf + 55450 55.286 * [simplify]: Simplified to (* (* -2 (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* J (cos (* 1/2 K)))) 55.286 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* -2 (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* J (cos (* 1/2 K)))) 1)) 55.286 * * * * [progress]: [ 20 / 143 ] simplifiying candidate # 55.286 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (* 1/2 K)) J)) 55.286 * * [simplify]: iters left: 6 (20 enodes) 55.292 * * [simplify]: iters left: 5 (81 enodes) 55.307 * * [simplify]: iters left: 4 (157 enodes) 55.358 * * [simplify]: iters left: 3 (447 enodes) 55.635 * * [simplify]: Extracting #0: cost 1 inf + 0 55.635 * * [simplify]: Extracting #1: cost 16 inf + 0 55.635 * * [simplify]: Extracting #2: cost 28 inf + 2 55.636 * * [simplify]: Extracting #3: cost 32 inf + 86 55.636 * * [simplify]: Extracting #4: cost 141 inf + 131 55.639 * * [simplify]: Extracting #5: cost 251 inf + 1140 55.646 * * [simplify]: Extracting #6: cost 160 inf + 16726 55.675 * * [simplify]: Extracting #7: cost 16 inf + 49626 55.708 * * [simplify]: Extracting #8: cost 2 inf + 54617 55.725 * * [simplify]: Extracting #9: cost 0 inf + 55450 55.755 * [simplify]: Simplified to (* (* -2 (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* J (cos (* 1/2 K)))) 55.755 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* -2 (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* J (cos (* 1/2 K)))) 1)) 55.755 * * * * [progress]: [ 21 / 143 ] simplifiying candidate # 55.755 * * * * [progress]: [ 22 / 143 ] simplifiying candidate # 55.755 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (+ (log (cos (* 1/2 K))) (log J))) 55.756 * * [simplify]: iters left: 6 (24 enodes) 55.769 * * [simplify]: iters left: 5 (93 enodes) 55.801 * * [simplify]: iters left: 4 (169 enodes) 55.851 * * [simplify]: iters left: 3 (459 enodes) 56.190 * * [simplify]: Extracting #0: cost 1 inf + 0 56.190 * * [simplify]: Extracting #1: cost 16 inf + 0 56.190 * * [simplify]: Extracting #2: cost 34 inf + 0 56.190 * * [simplify]: Extracting #3: cost 35 inf + 73 56.191 * * [simplify]: Extracting #4: cost 38 inf + 286 56.191 * * [simplify]: Extracting #5: cost 145 inf + 653 56.194 * * [simplify]: Extracting #6: cost 258 inf + 1113 56.202 * * [simplify]: Extracting #7: cost 161 inf + 18287 56.231 * * [simplify]: Extracting #8: cost 14 inf + 56886 56.273 * * [simplify]: Extracting #9: cost 0 inf + 60095 56.309 * * [simplify]: Extracting #10: cost 0 inf + 60094 56.345 * [simplify]: Simplified to (+ (+ (log -2) (log (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (+ (log (cos (* 1/2 K))) (log J))) 56.345 * [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 (* 1/2 K))) (log J))))) 56.345 * * * * [progress]: [ 23 / 143 ] simplifiying candidate # 56.346 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (log (* (cos (* 1/2 K)) J))) 56.346 * * [simplify]: iters left: 6 (23 enodes) 56.358 * * [simplify]: iters left: 5 (91 enodes) 56.373 * * [simplify]: iters left: 4 (163 enodes) 56.427 * * [simplify]: iters left: 3 (451 enodes) 56.726 * * [simplify]: Extracting #0: cost 1 inf + 0 56.726 * * [simplify]: Extracting #1: cost 16 inf + 0 56.726 * * [simplify]: Extracting #2: cost 35 inf + 0 56.727 * * [simplify]: Extracting #3: cost 35 inf + 215 56.727 * * [simplify]: Extracting #4: cost 39 inf + 468 56.728 * * [simplify]: Extracting #5: cost 151 inf + 653 56.731 * * [simplify]: Extracting #6: cost 259 inf + 1194 56.737 * * [simplify]: Extracting #7: cost 155 inf + 19301 56.755 * * [simplify]: Extracting #8: cost 14 inf + 55957 56.782 * * [simplify]: Extracting #9: cost 0 inf + 60501 56.809 * [simplify]: Simplified to (+ (log (* J (cos (* 1/2 K)))) (+ (log -2) (log (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) 56.809 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log (* J (cos (* 1/2 K)))) (+ (log -2) (log (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))) 56.810 * * * * [progress]: [ 24 / 143 ] simplifiying candidate # 56.810 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (+ (log (cos (* 1/2 K))) (log J))) 56.810 * * [simplify]: iters left: 6 (23 enodes) 56.817 * * [simplify]: iters left: 5 (91 enodes) 56.833 * * [simplify]: iters left: 4 (163 enodes) 56.879 * * [simplify]: iters left: 3 (451 enodes) 57.159 * * [simplify]: Extracting #0: cost 1 inf + 0 57.159 * * [simplify]: Extracting #1: cost 16 inf + 0 57.159 * * [simplify]: Extracting #2: cost 35 inf + 0 57.159 * * [simplify]: Extracting #3: cost 38 inf + 2 57.159 * * [simplify]: Extracting #4: cost 42 inf + 144 57.160 * * [simplify]: Extracting #5: cost 152 inf + 471 57.161 * * [simplify]: Extracting #6: cost 258 inf + 1215 57.169 * * [simplify]: Extracting #7: cost 151 inf + 21345 57.186 * * [simplify]: Extracting #8: cost 11 inf + 57681 57.222 * * [simplify]: Extracting #9: cost 0 inf + 61067 57.258 * * [simplify]: Extracting #10: cost 0 inf + 61027 57.294 * [simplify]: Simplified to (+ (+ (log J) (log (cos (* K 1/2)))) (log (* -2 (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) 57.294 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (log J) (log (cos (* K 1/2)))) (log (* -2 (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))) 57.294 * * * * [progress]: [ 25 / 143 ] simplifiying candidate # 57.294 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (log (* (cos (* 1/2 K)) J))) 57.295 * * [simplify]: iters left: 6 (22 enodes) 57.308 * * [simplify]: iters left: 5 (89 enodes) 57.337 * * [simplify]: iters left: 4 (160 enodes) 57.377 * * [simplify]: iters left: 3 (446 enodes) 57.631 * * [simplify]: Extracting #0: cost 1 inf + 0 57.631 * * [simplify]: Extracting #1: cost 16 inf + 0 57.631 * * [simplify]: Extracting #2: cost 36 inf + 0 57.631 * * [simplify]: Extracting #3: cost 40 inf + 2 57.631 * * [simplify]: Extracting #4: cost 41 inf + 468 57.632 * * [simplify]: Extracting #5: cost 152 inf + 653 57.633 * * [simplify]: Extracting #6: cost 259 inf + 1594 57.637 * * [simplify]: Extracting #7: cost 152 inf + 21288 57.654 * * [simplify]: Extracting #8: cost 13 inf + 56261 57.672 * * [simplify]: Extracting #9: cost 0 inf + 60901 57.695 * * [simplify]: Extracting #10: cost 0 inf + 60899 57.718 * [simplify]: Simplified to (+ (log (* -2 (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) (log (* J (cos (* K 1/2))))) 57.719 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log (* -2 (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) (log (* J (cos (* K 1/2))))))) 57.719 * * * * [progress]: [ 26 / 143 ] simplifiying candidate # 57.719 * * * * [progress]: [ 27 / 143 ] simplifiying candidate # 57.719 * * * * [progress]: [ 28 / 143 ] simplifiying candidate # 57.719 * [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 (* 1/2 K)) (cos (* 1/2 K))) (cos (* 1/2 K))) (* (* J J) J))) 57.720 * * [simplify]: iters left: 6 (28 enodes) 57.732 * * [simplify]: iters left: 5 (116 enodes) 57.757 * * [simplify]: iters left: 4 (301 enodes) 57.940 * * [simplify]: Extracting #0: cost 1 inf + 0 57.940 * * [simplify]: Extracting #1: cost 71 inf + 0 57.942 * * [simplify]: Extracting #2: cost 284 inf + 45 57.944 * * [simplify]: Extracting #3: cost 380 inf + 541 57.952 * * [simplify]: Extracting #4: cost 418 inf + 2437 57.964 * * [simplify]: Extracting #5: cost 300 inf + 34901 57.987 * * [simplify]: Extracting #6: cost 88 inf + 118164 58.037 * * [simplify]: Extracting #7: cost 2 inf + 159267 58.088 * * [simplify]: Extracting #8: cost 0 inf + 160259 58.146 * [simplify]: Simplified to (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) -8) (* (* J (cos (* 1/2 K))) (* (* J (cos (* 1/2 K))) (* J (cos (* 1/2 K))))))) 58.146 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) -8) (* (* J (cos (* 1/2 K))) (* (* J (cos (* 1/2 K))) (* J (cos (* 1/2 K))))))))) 58.146 * * * * [progress]: [ 29 / 143 ] simplifiying candidate # 58.147 * [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 (* 1/2 K)) J) (* (cos (* 1/2 K)) J)) (* (cos (* 1/2 K)) J))) 58.147 * * [simplify]: iters left: 6 (26 enodes) 58.163 * * [simplify]: iters left: 5 (114 enodes) 58.206 * * [simplify]: iters left: 4 (308 enodes) 58.398 * * [simplify]: Extracting #0: cost 1 inf + 0 58.398 * * [simplify]: Extracting #1: cost 61 inf + 0 58.399 * * [simplify]: Extracting #2: cost 295 inf + 4 58.401 * * [simplify]: Extracting #3: cost 385 inf + 708 58.403 * * [simplify]: Extracting #4: cost 436 inf + 1258 58.409 * * [simplify]: Extracting #5: cost 305 inf + 34246 58.437 * * [simplify]: Extracting #6: cost 94 inf + 114273 58.506 * * [simplify]: Extracting #7: cost 3 inf + 163804 58.583 * * [simplify]: Extracting #8: cost 0 inf + 165099 58.661 * [simplify]: Simplified to (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (* (* J (cos (* 1/2 K))) (* J (cos (* 1/2 K)))) (* (* J (cos (* 1/2 K))) (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) -8)) 58.661 * [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 (* 1/2 K))) (* J (cos (* 1/2 K)))) (* (* J (cos (* 1/2 K))) (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) -8)))) 58.662 * * * * [progress]: [ 30 / 143 ] simplifiying candidate # 58.662 * [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 (* 1/2 K)) (cos (* 1/2 K))) (cos (* 1/2 K))) (* (* J J) J))) 58.662 * * [simplify]: iters left: 6 (26 enodes) 58.671 * * [simplify]: iters left: 5 (116 enodes) 58.701 * * [simplify]: iters left: 4 (283 enodes) 58.841 * * [simplify]: Extracting #0: cost 1 inf + 0 58.841 * * [simplify]: Extracting #1: cost 72 inf + 0 58.842 * * [simplify]: Extracting #2: cost 245 inf + 44 58.844 * * [simplify]: Extracting #3: cost 298 inf + 335 58.848 * * [simplify]: Extracting #4: cost 348 inf + 1086 58.865 * * [simplify]: Extracting #5: cost 189 inf + 58073 58.918 * * [simplify]: Extracting #6: cost 15 inf + 141274 58.999 * * [simplify]: Extracting #7: cost 0 inf + 145553 59.054 * * [simplify]: Extracting #8: cost 0 inf + 143193 59.105 * * [simplify]: Extracting #9: cost 0 inf + 143033 59.183 * [simplify]: Simplified to (* (* (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) -8) (* (* (* J (cos (* 1/2 K))) (* (* J (cos (* 1/2 K))) (* J (cos (* 1/2 K))))) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) 59.183 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) -8) (* (* (* J (cos (* 1/2 K))) (* (* J (cos (* 1/2 K))) (* J (cos (* 1/2 K))))) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))) 59.183 * * * * [progress]: [ 31 / 143 ] simplifiying candidate # 59.184 * [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 (* 1/2 K)) J) (* (cos (* 1/2 K)) J)) (* (cos (* 1/2 K)) J))) 59.184 * * [simplify]: iters left: 6 (24 enodes) 59.200 * * [simplify]: iters left: 5 (114 enodes) 59.224 * * [simplify]: iters left: 4 (290 enodes) 59.386 * * [simplify]: Extracting #0: cost 1 inf + 0 59.386 * * [simplify]: Extracting #1: cost 77 inf + 0 59.387 * * [simplify]: Extracting #2: cost 260 inf + 44 59.388 * * [simplify]: Extracting #3: cost 308 inf + 628 59.389 * * [simplify]: Extracting #4: cost 362 inf + 883 59.395 * * [simplify]: Extracting #5: cost 262 inf + 27662 59.412 * * [simplify]: Extracting #6: cost 126 inf + 80187 59.463 * * [simplify]: Extracting #7: cost 11 inf + 144094 59.542 * * [simplify]: Extracting #8: cost 0 inf + 151029 59.584 * [simplify]: Simplified to (* (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)))))) (* (* J (cos (* 1/2 K))) (* (* J (cos (* 1/2 K))) (* J (cos (* 1/2 K))))))) 59.584 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (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)))))) (* (* J (cos (* 1/2 K))) (* (* J (cos (* 1/2 K))) (* J (cos (* 1/2 K))))))))) 59.584 * * * * [progress]: [ 32 / 143 ] simplifiying candidate # 59.584 * * * * [progress]: [ 33 / 143 ] simplifiying candidate # 59.584 * * * * [progress]: [ 34 / 143 ] simplifiying candidate # 59.584 * * * * [progress]: [ 35 / 143 ] simplifiying candidate # 59.584 * * * * [progress]: [ 36 / 143 ] simplifiying candidate # 59.584 * * * * [progress]: [ 37 / 143 ] simplifiying candidate # 59.584 * [simplify]: Simplifying (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 59.585 * * [simplify]: iters left: 6 (13 enodes) 59.588 * * [simplify]: iters left: 5 (52 enodes) 59.597 * * [simplify]: iters left: 4 (105 enodes) 59.633 * * [simplify]: iters left: 3 (359 enodes) 59.879 * * [simplify]: Extracting #0: cost 1 inf + 0 59.879 * * [simplify]: Extracting #1: cost 3 inf + 0 59.879 * * [simplify]: Extracting #2: cost 6 inf + 0 59.880 * * [simplify]: Extracting #3: cost 117 inf + 1 59.882 * * [simplify]: Extracting #4: cost 234 inf + 336 59.885 * * [simplify]: Extracting #5: cost 191 inf + 4484 59.892 * * [simplify]: Extracting #6: cost 119 inf + 19165 59.906 * * [simplify]: Extracting #7: cost 7 inf + 45857 59.920 * * [simplify]: Extracting #8: cost 0 inf + 47305 59.947 * [simplify]: Simplified to (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 59.948 * [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 (* 1/2 K)) J)))) 59.948 * * * * [progress]: [ 38 / 143 ] simplifiying candidate # 59.948 * [simplify]: Simplifying (* (* (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3))) -2) (* (cos (* 1/2 K)) J)) 59.949 * * [simplify]: iters left: 6 (23 enodes) 59.963 * * [simplify]: iters left: 5 (99 enodes) 60.002 * * [simplify]: iters left: 4 (226 enodes) 60.139 * * [simplify]: Extracting #0: cost 1 inf + 0 60.139 * * [simplify]: Extracting #1: cost 16 inf + 0 60.139 * * [simplify]: Extracting #2: cost 27 inf + 44 60.139 * * [simplify]: Extracting #3: cost 32 inf + 86 60.140 * * [simplify]: Extracting #4: cost 133 inf + 89 60.142 * * [simplify]: Extracting #5: cost 339 inf + 633 60.149 * * [simplify]: Extracting #6: cost 289 inf + 21614 60.184 * * [simplify]: Extracting #7: cost 46 inf + 105093 60.211 * * [simplify]: Extracting #8: cost 0 inf + 122764 60.268 * * [simplify]: Extracting #9: cost 0 inf + 121887 60.326 * [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))))))) (* J (cos (* K 1/2)))) -2) 60.326 * [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))))))) (* J (cos (* K 1/2)))) -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)))))) 60.326 * * * * [progress]: [ 39 / 143 ] simplifiying candidate # 60.327 * [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 (* 1/2 K)) J)) 60.327 * * [simplify]: iters left: 6 (22 enodes) 60.340 * * [simplify]: iters left: 5 (91 enodes) 60.373 * * [simplify]: iters left: 4 (204 enodes) 60.539 * * [simplify]: Extracting #0: cost 1 inf + 0 60.539 * * [simplify]: Extracting #1: cost 16 inf + 0 60.539 * * [simplify]: Extracting #2: cost 28 inf + 2 60.539 * * [simplify]: Extracting #3: cost 35 inf + 86 60.540 * * [simplify]: Extracting #4: cost 128 inf + 90 60.542 * * [simplify]: Extracting #5: cost 312 inf + 385 60.548 * * [simplify]: Extracting #6: cost 254 inf + 15967 60.578 * * [simplify]: Extracting #7: cost 40 inf + 83166 60.613 * * [simplify]: Extracting #8: cost 0 inf + 96505 60.635 * [simplify]: Simplified to (* (* -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))) (* J (cos (* 1/2 K)))) 60.635 * [simplify]: Simplified (2 1) to (λ (J K U) (/ (* (* -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))) (* J (cos (* 1/2 K)))) (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) 60.635 * * * * [progress]: [ 40 / 143 ] simplifiying candidate #real (real->posit16 (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (* 1/2 K)) J)))))> 60.635 * * * * [progress]: [ 41 / 143 ] simplifiying candidate # 60.635 * * * * [progress]: [ 42 / 143 ] simplifiying candidate # 60.635 * [simplify]: Simplifying (/ U (* 2 (* (cos (/ K 2)) J))) 60.636 * * [simplify]: iters left: 6 (9 enodes) 60.638 * * [simplify]: iters left: 5 (33 enodes) 60.646 * * [simplify]: iters left: 4 (51 enodes) 60.662 * * [simplify]: iters left: 3 (68 enodes) 60.679 * * [simplify]: iters left: 2 (73 enodes) 60.696 * * [simplify]: Extracting #0: cost 1 inf + 0 60.697 * * [simplify]: Extracting #1: cost 12 inf + 0 60.697 * * [simplify]: Extracting #2: cost 21 inf + 3 60.697 * * [simplify]: Extracting #3: cost 21 inf + 337 60.697 * * [simplify]: Extracting #4: cost 12 inf + 1158 60.699 * * [simplify]: Extracting #5: cost 0 inf + 3114 60.700 * [simplify]: Simplified to (/ (/ U (* J 2)) (cos (/ K 2))) 60.700 * [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 (* 1/2 K)) J))) 60.701 * [simplify]: Simplifying (+ 1 1) 60.701 * * [simplify]: iters left: 2 (2 enodes) 60.703 * * [simplify]: iters left: 1 (9 enodes) 60.706 * * [simplify]: Extracting #0: cost 1 inf + 0 60.706 * * [simplify]: Extracting #1: cost 0 inf + 1 60.706 * [simplify]: Simplified to 2 60.706 * [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 (* 1/2 K)) J))) 60.706 * * * * [progress]: [ 43 / 143 ] simplifiying candidate # 60.707 * [simplify]: Simplifying (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 60.707 * * [simplify]: iters left: 6 (10 enodes) 60.712 * * [simplify]: iters left: 5 (40 enodes) 60.728 * * [simplify]: iters left: 4 (91 enodes) 60.768 * * [simplify]: iters left: 3 (345 enodes) 61.031 * * [simplify]: Extracting #0: cost 1 inf + 0 61.031 * * [simplify]: Extracting #1: cost 118 inf + 0 61.033 * * [simplify]: Extracting #2: cost 235 inf + 45 61.036 * * [simplify]: Extracting #3: cost 206 inf + 2474 61.041 * * [simplify]: Extracting #4: cost 104 inf + 22209 61.055 * * [simplify]: Extracting #5: cost 6 inf + 45227 61.075 * * [simplify]: Extracting #6: cost 0 inf + 46605 61.104 * * [simplify]: Extracting #7: cost 0 inf + 46604 61.132 * [simplify]: Simplified to (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) 61.132 * [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 (* 1/2 K)) J))) 61.132 * * * * [progress]: [ 44 / 143 ] simplifiying candidate # 61.132 * * * * [progress]: [ 45 / 143 ] simplifiying candidate # 61.133 * [simplify]: Simplifying (/ U (* 2 (* (cos (/ K 2)) J))) 61.133 * * [simplify]: iters left: 6 (9 enodes) 61.138 * * [simplify]: iters left: 5 (33 enodes) 61.149 * * [simplify]: iters left: 4 (51 enodes) 61.164 * * [simplify]: iters left: 3 (68 enodes) 61.181 * * [simplify]: iters left: 2 (73 enodes) 61.198 * * [simplify]: Extracting #0: cost 1 inf + 0 61.198 * * [simplify]: Extracting #1: cost 12 inf + 0 61.198 * * [simplify]: Extracting #2: cost 21 inf + 3 61.198 * * [simplify]: Extracting #3: cost 21 inf + 337 61.199 * * [simplify]: Extracting #4: cost 12 inf + 1158 61.200 * * [simplify]: Extracting #5: cost 0 inf + 3114 61.202 * [simplify]: Simplified to (/ (/ U (* J 2)) (cos (/ K 2))) 61.202 * [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 (* 1/2 K)) J))) 61.202 * * * * [progress]: [ 46 / 143 ] simplifiying candidate # 61.202 * * * * [progress]: [ 47 / 143 ] simplifiying candidate # 61.202 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J)))) (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J))))) 61.202 * * [simplify]: iters left: 6 (14 enodes) 61.209 * * [simplify]: iters left: 5 (54 enodes) 61.220 * * [simplify]: iters left: 4 (119 enodes) 61.261 * * [simplify]: iters left: 3 (457 enodes) 61.810 * * [simplify]: Extracting #0: cost 1 inf + 0 61.810 * * [simplify]: Extracting #1: cost 87 inf + 0 61.813 * * [simplify]: Extracting #2: cost 440 inf + 0 61.815 * * [simplify]: Extracting #3: cost 434 inf + 3488 61.819 * * [simplify]: Extracting #4: cost 349 inf + 25733 61.834 * * [simplify]: Extracting #5: cost 181 inf + 99544 61.878 * * [simplify]: Extracting #6: cost 13 inf + 179105 61.948 * * [simplify]: Extracting #7: cost 0 inf + 185460 62.008 * [simplify]: Simplified to (+ (- (- (log U) (log 2)) (+ (log J) (log (cos (/ K 2))))) (- (- (log U) (log 2)) (+ (log J) (log (cos (/ K 2)))))) 62.008 * [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 (* 1/2 K)) J))) 62.008 * * * * [progress]: [ 48 / 143 ] simplifiying candidate # 62.008 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J)))) (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J))))) 62.009 * * [simplify]: iters left: 6 (18 enodes) 62.014 * * [simplify]: iters left: 5 (62 enodes) 62.029 * * [simplify]: iters left: 4 (132 enodes) 62.071 * * [simplify]: iters left: 3 (478 enodes) 62.660 * * [simplify]: Extracting #0: cost 1 inf + 0 62.660 * * [simplify]: Extracting #1: cost 82 inf + 0 62.663 * * [simplify]: Extracting #2: cost 444 inf + 0 62.668 * * [simplify]: Extracting #3: cost 427 inf + 6272 62.677 * * [simplify]: Extracting #4: cost 349 inf + 27083 62.705 * * [simplify]: Extracting #5: cost 195 inf + 91884 62.747 * * [simplify]: Extracting #6: cost 8 inf + 176405 62.798 * * [simplify]: Extracting #7: cost 0 inf + 179331 62.852 * [simplify]: Simplified to (+ (- (- (log U) (log 2)) (log (* (cos (/ K 2)) J))) (- (- (log U) (log 2)) (log (* (cos (/ K 2)) J)))) 62.852 * [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 (* 1/2 K)) J))) 62.852 * * * * [progress]: [ 49 / 143 ] simplifiying candidate # 62.852 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J)))) (- (log U) (log (* 2 (* (cos (/ K 2)) J))))) 62.853 * * [simplify]: iters left: 6 (18 enodes) 62.857 * * [simplify]: iters left: 5 (75 enodes) 62.880 * * [simplify]: iters left: 4 (150 enodes) 62.944 * * [simplify]: iters left: 3 (443 enodes) 63.267 * * [simplify]: Extracting #0: cost 1 inf + 0 63.267 * * [simplify]: Extracting #1: cost 83 inf + 0 63.269 * * [simplify]: Extracting #2: cost 392 inf + 0 63.271 * * [simplify]: Extracting #3: cost 355 inf + 11214 63.279 * * [simplify]: Extracting #4: cost 300 inf + 26302 63.284 * * [simplify]: Extracting #5: cost 298 inf + 25425 63.305 * * [simplify]: Extracting #6: cost 142 inf + 91412 63.346 * * [simplify]: Extracting #7: cost 4 inf + 152459 63.405 * * [simplify]: Extracting #8: cost 0 inf + 148055 63.438 * * [simplify]: Extracting #9: cost 0 inf + 147415 63.484 * [simplify]: Simplified to (+ (- (log U) (log (* 2 (* (cos (/ K 2)) J)))) (- (log U) (log (* 2 (* (cos (/ K 2)) J))))) 63.484 * [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 (* 1/2 K)) J))) 63.484 * * * * [progress]: [ 50 / 143 ] simplifiying candidate # 63.485 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J)))) (log (/ U (* 2 (* (cos (/ K 2)) J))))) 63.485 * * [simplify]: iters left: 6 (18 enodes) 63.490 * * [simplify]: iters left: 5 (73 enodes) 63.504 * * [simplify]: iters left: 4 (158 enodes) 63.548 * * [simplify]: iters left: 3 (401 enodes) 63.834 * * [simplify]: Extracting #0: cost 1 inf + 0 63.834 * * [simplify]: Extracting #1: cost 75 inf + 0 63.836 * * [simplify]: Extracting #2: cost 294 inf + 0 63.839 * * [simplify]: Extracting #3: cost 333 inf + 1095 63.843 * * [simplify]: Extracting #4: cost 296 inf + 8878 63.854 * * [simplify]: Extracting #5: cost 211 inf + 34388 63.893 * * [simplify]: Extracting #6: cost 35 inf + 111987 63.940 * * [simplify]: Extracting #7: cost 3 inf + 120876 63.992 * * [simplify]: Extracting #8: cost 0 inf + 120028 64.040 * * [simplify]: Extracting #9: cost 0 inf + 119988 64.068 * [simplify]: Simplified to (+ (log (/ (/ (/ U J) 2) (cos (/ K 2)))) (log (/ (/ (/ U J) 2) (cos (/ K 2))))) 64.068 * [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 (* 1/2 K)) J))) 64.068 * * * * [progress]: [ 51 / 143 ] simplifiying candidate # 64.068 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J))))) 64.069 * * [simplify]: iters left: 6 (18 enodes) 64.073 * * [simplify]: iters left: 5 (63 enodes) 64.094 * * [simplify]: iters left: 4 (128 enodes) 64.129 * * [simplify]: iters left: 3 (467 enodes) 64.589 * * [simplify]: Extracting #0: cost 1 inf + 0 64.589 * * [simplify]: Extracting #1: cost 87 inf + 0 64.592 * * [simplify]: Extracting #2: cost 459 inf + 0 64.597 * * [simplify]: Extracting #3: cost 444 inf + 6063 64.606 * * [simplify]: Extracting #4: cost 367 inf + 26781 64.634 * * [simplify]: Extracting #5: cost 208 inf + 91682 64.687 * * [simplify]: Extracting #6: cost 16 inf + 181307 64.756 * * [simplify]: Extracting #7: cost 0 inf + 189267 64.797 * [simplify]: Simplified to (+ (- (- (log U) (log (* J (cos (/ K 2))))) (log 2)) (- (- (log U) (log (* J (cos (/ K 2))))) (log 2))) 64.797 * [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 (* 1/2 K)) J))) 64.797 * * * * [progress]: [ 52 / 143 ] simplifiying candidate # 64.797 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J))))) 64.797 * * [simplify]: iters left: 6 (13 enodes) 64.801 * * [simplify]: iters left: 5 (52 enodes) 64.811 * * [simplify]: iters left: 4 (107 enodes) 64.837 * * [simplify]: iters left: 3 (365 enodes) 65.167 * * [simplify]: Extracting #0: cost 1 inf + 0 65.167 * * [simplify]: Extracting #1: cost 73 inf + 0 65.170 * * [simplify]: Extracting #2: cost 366 inf + 0 65.180 * * [simplify]: Extracting #3: cost 356 inf + 3306 65.185 * * [simplify]: Extracting #4: cost 311 inf + 14304 65.193 * * [simplify]: Extracting #5: cost 182 inf + 63744 65.228 * * [simplify]: Extracting #6: cost 3 inf + 143874 65.263 * * [simplify]: Extracting #7: cost 0 inf + 144974 65.299 * [simplify]: Simplified to (+ (- (- (log U) (log 2)) (log (* J (cos (/ K 2))))) (- (- (log U) (log 2)) (log (* J (cos (/ K 2)))))) 65.299 * [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 (* 1/2 K)) J))) 65.299 * * * * [progress]: [ 53 / 143 ] simplifiying candidate # 65.299 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J)))) (- (log U) (log (* 2 (* (cos (/ K 2)) J))))) 65.299 * * [simplify]: iters left: 6 (16 enodes) 65.308 * * [simplify]: iters left: 5 (63 enodes) 65.323 * * [simplify]: iters left: 4 (135 enodes) 65.364 * * [simplify]: iters left: 3 (408 enodes) 65.655 * * [simplify]: Extracting #0: cost 1 inf + 0 65.655 * * [simplify]: Extracting #1: cost 70 inf + 0 65.656 * * [simplify]: Extracting #2: cost 382 inf + 0 65.659 * * [simplify]: Extracting #3: cost 349 inf + 11611 65.669 * * [simplify]: Extracting #4: cost 295 inf + 25200 65.679 * * [simplify]: Extracting #5: cost 168 inf + 76172 65.718 * * [simplify]: Extracting #6: cost 7 inf + 144466 65.765 * * [simplify]: Extracting #7: cost 0 inf + 144413 65.796 * * [simplify]: Extracting #8: cost 0 inf + 144253 65.840 * [simplify]: Simplified to (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2)))))) 65.840 * [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 (* 1/2 K)) J))) 65.840 * * * * [progress]: [ 54 / 143 ] simplifiying candidate # 65.841 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J)))) (log (/ U (* 2 (* (cos (/ K 2)) J))))) 65.841 * * [simplify]: iters left: 6 (16 enodes) 65.849 * * [simplify]: iters left: 5 (67 enodes) 65.870 * * [simplify]: iters left: 4 (136 enodes) 65.909 * * [simplify]: iters left: 3 (364 enodes) 66.097 * * [simplify]: Extracting #0: cost 1 inf + 0 66.097 * * [simplify]: Extracting #1: cost 62 inf + 0 66.099 * * [simplify]: Extracting #2: cost 325 inf + 0 66.103 * * [simplify]: Extracting #3: cost 344 inf + 4236 66.108 * * [simplify]: Extracting #4: cost 302 inf + 14346 66.125 * * [simplify]: Extracting #5: cost 171 inf + 62575 66.175 * * [simplify]: Extracting #6: cost 9 inf + 127185 66.223 * * [simplify]: Extracting #7: cost 0 inf + 124566 66.271 * * [simplify]: Extracting #8: cost 0 inf + 124346 66.668 * [simplify]: Simplified to (+ (log (/ (/ U 2) (* J (cos (/ K 2))))) (log (/ (/ U 2) (* J (cos (/ K 2)))))) 66.668 * [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 (* 1/2 K)) J))) 66.668 * * * * [progress]: [ 55 / 143 ] simplifiying candidate # 66.669 * [simplify]: Simplifying (+ (- (log U) (log (* 2 (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J))))) 66.669 * * [simplify]: iters left: 6 (18 enodes) 66.673 * * [simplify]: iters left: 5 (75 enodes) 66.686 * * [simplify]: iters left: 4 (153 enodes) 66.725 * * [simplify]: iters left: 3 (475 enodes) 67.161 * * [simplify]: Extracting #0: cost 1 inf + 0 67.161 * * [simplify]: Extracting #1: cost 84 inf + 0 67.164 * * [simplify]: Extracting #2: cost 434 inf + 0 67.170 * * [simplify]: Extracting #3: cost 400 inf + 11081 67.178 * * [simplify]: Extracting #4: cost 349 inf + 23822 67.202 * * [simplify]: Extracting #5: cost 211 inf + 78498 67.269 * * [simplify]: Extracting #6: cost 13 inf + 162504 67.317 * * [simplify]: Extracting #7: cost 0 inf + 165480 67.357 * * [simplify]: Extracting #8: cost 0 inf + 165120 67.418 * [simplify]: Simplified to (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2)))))) 67.418 * [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 (* 1/2 K)) J))) 67.418 * * * * [progress]: [ 56 / 143 ] simplifiying candidate # 67.418 * [simplify]: Simplifying (+ (- (log U) (log (* 2 (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J))))) 67.418 * * [simplify]: iters left: 6 (16 enodes) 67.423 * * [simplify]: iters left: 5 (63 enodes) 67.434 * * [simplify]: iters left: 4 (131 enodes) 67.486 * * [simplify]: iters left: 3 (399 enodes) 67.865 * * [simplify]: Extracting #0: cost 1 inf + 0 67.866 * * [simplify]: Extracting #1: cost 73 inf + 0 67.867 * * [simplify]: Extracting #2: cost 359 inf + 0 67.869 * * [simplify]: Extracting #3: cost 367 inf + 1026 67.872 * * [simplify]: Extracting #4: cost 310 inf + 13485 67.881 * * [simplify]: Extracting #5: cost 171 inf + 64486 67.915 * * [simplify]: Extracting #6: cost 19 inf + 126775 67.952 * * [simplify]: Extracting #7: cost 0 inf + 132642 67.992 * * [simplify]: Extracting #8: cost 0 inf + 132602 68.049 * [simplify]: Simplified to (+ (- (log U) (log (* (* (cos (/ K 2)) J) 2))) (- (log U) (log (* (* (cos (/ K 2)) J) 2)))) 68.050 * [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 (* 1/2 K)) J))) 68.050 * * * * [progress]: [ 57 / 143 ] simplifiying candidate # 68.050 * [simplify]: Simplifying (+ (- (log U) (log (* 2 (* (cos (/ K 2)) J)))) (- (log U) (log (* 2 (* (cos (/ K 2)) J))))) 68.050 * * [simplify]: iters left: 6 (12 enodes) 68.054 * * [simplify]: iters left: 5 (49 enodes) 68.063 * * [simplify]: iters left: 4 (96 enodes) 68.082 * * [simplify]: iters left: 3 (241 enodes) 68.202 * * [simplify]: Extracting #0: cost 1 inf + 0 68.203 * * [simplify]: Extracting #1: cost 49 inf + 0 68.204 * * [simplify]: Extracting #2: cost 251 inf + 0 68.205 * * [simplify]: Extracting #3: cost 249 inf + 1539 68.207 * * [simplify]: Extracting #4: cost 212 inf + 9334 68.209 * * [simplify]: Extracting #5: cost 194 inf + 13677 68.214 * * [simplify]: Extracting #6: cost 164 inf + 24866 68.226 * * [simplify]: Extracting #7: cost 45 inf + 75345 68.254 * * [simplify]: Extracting #8: cost 2 inf + 93245 68.290 * * [simplify]: Extracting #9: cost 0 inf + 93841 68.325 * [simplify]: Simplified to (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2)))))) 68.325 * [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 (* 1/2 K)) J))) 68.325 * * * * [progress]: [ 58 / 143 ] simplifiying candidate # 68.326 * [simplify]: Simplifying (+ (- (log U) (log (* 2 (* (cos (/ K 2)) J)))) (log (/ U (* 2 (* (cos (/ K 2)) J))))) 68.326 * * [simplify]: iters left: 6 (14 enodes) 68.333 * * [simplify]: iters left: 5 (54 enodes) 68.351 * * [simplify]: iters left: 4 (109 enodes) 68.388 * * [simplify]: iters left: 3 (265 enodes) 68.532 * * [simplify]: Extracting #0: cost 1 inf + 0 68.532 * * [simplify]: Extracting #1: cost 49 inf + 0 68.533 * * [simplify]: Extracting #2: cost 242 inf + 0 68.535 * * [simplify]: Extracting #3: cost 260 inf + 440 68.539 * * [simplify]: Extracting #4: cost 211 inf + 10253 68.545 * * [simplify]: Extracting #5: cost 162 inf + 23316 68.570 * * [simplify]: Extracting #6: cost 21 inf + 78082 68.595 * * [simplify]: Extracting #7: cost 0 inf + 87037 68.611 * [simplify]: Simplified to (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J)))) 68.612 * [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 (* 1/2 K)) J))) 68.612 * * * * [progress]: [ 59 / 143 ] simplifiying candidate # 68.612 * [simplify]: Simplifying (+ (log (/ U (* 2 (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J))))) 68.612 * * [simplify]: iters left: 6 (18 enodes) 68.618 * * [simplify]: iters left: 5 (73 enodes) 68.642 * * [simplify]: iters left: 4 (156 enodes) 68.705 * * [simplify]: iters left: 3 (366 enodes) 68.913 * * [simplify]: Extracting #0: cost 1 inf + 0 68.913 * * [simplify]: Extracting #1: cost 81 inf + 0 68.914 * * [simplify]: Extracting #2: cost 315 inf + 0 68.915 * * [simplify]: Extracting #3: cost 336 inf + 1721 68.918 * * [simplify]: Extracting #4: cost 281 inf + 13075 68.922 * * [simplify]: Extracting #5: cost 231 inf + 25685 68.954 * * [simplify]: Extracting #6: cost 45 inf + 102230 69.003 * * [simplify]: Extracting #7: cost 0 inf + 118934 69.049 * [simplify]: Simplified to (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J)))) 69.049 * [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 (* 1/2 K)) J))) 69.049 * * * * [progress]: [ 60 / 143 ] simplifiying candidate # 69.049 * [simplify]: Simplifying (+ (log (/ U (* 2 (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J))))) 69.050 * * [simplify]: iters left: 6 (16 enodes) 69.058 * * [simplify]: iters left: 5 (67 enodes) 69.080 * * [simplify]: iters left: 4 (134 enodes) 69.134 * * [simplify]: iters left: 3 (341 enodes) 69.314 * * [simplify]: Extracting #0: cost 1 inf + 0 69.314 * * [simplify]: Extracting #1: cost 72 inf + 0 69.316 * * [simplify]: Extracting #2: cost 349 inf + 0 69.320 * * [simplify]: Extracting #3: cost 372 inf + 1584 69.325 * * [simplify]: Extracting #4: cost 326 inf + 11097 69.343 * * [simplify]: Extracting #5: cost 165 inf + 68281 69.372 * * [simplify]: Extracting #6: cost 8 inf + 130982 69.404 * * [simplify]: Extracting #7: cost 0 inf + 131624 69.438 * [simplify]: Simplified to (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J)))) 69.438 * [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 (* 1/2 K)) J))) 69.438 * * * * [progress]: [ 61 / 143 ] simplifiying candidate # 69.438 * [simplify]: Simplifying (+ (log (/ U (* 2 (* (cos (/ K 2)) J)))) (- (log U) (log (* 2 (* (cos (/ K 2)) J))))) 69.438 * * [simplify]: iters left: 6 (14 enodes) 69.442 * * [simplify]: iters left: 5 (54 enodes) 69.452 * * [simplify]: iters left: 4 (106 enodes) 69.475 * * [simplify]: iters left: 3 (231 enodes) 69.563 * * [simplify]: Extracting #0: cost 1 inf + 0 69.563 * * [simplify]: Extracting #1: cost 64 inf + 0 69.564 * * [simplify]: Extracting #2: cost 246 inf + 0 69.565 * * [simplify]: Extracting #3: cost 259 inf + 560 69.569 * * [simplify]: Extracting #4: cost 218 inf + 8763 69.576 * * [simplify]: Extracting #5: cost 148 inf + 29077 69.602 * * [simplify]: Extracting #6: cost 27 inf + 76331 69.626 * * [simplify]: Extracting #7: cost 0 inf + 87431 69.641 * * [simplify]: Extracting #8: cost 0 inf + 87391 69.664 * [simplify]: Simplified to (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J)))) 69.664 * [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 (* 1/2 K)) J))) 69.664 * * * * [progress]: [ 62 / 143 ] simplifiying candidate # 69.665 * [simplify]: Simplifying (+ (log (/ U (* 2 (* (cos (/ K 2)) J)))) (log (/ U (* 2 (* (cos (/ K 2)) J))))) 69.665 * * [simplify]: iters left: 6 (11 enodes) 69.668 * * [simplify]: iters left: 5 (42 enodes) 69.675 * * [simplify]: iters left: 4 (79 enodes) 69.689 * * [simplify]: iters left: 3 (176 enodes) 69.734 * * [simplify]: iters left: 2 (491 enodes) 70.169 * * [simplify]: Extracting #0: cost 1 inf + 0 70.170 * * [simplify]: Extracting #1: cost 79 inf + 0 70.171 * * [simplify]: Extracting #2: cost 424 inf + 0 70.173 * * [simplify]: Extracting #3: cost 434 inf + 1374 70.176 * * [simplify]: Extracting #4: cost 365 inf + 15165 70.198 * * [simplify]: Extracting #5: cost 222 inf + 60738 70.239 * * [simplify]: Extracting #6: cost 20 inf + 142135 70.301 * * [simplify]: Extracting #7: cost 0 inf + 147485 70.372 * * [simplify]: Extracting #8: cost 0 inf + 147405 70.442 * [simplify]: Simplified to (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J)))) 70.442 * [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 (* 1/2 K)) J))) 70.443 * * * * [progress]: [ 63 / 143 ] simplifiying candidate # 70.443 * * * * [progress]: [ 64 / 143 ] simplifiying candidate # 70.443 * * * * [progress]: [ 65 / 143 ] simplifiying candidate # 70.443 * [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))))) 70.443 * * [simplify]: iters left: 6 (18 enodes) 70.455 * * [simplify]: iters left: 5 (81 enodes) 70.494 * * [simplify]: iters left: 4 (297 enodes) 70.942 * * [simplify]: Extracting #0: cost 1 inf + 0 70.943 * * [simplify]: Extracting #1: cost 317 inf + 0 70.951 * * [simplify]: Extracting #2: cost 1360 inf + 1186 70.968 * * [simplify]: Extracting #3: cost 1159 inf + 28787 70.989 * * [simplify]: Extracting #4: cost 1067 inf + 46078 71.007 * * [simplify]: Extracting #5: cost 1058 inf + 48222 71.057 * * [simplify]: Extracting #6: cost 700 inf + 217292 71.209 * * [simplify]: Extracting #7: cost 50 inf + 478678 71.361 * * [simplify]: Extracting #8: cost 0 inf + 450895 71.555 * * [simplify]: Extracting #9: cost 0 inf + 450215 71.719 * [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))))))) 71.719 * [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 (* 1/2 K)) J))) 71.719 * * * * [progress]: [ 66 / 143 ] simplifiying candidate # 71.719 * [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))))) 71.719 * * [simplify]: iters left: 6 (23 enodes) 71.731 * * [simplify]: iters left: 5 (116 enodes) 71.793 * * [simplify]: iters left: 4 (394 enodes) 72.801 * * [simplify]: Extracting #0: cost 1 inf + 0 72.802 * * [simplify]: Extracting #1: cost 311 inf + 0 72.809 * * [simplify]: Extracting #2: cost 1689 inf + 1430 72.839 * * [simplify]: Extracting #3: cost 1522 inf + 29371 72.862 * * [simplify]: Extracting #4: cost 1425 inf + 43602 72.901 * * [simplify]: Extracting #5: cost 1066 inf + 164617 73.032 * * [simplify]: Extracting #6: cost 135 inf + 521329 73.235 * * [simplify]: Extracting #7: cost 0 inf + 558572 73.405 * * [simplify]: Extracting #8: cost 0 inf + 556291 73.671 * [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)))))) 73.672 * [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 (* 1/2 K)) J))) 73.672 * * * * [progress]: [ 67 / 143 ] simplifiying candidate # 73.672 * [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))))) 73.673 * * [simplify]: iters left: 6 (23 enodes) 73.687 * * [simplify]: iters left: 5 (117 enodes) 73.732 * * [simplify]: Extracting #0: cost 1 inf + 0 73.733 * * [simplify]: Extracting #1: cost 57 inf + 0 73.733 * * [simplify]: Extracting #2: cost 198 inf + 1 73.735 * * [simplify]: Extracting #3: cost 196 inf + 1963 73.740 * * [simplify]: Extracting #4: cost 175 inf + 4048 73.745 * * [simplify]: Extracting #5: cost 138 inf + 14158 73.761 * * [simplify]: Extracting #6: cost 38 inf + 45666 73.784 * * [simplify]: Extracting #7: cost 0 inf + 59703 73.808 * * [simplify]: Extracting #8: cost 0 inf + 58861 73.832 * [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))))) 73.832 * [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 (* 1/2 K)) J))) 73.833 * * * * [progress]: [ 68 / 143 ] simplifiying candidate # 73.833 * [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))))) 73.833 * * [simplify]: iters left: 6 (23 enodes) 73.847 * * [simplify]: iters left: 5 (110 enodes) 73.902 * * [simplify]: iters left: 4 (408 enodes) 74.613 * * [simplify]: Extracting #0: cost 1 inf + 0 74.614 * * [simplify]: Extracting #1: cost 349 inf + 0 74.619 * * [simplify]: Extracting #2: cost 1362 inf + 253 74.630 * * [simplify]: Extracting #3: cost 1372 inf + 8215 74.639 * * [simplify]: Extracting #4: cost 1293 inf + 19441 74.682 * * [simplify]: Extracting #5: cost 942 inf + 149702 74.848 * * [simplify]: Extracting #6: cost 118 inf + 513336 75.063 * * [simplify]: Extracting #7: cost 0 inf + 530464 75.254 * * [simplify]: Extracting #8: cost 0 inf + 526424 75.432 * * [simplify]: Extracting #9: cost 0 inf + 526264 75.622 * [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)))))) 75.623 * [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 (* 1/2 K)) J))) 75.623 * * * * [progress]: [ 69 / 143 ] simplifiying candidate # 75.623 * [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))))) 75.624 * * [simplify]: iters left: 6 (23 enodes) 75.641 * * [simplify]: iters left: 5 (116 enodes) 75.693 * * [simplify]: iters left: 4 (400 enodes) 76.968 * * [simplify]: Extracting #0: cost 1 inf + 0 76.968 * * [simplify]: Extracting #1: cost 344 inf + 0 76.973 * * [simplify]: Extracting #2: cost 1789 inf + 1143 76.989 * * [simplify]: Extracting #3: cost 1636 inf + 27410 77.008 * * [simplify]: Extracting #4: cost 1501 inf + 45895 77.097 * * [simplify]: Extracting #5: cost 948 inf + 291521 77.306 * * [simplify]: Extracting #6: cost 30 inf + 639558 77.511 * * [simplify]: Extracting #7: cost 0 inf + 585701 77.735 * * [simplify]: Extracting #8: cost 0 inf + 585261 77.978 * [simplify]: Simplified to (* (* (/ (* U U) (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))))) (/ U 8)) (* (/ (* U U) (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))))) (/ U 8))) 77.978 * [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)))))) (/ U 8)) (* (/ (* U U) (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))))) (/ U 8)))) 1)) -2) (* (cos (* 1/2 K)) J))) 77.978 * * * * [progress]: [ 70 / 143 ] simplifiying candidate # 77.979 * [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))))) 77.980 * * [simplify]: iters left: 6 (16 enodes) 77.992 * * [simplify]: iters left: 5 (79 enodes) 78.032 * * [simplify]: iters left: 4 (300 enodes) 78.660 * * [simplify]: Extracting #0: cost 1 inf + 0 78.661 * * [simplify]: Extracting #1: cost 276 inf + 0 78.678 * * [simplify]: Extracting #2: cost 1222 inf + 1113 78.691 * * [simplify]: Extracting #3: cost 1095 inf + 16811 78.706 * * [simplify]: Extracting #4: cost 1061 inf + 20800 78.763 * * [simplify]: Extracting #5: cost 657 inf + 183765 78.892 * * [simplify]: Extracting #6: cost 22 inf + 410882 79.047 * * [simplify]: Extracting #7: cost 0 inf + 405405 79.204 * * [simplify]: Extracting #8: cost 0 inf + 405114 79.357 * [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))))))) 79.357 * [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 (* 1/2 K)) J))) 79.358 * * * * [progress]: [ 71 / 143 ] simplifiying candidate # 79.358 * [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))))) 79.358 * * [simplify]: iters left: 6 (20 enodes) 79.366 * * [simplify]: iters left: 5 (110 enodes) 79.409 * * [simplify]: iters left: 4 (486 enodes) 80.379 * * [simplify]: Extracting #0: cost 1 inf + 0 80.380 * * [simplify]: Extracting #1: cost 357 inf + 0 80.391 * * [simplify]: Extracting #2: cost 1674 inf + 46 80.406 * * [simplify]: Extracting #3: cost 1665 inf + 7772 80.419 * * [simplify]: Extracting #4: cost 1548 inf + 21540 80.451 * * [simplify]: Extracting #5: cost 1189 inf + 142515 80.611 * * [simplify]: Extracting #6: cost 125 inf + 558507 80.801 * * [simplify]: Extracting #7: cost 0 inf + 585789 81.030 * * [simplify]: Extracting #8: cost 0 inf + 584657 81.252 * [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)))))) 81.252 * [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 (* 1/2 K)) J))) 81.253 * * * * [progress]: [ 72 / 143 ] simplifiying candidate # 81.253 * [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))))) 81.253 * * [simplify]: iters left: 6 (20 enodes) 81.264 * * [simplify]: iters left: 5 (104 enodes) 81.292 * * [simplify]: iters left: 4 (410 enodes) 81.985 * * [simplify]: Extracting #0: cost 1 inf + 0 81.986 * * [simplify]: Extracting #1: cost 320 inf + 0 81.989 * * [simplify]: Extracting #2: cost 1273 inf + 422 81.995 * * [simplify]: Extracting #3: cost 1300 inf + 5654 82.002 * * [simplify]: Extracting #4: cost 1233 inf + 13684 82.043 * * [simplify]: Extracting #5: cost 817 inf + 180631 82.223 * * [simplify]: Extracting #6: cost 86 inf + 457006 82.424 * * [simplify]: Extracting #7: cost 0 inf + 479132 82.647 * * [simplify]: Extracting #8: cost 0 inf + 478812 82.842 * [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))))) 82.842 * [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 (* 1/2 K)) J))) 82.843 * * * * [progress]: [ 73 / 143 ] simplifiying candidate # 82.843 * [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))))) 82.843 * * [simplify]: iters left: 6 (23 enodes) 82.852 * * [simplify]: iters left: 5 (117 enodes) 82.886 * * [simplify]: Extracting #0: cost 1 inf + 0 82.886 * * [simplify]: Extracting #1: cost 57 inf + 0 82.887 * * [simplify]: Extracting #2: cost 198 inf + 1 82.890 * * [simplify]: Extracting #3: cost 195 inf + 2086 82.891 * * [simplify]: Extracting #4: cost 174 inf + 4290 82.894 * * [simplify]: Extracting #5: cost 116 inf + 19820 82.906 * * [simplify]: Extracting #6: cost 12 inf + 57316 82.918 * * [simplify]: Extracting #7: cost 0 inf + 58322 82.933 * [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))) 82.934 * [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 (* 1/2 K)) J))) 82.934 * * * * [progress]: [ 74 / 143 ] simplifiying candidate # 82.934 * [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))))) 82.935 * * [simplify]: iters left: 6 (20 enodes) 82.949 * * [simplify]: iters left: 5 (110 enodes) 82.994 * * [simplify]: iters left: 4 (486 enodes) 84.032 * * [simplify]: Extracting #0: cost 1 inf + 0 84.033 * * [simplify]: Extracting #1: cost 354 inf + 0 84.043 * * [simplify]: Extracting #2: cost 1735 inf + 907 84.062 * * [simplify]: Extracting #3: cost 1679 inf + 14699 84.086 * * [simplify]: Extracting #4: cost 1550 inf + 37200 84.238 * * [simplify]: Extracting #5: cost 531 inf + 434089 84.494 * * [simplify]: Extracting #6: cost 3 inf + 615701 84.734 * * [simplify]: Extracting #7: cost 0 inf + 600245 85.000 * * [simplify]: Extracting #8: cost 0 inf + 599913 85.260 * [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)))) 85.260 * [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 (* 1/2 K)) J))) 85.260 * * * * [progress]: [ 75 / 143 ] simplifiying candidate # 85.260 * [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))))) 85.261 * * [simplify]: iters left: 6 (14 enodes) 85.265 * * [simplify]: iters left: 5 (69 enodes) 85.290 * * [simplify]: iters left: 4 (284 enodes) 85.804 * * [simplify]: Extracting #0: cost 1 inf + 0 85.805 * * [simplify]: Extracting #1: cost 264 inf + 0 85.809 * * [simplify]: Extracting #2: cost 1052 inf + 500 85.814 * * [simplify]: Extracting #3: cost 1009 inf + 7301 85.824 * * [simplify]: Extracting #4: cost 995 inf + 8857 85.853 * * [simplify]: Extracting #5: cost 705 inf + 95858 85.942 * * [simplify]: Extracting #6: cost 73 inf + 344943 86.096 * * [simplify]: Extracting #7: cost 0 inf + 363124 86.241 * * [simplify]: Extracting #8: cost 0 inf + 361502 86.382 * [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))))))) 86.382 * [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 (* 1/2 K)) J))) 86.382 * * * * [progress]: [ 76 / 143 ] simplifiying candidate # 86.383 * [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))))) 86.383 * * [simplify]: iters left: 6 (17 enodes) 86.393 * * [simplify]: iters left: 5 (87 enodes) 86.446 * * [simplify]: iters left: 4 (347 enodes) 87.239 * * [simplify]: Extracting #0: cost 1 inf + 0 87.239 * * [simplify]: Extracting #1: cost 232 inf + 0 87.245 * * [simplify]: Extracting #2: cost 1152 inf + 416 87.255 * * [simplify]: Extracting #3: cost 1101 inf + 7417 87.273 * * [simplify]: Extracting #4: cost 1072 inf + 11014 87.308 * * [simplify]: Extracting #5: cost 704 inf + 127275 87.429 * * [simplify]: Extracting #6: cost 26 inf + 377336 87.583 * * [simplify]: Extracting #7: cost 0 inf + 379590 87.742 * * [simplify]: Extracting #8: cost 0 inf + 379507 87.919 * [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))))) 87.919 * [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 (* 1/2 K)) J))) 87.920 * * * * [progress]: [ 77 / 143 ] simplifiying candidate # 87.920 * [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))))) 87.921 * * [simplify]: iters left: 6 (23 enodes) 87.937 * * [simplify]: iters left: 5 (110 enodes) 87.965 * * [simplify]: iters left: 4 (410 enodes) 88.580 * * [simplify]: Extracting #0: cost 1 inf + 0 88.581 * * [simplify]: Extracting #1: cost 359 inf + 0 88.585 * * [simplify]: Extracting #2: cost 1287 inf + 419 88.593 * * [simplify]: Extracting #3: cost 1261 inf + 9929 88.610 * * [simplify]: Extracting #4: cost 1180 inf + 21019 88.663 * * [simplify]: Extracting #5: cost 735 inf + 199153 88.814 * * [simplify]: Extracting #6: cost 8 inf + 499942 88.958 * * [simplify]: Extracting #7: cost 0 inf + 474987 89.092 * * [simplify]: Extracting #8: cost 0 inf + 473616 89.227 * [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))))) 89.227 * [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 (* 1/2 K)) J))) 89.227 * * * * [progress]: [ 78 / 143 ] simplifiying candidate # 89.228 * [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))))) 89.228 * * [simplify]: iters left: 6 (20 enodes) 89.237 * * [simplify]: iters left: 5 (104 enodes) 89.267 * * [simplify]: iters left: 4 (410 enodes) 90.334 * * [simplify]: Extracting #0: cost 1 inf + 0 90.335 * * [simplify]: Extracting #1: cost 333 inf + 0 90.341 * * [simplify]: Extracting #2: cost 1241 inf + 215 90.347 * * [simplify]: Extracting #3: cost 1232 inf + 5451 90.355 * * [simplify]: Extracting #4: cost 1158 inf + 14257 90.416 * * [simplify]: Extracting #5: cost 643 inf + 213569 90.583 * * [simplify]: Extracting #6: cost 28 inf + 452599 90.764 * * [simplify]: Extracting #7: cost 0 inf + 451462 90.958 * * [simplify]: Extracting #8: cost 0 inf + 451384 91.154 * [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))) 91.154 * [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 (* 1/2 K)) J))) 91.154 * * * * [progress]: [ 79 / 143 ] simplifiying candidate # 91.154 * [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))))) 91.154 * * [simplify]: iters left: 6 (17 enodes) 91.160 * * [simplify]: iters left: 5 (87 enodes) 91.187 * * [simplify]: iters left: 4 (343 enodes) 91.768 * * [simplify]: Extracting #0: cost 1 inf + 0 91.768 * * [simplify]: Extracting #1: cost 233 inf + 0 91.777 * * [simplify]: Extracting #2: cost 1036 inf + 500 91.782 * * [simplify]: Extracting #3: cost 983 inf + 8543 91.788 * * [simplify]: Extracting #4: cost 966 inf + 10234 91.820 * * [simplify]: Extracting #5: cost 660 inf + 104231 91.960 * * [simplify]: Extracting #6: cost 29 inf + 338660 92.078 * * [simplify]: Extracting #7: cost 0 inf + 344120 92.205 * * [simplify]: Extracting #8: cost 0 inf + 344000 92.334 * [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))))) 92.334 * [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 (* 1/2 K)) J))) 92.335 * * * * [progress]: [ 80 / 143 ] simplifiying candidate # 92.335 * [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))))) 92.335 * * [simplify]: iters left: 6 (12 enodes) 92.342 * * [simplify]: iters left: 5 (55 enodes) 92.367 * * [simplify]: iters left: 4 (179 enodes) 92.587 * * [simplify]: Extracting #0: cost 1 inf + 0 92.587 * * [simplify]: Extracting #1: cost 111 inf + 0 92.590 * * [simplify]: Extracting #2: cost 476 inf + 4 92.595 * * [simplify]: Extracting #3: cost 509 inf + 1174 92.617 * * [simplify]: Extracting #4: cost 279 inf + 68658 92.686 * * [simplify]: Extracting #5: cost 18 inf + 157912 92.771 * * [simplify]: Extracting #6: cost 0 inf + 164075 92.853 * * [simplify]: Extracting #7: cost 0 inf + 164036 92.934 * [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)))) 92.934 * [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 (* 1/2 K)) J))) 92.935 * * * * [progress]: [ 81 / 143 ] simplifiying candidate # 92.935 * * * * [progress]: [ 82 / 143 ] simplifiying candidate # 92.935 * * * * [progress]: [ 83 / 143 ] simplifiying candidate # 92.935 * * * * [progress]: [ 84 / 143 ] simplifiying candidate # 92.936 * [simplify]: Simplifying (* U U) 92.936 * * [simplify]: iters left: 2 (2 enodes) 92.937 * * [simplify]: iters left: 1 (6 enodes) 92.938 * * [simplify]: Extracting #0: cost 1 inf + 0 92.938 * * [simplify]: Extracting #1: cost 3 inf + 0 92.938 * * [simplify]: Extracting #2: cost 2 inf + 1 92.938 * * [simplify]: Extracting #3: cost 0 inf + 83 92.938 * [simplify]: Simplified to (* U U) 92.938 * [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 (* 1/2 K)) J))) 92.938 * [simplify]: Simplifying (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) 92.938 * * [simplify]: iters left: 6 (8 enodes) 92.941 * * [simplify]: iters left: 5 (36 enodes) 92.948 * * [simplify]: iters left: 4 (87 enodes) 92.979 * * [simplify]: iters left: 3 (207 enodes) 93.063 * * [simplify]: iters left: 2 (334 enodes) 93.168 * * [simplify]: iters left: 1 (346 enodes) 93.270 * * [simplify]: Extracting #0: cost 1 inf + 0 93.270 * * [simplify]: Extracting #1: cost 27 inf + 0 93.270 * * [simplify]: Extracting #2: cost 45 inf + 126 93.270 * * [simplify]: Extracting #3: cost 40 inf + 539 93.271 * * [simplify]: Extracting #4: cost 38 inf + 582 93.272 * * [simplify]: Extracting #5: cost 16 inf + 4323 93.274 * * [simplify]: Extracting #6: cost 1 inf + 7145 93.277 * * [simplify]: Extracting #7: cost 0 inf + 7248 93.279 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) 2) J) (* (* (cos (/ K 2)) 2) J)) 93.279 * [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 (* 1/2 K)) J))) 93.279 * * * * [progress]: [ 85 / 143 ] simplifiying candidate # 93.279 * * * * [progress]: [ 86 / 143 ] simplifiying candidate # 93.279 * [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)))))) 93.279 * * [simplify]: iters left: 6 (12 enodes) 93.283 * * [simplify]: iters left: 5 (46 enodes) 93.290 * * [simplify]: iters left: 4 (68 enodes) 93.301 * * [simplify]: iters left: 3 (95 enodes) 93.319 * * [simplify]: iters left: 2 (144 enodes) 93.355 * * [simplify]: iters left: 1 (288 enodes) 93.472 * * [simplify]: Extracting #0: cost 1 inf + 0 93.472 * * [simplify]: Extracting #1: cost 71 inf + 0 93.473 * * [simplify]: Extracting #2: cost 140 inf + 46 93.474 * * [simplify]: Extracting #3: cost 128 inf + 636 93.475 * * [simplify]: Extracting #4: cost 111 inf + 2561 93.478 * * [simplify]: Extracting #5: cost 99 inf + 4759 93.489 * * [simplify]: Extracting #6: cost 26 inf + 35874 93.506 * * [simplify]: Extracting #7: cost 0 inf + 49849 93.525 * [simplify]: Simplified to (* (cbrt (/ (/ (/ U J) (cos (/ K 2))) 2)) (/ (/ (/ U J) (cos (/ K 2))) 2)) 93.525 * [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 (* 1/2 K)) J))) 93.525 * [simplify]: Simplifying (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J))))) 93.525 * * [simplify]: iters left: 6 (11 enodes) 93.531 * * [simplify]: iters left: 5 (39 enodes) 93.543 * * [simplify]: iters left: 4 (57 enodes) 93.565 * * [simplify]: iters left: 3 (74 enodes) 93.585 * * [simplify]: iters left: 2 (79 enodes) 93.604 * * [simplify]: Extracting #0: cost 1 inf + 0 93.604 * * [simplify]: Extracting #1: cost 3 inf + 0 93.604 * * [simplify]: Extracting #2: cost 5 inf + 0 93.604 * * [simplify]: Extracting #3: cost 16 inf + 0 93.604 * * [simplify]: Extracting #4: cost 25 inf + 3 93.604 * * [simplify]: Extracting #5: cost 28 inf + 129 93.605 * * [simplify]: Extracting #6: cost 13 inf + 1889 93.606 * * [simplify]: Extracting #7: cost 3 inf + 3901 93.608 * * [simplify]: Extracting #8: cost 0 inf + 4410 93.609 * [simplify]: Simplified to (* (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))) (cbrt (/ (/ U (* J 2)) (cos (/ K 2))))) 93.609 * [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 (* 1/2 K)) J))) 93.610 * * * * [progress]: [ 87 / 143 ] simplifiying candidate # 93.610 * [simplify]: Simplifying (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) 93.610 * * [simplify]: iters left: 6 (11 enodes) 93.616 * * [simplify]: iters left: 5 (37 enodes) 93.627 * * [simplify]: iters left: 4 (56 enodes) 93.643 * * [simplify]: iters left: 3 (73 enodes) 93.662 * * [simplify]: iters left: 2 (78 enodes) 93.681 * * [simplify]: Extracting #0: cost 1 inf + 0 93.681 * * [simplify]: Extracting #1: cost 13 inf + 0 93.681 * * [simplify]: Extracting #2: cost 23 inf + 3 93.681 * * [simplify]: Extracting #3: cost 26 inf + 129 93.681 * * [simplify]: Extracting #4: cost 16 inf + 851 93.682 * * [simplify]: Extracting #5: cost 3 inf + 3053 93.683 * * [simplify]: Extracting #6: cost 0 inf + 3642 93.685 * [simplify]: Simplified to (/ (/ U 2) (* (cos (/ K 2)) J)) 93.685 * [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 (* 1/2 K)) J))) 93.685 * [simplify]: Simplifying (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) 93.685 * * [simplify]: iters left: 6 (11 enodes) 93.690 * * [simplify]: iters left: 5 (37 enodes) 93.703 * * [simplify]: iters left: 4 (56 enodes) 93.719 * * [simplify]: iters left: 3 (73 enodes) 93.737 * * [simplify]: iters left: 2 (78 enodes) 93.755 * * [simplify]: Extracting #0: cost 1 inf + 0 93.755 * * [simplify]: Extracting #1: cost 13 inf + 0 93.755 * * [simplify]: Extracting #2: cost 23 inf + 3 93.755 * * [simplify]: Extracting #3: cost 26 inf + 129 93.756 * * [simplify]: Extracting #4: cost 16 inf + 851 93.757 * * [simplify]: Extracting #5: cost 3 inf + 3053 93.759 * * [simplify]: Extracting #6: cost 0 inf + 3642 93.760 * [simplify]: Simplified to (/ (/ U 2) (* (cos (/ K 2)) J)) 93.760 * [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 (* 1/2 K)) J))) 93.761 * * * * [progress]: [ 88 / 143 ] simplifiying candidate # 93.761 * [simplify]: Simplifying (* (/ (* (cbrt U) (cbrt U)) 2) (/ (* (cbrt U) (cbrt U)) 2)) 93.761 * * [simplify]: iters left: 6 (6 enodes) 93.765 * * [simplify]: iters left: 5 (24 enodes) 93.773 * * [simplify]: iters left: 4 (46 enodes) 93.791 * * [simplify]: iters left: 3 (94 enodes) 93.813 * * [simplify]: iters left: 2 (159 enodes) 93.850 * * [simplify]: iters left: 1 (178 enodes) 93.879 * * [simplify]: Extracting #0: cost 1 inf + 0 93.879 * * [simplify]: Extracting #1: cost 29 inf + 0 93.880 * * [simplify]: Extracting #2: cost 41 inf + 574 93.881 * * [simplify]: Extracting #3: cost 17 inf + 3701 93.882 * * [simplify]: Extracting #4: cost 1 inf + 6290 93.883 * * [simplify]: Extracting #5: cost 0 inf + 6582 93.885 * [simplify]: Simplified to (/ (cbrt U) (/ 4 U)) 93.885 * [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 (* 1/2 K)) J))) 93.885 * [simplify]: Simplifying (* (/ (cbrt U) (* (cos (/ K 2)) J)) (/ (cbrt U) (* (cos (/ K 2)) J))) 93.885 * * [simplify]: iters left: 6 (10 enodes) 93.888 * * [simplify]: iters left: 5 (37 enodes) 93.900 * * [simplify]: iters left: 4 (67 enodes) 93.916 * * [simplify]: iters left: 3 (153 enodes) 93.955 * * [simplify]: iters left: 2 (265 enodes) 94.024 * * [simplify]: iters left: 1 (362 enodes) 94.129 * * [simplify]: Extracting #0: cost 1 inf + 0 94.129 * * [simplify]: Extracting #1: cost 35 inf + 0 94.130 * * [simplify]: Extracting #2: cost 67 inf + 42 94.130 * * [simplify]: Extracting #3: cost 66 inf + 287 94.131 * * [simplify]: Extracting #4: cost 37 inf + 5381 94.134 * * [simplify]: Extracting #5: cost 4 inf + 13267 94.138 * * [simplify]: Extracting #6: cost 0 inf + 14362 94.141 * [simplify]: Simplified to (* (/ (/ (cbrt U) J) (cos (/ K 2))) (/ (/ (cbrt U) J) (cos (/ K 2)))) 94.142 * [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 (* 1/2 K)) J))) 94.142 * * * * [progress]: [ 89 / 143 ] simplifiying candidate # 94.142 * [simplify]: Simplifying (* (/ (sqrt U) 2) (/ (sqrt U) 2)) 94.142 * * [simplify]: iters left: 5 (5 enodes) 94.144 * * [simplify]: iters left: 4 (19 enodes) 94.150 * * [simplify]: iters left: 3 (27 enodes) 94.158 * * [simplify]: iters left: 2 (34 enodes) 94.169 * * [simplify]: iters left: 1 (44 enodes) 94.176 * * [simplify]: Extracting #0: cost 1 inf + 0 94.177 * * [simplify]: Extracting #1: cost 11 inf + 0 94.177 * * [simplify]: Extracting #2: cost 14 inf + 3 94.177 * * [simplify]: Extracting #3: cost 6 inf + 457 94.177 * * [simplify]: Extracting #4: cost 1 inf + 827 94.177 * * [simplify]: Extracting #5: cost 0 inf + 909 94.178 * [simplify]: Simplified to (/ U 4) 94.178 * [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 (* 1/2 K)) J))) 94.178 * [simplify]: Simplifying (* (/ (sqrt U) (* (cos (/ K 2)) J)) (/ (sqrt U) (* (cos (/ K 2)) J))) 94.178 * * [simplify]: iters left: 6 (10 enodes) 94.180 * * [simplify]: iters left: 5 (37 enodes) 94.186 * * [simplify]: iters left: 4 (67 enodes) 94.198 * * [simplify]: iters left: 3 (146 enodes) 94.250 * * [simplify]: iters left: 2 (251 enodes) 94.351 * * [simplify]: iters left: 1 (349 enodes) 94.455 * * [simplify]: Extracting #0: cost 1 inf + 0 94.456 * * [simplify]: Extracting #1: cost 35 inf + 0 94.456 * * [simplify]: Extracting #2: cost 62 inf + 166 94.457 * * [simplify]: Extracting #3: cost 55 inf + 984 94.458 * * [simplify]: Extracting #4: cost 30 inf + 4815 94.461 * * [simplify]: Extracting #5: cost 2 inf + 10753 94.464 * * [simplify]: Extracting #6: cost 0 inf + 11240 94.468 * [simplify]: Simplified to (/ U (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))) 94.469 * [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 (* 1/2 K)) J))) 94.470 * * * * [progress]: [ 90 / 143 ] simplifiying candidate # 94.470 * [simplify]: Simplifying (* (/ 1 2) (/ 1 2)) 94.470 * * [simplify]: iters left: 4 (4 enodes) 94.474 * * [simplify]: iters left: 3 (20 enodes) 94.477 * * [simplify]: iters left: 2 (22 enodes) 94.480 * * [simplify]: Extracting #0: cost 1 inf + 0 94.480 * * [simplify]: Extracting #1: cost 0 inf + 1 94.480 * [simplify]: Simplified to 1/4 94.480 * [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 (* 1/2 K)) J))) 94.480 * [simplify]: Simplifying (* (/ U (* (cos (/ K 2)) J)) (/ U (* (cos (/ K 2)) J))) 94.480 * * [simplify]: iters left: 6 (9 enodes) 94.482 * * [simplify]: iters left: 5 (34 enodes) 94.488 * * [simplify]: iters left: 4 (64 enodes) 94.502 * * [simplify]: iters left: 3 (148 enodes) 94.532 * * [simplify]: iters left: 2 (260 enodes) 94.609 * * [simplify]: iters left: 1 (358 enodes) 94.734 * * [simplify]: Extracting #0: cost 1 inf + 0 94.734 * * [simplify]: Extracting #1: cost 35 inf + 0 94.734 * * [simplify]: Extracting #2: cost 64 inf + 43 94.735 * * [simplify]: Extracting #3: cost 57 inf + 701 94.735 * * [simplify]: Extracting #4: cost 50 inf + 1032 94.736 * * [simplify]: Extracting #5: cost 32 inf + 3989 94.740 * * [simplify]: Extracting #6: cost 1 inf + 10017 94.743 * * [simplify]: Extracting #7: cost 0 inf + 10200 94.747 * [simplify]: Simplified to (* (/ (/ U J) (cos (/ K 2))) (/ (/ U J) (cos (/ K 2)))) 94.747 * [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 (* 1/2 K)) J))) 94.747 * * * * [progress]: [ 91 / 143 ] simplifiying candidate # 94.747 * [simplify]: Simplifying (* 1 1) 94.747 * * [simplify]: iters left: 2 (2 enodes) 94.748 * * [simplify]: iters left: 1 (6 enodes) 94.749 * * [simplify]: Extracting #0: cost 1 inf + 0 94.749 * * [simplify]: Extracting #1: cost 0 inf + 1 94.749 * [simplify]: Simplified to 1 94.749 * [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 (* 1/2 K)) J))) 94.750 * [simplify]: Simplifying (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 94.750 * * [simplify]: iters left: 6 (10 enodes) 94.752 * * [simplify]: iters left: 5 (40 enodes) 94.759 * * [simplify]: iters left: 4 (91 enodes) 94.784 * * [simplify]: iters left: 3 (345 enodes) 95.039 * * [simplify]: Extracting #0: cost 1 inf + 0 95.039 * * [simplify]: Extracting #1: cost 118 inf + 0 95.040 * * [simplify]: Extracting #2: cost 235 inf + 45 95.042 * * [simplify]: Extracting #3: cost 206 inf + 2474 95.047 * * [simplify]: Extracting #4: cost 104 inf + 22209 95.069 * * [simplify]: Extracting #5: cost 6 inf + 45227 95.085 * * [simplify]: Extracting #6: cost 0 inf + 46605 95.099 * * [simplify]: Extracting #7: cost 0 inf + 46604 95.127 * [simplify]: Simplified to (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) 95.127 * [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 (* 1/2 K)) J))) 95.128 * * * * [progress]: [ 92 / 143 ] simplifiying candidate # 95.128 * [simplify]: Simplifying (* U U) 95.128 * * [simplify]: iters left: 2 (2 enodes) 95.129 * * [simplify]: iters left: 1 (6 enodes) 95.130 * * [simplify]: Extracting #0: cost 1 inf + 0 95.131 * * [simplify]: Extracting #1: cost 3 inf + 0 95.131 * * [simplify]: Extracting #2: cost 2 inf + 1 95.131 * * [simplify]: Extracting #3: cost 0 inf + 83 95.131 * [simplify]: Simplified to (* U U) 95.131 * [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 (* 1/2 K)) J))) 95.131 * [simplify]: Simplifying (* (/ 1 (* 2 (* (cos (/ K 2)) J))) (/ 1 (* 2 (* (cos (/ K 2)) J)))) 95.131 * * [simplify]: iters left: 6 (10 enodes) 95.137 * * [simplify]: iters left: 5 (43 enodes) 95.154 * * [simplify]: iters left: 4 (82 enodes) 95.179 * * [simplify]: iters left: 3 (274 enodes) 95.464 * * [simplify]: Extracting #0: cost 1 inf + 0 95.464 * * [simplify]: Extracting #1: cost 74 inf + 0 95.465 * * [simplify]: Extracting #2: cost 171 inf + 90 95.466 * * [simplify]: Extracting #3: cost 152 inf + 2072 95.469 * * [simplify]: Extracting #4: cost 88 inf + 14128 95.478 * * [simplify]: Extracting #5: cost 3 inf + 32394 95.488 * * [simplify]: Extracting #6: cost 0 inf + 33107 95.498 * * [simplify]: Extracting #7: cost 0 inf + 33068 95.511 * [simplify]: Simplified to (/ (/ 1/4 (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)) 95.511 * [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 (* 1/2 K)) J))) 95.511 * * * * [progress]: [ 93 / 143 ] simplifiying candidate # 95.511 * [simplify]: Simplifying (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) 95.512 * * [simplify]: iters left: 6 (11 enodes) 95.517 * * [simplify]: iters left: 5 (37 enodes) 95.528 * * [simplify]: iters left: 4 (56 enodes) 95.543 * * [simplify]: iters left: 3 (73 enodes) 95.565 * * [simplify]: iters left: 2 (78 enodes) 95.584 * * [simplify]: Extracting #0: cost 1 inf + 0 95.584 * * [simplify]: Extracting #1: cost 13 inf + 0 95.584 * * [simplify]: Extracting #2: cost 23 inf + 3 95.584 * * [simplify]: Extracting #3: cost 26 inf + 129 95.585 * * [simplify]: Extracting #4: cost 16 inf + 851 95.586 * * [simplify]: Extracting #5: cost 3 inf + 3053 95.587 * * [simplify]: Extracting #6: cost 0 inf + 3642 95.588 * [simplify]: Simplified to (/ (/ U 2) (* (cos (/ K 2)) J)) 95.589 * [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 (* 1/2 K)) J))) 95.589 * [simplify]: Simplifying (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) 95.589 * * [simplify]: iters left: 6 (11 enodes) 95.595 * * [simplify]: iters left: 5 (37 enodes) 95.603 * * [simplify]: iters left: 4 (56 enodes) 95.611 * * [simplify]: iters left: 3 (73 enodes) 95.620 * * [simplify]: iters left: 2 (78 enodes) 95.629 * * [simplify]: Extracting #0: cost 1 inf + 0 95.629 * * [simplify]: Extracting #1: cost 13 inf + 0 95.629 * * [simplify]: Extracting #2: cost 23 inf + 3 95.629 * * [simplify]: Extracting #3: cost 26 inf + 129 95.629 * * [simplify]: Extracting #4: cost 16 inf + 851 95.630 * * [simplify]: Extracting #5: cost 3 inf + 3053 95.630 * * [simplify]: Extracting #6: cost 0 inf + 3642 95.631 * [simplify]: Simplified to (/ (/ U 2) (* (cos (/ K 2)) J)) 95.631 * [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 (* 1/2 K)) J))) 95.631 * * * * [progress]: [ 94 / 143 ] simplifiying candidate # 95.631 * [simplify]: Simplifying (/ U (* 2 (* (cos (/ K 2)) J))) 95.632 * * [simplify]: iters left: 6 (9 enodes) 95.636 * * [simplify]: iters left: 5 (33 enodes) 95.646 * * [simplify]: iters left: 4 (51 enodes) 95.661 * * [simplify]: iters left: 3 (68 enodes) 95.681 * * [simplify]: iters left: 2 (73 enodes) 95.698 * * [simplify]: Extracting #0: cost 1 inf + 0 95.698 * * [simplify]: Extracting #1: cost 12 inf + 0 95.698 * * [simplify]: Extracting #2: cost 21 inf + 3 95.699 * * [simplify]: Extracting #3: cost 21 inf + 337 95.699 * * [simplify]: Extracting #4: cost 12 inf + 1158 95.700 * * [simplify]: Extracting #5: cost 0 inf + 3114 95.701 * [simplify]: Simplified to (/ (/ U (* J 2)) (cos (/ K 2))) 95.701 * [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 (* 1/2 K)) J))) 95.702 * [simplify]: Simplifying (* 2 1) 95.702 * * [simplify]: iters left: 2 (3 enodes) 95.704 * * [simplify]: iters left: 1 (9 enodes) 95.707 * * [simplify]: Extracting #0: cost 1 inf + 0 95.707 * * [simplify]: Extracting #1: cost 0 inf + 1 95.707 * [simplify]: Simplified to 2 95.707 * [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 (* 1/2 K)) J))) 95.707 * * * * [progress]: [ 95 / 143 ] simplifiying candidate # 95.708 * [simplify]: Simplifying (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) 95.708 * * [simplify]: iters left: 6 (10 enodes) 95.713 * * [simplify]: iters left: 5 (36 enodes) 95.724 * * [simplify]: iters left: 4 (54 enodes) 95.740 * * [simplify]: iters left: 3 (71 enodes) 95.759 * * [simplify]: iters left: 2 (76 enodes) 95.777 * * [simplify]: Extracting #0: cost 1 inf + 0 95.777 * * [simplify]: Extracting #1: cost 3 inf + 0 95.777 * * [simplify]: Extracting #2: cost 14 inf + 0 95.777 * * [simplify]: Extracting #3: cost 23 inf + 3 95.777 * * [simplify]: Extracting #4: cost 24 inf + 295 95.778 * * [simplify]: Extracting #5: cost 9 inf + 2499 95.779 * * [simplify]: Extracting #6: cost 0 inf + 3722 95.781 * [simplify]: Simplified to (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))) 95.781 * [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 (* 1/2 K)) J))) 95.781 * * * * [progress]: [ 96 / 143 ] simplifiying candidate # 95.782 * [simplify]: Simplifying (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) 95.782 * * [simplify]: iters left: 6 (10 enodes) 95.787 * * [simplify]: iters left: 5 (36 enodes) 95.798 * * [simplify]: iters left: 4 (54 enodes) 95.814 * * [simplify]: iters left: 3 (71 enodes) 95.828 * * [simplify]: iters left: 2 (76 enodes) 95.836 * * [simplify]: Extracting #0: cost 1 inf + 0 95.836 * * [simplify]: Extracting #1: cost 3 inf + 0 95.836 * * [simplify]: Extracting #2: cost 14 inf + 0 95.837 * * [simplify]: Extracting #3: cost 23 inf + 3 95.837 * * [simplify]: Extracting #4: cost 24 inf + 295 95.837 * * [simplify]: Extracting #5: cost 9 inf + 2419 95.838 * * [simplify]: Extracting #6: cost 0 inf + 3642 95.838 * [simplify]: Simplified to (sqrt (/ (/ U (* J 2)) (cos (/ K 2)))) 95.838 * [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 (* 1/2 K)) J))) 95.839 * * * * [progress]: [ 97 / 143 ] simplifiying candidate # 95.839 * [simplify]: Simplifying (/ (cbrt U) (* (cos (/ K 2)) J)) 95.839 * * [simplify]: iters left: 6 (9 enodes) 95.841 * * [simplify]: iters left: 5 (30 enodes) 95.845 * * [simplify]: iters left: 4 (34 enodes) 95.850 * * [simplify]: iters left: 3 (36 enodes) 95.857 * * [simplify]: Extracting #0: cost 1 inf + 0 95.857 * * [simplify]: Extracting #1: cost 8 inf + 0 95.857 * * [simplify]: Extracting #2: cost 14 inf + 1 95.857 * * [simplify]: Extracting #3: cost 16 inf + 2 95.858 * * [simplify]: Extracting #4: cost 11 inf + 288 95.858 * * [simplify]: Extracting #5: cost 5 inf + 962 95.858 * * [simplify]: Extracting #6: cost 0 inf + 1958 95.859 * [simplify]: Simplified to (/ (/ (cbrt U) (cos (/ K 2))) J) 95.859 * [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 (* 1/2 K)) J))) 95.859 * * * * [progress]: [ 98 / 143 ] simplifiying candidate # 95.860 * [simplify]: Simplifying (/ (sqrt U) (* (cos (/ K 2)) J)) 95.860 * * [simplify]: iters left: 6 (9 enodes) 95.864 * * [simplify]: iters left: 5 (30 enodes) 95.872 * * [simplify]: iters left: 4 (34 enodes) 95.882 * * [simplify]: iters left: 3 (36 enodes) 95.892 * * [simplify]: Extracting #0: cost 1 inf + 0 95.892 * * [simplify]: Extracting #1: cost 8 inf + 0 95.892 * * [simplify]: Extracting #2: cost 14 inf + 1 95.892 * * [simplify]: Extracting #3: cost 16 inf + 2 95.892 * * [simplify]: Extracting #4: cost 11 inf + 168 95.893 * * [simplify]: Extracting #5: cost 5 inf + 762 95.893 * * [simplify]: Extracting #6: cost 0 inf + 1638 95.894 * [simplify]: Simplified to (/ (/ (sqrt U) (cos (/ K 2))) J) 95.894 * [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 (* 1/2 K)) J))) 95.894 * * * * [progress]: [ 99 / 143 ] simplifiying candidate # 95.894 * [simplify]: Simplifying (/ U (* (cos (/ K 2)) J)) 95.894 * * [simplify]: iters left: 6 (8 enodes) 95.898 * * [simplify]: iters left: 5 (27 enodes) 95.906 * * [simplify]: iters left: 4 (31 enodes) 95.916 * * [simplify]: iters left: 3 (33 enodes) 95.925 * * [simplify]: Extracting #0: cost 1 inf + 0 95.925 * * [simplify]: Extracting #1: cost 8 inf + 0 95.925 * * [simplify]: Extracting #2: cost 11 inf + 2 95.925 * * [simplify]: Extracting #3: cost 12 inf + 86 95.925 * * [simplify]: Extracting #4: cost 9 inf + 130 95.926 * * [simplify]: Extracting #5: cost 1 inf + 1132 95.926 * * [simplify]: Extracting #6: cost 0 inf + 1316 95.927 * [simplify]: Simplified to (/ (/ U J) (cos (/ K 2))) 95.927 * [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 (* 1/2 K)) J))) 95.927 * * * * [progress]: [ 100 / 143 ] simplifiying candidate # 95.927 * [simplify]: Simplifying (/ U (* 2 (* (cos (/ K 2)) J))) 95.927 * * [simplify]: iters left: 6 (9 enodes) 95.932 * * [simplify]: iters left: 5 (33 enodes) 95.942 * * [simplify]: iters left: 4 (51 enodes) 95.959 * * [simplify]: iters left: 3 (68 enodes) 95.976 * * [simplify]: iters left: 2 (73 enodes) 95.994 * * [simplify]: Extracting #0: cost 1 inf + 0 95.994 * * [simplify]: Extracting #1: cost 12 inf + 0 95.994 * * [simplify]: Extracting #2: cost 21 inf + 3 95.995 * * [simplify]: Extracting #3: cost 21 inf + 337 95.995 * * [simplify]: Extracting #4: cost 12 inf + 1158 95.996 * * [simplify]: Extracting #5: cost 0 inf + 3114 95.998 * [simplify]: Simplified to (/ (/ U (* J 2)) (cos (/ K 2))) 95.998 * [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 (* 1/2 K)) J))) 95.998 * * * * [progress]: [ 101 / 143 ] simplifiying candidate # 95.998 * [simplify]: Simplifying (/ 1 (* 2 (* (cos (/ K 2)) J))) 95.999 * * [simplify]: iters left: 6 (9 enodes) 96.004 * * [simplify]: iters left: 5 (36 enodes) 96.015 * * [simplify]: iters left: 4 (56 enodes) 96.030 * * [simplify]: iters left: 3 (72 enodes) 96.046 * * [simplify]: iters left: 2 (76 enodes) 96.063 * * [simplify]: Extracting #0: cost 1 inf + 0 96.063 * * [simplify]: Extracting #1: cost 12 inf + 0 96.063 * * [simplify]: Extracting #2: cost 18 inf + 46 96.063 * * [simplify]: Extracting #3: cost 21 inf + 172 96.063 * * [simplify]: Extracting #4: cost 12 inf + 1055 96.064 * * [simplify]: Extracting #5: cost 2 inf + 2464 96.065 * * [simplify]: Extracting #6: cost 0 inf + 2789 96.066 * [simplify]: Simplified to (/ (/ 1/2 J) (cos (/ K 2))) 96.066 * [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 (* 1/2 K)) J))) 96.066 * * * * [progress]: [ 102 / 143 ] simplifiying candidate # 96.067 * [simplify]: Simplifying (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J))))) 96.067 * * [simplify]: iters left: 6 (11 enodes) 96.072 * * [simplify]: iters left: 5 (39 enodes) 96.083 * * [simplify]: iters left: 4 (57 enodes) 96.092 * * [simplify]: iters left: 3 (74 enodes) 96.102 * * [simplify]: iters left: 2 (79 enodes) 96.111 * * [simplify]: Extracting #0: cost 1 inf + 0 96.111 * * [simplify]: Extracting #1: cost 3 inf + 0 96.111 * * [simplify]: Extracting #2: cost 5 inf + 0 96.111 * * [simplify]: Extracting #3: cost 16 inf + 0 96.111 * * [simplify]: Extracting #4: cost 25 inf + 3 96.111 * * [simplify]: Extracting #5: cost 28 inf + 129 96.112 * * [simplify]: Extracting #6: cost 13 inf + 1889 96.112 * * [simplify]: Extracting #7: cost 3 inf + 3901 96.113 * * [simplify]: Extracting #8: cost 0 inf + 4410 96.114 * [simplify]: Simplified to (* (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))) (cbrt (/ (/ U (* J 2)) (cos (/ K 2))))) 96.114 * [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 (* 1/2 K)) J))) 96.114 * * * * [progress]: [ 103 / 143 ] simplifiying candidate # 96.114 * [simplify]: Simplifying (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) 96.114 * * [simplify]: iters left: 6 (10 enodes) 96.117 * * [simplify]: iters left: 5 (36 enodes) 96.122 * * [simplify]: iters left: 4 (54 enodes) 96.130 * * [simplify]: iters left: 3 (71 enodes) 96.139 * * [simplify]: iters left: 2 (76 enodes) 96.151 * * [simplify]: Extracting #0: cost 1 inf + 0 96.151 * * [simplify]: Extracting #1: cost 3 inf + 0 96.151 * * [simplify]: Extracting #2: cost 14 inf + 0 96.151 * * [simplify]: Extracting #3: cost 23 inf + 3 96.151 * * [simplify]: Extracting #4: cost 24 inf + 295 96.152 * * [simplify]: Extracting #5: cost 9 inf + 2419 96.153 * * [simplify]: Extracting #6: cost 0 inf + 3642 96.154 * [simplify]: Simplified to (sqrt (/ (/ U (* J 2)) (cos (/ K 2)))) 96.154 * [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 (* 1/2 K)) J))) 96.155 * * * * [progress]: [ 104 / 143 ] simplifiying candidate # 96.155 * [simplify]: Simplifying (/ (* (cbrt U) (cbrt U)) 2) 96.155 * * [simplify]: iters left: 5 (5 enodes) 96.157 * * [simplify]: iters left: 4 (17 enodes) 96.162 * * [simplify]: iters left: 3 (21 enodes) 96.168 * * [simplify]: iters left: 2 (24 enodes) 96.176 * * [simplify]: Extracting #0: cost 1 inf + 0 96.176 * * [simplify]: Extracting #1: cost 7 inf + 0 96.176 * * [simplify]: Extracting #2: cost 11 inf + 1 96.176 * * [simplify]: Extracting #3: cost 10 inf + 2 96.177 * * [simplify]: Extracting #4: cost 0 inf + 1218 96.177 * [simplify]: Simplified to (/ (* (cbrt U) (cbrt U)) 2) 96.177 * [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 (* 1/2 K)) J))) 96.177 * * * * [progress]: [ 105 / 143 ] simplifiying candidate # 96.178 * [simplify]: Simplifying (/ (sqrt U) 2) 96.178 * * [simplify]: iters left: 3 (4 enodes) 96.179 * * [simplify]: iters left: 2 (12 enodes) 96.183 * * [simplify]: Extracting #0: cost 1 inf + 0 96.183 * * [simplify]: Extracting #1: cost 4 inf + 0 96.183 * * [simplify]: Extracting #2: cost 5 inf + 1 96.183 * * [simplify]: Extracting #3: cost 4 inf + 2 96.183 * * [simplify]: Extracting #4: cost 0 inf + 248 96.184 * [simplify]: Simplified to (/ (sqrt U) 2) 96.184 * [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 (* 1/2 K)) J))) 96.184 * * * * [progress]: [ 106 / 143 ] simplifiying candidate # 96.184 * [simplify]: Simplifying (/ 1 2) 96.184 * * [simplify]: iters left: 2 (3 enodes) 96.187 * * [simplify]: iters left: 1 (12 enodes) 96.191 * * [simplify]: Extracting #0: cost 1 inf + 0 96.191 * * [simplify]: Extracting #1: cost 0 inf + 1 96.191 * [simplify]: Simplified to 1/2 96.191 * [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 (* 1/2 K)) J))) 96.191 * * * * [progress]: [ 107 / 143 ] simplifiying candidate # 96.191 * * * * [progress]: [ 108 / 143 ] simplifiying candidate # 96.191 * * * * [progress]: [ 109 / 143 ] simplifiying candidate # 96.191 * [simplify]: Simplifying (* 2 (* (cos (/ K 2)) J)) 96.191 * * [simplify]: iters left: 6 (7 enodes) 96.194 * * [simplify]: iters left: 5 (25 enodes) 96.202 * * [simplify]: iters left: 4 (33 enodes) 96.211 * * [simplify]: iters left: 3 (39 enodes) 96.222 * * [simplify]: Extracting #0: cost 1 inf + 0 96.222 * * [simplify]: Extracting #1: cost 8 inf + 0 96.222 * * [simplify]: Extracting #2: cost 11 inf + 2 96.222 * * [simplify]: Extracting #3: cost 12 inf + 44 96.222 * * [simplify]: Extracting #4: cost 10 inf + 87 96.222 * * [simplify]: Extracting #5: cost 4 inf + 660 96.223 * * [simplify]: Extracting #6: cost 1 inf + 1128 96.223 * * [simplify]: Extracting #7: cost 0 inf + 1311 96.224 * [simplify]: Simplified to (* (cos (/ K 2)) (* J 2)) 96.224 * [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 (* 1/2 K)) J))) 96.224 * * * * [progress]: [ 110 / 143 ] simplifiying candidate # 96.224 * [simplify]: Simplifying (* U (/ U (* 2 (* (cos (/ K 2)) J)))) 96.224 * * [simplify]: iters left: 6 (10 enodes) 96.229 * * [simplify]: iters left: 5 (39 enodes) 96.241 * * [simplify]: iters left: 4 (75 enodes) 96.261 * * [simplify]: iters left: 3 (155 enodes) 96.299 * * [simplify]: iters left: 2 (223 enodes) 96.370 * * [simplify]: iters left: 1 (274 enodes) 96.460 * * [simplify]: Extracting #0: cost 1 inf + 0 96.460 * * [simplify]: Extracting #1: cost 34 inf + 0 96.460 * * [simplify]: Extracting #2: cost 56 inf + 128 96.461 * * [simplify]: Extracting #3: cost 42 inf + 1204 96.462 * * [simplify]: Extracting #4: cost 22 inf + 4022 96.464 * * [simplify]: Extracting #5: cost 0 inf + 8215 96.466 * [simplify]: Simplified to (/ U (* (/ (cos (/ K 2)) U) (* J 2))) 96.466 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (/ (/ U (* (/ (cos (/ K 2)) U) (* J 2))) (* 2 (* (cos (/ K 2)) J))) 1)) -2) (* (cos (* 1/2 K)) J))) 96.467 * * * * [progress]: [ 111 / 143 ] simplifiying candidate #real (real->posit16 (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (* 1/2 K)) J)))> 96.467 * * * * [progress]: [ 112 / 143 ] simplifiying candidate # 96.467 * * * * [progress]: [ 113 / 143 ] simplifiying candidate # 96.467 * [simplify]: Simplifying (* (cos (* 1/2 K)) J) 96.467 * * [simplify]: iters left: 5 (6 enodes) 96.469 * * [simplify]: iters left: 4 (20 enodes) 96.471 * * [simplify]: Extracting #0: cost 1 inf + 0 96.471 * * [simplify]: Extracting #1: cost 4 inf + 0 96.471 * * [simplify]: Extracting #2: cost 5 inf + 1 96.471 * * [simplify]: Extracting #3: cost 8 inf + 1 96.472 * * [simplify]: Extracting #4: cost 6 inf + 3 96.472 * * [simplify]: Extracting #5: cost 0 inf + 577 96.472 * [simplify]: Simplified to (* (cos (* 1/2 K)) J) 96.472 * [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 (* 1/2 K)) J) 1))) 96.472 * * * * [progress]: [ 114 / 143 ] simplifiying candidate # 96.472 * * * * [progress]: [ 115 / 143 ] simplifiying candidate # 96.472 * [simplify]: Simplifying (+ (log (cos (* 1/2 K))) (log J)) 96.472 * * [simplify]: iters left: 6 (8 enodes) 96.474 * * [simplify]: iters left: 5 (26 enodes) 96.478 * * [simplify]: Extracting #0: cost 1 inf + 0 96.478 * * [simplify]: Extracting #1: cost 4 inf + 0 96.478 * * [simplify]: Extracting #2: cost 8 inf + 0 96.478 * * [simplify]: Extracting #3: cost 8 inf + 72 96.478 * * [simplify]: Extracting #4: cost 10 inf + 143 96.478 * * [simplify]: Extracting #5: cost 8 inf + 145 96.478 * * [simplify]: Extracting #6: cost 5 inf + 331 96.478 * * [simplify]: Extracting #7: cost 1 inf + 1060 96.478 * * [simplify]: Extracting #8: cost 0 inf + 1343 96.478 * [simplify]: Simplified to (+ (log J) (log (cos (* 1/2 K)))) 96.478 * [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 (* 1/2 K))))))) 96.479 * * * * [progress]: [ 116 / 143 ] simplifiying candidate # 96.479 * * * * [progress]: [ 117 / 143 ] simplifiying candidate # 96.479 * * * * [progress]: [ 118 / 143 ] simplifiying candidate # 96.479 * [simplify]: Simplifying (* (* (* (cos (* 1/2 K)) (cos (* 1/2 K))) (cos (* 1/2 K))) (* (* J J) J)) 96.479 * * [simplify]: iters left: 6 (10 enodes) 96.482 * * [simplify]: iters left: 5 (38 enodes) 96.492 * * [simplify]: iters left: 4 (67 enodes) 96.519 * * [simplify]: iters left: 3 (122 enodes) 96.571 * * [simplify]: iters left: 2 (204 enodes) 96.692 * * [simplify]: iters left: 1 (399 enodes) 96.905 * * [simplify]: Extracting #0: cost 1 inf + 0 96.905 * * [simplify]: Extracting #1: cost 55 inf + 0 96.906 * * [simplify]: Extracting #2: cost 163 inf + 124 96.907 * * [simplify]: Extracting #3: cost 162 inf + 249 96.908 * * [simplify]: Extracting #4: cost 128 inf + 9706 96.913 * * [simplify]: Extracting #5: cost 40 inf + 51334 96.922 * * [simplify]: Extracting #6: cost 1 inf + 73110 96.932 * * [simplify]: Extracting #7: cost 0 inf + 73543 96.942 * [simplify]: Simplified to (* (* (* (cos (* 1/2 K)) J) (* (cos (* 1/2 K)) J)) (* (cos (* 1/2 K)) J)) 96.942 * [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 (* 1/2 K)) J) (* (cos (* 1/2 K)) J)) (* (cos (* 1/2 K)) J))))) 96.942 * * * * [progress]: [ 119 / 143 ] simplifiying candidate # 96.943 * * * * [progress]: [ 120 / 143 ] simplifiying candidate # 96.943 * * * * [progress]: [ 121 / 143 ] simplifiying candidate # 96.943 * * * * [progress]: [ 122 / 143 ] simplifiying candidate # 96.943 * * * * [progress]: [ 123 / 143 ] simplifiying candidate # 96.943 * [simplify]: Simplifying (* (sqrt (cos (* 1/2 K))) (sqrt J)) 96.943 * * [simplify]: iters left: 6 (8 enodes) 96.945 * * [simplify]: iters left: 5 (26 enodes) 96.948 * * [simplify]: Extracting #0: cost 1 inf + 0 96.948 * * [simplify]: Extracting #1: cost 4 inf + 0 96.949 * * [simplify]: Extracting #2: cost 8 inf + 0 96.949 * * [simplify]: Extracting #3: cost 8 inf + 42 96.949 * * [simplify]: Extracting #4: cost 10 inf + 83 96.949 * * [simplify]: Extracting #5: cost 8 inf + 85 96.949 * * [simplify]: Extracting #6: cost 5 inf + 271 96.951 * * [simplify]: Extracting #7: cost 1 inf + 880 96.951 * * [simplify]: Extracting #8: cost 0 inf + 1103 96.952 * [simplify]: Simplified to (* (sqrt J) (sqrt (cos (* 1/2 K)))) 96.952 * [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 (* 1/2 K)))) (* (sqrt (cos (* 1/2 K))) (sqrt J))))) 96.952 * [simplify]: Simplifying (* (sqrt (cos (* 1/2 K))) (sqrt J)) 96.952 * * [simplify]: iters left: 6 (8 enodes) 96.956 * * [simplify]: iters left: 5 (26 enodes) 96.963 * * [simplify]: Extracting #0: cost 1 inf + 0 96.963 * * [simplify]: Extracting #1: cost 4 inf + 0 96.963 * * [simplify]: Extracting #2: cost 8 inf + 0 96.964 * * [simplify]: Extracting #3: cost 8 inf + 42 96.964 * * [simplify]: Extracting #4: cost 10 inf + 83 96.964 * * [simplify]: Extracting #5: cost 8 inf + 85 96.964 * * [simplify]: Extracting #6: cost 5 inf + 271 96.964 * * [simplify]: Extracting #7: cost 1 inf + 880 96.965 * * [simplify]: Extracting #8: cost 0 inf + 1103 96.965 * [simplify]: Simplified to (* (sqrt J) (sqrt (cos (* 1/2 K)))) 96.965 * [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 (* 1/2 K))) (sqrt J)) (* (sqrt J) (sqrt (cos (* 1/2 K))))))) 96.965 * * * * [progress]: [ 124 / 143 ] simplifiying candidate # 96.965 * [simplify]: Simplifying (cbrt J) 96.966 * * [simplify]: iters left: 1 (2 enodes) 96.966 * * [simplify]: Extracting #0: cost 1 inf + 0 96.966 * * [simplify]: Extracting #1: cost 3 inf + 0 96.966 * * [simplify]: Extracting #2: cost 2 inf + 1 96.967 * * [simplify]: Extracting #3: cost 0 inf + 163 96.967 * [simplify]: Simplified to (cbrt J) 96.967 * [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 (* 1/2 K)) (* (cbrt J) (cbrt J))) (cbrt J)))) 96.967 * * * * [progress]: [ 125 / 143 ] simplifiying candidate # 96.967 * [simplify]: Simplifying (sqrt J) 96.967 * * [simplify]: iters left: 1 (2 enodes) 96.968 * * [simplify]: Extracting #0: cost 1 inf + 0 96.968 * * [simplify]: Extracting #1: cost 3 inf + 0 96.968 * * [simplify]: Extracting #2: cost 2 inf + 1 96.968 * * [simplify]: Extracting #3: cost 0 inf + 83 96.968 * [simplify]: Simplified to (sqrt J) 96.968 * [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 (* 1/2 K)) (sqrt J)) (sqrt J)))) 96.968 * * * * [progress]: [ 126 / 143 ] simplifiying candidate # 96.968 * * * * [progress]: [ 127 / 143 ] simplifiying candidate # 96.969 * [simplify]: Simplifying (* (cbrt (cos (* 1/2 K))) (cbrt (cos (* 1/2 K)))) 96.969 * * [simplify]: iters left: 6 (6 enodes) 96.972 * * [simplify]: iters left: 5 (19 enodes) 96.978 * * [simplify]: Extracting #0: cost 1 inf + 0 96.978 * * [simplify]: Extracting #1: cost 3 inf + 0 96.978 * * [simplify]: Extracting #2: cost 5 inf + 0 96.978 * * [simplify]: Extracting #3: cost 7 inf + 0 96.978 * * [simplify]: Extracting #4: cost 10 inf + 0 96.978 * * [simplify]: Extracting #5: cost 8 inf + 2 96.978 * * [simplify]: Extracting #6: cost 0 inf + 1098 96.979 * [simplify]: Simplified to (* (cbrt (cos (* 1/2 K))) (cbrt (cos (* 1/2 K)))) 96.979 * [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 (* 1/2 K))) (cbrt (cos (* 1/2 K)))) (* (cbrt (cos (* 1/2 K))) J)))) 96.979 * * * * [progress]: [ 128 / 143 ] simplifiying candidate # 96.979 * [simplify]: Simplifying (sqrt (cos (* 1/2 K))) 96.979 * * [simplify]: iters left: 4 (5 enodes) 96.981 * * [simplify]: iters left: 3 (16 enodes) 96.983 * * [simplify]: Extracting #0: cost 1 inf + 0 96.983 * * [simplify]: Extracting #1: cost 3 inf + 0 96.983 * * [simplify]: Extracting #2: cost 5 inf + 0 96.983 * * [simplify]: Extracting #3: cost 8 inf + 0 96.983 * * [simplify]: Extracting #4: cost 6 inf + 2 96.983 * * [simplify]: Extracting #5: cost 0 inf + 574 96.984 * [simplify]: Simplified to (sqrt (cos (* 1/2 K))) 96.984 * [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 (* 1/2 K))) (* (sqrt (cos (* 1/2 K))) J)))) 96.984 * * * * [progress]: [ 129 / 143 ] simplifiying candidate # 96.984 * * * * [progress]: [ 130 / 143 ] simplifiying candidate #real (real->posit16 (* (cos (* 1/2 K)) J)))))> 96.984 * * * * [progress]: [ 131 / 143 ] simplifiying candidate # 96.984 * * * * [progress]: [ 132 / 143 ] simplifiying candidate # 96.984 * [simplify]: Simplifying 1 96.984 * * [simplify]: iters left: 0 (1 enodes) 96.985 * * [simplify]: Extracting #0: cost 1 inf + 0 96.985 * * [simplify]: Extracting #1: cost 0 inf + 1 96.985 * [simplify]: Simplified to 1 96.985 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* 1 -2) (* (cos (* 1/2 K)) J))) 96.985 * * * * [progress]: [ 133 / 143 ] simplifiying candidate # 96.985 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 96.985 * * [simplify]: iters left: 6 (9 enodes) 96.987 * * [simplify]: iters left: 5 (34 enodes) 96.993 * * [simplify]: iters left: 4 (56 enodes) 97.002 * * [simplify]: iters left: 3 (90 enodes) 97.018 * * [simplify]: iters left: 2 (114 enodes) 97.045 * * [simplify]: iters left: 1 (131 enodes) 97.064 * * [simplify]: Extracting #0: cost 1 inf + 0 97.064 * * [simplify]: Extracting #1: cost 22 inf + 0 97.064 * * [simplify]: Extracting #2: cost 37 inf + 3 97.065 * * [simplify]: Extracting #3: cost 31 inf + 380 97.065 * * [simplify]: Extracting #4: cost 17 inf + 1834 97.066 * * [simplify]: Extracting #5: cost 3 inf + 4117 97.067 * * [simplify]: Extracting #6: cost 0 inf + 4586 97.068 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 97.068 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) -2) (* (cos (* 1/2 K)) J))) 97.068 * * * * [progress]: [ 134 / 143 ] simplifiying candidate # 97.068 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 97.068 * * [simplify]: iters left: 6 (9 enodes) 97.071 * * [simplify]: iters left: 5 (34 enodes) 97.076 * * [simplify]: iters left: 4 (56 enodes) 97.085 * * [simplify]: iters left: 3 (90 enodes) 97.112 * * [simplify]: iters left: 2 (114 enodes) 97.143 * * [simplify]: iters left: 1 (131 enodes) 97.181 * * [simplify]: Extracting #0: cost 1 inf + 0 97.181 * * [simplify]: Extracting #1: cost 22 inf + 0 97.181 * * [simplify]: Extracting #2: cost 37 inf + 3 97.182 * * [simplify]: Extracting #3: cost 31 inf + 380 97.183 * * [simplify]: Extracting #4: cost 17 inf + 1834 97.184 * * [simplify]: Extracting #5: cost 3 inf + 4117 97.186 * * [simplify]: Extracting #6: cost 0 inf + 4586 97.188 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 97.189 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) -2) (* (cos (* 1/2 K)) J))) 97.189 * * * * [progress]: [ 135 / 143 ] simplifiying candidate # 97.189 * [simplify]: Simplifying (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 97.189 * * [simplify]: iters left: 6 (10 enodes) 97.195 * * [simplify]: iters left: 5 (43 enodes) 97.210 * * [simplify]: iters left: 4 (79 enodes) 97.223 * * [simplify]: iters left: 3 (118 enodes) 97.242 * * [simplify]: iters left: 2 (171 enodes) 97.302 * * [simplify]: iters left: 1 (241 enodes) 97.385 * * [simplify]: Extracting #0: cost 1 inf + 0 97.385 * * [simplify]: Extracting #1: cost 6 inf + 0 97.386 * * [simplify]: Extracting #2: cost 41 inf + 0 97.386 * * [simplify]: Extracting #3: cost 56 inf + 213 97.388 * * [simplify]: Extracting #4: cost 20 inf + 2774 97.391 * * [simplify]: Extracting #5: cost 2 inf + 4494 97.393 * * [simplify]: Extracting #6: cost 0 inf + 4698 97.396 * [simplify]: Simplified to (- (* -2 J) (/ (* U U) (/ J 1/4))) 97.396 * [simplify]: Simplified (2) to (λ (J K U) (- (* -2 J) (/ (* U U) (/ J 1/4)))) 97.397 * * * * [progress]: [ 136 / 143 ] simplifiying candidate # 97.397 * [simplify]: Simplifying (* -1 U) 97.397 * * [simplify]: iters left: 2 (3 enodes) 97.399 * * [simplify]: iters left: 1 (11 enodes) 97.404 * * [simplify]: Extracting #0: cost 1 inf + 0 97.404 * * [simplify]: Extracting #1: cost 4 inf + 0 97.404 * * [simplify]: Extracting #2: cost 0 inf + 84 97.404 * [simplify]: Simplified to (- U) 97.404 * [simplify]: Simplified (2) to (λ (J K U) (- U)) 97.404 * * * * [progress]: [ 137 / 143 ] simplifiying candidate # 97.405 * [simplify]: Simplifying (* -1 U) 97.405 * * [simplify]: iters left: 2 (3 enodes) 97.407 * * [simplify]: iters left: 1 (11 enodes) 97.410 * * [simplify]: Extracting #0: cost 1 inf + 0 97.410 * * [simplify]: Extracting #1: cost 4 inf + 0 97.410 * * [simplify]: Extracting #2: cost 0 inf + 84 97.410 * [simplify]: Simplified to (- U) 97.410 * [simplify]: Simplified (2) to (λ (J K U) (- U)) 97.410 * * * * [progress]: [ 138 / 143 ] simplifiying candidate # 97.411 * [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))))) 97.411 * * [simplify]: iters left: 6 (22 enodes) 97.424 * * [simplify]: iters left: 5 (98 enodes) 97.448 * * [simplify]: iters left: 4 (205 enodes) 97.509 * * [simplify]: Extracting #0: cost 1 inf + 0 97.509 * * [simplify]: Extracting #1: cost 8 inf + 0 97.509 * * [simplify]: Extracting #2: cost 99 inf + 0 97.510 * * [simplify]: Extracting #3: cost 192 inf + 415 97.514 * * [simplify]: Extracting #4: cost 120 inf + 9005 97.524 * * [simplify]: Extracting #5: cost 11 inf + 25203 97.531 * * [simplify]: Extracting #6: cost 0 inf + 25797 97.537 * * [simplify]: Extracting #7: cost 0 inf + 25477 97.544 * [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))) 97.544 * [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 (* 1/2 K)) J))) 97.544 * * * * [progress]: [ 139 / 143 ] simplifiying candidate # 97.544 * [simplify]: Simplifying (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 97.544 * * [simplify]: iters left: 6 (14 enodes) 97.548 * * [simplify]: iters left: 5 (60 enodes) 97.562 * * [simplify]: iters left: 4 (121 enodes) 97.617 * * [simplify]: iters left: 3 (407 enodes) 97.848 * * [simplify]: Extracting #0: cost 1 inf + 0 97.849 * * [simplify]: Extracting #1: cost 138 inf + 0 97.850 * * [simplify]: Extracting #2: cost 291 inf + 126 97.852 * * [simplify]: Extracting #3: cost 261 inf + 2764 97.856 * * [simplify]: Extracting #4: cost 169 inf + 19179 97.872 * * [simplify]: Extracting #5: cost 12 inf + 55307 97.901 * * [simplify]: Extracting #6: cost 0 inf + 57978 97.924 * * [simplify]: Extracting #7: cost 0 inf + 57938 97.939 * [simplify]: Simplified to (/ 1/4 (* (* (/ J U) (cos (* 1/2 K))) (* (/ J U) (cos (* 1/2 K))))) 97.939 * [simplify]: Simplified (2 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (/ 1/4 (* (* (/ J U) (cos (* 1/2 K))) (* (/ J U) (cos (* 1/2 K))))) 1)) -2) (* (cos (* 1/2 K)) J))) 97.939 * * * * [progress]: [ 140 / 143 ] simplifiying candidate # 97.939 * [simplify]: Simplifying (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 97.939 * * [simplify]: iters left: 6 (14 enodes) 97.945 * * [simplify]: iters left: 5 (60 enodes) 97.964 * * [simplify]: iters left: 4 (121 enodes) 98.030 * * [simplify]: iters left: 3 (407 enodes) 98.240 * * [simplify]: Extracting #0: cost 1 inf + 0 98.240 * * [simplify]: Extracting #1: cost 138 inf + 0 98.241 * * [simplify]: Extracting #2: cost 291 inf + 126 98.243 * * [simplify]: Extracting #3: cost 261 inf + 2764 98.247 * * [simplify]: Extracting #4: cost 169 inf + 19179 98.269 * * [simplify]: Extracting #5: cost 12 inf + 55307 98.284 * * [simplify]: Extracting #6: cost 0 inf + 57978 98.299 * * [simplify]: Extracting #7: cost 0 inf + 57938 98.319 * [simplify]: Simplified to (/ 1/4 (* (* (/ J U) (cos (* 1/2 K))) (* (/ J U) (cos (* 1/2 K))))) 98.319 * [simplify]: Simplified (2 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (/ 1/4 (* (* (/ J U) (cos (* 1/2 K))) (* (/ J U) (cos (* 1/2 K))))) 1)) -2) (* (cos (* 1/2 K)) J))) 98.320 * * * * [progress]: [ 141 / 143 ] simplifiying candidate # 98.320 * [simplify]: Simplifying (- J (* 1/8 (* (pow K 2) J))) 98.320 * * [simplify]: iters left: 6 (8 enodes) 98.326 * * [simplify]: iters left: 5 (35 enodes) 98.336 * * [simplify]: iters left: 4 (67 enodes) 98.351 * * [simplify]: iters left: 3 (133 enodes) 98.377 * * [simplify]: iters left: 2 (207 enodes) 98.443 * * [simplify]: iters left: 1 (230 enodes) 98.487 * * [simplify]: Extracting #0: cost 1 inf + 0 98.488 * * [simplify]: Extracting #1: cost 6 inf + 0 98.488 * * [simplify]: Extracting #2: cost 28 inf + 1 98.488 * * [simplify]: Extracting #3: cost 33 inf + 378 98.490 * * [simplify]: Extracting #4: cost 2 inf + 2884 98.492 * * [simplify]: Extracting #5: cost 0 inf + 3130 98.494 * [simplify]: Simplified to (- J (* (* K K) (* J 1/8))) 98.494 * [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))))) 98.494 * * * * [progress]: [ 142 / 143 ] simplifiying candidate # 98.494 * [simplify]: Simplifying (* (cos (* 1/2 K)) J) 98.494 * * [simplify]: iters left: 5 (6 enodes) 98.498 * * [simplify]: iters left: 4 (20 enodes) 98.502 * * [simplify]: Extracting #0: cost 1 inf + 0 98.502 * * [simplify]: Extracting #1: cost 4 inf + 0 98.502 * * [simplify]: Extracting #2: cost 5 inf + 1 98.502 * * [simplify]: Extracting #3: cost 8 inf + 1 98.502 * * [simplify]: Extracting #4: cost 6 inf + 3 98.502 * * [simplify]: Extracting #5: cost 0 inf + 577 98.502 * [simplify]: Simplified to (* (cos (* 1/2 K)) J) 98.502 * [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))) 98.502 * * * * [progress]: [ 143 / 143 ] simplifiying candidate # 98.502 * [simplify]: Simplifying (* (cos (* 1/2 K)) J) 98.502 * * [simplify]: iters left: 5 (6 enodes) 98.504 * * [simplify]: iters left: 4 (20 enodes) 98.508 * * [simplify]: Extracting #0: cost 1 inf + 0 98.508 * * [simplify]: Extracting #1: cost 4 inf + 0 98.508 * * [simplify]: Extracting #2: cost 5 inf + 1 98.508 * * [simplify]: Extracting #3: cost 8 inf + 1 98.508 * * [simplify]: Extracting #4: cost 6 inf + 3 98.508 * * [simplify]: Extracting #5: cost 0 inf + 577 98.508 * [simplify]: Simplified to (* (cos (* 1/2 K)) J) 98.508 * [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))) 98.508 * * * [progress]: adding candidates to table 100.441 * * [progress]: iteration 3 / 4 100.441 * * * [progress]: picking best candidate 100.472 * * * * [pick]: Picked # 100.472 * * * [progress]: localizing error 100.515 * * * [progress]: generating rewritten candidates 100.515 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 100.634 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 101.066 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 101.069 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 101.073 * * * [progress]: generating series expansions 101.073 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 101.074 * [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)) 101.074 * [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 0 101.074 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 101.074 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 101.074 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 101.074 * [taylor]: Taking taylor expansion of 1/4 in J 101.074 * [backup-simplify]: Simplify 1/4 into 1/4 101.074 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 101.074 * [taylor]: Taking taylor expansion of (pow U 2) in J 101.074 * [taylor]: Taking taylor expansion of U in J 101.074 * [backup-simplify]: Simplify U into U 101.074 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 101.074 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 101.074 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 101.074 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 101.074 * [taylor]: Taking taylor expansion of 1/2 in J 101.074 * [backup-simplify]: Simplify 1/2 into 1/2 101.074 * [taylor]: Taking taylor expansion of K in J 101.074 * [backup-simplify]: Simplify K into K 101.074 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 101.074 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 101.074 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 101.074 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 101.074 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 101.075 * [backup-simplify]: Simplify (- 0) into 0 101.075 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 101.075 * [taylor]: Taking taylor expansion of (pow J 2) in J 101.075 * [taylor]: Taking taylor expansion of J in J 101.075 * [backup-simplify]: Simplify 0 into 0 101.075 * [backup-simplify]: Simplify 1 into 1 101.075 * [backup-simplify]: Simplify (* U U) into (pow U 2) 101.075 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 101.075 * [backup-simplify]: Simplify (* 1 1) into 1 101.075 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 101.076 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 101.076 * [taylor]: Taking taylor expansion of 1 in J 101.076 * [backup-simplify]: Simplify 1 into 1 101.076 * [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))) 101.076 * [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))) 101.076 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 101.076 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 101.077 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 101.077 * [backup-simplify]: Simplify (+ 0) into 0 101.077 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 101.078 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 101.078 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 101.078 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 101.079 * [backup-simplify]: Simplify (- 0) into 0 101.079 * [backup-simplify]: Simplify (+ 0 0) into 0 101.079 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 101.079 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 101.080 * [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 0 101.081 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 101.081 * [backup-simplify]: Simplify (+ 0 0) into 0 101.081 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 101.081 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 101.081 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 101.081 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 101.081 * [taylor]: Taking taylor expansion of 1/4 in K 101.081 * [backup-simplify]: Simplify 1/4 into 1/4 101.081 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 101.081 * [taylor]: Taking taylor expansion of (pow U 2) in K 101.081 * [taylor]: Taking taylor expansion of U in K 101.081 * [backup-simplify]: Simplify U into U 101.081 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 101.081 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 101.081 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 101.081 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 101.081 * [taylor]: Taking taylor expansion of 1/2 in K 101.081 * [backup-simplify]: Simplify 1/2 into 1/2 101.081 * [taylor]: Taking taylor expansion of K in K 101.081 * [backup-simplify]: Simplify 0 into 0 101.081 * [backup-simplify]: Simplify 1 into 1 101.082 * [backup-simplify]: Simplify (* 1/2 0) into 0 101.082 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 101.082 * [taylor]: Taking taylor expansion of (pow J 2) in K 101.083 * [taylor]: Taking taylor expansion of J in K 101.083 * [backup-simplify]: Simplify J into J 101.083 * [backup-simplify]: Simplify (* U U) into (pow U 2) 101.083 * [backup-simplify]: Simplify (* 1 1) into 1 101.083 * [backup-simplify]: Simplify (* J J) into (pow J 2) 101.083 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 101.083 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 101.083 * [taylor]: Taking taylor expansion of 1 in K 101.083 * [backup-simplify]: Simplify 1 into 1 101.083 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 101.084 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 101.084 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 101.084 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 101.084 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 101.084 * [backup-simplify]: Simplify (+ 0) into 0 101.085 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 101.086 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 101.086 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 101.086 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 101.087 * [backup-simplify]: Simplify (+ 0 0) into 0 101.087 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 101.087 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 101.087 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 101.087 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 101.087 * [taylor]: Taking taylor expansion of 1/4 in U 101.087 * [backup-simplify]: Simplify 1/4 into 1/4 101.087 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 101.087 * [taylor]: Taking taylor expansion of (pow U 2) in U 101.087 * [taylor]: Taking taylor expansion of U in U 101.087 * [backup-simplify]: Simplify 0 into 0 101.087 * [backup-simplify]: Simplify 1 into 1 101.087 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 101.087 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 101.087 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 101.087 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 101.087 * [taylor]: Taking taylor expansion of 1/2 in U 101.087 * [backup-simplify]: Simplify 1/2 into 1/2 101.087 * [taylor]: Taking taylor expansion of K in U 101.087 * [backup-simplify]: Simplify K into K 101.088 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 101.088 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 101.088 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 101.088 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 101.088 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 101.088 * [backup-simplify]: Simplify (- 0) into 0 101.088 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 101.088 * [taylor]: Taking taylor expansion of (pow J 2) in U 101.088 * [taylor]: Taking taylor expansion of J in U 101.088 * [backup-simplify]: Simplify J into J 101.089 * [backup-simplify]: Simplify (* 1 1) into 1 101.089 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 101.089 * [backup-simplify]: Simplify (* J J) into (pow J 2) 101.089 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 101.089 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 101.089 * [taylor]: Taking taylor expansion of 1 in U 101.089 * [backup-simplify]: Simplify 1 into 1 101.090 * [backup-simplify]: Simplify (+ 0 1) into 1 101.090 * [backup-simplify]: Simplify (sqrt 1) into 1 101.090 * [backup-simplify]: Simplify (+ 0 0) into 0 101.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 101.091 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 101.091 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 101.091 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 101.091 * [taylor]: Taking taylor expansion of 1/4 in U 101.091 * [backup-simplify]: Simplify 1/4 into 1/4 101.091 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 101.091 * [taylor]: Taking taylor expansion of (pow U 2) in U 101.091 * [taylor]: Taking taylor expansion of U in U 101.091 * [backup-simplify]: Simplify 0 into 0 101.091 * [backup-simplify]: Simplify 1 into 1 101.091 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 101.091 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 101.092 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 101.092 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 101.092 * [taylor]: Taking taylor expansion of 1/2 in U 101.092 * [backup-simplify]: Simplify 1/2 into 1/2 101.092 * [taylor]: Taking taylor expansion of K in U 101.092 * [backup-simplify]: Simplify K into K 101.092 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 101.092 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 101.092 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 101.092 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 101.092 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 101.092 * [backup-simplify]: Simplify (- 0) into 0 101.092 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 101.092 * [taylor]: Taking taylor expansion of (pow J 2) in U 101.093 * [taylor]: Taking taylor expansion of J in U 101.093 * [backup-simplify]: Simplify J into J 101.093 * [backup-simplify]: Simplify (* 1 1) into 1 101.093 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 101.093 * [backup-simplify]: Simplify (* J J) into (pow J 2) 101.093 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 101.093 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 101.093 * [taylor]: Taking taylor expansion of 1 in U 101.093 * [backup-simplify]: Simplify 1 into 1 101.094 * [backup-simplify]: Simplify (+ 0 1) into 1 101.094 * [backup-simplify]: Simplify (sqrt 1) into 1 101.095 * [backup-simplify]: Simplify (+ 0 0) into 0 101.095 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 101.095 * [taylor]: Taking taylor expansion of 1 in K 101.096 * [backup-simplify]: Simplify 1 into 1 101.096 * [taylor]: Taking taylor expansion of 1 in J 101.096 * [backup-simplify]: Simplify 1 into 1 101.096 * [taylor]: Taking taylor expansion of 0 in K 101.096 * [backup-simplify]: Simplify 0 into 0 101.096 * [taylor]: Taking taylor expansion of 0 in J 101.096 * [backup-simplify]: Simplify 0 into 0 101.096 * [taylor]: Taking taylor expansion of 0 in J 101.096 * [backup-simplify]: Simplify 0 into 0 101.096 * [backup-simplify]: Simplify 1 into 1 101.096 * [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))) 101.096 * [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)))) 101.098 * [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))) 101.098 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 101.098 * [taylor]: Taking taylor expansion of 1/8 in K 101.098 * [backup-simplify]: Simplify 1/8 into 1/8 101.098 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 101.098 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 101.098 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 101.098 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 101.098 * [taylor]: Taking taylor expansion of 1/2 in K 101.098 * [backup-simplify]: Simplify 1/2 into 1/2 101.098 * [taylor]: Taking taylor expansion of K in K 101.098 * [backup-simplify]: Simplify 0 into 0 101.098 * [backup-simplify]: Simplify 1 into 1 101.098 * [backup-simplify]: Simplify (* 1/2 0) into 0 101.099 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 101.099 * [taylor]: Taking taylor expansion of (pow J 2) in K 101.099 * [taylor]: Taking taylor expansion of J in K 101.099 * [backup-simplify]: Simplify J into J 101.099 * [backup-simplify]: Simplify (* 1 1) into 1 101.100 * [backup-simplify]: Simplify (* J J) into (pow J 2) 101.100 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 101.100 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2)) 101.100 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J 101.100 * [taylor]: Taking taylor expansion of 1/8 in J 101.100 * [backup-simplify]: Simplify 1/8 into 1/8 101.100 * [taylor]: Taking taylor expansion of (pow J 2) in J 101.100 * [taylor]: Taking taylor expansion of J in J 101.100 * [backup-simplify]: Simplify 0 into 0 101.100 * [backup-simplify]: Simplify 1 into 1 101.100 * [backup-simplify]: Simplify (* 1 1) into 1 101.101 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 101.101 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 101.102 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 101.102 * [backup-simplify]: Simplify 0 into 0 101.102 * [taylor]: Taking taylor expansion of 0 in J 101.102 * [backup-simplify]: Simplify 0 into 0 101.102 * [taylor]: Taking taylor expansion of 0 in J 101.102 * [backup-simplify]: Simplify 0 into 0 101.102 * [backup-simplify]: Simplify 0 into 0 101.102 * [backup-simplify]: Simplify 0 into 0 101.102 * [backup-simplify]: Simplify 0 into 0 101.103 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 101.103 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 101.103 * [backup-simplify]: Simplify (+ 0) into 0 101.104 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 101.104 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 101.105 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 101.106 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 101.106 * [backup-simplify]: Simplify (- 0) into 0 101.106 * [backup-simplify]: Simplify (+ 0 0) into 0 101.106 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 101.107 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 101.107 * [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 0 101.108 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 101.108 * [backup-simplify]: Simplify (+ 0 0) into 0 101.109 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 101.109 * [taylor]: Taking taylor expansion of 0 in K 101.109 * [backup-simplify]: Simplify 0 into 0 101.109 * [taylor]: Taking taylor expansion of 0 in J 101.109 * [backup-simplify]: Simplify 0 into 0 101.109 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 101.110 * [backup-simplify]: Simplify (+ 0) into 0 101.110 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 101.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 101.111 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0 101.111 * [taylor]: Taking taylor expansion of 0 in J 101.111 * [backup-simplify]: Simplify 0 into 0 101.111 * [taylor]: Taking taylor expansion of 0 in J 101.111 * [backup-simplify]: Simplify 0 into 0 101.111 * [taylor]: Taking taylor expansion of 0 in J 101.111 * [backup-simplify]: Simplify 0 into 0 101.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 101.113 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 101.113 * [backup-simplify]: Simplify 0 into 0 101.113 * [backup-simplify]: Simplify 0 into 0 101.114 * [backup-simplify]: Simplify 1 into 1 101.114 * [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)) 101.114 * [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 0 101.114 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 101.114 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 101.114 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 101.114 * [taylor]: Taking taylor expansion of 1/4 in J 101.114 * [backup-simplify]: Simplify 1/4 into 1/4 101.114 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 101.114 * [taylor]: Taking taylor expansion of (pow J 2) in J 101.114 * [taylor]: Taking taylor expansion of J in J 101.115 * [backup-simplify]: Simplify 0 into 0 101.115 * [backup-simplify]: Simplify 1 into 1 101.115 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 101.115 * [taylor]: Taking taylor expansion of (pow U 2) in J 101.115 * [taylor]: Taking taylor expansion of U in J 101.115 * [backup-simplify]: Simplify U into U 101.115 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 101.115 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 101.115 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 101.115 * [taylor]: Taking taylor expansion of 1/2 in J 101.115 * [backup-simplify]: Simplify 1/2 into 1/2 101.115 * [taylor]: Taking taylor expansion of K in J 101.115 * [backup-simplify]: Simplify K into K 101.115 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 101.115 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 101.115 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 101.115 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 101.115 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 101.116 * [backup-simplify]: Simplify (- 0) into 0 101.116 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 101.116 * [backup-simplify]: Simplify (* 1 1) into 1 101.116 * [backup-simplify]: Simplify (* U U) into (pow U 2) 101.116 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 101.116 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 101.117 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 101.117 * [taylor]: Taking taylor expansion of 1 in J 101.117 * [backup-simplify]: Simplify 1 into 1 101.117 * [backup-simplify]: Simplify (+ 0 1) into 1 101.117 * [backup-simplify]: Simplify (sqrt 1) into 1 101.118 * [backup-simplify]: Simplify (+ 0 0) into 0 101.118 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 101.118 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 101.118 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 101.118 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 101.119 * [taylor]: Taking taylor expansion of 1/4 in K 101.119 * [backup-simplify]: Simplify 1/4 into 1/4 101.119 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 101.119 * [taylor]: Taking taylor expansion of (pow J 2) in K 101.119 * [taylor]: Taking taylor expansion of J in K 101.119 * [backup-simplify]: Simplify J into J 101.119 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 101.119 * [taylor]: Taking taylor expansion of (pow U 2) in K 101.119 * [taylor]: Taking taylor expansion of U in K 101.119 * [backup-simplify]: Simplify U into U 101.119 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 101.119 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 101.119 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 101.119 * [taylor]: Taking taylor expansion of 1/2 in K 101.119 * [backup-simplify]: Simplify 1/2 into 1/2 101.119 * [taylor]: Taking taylor expansion of K in K 101.119 * [backup-simplify]: Simplify 0 into 0 101.119 * [backup-simplify]: Simplify 1 into 1 101.119 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 101.119 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 101.119 * [backup-simplify]: Simplify (* J J) into (pow J 2) 101.119 * [backup-simplify]: Simplify (* U U) into (pow U 2) 101.120 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 101.120 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 101.120 * [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))) 101.120 * [taylor]: Taking taylor expansion of 1 in K 101.120 * [backup-simplify]: Simplify 1 into 1 101.120 * [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)))) 101.121 * [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) 101.121 * [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)) 101.121 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 101.121 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 101.121 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 101.121 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 101.122 * [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 0 101.123 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 101.125 * [backup-simplify]: Simplify (+ 0 0) into 0 101.126 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 101.126 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 101.126 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 101.126 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 101.126 * [taylor]: Taking taylor expansion of 1/4 in U 101.126 * [backup-simplify]: Simplify 1/4 into 1/4 101.126 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 101.126 * [taylor]: Taking taylor expansion of (pow J 2) in U 101.126 * [taylor]: Taking taylor expansion of J in U 101.126 * [backup-simplify]: Simplify J into J 101.126 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 101.126 * [taylor]: Taking taylor expansion of (pow U 2) in U 101.126 * [taylor]: Taking taylor expansion of U in U 101.126 * [backup-simplify]: Simplify 0 into 0 101.126 * [backup-simplify]: Simplify 1 into 1 101.126 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 101.126 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 101.126 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 101.126 * [taylor]: Taking taylor expansion of 1/2 in U 101.126 * [backup-simplify]: Simplify 1/2 into 1/2 101.126 * [taylor]: Taking taylor expansion of K in U 101.126 * [backup-simplify]: Simplify K into K 101.126 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 101.127 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 101.127 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 101.127 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 101.127 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 101.127 * [backup-simplify]: Simplify (- 0) into 0 101.127 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 101.127 * [backup-simplify]: Simplify (* J J) into (pow J 2) 101.128 * [backup-simplify]: Simplify (* 1 1) into 1 101.128 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 101.128 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 101.128 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 101.128 * [taylor]: Taking taylor expansion of 1 in U 101.128 * [backup-simplify]: Simplify 1 into 1 101.128 * [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))) 101.129 * [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))) 101.129 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 101.129 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 101.129 * [backup-simplify]: Simplify (+ 0) into 0 101.130 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 101.130 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 101.131 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 101.131 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 101.131 * [backup-simplify]: Simplify (- 0) into 0 101.132 * [backup-simplify]: Simplify (+ 0 0) into 0 101.132 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 101.133 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 101.133 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 101.133 * [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 0 101.134 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 101.134 * [backup-simplify]: Simplify (+ 0 0) into 0 101.135 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 101.135 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 101.135 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 101.135 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 101.135 * [taylor]: Taking taylor expansion of 1/4 in U 101.135 * [backup-simplify]: Simplify 1/4 into 1/4 101.135 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 101.135 * [taylor]: Taking taylor expansion of (pow J 2) in U 101.135 * [taylor]: Taking taylor expansion of J in U 101.135 * [backup-simplify]: Simplify J into J 101.135 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 101.135 * [taylor]: Taking taylor expansion of (pow U 2) in U 101.135 * [taylor]: Taking taylor expansion of U in U 101.135 * [backup-simplify]: Simplify 0 into 0 101.135 * [backup-simplify]: Simplify 1 into 1 101.135 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 101.135 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 101.135 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 101.135 * [taylor]: Taking taylor expansion of 1/2 in U 101.135 * [backup-simplify]: Simplify 1/2 into 1/2 101.135 * [taylor]: Taking taylor expansion of K in U 101.135 * [backup-simplify]: Simplify K into K 101.135 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 101.135 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 101.135 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 101.135 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 101.136 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 101.136 * [backup-simplify]: Simplify (- 0) into 0 101.136 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 101.136 * [backup-simplify]: Simplify (* J J) into (pow J 2) 101.136 * [backup-simplify]: Simplify (* 1 1) into 1 101.137 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 101.137 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 101.137 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 101.137 * [taylor]: Taking taylor expansion of 1 in U 101.137 * [backup-simplify]: Simplify 1 into 1 101.137 * [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))) 101.137 * [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))) 101.138 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 101.138 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 101.138 * [backup-simplify]: Simplify (+ 0) into 0 101.139 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 101.139 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 101.140 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 101.141 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 101.141 * [backup-simplify]: Simplify (- 0) into 0 101.141 * [backup-simplify]: Simplify (+ 0 0) into 0 101.141 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 101.142 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 101.143 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 101.143 * [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 0 101.144 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 101.144 * [backup-simplify]: Simplify (+ 0 0) into 0 101.144 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 101.144 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K 101.145 * [taylor]: Taking taylor expansion of 1/2 in K 101.145 * [backup-simplify]: Simplify 1/2 into 1/2 101.145 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K 101.145 * [taylor]: Taking taylor expansion of J in K 101.145 * [backup-simplify]: Simplify J into J 101.145 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 101.145 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 101.145 * [taylor]: Taking taylor expansion of 1/2 in K 101.145 * [backup-simplify]: Simplify 1/2 into 1/2 101.145 * [taylor]: Taking taylor expansion of K in K 101.145 * [backup-simplify]: Simplify 0 into 0 101.145 * [backup-simplify]: Simplify 1 into 1 101.145 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 101.145 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 101.145 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 101.146 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 101.146 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 101.146 * [taylor]: Taking taylor expansion of 1/2 in J 101.146 * [backup-simplify]: Simplify 1/2 into 1/2 101.146 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 101.146 * [taylor]: Taking taylor expansion of J in J 101.146 * [backup-simplify]: Simplify 0 into 0 101.146 * [backup-simplify]: Simplify 1 into 1 101.146 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 101.146 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 101.146 * [taylor]: Taking taylor expansion of 1/2 in J 101.146 * [backup-simplify]: Simplify 1/2 into 1/2 101.146 * [taylor]: Taking taylor expansion of K in J 101.146 * [backup-simplify]: Simplify K into K 101.146 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 101.146 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 101.146 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 101.146 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 101.146 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 101.147 * [backup-simplify]: Simplify (- 0) into 0 101.147 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 101.147 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 101.147 * [taylor]: Taking taylor expansion of 0 in K 101.147 * [backup-simplify]: Simplify 0 into 0 101.147 * [taylor]: Taking taylor expansion of 0 in J 101.147 * [backup-simplify]: Simplify 0 into 0 101.147 * [backup-simplify]: Simplify 0 into 0 101.147 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 101.148 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 101.148 * [taylor]: Taking taylor expansion of 0 in J 101.148 * [backup-simplify]: Simplify 0 into 0 101.148 * [backup-simplify]: Simplify 0 into 0 101.148 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 101.148 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 101.149 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 101.149 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 101.150 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 101.150 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 101.151 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 101.152 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 101.152 * [backup-simplify]: Simplify (- 0) into 0 101.153 * [backup-simplify]: Simplify (+ 0 0) into 0 101.153 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 101.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 101.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 101.155 * [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 0 101.156 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 101.157 * [backup-simplify]: Simplify (+ 0 1) into 1 101.158 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 101.158 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 101.158 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 101.158 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 101.158 * [taylor]: Taking taylor expansion of 1/2 in K 101.158 * [backup-simplify]: Simplify 1/2 into 1/2 101.158 * [taylor]: Taking taylor expansion of K in K 101.158 * [backup-simplify]: Simplify 0 into 0 101.158 * [backup-simplify]: Simplify 1 into 1 101.159 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 101.159 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 101.159 * [taylor]: Taking taylor expansion of J in K 101.159 * [backup-simplify]: Simplify J into J 101.159 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 101.159 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 101.159 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 101.159 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 101.159 * [taylor]: Taking taylor expansion of 1/2 in J 101.159 * [backup-simplify]: Simplify 1/2 into 1/2 101.159 * [taylor]: Taking taylor expansion of K in J 101.159 * [backup-simplify]: Simplify K into K 101.159 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 101.159 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 101.159 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 101.159 * [taylor]: Taking taylor expansion of J in J 101.159 * [backup-simplify]: Simplify 0 into 0 101.159 * [backup-simplify]: Simplify 1 into 1 101.159 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 101.160 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 101.160 * [backup-simplify]: Simplify (- 0) into 0 101.160 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 101.160 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 101.161 * [backup-simplify]: Simplify (+ 0) into 0 101.161 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 101.161 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 101.162 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 101.163 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 101.163 * [backup-simplify]: Simplify (- 0) into 0 101.163 * [backup-simplify]: Simplify (+ 0 0) into 0 101.164 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 101.164 * [backup-simplify]: Simplify 0 into 0 101.164 * [taylor]: Taking taylor expansion of 0 in J 101.164 * [backup-simplify]: Simplify 0 into 0 101.165 * [backup-simplify]: Simplify 0 into 0 101.165 * [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 0 101.166 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 101.166 * [taylor]: Taking taylor expansion of 0 in J 101.166 * [backup-simplify]: Simplify 0 into 0 101.166 * [backup-simplify]: Simplify 0 into 0 101.166 * [backup-simplify]: Simplify 0 into 0 101.166 * [backup-simplify]: Simplify 0 into 0 101.166 * [backup-simplify]: Simplify (+ 0) into 0 101.167 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 101.167 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 101.168 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 101.168 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 101.169 * [backup-simplify]: Simplify (- 0) into 0 101.169 * [backup-simplify]: Simplify (+ 0 0) into 0 101.169 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 101.170 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 101.170 * [backup-simplify]: Simplify 0 into 0 101.170 * [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))) 101.171 * [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)))))) 101.171 * [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 0 101.171 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 101.171 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 101.171 * [taylor]: Taking taylor expansion of 1 in J 101.171 * [backup-simplify]: Simplify 1 into 1 101.171 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 101.171 * [taylor]: Taking taylor expansion of 1/4 in J 101.171 * [backup-simplify]: Simplify 1/4 into 1/4 101.171 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 101.171 * [taylor]: Taking taylor expansion of (pow J 2) in J 101.171 * [taylor]: Taking taylor expansion of J in J 101.171 * [backup-simplify]: Simplify 0 into 0 101.171 * [backup-simplify]: Simplify 1 into 1 101.171 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 101.171 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 101.171 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 101.171 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 101.171 * [taylor]: Taking taylor expansion of -1/2 in J 101.171 * [backup-simplify]: Simplify -1/2 into -1/2 101.171 * [taylor]: Taking taylor expansion of K in J 101.171 * [backup-simplify]: Simplify K into K 101.172 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 101.172 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 101.172 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 101.172 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 101.172 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 101.172 * [backup-simplify]: Simplify (- 0) into 0 101.172 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 101.172 * [taylor]: Taking taylor expansion of (pow U 2) in J 101.172 * [taylor]: Taking taylor expansion of U in J 101.172 * [backup-simplify]: Simplify U into U 101.173 * [backup-simplify]: Simplify (* 1 1) into 1 101.173 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 101.173 * [backup-simplify]: Simplify (* U U) into (pow U 2) 101.173 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 101.173 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 101.174 * [backup-simplify]: Simplify (+ 1 0) into 1 101.174 * [backup-simplify]: Simplify (sqrt 1) into 1 101.175 * [backup-simplify]: Simplify (+ 0 0) into 0 101.175 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 101.175 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 101.175 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 101.175 * [taylor]: Taking taylor expansion of 1 in K 101.175 * [backup-simplify]: Simplify 1 into 1 101.175 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 101.176 * [taylor]: Taking taylor expansion of 1/4 in K 101.176 * [backup-simplify]: Simplify 1/4 into 1/4 101.176 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 101.176 * [taylor]: Taking taylor expansion of (pow J 2) in K 101.176 * [taylor]: Taking taylor expansion of J in K 101.176 * [backup-simplify]: Simplify J into J 101.176 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 101.176 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 101.176 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 101.176 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 101.176 * [taylor]: Taking taylor expansion of -1/2 in K 101.176 * [backup-simplify]: Simplify -1/2 into -1/2 101.176 * [taylor]: Taking taylor expansion of K in K 101.176 * [backup-simplify]: Simplify 0 into 0 101.176 * [backup-simplify]: Simplify 1 into 1 101.176 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 101.176 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 101.176 * [taylor]: Taking taylor expansion of (pow U 2) in K 101.176 * [taylor]: Taking taylor expansion of U in K 101.177 * [backup-simplify]: Simplify U into U 101.177 * [backup-simplify]: Simplify (* J J) into (pow J 2) 101.177 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 101.177 * [backup-simplify]: Simplify (* U U) into (pow U 2) 101.177 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 101.177 * [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))) 101.177 * [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)))) 101.178 * [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))))) 101.178 * [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)))))) 101.178 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 101.178 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 101.179 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 101.179 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 101.179 * [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 0 101.180 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 101.181 * [backup-simplify]: Simplify (+ 0 0) into 0 101.181 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 101.181 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 101.181 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 101.181 * [taylor]: Taking taylor expansion of 1 in U 101.181 * [backup-simplify]: Simplify 1 into 1 101.181 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 101.181 * [taylor]: Taking taylor expansion of 1/4 in U 101.181 * [backup-simplify]: Simplify 1/4 into 1/4 101.181 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 101.181 * [taylor]: Taking taylor expansion of (pow J 2) in U 101.181 * [taylor]: Taking taylor expansion of J in U 101.182 * [backup-simplify]: Simplify J into J 101.182 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 101.182 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 101.182 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 101.182 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 101.182 * [taylor]: Taking taylor expansion of -1/2 in U 101.182 * [backup-simplify]: Simplify -1/2 into -1/2 101.182 * [taylor]: Taking taylor expansion of K in U 101.182 * [backup-simplify]: Simplify K into K 101.182 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 101.182 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 101.182 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 101.182 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 101.182 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 101.183 * [backup-simplify]: Simplify (- 0) into 0 101.183 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 101.183 * [taylor]: Taking taylor expansion of (pow U 2) in U 101.183 * [taylor]: Taking taylor expansion of U in U 101.183 * [backup-simplify]: Simplify 0 into 0 101.183 * [backup-simplify]: Simplify 1 into 1 101.183 * [backup-simplify]: Simplify (* J J) into (pow J 2) 101.183 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 101.184 * [backup-simplify]: Simplify (* 1 1) into 1 101.184 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 101.184 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 101.184 * [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))) 101.184 * [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))) 101.185 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 101.185 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 101.185 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 101.186 * [backup-simplify]: Simplify (+ 0) into 0 101.186 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 101.186 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 101.187 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 101.188 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 101.188 * [backup-simplify]: Simplify (- 0) into 0 101.189 * [backup-simplify]: Simplify (+ 0 0) into 0 101.189 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 101.189 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 101.190 * [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 0 101.190 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 101.191 * [backup-simplify]: Simplify (+ 0 0) into 0 101.191 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 101.191 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 101.191 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 101.191 * [taylor]: Taking taylor expansion of 1 in U 101.191 * [backup-simplify]: Simplify 1 into 1 101.191 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 101.191 * [taylor]: Taking taylor expansion of 1/4 in U 101.191 * [backup-simplify]: Simplify 1/4 into 1/4 101.191 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 101.191 * [taylor]: Taking taylor expansion of (pow J 2) in U 101.191 * [taylor]: Taking taylor expansion of J in U 101.191 * [backup-simplify]: Simplify J into J 101.191 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 101.191 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 101.191 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 101.191 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 101.192 * [taylor]: Taking taylor expansion of -1/2 in U 101.192 * [backup-simplify]: Simplify -1/2 into -1/2 101.192 * [taylor]: Taking taylor expansion of K in U 101.192 * [backup-simplify]: Simplify K into K 101.192 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 101.192 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 101.192 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 101.192 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 101.192 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 101.193 * [backup-simplify]: Simplify (- 0) into 0 101.193 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 101.193 * [taylor]: Taking taylor expansion of (pow U 2) in U 101.193 * [taylor]: Taking taylor expansion of U in U 101.193 * [backup-simplify]: Simplify 0 into 0 101.193 * [backup-simplify]: Simplify 1 into 1 101.193 * [backup-simplify]: Simplify (* J J) into (pow J 2) 101.193 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 101.193 * [backup-simplify]: Simplify (* 1 1) into 1 101.194 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 101.194 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 101.194 * [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))) 101.194 * [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))) 101.194 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 101.195 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 101.195 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 101.196 * [backup-simplify]: Simplify (+ 0) into 0 101.196 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 101.196 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 101.197 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 101.197 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 101.197 * [backup-simplify]: Simplify (- 0) into 0 101.197 * [backup-simplify]: Simplify (+ 0 0) into 0 101.197 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 101.198 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 101.198 * [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 0 101.198 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 101.199 * [backup-simplify]: Simplify (+ 0 0) into 0 101.199 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 101.199 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K 101.199 * [taylor]: Taking taylor expansion of 1/2 in K 101.199 * [backup-simplify]: Simplify 1/2 into 1/2 101.199 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K 101.199 * [taylor]: Taking taylor expansion of J in K 101.199 * [backup-simplify]: Simplify J into J 101.199 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 101.199 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 101.199 * [taylor]: Taking taylor expansion of -1/2 in K 101.199 * [backup-simplify]: Simplify -1/2 into -1/2 101.199 * [taylor]: Taking taylor expansion of K in K 101.199 * [backup-simplify]: Simplify 0 into 0 101.199 * [backup-simplify]: Simplify 1 into 1 101.199 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 101.199 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 101.199 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 101.200 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 101.200 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 101.200 * [taylor]: Taking taylor expansion of 1/2 in J 101.200 * [backup-simplify]: Simplify 1/2 into 1/2 101.200 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 101.200 * [taylor]: Taking taylor expansion of J in J 101.200 * [backup-simplify]: Simplify 0 into 0 101.200 * [backup-simplify]: Simplify 1 into 1 101.200 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 101.200 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 101.200 * [taylor]: Taking taylor expansion of -1/2 in J 101.200 * [backup-simplify]: Simplify -1/2 into -1/2 101.200 * [taylor]: Taking taylor expansion of K in J 101.200 * [backup-simplify]: Simplify K into K 101.200 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 101.200 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 101.200 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 101.200 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 101.200 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 101.201 * [backup-simplify]: Simplify (- 0) into 0 101.201 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 101.201 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 101.201 * [taylor]: Taking taylor expansion of 0 in K 101.201 * [backup-simplify]: Simplify 0 into 0 101.201 * [taylor]: Taking taylor expansion of 0 in J 101.201 * [backup-simplify]: Simplify 0 into 0 101.201 * [backup-simplify]: Simplify 0 into 0 101.202 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 101.202 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 101.202 * [taylor]: Taking taylor expansion of 0 in J 101.202 * [backup-simplify]: Simplify 0 into 0 101.202 * [backup-simplify]: Simplify 0 into 0 101.202 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 101.202 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 101.203 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 101.204 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 101.205 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 101.205 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 101.206 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 101.206 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 101.207 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 101.207 * [backup-simplify]: Simplify (- 0) into 0 101.208 * [backup-simplify]: Simplify (+ 0 0) into 0 101.208 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 101.209 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 101.209 * [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 0 101.210 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 101.211 * [backup-simplify]: Simplify (+ 1 0) into 1 101.212 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 101.212 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 101.212 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 101.212 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 101.212 * [taylor]: Taking taylor expansion of -1/2 in K 101.212 * [backup-simplify]: Simplify -1/2 into -1/2 101.212 * [taylor]: Taking taylor expansion of K in K 101.212 * [backup-simplify]: Simplify 0 into 0 101.212 * [backup-simplify]: Simplify 1 into 1 101.212 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 101.212 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 101.212 * [taylor]: Taking taylor expansion of J in K 101.212 * [backup-simplify]: Simplify J into J 101.212 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 101.212 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 101.212 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 101.213 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 101.213 * [taylor]: Taking taylor expansion of -1/2 in J 101.213 * [backup-simplify]: Simplify -1/2 into -1/2 101.213 * [taylor]: Taking taylor expansion of K in J 101.213 * [backup-simplify]: Simplify K into K 101.213 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 101.213 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 101.213 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 101.213 * [taylor]: Taking taylor expansion of J in J 101.213 * [backup-simplify]: Simplify 0 into 0 101.213 * [backup-simplify]: Simplify 1 into 1 101.213 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 101.213 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 101.213 * [backup-simplify]: Simplify (- 0) into 0 101.213 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 101.214 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 101.214 * [backup-simplify]: Simplify (+ 0) into 0 101.214 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 101.215 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 101.215 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 101.216 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 101.216 * [backup-simplify]: Simplify (- 0) into 0 101.216 * [backup-simplify]: Simplify (+ 0 0) into 0 101.217 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 101.217 * [backup-simplify]: Simplify 0 into 0 101.217 * [taylor]: Taking taylor expansion of 0 in J 101.217 * [backup-simplify]: Simplify 0 into 0 101.217 * [backup-simplify]: Simplify 0 into 0 101.218 * [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 0 101.219 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 101.219 * [taylor]: Taking taylor expansion of 0 in J 101.219 * [backup-simplify]: Simplify 0 into 0 101.219 * [backup-simplify]: Simplify 0 into 0 101.219 * [backup-simplify]: Simplify 0 into 0 101.219 * [backup-simplify]: Simplify 0 into 0 101.219 * [backup-simplify]: Simplify (+ 0) into 0 101.220 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 101.220 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 101.221 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 101.221 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 101.222 * [backup-simplify]: Simplify (- 0) into 0 101.222 * [backup-simplify]: Simplify (+ 0 0) into 0 101.222 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 101.223 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 101.223 * [backup-simplify]: Simplify 0 into 0 101.223 * [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))) 101.223 * * * * [progress]: [ 2 / 4 ] generating series at (2) 101.224 * [backup-simplify]: Simplify (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J))) (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)))) 101.224 * [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 0 101.224 * [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 101.224 * [taylor]: Taking taylor expansion of -2 in J 101.224 * [backup-simplify]: Simplify -2 into -2 101.224 * [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 101.224 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 101.224 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 101.224 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 101.224 * [taylor]: Taking taylor expansion of 1/2 in J 101.224 * [backup-simplify]: Simplify 1/2 into 1/2 101.224 * [taylor]: Taking taylor expansion of K in J 101.224 * [backup-simplify]: Simplify K into K 101.224 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 101.224 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 101.224 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 101.224 * [taylor]: Taking taylor expansion of J in J 101.224 * [backup-simplify]: Simplify 0 into 0 101.224 * [backup-simplify]: Simplify 1 into 1 101.224 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 101.224 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 101.224 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 101.225 * [taylor]: Taking taylor expansion of 1/4 in J 101.225 * [backup-simplify]: Simplify 1/4 into 1/4 101.225 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 101.225 * [taylor]: Taking taylor expansion of (pow U 2) in J 101.225 * [taylor]: Taking taylor expansion of U in J 101.225 * [backup-simplify]: Simplify U into U 101.225 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 101.225 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 101.225 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 101.225 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 101.225 * [taylor]: Taking taylor expansion of 1/2 in J 101.225 * [backup-simplify]: Simplify 1/2 into 1/2 101.225 * [taylor]: Taking taylor expansion of K in J 101.225 * [backup-simplify]: Simplify K into K 101.225 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 101.225 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 101.225 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 101.225 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 101.225 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 101.226 * [backup-simplify]: Simplify (- 0) into 0 101.226 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 101.226 * [taylor]: Taking taylor expansion of (pow J 2) in J 101.226 * [taylor]: Taking taylor expansion of J in J 101.226 * [backup-simplify]: Simplify 0 into 0 101.226 * [backup-simplify]: Simplify 1 into 1 101.226 * [backup-simplify]: Simplify (* U U) into (pow U 2) 101.226 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 101.226 * [backup-simplify]: Simplify (* 1 1) into 1 101.226 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 101.227 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 101.227 * [taylor]: Taking taylor expansion of 1 in J 101.227 * [backup-simplify]: Simplify 1 into 1 101.227 * [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))) 101.227 * [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))) 101.227 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 101.227 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 101.228 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 101.228 * [backup-simplify]: Simplify (+ 0) into 0 101.229 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 101.229 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 101.230 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 101.230 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 101.231 * [backup-simplify]: Simplify (- 0) into 0 101.231 * [backup-simplify]: Simplify (+ 0 0) into 0 101.231 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 101.232 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 101.232 * [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 0 101.233 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 101.233 * [backup-simplify]: Simplify (+ 0 0) into 0 101.234 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 101.234 * [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 101.234 * [taylor]: Taking taylor expansion of -2 in K 101.234 * [backup-simplify]: Simplify -2 into -2 101.234 * [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 101.234 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 101.234 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 101.234 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 101.234 * [taylor]: Taking taylor expansion of 1/2 in K 101.234 * [backup-simplify]: Simplify 1/2 into 1/2 101.234 * [taylor]: Taking taylor expansion of K in K 101.234 * [backup-simplify]: Simplify 0 into 0 101.234 * [backup-simplify]: Simplify 1 into 1 101.234 * [backup-simplify]: Simplify (* 1/2 0) into 0 101.235 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 101.235 * [taylor]: Taking taylor expansion of J in K 101.235 * [backup-simplify]: Simplify J into J 101.235 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 101.235 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 101.235 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 101.235 * [taylor]: Taking taylor expansion of 1/4 in K 101.235 * [backup-simplify]: Simplify 1/4 into 1/4 101.235 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 101.235 * [taylor]: Taking taylor expansion of (pow U 2) in K 101.235 * [taylor]: Taking taylor expansion of U in K 101.235 * [backup-simplify]: Simplify U into U 101.235 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 101.235 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 101.235 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 101.236 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 101.236 * [taylor]: Taking taylor expansion of 1/2 in K 101.236 * [backup-simplify]: Simplify 1/2 into 1/2 101.236 * [taylor]: Taking taylor expansion of K in K 101.236 * [backup-simplify]: Simplify 0 into 0 101.236 * [backup-simplify]: Simplify 1 into 1 101.236 * [backup-simplify]: Simplify (* 1/2 0) into 0 101.237 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 101.237 * [taylor]: Taking taylor expansion of (pow J 2) in K 101.237 * [taylor]: Taking taylor expansion of J in K 101.237 * [backup-simplify]: Simplify J into J 101.237 * [backup-simplify]: Simplify (* U U) into (pow U 2) 101.237 * [backup-simplify]: Simplify (* 1 1) into 1 101.237 * [backup-simplify]: Simplify (* J J) into (pow J 2) 101.238 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 101.238 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 101.238 * [taylor]: Taking taylor expansion of 1 in K 101.238 * [backup-simplify]: Simplify 1 into 1 101.238 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 101.238 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 101.238 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 101.238 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 101.239 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 101.239 * [backup-simplify]: Simplify (+ 0) into 0 101.240 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 101.240 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 101.240 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 101.241 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 101.241 * [backup-simplify]: Simplify (+ 0 0) into 0 101.242 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 101.242 * [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 101.242 * [taylor]: Taking taylor expansion of -2 in U 101.242 * [backup-simplify]: Simplify -2 into -2 101.242 * [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 101.242 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 101.242 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 101.242 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 101.242 * [taylor]: Taking taylor expansion of 1/2 in U 101.242 * [backup-simplify]: Simplify 1/2 into 1/2 101.242 * [taylor]: Taking taylor expansion of K in U 101.242 * [backup-simplify]: Simplify K into K 101.242 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 101.242 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 101.242 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 101.242 * [taylor]: Taking taylor expansion of J in U 101.242 * [backup-simplify]: Simplify J into J 101.242 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 101.242 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 101.242 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 101.242 * [taylor]: Taking taylor expansion of 1/4 in U 101.242 * [backup-simplify]: Simplify 1/4 into 1/4 101.242 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 101.243 * [taylor]: Taking taylor expansion of (pow U 2) in U 101.243 * [taylor]: Taking taylor expansion of U in U 101.243 * [backup-simplify]: Simplify 0 into 0 101.243 * [backup-simplify]: Simplify 1 into 1 101.243 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 101.243 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 101.243 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 101.243 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 101.243 * [taylor]: Taking taylor expansion of 1/2 in U 101.243 * [backup-simplify]: Simplify 1/2 into 1/2 101.243 * [taylor]: Taking taylor expansion of K in U 101.243 * [backup-simplify]: Simplify K into K 101.243 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 101.243 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 101.243 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 101.243 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 101.243 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 101.244 * [backup-simplify]: Simplify (- 0) into 0 101.244 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 101.244 * [taylor]: Taking taylor expansion of (pow J 2) in U 101.244 * [taylor]: Taking taylor expansion of J in U 101.244 * [backup-simplify]: Simplify J into J 101.244 * [backup-simplify]: Simplify (* 1 1) into 1 101.244 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 101.244 * [backup-simplify]: Simplify (* J J) into (pow J 2) 101.244 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 101.245 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 101.245 * [taylor]: Taking taylor expansion of 1 in U 101.245 * [backup-simplify]: Simplify 1 into 1 101.245 * [backup-simplify]: Simplify (+ 0 1) into 1 101.246 * [backup-simplify]: Simplify (sqrt 1) into 1 101.246 * [backup-simplify]: Simplify (+ 0 0) into 0 101.247 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 101.247 * [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 101.247 * [taylor]: Taking taylor expansion of -2 in U 101.247 * [backup-simplify]: Simplify -2 into -2 101.247 * [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 101.247 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 101.247 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 101.247 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 101.247 * [taylor]: Taking taylor expansion of 1/2 in U 101.247 * [backup-simplify]: Simplify 1/2 into 1/2 101.247 * [taylor]: Taking taylor expansion of K in U 101.247 * [backup-simplify]: Simplify K into K 101.247 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 101.247 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 101.247 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 101.247 * [taylor]: Taking taylor expansion of J in U 101.247 * [backup-simplify]: Simplify J into J 101.247 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 101.247 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 101.247 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 101.247 * [taylor]: Taking taylor expansion of 1/4 in U 101.247 * [backup-simplify]: Simplify 1/4 into 1/4 101.247 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 101.247 * [taylor]: Taking taylor expansion of (pow U 2) in U 101.247 * [taylor]: Taking taylor expansion of U in U 101.247 * [backup-simplify]: Simplify 0 into 0 101.247 * [backup-simplify]: Simplify 1 into 1 101.247 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 101.248 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 101.248 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 101.248 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 101.248 * [taylor]: Taking taylor expansion of 1/2 in U 101.248 * [backup-simplify]: Simplify 1/2 into 1/2 101.248 * [taylor]: Taking taylor expansion of K in U 101.248 * [backup-simplify]: Simplify K into K 101.248 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 101.248 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 101.248 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 101.248 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 101.248 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 101.248 * [backup-simplify]: Simplify (- 0) into 0 101.248 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 101.248 * [taylor]: Taking taylor expansion of (pow J 2) in U 101.248 * [taylor]: Taking taylor expansion of J in U 101.248 * [backup-simplify]: Simplify J into J 101.248 * [backup-simplify]: Simplify (* 1 1) into 1 101.249 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 101.249 * [backup-simplify]: Simplify (* J J) into (pow J 2) 101.249 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 101.249 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 101.249 * [taylor]: Taking taylor expansion of 1 in U 101.249 * [backup-simplify]: Simplify 1 into 1 101.249 * [backup-simplify]: Simplify (+ 0 1) into 1 101.249 * [backup-simplify]: Simplify (sqrt 1) into 1 101.250 * [backup-simplify]: Simplify (+ 0 0) into 0 101.250 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 101.250 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 101.250 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 101.250 * [backup-simplify]: Simplify (- 0) into 0 101.251 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 101.251 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 101.251 * [backup-simplify]: Simplify (* (* (cos (* 1/2 K)) J) 1) into (* (cos (* 1/2 K)) J) 101.251 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J)) 101.251 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in K 101.251 * [taylor]: Taking taylor expansion of -2 in K 101.251 * [backup-simplify]: Simplify -2 into -2 101.251 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 101.251 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 101.251 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 101.251 * [taylor]: Taking taylor expansion of 1/2 in K 101.251 * [backup-simplify]: Simplify 1/2 into 1/2 101.251 * [taylor]: Taking taylor expansion of K in K 101.251 * [backup-simplify]: Simplify 0 into 0 101.251 * [backup-simplify]: Simplify 1 into 1 101.251 * [backup-simplify]: Simplify (* 1/2 0) into 0 101.252 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 101.252 * [taylor]: Taking taylor expansion of J in K 101.252 * [backup-simplify]: Simplify J into J 101.252 * [backup-simplify]: Simplify (* 1 J) into J 101.252 * [backup-simplify]: Simplify (* -2 J) into (* -2 J) 101.252 * [taylor]: Taking taylor expansion of (* -2 J) in J 101.252 * [taylor]: Taking taylor expansion of -2 in J 101.252 * [backup-simplify]: Simplify -2 into -2 101.252 * [taylor]: Taking taylor expansion of J in J 101.252 * [backup-simplify]: Simplify 0 into 0 101.252 * [backup-simplify]: Simplify 1 into 1 101.252 * [backup-simplify]: Simplify (+ 0) into 0 101.252 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 101.253 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 101.253 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 101.253 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 101.254 * [backup-simplify]: Simplify (- 0) into 0 101.254 * [backup-simplify]: Simplify (+ 0 0) into 0 101.254 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 101.254 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (* 0 1)) into 0 101.255 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0 101.255 * [taylor]: Taking taylor expansion of 0 in K 101.255 * [backup-simplify]: Simplify 0 into 0 101.255 * [taylor]: Taking taylor expansion of 0 in J 101.255 * [backup-simplify]: Simplify 0 into 0 101.255 * [backup-simplify]: Simplify (+ 0) into 0 101.255 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 101.256 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 J)) into 0 101.256 * [taylor]: Taking taylor expansion of 0 in J 101.256 * [backup-simplify]: Simplify 0 into 0 101.256 * [backup-simplify]: Simplify (* -2 0) into 0 101.256 * [backup-simplify]: Simplify 0 into 0 101.256 * [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))) 101.256 * [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)))) 101.257 * [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))) 101.258 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 101.258 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 101.259 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 101.259 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 101.259 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 101.260 * [backup-simplify]: Simplify (- 0) into 0 101.260 * [backup-simplify]: Simplify (+ 0 0) into 0 101.260 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0 101.261 * [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))) 101.261 * [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)))) 101.261 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in K 101.261 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in K 101.261 * [taylor]: Taking taylor expansion of 1/4 in K 101.261 * [backup-simplify]: Simplify 1/4 into 1/4 101.261 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in K 101.261 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 101.261 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 101.262 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 101.262 * [taylor]: Taking taylor expansion of 1/2 in K 101.262 * [backup-simplify]: Simplify 1/2 into 1/2 101.262 * [taylor]: Taking taylor expansion of K in K 101.262 * [backup-simplify]: Simplify 0 into 0 101.262 * [backup-simplify]: Simplify 1 into 1 101.262 * [backup-simplify]: Simplify (* 1/2 0) into 0 101.262 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 101.262 * [taylor]: Taking taylor expansion of J in K 101.262 * [backup-simplify]: Simplify J into J 101.262 * [backup-simplify]: Simplify (* 1 J) into J 101.262 * [backup-simplify]: Simplify (/ 1 J) into (/ 1 J) 101.262 * [backup-simplify]: Simplify (* 1/4 (/ 1 J)) into (/ 1/4 J) 101.263 * [backup-simplify]: Simplify (- (/ 1/4 J)) into (- (* 1/4 (/ 1 J))) 101.263 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 J))) in J 101.263 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 J)) in J 101.263 * [taylor]: Taking taylor expansion of 1/4 in J 101.263 * [backup-simplify]: Simplify 1/4 into 1/4 101.263 * [taylor]: Taking taylor expansion of (/ 1 J) in J 101.263 * [taylor]: Taking taylor expansion of J in J 101.263 * [backup-simplify]: Simplify 0 into 0 101.263 * [backup-simplify]: Simplify 1 into 1 101.263 * [backup-simplify]: Simplify (/ 1 1) into 1 101.263 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 101.263 * [backup-simplify]: Simplify (- 1/4) into -1/4 101.263 * [backup-simplify]: Simplify -1/4 into -1/4 101.263 * [taylor]: Taking taylor expansion of 0 in J 101.263 * [backup-simplify]: Simplify 0 into 0 101.267 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 101.268 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J)) 101.268 * [backup-simplify]: Simplify (+ (* -2 (- (* 1/8 J))) (+ (* 0 0) (* 0 J))) into (* 1/4 J) 101.268 * [taylor]: Taking taylor expansion of (* 1/4 J) in J 101.268 * [taylor]: Taking taylor expansion of 1/4 in J 101.268 * [backup-simplify]: Simplify 1/4 into 1/4 101.268 * [taylor]: Taking taylor expansion of J in J 101.268 * [backup-simplify]: Simplify 0 into 0 101.268 * [backup-simplify]: Simplify 1 into 1 101.268 * [backup-simplify]: Simplify 0 into 0 101.268 * [backup-simplify]: Simplify 0 into 0 101.269 * [backup-simplify]: Simplify (+ (* -2 1) (* 0 0)) into -2 101.269 * [backup-simplify]: Simplify -2 into -2 101.269 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 101.269 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 101.269 * [backup-simplify]: Simplify (+ 0) into 0 101.270 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 101.270 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 101.271 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 101.271 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 101.271 * [backup-simplify]: Simplify (- 0) into 0 101.271 * [backup-simplify]: Simplify (+ 0 0) into 0 101.272 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 101.272 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 101.272 * [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 0 101.273 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 101.273 * [backup-simplify]: Simplify (+ 0 0) into 0 101.273 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 101.274 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 101.274 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 101.275 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 101.276 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 101.277 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 101.277 * [backup-simplify]: Simplify (- 0) into 0 101.277 * [backup-simplify]: Simplify (+ 0 0) into 0 101.278 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 101.278 * [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 0 101.279 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0 101.279 * [taylor]: Taking taylor expansion of 0 in K 101.279 * [backup-simplify]: Simplify 0 into 0 101.279 * [taylor]: Taking taylor expansion of 0 in J 101.279 * [backup-simplify]: Simplify 0 into 0 101.279 * [backup-simplify]: Simplify (+ 0) into 0 101.280 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 101.280 * [backup-simplify]: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 101.280 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 J))) into 0 101.280 * [backup-simplify]: Simplify (- 0) into 0 101.280 * [taylor]: Taking taylor expansion of 0 in J 101.280 * [backup-simplify]: Simplify 0 into 0 101.280 * [taylor]: Taking taylor expansion of 0 in J 101.280 * [backup-simplify]: Simplify 0 into 0 101.281 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 101.282 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 101.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0 101.283 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (- (* 1/8 J))) (+ (* 0 0) (* 0 J)))) into 0 101.283 * [taylor]: Taking taylor expansion of 0 in J 101.283 * [backup-simplify]: Simplify 0 into 0 101.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 101.285 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 101.285 * [backup-simplify]: Simplify (- 0) into 0 101.285 * [backup-simplify]: Simplify 0 into 0 101.285 * [backup-simplify]: Simplify 0 into 0 101.286 * [backup-simplify]: Simplify (* 1/4 0) into 0 101.286 * [backup-simplify]: Simplify 0 into 0 101.286 * [backup-simplify]: Simplify 0 into 0 101.286 * [backup-simplify]: Simplify 0 into 0 101.287 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0 101.287 * [backup-simplify]: Simplify 0 into 0 101.288 * [backup-simplify]: Simplify (+ (* -2 (* J (* 1 1))) (* -1/4 (* (/ 1 J) (* 1 (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 101.289 * [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)) (/ 1 J))) (cbrt (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (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))) 101.289 * [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 0 101.289 * [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 101.289 * [taylor]: Taking taylor expansion of -2 in J 101.289 * [backup-simplify]: Simplify -2 into -2 101.289 * [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 101.289 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 101.289 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 101.289 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 101.289 * [taylor]: Taking taylor expansion of 1/4 in J 101.289 * [backup-simplify]: Simplify 1/4 into 1/4 101.289 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 101.289 * [taylor]: Taking taylor expansion of (pow J 2) in J 101.289 * [taylor]: Taking taylor expansion of J in J 101.289 * [backup-simplify]: Simplify 0 into 0 101.289 * [backup-simplify]: Simplify 1 into 1 101.289 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 101.289 * [taylor]: Taking taylor expansion of (pow U 2) in J 101.289 * [taylor]: Taking taylor expansion of U in J 101.289 * [backup-simplify]: Simplify U into U 101.289 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 101.289 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 101.289 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 101.289 * [taylor]: Taking taylor expansion of 1/2 in J 101.289 * [backup-simplify]: Simplify 1/2 into 1/2 101.289 * [taylor]: Taking taylor expansion of K in J 101.289 * [backup-simplify]: Simplify K into K 101.289 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 101.290 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 101.290 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 101.290 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 101.290 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 101.290 * [backup-simplify]: Simplify (- 0) into 0 101.290 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 101.291 * [backup-simplify]: Simplify (* 1 1) into 1 101.291 * [backup-simplify]: Simplify (* U U) into (pow U 2) 101.291 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 101.291 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 101.291 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 101.291 * [taylor]: Taking taylor expansion of 1 in J 101.291 * [backup-simplify]: Simplify 1 into 1 101.292 * [backup-simplify]: Simplify (+ 0 1) into 1 101.292 * [backup-simplify]: Simplify (sqrt 1) into 1 101.293 * [backup-simplify]: Simplify (+ 0 0) into 0 101.293 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 101.293 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 101.293 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 101.293 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 101.293 * [taylor]: Taking taylor expansion of 1/2 in J 101.293 * [backup-simplify]: Simplify 1/2 into 1/2 101.293 * [taylor]: Taking taylor expansion of K in J 101.294 * [backup-simplify]: Simplify K into K 101.294 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 101.294 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 101.294 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 101.294 * [taylor]: Taking taylor expansion of J in J 101.294 * [backup-simplify]: Simplify 0 into 0 101.294 * [backup-simplify]: Simplify 1 into 1 101.294 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 101.294 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 101.294 * [backup-simplify]: Simplify (- 0) into 0 101.295 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 101.295 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 101.295 * [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 101.295 * [taylor]: Taking taylor expansion of -2 in K 101.295 * [backup-simplify]: Simplify -2 into -2 101.295 * [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 101.295 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 101.295 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 101.295 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 101.295 * [taylor]: Taking taylor expansion of 1/4 in K 101.295 * [backup-simplify]: Simplify 1/4 into 1/4 101.295 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 101.295 * [taylor]: Taking taylor expansion of (pow J 2) in K 101.295 * [taylor]: Taking taylor expansion of J in K 101.295 * [backup-simplify]: Simplify J into J 101.295 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 101.295 * [taylor]: Taking taylor expansion of (pow U 2) in K 101.295 * [taylor]: Taking taylor expansion of U in K 101.295 * [backup-simplify]: Simplify U into U 101.295 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 101.295 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 101.295 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 101.295 * [taylor]: Taking taylor expansion of 1/2 in K 101.295 * [backup-simplify]: Simplify 1/2 into 1/2 101.295 * [taylor]: Taking taylor expansion of K in K 101.295 * [backup-simplify]: Simplify 0 into 0 101.295 * [backup-simplify]: Simplify 1 into 1 101.296 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 101.296 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 101.296 * [backup-simplify]: Simplify (* J J) into (pow J 2) 101.296 * [backup-simplify]: Simplify (* U U) into (pow U 2) 101.296 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 101.296 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 101.297 * [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))) 101.297 * [taylor]: Taking taylor expansion of 1 in K 101.297 * [backup-simplify]: Simplify 1 into 1 101.297 * [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)))) 101.297 * [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) 101.298 * [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)) 101.298 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 101.298 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 101.298 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 101.298 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 101.299 * [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 0 101.300 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 101.300 * [backup-simplify]: Simplify (+ 0 0) into 0 101.300 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 101.300 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 101.300 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 101.300 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 101.301 * [taylor]: Taking taylor expansion of 1/2 in K 101.301 * [backup-simplify]: Simplify 1/2 into 1/2 101.301 * [taylor]: Taking taylor expansion of K in K 101.301 * [backup-simplify]: Simplify 0 into 0 101.301 * [backup-simplify]: Simplify 1 into 1 101.301 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 101.301 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 101.301 * [taylor]: Taking taylor expansion of J in K 101.301 * [backup-simplify]: Simplify J into J 101.301 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 101.301 * [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 101.301 * [taylor]: Taking taylor expansion of -2 in U 101.301 * [backup-simplify]: Simplify -2 into -2 101.301 * [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 101.301 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 101.301 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 101.302 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 101.302 * [taylor]: Taking taylor expansion of 1/4 in U 101.302 * [backup-simplify]: Simplify 1/4 into 1/4 101.302 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 101.302 * [taylor]: Taking taylor expansion of (pow J 2) in U 101.302 * [taylor]: Taking taylor expansion of J in U 101.302 * [backup-simplify]: Simplify J into J 101.302 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 101.302 * [taylor]: Taking taylor expansion of (pow U 2) in U 101.302 * [taylor]: Taking taylor expansion of U in U 101.302 * [backup-simplify]: Simplify 0 into 0 101.302 * [backup-simplify]: Simplify 1 into 1 101.302 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 101.302 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 101.302 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 101.302 * [taylor]: Taking taylor expansion of 1/2 in U 101.302 * [backup-simplify]: Simplify 1/2 into 1/2 101.302 * [taylor]: Taking taylor expansion of K in U 101.302 * [backup-simplify]: Simplify K into K 101.302 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 101.302 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 101.302 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 101.302 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 101.302 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 101.303 * [backup-simplify]: Simplify (- 0) into 0 101.303 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 101.303 * [backup-simplify]: Simplify (* J J) into (pow J 2) 101.303 * [backup-simplify]: Simplify (* 1 1) into 1 101.303 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 101.304 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 101.304 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 101.304 * [taylor]: Taking taylor expansion of 1 in U 101.304 * [backup-simplify]: Simplify 1 into 1 101.304 * [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))) 101.304 * [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))) 101.304 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 101.305 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 101.305 * [backup-simplify]: Simplify (+ 0) into 0 101.305 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 101.306 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 101.306 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 101.307 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 101.307 * [backup-simplify]: Simplify (- 0) into 0 101.308 * [backup-simplify]: Simplify (+ 0 0) into 0 101.308 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 101.308 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 101.309 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 101.309 * [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 0 101.310 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 101.310 * [backup-simplify]: Simplify (+ 0 0) into 0 101.311 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 101.311 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 101.311 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 101.311 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 101.311 * [taylor]: Taking taylor expansion of 1/2 in U 101.311 * [backup-simplify]: Simplify 1/2 into 1/2 101.311 * [taylor]: Taking taylor expansion of K in U 101.311 * [backup-simplify]: Simplify K into K 101.311 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 101.311 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 101.311 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 101.311 * [taylor]: Taking taylor expansion of J in U 101.311 * [backup-simplify]: Simplify J into J 101.311 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 101.311 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 101.312 * [backup-simplify]: Simplify (- 0) into 0 101.312 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 101.312 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 101.312 * [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 101.312 * [taylor]: Taking taylor expansion of -2 in U 101.312 * [backup-simplify]: Simplify -2 into -2 101.312 * [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 101.312 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 101.312 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 101.312 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 101.312 * [taylor]: Taking taylor expansion of 1/4 in U 101.312 * [backup-simplify]: Simplify 1/4 into 1/4 101.312 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 101.312 * [taylor]: Taking taylor expansion of (pow J 2) in U 101.312 * [taylor]: Taking taylor expansion of J in U 101.312 * [backup-simplify]: Simplify J into J 101.312 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 101.312 * [taylor]: Taking taylor expansion of (pow U 2) in U 101.312 * [taylor]: Taking taylor expansion of U in U 101.312 * [backup-simplify]: Simplify 0 into 0 101.312 * [backup-simplify]: Simplify 1 into 1 101.312 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 101.312 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 101.312 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 101.312 * [taylor]: Taking taylor expansion of 1/2 in U 101.312 * [backup-simplify]: Simplify 1/2 into 1/2 101.312 * [taylor]: Taking taylor expansion of K in U 101.312 * [backup-simplify]: Simplify K into K 101.312 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 101.312 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 101.313 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 101.313 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 101.313 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 101.313 * [backup-simplify]: Simplify (- 0) into 0 101.313 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 101.313 * [backup-simplify]: Simplify (* J J) into (pow J 2) 101.313 * [backup-simplify]: Simplify (* 1 1) into 1 101.313 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 101.314 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 101.314 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 101.314 * [taylor]: Taking taylor expansion of 1 in U 101.314 * [backup-simplify]: Simplify 1 into 1 101.314 * [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))) 101.314 * [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))) 101.314 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 101.314 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 101.314 * [backup-simplify]: Simplify (+ 0) into 0 101.315 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 101.315 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 101.315 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 101.316 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 101.316 * [backup-simplify]: Simplify (- 0) into 0 101.316 * [backup-simplify]: Simplify (+ 0 0) into 0 101.316 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 101.317 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 101.317 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 101.317 * [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 0 101.318 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 101.318 * [backup-simplify]: Simplify (+ 0 0) into 0 101.318 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 101.318 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 101.318 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 101.318 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 101.318 * [taylor]: Taking taylor expansion of 1/2 in U 101.318 * [backup-simplify]: Simplify 1/2 into 1/2 101.318 * [taylor]: Taking taylor expansion of K in U 101.318 * [backup-simplify]: Simplify K into K 101.318 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 101.318 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 101.318 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 101.318 * [taylor]: Taking taylor expansion of J in U 101.318 * [backup-simplify]: Simplify J into J 101.318 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 101.318 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 101.319 * [backup-simplify]: Simplify (- 0) into 0 101.319 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 101.319 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 101.319 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ (cos (/ 1/2 K)) J)) into 1/2 101.319 * [backup-simplify]: Simplify (* -2 1/2) into -1 101.319 * [taylor]: Taking taylor expansion of -1 in K 101.319 * [backup-simplify]: Simplify -1 into -1 101.319 * [taylor]: Taking taylor expansion of -1 in J 101.319 * [backup-simplify]: Simplify -1 into -1 101.320 * [backup-simplify]: Simplify (+ 0) into 0 101.320 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 101.320 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 101.320 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 101.321 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 101.321 * [backup-simplify]: Simplify (- 0) into 0 101.321 * [backup-simplify]: Simplify (+ 0 0) into 0 101.321 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 101.321 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (/ (cos (/ 1/2 K)) J))) into 0 101.322 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0 101.322 * [taylor]: Taking taylor expansion of 0 in K 101.322 * [backup-simplify]: Simplify 0 into 0 101.322 * [taylor]: Taking taylor expansion of 0 in J 101.322 * [backup-simplify]: Simplify 0 into 0 101.322 * [taylor]: Taking taylor expansion of 0 in J 101.322 * [backup-simplify]: Simplify 0 into 0 101.322 * [backup-simplify]: Simplify -1 into -1 101.323 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 101.323 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 101.323 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 101.324 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 101.324 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 101.324 * [backup-simplify]: Simplify (- 0) into 0 101.324 * [backup-simplify]: Simplify (+ 0 0) into 0 101.325 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 101.325 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 101.325 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 101.326 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 101.326 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 101.326 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 101.327 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 101.327 * [backup-simplify]: Simplify (- 0) into 0 101.327 * [backup-simplify]: Simplify (+ 0 0) into 0 101.328 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 101.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 101.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 101.329 * [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 0 101.330 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 101.330 * [backup-simplify]: Simplify (+ 0 1) into 1 101.330 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 101.331 * [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)) 101.331 * [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)))) 101.332 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in K 101.332 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in K 101.332 * [taylor]: Taking taylor expansion of 2 in K 101.332 * [backup-simplify]: Simplify 2 into 2 101.332 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in K 101.332 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 101.332 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 101.332 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 101.332 * [taylor]: Taking taylor expansion of 1/2 in K 101.332 * [backup-simplify]: Simplify 1/2 into 1/2 101.332 * [taylor]: Taking taylor expansion of K in K 101.332 * [backup-simplify]: Simplify 0 into 0 101.332 * [backup-simplify]: Simplify 1 into 1 101.332 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 101.332 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 101.332 * [taylor]: Taking taylor expansion of (pow J 2) in K 101.332 * [taylor]: Taking taylor expansion of J in K 101.332 * [backup-simplify]: Simplify J into J 101.332 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 101.332 * [backup-simplify]: Simplify (* J J) into (pow J 2) 101.332 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 101.332 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) into (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 101.333 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) 101.333 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J 101.333 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J 101.333 * [taylor]: Taking taylor expansion of 2 in J 101.333 * [backup-simplify]: Simplify 2 into 2 101.333 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J 101.333 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 101.333 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 101.333 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 101.333 * [taylor]: Taking taylor expansion of 1/2 in J 101.333 * [backup-simplify]: Simplify 1/2 into 1/2 101.333 * [taylor]: Taking taylor expansion of K in J 101.333 * [backup-simplify]: Simplify K into K 101.333 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 101.333 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 101.333 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 101.333 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 101.333 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 101.333 * [backup-simplify]: Simplify (- 0) into 0 101.333 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 101.333 * [taylor]: Taking taylor expansion of (pow J 2) in J 101.333 * [taylor]: Taking taylor expansion of J in J 101.333 * [backup-simplify]: Simplify 0 into 0 101.333 * [backup-simplify]: Simplify 1 into 1 101.334 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 101.334 * [backup-simplify]: Simplify (* 1 1) into 1 101.334 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 101.334 * [backup-simplify]: Simplify (+ 0) into 0 101.334 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 101.335 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 101.335 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 101.335 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 101.336 * [backup-simplify]: Simplify (- 0) into 0 101.336 * [backup-simplify]: Simplify (+ 0 0) into 0 101.336 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 101.336 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 101.337 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 101.337 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 101.338 * [backup-simplify]: Simplify (- 0) into 0 101.338 * [backup-simplify]: Simplify 0 into 0 101.338 * [taylor]: Taking taylor expansion of 0 in J 101.338 * [backup-simplify]: Simplify 0 into 0 101.338 * [taylor]: Taking taylor expansion of 0 in J 101.338 * [backup-simplify]: Simplify 0 into 0 101.338 * [backup-simplify]: Simplify 0 into 0 101.338 * [backup-simplify]: Simplify 0 into 0 101.338 * [backup-simplify]: Simplify 0 into 0 101.338 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 101.339 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 101.339 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 101.340 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 101.340 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 101.341 * [backup-simplify]: Simplify (- 0) into 0 101.341 * [backup-simplify]: Simplify (+ 0 0) into 0 101.341 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 101.342 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 101.342 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 101.343 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 101.343 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 101.344 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 101.345 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 101.345 * [backup-simplify]: Simplify (- 0) into 0 101.345 * [backup-simplify]: Simplify (+ 0 0) into 0 101.346 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 101.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 101.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 101.349 * [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 0 101.350 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 101.350 * [backup-simplify]: Simplify (+ 0 0) into 0 101.350 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 101.351 * [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 0 101.352 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 101.352 * [taylor]: Taking taylor expansion of 0 in K 101.352 * [backup-simplify]: Simplify 0 into 0 101.352 * [taylor]: Taking taylor expansion of 0 in J 101.352 * [backup-simplify]: Simplify 0 into 0 101.352 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 101.352 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 101.352 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 101.352 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) into 0 101.353 * [backup-simplify]: Simplify (- 0) into 0 101.353 * [taylor]: Taking taylor expansion of 0 in J 101.353 * [backup-simplify]: Simplify 0 into 0 101.353 * [taylor]: Taking taylor expansion of 0 in J 101.353 * [backup-simplify]: Simplify 0 into 0 101.353 * [taylor]: Taking taylor expansion of 0 in J 101.353 * [backup-simplify]: Simplify 0 into 0 101.353 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 101.354 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 101.354 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 101.355 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 101.355 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 101.355 * [backup-simplify]: Simplify (- 0) into 0 101.355 * [backup-simplify]: Simplify (+ 0 0) into 0 101.356 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 101.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 101.357 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 101.358 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 101.358 * [backup-simplify]: Simplify (- 0) into 0 101.358 * [backup-simplify]: Simplify 0 into 0 101.358 * [backup-simplify]: Simplify 0 into 0 101.358 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U) 101.359 * [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)) (/ 1 (- J)))) (cbrt (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (cbrt (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) into (* -2 (* (/ (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) 101.359 * [approximate]: Taking taylor expansion of (* -2 (* (/ (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in (U K J) around 0 101.359 * [taylor]: Taking taylor expansion of (* -2 (* (/ (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J 101.359 * [taylor]: Taking taylor expansion of -2 in J 101.359 * [backup-simplify]: Simplify -2 into -2 101.359 * [taylor]: Taking taylor expansion of (* (/ (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 101.359 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) J) in J 101.359 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) in J 101.359 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 101.359 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 101.359 * [taylor]: Taking taylor expansion of -1/2 in J 101.359 * [backup-simplify]: Simplify -1/2 into -1/2 101.359 * [taylor]: Taking taylor expansion of K in J 101.359 * [backup-simplify]: Simplify K into K 101.359 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 101.359 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 101.359 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 101.359 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in J 101.359 * [taylor]: Taking taylor expansion of (cbrt -1) in J 101.359 * [taylor]: Taking taylor expansion of -1 in J 101.359 * [backup-simplify]: Simplify -1 into -1 101.360 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 101.360 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 101.360 * [taylor]: Taking taylor expansion of J in J 101.360 * [backup-simplify]: Simplify 0 into 0 101.360 * [backup-simplify]: Simplify 1 into 1 101.360 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 101.360 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 101.361 * [backup-simplify]: Simplify (- 0) into 0 101.361 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 101.362 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 101.363 * [backup-simplify]: Simplify (* (cbrt -1) (pow (cbrt -1) 2)) into (pow (cbrt -1) 3) 101.364 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) into (* -1 (cos (/ -1/2 K))) 101.364 * [backup-simplify]: Simplify (/ (* -1 (cos (/ -1/2 K))) 1) into (* -1 (cos (/ -1/2 K))) 101.364 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 101.364 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 101.364 * [taylor]: Taking taylor expansion of 1 in J 101.364 * [backup-simplify]: Simplify 1 into 1 101.364 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 101.364 * [taylor]: Taking taylor expansion of 1/4 in J 101.364 * [backup-simplify]: Simplify 1/4 into 1/4 101.364 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 101.364 * [taylor]: Taking taylor expansion of (pow J 2) in J 101.364 * [taylor]: Taking taylor expansion of J in J 101.364 * [backup-simplify]: Simplify 0 into 0 101.364 * [backup-simplify]: Simplify 1 into 1 101.364 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 101.364 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 101.364 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 101.364 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 101.364 * [taylor]: Taking taylor expansion of -1/2 in J 101.364 * [backup-simplify]: Simplify -1/2 into -1/2 101.364 * [taylor]: Taking taylor expansion of K in J 101.364 * [backup-simplify]: Simplify K into K 101.364 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 101.364 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 101.364 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 101.364 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 101.364 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 101.365 * [backup-simplify]: Simplify (- 0) into 0 101.365 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 101.365 * [taylor]: Taking taylor expansion of (pow U 2) in J 101.365 * [taylor]: Taking taylor expansion of U in J 101.365 * [backup-simplify]: Simplify U into U 101.365 * [backup-simplify]: Simplify (* 1 1) into 1 101.365 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 101.365 * [backup-simplify]: Simplify (* U U) into (pow U 2) 101.365 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 101.365 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 101.366 * [backup-simplify]: Simplify (+ 1 0) into 1 101.366 * [backup-simplify]: Simplify (sqrt 1) into 1 101.366 * [backup-simplify]: Simplify (+ 0 0) into 0 101.367 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 101.367 * [taylor]: Taking taylor expansion of (* -2 (* (/ (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K 101.367 * [taylor]: Taking taylor expansion of -2 in K 101.367 * [backup-simplify]: Simplify -2 into -2 101.367 * [taylor]: Taking taylor expansion of (* (/ (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K 101.367 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) J) in K 101.367 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) in K 101.367 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 101.367 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 101.367 * [taylor]: Taking taylor expansion of -1/2 in K 101.367 * [backup-simplify]: Simplify -1/2 into -1/2 101.367 * [taylor]: Taking taylor expansion of K in K 101.367 * [backup-simplify]: Simplify 0 into 0 101.367 * [backup-simplify]: Simplify 1 into 1 101.367 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 101.367 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 101.367 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in K 101.367 * [taylor]: Taking taylor expansion of (cbrt -1) in K 101.367 * [taylor]: Taking taylor expansion of -1 in K 101.367 * [backup-simplify]: Simplify -1 into -1 101.368 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 101.368 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 101.368 * [taylor]: Taking taylor expansion of J in K 101.368 * [backup-simplify]: Simplify J into J 101.369 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 101.370 * [backup-simplify]: Simplify (* (cbrt -1) (pow (cbrt -1) 2)) into (pow (cbrt -1) 3) 101.371 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) into (* -1 (cos (/ -1/2 K))) 101.371 * [backup-simplify]: Simplify (/ (* -1 (cos (/ -1/2 K))) J) into (* -1 (/ (cos (/ -1/2 K)) J)) 101.371 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 101.371 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 101.371 * [taylor]: Taking taylor expansion of 1 in K 101.371 * [backup-simplify]: Simplify 1 into 1 101.371 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 101.371 * [taylor]: Taking taylor expansion of 1/4 in K 101.371 * [backup-simplify]: Simplify 1/4 into 1/4 101.371 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 101.371 * [taylor]: Taking taylor expansion of (pow J 2) in K 101.371 * [taylor]: Taking taylor expansion of J in K 101.371 * [backup-simplify]: Simplify J into J 101.371 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 101.371 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 101.371 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 101.371 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 101.371 * [taylor]: Taking taylor expansion of -1/2 in K 101.371 * [backup-simplify]: Simplify -1/2 into -1/2 101.371 * [taylor]: Taking taylor expansion of K in K 101.371 * [backup-simplify]: Simplify 0 into 0 101.371 * [backup-simplify]: Simplify 1 into 1 101.375 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 101.376 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 101.376 * [taylor]: Taking taylor expansion of (pow U 2) in K 101.376 * [taylor]: Taking taylor expansion of U in K 101.376 * [backup-simplify]: Simplify U into U 101.376 * [backup-simplify]: Simplify (* J J) into (pow J 2) 101.376 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 101.376 * [backup-simplify]: Simplify (* U U) into (pow U 2) 101.376 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 101.376 * [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))) 101.376 * [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)))) 101.376 * [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))))) 101.377 * [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)))))) 101.377 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 101.377 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 101.377 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 101.377 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 101.377 * [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 0 101.378 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 101.378 * [backup-simplify]: Simplify (+ 0 0) into 0 101.378 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 101.378 * [taylor]: Taking taylor expansion of (* -2 (* (/ (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 101.378 * [taylor]: Taking taylor expansion of -2 in U 101.379 * [backup-simplify]: Simplify -2 into -2 101.379 * [taylor]: Taking taylor expansion of (* (/ (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 101.379 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) J) in U 101.379 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) in U 101.379 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 101.379 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 101.379 * [taylor]: Taking taylor expansion of -1/2 in U 101.379 * [backup-simplify]: Simplify -1/2 into -1/2 101.379 * [taylor]: Taking taylor expansion of K in U 101.379 * [backup-simplify]: Simplify K into K 101.379 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 101.379 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 101.379 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 101.379 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in U 101.379 * [taylor]: Taking taylor expansion of (cbrt -1) in U 101.379 * [taylor]: Taking taylor expansion of -1 in U 101.379 * [backup-simplify]: Simplify -1 into -1 101.379 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 101.380 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 101.380 * [taylor]: Taking taylor expansion of J in U 101.380 * [backup-simplify]: Simplify J into J 101.380 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 101.380 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 101.380 * [backup-simplify]: Simplify (- 0) into 0 101.380 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 101.382 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 101.384 * [backup-simplify]: Simplify (* (cbrt -1) (pow (cbrt -1) 2)) into (pow (cbrt -1) 3) 101.385 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) into (* -1 (cos (/ -1/2 K))) 101.385 * [backup-simplify]: Simplify (/ (* -1 (cos (/ -1/2 K))) J) into (* -1 (/ (cos (/ -1/2 K)) J)) 101.385 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 101.385 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 101.385 * [taylor]: Taking taylor expansion of 1 in U 101.385 * [backup-simplify]: Simplify 1 into 1 101.385 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 101.385 * [taylor]: Taking taylor expansion of 1/4 in U 101.385 * [backup-simplify]: Simplify 1/4 into 1/4 101.385 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 101.385 * [taylor]: Taking taylor expansion of (pow J 2) in U 101.385 * [taylor]: Taking taylor expansion of J in U 101.385 * [backup-simplify]: Simplify J into J 101.385 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 101.385 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 101.385 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 101.385 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 101.385 * [taylor]: Taking taylor expansion of -1/2 in U 101.385 * [backup-simplify]: Simplify -1/2 into -1/2 101.385 * [taylor]: Taking taylor expansion of K in U 101.385 * [backup-simplify]: Simplify K into K 101.385 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 101.385 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 101.385 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 101.386 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 101.386 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 101.386 * [backup-simplify]: Simplify (- 0) into 0 101.386 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 101.386 * [taylor]: Taking taylor expansion of (pow U 2) in U 101.386 * [taylor]: Taking taylor expansion of U in U 101.386 * [backup-simplify]: Simplify 0 into 0 101.386 * [backup-simplify]: Simplify 1 into 1 101.386 * [backup-simplify]: Simplify (* J J) into (pow J 2) 101.386 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 101.387 * [backup-simplify]: Simplify (* 1 1) into 1 101.387 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 101.387 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 101.387 * [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))) 101.388 * [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))) 101.388 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 101.388 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 101.389 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 101.389 * [backup-simplify]: Simplify (+ 0) into 0 101.390 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 101.390 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 101.390 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 101.391 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 101.391 * [backup-simplify]: Simplify (- 0) into 0 101.392 * [backup-simplify]: Simplify (+ 0 0) into 0 101.392 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 101.392 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 101.393 * [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 0 101.393 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 101.394 * [backup-simplify]: Simplify (+ 0 0) into 0 101.394 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 101.394 * [taylor]: Taking taylor expansion of (* -2 (* (/ (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 101.394 * [taylor]: Taking taylor expansion of -2 in U 101.394 * [backup-simplify]: Simplify -2 into -2 101.394 * [taylor]: Taking taylor expansion of (* (/ (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 101.394 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) J) in U 101.394 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) in U 101.394 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 101.394 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 101.394 * [taylor]: Taking taylor expansion of -1/2 in U 101.394 * [backup-simplify]: Simplify -1/2 into -1/2 101.394 * [taylor]: Taking taylor expansion of K in U 101.394 * [backup-simplify]: Simplify K into K 101.394 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 101.395 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 101.395 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 101.395 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in U 101.395 * [taylor]: Taking taylor expansion of (cbrt -1) in U 101.395 * [taylor]: Taking taylor expansion of -1 in U 101.395 * [backup-simplify]: Simplify -1 into -1 101.395 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 101.396 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 101.396 * [taylor]: Taking taylor expansion of J in U 101.396 * [backup-simplify]: Simplify J into J 101.396 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 101.396 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 101.397 * [backup-simplify]: Simplify (- 0) into 0 101.397 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 101.398 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 101.400 * [backup-simplify]: Simplify (* (cbrt -1) (pow (cbrt -1) 2)) into (pow (cbrt -1) 3) 101.401 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) into (* -1 (cos (/ -1/2 K))) 101.401 * [backup-simplify]: Simplify (/ (* -1 (cos (/ -1/2 K))) J) into (* -1 (/ (cos (/ -1/2 K)) J)) 101.402 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 101.402 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 101.402 * [taylor]: Taking taylor expansion of 1 in U 101.402 * [backup-simplify]: Simplify 1 into 1 101.402 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 101.402 * [taylor]: Taking taylor expansion of 1/4 in U 101.402 * [backup-simplify]: Simplify 1/4 into 1/4 101.402 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 101.402 * [taylor]: Taking taylor expansion of (pow J 2) in U 101.402 * [taylor]: Taking taylor expansion of J in U 101.402 * [backup-simplify]: Simplify J into J 101.402 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 101.402 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 101.402 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 101.402 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 101.402 * [taylor]: Taking taylor expansion of -1/2 in U 101.402 * [backup-simplify]: Simplify -1/2 into -1/2 101.402 * [taylor]: Taking taylor expansion of K in U 101.402 * [backup-simplify]: Simplify K into K 101.402 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 101.402 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 101.402 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 101.402 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 101.402 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 101.403 * [backup-simplify]: Simplify (- 0) into 0 101.403 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 101.403 * [taylor]: Taking taylor expansion of (pow U 2) in U 101.403 * [taylor]: Taking taylor expansion of U in U 101.403 * [backup-simplify]: Simplify 0 into 0 101.403 * [backup-simplify]: Simplify 1 into 1 101.403 * [backup-simplify]: Simplify (* J J) into (pow J 2) 101.403 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 101.404 * [backup-simplify]: Simplify (* 1 1) into 1 101.404 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 101.404 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 101.404 * [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))) 101.405 * [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))) 101.405 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 101.405 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 101.406 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 101.406 * [backup-simplify]: Simplify (+ 0) into 0 101.407 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 101.407 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 101.408 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 101.408 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 101.409 * [backup-simplify]: Simplify (- 0) into 0 101.409 * [backup-simplify]: Simplify (+ 0 0) into 0 101.409 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 101.410 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 101.410 * [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 0 101.411 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 101.411 * [backup-simplify]: Simplify (+ 0 0) into 0 101.411 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 101.412 * [backup-simplify]: Simplify (* (* -1 (/ (cos (/ -1/2 K)) J)) (* 1/2 (/ J (cos (/ -1/2 K))))) into -1/2 101.412 * [backup-simplify]: Simplify (* -2 -1/2) into 1 101.412 * [taylor]: Taking taylor expansion of 1 in K 101.412 * [backup-simplify]: Simplify 1 into 1 101.412 * [taylor]: Taking taylor expansion of 1 in J 101.412 * [backup-simplify]: Simplify 1 into 1 101.413 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 101.414 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow (cbrt -1) 2))) into 0 101.415 * [backup-simplify]: Simplify (+ 0) into 0 101.415 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 101.416 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 101.416 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 101.417 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 101.417 * [backup-simplify]: Simplify (- 0) into 0 101.418 * [backup-simplify]: Simplify (+ 0 0) into 0 101.419 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (pow (cbrt -1) 3))) into 0 101.419 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (* -1 (/ (cos (/ -1/2 K)) J)) (/ 0 J)))) into 0 101.419 * [backup-simplify]: Simplify (+ (* (* -1 (/ (cos (/ -1/2 K)) J)) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 101.420 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 -1/2)) into 0 101.420 * [taylor]: Taking taylor expansion of 0 in K 101.420 * [backup-simplify]: Simplify 0 into 0 101.420 * [taylor]: Taking taylor expansion of 0 in J 101.420 * [backup-simplify]: Simplify 0 into 0 101.420 * [taylor]: Taking taylor expansion of 0 in J 101.420 * [backup-simplify]: Simplify 0 into 0 101.420 * [backup-simplify]: Simplify 1 into 1 101.421 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 101.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 101.424 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 101.425 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 101.425 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 101.426 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 101.426 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 101.427 * [backup-simplify]: Simplify (- 0) into 0 101.427 * [backup-simplify]: Simplify (+ 0 0) into 0 101.428 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 101.428 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 101.429 * [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 0 101.430 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 101.430 * [backup-simplify]: Simplify (+ 1 0) into 1 101.431 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 101.433 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 101.434 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 101.435 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2)))) into 0 101.436 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 101.437 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 101.437 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 101.438 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 101.438 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 101.439 * [backup-simplify]: Simplify (- 0) into 0 101.439 * [backup-simplify]: Simplify (+ 0 0) into 0 101.440 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 3)))) into 0 101.441 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (* -1 (/ (cos (/ -1/2 K)) J)) (/ 0 J)) (* 0 (/ 0 J)))) into 0 101.441 * [backup-simplify]: Simplify (+ (* (* -1 (/ (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))) 101.442 * [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))) 101.443 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in K 101.443 * [taylor]: Taking taylor expansion of 2 in K 101.443 * [backup-simplify]: Simplify 2 into 2 101.443 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in K 101.443 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 101.443 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 101.443 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 101.443 * [taylor]: Taking taylor expansion of -1/2 in K 101.443 * [backup-simplify]: Simplify -1/2 into -1/2 101.443 * [taylor]: Taking taylor expansion of K in K 101.443 * [backup-simplify]: Simplify 0 into 0 101.443 * [backup-simplify]: Simplify 1 into 1 101.443 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 101.443 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 101.443 * [taylor]: Taking taylor expansion of (pow J 2) in K 101.443 * [taylor]: Taking taylor expansion of J in K 101.443 * [backup-simplify]: Simplify J into J 101.444 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 101.444 * [backup-simplify]: Simplify (* J J) into (pow J 2) 101.444 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 101.444 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 101.444 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J 101.444 * [taylor]: Taking taylor expansion of 2 in J 101.444 * [backup-simplify]: Simplify 2 into 2 101.444 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J 101.444 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 101.444 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 101.444 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 101.444 * [taylor]: Taking taylor expansion of -1/2 in J 101.444 * [backup-simplify]: Simplify -1/2 into -1/2 101.444 * [taylor]: Taking taylor expansion of K in J 101.444 * [backup-simplify]: Simplify K into K 101.444 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 101.444 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 101.445 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 101.445 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 101.445 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 101.445 * [backup-simplify]: Simplify (- 0) into 0 101.445 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 101.445 * [taylor]: Taking taylor expansion of (pow J 2) in J 101.445 * [taylor]: Taking taylor expansion of J in J 101.445 * [backup-simplify]: Simplify 0 into 0 101.445 * [backup-simplify]: Simplify 1 into 1 101.445 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 101.446 * [backup-simplify]: Simplify (* 1 1) into 1 101.446 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 101.446 * [backup-simplify]: Simplify (+ 0) into 0 101.447 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 101.447 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 101.448 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 101.448 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 101.449 * [backup-simplify]: Simplify (- 0) into 0 101.449 * [backup-simplify]: Simplify (+ 0 0) into 0 101.449 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 101.450 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 101.451 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 101.452 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 101.452 * [backup-simplify]: Simplify 0 into 0 101.452 * [taylor]: Taking taylor expansion of 0 in J 101.452 * [backup-simplify]: Simplify 0 into 0 101.452 * [taylor]: Taking taylor expansion of 0 in J 101.452 * [backup-simplify]: Simplify 0 into 0 101.452 * [backup-simplify]: Simplify 0 into 0 101.452 * [backup-simplify]: Simplify 0 into 0 101.452 * [backup-simplify]: Simplify 0 into 0 101.453 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 101.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 101.455 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 101.456 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 101.456 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 101.457 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 101.458 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 101.459 * [backup-simplify]: Simplify (- 0) into 0 101.459 * [backup-simplify]: Simplify (+ 0 0) into 0 101.460 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 101.461 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 101.461 * [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 0 101.463 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 101.463 * [backup-simplify]: Simplify (+ 0 0) into 0 101.463 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 101.464 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 101.465 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 101.466 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2))))) into 0 101.467 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 101.467 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 101.467 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 101.468 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 101.469 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 101.469 * [backup-simplify]: Simplify (- 0) into 0 101.469 * [backup-simplify]: Simplify (+ 0 0) into 0 101.470 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 3))))) into 0 101.470 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (* -1 (/ (cos (/ -1/2 K)) J)) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 101.471 * [backup-simplify]: Simplify (+ (* (* -1 (/ (cos (/ -1/2 K)) J)) 0) (+ (* 0 (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0 101.471 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (- (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 -1/2)))) into 0 101.471 * [taylor]: Taking taylor expansion of 0 in K 101.471 * [backup-simplify]: Simplify 0 into 0 101.471 * [taylor]: Taking taylor expansion of 0 in J 101.471 * [backup-simplify]: Simplify 0 into 0 101.472 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 101.472 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 101.472 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 101.472 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) into 0 101.472 * [taylor]: Taking taylor expansion of 0 in J 101.472 * [backup-simplify]: Simplify 0 into 0 101.472 * [taylor]: Taking taylor expansion of 0 in J 101.472 * [backup-simplify]: Simplify 0 into 0 101.472 * [taylor]: Taking taylor expansion of 0 in J 101.472 * [backup-simplify]: Simplify 0 into 0 101.473 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 101.473 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 101.473 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 101.474 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 101.474 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 101.474 * [backup-simplify]: Simplify (- 0) into 0 101.475 * [backup-simplify]: Simplify (+ 0 0) into 0 101.475 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 101.476 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 101.476 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 101.477 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0 101.477 * [backup-simplify]: Simplify 0 into 0 101.477 * [backup-simplify]: Simplify 0 into 0 101.477 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U) 101.477 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 101.477 * [backup-simplify]: Simplify (cbrt (* (cos (/ K 2)) J)) into (pow (* (cos (* 1/2 K)) J) 1/3) 101.477 * [approximate]: Taking taylor expansion of (pow (* (cos (* 1/2 K)) J) 1/3) in (K J) around 0 101.477 * [taylor]: Taking taylor expansion of (pow (* (cos (* 1/2 K)) J) 1/3) in J 101.477 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (cos (* 1/2 K)) J)))) in J 101.477 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (cos (* 1/2 K)) J))) in J 101.477 * [taylor]: Taking taylor expansion of 1/3 in J 101.477 * [backup-simplify]: Simplify 1/3 into 1/3 101.477 * [taylor]: Taking taylor expansion of (log (* (cos (* 1/2 K)) J)) in J 101.477 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 101.477 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 101.477 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 101.477 * [taylor]: Taking taylor expansion of 1/2 in J 101.478 * [backup-simplify]: Simplify 1/2 into 1/2 101.478 * [taylor]: Taking taylor expansion of K in J 101.478 * [backup-simplify]: Simplify K into K 101.478 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 101.478 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 101.478 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 101.478 * [taylor]: Taking taylor expansion of J in J 101.478 * [backup-simplify]: Simplify 0 into 0 101.478 * [backup-simplify]: Simplify 1 into 1 101.478 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 101.478 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 101.478 * [backup-simplify]: Simplify (- 0) into 0 101.478 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 101.478 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 101.478 * [backup-simplify]: Simplify (+ 0) into 0 101.479 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 101.479 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 101.479 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 101.480 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 101.480 * [backup-simplify]: Simplify (- 0) into 0 101.480 * [backup-simplify]: Simplify (+ 0 0) into 0 101.481 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 101.481 * [backup-simplify]: Simplify (log (cos (* 1/2 K))) into (log (cos (* 1/2 K))) 101.481 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) (log (cos (* 1/2 K)))) into (+ (log J) (log (cos (* 1/2 K)))) 101.481 * [backup-simplify]: Simplify (* 1/3 (+ (log J) (log (cos (* 1/2 K))))) into (* 1/3 (+ (log J) (log (cos (* 1/2 K))))) 101.481 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log J) (log (cos (* 1/2 K)))))) into (exp (* 1/3 (+ (log J) (log (cos (* 1/2 K)))))) 101.481 * [taylor]: Taking taylor expansion of (pow (* (cos (* 1/2 K)) J) 1/3) in K 101.481 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (cos (* 1/2 K)) J)))) in K 101.481 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (cos (* 1/2 K)) J))) in K 101.481 * [taylor]: Taking taylor expansion of 1/3 in K 101.481 * [backup-simplify]: Simplify 1/3 into 1/3 101.481 * [taylor]: Taking taylor expansion of (log (* (cos (* 1/2 K)) J)) in K 101.481 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 101.481 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 101.481 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 101.481 * [taylor]: Taking taylor expansion of 1/2 in K 101.481 * [backup-simplify]: Simplify 1/2 into 1/2 101.481 * [taylor]: Taking taylor expansion of K in K 101.481 * [backup-simplify]: Simplify 0 into 0 101.481 * [backup-simplify]: Simplify 1 into 1 101.482 * [backup-simplify]: Simplify (* 1/2 0) into 0 101.482 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 101.482 * [taylor]: Taking taylor expansion of J in K 101.482 * [backup-simplify]: Simplify J into J 101.482 * [backup-simplify]: Simplify (* 1 J) into J 101.482 * [backup-simplify]: Simplify (log J) into (log J) 101.482 * [backup-simplify]: Simplify (* 1/3 (log J)) into (* 1/3 (log J)) 101.482 * [backup-simplify]: Simplify (exp (* 1/3 (log J))) into (pow J 1/3) 101.482 * [taylor]: Taking taylor expansion of (pow (* (cos (* 1/2 K)) J) 1/3) in K 101.482 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (cos (* 1/2 K)) J)))) in K 101.482 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (cos (* 1/2 K)) J))) in K 101.482 * [taylor]: Taking taylor expansion of 1/3 in K 101.482 * [backup-simplify]: Simplify 1/3 into 1/3 101.482 * [taylor]: Taking taylor expansion of (log (* (cos (* 1/2 K)) J)) in K 101.482 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 101.483 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 101.483 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 101.483 * [taylor]: Taking taylor expansion of 1/2 in K 101.483 * [backup-simplify]: Simplify 1/2 into 1/2 101.483 * [taylor]: Taking taylor expansion of K in K 101.483 * [backup-simplify]: Simplify 0 into 0 101.483 * [backup-simplify]: Simplify 1 into 1 101.483 * [backup-simplify]: Simplify (* 1/2 0) into 0 101.483 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 101.483 * [taylor]: Taking taylor expansion of J in K 101.483 * [backup-simplify]: Simplify J into J 101.483 * [backup-simplify]: Simplify (* 1 J) into J 101.483 * [backup-simplify]: Simplify (log J) into (log J) 101.483 * [backup-simplify]: Simplify (* 1/3 (log J)) into (* 1/3 (log J)) 101.483 * [backup-simplify]: Simplify (exp (* 1/3 (log J))) into (pow J 1/3) 101.484 * [taylor]: Taking taylor expansion of (pow J 1/3) in J 101.484 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log J))) in J 101.484 * [taylor]: Taking taylor expansion of (* 1/3 (log J)) in J 101.484 * [taylor]: Taking taylor expansion of 1/3 in J 101.484 * [backup-simplify]: Simplify 1/3 into 1/3 101.484 * [taylor]: Taking taylor expansion of (log J) in J 101.484 * [taylor]: Taking taylor expansion of J in J 101.484 * [backup-simplify]: Simplify 0 into 0 101.484 * [backup-simplify]: Simplify 1 into 1 101.484 * [backup-simplify]: Simplify (log 1) into 0 101.484 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 101.484 * [backup-simplify]: Simplify (* 1/3 (log J)) into (* 1/3 (log J)) 101.484 * [backup-simplify]: Simplify (exp (* 1/3 (log J))) into (pow J 1/3) 101.484 * [backup-simplify]: Simplify (pow J 1/3) into (pow J 1/3) 101.485 * [backup-simplify]: Simplify (+ 0) into 0 101.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 101.485 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 101.486 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log J))) into 0 101.486 * [backup-simplify]: Simplify (* (exp (* 1/3 (log J))) (+ (* (/ (pow 0 1) 1)))) into 0 101.486 * [taylor]: Taking taylor expansion of 0 in J 101.486 * [backup-simplify]: Simplify 0 into 0 101.486 * [backup-simplify]: Simplify 0 into 0 101.487 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 101.487 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 101.488 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log J))) into 0 101.488 * [backup-simplify]: Simplify (* (exp (* 1/3 (log J))) (+ (* (/ (pow 0 1) 1)))) into 0 101.488 * [backup-simplify]: Simplify 0 into 0 101.489 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 101.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J)) 101.490 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow J 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/8 J))) 1)) (pow J 1)))) 2) into -1/8 101.490 * [backup-simplify]: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 (log J)))) into (- 1/24) 101.491 * [backup-simplify]: Simplify (* (exp (* 1/3 (log J))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- 1/24) 1) 1)))) into (* -1/24 (pow J 1/3)) 101.491 * [taylor]: Taking taylor expansion of (* -1/24 (pow J 1/3)) in J 101.491 * [taylor]: Taking taylor expansion of -1/24 in J 101.491 * [backup-simplify]: Simplify -1/24 into -1/24 101.491 * [taylor]: Taking taylor expansion of (pow J 1/3) in J 101.491 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log J))) in J 101.491 * [taylor]: Taking taylor expansion of (* 1/3 (log J)) in J 101.491 * [taylor]: Taking taylor expansion of 1/3 in J 101.491 * [backup-simplify]: Simplify 1/3 into 1/3 101.491 * [taylor]: Taking taylor expansion of (log J) in J 101.492 * [taylor]: Taking taylor expansion of J in J 101.492 * [backup-simplify]: Simplify 0 into 0 101.492 * [backup-simplify]: Simplify 1 into 1 101.492 * [backup-simplify]: Simplify (log 1) into 0 101.492 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 101.492 * [backup-simplify]: Simplify (* 1/3 (log J)) into (* 1/3 (log J)) 101.492 * [backup-simplify]: Simplify (exp (* 1/3 (log J))) into (pow J 1/3) 101.492 * [backup-simplify]: Simplify (* -1/24 (pow J 1/3)) into (* -1/24 (pow J 1/3)) 101.492 * [backup-simplify]: Simplify (* -1/24 (pow J 1/3)) into (* -1/24 (pow J 1/3)) 101.492 * [backup-simplify]: Simplify 0 into 0 101.494 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 101.494 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 101.495 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log J)))) into 0 101.495 * [backup-simplify]: Simplify (* (exp (* 1/3 (log J))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 101.495 * [backup-simplify]: Simplify 0 into 0 101.496 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 101.497 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 101.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0 101.505 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow J 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 1/8 J))) 1)) (pow J 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow J 1)))) 6) into 0 101.506 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 (log J))))) into 0 101.509 * [backup-simplify]: Simplify (* (exp (* 1/3 (log J))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- 1/24) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 101.509 * [taylor]: Taking taylor expansion of 0 in J 101.509 * [backup-simplify]: Simplify 0 into 0 101.509 * [backup-simplify]: Simplify 0 into 0 101.511 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 101.511 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 101.512 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log J))) into 0 101.512 * [backup-simplify]: Simplify (* (exp (* 1/3 (log J))) (+ (* (/ (pow 0 1) 1)))) into 0 101.513 * [backup-simplify]: Simplify (+ (* -1/24 0) (* 0 (pow J 1/3))) into 0 101.513 * [backup-simplify]: Simplify 0 into 0 101.513 * [backup-simplify]: Simplify 0 into 0 101.519 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 101.519 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 101.520 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log J))))) into 0 101.522 * [backup-simplify]: Simplify (* (exp (* 1/3 (log J))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 101.522 * [backup-simplify]: Simplify 0 into 0 101.522 * [backup-simplify]: Simplify (+ (* (* -1/24 (pow J 1/3)) (pow (* 1 K) 2)) (pow J 1/3)) into (- (pow J 1/3) (* 1/24 (* (pow K 2) (pow J 1/3)))) 101.523 * [backup-simplify]: Simplify (cbrt (* (cos (/ (/ 1 K) 2)) (/ 1 J))) into (pow (/ (cos (/ 1/2 K)) J) 1/3) 101.523 * [approximate]: Taking taylor expansion of (pow (/ (cos (/ 1/2 K)) J) 1/3) in (K J) around 0 101.523 * [taylor]: Taking taylor expansion of (pow (/ (cos (/ 1/2 K)) J) 1/3) in J 101.523 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (cos (/ 1/2 K)) J)))) in J 101.523 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (cos (/ 1/2 K)) J))) in J 101.523 * [taylor]: Taking taylor expansion of 1/3 in J 101.523 * [backup-simplify]: Simplify 1/3 into 1/3 101.523 * [taylor]: Taking taylor expansion of (log (/ (cos (/ 1/2 K)) J)) in J 101.523 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 101.523 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 101.523 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 101.523 * [taylor]: Taking taylor expansion of 1/2 in J 101.523 * [backup-simplify]: Simplify 1/2 into 1/2 101.523 * [taylor]: Taking taylor expansion of K in J 101.523 * [backup-simplify]: Simplify K into K 101.523 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 101.523 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 101.523 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 101.523 * [taylor]: Taking taylor expansion of J in J 101.523 * [backup-simplify]: Simplify 0 into 0 101.523 * [backup-simplify]: Simplify 1 into 1 101.523 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 101.524 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 101.524 * [backup-simplify]: Simplify (- 0) into 0 101.524 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 101.524 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 101.524 * [backup-simplify]: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) 101.525 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) (log (cos (/ 1/2 K)))) into (- (log (cos (/ 1/2 K))) (log J)) 101.525 * [backup-simplify]: Simplify (* 1/3 (- (log (cos (/ 1/2 K))) (log J))) into (* 1/3 (- (log (cos (/ 1/2 K))) (log J))) 101.525 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (cos (/ 1/2 K))) (log J)))) into (exp (* 1/3 (- (log (cos (/ 1/2 K))) (log J)))) 101.525 * [taylor]: Taking taylor expansion of (pow (/ (cos (/ 1/2 K)) J) 1/3) in K 101.525 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (cos (/ 1/2 K)) J)))) in K 101.525 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (cos (/ 1/2 K)) J))) in K 101.525 * [taylor]: Taking taylor expansion of 1/3 in K 101.525 * [backup-simplify]: Simplify 1/3 into 1/3 101.525 * [taylor]: Taking taylor expansion of (log (/ (cos (/ 1/2 K)) J)) in K 101.525 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 101.525 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 101.525 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 101.525 * [taylor]: Taking taylor expansion of 1/2 in K 101.525 * [backup-simplify]: Simplify 1/2 into 1/2 101.525 * [taylor]: Taking taylor expansion of K in K 101.525 * [backup-simplify]: Simplify 0 into 0 101.525 * [backup-simplify]: Simplify 1 into 1 101.526 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 101.526 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 101.526 * [taylor]: Taking taylor expansion of J in K 101.526 * [backup-simplify]: Simplify J into J 101.526 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 101.526 * [backup-simplify]: Simplify (log (/ (cos (/ 1/2 K)) J)) into (log (/ (cos (/ 1/2 K)) J)) 101.526 * [backup-simplify]: Simplify (* 1/3 (log (/ (cos (/ 1/2 K)) J))) into (* 1/3 (log (/ (cos (/ 1/2 K)) J))) 101.527 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ (cos (/ 1/2 K)) J)))) into (pow (/ (cos (/ 1/2 K)) J) 1/3) 101.527 * [taylor]: Taking taylor expansion of (pow (/ (cos (/ 1/2 K)) J) 1/3) in K 101.527 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (cos (/ 1/2 K)) J)))) in K 101.527 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (cos (/ 1/2 K)) J))) in K 101.527 * [taylor]: Taking taylor expansion of 1/3 in K 101.527 * [backup-simplify]: Simplify 1/3 into 1/3 101.527 * [taylor]: Taking taylor expansion of (log (/ (cos (/ 1/2 K)) J)) in K 101.527 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 101.527 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 101.527 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 101.527 * [taylor]: Taking taylor expansion of 1/2 in K 101.527 * [backup-simplify]: Simplify 1/2 into 1/2 101.527 * [taylor]: Taking taylor expansion of K in K 101.527 * [backup-simplify]: Simplify 0 into 0 101.527 * [backup-simplify]: Simplify 1 into 1 101.527 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 101.528 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 101.528 * [taylor]: Taking taylor expansion of J in K 101.528 * [backup-simplify]: Simplify J into J 101.528 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 101.528 * [backup-simplify]: Simplify (log (/ (cos (/ 1/2 K)) J)) into (log (/ (cos (/ 1/2 K)) J)) 101.528 * [backup-simplify]: Simplify (* 1/3 (log (/ (cos (/ 1/2 K)) J))) into (* 1/3 (log (/ (cos (/ 1/2 K)) J))) 101.528 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ (cos (/ 1/2 K)) J)))) into (pow (/ (cos (/ 1/2 K)) J) 1/3) 101.528 * [taylor]: Taking taylor expansion of (pow (/ (cos (/ 1/2 K)) J) 1/3) in J 101.528 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (cos (/ 1/2 K)) J)))) in J 101.528 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (cos (/ 1/2 K)) J))) in J 101.528 * [taylor]: Taking taylor expansion of 1/3 in J 101.528 * [backup-simplify]: Simplify 1/3 into 1/3 101.528 * [taylor]: Taking taylor expansion of (log (/ (cos (/ 1/2 K)) J)) in J 101.528 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 101.528 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 101.529 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 101.529 * [taylor]: Taking taylor expansion of 1/2 in J 101.529 * [backup-simplify]: Simplify 1/2 into 1/2 101.529 * [taylor]: Taking taylor expansion of K in J 101.529 * [backup-simplify]: Simplify K into K 101.529 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 101.529 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 101.529 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 101.529 * [taylor]: Taking taylor expansion of J in J 101.529 * [backup-simplify]: Simplify 0 into 0 101.529 * [backup-simplify]: Simplify 1 into 1 101.529 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 101.529 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 101.530 * [backup-simplify]: Simplify (- 0) into 0 101.530 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 101.530 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 101.530 * [backup-simplify]: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) 101.530 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) (log (cos (/ 1/2 K)))) into (- (log (cos (/ 1/2 K))) (log J)) 101.531 * [backup-simplify]: Simplify (* 1/3 (- (log (cos (/ 1/2 K))) (log J))) into (* 1/3 (- (log (cos (/ 1/2 K))) (log J))) 101.531 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (cos (/ 1/2 K))) (log J)))) into (exp (* 1/3 (- (log (cos (/ 1/2 K))) (log J)))) 101.531 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (cos (/ 1/2 K))) (log J)))) into (exp (* 1/3 (- (log (cos (/ 1/2 K))) (log J)))) 101.531 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 101.532 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (cos (/ 1/2 K)) J) 1)))) 1) into 0 101.533 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ (cos (/ 1/2 K)) J)))) into 0 101.534 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ (cos (/ 1/2 K)) J)))) (+ (* (/ (pow 0 1) 1)))) into 0 101.534 * [taylor]: Taking taylor expansion of 0 in J 101.534 * [backup-simplify]: Simplify 0 into 0 101.534 * [backup-simplify]: Simplify 0 into 0 101.534 * [backup-simplify]: Simplify (+ 0) into 0 101.535 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 101.535 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 101.536 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 101.536 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 101.537 * [backup-simplify]: Simplify (- 0) into 0 101.537 * [backup-simplify]: Simplify (+ 0 0) into 0 101.538 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 101.539 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 1) into 0 101.539 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) (log (cos (/ 1/2 K)))) into (- (log (cos (/ 1/2 K))) (log J)) 101.540 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (cos (/ 1/2 K))) (log J)))) into 0 101.541 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (cos (/ 1/2 K))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 101.541 * [backup-simplify]: Simplify 0 into 0 101.541 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 101.543 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ (cos (/ 1/2 K)) J) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ (cos (/ 1/2 K)) J) 1)))) 2) into 0 101.544 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ (cos (/ 1/2 K)) J))))) into 0 101.546 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ (cos (/ 1/2 K)) J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 101.546 * [taylor]: Taking taylor expansion of 0 in J 101.546 * [backup-simplify]: Simplify 0 into 0 101.546 * [backup-simplify]: Simplify 0 into 0 101.546 * [backup-simplify]: Simplify 0 into 0 101.547 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 101.547 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 101.548 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 101.549 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 101.549 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 101.549 * [backup-simplify]: Simplify (- 0) into 0 101.550 * [backup-simplify]: Simplify (+ 0 0) into 0 101.551 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 101.553 * [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 0 101.553 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) (log (cos (/ 1/2 K)))) into (- (log (cos (/ 1/2 K))) (log J)) 101.554 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (cos (/ 1/2 K))) (log J))))) into 0 101.556 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (cos (/ 1/2 K))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 101.556 * [backup-simplify]: Simplify 0 into 0 101.556 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 101.560 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ (cos (/ 1/2 K)) J) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ (cos (/ 1/2 K)) J) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ (cos (/ 1/2 K)) J) 1)))) 6) into 0 101.561 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (cos (/ 1/2 K)) J)))))) into 0 101.563 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ (cos (/ 1/2 K)) J)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 101.563 * [taylor]: Taking taylor expansion of 0 in J 101.563 * [backup-simplify]: Simplify 0 into 0 101.563 * [backup-simplify]: Simplify 0 into 0 101.563 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (cos (/ 1/2 (/ 1 K)))) (log (/ 1 J))))) into (exp (* 1/3 (- (log (cos (* 1/2 K))) (log (/ 1 J))))) 101.563 * [backup-simplify]: Simplify (cbrt (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))) into (* (pow (/ (cos (/ -1/2 K)) J) 1/3) (cbrt -1)) 101.563 * [approximate]: Taking taylor expansion of (* (pow (/ (cos (/ -1/2 K)) J) 1/3) (cbrt -1)) in (K J) around 0 101.564 * [taylor]: Taking taylor expansion of (* (pow (/ (cos (/ -1/2 K)) J) 1/3) (cbrt -1)) in J 101.564 * [taylor]: Taking taylor expansion of (pow (/ (cos (/ -1/2 K)) J) 1/3) in J 101.564 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (cos (/ -1/2 K)) J)))) in J 101.564 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (cos (/ -1/2 K)) J))) in J 101.564 * [taylor]: Taking taylor expansion of 1/3 in J 101.564 * [backup-simplify]: Simplify 1/3 into 1/3 101.564 * [taylor]: Taking taylor expansion of (log (/ (cos (/ -1/2 K)) J)) in J 101.564 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 101.564 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 101.564 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 101.564 * [taylor]: Taking taylor expansion of -1/2 in J 101.564 * [backup-simplify]: Simplify -1/2 into -1/2 101.564 * [taylor]: Taking taylor expansion of K in J 101.564 * [backup-simplify]: Simplify K into K 101.564 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 101.564 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 101.564 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 101.564 * [taylor]: Taking taylor expansion of J in J 101.564 * [backup-simplify]: Simplify 0 into 0 101.564 * [backup-simplify]: Simplify 1 into 1 101.564 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 101.564 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 101.565 * [backup-simplify]: Simplify (- 0) into 0 101.565 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 101.565 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 101.565 * [backup-simplify]: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) 101.566 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) (log (cos (/ -1/2 K)))) into (- (log (cos (/ -1/2 K))) (log J)) 101.566 * [backup-simplify]: Simplify (* 1/3 (- (log (cos (/ -1/2 K))) (log J))) into (* 1/3 (- (log (cos (/ -1/2 K))) (log J))) 101.566 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (cos (/ -1/2 K))) (log J)))) into (exp (* 1/3 (- (log (cos (/ -1/2 K))) (log J)))) 101.566 * [taylor]: Taking taylor expansion of (cbrt -1) in J 101.566 * [taylor]: Taking taylor expansion of -1 in J 101.566 * [backup-simplify]: Simplify -1 into -1 101.567 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 101.568 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 101.568 * [taylor]: Taking taylor expansion of (* (pow (/ (cos (/ -1/2 K)) J) 1/3) (cbrt -1)) in K 101.568 * [taylor]: Taking taylor expansion of (pow (/ (cos (/ -1/2 K)) J) 1/3) in K 101.568 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (cos (/ -1/2 K)) J)))) in K 101.568 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (cos (/ -1/2 K)) J))) in K 101.568 * [taylor]: Taking taylor expansion of 1/3 in K 101.568 * [backup-simplify]: Simplify 1/3 into 1/3 101.568 * [taylor]: Taking taylor expansion of (log (/ (cos (/ -1/2 K)) J)) in K 101.568 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 101.568 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 101.568 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 101.568 * [taylor]: Taking taylor expansion of -1/2 in K 101.568 * [backup-simplify]: Simplify -1/2 into -1/2 101.568 * [taylor]: Taking taylor expansion of K in K 101.568 * [backup-simplify]: Simplify 0 into 0 101.568 * [backup-simplify]: Simplify 1 into 1 101.569 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 101.569 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 101.569 * [taylor]: Taking taylor expansion of J in K 101.569 * [backup-simplify]: Simplify J into J 101.569 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 101.569 * [backup-simplify]: Simplify (log (/ (cos (/ -1/2 K)) J)) into (log (/ (cos (/ -1/2 K)) J)) 101.569 * [backup-simplify]: Simplify (* 1/3 (log (/ (cos (/ -1/2 K)) J))) into (* 1/3 (log (/ (cos (/ -1/2 K)) J))) 101.569 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ (cos (/ -1/2 K)) J)))) into (pow (/ (cos (/ -1/2 K)) J) 1/3) 101.569 * [taylor]: Taking taylor expansion of (cbrt -1) in K 101.569 * [taylor]: Taking taylor expansion of -1 in K 101.569 * [backup-simplify]: Simplify -1 into -1 101.570 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 101.570 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 101.571 * [taylor]: Taking taylor expansion of (* (pow (/ (cos (/ -1/2 K)) J) 1/3) (cbrt -1)) in K 101.571 * [taylor]: Taking taylor expansion of (pow (/ (cos (/ -1/2 K)) J) 1/3) in K 101.571 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (cos (/ -1/2 K)) J)))) in K 101.571 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (cos (/ -1/2 K)) J))) in K 101.571 * [taylor]: Taking taylor expansion of 1/3 in K 101.571 * [backup-simplify]: Simplify 1/3 into 1/3 101.571 * [taylor]: Taking taylor expansion of (log (/ (cos (/ -1/2 K)) J)) in K 101.571 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 101.571 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 101.571 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 101.571 * [taylor]: Taking taylor expansion of -1/2 in K 101.571 * [backup-simplify]: Simplify -1/2 into -1/2 101.571 * [taylor]: Taking taylor expansion of K in K 101.571 * [backup-simplify]: Simplify 0 into 0 101.571 * [backup-simplify]: Simplify 1 into 1 101.571 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 101.571 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 101.571 * [taylor]: Taking taylor expansion of J in K 101.572 * [backup-simplify]: Simplify J into J 101.572 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 101.572 * [backup-simplify]: Simplify (log (/ (cos (/ -1/2 K)) J)) into (log (/ (cos (/ -1/2 K)) J)) 101.572 * [backup-simplify]: Simplify (* 1/3 (log (/ (cos (/ -1/2 K)) J))) into (* 1/3 (log (/ (cos (/ -1/2 K)) J))) 101.572 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ (cos (/ -1/2 K)) J)))) into (pow (/ (cos (/ -1/2 K)) J) 1/3) 101.572 * [taylor]: Taking taylor expansion of (cbrt -1) in K 101.572 * [taylor]: Taking taylor expansion of -1 in K 101.572 * [backup-simplify]: Simplify -1 into -1 101.573 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 101.574 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 101.574 * [backup-simplify]: Simplify (* (pow (/ (cos (/ -1/2 K)) J) 1/3) (cbrt -1)) into (* (pow (/ (cos (/ -1/2 K)) J) 1/3) (cbrt -1)) 101.574 * [taylor]: Taking taylor expansion of (* (pow (/ (cos (/ -1/2 K)) J) 1/3) (cbrt -1)) in J 101.574 * [taylor]: Taking taylor expansion of (pow (/ (cos (/ -1/2 K)) J) 1/3) in J 101.574 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (cos (/ -1/2 K)) J)))) in J 101.575 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (cos (/ -1/2 K)) J))) in J 101.575 * [taylor]: Taking taylor expansion of 1/3 in J 101.575 * [backup-simplify]: Simplify 1/3 into 1/3 101.575 * [taylor]: Taking taylor expansion of (log (/ (cos (/ -1/2 K)) J)) in J 101.575 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 101.575 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 101.575 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 101.575 * [taylor]: Taking taylor expansion of -1/2 in J 101.575 * [backup-simplify]: Simplify -1/2 into -1/2 101.575 * [taylor]: Taking taylor expansion of K in J 101.575 * [backup-simplify]: Simplify K into K 101.575 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 101.575 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 101.575 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 101.575 * [taylor]: Taking taylor expansion of J in J 101.575 * [backup-simplify]: Simplify 0 into 0 101.575 * [backup-simplify]: Simplify 1 into 1 101.575 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 101.575 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 101.576 * [backup-simplify]: Simplify (- 0) into 0 101.576 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 101.576 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 101.576 * [backup-simplify]: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) 101.576 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) (log (cos (/ -1/2 K)))) into (- (log (cos (/ -1/2 K))) (log J)) 101.577 * [backup-simplify]: Simplify (* 1/3 (- (log (cos (/ -1/2 K))) (log J))) into (* 1/3 (- (log (cos (/ -1/2 K))) (log J))) 101.577 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (cos (/ -1/2 K))) (log J)))) into (exp (* 1/3 (- (log (cos (/ -1/2 K))) (log J)))) 101.577 * [taylor]: Taking taylor expansion of (cbrt -1) in J 101.577 * [taylor]: Taking taylor expansion of -1 in J 101.577 * [backup-simplify]: Simplify -1 into -1 101.577 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 101.578 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 101.579 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (cos (/ -1/2 K))) (log J)))) (cbrt -1)) into (* (cbrt -1) (exp (* 1/3 (- (log (cos (/ -1/2 K))) (log J))))) 101.579 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log (cos (/ -1/2 K))) (log J))))) into (* (cbrt -1) (exp (* 1/3 (- (log (cos (/ -1/2 K))) (log J))))) 101.580 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0 101.580 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (cos (/ -1/2 K)) J) 1)))) 1) into 0 101.581 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ (cos (/ -1/2 K)) J)))) into 0 101.582 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ (cos (/ -1/2 K)) J)))) (+ (* (/ (pow 0 1) 1)))) into 0 101.583 * [backup-simplify]: Simplify (+ (* (pow (/ (cos (/ -1/2 K)) J) 1/3) 0) (* 0 (cbrt -1))) into 0 101.583 * [taylor]: Taking taylor expansion of 0 in J 101.583 * [backup-simplify]: Simplify 0 into 0 101.583 * [backup-simplify]: Simplify 0 into 0 101.583 * [backup-simplify]: Simplify (+ 0) into 0 101.584 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 101.584 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 101.585 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 101.585 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 101.585 * [backup-simplify]: Simplify (- 0) into 0 101.586 * [backup-simplify]: Simplify (+ 0 0) into 0 101.587 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 101.587 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 1) into 0 101.588 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) (log (cos (/ -1/2 K)))) into (- (log (cos (/ -1/2 K))) (log J)) 101.588 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (cos (/ -1/2 K))) (log J)))) into 0 101.589 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (cos (/ -1/2 K))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 101.590 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log (cos (/ -1/2 K))) (log J)))) 0) (* 0 (cbrt -1))) into 0 101.590 * [backup-simplify]: Simplify 0 into 0 101.592 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 101.592 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 101.594 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ (cos (/ -1/2 K)) J) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ (cos (/ -1/2 K)) J) 1)))) 2) into 0 101.595 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ (cos (/ -1/2 K)) J))))) into 0 101.597 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ (cos (/ -1/2 K)) J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 101.598 * [backup-simplify]: Simplify (+ (* (pow (/ (cos (/ -1/2 K)) J) 1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 101.598 * [taylor]: Taking taylor expansion of 0 in J 101.598 * [backup-simplify]: Simplify 0 into 0 101.598 * [backup-simplify]: Simplify 0 into 0 101.598 * [backup-simplify]: Simplify 0 into 0 101.599 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 101.600 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 101.601 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 101.601 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 101.602 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 101.603 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 101.603 * [backup-simplify]: Simplify (- 0) into 0 101.603 * [backup-simplify]: Simplify (+ 0 0) into 0 101.605 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 101.606 * [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 0 101.607 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) (log (cos (/ -1/2 K)))) into (- (log (cos (/ -1/2 K))) (log J)) 101.608 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (cos (/ -1/2 K))) (log J))))) into 0 101.609 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (cos (/ -1/2 K))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 101.610 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log (cos (/ -1/2 K))) (log J)))) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 101.610 * [backup-simplify]: Simplify 0 into 0 101.612 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 101.612 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 101.615 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ (cos (/ -1/2 K)) J) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ (cos (/ -1/2 K)) J) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ (cos (/ -1/2 K)) J) 1)))) 6) into 0 101.616 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (cos (/ -1/2 K)) J)))))) into 0 101.618 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ (cos (/ -1/2 K)) J)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 101.619 * [backup-simplify]: Simplify (+ (* (pow (/ (cos (/ -1/2 K)) J) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 101.619 * [taylor]: Taking taylor expansion of 0 in J 101.619 * [backup-simplify]: Simplify 0 into 0 101.619 * [backup-simplify]: Simplify 0 into 0 101.620 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log (cos (/ -1/2 (/ 1 (- K))))) (log (/ 1 (- J))))))) into (* (exp (* 1/3 (- (log (cos (* 1/2 K))) (log (/ -1 J))))) (cbrt -1)) 101.620 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 101.620 * [backup-simplify]: Simplify (cbrt (* (cos (/ K 2)) J)) into (pow (* (cos (* 1/2 K)) J) 1/3) 101.620 * [approximate]: Taking taylor expansion of (pow (* (cos (* 1/2 K)) J) 1/3) in (K J) around 0 101.620 * [taylor]: Taking taylor expansion of (pow (* (cos (* 1/2 K)) J) 1/3) in J 101.620 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (cos (* 1/2 K)) J)))) in J 101.620 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (cos (* 1/2 K)) J))) in J 101.620 * [taylor]: Taking taylor expansion of 1/3 in J 101.620 * [backup-simplify]: Simplify 1/3 into 1/3 101.621 * [taylor]: Taking taylor expansion of (log (* (cos (* 1/2 K)) J)) in J 101.621 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 101.621 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 101.621 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 101.621 * [taylor]: Taking taylor expansion of 1/2 in J 101.621 * [backup-simplify]: Simplify 1/2 into 1/2 101.621 * [taylor]: Taking taylor expansion of K in J 101.621 * [backup-simplify]: Simplify K into K 101.621 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 101.621 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 101.621 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 101.621 * [taylor]: Taking taylor expansion of J in J 101.621 * [backup-simplify]: Simplify 0 into 0 101.621 * [backup-simplify]: Simplify 1 into 1 101.621 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 101.621 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 101.622 * [backup-simplify]: Simplify (- 0) into 0 101.622 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 101.622 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 101.622 * [backup-simplify]: Simplify (+ 0) into 0 101.623 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 101.623 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 101.624 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 101.624 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 101.625 * [backup-simplify]: Simplify (- 0) into 0 101.625 * [backup-simplify]: Simplify (+ 0 0) into 0 101.626 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 101.626 * [backup-simplify]: Simplify (log (cos (* 1/2 K))) into (log (cos (* 1/2 K))) 101.626 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) (log (cos (* 1/2 K)))) into (+ (log J) (log (cos (* 1/2 K)))) 101.626 * [backup-simplify]: Simplify (* 1/3 (+ (log J) (log (cos (* 1/2 K))))) into (* 1/3 (+ (log J) (log (cos (* 1/2 K))))) 101.626 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log J) (log (cos (* 1/2 K)))))) into (exp (* 1/3 (+ (log J) (log (cos (* 1/2 K)))))) 101.627 * [taylor]: Taking taylor expansion of (pow (* (cos (* 1/2 K)) J) 1/3) in K 101.627 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (cos (* 1/2 K)) J)))) in K 101.627 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (cos (* 1/2 K)) J))) in K 101.627 * [taylor]: Taking taylor expansion of 1/3 in K 101.627 * [backup-simplify]: Simplify 1/3 into 1/3 101.627 * [taylor]: Taking taylor expansion of (log (* (cos (* 1/2 K)) J)) in K 101.627 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 101.627 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 101.627 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 101.627 * [taylor]: Taking taylor expansion of 1/2 in K 101.627 * [backup-simplify]: Simplify 1/2 into 1/2 101.627 * [taylor]: Taking taylor expansion of K in K 101.627 * [backup-simplify]: Simplify 0 into 0 101.627 * [backup-simplify]: Simplify 1 into 1 101.627 * [backup-simplify]: Simplify (* 1/2 0) into 0 101.628 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 101.628 * [taylor]: Taking taylor expansion of J in K 101.628 * [backup-simplify]: Simplify J into J 101.628 * [backup-simplify]: Simplify (* 1 J) into J 101.628 * [backup-simplify]: Simplify (log J) into (log J) 101.628 * [backup-simplify]: Simplify (* 1/3 (log J)) into (* 1/3 (log J)) 101.628 * [backup-simplify]: Simplify (exp (* 1/3 (log J))) into (pow J 1/3) 101.628 * [taylor]: Taking taylor expansion of (pow (* (cos (* 1/2 K)) J) 1/3) in K 101.628 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (cos (* 1/2 K)) J)))) in K 101.628 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (cos (* 1/2 K)) J))) in K 101.628 * [taylor]: Taking taylor expansion of 1/3 in K 101.628 * [backup-simplify]: Simplify 1/3 into 1/3 101.629 * [taylor]: Taking taylor expansion of (log (* (cos (* 1/2 K)) J)) in K 101.629 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 101.629 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 101.629 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 101.629 * [taylor]: Taking taylor expansion of 1/2 in K 101.629 * [backup-simplify]: Simplify 1/2 into 1/2 101.629 * [taylor]: Taking taylor expansion of K in K 101.629 * [backup-simplify]: Simplify 0 into 0 101.629 * [backup-simplify]: Simplify 1 into 1 101.629 * [backup-simplify]: Simplify (* 1/2 0) into 0 101.630 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 101.630 * [taylor]: Taking taylor expansion of J in K 101.630 * [backup-simplify]: Simplify J into J 101.630 * [backup-simplify]: Simplify (* 1 J) into J 101.630 * [backup-simplify]: Simplify (log J) into (log J) 101.630 * [backup-simplify]: Simplify (* 1/3 (log J)) into (* 1/3 (log J)) 101.630 * [backup-simplify]: Simplify (exp (* 1/3 (log J))) into (pow J 1/3) 101.630 * [taylor]: Taking taylor expansion of (pow J 1/3) in J 101.630 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log J))) in J 101.630 * [taylor]: Taking taylor expansion of (* 1/3 (log J)) in J 101.630 * [taylor]: Taking taylor expansion of 1/3 in J 101.630 * [backup-simplify]: Simplify 1/3 into 1/3 101.630 * [taylor]: Taking taylor expansion of (log J) in J 101.630 * [taylor]: Taking taylor expansion of J in J 101.630 * [backup-simplify]: Simplify 0 into 0 101.630 * [backup-simplify]: Simplify 1 into 1 101.631 * [backup-simplify]: Simplify (log 1) into 0 101.631 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 101.631 * [backup-simplify]: Simplify (* 1/3 (log J)) into (* 1/3 (log J)) 101.631 * [backup-simplify]: Simplify (exp (* 1/3 (log J))) into (pow J 1/3) 101.632 * [backup-simplify]: Simplify (pow J 1/3) into (pow J 1/3) 101.632 * [backup-simplify]: Simplify (+ 0) into 0 101.632 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 101.633 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 101.634 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log J))) into 0 101.634 * [backup-simplify]: Simplify (* (exp (* 1/3 (log J))) (+ (* (/ (pow 0 1) 1)))) into 0 101.634 * [taylor]: Taking taylor expansion of 0 in J 101.634 * [backup-simplify]: Simplify 0 into 0 101.635 * [backup-simplify]: Simplify 0 into 0 101.636 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 101.636 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 101.637 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log J))) into 0 101.638 * [backup-simplify]: Simplify (* (exp (* 1/3 (log J))) (+ (* (/ (pow 0 1) 1)))) into 0 101.638 * [backup-simplify]: Simplify 0 into 0 101.639 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 101.640 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J)) 101.641 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow J 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/8 J))) 1)) (pow J 1)))) 2) into -1/8 101.641 * [backup-simplify]: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 (log J)))) into (- 1/24) 101.643 * [backup-simplify]: Simplify (* (exp (* 1/3 (log J))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- 1/24) 1) 1)))) into (* -1/24 (pow J 1/3)) 101.643 * [taylor]: Taking taylor expansion of (* -1/24 (pow J 1/3)) in J 101.643 * [taylor]: Taking taylor expansion of -1/24 in J 101.643 * [backup-simplify]: Simplify -1/24 into -1/24 101.643 * [taylor]: Taking taylor expansion of (pow J 1/3) in J 101.644 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log J))) in J 101.644 * [taylor]: Taking taylor expansion of (* 1/3 (log J)) in J 101.644 * [taylor]: Taking taylor expansion of 1/3 in J 101.644 * [backup-simplify]: Simplify 1/3 into 1/3 101.644 * [taylor]: Taking taylor expansion of (log J) in J 101.644 * [taylor]: Taking taylor expansion of J in J 101.644 * [backup-simplify]: Simplify 0 into 0 101.644 * [backup-simplify]: Simplify 1 into 1 101.644 * [backup-simplify]: Simplify (log 1) into 0 101.645 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 101.645 * [backup-simplify]: Simplify (* 1/3 (log J)) into (* 1/3 (log J)) 101.645 * [backup-simplify]: Simplify (exp (* 1/3 (log J))) into (pow J 1/3) 101.645 * [backup-simplify]: Simplify (* -1/24 (pow J 1/3)) into (* -1/24 (pow J 1/3)) 101.645 * [backup-simplify]: Simplify (* -1/24 (pow J 1/3)) into (* -1/24 (pow J 1/3)) 101.645 * [backup-simplify]: Simplify 0 into 0 101.648 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 101.648 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 101.649 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log J)))) into 0 101.649 * [backup-simplify]: Simplify (* (exp (* 1/3 (log J))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 101.650 * [backup-simplify]: Simplify 0 into 0 101.650 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 101.651 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 101.652 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0 101.653 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow J 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 1/8 J))) 1)) (pow J 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow J 1)))) 6) into 0 101.654 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 (log J))))) into 0 101.660 * [backup-simplify]: Simplify (* (exp (* 1/3 (log J))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- 1/24) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 101.660 * [taylor]: Taking taylor expansion of 0 in J 101.660 * [backup-simplify]: Simplify 0 into 0 101.660 * [backup-simplify]: Simplify 0 into 0 101.661 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 101.661 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 101.662 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log J))) into 0 101.662 * [backup-simplify]: Simplify (* (exp (* 1/3 (log J))) (+ (* (/ (pow 0 1) 1)))) into 0 101.663 * [backup-simplify]: Simplify (+ (* -1/24 0) (* 0 (pow J 1/3))) into 0 101.663 * [backup-simplify]: Simplify 0 into 0 101.663 * [backup-simplify]: Simplify 0 into 0 101.665 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 101.666 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 101.667 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log J))))) into 0 101.667 * [backup-simplify]: Simplify (* (exp (* 1/3 (log J))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 101.667 * [backup-simplify]: Simplify 0 into 0 101.668 * [backup-simplify]: Simplify (+ (* (* -1/24 (pow J 1/3)) (pow (* 1 K) 2)) (pow J 1/3)) into (- (pow J 1/3) (* 1/24 (* (pow K 2) (pow J 1/3)))) 101.668 * [backup-simplify]: Simplify (cbrt (* (cos (/ (/ 1 K) 2)) (/ 1 J))) into (pow (/ (cos (/ 1/2 K)) J) 1/3) 101.668 * [approximate]: Taking taylor expansion of (pow (/ (cos (/ 1/2 K)) J) 1/3) in (K J) around 0 101.668 * [taylor]: Taking taylor expansion of (pow (/ (cos (/ 1/2 K)) J) 1/3) in J 101.668 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (cos (/ 1/2 K)) J)))) in J 101.668 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (cos (/ 1/2 K)) J))) in J 101.668 * [taylor]: Taking taylor expansion of 1/3 in J 101.668 * [backup-simplify]: Simplify 1/3 into 1/3 101.668 * [taylor]: Taking taylor expansion of (log (/ (cos (/ 1/2 K)) J)) in J 101.668 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 101.668 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 101.668 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 101.668 * [taylor]: Taking taylor expansion of 1/2 in J 101.668 * [backup-simplify]: Simplify 1/2 into 1/2 101.668 * [taylor]: Taking taylor expansion of K in J 101.668 * [backup-simplify]: Simplify K into K 101.668 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 101.668 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 101.668 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 101.668 * [taylor]: Taking taylor expansion of J in J 101.668 * [backup-simplify]: Simplify 0 into 0 101.668 * [backup-simplify]: Simplify 1 into 1 101.668 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 101.668 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 101.669 * [backup-simplify]: Simplify (- 0) into 0 101.669 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 101.669 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 101.669 * [backup-simplify]: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) 101.669 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) (log (cos (/ 1/2 K)))) into (- (log (cos (/ 1/2 K))) (log J)) 101.669 * [backup-simplify]: Simplify (* 1/3 (- (log (cos (/ 1/2 K))) (log J))) into (* 1/3 (- (log (cos (/ 1/2 K))) (log J))) 101.669 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (cos (/ 1/2 K))) (log J)))) into (exp (* 1/3 (- (log (cos (/ 1/2 K))) (log J)))) 101.669 * [taylor]: Taking taylor expansion of (pow (/ (cos (/ 1/2 K)) J) 1/3) in K 101.669 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (cos (/ 1/2 K)) J)))) in K 101.669 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (cos (/ 1/2 K)) J))) in K 101.669 * [taylor]: Taking taylor expansion of 1/3 in K 101.669 * [backup-simplify]: Simplify 1/3 into 1/3 101.669 * [taylor]: Taking taylor expansion of (log (/ (cos (/ 1/2 K)) J)) in K 101.669 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 101.669 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 101.669 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 101.669 * [taylor]: Taking taylor expansion of 1/2 in K 101.669 * [backup-simplify]: Simplify 1/2 into 1/2 101.669 * [taylor]: Taking taylor expansion of K in K 101.669 * [backup-simplify]: Simplify 0 into 0 101.669 * [backup-simplify]: Simplify 1 into 1 101.670 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 101.670 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 101.670 * [taylor]: Taking taylor expansion of J in K 101.670 * [backup-simplify]: Simplify J into J 101.670 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 101.670 * [backup-simplify]: Simplify (log (/ (cos (/ 1/2 K)) J)) into (log (/ (cos (/ 1/2 K)) J)) 101.670 * [backup-simplify]: Simplify (* 1/3 (log (/ (cos (/ 1/2 K)) J))) into (* 1/3 (log (/ (cos (/ 1/2 K)) J))) 101.670 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ (cos (/ 1/2 K)) J)))) into (pow (/ (cos (/ 1/2 K)) J) 1/3) 101.670 * [taylor]: Taking taylor expansion of (pow (/ (cos (/ 1/2 K)) J) 1/3) in K 101.670 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (cos (/ 1/2 K)) J)))) in K 101.670 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (cos (/ 1/2 K)) J))) in K 101.670 * [taylor]: Taking taylor expansion of 1/3 in K 101.670 * [backup-simplify]: Simplify 1/3 into 1/3 101.670 * [taylor]: Taking taylor expansion of (log (/ (cos (/ 1/2 K)) J)) in K 101.670 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 101.670 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 101.670 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 101.670 * [taylor]: Taking taylor expansion of 1/2 in K 101.670 * [backup-simplify]: Simplify 1/2 into 1/2 101.670 * [taylor]: Taking taylor expansion of K in K 101.670 * [backup-simplify]: Simplify 0 into 0 101.670 * [backup-simplify]: Simplify 1 into 1 101.671 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 101.671 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 101.671 * [taylor]: Taking taylor expansion of J in K 101.671 * [backup-simplify]: Simplify J into J 101.671 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 101.671 * [backup-simplify]: Simplify (log (/ (cos (/ 1/2 K)) J)) into (log (/ (cos (/ 1/2 K)) J)) 101.671 * [backup-simplify]: Simplify (* 1/3 (log (/ (cos (/ 1/2 K)) J))) into (* 1/3 (log (/ (cos (/ 1/2 K)) J))) 101.671 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ (cos (/ 1/2 K)) J)))) into (pow (/ (cos (/ 1/2 K)) J) 1/3) 101.671 * [taylor]: Taking taylor expansion of (pow (/ (cos (/ 1/2 K)) J) 1/3) in J 101.671 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (cos (/ 1/2 K)) J)))) in J 101.671 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (cos (/ 1/2 K)) J))) in J 101.671 * [taylor]: Taking taylor expansion of 1/3 in J 101.671 * [backup-simplify]: Simplify 1/3 into 1/3 101.671 * [taylor]: Taking taylor expansion of (log (/ (cos (/ 1/2 K)) J)) in J 101.671 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 101.671 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 101.671 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 101.671 * [taylor]: Taking taylor expansion of 1/2 in J 101.671 * [backup-simplify]: Simplify 1/2 into 1/2 101.671 * [taylor]: Taking taylor expansion of K in J 101.671 * [backup-simplify]: Simplify K into K 101.671 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 101.671 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 101.671 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 101.671 * [taylor]: Taking taylor expansion of J in J 101.671 * [backup-simplify]: Simplify 0 into 0 101.671 * [backup-simplify]: Simplify 1 into 1 101.671 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 101.672 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 101.672 * [backup-simplify]: Simplify (- 0) into 0 101.672 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 101.672 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 101.672 * [backup-simplify]: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) 101.672 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) (log (cos (/ 1/2 K)))) into (- (log (cos (/ 1/2 K))) (log J)) 101.672 * [backup-simplify]: Simplify (* 1/3 (- (log (cos (/ 1/2 K))) (log J))) into (* 1/3 (- (log (cos (/ 1/2 K))) (log J))) 101.672 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (cos (/ 1/2 K))) (log J)))) into (exp (* 1/3 (- (log (cos (/ 1/2 K))) (log J)))) 101.673 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (cos (/ 1/2 K))) (log J)))) into (exp (* 1/3 (- (log (cos (/ 1/2 K))) (log J)))) 101.673 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 101.673 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (cos (/ 1/2 K)) J) 1)))) 1) into 0 101.674 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ (cos (/ 1/2 K)) J)))) into 0 101.674 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ (cos (/ 1/2 K)) J)))) (+ (* (/ (pow 0 1) 1)))) into 0 101.674 * [taylor]: Taking taylor expansion of 0 in J 101.674 * [backup-simplify]: Simplify 0 into 0 101.674 * [backup-simplify]: Simplify 0 into 0 101.674 * [backup-simplify]: Simplify (+ 0) into 0 101.675 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 101.675 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 101.675 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 101.676 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 101.676 * [backup-simplify]: Simplify (- 0) into 0 101.676 * [backup-simplify]: Simplify (+ 0 0) into 0 101.677 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 101.677 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 1) into 0 101.678 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) (log (cos (/ 1/2 K)))) into (- (log (cos (/ 1/2 K))) (log J)) 101.678 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (cos (/ 1/2 K))) (log J)))) into 0 101.678 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (cos (/ 1/2 K))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 101.678 * [backup-simplify]: Simplify 0 into 0 101.679 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 101.680 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ (cos (/ 1/2 K)) J) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ (cos (/ 1/2 K)) J) 1)))) 2) into 0 101.680 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ (cos (/ 1/2 K)) J))))) into 0 101.681 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ (cos (/ 1/2 K)) J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 101.681 * [taylor]: Taking taylor expansion of 0 in J 101.681 * [backup-simplify]: Simplify 0 into 0 101.681 * [backup-simplify]: Simplify 0 into 0 101.681 * [backup-simplify]: Simplify 0 into 0 101.682 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 101.682 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 101.682 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 101.683 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 101.683 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 101.683 * [backup-simplify]: Simplify (- 0) into 0 101.684 * [backup-simplify]: Simplify (+ 0 0) into 0 101.684 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 101.685 * [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 0 101.686 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) (log (cos (/ 1/2 K)))) into (- (log (cos (/ 1/2 K))) (log J)) 101.686 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (cos (/ 1/2 K))) (log J))))) into 0 101.687 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (cos (/ 1/2 K))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 101.687 * [backup-simplify]: Simplify 0 into 0 101.687 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 101.689 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ (cos (/ 1/2 K)) J) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ (cos (/ 1/2 K)) J) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ (cos (/ 1/2 K)) J) 1)))) 6) into 0 101.690 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (cos (/ 1/2 K)) J)))))) into 0 101.691 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ (cos (/ 1/2 K)) J)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 101.691 * [taylor]: Taking taylor expansion of 0 in J 101.691 * [backup-simplify]: Simplify 0 into 0 101.691 * [backup-simplify]: Simplify 0 into 0 101.691 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (cos (/ 1/2 (/ 1 K)))) (log (/ 1 J))))) into (exp (* 1/3 (- (log (cos (* 1/2 K))) (log (/ 1 J))))) 101.691 * [backup-simplify]: Simplify (cbrt (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))) into (* (pow (/ (cos (/ -1/2 K)) J) 1/3) (cbrt -1)) 101.691 * [approximate]: Taking taylor expansion of (* (pow (/ (cos (/ -1/2 K)) J) 1/3) (cbrt -1)) in (K J) around 0 101.691 * [taylor]: Taking taylor expansion of (* (pow (/ (cos (/ -1/2 K)) J) 1/3) (cbrt -1)) in J 101.691 * [taylor]: Taking taylor expansion of (pow (/ (cos (/ -1/2 K)) J) 1/3) in J 101.691 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (cos (/ -1/2 K)) J)))) in J 101.691 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (cos (/ -1/2 K)) J))) in J 101.691 * [taylor]: Taking taylor expansion of 1/3 in J 101.691 * [backup-simplify]: Simplify 1/3 into 1/3 101.691 * [taylor]: Taking taylor expansion of (log (/ (cos (/ -1/2 K)) J)) in J 101.691 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 101.691 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 101.692 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 101.692 * [taylor]: Taking taylor expansion of -1/2 in J 101.692 * [backup-simplify]: Simplify -1/2 into -1/2 101.692 * [taylor]: Taking taylor expansion of K in J 101.692 * [backup-simplify]: Simplify K into K 101.692 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 101.692 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 101.692 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 101.692 * [taylor]: Taking taylor expansion of J in J 101.692 * [backup-simplify]: Simplify 0 into 0 101.692 * [backup-simplify]: Simplify 1 into 1 101.692 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 101.692 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 101.692 * [backup-simplify]: Simplify (- 0) into 0 101.692 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 101.692 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 101.692 * [backup-simplify]: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) 101.693 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) (log (cos (/ -1/2 K)))) into (- (log (cos (/ -1/2 K))) (log J)) 101.693 * [backup-simplify]: Simplify (* 1/3 (- (log (cos (/ -1/2 K))) (log J))) into (* 1/3 (- (log (cos (/ -1/2 K))) (log J))) 101.693 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (cos (/ -1/2 K))) (log J)))) into (exp (* 1/3 (- (log (cos (/ -1/2 K))) (log J)))) 101.693 * [taylor]: Taking taylor expansion of (cbrt -1) in J 101.693 * [taylor]: Taking taylor expansion of -1 in J 101.693 * [backup-simplify]: Simplify -1 into -1 101.693 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 101.694 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 101.694 * [taylor]: Taking taylor expansion of (* (pow (/ (cos (/ -1/2 K)) J) 1/3) (cbrt -1)) in K 101.694 * [taylor]: Taking taylor expansion of (pow (/ (cos (/ -1/2 K)) J) 1/3) in K 101.694 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (cos (/ -1/2 K)) J)))) in K 101.694 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (cos (/ -1/2 K)) J))) in K 101.694 * [taylor]: Taking taylor expansion of 1/3 in K 101.694 * [backup-simplify]: Simplify 1/3 into 1/3 101.694 * [taylor]: Taking taylor expansion of (log (/ (cos (/ -1/2 K)) J)) in K 101.694 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 101.694 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 101.694 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 101.694 * [taylor]: Taking taylor expansion of -1/2 in K 101.694 * [backup-simplify]: Simplify -1/2 into -1/2 101.694 * [taylor]: Taking taylor expansion of K in K 101.694 * [backup-simplify]: Simplify 0 into 0 101.694 * [backup-simplify]: Simplify 1 into 1 101.694 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 101.694 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 101.694 * [taylor]: Taking taylor expansion of J in K 101.694 * [backup-simplify]: Simplify J into J 101.694 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 101.694 * [backup-simplify]: Simplify (log (/ (cos (/ -1/2 K)) J)) into (log (/ (cos (/ -1/2 K)) J)) 101.694 * [backup-simplify]: Simplify (* 1/3 (log (/ (cos (/ -1/2 K)) J))) into (* 1/3 (log (/ (cos (/ -1/2 K)) J))) 101.694 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ (cos (/ -1/2 K)) J)))) into (pow (/ (cos (/ -1/2 K)) J) 1/3) 101.694 * [taylor]: Taking taylor expansion of (cbrt -1) in K 101.695 * [taylor]: Taking taylor expansion of -1 in K 101.695 * [backup-simplify]: Simplify -1 into -1 101.695 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 101.695 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 101.695 * [taylor]: Taking taylor expansion of (* (pow (/ (cos (/ -1/2 K)) J) 1/3) (cbrt -1)) in K 101.695 * [taylor]: Taking taylor expansion of (pow (/ (cos (/ -1/2 K)) J) 1/3) in K 101.695 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (cos (/ -1/2 K)) J)))) in K 101.695 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (cos (/ -1/2 K)) J))) in K 101.695 * [taylor]: Taking taylor expansion of 1/3 in K 101.695 * [backup-simplify]: Simplify 1/3 into 1/3 101.695 * [taylor]: Taking taylor expansion of (log (/ (cos (/ -1/2 K)) J)) in K 101.695 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 101.695 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 101.695 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 101.695 * [taylor]: Taking taylor expansion of -1/2 in K 101.695 * [backup-simplify]: Simplify -1/2 into -1/2 101.695 * [taylor]: Taking taylor expansion of K in K 101.695 * [backup-simplify]: Simplify 0 into 0 101.695 * [backup-simplify]: Simplify 1 into 1 101.696 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 101.696 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 101.696 * [taylor]: Taking taylor expansion of J in K 101.696 * [backup-simplify]: Simplify J into J 101.696 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 101.696 * [backup-simplify]: Simplify (log (/ (cos (/ -1/2 K)) J)) into (log (/ (cos (/ -1/2 K)) J)) 101.696 * [backup-simplify]: Simplify (* 1/3 (log (/ (cos (/ -1/2 K)) J))) into (* 1/3 (log (/ (cos (/ -1/2 K)) J))) 101.696 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ (cos (/ -1/2 K)) J)))) into (pow (/ (cos (/ -1/2 K)) J) 1/3) 101.696 * [taylor]: Taking taylor expansion of (cbrt -1) in K 101.696 * [taylor]: Taking taylor expansion of -1 in K 101.696 * [backup-simplify]: Simplify -1 into -1 101.696 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 101.697 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 101.698 * [backup-simplify]: Simplify (* (pow (/ (cos (/ -1/2 K)) J) 1/3) (cbrt -1)) into (* (pow (/ (cos (/ -1/2 K)) J) 1/3) (cbrt -1)) 101.698 * [taylor]: Taking taylor expansion of (* (pow (/ (cos (/ -1/2 K)) J) 1/3) (cbrt -1)) in J 101.698 * [taylor]: Taking taylor expansion of (pow (/ (cos (/ -1/2 K)) J) 1/3) in J 101.698 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (cos (/ -1/2 K)) J)))) in J 101.698 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (cos (/ -1/2 K)) J))) in J 101.698 * [taylor]: Taking taylor expansion of 1/3 in J 101.698 * [backup-simplify]: Simplify 1/3 into 1/3 101.698 * [taylor]: Taking taylor expansion of (log (/ (cos (/ -1/2 K)) J)) in J 101.698 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 101.698 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 101.698 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 101.698 * [taylor]: Taking taylor expansion of -1/2 in J 101.698 * [backup-simplify]: Simplify -1/2 into -1/2 101.698 * [taylor]: Taking taylor expansion of K in J 101.698 * [backup-simplify]: Simplify K into K 101.698 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 101.698 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 101.698 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 101.698 * [taylor]: Taking taylor expansion of J in J 101.698 * [backup-simplify]: Simplify 0 into 0 101.698 * [backup-simplify]: Simplify 1 into 1 101.698 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 101.698 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 101.698 * [backup-simplify]: Simplify (- 0) into 0 101.698 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 101.698 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 101.698 * [backup-simplify]: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) 101.699 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) (log (cos (/ -1/2 K)))) into (- (log (cos (/ -1/2 K))) (log J)) 101.699 * [backup-simplify]: Simplify (* 1/3 (- (log (cos (/ -1/2 K))) (log J))) into (* 1/3 (- (log (cos (/ -1/2 K))) (log J))) 101.699 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (cos (/ -1/2 K))) (log J)))) into (exp (* 1/3 (- (log (cos (/ -1/2 K))) (log J)))) 101.699 * [taylor]: Taking taylor expansion of (cbrt -1) in J 101.699 * [taylor]: Taking taylor expansion of -1 in J 101.699 * [backup-simplify]: Simplify -1 into -1 101.699 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 101.700 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 101.700 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (cos (/ -1/2 K))) (log J)))) (cbrt -1)) into (* (cbrt -1) (exp (* 1/3 (- (log (cos (/ -1/2 K))) (log J))))) 101.701 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log (cos (/ -1/2 K))) (log J))))) into (* (cbrt -1) (exp (* 1/3 (- (log (cos (/ -1/2 K))) (log J))))) 101.701 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0 101.702 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (cos (/ -1/2 K)) J) 1)))) 1) into 0 101.703 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ (cos (/ -1/2 K)) J)))) into 0 101.704 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ (cos (/ -1/2 K)) J)))) (+ (* (/ (pow 0 1) 1)))) into 0 101.705 * [backup-simplify]: Simplify (+ (* (pow (/ (cos (/ -1/2 K)) J) 1/3) 0) (* 0 (cbrt -1))) into 0 101.705 * [taylor]: Taking taylor expansion of 0 in J 101.705 * [backup-simplify]: Simplify 0 into 0 101.705 * [backup-simplify]: Simplify 0 into 0 101.705 * [backup-simplify]: Simplify (+ 0) into 0 101.706 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 101.706 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 101.707 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 101.707 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 101.708 * [backup-simplify]: Simplify (- 0) into 0 101.708 * [backup-simplify]: Simplify (+ 0 0) into 0 101.709 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 101.710 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 1) into 0 101.710 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) (log (cos (/ -1/2 K)))) into (- (log (cos (/ -1/2 K))) (log J)) 101.711 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (cos (/ -1/2 K))) (log J)))) into 0 101.712 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (cos (/ -1/2 K))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 101.712 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log (cos (/ -1/2 K))) (log J)))) 0) (* 0 (cbrt -1))) into 0 101.713 * [backup-simplify]: Simplify 0 into 0 101.714 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 101.714 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 101.716 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ (cos (/ -1/2 K)) J) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ (cos (/ -1/2 K)) J) 1)))) 2) into 0 101.717 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ (cos (/ -1/2 K)) J))))) into 0 101.718 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ (cos (/ -1/2 K)) J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 101.719 * [backup-simplify]: Simplify (+ (* (pow (/ (cos (/ -1/2 K)) J) 1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 101.719 * [taylor]: Taking taylor expansion of 0 in J 101.719 * [backup-simplify]: Simplify 0 into 0 101.719 * [backup-simplify]: Simplify 0 into 0 101.719 * [backup-simplify]: Simplify 0 into 0 101.721 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 101.722 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 101.723 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 101.723 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 101.723 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 101.724 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 101.724 * [backup-simplify]: Simplify (- 0) into 0 101.725 * [backup-simplify]: Simplify (+ 0 0) into 0 101.726 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 101.728 * [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 0 101.728 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) (log (cos (/ -1/2 K)))) into (- (log (cos (/ -1/2 K))) (log J)) 101.729 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (cos (/ -1/2 K))) (log J))))) into 0 101.731 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (cos (/ -1/2 K))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 101.732 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log (cos (/ -1/2 K))) (log J)))) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 101.732 * [backup-simplify]: Simplify 0 into 0 101.733 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 101.733 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 101.736 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ (cos (/ -1/2 K)) J) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ (cos (/ -1/2 K)) J) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ (cos (/ -1/2 K)) J) 1)))) 6) into 0 101.737 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (cos (/ -1/2 K)) J)))))) into 0 101.739 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ (cos (/ -1/2 K)) J)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 101.740 * [backup-simplify]: Simplify (+ (* (pow (/ (cos (/ -1/2 K)) J) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 101.740 * [taylor]: Taking taylor expansion of 0 in J 101.740 * [backup-simplify]: Simplify 0 into 0 101.740 * [backup-simplify]: Simplify 0 into 0 101.740 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log (cos (/ -1/2 (/ 1 (- K))))) (log (/ 1 (- J))))))) into (* (exp (* 1/3 (- (log (cos (* 1/2 K))) (log (/ -1 J))))) (cbrt -1)) 101.741 * * * [progress]: simplifying candidates 101.741 * * * * [progress]: [ 1 / 79 ] simplifiying candidate # 101.741 * * * * [progress]: [ 2 / 79 ] simplifiying candidate # 101.741 * * * * [progress]: [ 3 / 79 ] simplifiying candidate # 101.741 * * * * [progress]: [ 4 / 79 ] simplifiying candidate # 101.741 * * * * [progress]: [ 5 / 79 ] simplifiying candidate # 101.741 * * * * [progress]: [ 6 / 79 ] simplifiying candidate # 101.741 * * * * [progress]: [ 7 / 79 ] simplifiying candidate # 101.741 * [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)))) 101.741 * * [simplify]: iters left: 6 (15 enodes) 101.745 * * [simplify]: iters left: 5 (59 enodes) 101.755 * * [simplify]: iters left: 4 (112 enodes) 101.798 * * [simplify]: iters left: 3 (365 enodes) 102.048 * * [simplify]: Extracting #0: cost 1 inf + 0 102.048 * * [simplify]: Extracting #1: cost 4 inf + 0 102.048 * * [simplify]: Extracting #2: cost 7 inf + 0 102.048 * * [simplify]: Extracting #3: cost 10 inf + 0 102.049 * * [simplify]: Extracting #4: cost 121 inf + 1 102.051 * * [simplify]: Extracting #5: cost 240 inf + 89 102.054 * * [simplify]: Extracting #6: cost 202 inf + 3666 102.062 * * [simplify]: Extracting #7: cost 127 inf + 17960 102.085 * * [simplify]: Extracting #8: cost 13 inf + 45665 102.115 * * [simplify]: Extracting #9: cost 0 inf + 48778 102.150 * [simplify]: Simplified to (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) 102.150 * [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)) J)) (cbrt (* (cos (/ K 2)) J))) (cbrt (* (cos (/ K 2)) J))))) 102.150 * * * * [progress]: [ 8 / 79 ] simplifiying candidate # 102.151 * [simplify]: Simplifying (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) 102.151 * * [simplify]: iters left: 6 (14 enodes) 102.159 * * [simplify]: iters left: 5 (55 enodes) 102.178 * * [simplify]: iters left: 4 (108 enodes) 102.230 * * [simplify]: iters left: 3 (363 enodes) 102.499 * * [simplify]: Extracting #0: cost 1 inf + 0 102.499 * * [simplify]: Extracting #1: cost 3 inf + 0 102.499 * * [simplify]: Extracting #2: cost 5 inf + 0 102.499 * * [simplify]: Extracting #3: cost 8 inf + 0 102.500 * * [simplify]: Extracting #4: cost 123 inf + 1 102.502 * * [simplify]: Extracting #5: cost 233 inf + 420 102.505 * * [simplify]: Extracting #6: cost 202 inf + 3094 102.517 * * [simplify]: Extracting #7: cost 126 inf + 18949 102.544 * * [simplify]: Extracting #8: cost 7 inf + 46677 102.574 * * [simplify]: Extracting #9: cost 0 inf + 48049 102.597 * [simplify]: Simplified to (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 102.597 * [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)) J)) (cbrt (* (cos (/ K 2)) J))) (cbrt (* (cos (/ K 2)) J))))) 102.597 * * * * [progress]: [ 9 / 79 ] simplifiying candidate # 102.597 * [simplify]: Simplifying (sqrt 1) 102.597 * * [simplify]: iters left: 1 (2 enodes) 102.599 * * [simplify]: Extracting #0: cost 1 inf + 0 102.600 * * [simplify]: Extracting #1: cost 0 inf + 1 102.600 * [simplify]: Simplified to 1 102.600 * [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)) J)) (cbrt (* (cos (/ K 2)) J))) (cbrt (* (cos (/ K 2)) J))))) 102.600 * * * * [progress]: [ 10 / 79 ] simplifiying candidate # 102.600 * [simplify]: Simplifying (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3))) 102.600 * * [simplify]: iters left: 6 (16 enodes) 102.605 * * [simplify]: iters left: 5 (70 enodes) 102.623 * * [simplify]: iters left: 4 (176 enodes) 102.781 * * [simplify]: Extracting #0: cost 1 inf + 0 102.781 * * [simplify]: Extracting #1: cost 3 inf + 0 102.781 * * [simplify]: Extracting #2: cost 6 inf + 0 102.781 * * [simplify]: Extracting #3: cost 103 inf + 1 102.783 * * [simplify]: Extracting #4: cost 306 inf + 6 102.786 * * [simplify]: Extracting #5: cost 338 inf + 1810 102.791 * * [simplify]: Extracting #6: cost 242 inf + 27932 102.808 * * [simplify]: Extracting #7: cost 28 inf + 100762 102.844 * * [simplify]: Extracting #8: cost 0 inf + 110036 102.893 * [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))))))) 102.893 * [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)) J)) (cbrt (* (cos (/ K 2)) J))) (cbrt (* (cos (/ K 2)) J))))) 102.893 * * * * [progress]: [ 11 / 79 ] simplifiying candidate # 102.894 * [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))) 102.894 * * [simplify]: iters left: 6 (15 enodes) 102.903 * * [simplify]: iters left: 5 (62 enodes) 102.926 * * [simplify]: iters left: 4 (150 enodes) 103.069 * * [simplify]: Extracting #0: cost 1 inf + 0 103.069 * * [simplify]: Extracting #1: cost 3 inf + 0 103.069 * * [simplify]: Extracting #2: cost 9 inf + 0 103.070 * * [simplify]: Extracting #3: cost 105 inf + 2 103.070 * * [simplify]: Extracting #4: cost 286 inf + 6 103.072 * * [simplify]: Extracting #5: cost 280 inf + 1923 103.076 * * [simplify]: Extracting #6: cost 190 inf + 25494 103.091 * * [simplify]: Extracting #7: cost 26 inf + 76271 103.125 * * [simplify]: Extracting #8: cost 0 inf + 85028 103.165 * [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)) 103.165 * [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)) J)) (cbrt (* (cos (/ K 2)) J))) (cbrt (* (cos (/ K 2)) J))))) 103.165 * * * * [progress]: [ 12 / 79 ] simplifiying candidate # 103.166 * [simplify]: Simplifying (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 103.166 * * [simplify]: iters left: 6 (12 enodes) 103.173 * * [simplify]: iters left: 5 (49 enodes) 103.190 * * [simplify]: iters left: 4 (102 enodes) 103.241 * * [simplify]: iters left: 3 (356 enodes) 103.503 * * [simplify]: Extracting #0: cost 1 inf + 0 103.503 * * [simplify]: Extracting #1: cost 4 inf + 0 103.504 * * [simplify]: Extracting #2: cost 116 inf + 1 103.506 * * [simplify]: Extracting #3: cost 233 inf + 254 103.509 * * [simplify]: Extracting #4: cost 191 inf + 4198 103.518 * * [simplify]: Extracting #5: cost 121 inf + 19052 103.537 * * [simplify]: Extracting #6: cost 5 inf + 46127 103.551 * * [simplify]: Extracting #7: cost 0 inf + 46934 103.565 * * [simplify]: Extracting #8: cost 0 inf + 46815 103.588 * [simplify]: Simplified to (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 103.589 * [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)) J)) (cbrt (* (cos (/ K 2)) J))) (cbrt (* (cos (/ K 2)) J))))) 103.589 * * * * [progress]: [ 13 / 79 ] simplifiying candidate # 103.589 * * * * [progress]: [ 14 / 79 ] simplifiying candidate # 103.589 * [simplify]: Simplifying (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 103.589 * * [simplify]: iters left: 6 (13 enodes) 103.597 * * [simplify]: iters left: 5 (52 enodes) 103.615 * * [simplify]: iters left: 4 (105 enodes) 103.653 * * [simplify]: iters left: 3 (359 enodes) 103.901 * * [simplify]: Extracting #0: cost 1 inf + 0 103.901 * * [simplify]: Extracting #1: cost 3 inf + 0 103.901 * * [simplify]: Extracting #2: cost 6 inf + 0 103.901 * * [simplify]: Extracting #3: cost 117 inf + 1 103.904 * * [simplify]: Extracting #4: cost 234 inf + 336 103.905 * * [simplify]: Extracting #5: cost 191 inf + 4484 103.909 * * [simplify]: Extracting #6: cost 119 inf + 19165 103.922 * * [simplify]: Extracting #7: cost 7 inf + 45857 103.941 * * [simplify]: Extracting #8: cost 0 inf + 47305 103.958 * [simplify]: Simplified to (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 103.958 * [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)) J)) (cbrt (* (cos (/ K 2)) J))) (cbrt (* (cos (/ K 2)) J))))) 103.958 * * * * [progress]: [ 15 / 79 ] simplifiying candidate # 103.958 * * * * [progress]: [ 16 / 79 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J))) (cbrt (* (cos (/ K 2)) J)))))> 103.958 * * * * [progress]: [ 17 / 79 ] simplifiying candidate # 103.958 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J))) (cbrt (* (cos (/ K 2)) J)))) 103.958 * * [simplify]: iters left: 6 (19 enodes) 103.964 * * [simplify]: iters left: 5 (77 enodes) 103.987 * * [simplify]: iters left: 4 (156 enodes) 104.035 * * [simplify]: iters left: 3 (460 enodes) 104.393 * * [simplify]: Extracting #0: cost 1 inf + 0 104.394 * * [simplify]: Extracting #1: cost 22 inf + 0 104.394 * * [simplify]: Extracting #2: cost 49 inf + 2 104.394 * * [simplify]: Extracting #3: cost 53 inf + 46 104.395 * * [simplify]: Extracting #4: cost 191 inf + 50 104.399 * * [simplify]: Extracting #5: cost 365 inf + 4843 104.429 * * [simplify]: Extracting #6: cost 111 inf + 68765 104.476 * * [simplify]: Extracting #7: cost 5 inf + 102080 104.526 * * [simplify]: Extracting #8: cost 0 inf + 104442 104.576 * * [simplify]: Extracting #9: cost 0 inf + 104441 104.606 * [simplify]: Simplified to (* (* -2 (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (cos (/ K 2)) J)) 104.606 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* -2 (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (cos (/ K 2)) J)) 1)) 104.606 * * * * [progress]: [ 18 / 79 ] simplifiying candidate # 104.607 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J))) (cbrt (* (cos (/ K 2)) J)))) 104.607 * * [simplify]: iters left: 6 (19 enodes) 104.613 * * [simplify]: iters left: 5 (77 enodes) 104.627 * * [simplify]: iters left: 4 (156 enodes) 104.701 * * [simplify]: iters left: 3 (460 enodes) 105.083 * * [simplify]: Extracting #0: cost 1 inf + 0 105.083 * * [simplify]: Extracting #1: cost 22 inf + 0 105.083 * * [simplify]: Extracting #2: cost 49 inf + 2 105.083 * * [simplify]: Extracting #3: cost 53 inf + 46 105.084 * * [simplify]: Extracting #4: cost 191 inf + 50 105.088 * * [simplify]: Extracting #5: cost 365 inf + 4843 105.114 * * [simplify]: Extracting #6: cost 111 inf + 68765 105.150 * * [simplify]: Extracting #7: cost 5 inf + 102080 105.179 * * [simplify]: Extracting #8: cost 0 inf + 104442 105.214 * * [simplify]: Extracting #9: cost 0 inf + 104441 105.239 * [simplify]: Simplified to (* (* -2 (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (cos (/ K 2)) J)) 105.239 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* -2 (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (cos (/ K 2)) J)) 1)) 105.240 * * * * [progress]: [ 19 / 79 ] simplifiying candidate # 105.240 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J))) (cbrt (* (cos (/ K 2)) J)))) 105.240 * * [simplify]: iters left: 6 (19 enodes) 105.246 * * [simplify]: iters left: 5 (77 enodes) 105.270 * * [simplify]: iters left: 4 (156 enodes) 105.345 * * [simplify]: iters left: 3 (460 enodes) 105.659 * * [simplify]: Extracting #0: cost 1 inf + 0 105.659 * * [simplify]: Extracting #1: cost 22 inf + 0 105.659 * * [simplify]: Extracting #2: cost 49 inf + 2 105.660 * * [simplify]: Extracting #3: cost 53 inf + 46 105.661 * * [simplify]: Extracting #4: cost 191 inf + 50 105.665 * * [simplify]: Extracting #5: cost 365 inf + 4843 105.679 * * [simplify]: Extracting #6: cost 111 inf + 68765 105.708 * * [simplify]: Extracting #7: cost 5 inf + 102080 105.738 * * [simplify]: Extracting #8: cost 0 inf + 104442 105.785 * * [simplify]: Extracting #9: cost 0 inf + 104441 105.811 * [simplify]: Simplified to (* (* -2 (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (cos (/ K 2)) J)) 105.811 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* -2 (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (cos (/ K 2)) J)) 1)) 105.811 * * * * [progress]: [ 20 / 79 ] simplifiying candidate # 105.811 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J))) (cbrt (* (cos (/ K 2)) J)))) 105.811 * * [simplify]: iters left: 6 (19 enodes) 105.817 * * [simplify]: iters left: 5 (77 enodes) 105.839 * * [simplify]: iters left: 4 (156 enodes) 105.884 * * [simplify]: iters left: 3 (460 enodes) 106.231 * * [simplify]: Extracting #0: cost 1 inf + 0 106.231 * * [simplify]: Extracting #1: cost 22 inf + 0 106.232 * * [simplify]: Extracting #2: cost 49 inf + 2 106.232 * * [simplify]: Extracting #3: cost 53 inf + 46 106.232 * * [simplify]: Extracting #4: cost 191 inf + 50 106.234 * * [simplify]: Extracting #5: cost 365 inf + 4843 106.257 * * [simplify]: Extracting #6: cost 111 inf + 68765 106.285 * * [simplify]: Extracting #7: cost 5 inf + 102080 106.332 * * [simplify]: Extracting #8: cost 0 inf + 104442 106.368 * * [simplify]: Extracting #9: cost 0 inf + 104441 106.400 * [simplify]: Simplified to (* (* -2 (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (cos (/ K 2)) J)) 106.400 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* -2 (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (cos (/ K 2)) J)) 1)) 106.400 * * * * [progress]: [ 21 / 79 ] simplifiying candidate # 106.400 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J))) (cbrt (* (cos (/ K 2)) J)))) 106.401 * * [simplify]: iters left: 6 (19 enodes) 106.412 * * [simplify]: iters left: 5 (77 enodes) 106.426 * * [simplify]: iters left: 4 (156 enodes) 106.465 * * [simplify]: iters left: 3 (460 enodes) 106.803 * * [simplify]: Extracting #0: cost 1 inf + 0 106.803 * * [simplify]: Extracting #1: cost 22 inf + 0 106.803 * * [simplify]: Extracting #2: cost 49 inf + 2 106.804 * * [simplify]: Extracting #3: cost 53 inf + 46 106.805 * * [simplify]: Extracting #4: cost 191 inf + 50 106.809 * * [simplify]: Extracting #5: cost 365 inf + 4843 106.834 * * [simplify]: Extracting #6: cost 111 inf + 68765 106.887 * * [simplify]: Extracting #7: cost 5 inf + 102080 106.924 * * [simplify]: Extracting #8: cost 0 inf + 104442 106.959 * * [simplify]: Extracting #9: cost 0 inf + 104441 106.989 * [simplify]: Simplified to (* (* -2 (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (cos (/ K 2)) J)) 106.989 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* -2 (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (cos (/ K 2)) J)) 1)) 106.990 * * * * [progress]: [ 22 / 79 ] simplifiying candidate # 106.990 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J))) (cbrt (* (cos (/ K 2)) J)))) 106.990 * * [simplify]: iters left: 6 (19 enodes) 106.999 * * [simplify]: iters left: 5 (77 enodes) 107.013 * * [simplify]: iters left: 4 (156 enodes) 107.061 * * [simplify]: iters left: 3 (460 enodes) 107.429 * * [simplify]: Extracting #0: cost 1 inf + 0 107.429 * * [simplify]: Extracting #1: cost 22 inf + 0 107.429 * * [simplify]: Extracting #2: cost 49 inf + 2 107.430 * * [simplify]: Extracting #3: cost 53 inf + 46 107.430 * * [simplify]: Extracting #4: cost 191 inf + 50 107.440 * * [simplify]: Extracting #5: cost 365 inf + 4843 107.465 * * [simplify]: Extracting #6: cost 111 inf + 68765 107.512 * * [simplify]: Extracting #7: cost 5 inf + 102080 107.562 * * [simplify]: Extracting #8: cost 0 inf + 104442 107.609 * * [simplify]: Extracting #9: cost 0 inf + 104441 107.636 * [simplify]: Simplified to (* (* -2 (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (cos (/ K 2)) J)) 107.636 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* -2 (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (cos (/ K 2)) J)) 1)) 107.636 * * * * [progress]: [ 23 / 79 ] simplifiying candidate # 107.636 * * * * [progress]: [ 24 / 79 ] simplifiying candidate # 107.636 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (+ (+ (log (cbrt (* (cos (/ K 2)) J))) (log (cbrt (* (cos (/ K 2)) J)))) (log (cbrt (* (cos (/ K 2)) J))))) 107.637 * * [simplify]: iters left: 6 (22 enodes) 107.650 * * [simplify]: iters left: 5 (86 enodes) 107.678 * * [simplify]: iters left: 4 (163 enodes) 107.724 * * [simplify]: iters left: 3 (458 enodes) 107.998 * * [simplify]: Extracting #0: cost 1 inf + 0 107.998 * * [simplify]: Extracting #1: cost 16 inf + 0 107.998 * * [simplify]: Extracting #2: cost 33 inf + 0 107.999 * * [simplify]: Extracting #3: cost 34 inf + 143 107.999 * * [simplify]: Extracting #4: cost 40 inf + 143 108.000 * * [simplify]: Extracting #5: cost 155 inf + 145 108.002 * * [simplify]: Extracting #6: cost 263 inf + 725 108.008 * * [simplify]: Extracting #7: cost 152 inf + 22639 108.025 * * [simplify]: Extracting #8: cost 10 inf + 60366 108.057 * * [simplify]: Extracting #9: cost 0 inf + 63199 108.095 * * [simplify]: Extracting #10: cost 0 inf + 63159 108.116 * [simplify]: Simplified to (+ (+ (log (cbrt (* (cos (/ K 2)) J))) (+ (log -2) (log (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (+ (log (cbrt (* (cos (/ K 2)) J))) (log (cbrt (* (cos (/ K 2)) J))))) 108.116 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (log (cbrt (* (cos (/ K 2)) J))) (+ (log -2) (log (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (+ (log (cbrt (* (cos (/ K 2)) J))) (log (cbrt (* (cos (/ K 2)) J))))))) 108.116 * * * * [progress]: [ 25 / 79 ] simplifiying candidate # 108.117 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (+ (log (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J)))) (log (cbrt (* (cos (/ K 2)) J))))) 108.117 * * [simplify]: iters left: 6 (23 enodes) 108.123 * * [simplify]: iters left: 5 (90 enodes) 108.139 * * [simplify]: iters left: 4 (167 enodes) 108.201 * * [simplify]: iters left: 3 (463 enodes) 108.492 * * [simplify]: Extracting #0: cost 1 inf + 0 108.493 * * [simplify]: Extracting #1: cost 16 inf + 0 108.493 * * [simplify]: Extracting #2: cost 34 inf + 0 108.493 * * [simplify]: Extracting #3: cost 38 inf + 1 108.494 * * [simplify]: Extracting #4: cost 42 inf + 143 108.494 * * [simplify]: Extracting #5: cost 151 inf + 145 108.497 * * [simplify]: Extracting #6: cost 260 inf + 1220 108.506 * * [simplify]: Extracting #7: cost 148 inf + 21547 108.535 * * [simplify]: Extracting #8: cost 21 inf + 55355 108.573 * * [simplify]: Extracting #9: cost 0 inf + 63085 108.610 * * [simplify]: Extracting #10: cost 0 inf + 63084 108.632 * [simplify]: Simplified to (+ (+ (log (cbrt (* (cos (/ K 2)) J))) (+ (log (cbrt (* (cos (/ K 2)) J))) (log (cbrt (* (cos (/ K 2)) J))))) (+ (log -2) (log (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) 108.632 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (log (cbrt (* (cos (/ K 2)) J))) (+ (log (cbrt (* (cos (/ K 2)) J))) (log (cbrt (* (cos (/ K 2)) J))))) (+ (log -2) (log (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))) 108.633 * * * * [progress]: [ 26 / 79 ] simplifiying candidate # 108.633 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (log (* (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J))) (cbrt (* (cos (/ K 2)) J))))) 108.633 * * [simplify]: iters left: 6 (22 enodes) 108.640 * * [simplify]: iters left: 5 (87 enodes) 108.665 * * [simplify]: iters left: 4 (162 enodes) 108.711 * * [simplify]: iters left: 3 (463 enodes) 109.096 * * [simplify]: Extracting #0: cost 1 inf + 0 109.096 * * [simplify]: Extracting #1: cost 16 inf + 0 109.096 * * [simplify]: Extracting #2: cost 39 inf + 0 109.097 * * [simplify]: Extracting #3: cost 44 inf + 73 109.097 * * [simplify]: Extracting #4: cost 49 inf + 216 109.098 * * [simplify]: Extracting #5: cost 195 inf + 218 109.102 * * [simplify]: Extracting #6: cost 359 inf + 5530 109.135 * * [simplify]: Extracting #7: cost 98 inf + 73889 109.174 * * [simplify]: Extracting #8: cost 0 inf + 105907 109.201 * * [simplify]: Extracting #9: cost 0 inf + 105783 109.251 * [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)))))))) 109.252 * [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)))))))))) 109.252 * * * * [progress]: [ 27 / 79 ] simplifiying candidate # 109.252 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (+ (+ (log (cbrt (* (cos (/ K 2)) J))) (log (cbrt (* (cos (/ K 2)) J)))) (log (cbrt (* (cos (/ K 2)) J))))) 109.252 * * [simplify]: iters left: 6 (21 enodes) 109.263 * * [simplify]: iters left: 5 (84 enodes) 109.291 * * [simplify]: iters left: 4 (157 enodes) 109.360 * * [simplify]: iters left: 3 (448 enodes) 109.648 * * [simplify]: Extracting #0: cost 1 inf + 0 109.648 * * [simplify]: Extracting #1: cost 16 inf + 0 109.648 * * [simplify]: Extracting #2: cost 34 inf + 0 109.649 * * [simplify]: Extracting #3: cost 38 inf + 1 109.649 * * [simplify]: Extracting #4: cost 42 inf + 143 109.650 * * [simplify]: Extracting #5: cost 155 inf + 145 109.652 * * [simplify]: Extracting #6: cost 266 inf + 686 109.660 * * [simplify]: Extracting #7: cost 157 inf + 20352 109.690 * * [simplify]: Extracting #8: cost 13 inf + 60344 109.715 * * [simplify]: Extracting #9: cost 0 inf + 64399 109.738 * [simplify]: Simplified to (+ (log (cbrt (* (cos (/ K 2)) J))) (+ (+ (log (cbrt (* (cos (/ K 2)) J))) (log (cbrt (* (cos (/ K 2)) J)))) (log (* -2 (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))))) 109.738 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log (cbrt (* (cos (/ K 2)) J))) (+ (+ (log (cbrt (* (cos (/ K 2)) J))) (log (cbrt (* (cos (/ K 2)) J)))) (log (* -2 (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))))))) 109.738 * * * * [progress]: [ 28 / 79 ] simplifiying candidate # 109.739 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (+ (log (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J)))) (log (cbrt (* (cos (/ K 2)) J))))) 109.739 * * [simplify]: iters left: 6 (22 enodes) 109.750 * * [simplify]: iters left: 5 (88 enodes) 109.781 * * [simplify]: iters left: 4 (161 enodes) 109.821 * * [simplify]: iters left: 3 (454 enodes) 110.094 * * [simplify]: Extracting #0: cost 1 inf + 0 110.094 * * [simplify]: Extracting #1: cost 16 inf + 0 110.094 * * [simplify]: Extracting #2: cost 35 inf + 0 110.094 * * [simplify]: Extracting #3: cost 40 inf + 1 110.095 * * [simplify]: Extracting #4: cost 45 inf + 72 110.095 * * [simplify]: Extracting #5: cost 157 inf + 145 110.097 * * [simplify]: Extracting #6: cost 270 inf + 398 110.105 * * [simplify]: Extracting #7: cost 173 inf + 18617 110.136 * * [simplify]: Extracting #8: cost 7 inf + 61196 110.178 * * [simplify]: Extracting #9: cost 0 inf + 64024 110.203 * [simplify]: Simplified to (+ (+ (log (cbrt (* (cos (/ K 2)) J))) (log (cbrt (* (cos (/ K 2)) J)))) (+ (log (cbrt (* (cos (/ K 2)) J))) (log (* -2 (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))) 110.203 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (log (cbrt (* (cos (/ K 2)) J))) (log (cbrt (* (cos (/ K 2)) J)))) (+ (log (cbrt (* (cos (/ K 2)) J))) (log (* -2 (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))) 110.203 * * * * [progress]: [ 29 / 79 ] simplifiying candidate # 110.204 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (log (* (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J))) (cbrt (* (cos (/ K 2)) J))))) 110.204 * * [simplify]: iters left: 6 (21 enodes) 110.210 * * [simplify]: iters left: 5 (85 enodes) 110.224 * * [simplify]: iters left: 4 (159 enodes) 110.280 * * [simplify]: iters left: 3 (452 enodes) 110.571 * * [simplify]: Extracting #0: cost 1 inf + 0 110.571 * * [simplify]: Extracting #1: cost 16 inf + 0 110.572 * * [simplify]: Extracting #2: cost 40 inf + 0 110.572 * * [simplify]: Extracting #3: cost 47 inf + 2 110.572 * * [simplify]: Extracting #4: cost 51 inf + 216 110.572 * * [simplify]: Extracting #5: cost 198 inf + 218 110.574 * * [simplify]: Extracting #6: cost 369 inf + 3341 110.584 * * [simplify]: Extracting #7: cost 149 inf + 59725 110.620 * * [simplify]: Extracting #8: cost 8 inf + 102069 110.665 * * [simplify]: Extracting #9: cost 0 inf + 105162 110.710 * * [simplify]: Extracting #10: cost 0 inf + 105159 110.752 * [simplify]: Simplified to (+ (log (* (cos (/ K 2)) J)) (log (* -2 (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))))) 110.752 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log (* (cos (/ K 2)) J)) (log (* -2 (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))))))) 110.753 * * * * [progress]: [ 30 / 79 ] simplifiying candidate # 110.753 * * * * [progress]: [ 31 / 79 ] simplifiying candidate # 110.753 * * * * [progress]: [ 32 / 79 ] simplifiying candidate # 110.753 * [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))) 110.754 * * [simplify]: iters left: 6 (22 enodes) 110.768 * * [simplify]: iters left: 5 (100 enodes) 110.809 * * [simplify]: iters left: 4 (294 enodes) 110.985 * * [simplify]: Extracting #0: cost 1 inf + 0 110.989 * * [simplify]: Extracting #1: cost 60 inf + 0 110.989 * * [simplify]: Extracting #2: cost 296 inf + 45 110.991 * * [simplify]: Extracting #3: cost 387 inf + 838 111.003 * * [simplify]: Extracting #4: cost 321 inf + 30714 111.036 * * [simplify]: Extracting #5: cost 92 inf + 107949 111.081 * * [simplify]: Extracting #6: cost 2 inf + 149823 111.152 * * [simplify]: Extracting #7: cost 0 inf + 150712 111.204 * [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)))) 111.204 * [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)))))) 111.205 * * * * [progress]: [ 33 / 79 ] simplifiying candidate # 111.205 * [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)) J)) (cbrt (* (cos (/ K 2)) J))) (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J)))) (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J)))) (* (cos (/ K 2)) J))) 111.206 * * [simplify]: iters left: 6 (25 enodes) 111.221 * * [simplify]: iters left: 5 (112 enodes) 111.267 * * [simplify]: iters left: 4 (317 enodes) 111.446 * * [simplify]: Extracting #0: cost 1 inf + 0 111.446 * * [simplify]: Extracting #1: cost 57 inf + 0 111.447 * * [simplify]: Extracting #2: cost 315 inf + 4 111.449 * * [simplify]: Extracting #3: cost 442 inf + 49 111.451 * * [simplify]: Extracting #4: cost 480 inf + 2508 111.463 * * [simplify]: Extracting #5: cost 297 inf + 52492 111.515 * * [simplify]: Extracting #6: cost 103 inf + 126459 111.564 * * [simplify]: Extracting #7: cost 4 inf + 173105 111.619 * * [simplify]: Extracting #8: cost 0 inf + 175408 111.697 * [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))))) (* (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) -8) (* (cos (/ K 2)) J))) 111.697 * [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))))) (* (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) -8) (* (cos (/ K 2)) J))))) 111.697 * * * * [progress]: [ 34 / 79 ] simplifiying candidate # 111.698 * [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)) J)) (cbrt (* (cos (/ K 2)) J))) (cbrt (* (cos (/ K 2)) J))) (* (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J))) (cbrt (* (cos (/ K 2)) J)))) (* (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J))) (cbrt (* (cos (/ K 2)) J))))) 111.698 * * [simplify]: iters left: 6 (25 enodes) 111.709 * * [simplify]: iters left: 5 (109 enodes) 111.733 * * [simplify]: iters left: 4 (293 enodes) 111.882 * * [simplify]: Extracting #0: cost 1 inf + 0 111.882 * * [simplify]: Extracting #1: cost 52 inf + 0 111.883 * * [simplify]: Extracting #2: cost 250 inf + 3 111.884 * * [simplify]: Extracting #3: cost 347 inf + 7 111.885 * * [simplify]: Extracting #4: cost 407 inf + 93 111.890 * * [simplify]: Extracting #5: cost 311 inf + 23873 111.919 * * [simplify]: Extracting #6: cost 100 inf + 101245 111.990 * * [simplify]: Extracting #7: cost 0 inf + 149068 112.038 * * [simplify]: Extracting #8: cost 0 inf + 148747 112.104 * [simplify]: Simplified to (* (* (* -8 (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))) (* (cos (/ K 2)) J)) (* (+ 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)))))))) 112.104 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* -8 (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))) (* (cos (/ K 2)) J)) (* (+ 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)))))))))) 112.105 * * * * [progress]: [ 35 / 79 ] simplifiying candidate # 112.105 * [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))) 112.105 * * [simplify]: iters left: 6 (20 enodes) 112.117 * * [simplify]: iters left: 5 (100 enodes) 112.158 * * [simplify]: iters left: 4 (276 enodes) 112.333 * * [simplify]: Extracting #0: cost 1 inf + 0 112.333 * * [simplify]: Extracting #1: cost 77 inf + 0 112.334 * * [simplify]: Extracting #2: cost 260 inf + 44 112.336 * * [simplify]: Extracting #3: cost 306 inf + 416 112.342 * * [simplify]: Extracting #4: cost 308 inf + 11333 112.360 * * [simplify]: Extracting #5: cost 175 inf + 46842 112.400 * * [simplify]: Extracting #6: cost 78 inf + 90579 112.473 * * [simplify]: Extracting #7: cost 2 inf + 128322 112.543 * * [simplify]: Extracting #8: cost 0 inf + 129414 112.614 * [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)))))) 112.614 * [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)))))))) 112.615 * * * * [progress]: [ 36 / 79 ] simplifiying candidate # 112.615 * [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)) J)) (cbrt (* (cos (/ K 2)) J))) (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J)))) (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J)))) (* (cos (/ K 2)) J))) 112.615 * * [simplify]: iters left: 6 (23 enodes) 112.629 * * [simplify]: iters left: 5 (112 enodes) 112.656 * * [simplify]: iters left: 4 (306 enodes) 112.870 * * [simplify]: Extracting #0: cost 1 inf + 0 112.870 * * [simplify]: Extracting #1: cost 73 inf + 0 112.872 * * [simplify]: Extracting #2: cost 310 inf + 3 112.875 * * [simplify]: Extracting #3: cost 373 inf + 49 112.886 * * [simplify]: Extracting #4: cost 417 inf + 1891 112.914 * * [simplify]: Extracting #5: cost 188 inf + 77538 112.994 * * [simplify]: Extracting #6: cost 2 inf + 165903 113.058 * * [simplify]: Extracting #7: cost 0 inf + 165632 113.114 * [simplify]: Simplified to (* (* (sqrt (+ 1 (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)))) (* -8 (+ 1 (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J))))) (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))) 113.114 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (sqrt (+ 1 (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)))) (* -8 (+ 1 (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J))))) (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))))) 113.115 * * * * [progress]: [ 37 / 79 ] simplifiying candidate # 113.115 * [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)) J)) (cbrt (* (cos (/ K 2)) J))) (cbrt (* (cos (/ K 2)) J))) (* (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J))) (cbrt (* (cos (/ K 2)) J)))) (* (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J))) (cbrt (* (cos (/ K 2)) J))))) 113.116 * * [simplify]: iters left: 6 (23 enodes) 113.129 * * [simplify]: iters left: 5 (109 enodes) 113.157 * * [simplify]: iters left: 4 (272 enodes) 113.311 * * [simplify]: Extracting #0: cost 1 inf + 0 113.311 * * [simplify]: Extracting #1: cost 63 inf + 0 113.313 * * [simplify]: Extracting #2: cost 220 inf + 2 113.314 * * [simplify]: Extracting #3: cost 272 inf + 7 113.317 * * [simplify]: Extracting #4: cost 332 inf + 94 113.325 * * [simplify]: Extracting #5: cost 261 inf + 17503 113.358 * * [simplify]: Extracting #6: cost 105 inf + 74453 113.421 * * [simplify]: Extracting #7: cost 12 inf + 121760 113.495 * * [simplify]: Extracting #8: cost 0 inf + 129385 113.564 * [simplify]: Simplified to (* (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)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))))) 113.564 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (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)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))))))) 113.565 * * * * [progress]: [ 38 / 79 ] simplifiying candidate # 113.565 * * * * [progress]: [ 39 / 79 ] simplifiying candidate # 113.565 * * * * [progress]: [ 40 / 79 ] simplifiying candidate # 113.565 * * * * [progress]: [ 41 / 79 ] simplifiying candidate # 113.565 * * * * [progress]: [ 42 / 79 ] simplifiying candidate # 113.565 * [simplify]: Simplifying (cbrt (* (cos (/ K 2)) J)) 113.565 * * [simplify]: iters left: 6 (7 enodes) 113.569 * * [simplify]: iters left: 5 (22 enodes) 113.576 * * [simplify]: Extracting #0: cost 1 inf + 0 113.576 * * [simplify]: Extracting #1: cost 3 inf + 0 113.576 * * [simplify]: Extracting #2: cost 6 inf + 0 113.576 * * [simplify]: Extracting #3: cost 7 inf + 1 113.576 * * [simplify]: Extracting #4: cost 10 inf + 1 113.576 * * [simplify]: Extracting #5: cost 8 inf + 3 113.576 * * [simplify]: Extracting #6: cost 1 inf + 800 113.577 * * [simplify]: Extracting #7: cost 0 inf + 1023 113.577 * [simplify]: Simplified to (cbrt (* (cos (/ K 2)) J)) 113.577 * [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)) J)) (cbrt (* (cos (/ K 2)) J)))) (cbrt (* (cos (/ K 2)) J)))) 113.577 * * * * [progress]: [ 43 / 79 ] simplifiying candidate # 113.578 * [simplify]: Simplifying (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 113.578 * * [simplify]: iters left: 6 (13 enodes) 113.585 * * [simplify]: iters left: 5 (52 enodes) 113.603 * * [simplify]: iters left: 4 (105 enodes) 113.651 * * [simplify]: iters left: 3 (359 enodes) 113.882 * * [simplify]: Extracting #0: cost 1 inf + 0 113.883 * * [simplify]: Extracting #1: cost 3 inf + 0 113.883 * * [simplify]: Extracting #2: cost 6 inf + 0 113.883 * * [simplify]: Extracting #3: cost 117 inf + 1 113.884 * * [simplify]: Extracting #4: cost 234 inf + 336 113.886 * * [simplify]: Extracting #5: cost 191 inf + 4484 113.889 * * [simplify]: Extracting #6: cost 119 inf + 19165 113.907 * * [simplify]: Extracting #7: cost 7 inf + 45857 113.921 * * [simplify]: Extracting #8: cost 0 inf + 47305 113.950 * [simplify]: Simplified to (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 113.950 * [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)) J)) (cbrt (* (cos (/ K 2)) J))) (cbrt (* (cos (/ K 2)) J)))))) 113.950 * * * * [progress]: [ 44 / 79 ] simplifiying candidate # 113.950 * [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)) J)) (cbrt (* (cos (/ K 2)) J))) (cbrt (* (cos (/ K 2)) J)))) 113.951 * * [simplify]: iters left: 6 (22 enodes) 113.964 * * [simplify]: iters left: 5 (95 enodes) 114.001 * * [simplify]: iters left: 4 (224 enodes) 114.119 * * [simplify]: Extracting #0: cost 1 inf + 0 114.120 * * [simplify]: Extracting #1: cost 16 inf + 0 114.120 * * [simplify]: Extracting #2: cost 33 inf + 1 114.120 * * [simplify]: Extracting #3: cost 37 inf + 3 114.121 * * [simplify]: Extracting #4: cost 140 inf + 5 114.123 * * [simplify]: Extracting #5: cost 342 inf + 835 114.138 * * [simplify]: Extracting #6: cost 265 inf + 35174 114.158 * * [simplify]: Extracting #7: cost 60 inf + 104455 114.195 * * [simplify]: Extracting #8: cost 0 inf + 124697 114.248 * * [simplify]: Extracting #9: cost 0 inf + 124355 114.302 * [simplify]: Simplified to (* (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))))))) (* -2 (* (cos (/ K 2)) J))) 114.302 * [simplify]: Simplified (2 1) to (λ (J K U) (/ (* (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))))))) (* -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 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) 114.302 * * * * [progress]: [ 45 / 79 ] simplifiying candidate # 114.303 * [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)) J)) (cbrt (* (cos (/ K 2)) J))) (cbrt (* (cos (/ K 2)) J)))) 114.303 * * [simplify]: iters left: 6 (21 enodes) 114.315 * * [simplify]: iters left: 5 (87 enodes) 114.336 * * [simplify]: iters left: 4 (202 enodes) 114.444 * * [simplify]: Extracting #0: cost 1 inf + 0 114.444 * * [simplify]: Extracting #1: cost 16 inf + 0 114.445 * * [simplify]: Extracting #2: cost 33 inf + 1 114.445 * * [simplify]: Extracting #3: cost 40 inf + 3 114.445 * * [simplify]: Extracting #4: cost 138 inf + 6 114.447 * * [simplify]: Extracting #5: cost 328 inf + 1361 114.460 * * [simplify]: Extracting #6: cost 128 inf + 66417 114.484 * * [simplify]: Extracting #7: cost 11 inf + 102830 114.529 * * [simplify]: Extracting #8: cost 0 inf + 107701 114.574 * [simplify]: Simplified to (* (* -2 (sqrt (- (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) J)) 114.575 * [simplify]: Simplified (2 1) to (λ (J K U) (/ (* (* -2 (sqrt (- (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) J)) (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) 114.575 * * * * [progress]: [ 46 / 79 ] simplifiying candidate #real (real->posit16 (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J))) (cbrt (* (cos (/ K 2)) J)))))))> 114.575 * * * * [progress]: [ 47 / 79 ] simplifiying candidate # 114.575 * * * * [progress]: [ 48 / 79 ] simplifiying candidate # 114.575 * * * * [progress]: [ 49 / 79 ] simplifiying candidate # 114.575 * * * * [progress]: [ 50 / 79 ] simplifiying candidate # 114.575 * * * * [progress]: [ 51 / 79 ] simplifiying candidate # 114.576 * * * * [progress]: [ 52 / 79 ] simplifiying candidate # 114.576 * [simplify]: Simplifying (cbrt (cos (/ K 2))) 114.576 * * [simplify]: iters left: 4 (5 enodes) 114.579 * * [simplify]: iters left: 3 (15 enodes) 114.583 * * [simplify]: Extracting #0: cost 1 inf + 0 114.583 * * [simplify]: Extracting #1: cost 3 inf + 0 114.584 * * [simplify]: Extracting #2: cost 5 inf + 0 114.584 * * [simplify]: Extracting #3: cost 8 inf + 0 114.584 * * [simplify]: Extracting #4: cost 6 inf + 2 114.584 * * [simplify]: Extracting #5: cost 0 inf + 654 114.584 * [simplify]: Simplified to (cbrt (cos (/ K 2))) 114.584 * [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)) J)) (cbrt (* (cos (/ K 2)) J))) (* (cbrt (cos (/ K 2))) (cbrt J))))) 114.584 * * * * [progress]: [ 53 / 79 ] simplifiying candidate # 114.584 * * * * [progress]: [ 54 / 79 ] simplifiying candidate # 114.584 * * * * [progress]: [ 55 / 79 ] simplifiying candidate # 114.585 * * * * [progress]: [ 56 / 79 ] simplifiying candidate # 114.585 * * * * [progress]: [ 57 / 79 ] simplifiying candidate #real (real->posit16 (cbrt (* (cos (/ K 2)) J)))))))> 114.585 * * * * [progress]: [ 58 / 79 ] simplifiying candidate # 114.585 * * * * [progress]: [ 59 / 79 ] simplifiying candidate # 114.585 * * * * [progress]: [ 60 / 79 ] simplifiying candidate # 114.585 * * * * [progress]: [ 61 / 79 ] simplifiying candidate # 114.585 * * * * [progress]: [ 62 / 79 ] simplifiying candidate # 114.585 * [simplify]: Simplifying (cbrt (cos (/ K 2))) 114.585 * * [simplify]: iters left: 4 (5 enodes) 114.588 * * [simplify]: iters left: 3 (15 enodes) 114.593 * * [simplify]: Extracting #0: cost 1 inf + 0 114.593 * * [simplify]: Extracting #1: cost 3 inf + 0 114.593 * * [simplify]: Extracting #2: cost 5 inf + 0 114.594 * * [simplify]: Extracting #3: cost 8 inf + 0 114.594 * * [simplify]: Extracting #4: cost 6 inf + 2 114.594 * * [simplify]: Extracting #5: cost 0 inf + 654 114.594 * [simplify]: Simplified to (cbrt (cos (/ K 2))) 114.594 * [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)) J)) (* (cbrt (cos (/ K 2))) (cbrt J))) (cbrt (* (cos (/ K 2)) J))))) 114.594 * * * * [progress]: [ 63 / 79 ] simplifiying candidate # 114.594 * * * * [progress]: [ 64 / 79 ] simplifiying candidate # 114.594 * * * * [progress]: [ 65 / 79 ] simplifiying candidate # 114.594 * * * * [progress]: [ 66 / 79 ] simplifiying candidate # 114.595 * * * * [progress]: [ 67 / 79 ] simplifiying candidate #real (real->posit16 (cbrt (* (cos (/ K 2)) J))))) (cbrt (* (cos (/ K 2)) J)))))> 114.595 * * * * [progress]: [ 68 / 79 ] simplifiying candidate # 114.595 * [simplify]: Simplifying 1 114.595 * * [simplify]: iters left: 0 (1 enodes) 114.596 * * [simplify]: Extracting #0: cost 1 inf + 0 114.596 * * [simplify]: Extracting #1: cost 0 inf + 1 114.596 * [simplify]: Simplified to 1 114.596 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* 1 -2) (* (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J))) (cbrt (* (cos (/ K 2)) J))))) 114.596 * * * * [progress]: [ 69 / 79 ] simplifiying candidate # 114.597 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 114.597 * * [simplify]: iters left: 6 (9 enodes) 114.601 * * [simplify]: iters left: 5 (34 enodes) 114.612 * * [simplify]: iters left: 4 (56 enodes) 114.625 * * [simplify]: iters left: 3 (90 enodes) 114.640 * * [simplify]: iters left: 2 (114 enodes) 114.657 * * [simplify]: iters left: 1 (131 enodes) 114.693 * * [simplify]: Extracting #0: cost 1 inf + 0 114.694 * * [simplify]: Extracting #1: cost 22 inf + 0 114.694 * * [simplify]: Extracting #2: cost 37 inf + 3 114.694 * * [simplify]: Extracting #3: cost 31 inf + 380 114.695 * * [simplify]: Extracting #4: cost 17 inf + 1834 114.697 * * [simplify]: Extracting #5: cost 3 inf + 4117 114.699 * * [simplify]: Extracting #6: cost 0 inf + 4586 114.701 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 114.701 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) -2) (* (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J))) (cbrt (* (cos (/ K 2)) J))))) 114.701 * * * * [progress]: [ 70 / 79 ] simplifiying candidate # 114.701 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 114.702 * * [simplify]: iters left: 6 (9 enodes) 114.706 * * [simplify]: iters left: 5 (34 enodes) 114.717 * * [simplify]: iters left: 4 (56 enodes) 114.734 * * [simplify]: iters left: 3 (90 enodes) 114.764 * * [simplify]: iters left: 2 (114 enodes) 114.787 * * [simplify]: iters left: 1 (131 enodes) 114.805 * * [simplify]: Extracting #0: cost 1 inf + 0 114.805 * * [simplify]: Extracting #1: cost 22 inf + 0 114.805 * * [simplify]: Extracting #2: cost 37 inf + 3 114.805 * * [simplify]: Extracting #3: cost 31 inf + 380 114.806 * * [simplify]: Extracting #4: cost 17 inf + 1834 114.807 * * [simplify]: Extracting #5: cost 3 inf + 4117 114.808 * * [simplify]: Extracting #6: cost 0 inf + 4586 114.810 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 114.810 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) -2) (* (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J))) (cbrt (* (cos (/ K 2)) J))))) 114.811 * * * * [progress]: [ 71 / 79 ] simplifiying candidate # 114.811 * [simplify]: Simplifying (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 114.811 * * [simplify]: iters left: 6 (10 enodes) 114.817 * * [simplify]: iters left: 5 (43 enodes) 114.833 * * [simplify]: iters left: 4 (79 enodes) 114.857 * * [simplify]: iters left: 3 (118 enodes) 114.896 * * [simplify]: iters left: 2 (171 enodes) 114.954 * * [simplify]: iters left: 1 (241 enodes) 115.040 * * [simplify]: Extracting #0: cost 1 inf + 0 115.040 * * [simplify]: Extracting #1: cost 6 inf + 0 115.041 * * [simplify]: Extracting #2: cost 41 inf + 0 115.041 * * [simplify]: Extracting #3: cost 56 inf + 213 115.043 * * [simplify]: Extracting #4: cost 20 inf + 2774 115.046 * * [simplify]: Extracting #5: cost 2 inf + 4494 115.049 * * [simplify]: Extracting #6: cost 0 inf + 4698 115.051 * [simplify]: Simplified to (- (* -2 J) (/ (* U U) (/ J 1/4))) 115.052 * [simplify]: Simplified (2) to (λ (J K U) (- (* -2 J) (/ (* U U) (/ J 1/4)))) 115.052 * * * * [progress]: [ 72 / 79 ] simplifiying candidate # 115.052 * [simplify]: Simplifying (* -1 U) 115.052 * * [simplify]: iters left: 2 (3 enodes) 115.053 * * [simplify]: iters left: 1 (11 enodes) 115.055 * * [simplify]: Extracting #0: cost 1 inf + 0 115.055 * * [simplify]: Extracting #1: cost 4 inf + 0 115.055 * * [simplify]: Extracting #2: cost 0 inf + 84 115.055 * [simplify]: Simplified to (- U) 115.055 * [simplify]: Simplified (2) to (λ (J K U) (- U)) 115.055 * * * * [progress]: [ 73 / 79 ] simplifiying candidate # 115.055 * [simplify]: Simplifying (* -1 U) 115.055 * * [simplify]: iters left: 2 (3 enodes) 115.056 * * [simplify]: iters left: 1 (11 enodes) 115.058 * * [simplify]: Extracting #0: cost 1 inf + 0 115.058 * * [simplify]: Extracting #1: cost 4 inf + 0 115.058 * * [simplify]: Extracting #2: cost 0 inf + 84 115.058 * [simplify]: Simplified to (- U) 115.058 * [simplify]: Simplified (2) to (λ (J K U) (- U)) 115.058 * * * * [progress]: [ 74 / 79 ] simplifiying candidate # 115.058 * [simplify]: Simplifying (- (pow J 1/3) (* 1/24 (* (pow K 2) (pow J 1/3)))) 115.058 * * [simplify]: iters left: 6 (10 enodes) 115.062 * * [simplify]: iters left: 5 (46 enodes) 115.072 * * [simplify]: iters left: 4 (100 enodes) 115.115 * * [simplify]: iters left: 3 (269 enodes) 115.238 * * [simplify]: Extracting #0: cost 1 inf + 0 115.238 * * [simplify]: Extracting #1: cost 15 inf + 0 115.239 * * [simplify]: Extracting #2: cost 112 inf + 0 115.240 * * [simplify]: Extracting #3: cost 168 inf + 2831 115.246 * * [simplify]: Extracting #4: cost 63 inf + 32703 115.257 * * [simplify]: Extracting #5: cost 4 inf + 56317 115.268 * * [simplify]: Extracting #6: cost 0 inf + 57742 115.280 * [simplify]: Simplified to (- (cbrt J) (* 1/24 (* (* K K) (cbrt J)))) 115.280 * [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) (* (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J))) (- (cbrt J) (* 1/24 (* (* K K) (cbrt J))))))) 115.280 * * * * [progress]: [ 75 / 79 ] simplifiying candidate # 115.280 * [simplify]: Simplifying (exp (* 1/3 (- (log (cos (* 1/2 K))) (log (/ 1 J))))) 115.280 * * [simplify]: iters left: 6 (13 enodes) 115.286 * * [simplify]: iters left: 5 (51 enodes) 115.294 * * [simplify]: iters left: 4 (70 enodes) 115.309 * * [simplify]: iters left: 3 (116 enodes) 115.346 * * [simplify]: iters left: 2 (202 enodes) 115.410 * * [simplify]: iters left: 1 (349 enodes) 115.535 * * [simplify]: Extracting #0: cost 1 inf + 0 115.535 * * [simplify]: Extracting #1: cost 58 inf + 0 115.536 * * [simplify]: Extracting #2: cost 135 inf + 74 115.537 * * [simplify]: Extracting #3: cost 180 inf + 152 115.538 * * [simplify]: Extracting #4: cost 180 inf + 1552 115.543 * * [simplify]: Extracting #5: cost 113 inf + 18026 115.553 * * [simplify]: Extracting #6: cost 37 inf + 47616 115.566 * * [simplify]: Extracting #7: cost 2 inf + 74931 115.575 * * [simplify]: Extracting #8: cost 0 inf + 76328 115.585 * * [simplify]: Extracting #9: cost 0 inf + 76197 115.595 * [simplify]: Simplified to (cbrt (* J (cos (* K 1/2)))) 115.595 * [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) (* (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J))) (cbrt (* J (cos (* K 1/2))))))) 115.595 * * * * [progress]: [ 76 / 79 ] simplifiying candidate # 115.595 * [simplify]: Simplifying (* (exp (* 1/3 (- (log (cos (* 1/2 K))) (log (/ -1 J))))) (cbrt -1)) 115.595 * * [simplify]: iters left: 6 (15 enodes) 115.600 * * [simplify]: iters left: 5 (55 enodes) 115.611 * * [simplify]: iters left: 4 (80 enodes) 115.636 * * [simplify]: iters left: 3 (143 enodes) 115.672 * * [simplify]: iters left: 2 (275 enodes) 115.777 * * [simplify]: Extracting #0: cost 1 inf + 0 115.777 * * [simplify]: Extracting #1: cost 27 inf + 0 115.777 * * [simplify]: Extracting #2: cost 99 inf + 0 115.778 * * [simplify]: Extracting #3: cost 160 inf + 78 115.780 * * [simplify]: Extracting #4: cost 156 inf + 4831 115.785 * * [simplify]: Extracting #5: cost 83 inf + 20402 115.796 * * [simplify]: Extracting #6: cost 30 inf + 38306 115.815 * * [simplify]: Extracting #7: cost 6 inf + 55013 115.828 * * [simplify]: Extracting #8: cost 0 inf + 60595 115.836 * * [simplify]: Extracting #9: cost 0 inf + 60436 115.844 * [simplify]: Simplified to (* (cbrt -1) (cbrt (* (cos (* K 1/2)) (* -1 J)))) 115.844 * [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) (* (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J))) (* (cbrt -1) (cbrt (* (cos (* K 1/2)) (* -1 J))))))) 115.845 * * * * [progress]: [ 77 / 79 ] simplifiying candidate # 115.845 * [simplify]: Simplifying (- (pow J 1/3) (* 1/24 (* (pow K 2) (pow J 1/3)))) 115.845 * * [simplify]: iters left: 6 (10 enodes) 115.849 * * [simplify]: iters left: 5 (46 enodes) 115.865 * * [simplify]: iters left: 4 (100 enodes) 115.901 * * [simplify]: iters left: 3 (269 enodes) 116.008 * * [simplify]: Extracting #0: cost 1 inf + 0 116.008 * * [simplify]: Extracting #1: cost 15 inf + 0 116.008 * * [simplify]: Extracting #2: cost 112 inf + 0 116.010 * * [simplify]: Extracting #3: cost 168 inf + 2831 116.017 * * [simplify]: Extracting #4: cost 63 inf + 32703 116.030 * * [simplify]: Extracting #5: cost 4 inf + 56317 116.043 * * [simplify]: Extracting #6: cost 0 inf + 57742 116.057 * [simplify]: Simplified to (- (cbrt J) (* 1/24 (* (* K K) (cbrt J)))) 116.057 * [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)) J)) (- (cbrt J) (* 1/24 (* (* K K) (cbrt J))))) (cbrt (* (cos (/ K 2)) J))))) 116.057 * * * * [progress]: [ 78 / 79 ] simplifiying candidate # 116.057 * [simplify]: Simplifying (exp (* 1/3 (- (log (cos (* 1/2 K))) (log (/ 1 J))))) 116.058 * * [simplify]: iters left: 6 (13 enodes) 116.066 * * [simplify]: iters left: 5 (51 enodes) 116.081 * * [simplify]: iters left: 4 (70 enodes) 116.097 * * [simplify]: iters left: 3 (116 enodes) 116.120 * * [simplify]: iters left: 2 (202 enodes) 116.182 * * [simplify]: iters left: 1 (349 enodes) 116.304 * * [simplify]: Extracting #0: cost 1 inf + 0 116.305 * * [simplify]: Extracting #1: cost 58 inf + 0 116.305 * * [simplify]: Extracting #2: cost 135 inf + 74 116.306 * * [simplify]: Extracting #3: cost 180 inf + 152 116.308 * * [simplify]: Extracting #4: cost 180 inf + 1552 116.312 * * [simplify]: Extracting #5: cost 113 inf + 18026 116.323 * * [simplify]: Extracting #6: cost 37 inf + 47616 116.342 * * [simplify]: Extracting #7: cost 2 inf + 74931 116.365 * * [simplify]: Extracting #8: cost 0 inf + 76328 116.384 * * [simplify]: Extracting #9: cost 0 inf + 76197 116.402 * [simplify]: Simplified to (cbrt (* J (cos (* K 1/2)))) 116.403 * [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)) J)) (cbrt (* J (cos (* K 1/2))))) (cbrt (* (cos (/ K 2)) J))))) 116.403 * * * * [progress]: [ 79 / 79 ] simplifiying candidate # 116.404 * [simplify]: Simplifying (* (exp (* 1/3 (- (log (cos (* 1/2 K))) (log (/ -1 J))))) (cbrt -1)) 116.404 * * [simplify]: iters left: 6 (15 enodes) 116.413 * * [simplify]: iters left: 5 (55 enodes) 116.431 * * [simplify]: iters left: 4 (80 enodes) 116.453 * * [simplify]: iters left: 3 (143 enodes) 116.481 * * [simplify]: iters left: 2 (275 enodes) 116.541 * * [simplify]: Extracting #0: cost 1 inf + 0 116.541 * * [simplify]: Extracting #1: cost 27 inf + 0 116.541 * * [simplify]: Extracting #2: cost 99 inf + 0 116.542 * * [simplify]: Extracting #3: cost 160 inf + 78 116.543 * * [simplify]: Extracting #4: cost 156 inf + 4831 116.546 * * [simplify]: Extracting #5: cost 83 inf + 20402 116.551 * * [simplify]: Extracting #6: cost 30 inf + 38306 116.559 * * [simplify]: Extracting #7: cost 6 inf + 55013 116.578 * * [simplify]: Extracting #8: cost 0 inf + 60595 116.594 * * [simplify]: Extracting #9: cost 0 inf + 60436 116.602 * [simplify]: Simplified to (* (cbrt -1) (cbrt (* (cos (* K 1/2)) (* -1 J)))) 116.602 * [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)) J)) (* (cbrt -1) (cbrt (* (cos (* K 1/2)) (* -1 J))))) (cbrt (* (cos (/ K 2)) J))))) 116.603 * * * [progress]: adding candidates to table 117.674 * * [progress]: iteration 4 / 4 117.674 * * * [progress]: picking best candidate 117.735 * * * * [pick]: Picked # 117.735 * * * [progress]: localizing error 117.804 * * * [progress]: generating rewritten candidates 117.805 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 117.958 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 118.419 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2) 118.421 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 118.429 * * * [progress]: generating series expansions 118.429 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 118.430 * [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)) 118.430 * [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 0 118.430 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 118.430 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 118.430 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 118.430 * [taylor]: Taking taylor expansion of 1/4 in J 118.430 * [backup-simplify]: Simplify 1/4 into 1/4 118.430 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 118.430 * [taylor]: Taking taylor expansion of (pow U 2) in J 118.430 * [taylor]: Taking taylor expansion of U in J 118.430 * [backup-simplify]: Simplify U into U 118.430 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 118.430 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 118.431 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 118.431 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 118.431 * [taylor]: Taking taylor expansion of 1/2 in J 118.431 * [backup-simplify]: Simplify 1/2 into 1/2 118.431 * [taylor]: Taking taylor expansion of K in J 118.431 * [backup-simplify]: Simplify K into K 118.431 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 118.431 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 118.431 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 118.431 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 118.431 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 118.432 * [backup-simplify]: Simplify (- 0) into 0 118.432 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 118.432 * [taylor]: Taking taylor expansion of (pow J 2) in J 118.432 * [taylor]: Taking taylor expansion of J in J 118.432 * [backup-simplify]: Simplify 0 into 0 118.432 * [backup-simplify]: Simplify 1 into 1 118.432 * [backup-simplify]: Simplify (* U U) into (pow U 2) 118.432 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 118.433 * [backup-simplify]: Simplify (* 1 1) into 1 118.433 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 118.433 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 118.433 * [taylor]: Taking taylor expansion of 1 in J 118.433 * [backup-simplify]: Simplify 1 into 1 118.433 * [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))) 118.434 * [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))) 118.434 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 118.434 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 118.435 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 118.435 * [backup-simplify]: Simplify (+ 0) into 0 118.436 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 118.436 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 118.437 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 118.437 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 118.438 * [backup-simplify]: Simplify (- 0) into 0 118.438 * [backup-simplify]: Simplify (+ 0 0) into 0 118.438 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 118.439 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 118.439 * [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 0 118.440 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 118.440 * [backup-simplify]: Simplify (+ 0 0) into 0 118.441 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 118.441 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 118.441 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 118.441 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 118.441 * [taylor]: Taking taylor expansion of 1/4 in K 118.441 * [backup-simplify]: Simplify 1/4 into 1/4 118.441 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 118.441 * [taylor]: Taking taylor expansion of (pow U 2) in K 118.441 * [taylor]: Taking taylor expansion of U in K 118.441 * [backup-simplify]: Simplify U into U 118.441 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 118.441 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 118.441 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 118.441 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 118.441 * [taylor]: Taking taylor expansion of 1/2 in K 118.441 * [backup-simplify]: Simplify 1/2 into 1/2 118.441 * [taylor]: Taking taylor expansion of K in K 118.441 * [backup-simplify]: Simplify 0 into 0 118.441 * [backup-simplify]: Simplify 1 into 1 118.442 * [backup-simplify]: Simplify (* 1/2 0) into 0 118.442 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 118.442 * [taylor]: Taking taylor expansion of (pow J 2) in K 118.442 * [taylor]: Taking taylor expansion of J in K 118.442 * [backup-simplify]: Simplify J into J 118.442 * [backup-simplify]: Simplify (* U U) into (pow U 2) 118.443 * [backup-simplify]: Simplify (* 1 1) into 1 118.443 * [backup-simplify]: Simplify (* J J) into (pow J 2) 118.443 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 118.443 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 118.443 * [taylor]: Taking taylor expansion of 1 in K 118.443 * [backup-simplify]: Simplify 1 into 1 118.443 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 118.444 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 118.444 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 118.444 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 118.444 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 118.444 * [backup-simplify]: Simplify (+ 0) into 0 118.445 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 118.446 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 118.446 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 118.446 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 118.447 * [backup-simplify]: Simplify (+ 0 0) into 0 118.447 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 118.447 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 118.447 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 118.447 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 118.447 * [taylor]: Taking taylor expansion of 1/4 in U 118.447 * [backup-simplify]: Simplify 1/4 into 1/4 118.447 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 118.447 * [taylor]: Taking taylor expansion of (pow U 2) in U 118.447 * [taylor]: Taking taylor expansion of U in U 118.447 * [backup-simplify]: Simplify 0 into 0 118.447 * [backup-simplify]: Simplify 1 into 1 118.447 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 118.447 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 118.448 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 118.448 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 118.448 * [taylor]: Taking taylor expansion of 1/2 in U 118.448 * [backup-simplify]: Simplify 1/2 into 1/2 118.448 * [taylor]: Taking taylor expansion of K in U 118.448 * [backup-simplify]: Simplify K into K 118.448 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 118.448 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 118.448 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 118.448 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 118.448 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 118.448 * [backup-simplify]: Simplify (- 0) into 0 118.449 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 118.449 * [taylor]: Taking taylor expansion of (pow J 2) in U 118.449 * [taylor]: Taking taylor expansion of J in U 118.449 * [backup-simplify]: Simplify J into J 118.449 * [backup-simplify]: Simplify (* 1 1) into 1 118.449 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 118.449 * [backup-simplify]: Simplify (* J J) into (pow J 2) 118.449 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 118.450 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 118.450 * [taylor]: Taking taylor expansion of 1 in U 118.450 * [backup-simplify]: Simplify 1 into 1 118.450 * [backup-simplify]: Simplify (+ 0 1) into 1 118.451 * [backup-simplify]: Simplify (sqrt 1) into 1 118.451 * [backup-simplify]: Simplify (+ 0 0) into 0 118.452 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 118.452 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 118.452 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 118.452 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 118.452 * [taylor]: Taking taylor expansion of 1/4 in U 118.452 * [backup-simplify]: Simplify 1/4 into 1/4 118.452 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 118.452 * [taylor]: Taking taylor expansion of (pow U 2) in U 118.452 * [taylor]: Taking taylor expansion of U in U 118.452 * [backup-simplify]: Simplify 0 into 0 118.452 * [backup-simplify]: Simplify 1 into 1 118.452 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 118.452 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 118.452 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 118.452 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 118.452 * [taylor]: Taking taylor expansion of 1/2 in U 118.452 * [backup-simplify]: Simplify 1/2 into 1/2 118.452 * [taylor]: Taking taylor expansion of K in U 118.452 * [backup-simplify]: Simplify K into K 118.452 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 118.452 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 118.452 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 118.452 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 118.452 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 118.453 * [backup-simplify]: Simplify (- 0) into 0 118.453 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 118.453 * [taylor]: Taking taylor expansion of (pow J 2) in U 118.453 * [taylor]: Taking taylor expansion of J in U 118.453 * [backup-simplify]: Simplify J into J 118.453 * [backup-simplify]: Simplify (* 1 1) into 1 118.454 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 118.454 * [backup-simplify]: Simplify (* J J) into (pow J 2) 118.454 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 118.454 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 118.454 * [taylor]: Taking taylor expansion of 1 in U 118.454 * [backup-simplify]: Simplify 1 into 1 118.455 * [backup-simplify]: Simplify (+ 0 1) into 1 118.455 * [backup-simplify]: Simplify (sqrt 1) into 1 118.456 * [backup-simplify]: Simplify (+ 0 0) into 0 118.456 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 118.457 * [taylor]: Taking taylor expansion of 1 in K 118.457 * [backup-simplify]: Simplify 1 into 1 118.457 * [taylor]: Taking taylor expansion of 1 in J 118.457 * [backup-simplify]: Simplify 1 into 1 118.457 * [taylor]: Taking taylor expansion of 0 in K 118.457 * [backup-simplify]: Simplify 0 into 0 118.457 * [taylor]: Taking taylor expansion of 0 in J 118.457 * [backup-simplify]: Simplify 0 into 0 118.457 * [taylor]: Taking taylor expansion of 0 in J 118.457 * [backup-simplify]: Simplify 0 into 0 118.457 * [backup-simplify]: Simplify 1 into 1 118.457 * [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))) 118.457 * [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)))) 118.459 * [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))) 118.459 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 118.459 * [taylor]: Taking taylor expansion of 1/8 in K 118.459 * [backup-simplify]: Simplify 1/8 into 1/8 118.459 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 118.459 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 118.459 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 118.459 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 118.459 * [taylor]: Taking taylor expansion of 1/2 in K 118.459 * [backup-simplify]: Simplify 1/2 into 1/2 118.459 * [taylor]: Taking taylor expansion of K in K 118.459 * [backup-simplify]: Simplify 0 into 0 118.459 * [backup-simplify]: Simplify 1 into 1 118.460 * [backup-simplify]: Simplify (* 1/2 0) into 0 118.461 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 118.461 * [taylor]: Taking taylor expansion of (pow J 2) in K 118.461 * [taylor]: Taking taylor expansion of J in K 118.461 * [backup-simplify]: Simplify J into J 118.461 * [backup-simplify]: Simplify (* 1 1) into 1 118.461 * [backup-simplify]: Simplify (* J J) into (pow J 2) 118.461 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 118.461 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2)) 118.461 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J 118.461 * [taylor]: Taking taylor expansion of 1/8 in J 118.461 * [backup-simplify]: Simplify 1/8 into 1/8 118.461 * [taylor]: Taking taylor expansion of (pow J 2) in J 118.461 * [taylor]: Taking taylor expansion of J in J 118.462 * [backup-simplify]: Simplify 0 into 0 118.462 * [backup-simplify]: Simplify 1 into 1 118.462 * [backup-simplify]: Simplify (* 1 1) into 1 118.462 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 118.463 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 118.464 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 118.464 * [backup-simplify]: Simplify 0 into 0 118.464 * [taylor]: Taking taylor expansion of 0 in J 118.464 * [backup-simplify]: Simplify 0 into 0 118.464 * [taylor]: Taking taylor expansion of 0 in J 118.464 * [backup-simplify]: Simplify 0 into 0 118.464 * [backup-simplify]: Simplify 0 into 0 118.464 * [backup-simplify]: Simplify 0 into 0 118.464 * [backup-simplify]: Simplify 0 into 0 118.465 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 118.465 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 118.465 * [backup-simplify]: Simplify (+ 0) into 0 118.466 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 118.466 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 118.467 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 118.468 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 118.468 * [backup-simplify]: Simplify (- 0) into 0 118.468 * [backup-simplify]: Simplify (+ 0 0) into 0 118.469 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 118.469 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 118.469 * [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 0 118.470 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 118.470 * [backup-simplify]: Simplify (+ 0 0) into 0 118.471 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 118.471 * [taylor]: Taking taylor expansion of 0 in K 118.471 * [backup-simplify]: Simplify 0 into 0 118.471 * [taylor]: Taking taylor expansion of 0 in J 118.471 * [backup-simplify]: Simplify 0 into 0 118.471 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 118.472 * [backup-simplify]: Simplify (+ 0) into 0 118.472 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 118.473 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 118.473 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0 118.473 * [taylor]: Taking taylor expansion of 0 in J 118.473 * [backup-simplify]: Simplify 0 into 0 118.473 * [taylor]: Taking taylor expansion of 0 in J 118.473 * [backup-simplify]: Simplify 0 into 0 118.473 * [taylor]: Taking taylor expansion of 0 in J 118.473 * [backup-simplify]: Simplify 0 into 0 118.474 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 118.475 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 118.475 * [backup-simplify]: Simplify 0 into 0 118.475 * [backup-simplify]: Simplify 0 into 0 118.476 * [backup-simplify]: Simplify 1 into 1 118.476 * [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)) 118.476 * [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 0 118.476 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 118.476 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 118.476 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 118.476 * [taylor]: Taking taylor expansion of 1/4 in J 118.476 * [backup-simplify]: Simplify 1/4 into 1/4 118.476 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 118.476 * [taylor]: Taking taylor expansion of (pow J 2) in J 118.476 * [taylor]: Taking taylor expansion of J in J 118.476 * [backup-simplify]: Simplify 0 into 0 118.476 * [backup-simplify]: Simplify 1 into 1 118.476 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 118.477 * [taylor]: Taking taylor expansion of (pow U 2) in J 118.477 * [taylor]: Taking taylor expansion of U in J 118.477 * [backup-simplify]: Simplify U into U 118.477 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 118.477 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 118.477 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 118.477 * [taylor]: Taking taylor expansion of 1/2 in J 118.477 * [backup-simplify]: Simplify 1/2 into 1/2 118.477 * [taylor]: Taking taylor expansion of K in J 118.477 * [backup-simplify]: Simplify K into K 118.477 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 118.477 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 118.477 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 118.477 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 118.477 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 118.477 * [backup-simplify]: Simplify (- 0) into 0 118.478 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 118.478 * [backup-simplify]: Simplify (* 1 1) into 1 118.478 * [backup-simplify]: Simplify (* U U) into (pow U 2) 118.478 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 118.478 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 118.479 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 118.479 * [taylor]: Taking taylor expansion of 1 in J 118.479 * [backup-simplify]: Simplify 1 into 1 118.479 * [backup-simplify]: Simplify (+ 0 1) into 1 118.479 * [backup-simplify]: Simplify (sqrt 1) into 1 118.480 * [backup-simplify]: Simplify (+ 0 0) into 0 118.481 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 118.481 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 118.481 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 118.481 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 118.481 * [taylor]: Taking taylor expansion of 1/4 in K 118.481 * [backup-simplify]: Simplify 1/4 into 1/4 118.481 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 118.481 * [taylor]: Taking taylor expansion of (pow J 2) in K 118.481 * [taylor]: Taking taylor expansion of J in K 118.481 * [backup-simplify]: Simplify J into J 118.481 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 118.481 * [taylor]: Taking taylor expansion of (pow U 2) in K 118.481 * [taylor]: Taking taylor expansion of U in K 118.481 * [backup-simplify]: Simplify U into U 118.481 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 118.481 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 118.481 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 118.481 * [taylor]: Taking taylor expansion of 1/2 in K 118.481 * [backup-simplify]: Simplify 1/2 into 1/2 118.481 * [taylor]: Taking taylor expansion of K in K 118.481 * [backup-simplify]: Simplify 0 into 0 118.481 * [backup-simplify]: Simplify 1 into 1 118.482 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 118.482 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 118.482 * [backup-simplify]: Simplify (* J J) into (pow J 2) 118.482 * [backup-simplify]: Simplify (* U U) into (pow U 2) 118.482 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 118.482 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 118.482 * [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))) 118.482 * [taylor]: Taking taylor expansion of 1 in K 118.482 * [backup-simplify]: Simplify 1 into 1 118.483 * [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)))) 118.483 * [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) 118.483 * [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)) 118.484 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 118.484 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 118.484 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 118.484 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 118.485 * [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 0 118.485 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 118.486 * [backup-simplify]: Simplify (+ 0 0) into 0 118.486 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 118.486 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 118.486 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 118.486 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 118.487 * [taylor]: Taking taylor expansion of 1/4 in U 118.487 * [backup-simplify]: Simplify 1/4 into 1/4 118.487 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 118.487 * [taylor]: Taking taylor expansion of (pow J 2) in U 118.487 * [taylor]: Taking taylor expansion of J in U 118.487 * [backup-simplify]: Simplify J into J 118.487 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 118.487 * [taylor]: Taking taylor expansion of (pow U 2) in U 118.487 * [taylor]: Taking taylor expansion of U in U 118.487 * [backup-simplify]: Simplify 0 into 0 118.487 * [backup-simplify]: Simplify 1 into 1 118.487 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 118.487 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 118.487 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 118.487 * [taylor]: Taking taylor expansion of 1/2 in U 118.487 * [backup-simplify]: Simplify 1/2 into 1/2 118.487 * [taylor]: Taking taylor expansion of K in U 118.487 * [backup-simplify]: Simplify K into K 118.487 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 118.487 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 118.487 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 118.487 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 118.487 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 118.488 * [backup-simplify]: Simplify (- 0) into 0 118.488 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 118.488 * [backup-simplify]: Simplify (* J J) into (pow J 2) 118.488 * [backup-simplify]: Simplify (* 1 1) into 1 118.488 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 118.489 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 118.489 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 118.489 * [taylor]: Taking taylor expansion of 1 in U 118.489 * [backup-simplify]: Simplify 1 into 1 118.489 * [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))) 118.489 * [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))) 118.490 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 118.490 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 118.490 * [backup-simplify]: Simplify (+ 0) into 0 118.491 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 118.491 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 118.492 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 118.492 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 118.492 * [backup-simplify]: Simplify (- 0) into 0 118.492 * [backup-simplify]: Simplify (+ 0 0) into 0 118.492 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 118.493 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 118.493 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 118.493 * [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 0 118.494 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 118.494 * [backup-simplify]: Simplify (+ 0 0) into 0 118.494 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 118.494 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 118.494 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 118.494 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 118.494 * [taylor]: Taking taylor expansion of 1/4 in U 118.494 * [backup-simplify]: Simplify 1/4 into 1/4 118.494 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 118.494 * [taylor]: Taking taylor expansion of (pow J 2) in U 118.494 * [taylor]: Taking taylor expansion of J in U 118.494 * [backup-simplify]: Simplify J into J 118.494 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 118.494 * [taylor]: Taking taylor expansion of (pow U 2) in U 118.495 * [taylor]: Taking taylor expansion of U in U 118.495 * [backup-simplify]: Simplify 0 into 0 118.495 * [backup-simplify]: Simplify 1 into 1 118.495 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 118.495 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 118.495 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 118.495 * [taylor]: Taking taylor expansion of 1/2 in U 118.495 * [backup-simplify]: Simplify 1/2 into 1/2 118.495 * [taylor]: Taking taylor expansion of K in U 118.495 * [backup-simplify]: Simplify K into K 118.495 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 118.495 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 118.495 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 118.495 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 118.495 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 118.495 * [backup-simplify]: Simplify (- 0) into 0 118.495 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 118.495 * [backup-simplify]: Simplify (* J J) into (pow J 2) 118.495 * [backup-simplify]: Simplify (* 1 1) into 1 118.496 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 118.496 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 118.496 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 118.496 * [taylor]: Taking taylor expansion of 1 in U 118.496 * [backup-simplify]: Simplify 1 into 1 118.496 * [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))) 118.496 * [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))) 118.496 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 118.496 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 118.497 * [backup-simplify]: Simplify (+ 0) into 0 118.497 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 118.497 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 118.497 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 118.498 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 118.498 * [backup-simplify]: Simplify (- 0) into 0 118.498 * [backup-simplify]: Simplify (+ 0 0) into 0 118.498 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 118.499 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 118.499 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 118.499 * [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 0 118.500 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 118.500 * [backup-simplify]: Simplify (+ 0 0) into 0 118.500 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 118.500 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K 118.500 * [taylor]: Taking taylor expansion of 1/2 in K 118.500 * [backup-simplify]: Simplify 1/2 into 1/2 118.500 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K 118.500 * [taylor]: Taking taylor expansion of J in K 118.500 * [backup-simplify]: Simplify J into J 118.500 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 118.500 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 118.500 * [taylor]: Taking taylor expansion of 1/2 in K 118.500 * [backup-simplify]: Simplify 1/2 into 1/2 118.500 * [taylor]: Taking taylor expansion of K in K 118.500 * [backup-simplify]: Simplify 0 into 0 118.500 * [backup-simplify]: Simplify 1 into 1 118.501 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 118.501 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 118.501 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 118.501 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 118.501 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 118.501 * [taylor]: Taking taylor expansion of 1/2 in J 118.501 * [backup-simplify]: Simplify 1/2 into 1/2 118.501 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 118.501 * [taylor]: Taking taylor expansion of J in J 118.501 * [backup-simplify]: Simplify 0 into 0 118.501 * [backup-simplify]: Simplify 1 into 1 118.501 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 118.501 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 118.501 * [taylor]: Taking taylor expansion of 1/2 in J 118.501 * [backup-simplify]: Simplify 1/2 into 1/2 118.501 * [taylor]: Taking taylor expansion of K in J 118.501 * [backup-simplify]: Simplify K into K 118.501 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 118.501 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 118.501 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 118.501 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 118.501 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 118.501 * [backup-simplify]: Simplify (- 0) into 0 118.502 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 118.502 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 118.502 * [taylor]: Taking taylor expansion of 0 in K 118.502 * [backup-simplify]: Simplify 0 into 0 118.502 * [taylor]: Taking taylor expansion of 0 in J 118.502 * [backup-simplify]: Simplify 0 into 0 118.502 * [backup-simplify]: Simplify 0 into 0 118.502 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 118.502 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 118.502 * [taylor]: Taking taylor expansion of 0 in J 118.502 * [backup-simplify]: Simplify 0 into 0 118.502 * [backup-simplify]: Simplify 0 into 0 118.502 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 118.502 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 118.503 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 118.503 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 118.504 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 118.504 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 118.504 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 118.505 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 118.505 * [backup-simplify]: Simplify (- 0) into 0 118.505 * [backup-simplify]: Simplify (+ 0 0) into 0 118.505 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 118.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 118.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 118.507 * [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 0 118.507 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 118.508 * [backup-simplify]: Simplify (+ 0 1) into 1 118.508 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 118.508 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 118.508 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 118.508 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 118.508 * [taylor]: Taking taylor expansion of 1/2 in K 118.508 * [backup-simplify]: Simplify 1/2 into 1/2 118.508 * [taylor]: Taking taylor expansion of K in K 118.508 * [backup-simplify]: Simplify 0 into 0 118.508 * [backup-simplify]: Simplify 1 into 1 118.509 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 118.509 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 118.509 * [taylor]: Taking taylor expansion of J in K 118.509 * [backup-simplify]: Simplify J into J 118.509 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 118.509 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 118.509 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 118.509 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 118.509 * [taylor]: Taking taylor expansion of 1/2 in J 118.509 * [backup-simplify]: Simplify 1/2 into 1/2 118.509 * [taylor]: Taking taylor expansion of K in J 118.509 * [backup-simplify]: Simplify K into K 118.509 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 118.509 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 118.509 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 118.509 * [taylor]: Taking taylor expansion of J in J 118.509 * [backup-simplify]: Simplify 0 into 0 118.509 * [backup-simplify]: Simplify 1 into 1 118.509 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 118.509 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 118.510 * [backup-simplify]: Simplify (- 0) into 0 118.510 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 118.510 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 118.510 * [backup-simplify]: Simplify (+ 0) into 0 118.510 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 118.510 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 118.511 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 118.511 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 118.511 * [backup-simplify]: Simplify (- 0) into 0 118.512 * [backup-simplify]: Simplify (+ 0 0) into 0 118.512 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 118.512 * [backup-simplify]: Simplify 0 into 0 118.512 * [taylor]: Taking taylor expansion of 0 in J 118.512 * [backup-simplify]: Simplify 0 into 0 118.512 * [backup-simplify]: Simplify 0 into 0 118.512 * [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 0 118.513 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 118.513 * [taylor]: Taking taylor expansion of 0 in J 118.513 * [backup-simplify]: Simplify 0 into 0 118.513 * [backup-simplify]: Simplify 0 into 0 118.513 * [backup-simplify]: Simplify 0 into 0 118.513 * [backup-simplify]: Simplify 0 into 0 118.513 * [backup-simplify]: Simplify (+ 0) into 0 118.514 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 118.514 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 118.514 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 118.515 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 118.515 * [backup-simplify]: Simplify (- 0) into 0 118.515 * [backup-simplify]: Simplify (+ 0 0) into 0 118.515 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 118.515 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 118.516 * [backup-simplify]: Simplify 0 into 0 118.516 * [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))) 118.516 * [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 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 118.516 * [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 0 118.516 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 118.516 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 118.516 * [taylor]: Taking taylor expansion of 1 in J 118.516 * [backup-simplify]: Simplify 1 into 1 118.516 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 118.516 * [taylor]: Taking taylor expansion of 1/4 in J 118.516 * [backup-simplify]: Simplify 1/4 into 1/4 118.516 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 118.516 * [taylor]: Taking taylor expansion of (pow J 2) in J 118.516 * [taylor]: Taking taylor expansion of J in J 118.516 * [backup-simplify]: Simplify 0 into 0 118.516 * [backup-simplify]: Simplify 1 into 1 118.516 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 118.516 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 118.516 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 118.516 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 118.516 * [taylor]: Taking taylor expansion of -1/2 in J 118.516 * [backup-simplify]: Simplify -1/2 into -1/2 118.516 * [taylor]: Taking taylor expansion of K in J 118.516 * [backup-simplify]: Simplify K into K 118.516 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 118.516 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 118.517 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 118.517 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 118.517 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 118.517 * [backup-simplify]: Simplify (- 0) into 0 118.517 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 118.517 * [taylor]: Taking taylor expansion of (pow U 2) in J 118.517 * [taylor]: Taking taylor expansion of U in J 118.517 * [backup-simplify]: Simplify U into U 118.517 * [backup-simplify]: Simplify (* 1 1) into 1 118.517 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 118.517 * [backup-simplify]: Simplify (* U U) into (pow U 2) 118.517 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 118.518 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 118.518 * [backup-simplify]: Simplify (+ 1 0) into 1 118.518 * [backup-simplify]: Simplify (sqrt 1) into 1 118.518 * [backup-simplify]: Simplify (+ 0 0) into 0 118.519 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 118.519 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 118.519 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 118.519 * [taylor]: Taking taylor expansion of 1 in K 118.519 * [backup-simplify]: Simplify 1 into 1 118.519 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 118.519 * [taylor]: Taking taylor expansion of 1/4 in K 118.519 * [backup-simplify]: Simplify 1/4 into 1/4 118.519 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 118.519 * [taylor]: Taking taylor expansion of (pow J 2) in K 118.519 * [taylor]: Taking taylor expansion of J in K 118.519 * [backup-simplify]: Simplify J into J 118.519 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 118.519 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 118.519 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 118.519 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 118.519 * [taylor]: Taking taylor expansion of -1/2 in K 118.519 * [backup-simplify]: Simplify -1/2 into -1/2 118.519 * [taylor]: Taking taylor expansion of K in K 118.519 * [backup-simplify]: Simplify 0 into 0 118.519 * [backup-simplify]: Simplify 1 into 1 118.519 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 118.519 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 118.520 * [taylor]: Taking taylor expansion of (pow U 2) in K 118.520 * [taylor]: Taking taylor expansion of U in K 118.520 * [backup-simplify]: Simplify U into U 118.520 * [backup-simplify]: Simplify (* J J) into (pow J 2) 118.520 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 118.520 * [backup-simplify]: Simplify (* U U) into (pow U 2) 118.520 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 118.520 * [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))) 118.521 * [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)))) 118.521 * [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))))) 118.522 * [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)))))) 118.522 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 118.522 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 118.522 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 118.522 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 118.523 * [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 0 118.523 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 118.524 * [backup-simplify]: Simplify (+ 0 0) into 0 118.524 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 118.524 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 118.524 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 118.524 * [taylor]: Taking taylor expansion of 1 in U 118.524 * [backup-simplify]: Simplify 1 into 1 118.524 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 118.524 * [taylor]: Taking taylor expansion of 1/4 in U 118.525 * [backup-simplify]: Simplify 1/4 into 1/4 118.525 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 118.525 * [taylor]: Taking taylor expansion of (pow J 2) in U 118.525 * [taylor]: Taking taylor expansion of J in U 118.525 * [backup-simplify]: Simplify J into J 118.525 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 118.525 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 118.525 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 118.525 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 118.525 * [taylor]: Taking taylor expansion of -1/2 in U 118.525 * [backup-simplify]: Simplify -1/2 into -1/2 118.525 * [taylor]: Taking taylor expansion of K in U 118.525 * [backup-simplify]: Simplify K into K 118.525 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 118.525 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 118.525 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 118.525 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 118.525 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 118.526 * [backup-simplify]: Simplify (- 0) into 0 118.526 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 118.526 * [taylor]: Taking taylor expansion of (pow U 2) in U 118.526 * [taylor]: Taking taylor expansion of U in U 118.526 * [backup-simplify]: Simplify 0 into 0 118.526 * [backup-simplify]: Simplify 1 into 1 118.526 * [backup-simplify]: Simplify (* J J) into (pow J 2) 118.526 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 118.526 * [backup-simplify]: Simplify (* 1 1) into 1 118.527 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 118.527 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 118.527 * [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))) 118.527 * [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))) 118.528 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 118.528 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 118.528 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 118.529 * [backup-simplify]: Simplify (+ 0) into 0 118.529 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 118.529 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 118.530 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 118.531 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 118.531 * [backup-simplify]: Simplify (- 0) into 0 118.531 * [backup-simplify]: Simplify (+ 0 0) into 0 118.532 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 118.532 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 118.533 * [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 0 118.533 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 118.534 * [backup-simplify]: Simplify (+ 0 0) into 0 118.534 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 118.534 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 118.534 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 118.534 * [taylor]: Taking taylor expansion of 1 in U 118.534 * [backup-simplify]: Simplify 1 into 1 118.534 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 118.534 * [taylor]: Taking taylor expansion of 1/4 in U 118.534 * [backup-simplify]: Simplify 1/4 into 1/4 118.534 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 118.534 * [taylor]: Taking taylor expansion of (pow J 2) in U 118.534 * [taylor]: Taking taylor expansion of J in U 118.534 * [backup-simplify]: Simplify J into J 118.534 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 118.534 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 118.534 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 118.534 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 118.534 * [taylor]: Taking taylor expansion of -1/2 in U 118.534 * [backup-simplify]: Simplify -1/2 into -1/2 118.534 * [taylor]: Taking taylor expansion of K in U 118.534 * [backup-simplify]: Simplify K into K 118.535 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 118.535 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 118.535 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 118.535 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 118.535 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 118.535 * [backup-simplify]: Simplify (- 0) into 0 118.535 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 118.535 * [taylor]: Taking taylor expansion of (pow U 2) in U 118.535 * [taylor]: Taking taylor expansion of U in U 118.535 * [backup-simplify]: Simplify 0 into 0 118.535 * [backup-simplify]: Simplify 1 into 1 118.535 * [backup-simplify]: Simplify (* J J) into (pow J 2) 118.536 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 118.536 * [backup-simplify]: Simplify (* 1 1) into 1 118.536 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 118.536 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 118.537 * [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))) 118.537 * [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))) 118.537 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 118.537 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 118.538 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 118.538 * [backup-simplify]: Simplify (+ 0) into 0 118.539 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 118.539 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 118.540 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 118.540 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 118.541 * [backup-simplify]: Simplify (- 0) into 0 118.541 * [backup-simplify]: Simplify (+ 0 0) into 0 118.541 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 118.542 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 118.542 * [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 0 118.543 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 118.543 * [backup-simplify]: Simplify (+ 0 0) into 0 118.543 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 118.544 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K 118.544 * [taylor]: Taking taylor expansion of 1/2 in K 118.544 * [backup-simplify]: Simplify 1/2 into 1/2 118.544 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K 118.544 * [taylor]: Taking taylor expansion of J in K 118.544 * [backup-simplify]: Simplify J into J 118.544 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 118.544 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 118.544 * [taylor]: Taking taylor expansion of -1/2 in K 118.544 * [backup-simplify]: Simplify -1/2 into -1/2 118.544 * [taylor]: Taking taylor expansion of K in K 118.544 * [backup-simplify]: Simplify 0 into 0 118.544 * [backup-simplify]: Simplify 1 into 1 118.544 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 118.544 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 118.545 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 118.545 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 118.545 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 118.545 * [taylor]: Taking taylor expansion of 1/2 in J 118.545 * [backup-simplify]: Simplify 1/2 into 1/2 118.545 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 118.545 * [taylor]: Taking taylor expansion of J in J 118.545 * [backup-simplify]: Simplify 0 into 0 118.545 * [backup-simplify]: Simplify 1 into 1 118.545 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 118.545 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 118.545 * [taylor]: Taking taylor expansion of -1/2 in J 118.545 * [backup-simplify]: Simplify -1/2 into -1/2 118.545 * [taylor]: Taking taylor expansion of K in J 118.545 * [backup-simplify]: Simplify K into K 118.545 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 118.545 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 118.545 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 118.545 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 118.545 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 118.546 * [backup-simplify]: Simplify (- 0) into 0 118.546 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 118.546 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 118.546 * [taylor]: Taking taylor expansion of 0 in K 118.546 * [backup-simplify]: Simplify 0 into 0 118.546 * [taylor]: Taking taylor expansion of 0 in J 118.546 * [backup-simplify]: Simplify 0 into 0 118.546 * [backup-simplify]: Simplify 0 into 0 118.546 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 118.547 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 118.547 * [taylor]: Taking taylor expansion of 0 in J 118.547 * [backup-simplify]: Simplify 0 into 0 118.547 * [backup-simplify]: Simplify 0 into 0 118.547 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 118.547 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 118.548 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 118.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 118.550 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 118.550 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 118.551 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 118.551 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 118.552 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 118.557 * [backup-simplify]: Simplify (- 0) into 0 118.558 * [backup-simplify]: Simplify (+ 0 0) into 0 118.559 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 118.560 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 118.560 * [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 0 118.561 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 118.562 * [backup-simplify]: Simplify (+ 1 0) into 1 118.563 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 118.563 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 118.563 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 118.563 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 118.563 * [taylor]: Taking taylor expansion of -1/2 in K 118.563 * [backup-simplify]: Simplify -1/2 into -1/2 118.563 * [taylor]: Taking taylor expansion of K in K 118.563 * [backup-simplify]: Simplify 0 into 0 118.563 * [backup-simplify]: Simplify 1 into 1 118.563 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 118.564 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 118.564 * [taylor]: Taking taylor expansion of J in K 118.564 * [backup-simplify]: Simplify J into J 118.564 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 118.564 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 118.564 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 118.564 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 118.564 * [taylor]: Taking taylor expansion of -1/2 in J 118.564 * [backup-simplify]: Simplify -1/2 into -1/2 118.564 * [taylor]: Taking taylor expansion of K in J 118.564 * [backup-simplify]: Simplify K into K 118.564 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 118.564 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 118.564 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 118.564 * [taylor]: Taking taylor expansion of J in J 118.564 * [backup-simplify]: Simplify 0 into 0 118.564 * [backup-simplify]: Simplify 1 into 1 118.564 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 118.564 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 118.565 * [backup-simplify]: Simplify (- 0) into 0 118.565 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 118.565 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 118.566 * [backup-simplify]: Simplify (+ 0) into 0 118.566 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 118.566 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 118.567 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 118.568 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 118.568 * [backup-simplify]: Simplify (- 0) into 0 118.568 * [backup-simplify]: Simplify (+ 0 0) into 0 118.569 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 118.569 * [backup-simplify]: Simplify 0 into 0 118.569 * [taylor]: Taking taylor expansion of 0 in J 118.570 * [backup-simplify]: Simplify 0 into 0 118.570 * [backup-simplify]: Simplify 0 into 0 118.570 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 118.571 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 118.571 * [taylor]: Taking taylor expansion of 0 in J 118.571 * [backup-simplify]: Simplify 0 into 0 118.571 * [backup-simplify]: Simplify 0 into 0 118.571 * [backup-simplify]: Simplify 0 into 0 118.571 * [backup-simplify]: Simplify 0 into 0 118.572 * [backup-simplify]: Simplify (+ 0) into 0 118.572 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 118.573 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 118.573 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 118.574 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 118.574 * [backup-simplify]: Simplify (- 0) into 0 118.575 * [backup-simplify]: Simplify (+ 0 0) into 0 118.575 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 118.575 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 118.575 * [backup-simplify]: Simplify 0 into 0 118.576 * [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))) 118.576 * * * * [progress]: [ 2 / 4 ] generating series at (2) 118.577 * [backup-simplify]: Simplify (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J))) (* (cbrt (cos (/ K 2))) (cbrt J)))) into (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) 118.577 * [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 0 118.577 * [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 118.577 * [taylor]: Taking taylor expansion of -2 in J 118.577 * [backup-simplify]: Simplify -2 into -2 118.577 * [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 118.577 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 118.577 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 118.577 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 118.577 * [taylor]: Taking taylor expansion of 1/2 in J 118.577 * [backup-simplify]: Simplify 1/2 into 1/2 118.577 * [taylor]: Taking taylor expansion of K in J 118.577 * [backup-simplify]: Simplify K into K 118.577 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 118.577 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 118.577 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 118.577 * [taylor]: Taking taylor expansion of J in J 118.577 * [backup-simplify]: Simplify 0 into 0 118.577 * [backup-simplify]: Simplify 1 into 1 118.577 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 118.577 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 118.577 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 118.577 * [taylor]: Taking taylor expansion of 1/4 in J 118.577 * [backup-simplify]: Simplify 1/4 into 1/4 118.578 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 118.578 * [taylor]: Taking taylor expansion of (pow U 2) in J 118.578 * [taylor]: Taking taylor expansion of U in J 118.578 * [backup-simplify]: Simplify U into U 118.578 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 118.578 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 118.578 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 118.578 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 118.578 * [taylor]: Taking taylor expansion of 1/2 in J 118.578 * [backup-simplify]: Simplify 1/2 into 1/2 118.578 * [taylor]: Taking taylor expansion of K in J 118.578 * [backup-simplify]: Simplify K into K 118.578 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 118.578 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 118.578 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 118.578 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 118.578 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 118.579 * [backup-simplify]: Simplify (- 0) into 0 118.579 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 118.579 * [taylor]: Taking taylor expansion of (pow J 2) in J 118.579 * [taylor]: Taking taylor expansion of J in J 118.579 * [backup-simplify]: Simplify 0 into 0 118.579 * [backup-simplify]: Simplify 1 into 1 118.579 * [backup-simplify]: Simplify (* U U) into (pow U 2) 118.580 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 118.580 * [backup-simplify]: Simplify (* 1 1) into 1 118.580 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 118.581 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 118.581 * [taylor]: Taking taylor expansion of 1 in J 118.581 * [backup-simplify]: Simplify 1 into 1 118.581 * [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))) 118.581 * [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))) 118.581 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 118.582 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 118.582 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 118.583 * [backup-simplify]: Simplify (+ 0) into 0 118.583 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 118.584 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 118.585 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 118.585 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 118.586 * [backup-simplify]: Simplify (- 0) into 0 118.586 * [backup-simplify]: Simplify (+ 0 0) into 0 118.587 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 118.587 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 118.588 * [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 0 118.588 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 118.589 * [backup-simplify]: Simplify (+ 0 0) into 0 118.589 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 118.589 * [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 118.589 * [taylor]: Taking taylor expansion of -2 in K 118.589 * [backup-simplify]: Simplify -2 into -2 118.589 * [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 118.589 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 118.589 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 118.589 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 118.590 * [taylor]: Taking taylor expansion of 1/2 in K 118.590 * [backup-simplify]: Simplify 1/2 into 1/2 118.590 * [taylor]: Taking taylor expansion of K in K 118.590 * [backup-simplify]: Simplify 0 into 0 118.590 * [backup-simplify]: Simplify 1 into 1 118.590 * [backup-simplify]: Simplify (* 1/2 0) into 0 118.591 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 118.591 * [taylor]: Taking taylor expansion of J in K 118.591 * [backup-simplify]: Simplify J into J 118.591 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 118.591 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 118.591 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 118.591 * [taylor]: Taking taylor expansion of 1/4 in K 118.591 * [backup-simplify]: Simplify 1/4 into 1/4 118.591 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 118.591 * [taylor]: Taking taylor expansion of (pow U 2) in K 118.591 * [taylor]: Taking taylor expansion of U in K 118.591 * [backup-simplify]: Simplify U into U 118.591 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 118.591 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 118.591 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 118.591 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 118.591 * [taylor]: Taking taylor expansion of 1/2 in K 118.591 * [backup-simplify]: Simplify 1/2 into 1/2 118.591 * [taylor]: Taking taylor expansion of K in K 118.591 * [backup-simplify]: Simplify 0 into 0 118.591 * [backup-simplify]: Simplify 1 into 1 118.592 * [backup-simplify]: Simplify (* 1/2 0) into 0 118.592 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 118.593 * [taylor]: Taking taylor expansion of (pow J 2) in K 118.593 * [taylor]: Taking taylor expansion of J in K 118.593 * [backup-simplify]: Simplify J into J 118.593 * [backup-simplify]: Simplify (* U U) into (pow U 2) 118.593 * [backup-simplify]: Simplify (* 1 1) into 1 118.593 * [backup-simplify]: Simplify (* J J) into (pow J 2) 118.593 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 118.593 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 118.593 * [taylor]: Taking taylor expansion of 1 in K 118.593 * [backup-simplify]: Simplify 1 into 1 118.594 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 118.594 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 118.594 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 118.594 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 118.594 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 118.595 * [backup-simplify]: Simplify (+ 0) into 0 118.595 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 118.596 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 118.596 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 118.597 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 118.597 * [backup-simplify]: Simplify (+ 0 0) into 0 118.597 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 118.597 * [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 118.597 * [taylor]: Taking taylor expansion of -2 in U 118.597 * [backup-simplify]: Simplify -2 into -2 118.597 * [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 118.598 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 118.598 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 118.598 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 118.598 * [taylor]: Taking taylor expansion of 1/2 in U 118.598 * [backup-simplify]: Simplify 1/2 into 1/2 118.598 * [taylor]: Taking taylor expansion of K in U 118.598 * [backup-simplify]: Simplify K into K 118.598 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 118.598 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 118.598 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 118.598 * [taylor]: Taking taylor expansion of J in U 118.598 * [backup-simplify]: Simplify J into J 118.598 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 118.598 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 118.598 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 118.598 * [taylor]: Taking taylor expansion of 1/4 in U 118.598 * [backup-simplify]: Simplify 1/4 into 1/4 118.598 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 118.598 * [taylor]: Taking taylor expansion of (pow U 2) in U 118.598 * [taylor]: Taking taylor expansion of U in U 118.598 * [backup-simplify]: Simplify 0 into 0 118.598 * [backup-simplify]: Simplify 1 into 1 118.598 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 118.598 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 118.598 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 118.598 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 118.598 * [taylor]: Taking taylor expansion of 1/2 in U 118.598 * [backup-simplify]: Simplify 1/2 into 1/2 118.598 * [taylor]: Taking taylor expansion of K in U 118.598 * [backup-simplify]: Simplify K into K 118.598 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 118.599 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 118.599 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 118.599 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 118.599 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 118.599 * [backup-simplify]: Simplify (- 0) into 0 118.599 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 118.599 * [taylor]: Taking taylor expansion of (pow J 2) in U 118.599 * [taylor]: Taking taylor expansion of J in U 118.599 * [backup-simplify]: Simplify J into J 118.600 * [backup-simplify]: Simplify (* 1 1) into 1 118.600 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 118.600 * [backup-simplify]: Simplify (* J J) into (pow J 2) 118.600 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 118.600 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 118.600 * [taylor]: Taking taylor expansion of 1 in U 118.600 * [backup-simplify]: Simplify 1 into 1 118.601 * [backup-simplify]: Simplify (+ 0 1) into 1 118.601 * [backup-simplify]: Simplify (sqrt 1) into 1 118.602 * [backup-simplify]: Simplify (+ 0 0) into 0 118.602 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 118.602 * [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 118.602 * [taylor]: Taking taylor expansion of -2 in U 118.602 * [backup-simplify]: Simplify -2 into -2 118.602 * [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 118.602 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 118.602 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 118.602 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 118.603 * [taylor]: Taking taylor expansion of 1/2 in U 118.603 * [backup-simplify]: Simplify 1/2 into 1/2 118.603 * [taylor]: Taking taylor expansion of K in U 118.603 * [backup-simplify]: Simplify K into K 118.603 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 118.603 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 118.603 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 118.603 * [taylor]: Taking taylor expansion of J in U 118.603 * [backup-simplify]: Simplify J into J 118.603 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 118.603 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 118.603 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 118.603 * [taylor]: Taking taylor expansion of 1/4 in U 118.603 * [backup-simplify]: Simplify 1/4 into 1/4 118.603 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 118.603 * [taylor]: Taking taylor expansion of (pow U 2) in U 118.603 * [taylor]: Taking taylor expansion of U in U 118.603 * [backup-simplify]: Simplify 0 into 0 118.603 * [backup-simplify]: Simplify 1 into 1 118.603 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 118.603 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 118.603 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 118.603 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 118.603 * [taylor]: Taking taylor expansion of 1/2 in U 118.603 * [backup-simplify]: Simplify 1/2 into 1/2 118.603 * [taylor]: Taking taylor expansion of K in U 118.603 * [backup-simplify]: Simplify K into K 118.603 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 118.603 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 118.603 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 118.604 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 118.604 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 118.604 * [backup-simplify]: Simplify (- 0) into 0 118.604 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 118.604 * [taylor]: Taking taylor expansion of (pow J 2) in U 118.604 * [taylor]: Taking taylor expansion of J in U 118.604 * [backup-simplify]: Simplify J into J 118.605 * [backup-simplify]: Simplify (* 1 1) into 1 118.605 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 118.605 * [backup-simplify]: Simplify (* J J) into (pow J 2) 118.605 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 118.605 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 118.605 * [taylor]: Taking taylor expansion of 1 in U 118.605 * [backup-simplify]: Simplify 1 into 1 118.606 * [backup-simplify]: Simplify (+ 0 1) into 1 118.606 * [backup-simplify]: Simplify (sqrt 1) into 1 118.606 * [backup-simplify]: Simplify (+ 0 0) into 0 118.607 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 118.607 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 118.607 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 118.608 * [backup-simplify]: Simplify (- 0) into 0 118.608 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 118.608 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 118.608 * [backup-simplify]: Simplify (* (* (cos (* 1/2 K)) J) 1) into (* (cos (* 1/2 K)) J) 118.608 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J)) 118.608 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in K 118.608 * [taylor]: Taking taylor expansion of -2 in K 118.608 * [backup-simplify]: Simplify -2 into -2 118.608 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 118.608 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 118.608 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 118.608 * [taylor]: Taking taylor expansion of 1/2 in K 118.608 * [backup-simplify]: Simplify 1/2 into 1/2 118.608 * [taylor]: Taking taylor expansion of K in K 118.608 * [backup-simplify]: Simplify 0 into 0 118.609 * [backup-simplify]: Simplify 1 into 1 118.609 * [backup-simplify]: Simplify (* 1/2 0) into 0 118.610 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 118.610 * [taylor]: Taking taylor expansion of J in K 118.610 * [backup-simplify]: Simplify J into J 118.610 * [backup-simplify]: Simplify (* 1 J) into J 118.610 * [backup-simplify]: Simplify (* -2 J) into (* -2 J) 118.610 * [taylor]: Taking taylor expansion of (* -2 J) in J 118.610 * [taylor]: Taking taylor expansion of -2 in J 118.610 * [backup-simplify]: Simplify -2 into -2 118.610 * [taylor]: Taking taylor expansion of J in J 118.610 * [backup-simplify]: Simplify 0 into 0 118.610 * [backup-simplify]: Simplify 1 into 1 118.610 * [backup-simplify]: Simplify (+ 0) into 0 118.611 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 118.611 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 118.612 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 118.613 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 118.613 * [backup-simplify]: Simplify (- 0) into 0 118.613 * [backup-simplify]: Simplify (+ 0 0) into 0 118.613 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 118.614 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (* 0 1)) into 0 118.615 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0 118.615 * [taylor]: Taking taylor expansion of 0 in K 118.615 * [backup-simplify]: Simplify 0 into 0 118.615 * [taylor]: Taking taylor expansion of 0 in J 118.615 * [backup-simplify]: Simplify 0 into 0 118.615 * [backup-simplify]: Simplify (+ 0) into 0 118.616 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 118.616 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 J)) into 0 118.616 * [taylor]: Taking taylor expansion of 0 in J 118.616 * [backup-simplify]: Simplify 0 into 0 118.617 * [backup-simplify]: Simplify (* -2 0) into 0 118.617 * [backup-simplify]: Simplify 0 into 0 118.617 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 118.617 * [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)))) 118.619 * [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))) 118.619 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 118.620 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 118.621 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 118.622 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 118.622 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 118.623 * [backup-simplify]: Simplify (- 0) into 0 118.623 * [backup-simplify]: Simplify (+ 0 0) into 0 118.624 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0 118.625 * [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))) 118.625 * [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)))) 118.625 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in K 118.625 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in K 118.625 * [taylor]: Taking taylor expansion of 1/4 in K 118.625 * [backup-simplify]: Simplify 1/4 into 1/4 118.625 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in K 118.625 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 118.625 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 118.625 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 118.625 * [taylor]: Taking taylor expansion of 1/2 in K 118.625 * [backup-simplify]: Simplify 1/2 into 1/2 118.625 * [taylor]: Taking taylor expansion of K in K 118.626 * [backup-simplify]: Simplify 0 into 0 118.626 * [backup-simplify]: Simplify 1 into 1 118.626 * [backup-simplify]: Simplify (* 1/2 0) into 0 118.627 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 118.627 * [taylor]: Taking taylor expansion of J in K 118.627 * [backup-simplify]: Simplify J into J 118.627 * [backup-simplify]: Simplify (* 1 J) into J 118.627 * [backup-simplify]: Simplify (/ 1 J) into (/ 1 J) 118.627 * [backup-simplify]: Simplify (* 1/4 (/ 1 J)) into (/ 1/4 J) 118.627 * [backup-simplify]: Simplify (- (/ 1/4 J)) into (- (* 1/4 (/ 1 J))) 118.627 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 J))) in J 118.627 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 J)) in J 118.627 * [taylor]: Taking taylor expansion of 1/4 in J 118.627 * [backup-simplify]: Simplify 1/4 into 1/4 118.627 * [taylor]: Taking taylor expansion of (/ 1 J) in J 118.627 * [taylor]: Taking taylor expansion of J in J 118.627 * [backup-simplify]: Simplify 0 into 0 118.627 * [backup-simplify]: Simplify 1 into 1 118.628 * [backup-simplify]: Simplify (/ 1 1) into 1 118.628 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 118.628 * [backup-simplify]: Simplify (- 1/4) into -1/4 118.628 * [backup-simplify]: Simplify -1/4 into -1/4 118.629 * [taylor]: Taking taylor expansion of 0 in J 118.629 * [backup-simplify]: Simplify 0 into 0 118.630 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 118.630 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J)) 118.631 * [backup-simplify]: Simplify (+ (* -2 (- (* 1/8 J))) (+ (* 0 0) (* 0 J))) into (* 1/4 J) 118.631 * [taylor]: Taking taylor expansion of (* 1/4 J) in J 118.631 * [taylor]: Taking taylor expansion of 1/4 in J 118.631 * [backup-simplify]: Simplify 1/4 into 1/4 118.631 * [taylor]: Taking taylor expansion of J in J 118.631 * [backup-simplify]: Simplify 0 into 0 118.631 * [backup-simplify]: Simplify 1 into 1 118.632 * [backup-simplify]: Simplify 0 into 0 118.632 * [backup-simplify]: Simplify 0 into 0 118.632 * [backup-simplify]: Simplify (+ (* -2 1) (* 0 0)) into -2 118.632 * [backup-simplify]: Simplify -2 into -2 118.633 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 118.633 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 118.634 * [backup-simplify]: Simplify (+ 0) into 0 118.634 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 118.635 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 118.635 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 118.636 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 118.636 * [backup-simplify]: Simplify (- 0) into 0 118.637 * [backup-simplify]: Simplify (+ 0 0) into 0 118.637 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 118.637 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 118.638 * [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 0 118.638 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 118.640 * [backup-simplify]: Simplify (+ 0 0) into 0 118.641 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 118.642 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 118.643 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 118.644 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 118.645 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 118.646 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 118.646 * [backup-simplify]: Simplify (- 0) into 0 118.647 * [backup-simplify]: Simplify (+ 0 0) into 0 118.648 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 118.649 * [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 0 118.650 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0 118.650 * [taylor]: Taking taylor expansion of 0 in K 118.650 * [backup-simplify]: Simplify 0 into 0 118.650 * [taylor]: Taking taylor expansion of 0 in J 118.650 * [backup-simplify]: Simplify 0 into 0 118.651 * [backup-simplify]: Simplify (+ 0) into 0 118.651 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 118.651 * [backup-simplify]: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 118.652 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 J))) into 0 118.652 * [backup-simplify]: Simplify (- 0) into 0 118.652 * [taylor]: Taking taylor expansion of 0 in J 118.652 * [backup-simplify]: Simplify 0 into 0 118.652 * [taylor]: Taking taylor expansion of 0 in J 118.652 * [backup-simplify]: Simplify 0 into 0 118.653 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 118.654 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 118.656 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0 118.656 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (- (* 1/8 J))) (+ (* 0 0) (* 0 J)))) into 0 118.656 * [taylor]: Taking taylor expansion of 0 in J 118.656 * [backup-simplify]: Simplify 0 into 0 118.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 118.657 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 118.657 * [backup-simplify]: Simplify (- 0) into 0 118.657 * [backup-simplify]: Simplify 0 into 0 118.657 * [backup-simplify]: Simplify 0 into 0 118.658 * [backup-simplify]: Simplify (* 1/4 0) into 0 118.658 * [backup-simplify]: Simplify 0 into 0 118.658 * [backup-simplify]: Simplify 0 into 0 118.658 * [backup-simplify]: Simplify 0 into 0 118.658 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0 118.658 * [backup-simplify]: Simplify 0 into 0 118.659 * [backup-simplify]: Simplify (+ (* -2 (* J (* 1 1))) (* -1/4 (* (/ 1 J) (* 1 (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 118.659 * [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)) (/ 1 J))) (cbrt (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (/ 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))) 118.659 * [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 0 118.660 * [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 118.660 * [taylor]: Taking taylor expansion of -2 in J 118.660 * [backup-simplify]: Simplify -2 into -2 118.660 * [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 118.660 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 118.660 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 118.660 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 118.660 * [taylor]: Taking taylor expansion of 1/4 in J 118.660 * [backup-simplify]: Simplify 1/4 into 1/4 118.660 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 118.660 * [taylor]: Taking taylor expansion of (pow J 2) in J 118.660 * [taylor]: Taking taylor expansion of J in J 118.660 * [backup-simplify]: Simplify 0 into 0 118.660 * [backup-simplify]: Simplify 1 into 1 118.660 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 118.660 * [taylor]: Taking taylor expansion of (pow U 2) in J 118.660 * [taylor]: Taking taylor expansion of U in J 118.660 * [backup-simplify]: Simplify U into U 118.660 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 118.660 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 118.660 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 118.660 * [taylor]: Taking taylor expansion of 1/2 in J 118.660 * [backup-simplify]: Simplify 1/2 into 1/2 118.660 * [taylor]: Taking taylor expansion of K in J 118.660 * [backup-simplify]: Simplify K into K 118.660 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 118.660 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 118.660 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 118.660 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 118.660 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 118.660 * [backup-simplify]: Simplify (- 0) into 0 118.660 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 118.661 * [backup-simplify]: Simplify (* 1 1) into 1 118.661 * [backup-simplify]: Simplify (* U U) into (pow U 2) 118.661 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 118.661 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 118.661 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 118.661 * [taylor]: Taking taylor expansion of 1 in J 118.661 * [backup-simplify]: Simplify 1 into 1 118.661 * [backup-simplify]: Simplify (+ 0 1) into 1 118.662 * [backup-simplify]: Simplify (sqrt 1) into 1 118.662 * [backup-simplify]: Simplify (+ 0 0) into 0 118.662 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 118.662 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 118.662 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 118.662 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 118.662 * [taylor]: Taking taylor expansion of 1/2 in J 118.662 * [backup-simplify]: Simplify 1/2 into 1/2 118.662 * [taylor]: Taking taylor expansion of K in J 118.662 * [backup-simplify]: Simplify K into K 118.663 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 118.663 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 118.663 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 118.663 * [taylor]: Taking taylor expansion of J in J 118.663 * [backup-simplify]: Simplify 0 into 0 118.663 * [backup-simplify]: Simplify 1 into 1 118.663 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 118.663 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 118.663 * [backup-simplify]: Simplify (- 0) into 0 118.663 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 118.663 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 118.663 * [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 118.663 * [taylor]: Taking taylor expansion of -2 in K 118.663 * [backup-simplify]: Simplify -2 into -2 118.663 * [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 118.663 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 118.663 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 118.663 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 118.663 * [taylor]: Taking taylor expansion of 1/4 in K 118.663 * [backup-simplify]: Simplify 1/4 into 1/4 118.663 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 118.663 * [taylor]: Taking taylor expansion of (pow J 2) in K 118.663 * [taylor]: Taking taylor expansion of J in K 118.663 * [backup-simplify]: Simplify J into J 118.663 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 118.663 * [taylor]: Taking taylor expansion of (pow U 2) in K 118.663 * [taylor]: Taking taylor expansion of U in K 118.663 * [backup-simplify]: Simplify U into U 118.663 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 118.663 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 118.663 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 118.663 * [taylor]: Taking taylor expansion of 1/2 in K 118.663 * [backup-simplify]: Simplify 1/2 into 1/2 118.663 * [taylor]: Taking taylor expansion of K in K 118.663 * [backup-simplify]: Simplify 0 into 0 118.664 * [backup-simplify]: Simplify 1 into 1 118.664 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 118.664 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 118.664 * [backup-simplify]: Simplify (* J J) into (pow J 2) 118.664 * [backup-simplify]: Simplify (* U U) into (pow U 2) 118.664 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 118.664 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 118.664 * [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))) 118.664 * [taylor]: Taking taylor expansion of 1 in K 118.664 * [backup-simplify]: Simplify 1 into 1 118.664 * [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)))) 118.665 * [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) 118.665 * [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)) 118.665 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 118.665 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 118.665 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 118.665 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 118.666 * [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 0 118.666 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 118.666 * [backup-simplify]: Simplify (+ 0 0) into 0 118.667 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 118.667 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 118.667 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 118.667 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 118.667 * [taylor]: Taking taylor expansion of 1/2 in K 118.667 * [backup-simplify]: Simplify 1/2 into 1/2 118.667 * [taylor]: Taking taylor expansion of K in K 118.667 * [backup-simplify]: Simplify 0 into 0 118.667 * [backup-simplify]: Simplify 1 into 1 118.667 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 118.667 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 118.667 * [taylor]: Taking taylor expansion of J in K 118.667 * [backup-simplify]: Simplify J into J 118.667 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 118.667 * [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 118.667 * [taylor]: Taking taylor expansion of -2 in U 118.667 * [backup-simplify]: Simplify -2 into -2 118.667 * [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 118.667 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 118.667 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 118.667 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 118.667 * [taylor]: Taking taylor expansion of 1/4 in U 118.667 * [backup-simplify]: Simplify 1/4 into 1/4 118.667 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 118.668 * [taylor]: Taking taylor expansion of (pow J 2) in U 118.668 * [taylor]: Taking taylor expansion of J in U 118.668 * [backup-simplify]: Simplify J into J 118.668 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 118.668 * [taylor]: Taking taylor expansion of (pow U 2) in U 118.668 * [taylor]: Taking taylor expansion of U in U 118.668 * [backup-simplify]: Simplify 0 into 0 118.668 * [backup-simplify]: Simplify 1 into 1 118.668 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 118.668 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 118.668 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 118.668 * [taylor]: Taking taylor expansion of 1/2 in U 118.668 * [backup-simplify]: Simplify 1/2 into 1/2 118.668 * [taylor]: Taking taylor expansion of K in U 118.668 * [backup-simplify]: Simplify K into K 118.668 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 118.668 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 118.668 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 118.668 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 118.668 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 118.668 * [backup-simplify]: Simplify (- 0) into 0 118.668 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 118.668 * [backup-simplify]: Simplify (* J J) into (pow J 2) 118.669 * [backup-simplify]: Simplify (* 1 1) into 1 118.669 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 118.669 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 118.669 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 118.669 * [taylor]: Taking taylor expansion of 1 in U 118.669 * [backup-simplify]: Simplify 1 into 1 118.669 * [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))) 118.669 * [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))) 118.669 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 118.669 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 118.670 * [backup-simplify]: Simplify (+ 0) into 0 118.670 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 118.670 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 118.671 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 118.671 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 118.671 * [backup-simplify]: Simplify (- 0) into 0 118.671 * [backup-simplify]: Simplify (+ 0 0) into 0 118.671 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 118.672 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 118.672 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 118.672 * [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 0 118.673 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 118.673 * [backup-simplify]: Simplify (+ 0 0) into 0 118.673 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 118.673 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 118.673 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 118.673 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 118.673 * [taylor]: Taking taylor expansion of 1/2 in U 118.673 * [backup-simplify]: Simplify 1/2 into 1/2 118.673 * [taylor]: Taking taylor expansion of K in U 118.673 * [backup-simplify]: Simplify K into K 118.673 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 118.673 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 118.673 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 118.673 * [taylor]: Taking taylor expansion of J in U 118.673 * [backup-simplify]: Simplify J into J 118.674 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 118.674 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 118.674 * [backup-simplify]: Simplify (- 0) into 0 118.674 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 118.674 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 118.674 * [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 118.674 * [taylor]: Taking taylor expansion of -2 in U 118.674 * [backup-simplify]: Simplify -2 into -2 118.674 * [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 118.674 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 118.674 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 118.674 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 118.674 * [taylor]: Taking taylor expansion of 1/4 in U 118.674 * [backup-simplify]: Simplify 1/4 into 1/4 118.674 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 118.674 * [taylor]: Taking taylor expansion of (pow J 2) in U 118.674 * [taylor]: Taking taylor expansion of J in U 118.674 * [backup-simplify]: Simplify J into J 118.674 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 118.674 * [taylor]: Taking taylor expansion of (pow U 2) in U 118.674 * [taylor]: Taking taylor expansion of U in U 118.674 * [backup-simplify]: Simplify 0 into 0 118.674 * [backup-simplify]: Simplify 1 into 1 118.674 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 118.674 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 118.674 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 118.674 * [taylor]: Taking taylor expansion of 1/2 in U 118.674 * [backup-simplify]: Simplify 1/2 into 1/2 118.674 * [taylor]: Taking taylor expansion of K in U 118.674 * [backup-simplify]: Simplify K into K 118.674 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 118.674 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 118.674 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 118.675 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 118.675 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 118.675 * [backup-simplify]: Simplify (- 0) into 0 118.675 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 118.675 * [backup-simplify]: Simplify (* J J) into (pow J 2) 118.675 * [backup-simplify]: Simplify (* 1 1) into 1 118.675 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 118.675 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 118.675 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 118.675 * [taylor]: Taking taylor expansion of 1 in U 118.675 * [backup-simplify]: Simplify 1 into 1 118.676 * [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))) 118.676 * [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))) 118.676 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 118.676 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 118.676 * [backup-simplify]: Simplify (+ 0) into 0 118.677 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 118.677 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 118.677 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 118.677 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 118.678 * [backup-simplify]: Simplify (- 0) into 0 118.678 * [backup-simplify]: Simplify (+ 0 0) into 0 118.678 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 118.678 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 118.679 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 118.679 * [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 0 118.679 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 118.680 * [backup-simplify]: Simplify (+ 0 0) into 0 118.680 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 118.680 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 118.680 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 118.680 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 118.680 * [taylor]: Taking taylor expansion of 1/2 in U 118.680 * [backup-simplify]: Simplify 1/2 into 1/2 118.680 * [taylor]: Taking taylor expansion of K in U 118.680 * [backup-simplify]: Simplify K into K 118.680 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 118.680 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 118.680 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 118.680 * [taylor]: Taking taylor expansion of J in U 118.680 * [backup-simplify]: Simplify J into J 118.680 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 118.680 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 118.680 * [backup-simplify]: Simplify (- 0) into 0 118.680 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 118.680 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 118.681 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ (cos (/ 1/2 K)) J)) into 1/2 118.681 * [backup-simplify]: Simplify (* -2 1/2) into -1 118.681 * [taylor]: Taking taylor expansion of -1 in K 118.681 * [backup-simplify]: Simplify -1 into -1 118.681 * [taylor]: Taking taylor expansion of -1 in J 118.681 * [backup-simplify]: Simplify -1 into -1 118.681 * [backup-simplify]: Simplify (+ 0) into 0 118.682 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 118.682 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 118.682 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 118.683 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 118.683 * [backup-simplify]: Simplify (- 0) into 0 118.683 * [backup-simplify]: Simplify (+ 0 0) into 0 118.683 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 118.683 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (/ (cos (/ 1/2 K)) J))) into 0 118.684 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0 118.684 * [taylor]: Taking taylor expansion of 0 in K 118.684 * [backup-simplify]: Simplify 0 into 0 118.684 * [taylor]: Taking taylor expansion of 0 in J 118.684 * [backup-simplify]: Simplify 0 into 0 118.684 * [taylor]: Taking taylor expansion of 0 in J 118.684 * [backup-simplify]: Simplify 0 into 0 118.684 * [backup-simplify]: Simplify -1 into -1 118.685 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 118.685 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 118.685 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 118.686 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 118.686 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 118.686 * [backup-simplify]: Simplify (- 0) into 0 118.687 * [backup-simplify]: Simplify (+ 0 0) into 0 118.687 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 118.687 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 118.688 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 118.688 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 118.689 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 118.689 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 118.690 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 118.690 * [backup-simplify]: Simplify (- 0) into 0 118.691 * [backup-simplify]: Simplify (+ 0 0) into 0 118.691 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 118.692 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 118.698 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 118.699 * [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))))) into 0 118.700 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 118.700 * [backup-simplify]: Simplify (+ 0 1) into 1 118.701 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 118.702 * [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)) 118.703 * [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)))) 118.703 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in K 118.703 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in K 118.703 * [taylor]: Taking taylor expansion of 2 in K 118.703 * [backup-simplify]: Simplify 2 into 2 118.703 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in K 118.703 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 118.703 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 118.703 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 118.703 * [taylor]: Taking taylor expansion of 1/2 in K 118.703 * [backup-simplify]: Simplify 1/2 into 1/2 118.703 * [taylor]: Taking taylor expansion of K in K 118.704 * [backup-simplify]: Simplify 0 into 0 118.704 * [backup-simplify]: Simplify 1 into 1 118.704 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 118.704 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 118.704 * [taylor]: Taking taylor expansion of (pow J 2) in K 118.704 * [taylor]: Taking taylor expansion of J in K 118.704 * [backup-simplify]: Simplify J into J 118.704 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 118.704 * [backup-simplify]: Simplify (* J J) into (pow J 2) 118.705 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 118.705 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) into (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 118.705 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) 118.705 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J 118.705 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J 118.705 * [taylor]: Taking taylor expansion of 2 in J 118.705 * [backup-simplify]: Simplify 2 into 2 118.705 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J 118.705 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 118.705 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 118.705 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 118.705 * [taylor]: Taking taylor expansion of 1/2 in J 118.705 * [backup-simplify]: Simplify 1/2 into 1/2 118.705 * [taylor]: Taking taylor expansion of K in J 118.705 * [backup-simplify]: Simplify K into K 118.706 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 118.706 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 118.706 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 118.706 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 118.706 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 118.706 * [backup-simplify]: Simplify (- 0) into 0 118.706 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 118.706 * [taylor]: Taking taylor expansion of (pow J 2) in J 118.706 * [taylor]: Taking taylor expansion of J in J 118.706 * [backup-simplify]: Simplify 0 into 0 118.707 * [backup-simplify]: Simplify 1 into 1 118.707 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 118.707 * [backup-simplify]: Simplify (* 1 1) into 1 118.707 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 118.708 * [backup-simplify]: Simplify (+ 0) into 0 118.708 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 118.708 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 118.709 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 118.710 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 118.710 * [backup-simplify]: Simplify (- 0) into 0 118.710 * [backup-simplify]: Simplify (+ 0 0) into 0 118.711 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 118.711 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 118.712 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 118.713 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 118.713 * [backup-simplify]: Simplify (- 0) into 0 118.713 * [backup-simplify]: Simplify 0 into 0 118.713 * [taylor]: Taking taylor expansion of 0 in J 118.713 * [backup-simplify]: Simplify 0 into 0 118.713 * [taylor]: Taking taylor expansion of 0 in J 118.713 * [backup-simplify]: Simplify 0 into 0 118.714 * [backup-simplify]: Simplify 0 into 0 118.714 * [backup-simplify]: Simplify 0 into 0 118.714 * [backup-simplify]: Simplify 0 into 0 118.715 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 118.715 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 118.716 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 118.717 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 118.718 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 118.718 * [backup-simplify]: Simplify (- 0) into 0 118.719 * [backup-simplify]: Simplify (+ 0 0) into 0 118.719 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 118.720 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 118.720 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 118.721 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 118.721 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 118.722 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 118.722 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 118.722 * [backup-simplify]: Simplify (- 0) into 0 118.723 * [backup-simplify]: Simplify (+ 0 0) into 0 118.723 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 118.724 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 118.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 118.725 * [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 0 118.726 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 118.726 * [backup-simplify]: Simplify (+ 0 0) into 0 118.726 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 118.727 * [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 0 118.728 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 118.728 * [taylor]: Taking taylor expansion of 0 in K 118.728 * [backup-simplify]: Simplify 0 into 0 118.728 * [taylor]: Taking taylor expansion of 0 in J 118.728 * [backup-simplify]: Simplify 0 into 0 118.728 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 118.728 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 118.728 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 118.728 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) into 0 118.729 * [backup-simplify]: Simplify (- 0) into 0 118.729 * [taylor]: Taking taylor expansion of 0 in J 118.729 * [backup-simplify]: Simplify 0 into 0 118.729 * [taylor]: Taking taylor expansion of 0 in J 118.729 * [backup-simplify]: Simplify 0 into 0 118.729 * [taylor]: Taking taylor expansion of 0 in J 118.729 * [backup-simplify]: Simplify 0 into 0 118.730 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 118.730 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 118.730 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 118.731 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 118.731 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 118.731 * [backup-simplify]: Simplify (- 0) into 0 118.732 * [backup-simplify]: Simplify (+ 0 0) into 0 118.732 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 118.733 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 118.734 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 118.734 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 118.734 * [backup-simplify]: Simplify (- 0) into 0 118.734 * [backup-simplify]: Simplify 0 into 0 118.734 * [backup-simplify]: Simplify 0 into 0 118.735 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U) 118.735 * [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)) (/ 1 (- J)))) (cbrt (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (/ 1 (- J)))))) into (* -2 (* (/ (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) 118.736 * [approximate]: Taking taylor expansion of (* -2 (* (/ (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in (U K J) around 0 118.736 * [taylor]: Taking taylor expansion of (* -2 (* (/ (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J 118.736 * [taylor]: Taking taylor expansion of -2 in J 118.736 * [backup-simplify]: Simplify -2 into -2 118.736 * [taylor]: Taking taylor expansion of (* (/ (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 118.736 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) J) in J 118.736 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) in J 118.736 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 118.736 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 118.736 * [taylor]: Taking taylor expansion of -1/2 in J 118.736 * [backup-simplify]: Simplify -1/2 into -1/2 118.736 * [taylor]: Taking taylor expansion of K in J 118.736 * [backup-simplify]: Simplify K into K 118.736 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 118.736 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 118.736 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 118.736 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in J 118.736 * [taylor]: Taking taylor expansion of (cbrt -1) in J 118.736 * [taylor]: Taking taylor expansion of -1 in J 118.736 * [backup-simplify]: Simplify -1 into -1 118.736 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 118.737 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 118.737 * [taylor]: Taking taylor expansion of J in J 118.737 * [backup-simplify]: Simplify 0 into 0 118.737 * [backup-simplify]: Simplify 1 into 1 118.737 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 118.737 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 118.737 * [backup-simplify]: Simplify (- 0) into 0 118.737 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 118.738 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 118.739 * [backup-simplify]: Simplify (* (cbrt -1) (pow (cbrt -1) 2)) into (pow (cbrt -1) 3) 118.740 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) into (* -1 (cos (/ -1/2 K))) 118.740 * [backup-simplify]: Simplify (/ (* -1 (cos (/ -1/2 K))) 1) into (* -1 (cos (/ -1/2 K))) 118.740 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 118.740 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 118.740 * [taylor]: Taking taylor expansion of 1 in J 118.740 * [backup-simplify]: Simplify 1 into 1 118.740 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 118.740 * [taylor]: Taking taylor expansion of 1/4 in J 118.740 * [backup-simplify]: Simplify 1/4 into 1/4 118.740 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 118.740 * [taylor]: Taking taylor expansion of (pow J 2) in J 118.740 * [taylor]: Taking taylor expansion of J in J 118.740 * [backup-simplify]: Simplify 0 into 0 118.740 * [backup-simplify]: Simplify 1 into 1 118.740 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 118.740 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 118.740 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 118.740 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 118.740 * [taylor]: Taking taylor expansion of -1/2 in J 118.740 * [backup-simplify]: Simplify -1/2 into -1/2 118.740 * [taylor]: Taking taylor expansion of K in J 118.740 * [backup-simplify]: Simplify K into K 118.741 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 118.741 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 118.741 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 118.741 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 118.741 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 118.741 * [backup-simplify]: Simplify (- 0) into 0 118.741 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 118.741 * [taylor]: Taking taylor expansion of (pow U 2) in J 118.741 * [taylor]: Taking taylor expansion of U in J 118.741 * [backup-simplify]: Simplify U into U 118.741 * [backup-simplify]: Simplify (* 1 1) into 1 118.741 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 118.741 * [backup-simplify]: Simplify (* U U) into (pow U 2) 118.742 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 118.742 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 118.742 * [backup-simplify]: Simplify (+ 1 0) into 1 118.742 * [backup-simplify]: Simplify (sqrt 1) into 1 118.742 * [backup-simplify]: Simplify (+ 0 0) into 0 118.743 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 118.743 * [taylor]: Taking taylor expansion of (* -2 (* (/ (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K 118.743 * [taylor]: Taking taylor expansion of -2 in K 118.743 * [backup-simplify]: Simplify -2 into -2 118.743 * [taylor]: Taking taylor expansion of (* (/ (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K 118.743 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) J) in K 118.743 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) in K 118.743 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 118.743 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 118.743 * [taylor]: Taking taylor expansion of -1/2 in K 118.743 * [backup-simplify]: Simplify -1/2 into -1/2 118.743 * [taylor]: Taking taylor expansion of K in K 118.743 * [backup-simplify]: Simplify 0 into 0 118.743 * [backup-simplify]: Simplify 1 into 1 118.743 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 118.743 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 118.743 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in K 118.743 * [taylor]: Taking taylor expansion of (cbrt -1) in K 118.743 * [taylor]: Taking taylor expansion of -1 in K 118.743 * [backup-simplify]: Simplify -1 into -1 118.744 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 118.744 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 118.744 * [taylor]: Taking taylor expansion of J in K 118.744 * [backup-simplify]: Simplify J into J 118.745 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 118.746 * [backup-simplify]: Simplify (* (cbrt -1) (pow (cbrt -1) 2)) into (pow (cbrt -1) 3) 118.747 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) into (* -1 (cos (/ -1/2 K))) 118.747 * [backup-simplify]: Simplify (/ (* -1 (cos (/ -1/2 K))) J) into (* -1 (/ (cos (/ -1/2 K)) J)) 118.747 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 118.747 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 118.747 * [taylor]: Taking taylor expansion of 1 in K 118.747 * [backup-simplify]: Simplify 1 into 1 118.747 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 118.747 * [taylor]: Taking taylor expansion of 1/4 in K 118.747 * [backup-simplify]: Simplify 1/4 into 1/4 118.747 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 118.747 * [taylor]: Taking taylor expansion of (pow J 2) in K 118.747 * [taylor]: Taking taylor expansion of J in K 118.747 * [backup-simplify]: Simplify J into J 118.747 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 118.747 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 118.747 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 118.747 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 118.747 * [taylor]: Taking taylor expansion of -1/2 in K 118.747 * [backup-simplify]: Simplify -1/2 into -1/2 118.747 * [taylor]: Taking taylor expansion of K in K 118.747 * [backup-simplify]: Simplify 0 into 0 118.747 * [backup-simplify]: Simplify 1 into 1 118.748 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 118.748 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 118.748 * [taylor]: Taking taylor expansion of (pow U 2) in K 118.748 * [taylor]: Taking taylor expansion of U in K 118.748 * [backup-simplify]: Simplify U into U 118.748 * [backup-simplify]: Simplify (* J J) into (pow J 2) 118.748 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 118.748 * [backup-simplify]: Simplify (* U U) into (pow U 2) 118.748 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 118.748 * [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))) 118.748 * [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)))) 118.749 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 118.749 * [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)))))) 118.749 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 118.749 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 118.749 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 118.749 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 118.749 * [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 0 118.750 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 118.750 * [backup-simplify]: Simplify (+ 0 0) into 0 118.750 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 118.750 * [taylor]: Taking taylor expansion of (* -2 (* (/ (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 118.750 * [taylor]: Taking taylor expansion of -2 in U 118.750 * [backup-simplify]: Simplify -2 into -2 118.750 * [taylor]: Taking taylor expansion of (* (/ (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 118.750 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) J) in U 118.750 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) in U 118.750 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 118.751 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 118.751 * [taylor]: Taking taylor expansion of -1/2 in U 118.751 * [backup-simplify]: Simplify -1/2 into -1/2 118.751 * [taylor]: Taking taylor expansion of K in U 118.751 * [backup-simplify]: Simplify K into K 118.751 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 118.751 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 118.751 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 118.751 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in U 118.751 * [taylor]: Taking taylor expansion of (cbrt -1) in U 118.751 * [taylor]: Taking taylor expansion of -1 in U 118.751 * [backup-simplify]: Simplify -1 into -1 118.751 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 118.751 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 118.752 * [taylor]: Taking taylor expansion of J in U 118.752 * [backup-simplify]: Simplify J into J 118.752 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 118.752 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 118.752 * [backup-simplify]: Simplify (- 0) into 0 118.752 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 118.754 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 118.756 * [backup-simplify]: Simplify (* (cbrt -1) (pow (cbrt -1) 2)) into (pow (cbrt -1) 3) 118.757 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) into (* -1 (cos (/ -1/2 K))) 118.757 * [backup-simplify]: Simplify (/ (* -1 (cos (/ -1/2 K))) J) into (* -1 (/ (cos (/ -1/2 K)) J)) 118.757 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 118.757 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 118.757 * [taylor]: Taking taylor expansion of 1 in U 118.757 * [backup-simplify]: Simplify 1 into 1 118.757 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 118.757 * [taylor]: Taking taylor expansion of 1/4 in U 118.757 * [backup-simplify]: Simplify 1/4 into 1/4 118.757 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 118.757 * [taylor]: Taking taylor expansion of (pow J 2) in U 118.757 * [taylor]: Taking taylor expansion of J in U 118.757 * [backup-simplify]: Simplify J into J 118.757 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 118.757 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 118.757 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 118.757 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 118.757 * [taylor]: Taking taylor expansion of -1/2 in U 118.757 * [backup-simplify]: Simplify -1/2 into -1/2 118.757 * [taylor]: Taking taylor expansion of K in U 118.757 * [backup-simplify]: Simplify K into K 118.757 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 118.757 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 118.757 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 118.758 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 118.758 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 118.758 * [backup-simplify]: Simplify (- 0) into 0 118.758 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 118.758 * [taylor]: Taking taylor expansion of (pow U 2) in U 118.758 * [taylor]: Taking taylor expansion of U in U 118.758 * [backup-simplify]: Simplify 0 into 0 118.758 * [backup-simplify]: Simplify 1 into 1 118.758 * [backup-simplify]: Simplify (* J J) into (pow J 2) 118.758 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 118.759 * [backup-simplify]: Simplify (* 1 1) into 1 118.759 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 118.759 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 118.759 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 118.760 * [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))) 118.760 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 118.760 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 118.761 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 118.761 * [backup-simplify]: Simplify (+ 0) into 0 118.761 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 118.762 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 118.762 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 118.763 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 118.763 * [backup-simplify]: Simplify (- 0) into 0 118.764 * [backup-simplify]: Simplify (+ 0 0) into 0 118.764 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 118.764 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 118.765 * [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 0 118.765 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 118.766 * [backup-simplify]: Simplify (+ 0 0) into 0 118.766 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 118.766 * [taylor]: Taking taylor expansion of (* -2 (* (/ (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 118.766 * [taylor]: Taking taylor expansion of -2 in U 118.766 * [backup-simplify]: Simplify -2 into -2 118.766 * [taylor]: Taking taylor expansion of (* (/ (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 118.766 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) J) in U 118.766 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) in U 118.766 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 118.766 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 118.766 * [taylor]: Taking taylor expansion of -1/2 in U 118.766 * [backup-simplify]: Simplify -1/2 into -1/2 118.766 * [taylor]: Taking taylor expansion of K in U 118.766 * [backup-simplify]: Simplify K into K 118.766 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 118.766 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 118.767 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 118.767 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in U 118.767 * [taylor]: Taking taylor expansion of (cbrt -1) in U 118.767 * [taylor]: Taking taylor expansion of -1 in U 118.767 * [backup-simplify]: Simplify -1 into -1 118.767 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 118.768 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 118.768 * [taylor]: Taking taylor expansion of J in U 118.768 * [backup-simplify]: Simplify J into J 118.768 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 118.768 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 118.768 * [backup-simplify]: Simplify (- 0) into 0 118.769 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 118.770 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 118.772 * [backup-simplify]: Simplify (* (cbrt -1) (pow (cbrt -1) 2)) into (pow (cbrt -1) 3) 118.773 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) into (* -1 (cos (/ -1/2 K))) 118.773 * [backup-simplify]: Simplify (/ (* -1 (cos (/ -1/2 K))) J) into (* -1 (/ (cos (/ -1/2 K)) J)) 118.773 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 118.773 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 118.773 * [taylor]: Taking taylor expansion of 1 in U 118.773 * [backup-simplify]: Simplify 1 into 1 118.773 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 118.773 * [taylor]: Taking taylor expansion of 1/4 in U 118.773 * [backup-simplify]: Simplify 1/4 into 1/4 118.773 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 118.773 * [taylor]: Taking taylor expansion of (pow J 2) in U 118.773 * [taylor]: Taking taylor expansion of J in U 118.773 * [backup-simplify]: Simplify J into J 118.773 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 118.773 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 118.773 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 118.773 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 118.773 * [taylor]: Taking taylor expansion of -1/2 in U 118.773 * [backup-simplify]: Simplify -1/2 into -1/2 118.774 * [taylor]: Taking taylor expansion of K in U 118.774 * [backup-simplify]: Simplify K into K 118.774 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 118.774 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 118.774 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 118.774 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 118.774 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 118.774 * [backup-simplify]: Simplify (- 0) into 0 118.774 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 118.774 * [taylor]: Taking taylor expansion of (pow U 2) in U 118.774 * [taylor]: Taking taylor expansion of U in U 118.774 * [backup-simplify]: Simplify 0 into 0 118.774 * [backup-simplify]: Simplify 1 into 1 118.775 * [backup-simplify]: Simplify (* J J) into (pow J 2) 118.775 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 118.775 * [backup-simplify]: Simplify (* 1 1) into 1 118.775 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 118.775 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 118.776 * [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))) 118.776 * [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))) 118.776 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 118.776 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 118.776 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 118.777 * [backup-simplify]: Simplify (+ 0) into 0 118.777 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 118.777 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 118.777 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 118.778 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 118.778 * [backup-simplify]: Simplify (- 0) into 0 118.778 * [backup-simplify]: Simplify (+ 0 0) into 0 118.778 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 118.779 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 118.779 * [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 0 118.779 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 118.780 * [backup-simplify]: Simplify (+ 0 0) into 0 118.780 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 118.780 * [backup-simplify]: Simplify (* (* -1 (/ (cos (/ -1/2 K)) J)) (* 1/2 (/ J (cos (/ -1/2 K))))) into -1/2 118.780 * [backup-simplify]: Simplify (* -2 -1/2) into 1 118.780 * [taylor]: Taking taylor expansion of 1 in K 118.780 * [backup-simplify]: Simplify 1 into 1 118.780 * [taylor]: Taking taylor expansion of 1 in J 118.780 * [backup-simplify]: Simplify 1 into 1 118.781 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 118.782 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow (cbrt -1) 2))) into 0 118.782 * [backup-simplify]: Simplify (+ 0) into 0 118.782 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 118.783 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 118.783 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 118.783 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 118.784 * [backup-simplify]: Simplify (- 0) into 0 118.784 * [backup-simplify]: Simplify (+ 0 0) into 0 118.784 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (pow (cbrt -1) 3))) into 0 118.785 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (* -1 (/ (cos (/ -1/2 K)) J)) (/ 0 J)))) into 0 118.785 * [backup-simplify]: Simplify (+ (* (* -1 (/ (cos (/ -1/2 K)) J)) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 118.785 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 -1/2)) into 0 118.785 * [taylor]: Taking taylor expansion of 0 in K 118.785 * [backup-simplify]: Simplify 0 into 0 118.785 * [taylor]: Taking taylor expansion of 0 in J 118.785 * [backup-simplify]: Simplify 0 into 0 118.785 * [taylor]: Taking taylor expansion of 0 in J 118.785 * [backup-simplify]: Simplify 0 into 0 118.785 * [backup-simplify]: Simplify 1 into 1 118.786 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 118.786 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 118.787 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 118.787 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 118.787 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 118.788 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 118.788 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 118.788 * [backup-simplify]: Simplify (- 0) into 0 118.789 * [backup-simplify]: Simplify (+ 0 0) into 0 118.789 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 118.789 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 118.790 * [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 0 118.790 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 118.791 * [backup-simplify]: Simplify (+ 1 0) into 1 118.791 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 118.792 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 118.793 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 118.793 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2)))) into 0 118.794 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 118.794 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 118.795 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 118.795 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 118.795 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 118.796 * [backup-simplify]: Simplify (- 0) into 0 118.796 * [backup-simplify]: Simplify (+ 0 0) into 0 118.797 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 3)))) into 0 118.797 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (* -1 (/ (cos (/ -1/2 K)) J)) (/ 0 J)) (* 0 (/ 0 J)))) into 0 118.797 * [backup-simplify]: Simplify (+ (* (* -1 (/ (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))) 118.798 * [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))) 118.798 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in K 118.798 * [taylor]: Taking taylor expansion of 2 in K 118.798 * [backup-simplify]: Simplify 2 into 2 118.798 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in K 118.798 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 118.798 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 118.798 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 118.798 * [taylor]: Taking taylor expansion of -1/2 in K 118.798 * [backup-simplify]: Simplify -1/2 into -1/2 118.798 * [taylor]: Taking taylor expansion of K in K 118.798 * [backup-simplify]: Simplify 0 into 0 118.798 * [backup-simplify]: Simplify 1 into 1 118.798 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 118.798 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 118.798 * [taylor]: Taking taylor expansion of (pow J 2) in K 118.798 * [taylor]: Taking taylor expansion of J in K 118.798 * [backup-simplify]: Simplify J into J 118.798 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 118.799 * [backup-simplify]: Simplify (* J J) into (pow J 2) 118.799 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 118.799 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 118.799 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J 118.799 * [taylor]: Taking taylor expansion of 2 in J 118.799 * [backup-simplify]: Simplify 2 into 2 118.799 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J 118.799 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 118.799 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 118.799 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 118.799 * [taylor]: Taking taylor expansion of -1/2 in J 118.799 * [backup-simplify]: Simplify -1/2 into -1/2 118.799 * [taylor]: Taking taylor expansion of K in J 118.799 * [backup-simplify]: Simplify K into K 118.799 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 118.799 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 118.799 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 118.799 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 118.799 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 118.799 * [backup-simplify]: Simplify (- 0) into 0 118.799 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 118.799 * [taylor]: Taking taylor expansion of (pow J 2) in J 118.799 * [taylor]: Taking taylor expansion of J in J 118.799 * [backup-simplify]: Simplify 0 into 0 118.799 * [backup-simplify]: Simplify 1 into 1 118.800 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 118.800 * [backup-simplify]: Simplify (* 1 1) into 1 118.800 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 118.800 * [backup-simplify]: Simplify (+ 0) into 0 118.801 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 118.801 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 118.801 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 118.801 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 118.802 * [backup-simplify]: Simplify (- 0) into 0 118.802 * [backup-simplify]: Simplify (+ 0 0) into 0 118.802 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 118.803 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 118.803 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 118.803 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 118.804 * [backup-simplify]: Simplify 0 into 0 118.804 * [taylor]: Taking taylor expansion of 0 in J 118.804 * [backup-simplify]: Simplify 0 into 0 118.804 * [taylor]: Taking taylor expansion of 0 in J 118.804 * [backup-simplify]: Simplify 0 into 0 118.804 * [backup-simplify]: Simplify 0 into 0 118.804 * [backup-simplify]: Simplify 0 into 0 118.804 * [backup-simplify]: Simplify 0 into 0 118.805 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 118.805 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 118.806 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 118.806 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 118.807 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 118.812 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 118.813 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 118.813 * [backup-simplify]: Simplify (- 0) into 0 118.813 * [backup-simplify]: Simplify (+ 0 0) into 0 118.814 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 118.814 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 118.815 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 118.816 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 118.816 * [backup-simplify]: Simplify (+ 0 0) into 0 118.816 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 118.817 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 118.818 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 118.819 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2))))) into 0 118.819 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 118.820 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 118.820 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 118.821 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 118.821 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 118.821 * [backup-simplify]: Simplify (- 0) into 0 118.822 * [backup-simplify]: Simplify (+ 0 0) into 0 118.822 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 3))))) into 0 118.822 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (* -1 (/ (cos (/ -1/2 K)) J)) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 118.823 * [backup-simplify]: Simplify (+ (* (* -1 (/ (cos (/ -1/2 K)) J)) 0) (+ (* 0 (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0 118.824 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (- (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 -1/2)))) into 0 118.824 * [taylor]: Taking taylor expansion of 0 in K 118.824 * [backup-simplify]: Simplify 0 into 0 118.824 * [taylor]: Taking taylor expansion of 0 in J 118.824 * [backup-simplify]: Simplify 0 into 0 118.824 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 118.824 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 118.824 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 118.825 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) into 0 118.825 * [taylor]: Taking taylor expansion of 0 in J 118.825 * [backup-simplify]: Simplify 0 into 0 118.825 * [taylor]: Taking taylor expansion of 0 in J 118.825 * [backup-simplify]: Simplify 0 into 0 118.825 * [taylor]: Taking taylor expansion of 0 in J 118.825 * [backup-simplify]: Simplify 0 into 0 118.825 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 118.826 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 118.826 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 118.826 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 118.827 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 118.827 * [backup-simplify]: Simplify (- 0) into 0 118.827 * [backup-simplify]: Simplify (+ 0 0) into 0 118.827 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 118.828 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 118.830 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 118.831 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0 118.831 * [backup-simplify]: Simplify 0 into 0 118.831 * [backup-simplify]: Simplify 0 into 0 118.831 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U) 118.831 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2) 118.831 * [backup-simplify]: Simplify (cbrt J) into (pow J 1/3) 118.831 * [approximate]: Taking taylor expansion of (pow J 1/3) in (J) around 0 118.831 * [taylor]: Taking taylor expansion of (pow J 1/3) in J 118.831 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log J))) in J 118.831 * [taylor]: Taking taylor expansion of (* 1/3 (log J)) in J 118.831 * [taylor]: Taking taylor expansion of 1/3 in J 118.831 * [backup-simplify]: Simplify 1/3 into 1/3 118.831 * [taylor]: Taking taylor expansion of (log J) in J 118.831 * [taylor]: Taking taylor expansion of J in J 118.831 * [backup-simplify]: Simplify 0 into 0 118.831 * [backup-simplify]: Simplify 1 into 1 118.832 * [backup-simplify]: Simplify (log 1) into 0 118.832 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 118.832 * [backup-simplify]: Simplify (* 1/3 (log J)) into (* 1/3 (log J)) 118.832 * [backup-simplify]: Simplify (exp (* 1/3 (log J))) into (pow J 1/3) 118.832 * [taylor]: Taking taylor expansion of (pow J 1/3) in J 118.833 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log J))) in J 118.833 * [taylor]: Taking taylor expansion of (* 1/3 (log J)) in J 118.833 * [taylor]: Taking taylor expansion of 1/3 in J 118.833 * [backup-simplify]: Simplify 1/3 into 1/3 118.833 * [taylor]: Taking taylor expansion of (log J) in J 118.833 * [taylor]: Taking taylor expansion of J in J 118.833 * [backup-simplify]: Simplify 0 into 0 118.833 * [backup-simplify]: Simplify 1 into 1 118.833 * [backup-simplify]: Simplify (log 1) into 0 118.834 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 118.834 * [backup-simplify]: Simplify (* 1/3 (log J)) into (* 1/3 (log J)) 118.834 * [backup-simplify]: Simplify (exp (* 1/3 (log J))) into (pow J 1/3) 118.834 * [backup-simplify]: Simplify (pow J 1/3) into (pow J 1/3) 118.835 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 118.836 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 118.836 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log J))) into 0 118.837 * [backup-simplify]: Simplify (* (exp (* 1/3 (log J))) (+ (* (/ (pow 0 1) 1)))) into 0 118.837 * [backup-simplify]: Simplify 0 into 0 118.840 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 118.840 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 118.841 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log J)))) into 0 118.843 * [backup-simplify]: Simplify (* (exp (* 1/3 (log J))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 118.843 * [backup-simplify]: Simplify 0 into 0 118.846 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 118.846 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 118.847 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log J))))) into 0 118.848 * [backup-simplify]: Simplify (* (exp (* 1/3 (log J))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 118.848 * [backup-simplify]: Simplify 0 into 0 118.854 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 118.854 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 118.855 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log J)))))) into 0 118.857 * [backup-simplify]: Simplify (* (exp (* 1/3 (log J))) (+ (* (/ (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 0 118.857 * [backup-simplify]: Simplify 0 into 0 118.866 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 118.867 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 118.868 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log J))))))) into 0 118.870 * [backup-simplify]: Simplify (* (exp (* 1/3 (log J))) (+ (* (/ (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 0 118.870 * [backup-simplify]: Simplify 0 into 0 118.895 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 118.896 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 118.897 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log J)))))))) into 0 118.900 * [backup-simplify]: Simplify (* (exp (* 1/3 (log J))) (+ (* (/ (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 0 118.900 * [backup-simplify]: Simplify 0 into 0 118.900 * [backup-simplify]: Simplify (pow J 1/3) into (pow J 1/3) 118.900 * [backup-simplify]: Simplify (cbrt (/ 1 J)) into (pow (/ 1 J) 1/3) 118.900 * [approximate]: Taking taylor expansion of (pow (/ 1 J) 1/3) in (J) around 0 118.900 * [taylor]: Taking taylor expansion of (pow (/ 1 J) 1/3) in J 118.900 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 J)))) in J 118.900 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 J))) in J 118.900 * [taylor]: Taking taylor expansion of 1/3 in J 118.900 * [backup-simplify]: Simplify 1/3 into 1/3 118.900 * [taylor]: Taking taylor expansion of (log (/ 1 J)) in J 118.900 * [taylor]: Taking taylor expansion of (/ 1 J) in J 118.900 * [taylor]: Taking taylor expansion of J in J 118.900 * [backup-simplify]: Simplify 0 into 0 118.900 * [backup-simplify]: Simplify 1 into 1 118.901 * [backup-simplify]: Simplify (/ 1 1) into 1 118.901 * [backup-simplify]: Simplify (log 1) into 0 118.901 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 118.901 * [backup-simplify]: Simplify (* 1/3 (- (log J))) into (* -1/3 (log J)) 118.901 * [backup-simplify]: Simplify (exp (* -1/3 (log J))) into (pow J -1/3) 118.901 * [taylor]: Taking taylor expansion of (pow (/ 1 J) 1/3) in J 118.901 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 J)))) in J 118.901 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 J))) in J 118.901 * [taylor]: Taking taylor expansion of 1/3 in J 118.901 * [backup-simplify]: Simplify 1/3 into 1/3 118.901 * [taylor]: Taking taylor expansion of (log (/ 1 J)) in J 118.901 * [taylor]: Taking taylor expansion of (/ 1 J) in J 118.902 * [taylor]: Taking taylor expansion of J in J 118.902 * [backup-simplify]: Simplify 0 into 0 118.902 * [backup-simplify]: Simplify 1 into 1 118.902 * [backup-simplify]: Simplify (/ 1 1) into 1 118.902 * [backup-simplify]: Simplify (log 1) into 0 118.902 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 118.902 * [backup-simplify]: Simplify (* 1/3 (- (log J))) into (* -1/3 (log J)) 118.902 * [backup-simplify]: Simplify (exp (* -1/3 (log J))) into (pow J -1/3) 118.902 * [backup-simplify]: Simplify (pow J -1/3) into (pow J -1/3) 118.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 118.904 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 118.904 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 118.904 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log J)))) into 0 118.905 * [backup-simplify]: Simplify (* (exp (* -1/3 (log J))) (+ (* (/ (pow 0 1) 1)))) into 0 118.905 * [backup-simplify]: Simplify 0 into 0 118.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 118.907 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 118.907 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 118.908 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log J))))) into 0 118.908 * [backup-simplify]: Simplify (* (exp (* -1/3 (log J))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 118.908 * [backup-simplify]: Simplify 0 into 0 118.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 118.916 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 118.917 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 118.918 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log J)))))) into 0 118.918 * [backup-simplify]: Simplify (* (exp (* -1/3 (log J))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 118.918 * [backup-simplify]: Simplify 0 into 0 118.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 118.930 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 118.930 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 118.932 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log J))))))) into 0 118.935 * [backup-simplify]: Simplify (* (exp (* -1/3 (log J))) (+ (* (/ (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 0 118.935 * [backup-simplify]: Simplify 0 into 0 118.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 118.946 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 118.946 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 118.947 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log J)))))))) into 0 118.950 * [backup-simplify]: Simplify (* (exp (* -1/3 (log J))) (+ (* (/ (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 0 118.950 * [backup-simplify]: Simplify 0 into 0 118.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 118.968 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 118.968 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 118.970 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log J))))))))) into 0 118.974 * [backup-simplify]: Simplify (* (exp (* -1/3 (log J))) (+ (* (/ (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 0 118.974 * [backup-simplify]: Simplify 0 into 0 118.974 * [backup-simplify]: Simplify (pow (/ 1 J) -1/3) into (pow (/ 1 J) -1/3) 118.974 * [backup-simplify]: Simplify (cbrt (/ 1 (- J))) into (* (pow (/ 1 J) 1/3) (cbrt -1)) 118.974 * [approximate]: Taking taylor expansion of (* (pow (/ 1 J) 1/3) (cbrt -1)) in (J) around 0 118.974 * [taylor]: Taking taylor expansion of (* (pow (/ 1 J) 1/3) (cbrt -1)) in J 118.974 * [taylor]: Taking taylor expansion of (pow (/ 1 J) 1/3) in J 118.975 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 J)))) in J 118.975 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 J))) in J 118.975 * [taylor]: Taking taylor expansion of 1/3 in J 118.975 * [backup-simplify]: Simplify 1/3 into 1/3 118.975 * [taylor]: Taking taylor expansion of (log (/ 1 J)) in J 118.975 * [taylor]: Taking taylor expansion of (/ 1 J) in J 118.975 * [taylor]: Taking taylor expansion of J in J 118.975 * [backup-simplify]: Simplify 0 into 0 118.975 * [backup-simplify]: Simplify 1 into 1 118.975 * [backup-simplify]: Simplify (/ 1 1) into 1 118.976 * [backup-simplify]: Simplify (log 1) into 0 118.976 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 118.976 * [backup-simplify]: Simplify (* 1/3 (- (log J))) into (* -1/3 (log J)) 118.976 * [backup-simplify]: Simplify (exp (* -1/3 (log J))) into (pow J -1/3) 118.976 * [taylor]: Taking taylor expansion of (cbrt -1) in J 118.976 * [taylor]: Taking taylor expansion of -1 in J 118.976 * [backup-simplify]: Simplify -1 into -1 118.977 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 118.977 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 118.977 * [taylor]: Taking taylor expansion of (* (pow (/ 1 J) 1/3) (cbrt -1)) in J 118.977 * [taylor]: Taking taylor expansion of (pow (/ 1 J) 1/3) in J 118.978 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 J)))) in J 118.978 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 J))) in J 118.978 * [taylor]: Taking taylor expansion of 1/3 in J 118.978 * [backup-simplify]: Simplify 1/3 into 1/3 118.978 * [taylor]: Taking taylor expansion of (log (/ 1 J)) in J 118.978 * [taylor]: Taking taylor expansion of (/ 1 J) in J 118.978 * [taylor]: Taking taylor expansion of J in J 118.978 * [backup-simplify]: Simplify 0 into 0 118.978 * [backup-simplify]: Simplify 1 into 1 118.978 * [backup-simplify]: Simplify (/ 1 1) into 1 118.979 * [backup-simplify]: Simplify (log 1) into 0 118.979 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 118.979 * [backup-simplify]: Simplify (* 1/3 (- (log J))) into (* -1/3 (log J)) 118.979 * [backup-simplify]: Simplify (exp (* -1/3 (log J))) into (pow J -1/3) 118.979 * [taylor]: Taking taylor expansion of (cbrt -1) in J 118.979 * [taylor]: Taking taylor expansion of -1 in J 118.979 * [backup-simplify]: Simplify -1 into -1 118.980 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 118.980 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 118.981 * [backup-simplify]: Simplify (* (pow J -1/3) (cbrt -1)) into (* (pow (/ 1 J) 1/3) (cbrt -1)) 118.982 * [backup-simplify]: Simplify (* (pow (/ 1 J) 1/3) (cbrt -1)) into (* (pow (/ 1 J) 1/3) (cbrt -1)) 118.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 118.984 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 118.985 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 118.985 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log J)))) into 0 118.986 * [backup-simplify]: Simplify (* (exp (* -1/3 (log J))) (+ (* (/ (pow 0 1) 1)))) into 0 118.987 * [backup-simplify]: Simplify (+ (* (pow J -1/3) 0) (* 0 (cbrt -1))) into 0 118.987 * [backup-simplify]: Simplify 0 into 0 118.988 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 118.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 118.992 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 118.993 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 118.994 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log J))))) into 0 118.995 * [backup-simplify]: Simplify (* (exp (* -1/3 (log J))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 118.997 * [backup-simplify]: Simplify (+ (* (pow J -1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 118.997 * [backup-simplify]: Simplify 0 into 0 118.999 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 119.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 119.006 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 119.006 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 119.007 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log J)))))) into 0 119.009 * [backup-simplify]: Simplify (* (exp (* -1/3 (log J))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 119.010 * [backup-simplify]: Simplify (+ (* (pow J -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 119.010 * [backup-simplify]: Simplify 0 into 0 119.012 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 119.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 119.024 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 119.025 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 119.027 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log J))))))) into 0 119.029 * [backup-simplify]: Simplify (* (exp (* -1/3 (log J))) (+ (* (/ (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 0 119.037 * [backup-simplify]: Simplify (+ (* (pow J -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0 119.037 * [backup-simplify]: Simplify 0 into 0 119.039 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 119.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 119.059 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 119.059 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 119.061 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log J)))))))) into 0 119.066 * [backup-simplify]: Simplify (* (exp (* -1/3 (log J))) (+ (* (/ (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 0 119.067 * [backup-simplify]: Simplify (+ (* (pow J -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0 119.067 * [backup-simplify]: Simplify 0 into 0 119.069 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 119.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 119.102 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 119.102 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 119.105 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log J))))))))) into 0 119.111 * [backup-simplify]: Simplify (* (exp (* -1/3 (log J))) (+ (* (/ (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 0 119.113 * [backup-simplify]: Simplify (+ (* (pow J -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0 119.113 * [backup-simplify]: Simplify 0 into 0 119.113 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- J))) 1/3) (cbrt -1)) into (* (pow (* J -1) 1/3) (cbrt -1)) 119.113 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 119.114 * [backup-simplify]: Simplify (cbrt (* (cos (/ K 2)) J)) into (pow (* (cos (* 1/2 K)) J) 1/3) 119.114 * [approximate]: Taking taylor expansion of (pow (* (cos (* 1/2 K)) J) 1/3) in (K J) around 0 119.114 * [taylor]: Taking taylor expansion of (pow (* (cos (* 1/2 K)) J) 1/3) in J 119.114 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (cos (* 1/2 K)) J)))) in J 119.114 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (cos (* 1/2 K)) J))) in J 119.114 * [taylor]: Taking taylor expansion of 1/3 in J 119.114 * [backup-simplify]: Simplify 1/3 into 1/3 119.114 * [taylor]: Taking taylor expansion of (log (* (cos (* 1/2 K)) J)) in J 119.114 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 119.114 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 119.114 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 119.114 * [taylor]: Taking taylor expansion of 1/2 in J 119.114 * [backup-simplify]: Simplify 1/2 into 1/2 119.114 * [taylor]: Taking taylor expansion of K in J 119.114 * [backup-simplify]: Simplify K into K 119.114 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 119.114 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 119.114 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 119.114 * [taylor]: Taking taylor expansion of J in J 119.114 * [backup-simplify]: Simplify 0 into 0 119.114 * [backup-simplify]: Simplify 1 into 1 119.114 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 119.114 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 119.115 * [backup-simplify]: Simplify (- 0) into 0 119.115 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 119.115 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 119.115 * [backup-simplify]: Simplify (+ 0) into 0 119.116 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 119.116 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 119.117 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 119.117 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 119.118 * [backup-simplify]: Simplify (- 0) into 0 119.118 * [backup-simplify]: Simplify (+ 0 0) into 0 119.119 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 119.119 * [backup-simplify]: Simplify (log (cos (* 1/2 K))) into (log (cos (* 1/2 K))) 119.119 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) (log (cos (* 1/2 K)))) into (+ (log J) (log (cos (* 1/2 K)))) 119.119 * [backup-simplify]: Simplify (* 1/3 (+ (log J) (log (cos (* 1/2 K))))) into (* 1/3 (+ (log J) (log (cos (* 1/2 K))))) 119.120 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log J) (log (cos (* 1/2 K)))))) into (exp (* 1/3 (+ (log J) (log (cos (* 1/2 K)))))) 119.120 * [taylor]: Taking taylor expansion of (pow (* (cos (* 1/2 K)) J) 1/3) in K 119.120 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (cos (* 1/2 K)) J)))) in K 119.120 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (cos (* 1/2 K)) J))) in K 119.120 * [taylor]: Taking taylor expansion of 1/3 in K 119.120 * [backup-simplify]: Simplify 1/3 into 1/3 119.120 * [taylor]: Taking taylor expansion of (log (* (cos (* 1/2 K)) J)) in K 119.120 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 119.120 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 119.120 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 119.120 * [taylor]: Taking taylor expansion of 1/2 in K 119.120 * [backup-simplify]: Simplify 1/2 into 1/2 119.120 * [taylor]: Taking taylor expansion of K in K 119.120 * [backup-simplify]: Simplify 0 into 0 119.120 * [backup-simplify]: Simplify 1 into 1 119.120 * [backup-simplify]: Simplify (* 1/2 0) into 0 119.121 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 119.121 * [taylor]: Taking taylor expansion of J in K 119.121 * [backup-simplify]: Simplify J into J 119.121 * [backup-simplify]: Simplify (* 1 J) into J 119.121 * [backup-simplify]: Simplify (log J) into (log J) 119.121 * [backup-simplify]: Simplify (* 1/3 (log J)) into (* 1/3 (log J)) 119.121 * [backup-simplify]: Simplify (exp (* 1/3 (log J))) into (pow J 1/3) 119.121 * [taylor]: Taking taylor expansion of (pow (* (cos (* 1/2 K)) J) 1/3) in K 119.121 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (cos (* 1/2 K)) J)))) in K 119.121 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (cos (* 1/2 K)) J))) in K 119.122 * [taylor]: Taking taylor expansion of 1/3 in K 119.122 * [backup-simplify]: Simplify 1/3 into 1/3 119.122 * [taylor]: Taking taylor expansion of (log (* (cos (* 1/2 K)) J)) in K 119.122 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 119.122 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 119.122 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 119.122 * [taylor]: Taking taylor expansion of 1/2 in K 119.122 * [backup-simplify]: Simplify 1/2 into 1/2 119.122 * [taylor]: Taking taylor expansion of K in K 119.122 * [backup-simplify]: Simplify 0 into 0 119.122 * [backup-simplify]: Simplify 1 into 1 119.122 * [backup-simplify]: Simplify (* 1/2 0) into 0 119.123 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 119.123 * [taylor]: Taking taylor expansion of J in K 119.123 * [backup-simplify]: Simplify J into J 119.123 * [backup-simplify]: Simplify (* 1 J) into J 119.123 * [backup-simplify]: Simplify (log J) into (log J) 119.123 * [backup-simplify]: Simplify (* 1/3 (log J)) into (* 1/3 (log J)) 119.123 * [backup-simplify]: Simplify (exp (* 1/3 (log J))) into (pow J 1/3) 119.123 * [taylor]: Taking taylor expansion of (pow J 1/3) in J 119.123 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log J))) in J 119.123 * [taylor]: Taking taylor expansion of (* 1/3 (log J)) in J 119.123 * [taylor]: Taking taylor expansion of 1/3 in J 119.123 * [backup-simplify]: Simplify 1/3 into 1/3 119.123 * [taylor]: Taking taylor expansion of (log J) in J 119.123 * [taylor]: Taking taylor expansion of J in J 119.123 * [backup-simplify]: Simplify 0 into 0 119.123 * [backup-simplify]: Simplify 1 into 1 119.124 * [backup-simplify]: Simplify (log 1) into 0 119.125 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 119.125 * [backup-simplify]: Simplify (* 1/3 (log J)) into (* 1/3 (log J)) 119.125 * [backup-simplify]: Simplify (exp (* 1/3 (log J))) into (pow J 1/3) 119.125 * [backup-simplify]: Simplify (pow J 1/3) into (pow J 1/3) 119.125 * [backup-simplify]: Simplify (+ 0) into 0 119.126 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 119.126 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 119.127 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log J))) into 0 119.128 * [backup-simplify]: Simplify (* (exp (* 1/3 (log J))) (+ (* (/ (pow 0 1) 1)))) into 0 119.128 * [taylor]: Taking taylor expansion of 0 in J 119.128 * [backup-simplify]: Simplify 0 into 0 119.128 * [backup-simplify]: Simplify 0 into 0 119.129 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 119.130 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 119.130 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log J))) into 0 119.131 * [backup-simplify]: Simplify (* (exp (* 1/3 (log J))) (+ (* (/ (pow 0 1) 1)))) into 0 119.131 * [backup-simplify]: Simplify 0 into 0 119.132 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 119.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J)) 119.134 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow J 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/8 J))) 1)) (pow J 1)))) 2) into -1/8 119.135 * [backup-simplify]: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 (log J)))) into (- 1/24) 119.136 * [backup-simplify]: Simplify (* (exp (* 1/3 (log J))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- 1/24) 1) 1)))) into (* -1/24 (pow J 1/3)) 119.136 * [taylor]: Taking taylor expansion of (* -1/24 (pow J 1/3)) in J 119.136 * [taylor]: Taking taylor expansion of -1/24 in J 119.136 * [backup-simplify]: Simplify -1/24 into -1/24 119.137 * [taylor]: Taking taylor expansion of (pow J 1/3) in J 119.137 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log J))) in J 119.137 * [taylor]: Taking taylor expansion of (* 1/3 (log J)) in J 119.137 * [taylor]: Taking taylor expansion of 1/3 in J 119.137 * [backup-simplify]: Simplify 1/3 into 1/3 119.137 * [taylor]: Taking taylor expansion of (log J) in J 119.137 * [taylor]: Taking taylor expansion of J in J 119.137 * [backup-simplify]: Simplify 0 into 0 119.137 * [backup-simplify]: Simplify 1 into 1 119.137 * [backup-simplify]: Simplify (log 1) into 0 119.138 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 119.138 * [backup-simplify]: Simplify (* 1/3 (log J)) into (* 1/3 (log J)) 119.138 * [backup-simplify]: Simplify (exp (* 1/3 (log J))) into (pow J 1/3) 119.138 * [backup-simplify]: Simplify (* -1/24 (pow J 1/3)) into (* -1/24 (pow J 1/3)) 119.138 * [backup-simplify]: Simplify (* -1/24 (pow J 1/3)) into (* -1/24 (pow J 1/3)) 119.138 * [backup-simplify]: Simplify 0 into 0 119.141 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 119.142 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 119.142 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log J)))) into 0 119.144 * [backup-simplify]: Simplify (* (exp (* 1/3 (log J))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 119.144 * [backup-simplify]: Simplify 0 into 0 119.145 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 119.146 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 119.147 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0 119.150 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow J 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 1/8 J))) 1)) (pow J 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow J 1)))) 6) into 0 119.151 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 (log J))))) into 0 119.154 * [backup-simplify]: Simplify (* (exp (* 1/3 (log J))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- 1/24) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 119.154 * [taylor]: Taking taylor expansion of 0 in J 119.154 * [backup-simplify]: Simplify 0 into 0 119.154 * [backup-simplify]: Simplify 0 into 0 119.155 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 119.156 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 119.156 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log J))) into 0 119.157 * [backup-simplify]: Simplify (* (exp (* 1/3 (log J))) (+ (* (/ (pow 0 1) 1)))) into 0 119.157 * [backup-simplify]: Simplify (+ (* -1/24 0) (* 0 (pow J 1/3))) into 0 119.157 * [backup-simplify]: Simplify 0 into 0 119.158 * [backup-simplify]: Simplify 0 into 0 119.163 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 119.163 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 119.165 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log J))))) into 0 119.166 * [backup-simplify]: Simplify (* (exp (* 1/3 (log J))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 119.166 * [backup-simplify]: Simplify 0 into 0 119.167 * [backup-simplify]: Simplify (+ (* (* -1/24 (pow J 1/3)) (pow (* 1 K) 2)) (pow J 1/3)) into (- (pow J 1/3) (* 1/24 (* (pow K 2) (pow J 1/3)))) 119.167 * [backup-simplify]: Simplify (cbrt (* (cos (/ (/ 1 K) 2)) (/ 1 J))) into (pow (/ (cos (/ 1/2 K)) J) 1/3) 119.167 * [approximate]: Taking taylor expansion of (pow (/ (cos (/ 1/2 K)) J) 1/3) in (K J) around 0 119.167 * [taylor]: Taking taylor expansion of (pow (/ (cos (/ 1/2 K)) J) 1/3) in J 119.167 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (cos (/ 1/2 K)) J)))) in J 119.167 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (cos (/ 1/2 K)) J))) in J 119.167 * [taylor]: Taking taylor expansion of 1/3 in J 119.167 * [backup-simplify]: Simplify 1/3 into 1/3 119.167 * [taylor]: Taking taylor expansion of (log (/ (cos (/ 1/2 K)) J)) in J 119.167 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 119.167 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 119.167 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 119.167 * [taylor]: Taking taylor expansion of 1/2 in J 119.167 * [backup-simplify]: Simplify 1/2 into 1/2 119.167 * [taylor]: Taking taylor expansion of K in J 119.167 * [backup-simplify]: Simplify K into K 119.167 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 119.168 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 119.168 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 119.168 * [taylor]: Taking taylor expansion of J in J 119.168 * [backup-simplify]: Simplify 0 into 0 119.168 * [backup-simplify]: Simplify 1 into 1 119.168 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 119.168 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 119.168 * [backup-simplify]: Simplify (- 0) into 0 119.168 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 119.168 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 119.169 * [backup-simplify]: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) 119.169 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) (log (cos (/ 1/2 K)))) into (- (log (cos (/ 1/2 K))) (log J)) 119.169 * [backup-simplify]: Simplify (* 1/3 (- (log (cos (/ 1/2 K))) (log J))) into (* 1/3 (- (log (cos (/ 1/2 K))) (log J))) 119.169 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (cos (/ 1/2 K))) (log J)))) into (exp (* 1/3 (- (log (cos (/ 1/2 K))) (log J)))) 119.169 * [taylor]: Taking taylor expansion of (pow (/ (cos (/ 1/2 K)) J) 1/3) in K 119.169 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (cos (/ 1/2 K)) J)))) in K 119.169 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (cos (/ 1/2 K)) J))) in K 119.170 * [taylor]: Taking taylor expansion of 1/3 in K 119.170 * [backup-simplify]: Simplify 1/3 into 1/3 119.170 * [taylor]: Taking taylor expansion of (log (/ (cos (/ 1/2 K)) J)) in K 119.170 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 119.170 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 119.170 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 119.170 * [taylor]: Taking taylor expansion of 1/2 in K 119.170 * [backup-simplify]: Simplify 1/2 into 1/2 119.170 * [taylor]: Taking taylor expansion of K in K 119.170 * [backup-simplify]: Simplify 0 into 0 119.170 * [backup-simplify]: Simplify 1 into 1 119.170 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 119.170 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 119.170 * [taylor]: Taking taylor expansion of J in K 119.170 * [backup-simplify]: Simplify J into J 119.170 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 119.171 * [backup-simplify]: Simplify (log (/ (cos (/ 1/2 K)) J)) into (log (/ (cos (/ 1/2 K)) J)) 119.171 * [backup-simplify]: Simplify (* 1/3 (log (/ (cos (/ 1/2 K)) J))) into (* 1/3 (log (/ (cos (/ 1/2 K)) J))) 119.171 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ (cos (/ 1/2 K)) J)))) into (pow (/ (cos (/ 1/2 K)) J) 1/3) 119.171 * [taylor]: Taking taylor expansion of (pow (/ (cos (/ 1/2 K)) J) 1/3) in K 119.171 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (cos (/ 1/2 K)) J)))) in K 119.171 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (cos (/ 1/2 K)) J))) in K 119.171 * [taylor]: Taking taylor expansion of 1/3 in K 119.171 * [backup-simplify]: Simplify 1/3 into 1/3 119.171 * [taylor]: Taking taylor expansion of (log (/ (cos (/ 1/2 K)) J)) in K 119.171 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 119.171 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 119.171 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 119.171 * [taylor]: Taking taylor expansion of 1/2 in K 119.171 * [backup-simplify]: Simplify 1/2 into 1/2 119.171 * [taylor]: Taking taylor expansion of K in K 119.171 * [backup-simplify]: Simplify 0 into 0 119.171 * [backup-simplify]: Simplify 1 into 1 119.172 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 119.172 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 119.172 * [taylor]: Taking taylor expansion of J in K 119.172 * [backup-simplify]: Simplify J into J 119.172 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 119.172 * [backup-simplify]: Simplify (log (/ (cos (/ 1/2 K)) J)) into (log (/ (cos (/ 1/2 K)) J)) 119.172 * [backup-simplify]: Simplify (* 1/3 (log (/ (cos (/ 1/2 K)) J))) into (* 1/3 (log (/ (cos (/ 1/2 K)) J))) 119.172 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ (cos (/ 1/2 K)) J)))) into (pow (/ (cos (/ 1/2 K)) J) 1/3) 119.172 * [taylor]: Taking taylor expansion of (pow (/ (cos (/ 1/2 K)) J) 1/3) in J 119.172 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (cos (/ 1/2 K)) J)))) in J 119.172 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (cos (/ 1/2 K)) J))) in J 119.172 * [taylor]: Taking taylor expansion of 1/3 in J 119.172 * [backup-simplify]: Simplify 1/3 into 1/3 119.172 * [taylor]: Taking taylor expansion of (log (/ (cos (/ 1/2 K)) J)) in J 119.172 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 119.173 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 119.173 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 119.173 * [taylor]: Taking taylor expansion of 1/2 in J 119.173 * [backup-simplify]: Simplify 1/2 into 1/2 119.173 * [taylor]: Taking taylor expansion of K in J 119.173 * [backup-simplify]: Simplify K into K 119.173 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 119.173 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 119.173 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 119.173 * [taylor]: Taking taylor expansion of J in J 119.173 * [backup-simplify]: Simplify 0 into 0 119.173 * [backup-simplify]: Simplify 1 into 1 119.173 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 119.173 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 119.173 * [backup-simplify]: Simplify (- 0) into 0 119.174 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 119.174 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 119.174 * [backup-simplify]: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) 119.174 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) (log (cos (/ 1/2 K)))) into (- (log (cos (/ 1/2 K))) (log J)) 119.175 * [backup-simplify]: Simplify (* 1/3 (- (log (cos (/ 1/2 K))) (log J))) into (* 1/3 (- (log (cos (/ 1/2 K))) (log J))) 119.175 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (cos (/ 1/2 K))) (log J)))) into (exp (* 1/3 (- (log (cos (/ 1/2 K))) (log J)))) 119.175 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (cos (/ 1/2 K))) (log J)))) into (exp (* 1/3 (- (log (cos (/ 1/2 K))) (log J)))) 119.175 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 119.176 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (cos (/ 1/2 K)) J) 1)))) 1) into 0 119.177 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ (cos (/ 1/2 K)) J)))) into 0 119.178 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ (cos (/ 1/2 K)) J)))) (+ (* (/ (pow 0 1) 1)))) into 0 119.178 * [taylor]: Taking taylor expansion of 0 in J 119.178 * [backup-simplify]: Simplify 0 into 0 119.178 * [backup-simplify]: Simplify 0 into 0 119.178 * [backup-simplify]: Simplify (+ 0) into 0 119.179 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 119.179 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 119.180 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 119.180 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 119.181 * [backup-simplify]: Simplify (- 0) into 0 119.181 * [backup-simplify]: Simplify (+ 0 0) into 0 119.182 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 119.183 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 1) into 0 119.183 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) (log (cos (/ 1/2 K)))) into (- (log (cos (/ 1/2 K))) (log J)) 119.184 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (cos (/ 1/2 K))) (log J)))) into 0 119.185 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (cos (/ 1/2 K))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 119.185 * [backup-simplify]: Simplify 0 into 0 119.185 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 119.187 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ (cos (/ 1/2 K)) J) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ (cos (/ 1/2 K)) J) 1)))) 2) into 0 119.188 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ (cos (/ 1/2 K)) J))))) into 0 119.592 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ (cos (/ 1/2 K)) J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 119.592 * [taylor]: Taking taylor expansion of 0 in J 119.593 * [backup-simplify]: Simplify 0 into 0 119.593 * [backup-simplify]: Simplify 0 into 0 119.593 * [backup-simplify]: Simplify 0 into 0 119.594 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 119.594 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 119.594 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 119.595 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 119.596 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 119.596 * [backup-simplify]: Simplify (- 0) into 0 119.596 * [backup-simplify]: Simplify (+ 0 0) into 0 119.597 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 119.598 * [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 0 119.599 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) (log (cos (/ 1/2 K)))) into (- (log (cos (/ 1/2 K))) (log J)) 119.599 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (cos (/ 1/2 K))) (log J))))) into 0 119.600 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (cos (/ 1/2 K))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 119.600 * [backup-simplify]: Simplify 0 into 0 119.601 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 119.603 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ (cos (/ 1/2 K)) J) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ (cos (/ 1/2 K)) J) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ (cos (/ 1/2 K)) J) 1)))) 6) into 0 119.604 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (cos (/ 1/2 K)) J)))))) into 0 119.605 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ (cos (/ 1/2 K)) J)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 119.605 * [taylor]: Taking taylor expansion of 0 in J 119.605 * [backup-simplify]: Simplify 0 into 0 119.605 * [backup-simplify]: Simplify 0 into 0 119.605 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (cos (/ 1/2 (/ 1 K)))) (log (/ 1 J))))) into (exp (* 1/3 (- (log (cos (* 1/2 K))) (log (/ 1 J))))) 119.605 * [backup-simplify]: Simplify (cbrt (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))) into (* (pow (/ (cos (/ -1/2 K)) J) 1/3) (cbrt -1)) 119.605 * [approximate]: Taking taylor expansion of (* (pow (/ (cos (/ -1/2 K)) J) 1/3) (cbrt -1)) in (K J) around 0 119.605 * [taylor]: Taking taylor expansion of (* (pow (/ (cos (/ -1/2 K)) J) 1/3) (cbrt -1)) in J 119.605 * [taylor]: Taking taylor expansion of (pow (/ (cos (/ -1/2 K)) J) 1/3) in J 119.605 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (cos (/ -1/2 K)) J)))) in J 119.605 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (cos (/ -1/2 K)) J))) in J 119.605 * [taylor]: Taking taylor expansion of 1/3 in J 119.605 * [backup-simplify]: Simplify 1/3 into 1/3 119.605 * [taylor]: Taking taylor expansion of (log (/ (cos (/ -1/2 K)) J)) in J 119.605 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 119.605 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 119.605 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 119.605 * [taylor]: Taking taylor expansion of -1/2 in J 119.605 * [backup-simplify]: Simplify -1/2 into -1/2 119.605 * [taylor]: Taking taylor expansion of K in J 119.605 * [backup-simplify]: Simplify K into K 119.605 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 119.605 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 119.605 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 119.605 * [taylor]: Taking taylor expansion of J in J 119.605 * [backup-simplify]: Simplify 0 into 0 119.605 * [backup-simplify]: Simplify 1 into 1 119.605 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 119.606 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 119.606 * [backup-simplify]: Simplify (- 0) into 0 119.606 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 119.606 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 119.606 * [backup-simplify]: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) 119.606 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) (log (cos (/ -1/2 K)))) into (- (log (cos (/ -1/2 K))) (log J)) 119.606 * [backup-simplify]: Simplify (* 1/3 (- (log (cos (/ -1/2 K))) (log J))) into (* 1/3 (- (log (cos (/ -1/2 K))) (log J))) 119.607 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (cos (/ -1/2 K))) (log J)))) into (exp (* 1/3 (- (log (cos (/ -1/2 K))) (log J)))) 119.607 * [taylor]: Taking taylor expansion of (cbrt -1) in J 119.607 * [taylor]: Taking taylor expansion of -1 in J 119.607 * [backup-simplify]: Simplify -1 into -1 119.607 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 119.607 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 119.607 * [taylor]: Taking taylor expansion of (* (pow (/ (cos (/ -1/2 K)) J) 1/3) (cbrt -1)) in K 119.607 * [taylor]: Taking taylor expansion of (pow (/ (cos (/ -1/2 K)) J) 1/3) in K 119.607 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (cos (/ -1/2 K)) J)))) in K 119.607 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (cos (/ -1/2 K)) J))) in K 119.607 * [taylor]: Taking taylor expansion of 1/3 in K 119.607 * [backup-simplify]: Simplify 1/3 into 1/3 119.607 * [taylor]: Taking taylor expansion of (log (/ (cos (/ -1/2 K)) J)) in K 119.607 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 119.608 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 119.608 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 119.608 * [taylor]: Taking taylor expansion of -1/2 in K 119.608 * [backup-simplify]: Simplify -1/2 into -1/2 119.608 * [taylor]: Taking taylor expansion of K in K 119.608 * [backup-simplify]: Simplify 0 into 0 119.608 * [backup-simplify]: Simplify 1 into 1 119.608 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 119.608 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 119.608 * [taylor]: Taking taylor expansion of J in K 119.608 * [backup-simplify]: Simplify J into J 119.608 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 119.608 * [backup-simplify]: Simplify (log (/ (cos (/ -1/2 K)) J)) into (log (/ (cos (/ -1/2 K)) J)) 119.608 * [backup-simplify]: Simplify (* 1/3 (log (/ (cos (/ -1/2 K)) J))) into (* 1/3 (log (/ (cos (/ -1/2 K)) J))) 119.608 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ (cos (/ -1/2 K)) J)))) into (pow (/ (cos (/ -1/2 K)) J) 1/3) 119.608 * [taylor]: Taking taylor expansion of (cbrt -1) in K 119.608 * [taylor]: Taking taylor expansion of -1 in K 119.608 * [backup-simplify]: Simplify -1 into -1 119.609 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 119.609 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 119.609 * [taylor]: Taking taylor expansion of (* (pow (/ (cos (/ -1/2 K)) J) 1/3) (cbrt -1)) in K 119.609 * [taylor]: Taking taylor expansion of (pow (/ (cos (/ -1/2 K)) J) 1/3) in K 119.609 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (cos (/ -1/2 K)) J)))) in K 119.609 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (cos (/ -1/2 K)) J))) in K 119.609 * [taylor]: Taking taylor expansion of 1/3 in K 119.609 * [backup-simplify]: Simplify 1/3 into 1/3 119.609 * [taylor]: Taking taylor expansion of (log (/ (cos (/ -1/2 K)) J)) in K 119.609 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 119.609 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 119.609 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 119.609 * [taylor]: Taking taylor expansion of -1/2 in K 119.609 * [backup-simplify]: Simplify -1/2 into -1/2 119.609 * [taylor]: Taking taylor expansion of K in K 119.609 * [backup-simplify]: Simplify 0 into 0 119.609 * [backup-simplify]: Simplify 1 into 1 119.610 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 119.610 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 119.610 * [taylor]: Taking taylor expansion of J in K 119.610 * [backup-simplify]: Simplify J into J 119.610 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 119.610 * [backup-simplify]: Simplify (log (/ (cos (/ -1/2 K)) J)) into (log (/ (cos (/ -1/2 K)) J)) 119.610 * [backup-simplify]: Simplify (* 1/3 (log (/ (cos (/ -1/2 K)) J))) into (* 1/3 (log (/ (cos (/ -1/2 K)) J))) 119.610 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ (cos (/ -1/2 K)) J)))) into (pow (/ (cos (/ -1/2 K)) J) 1/3) 119.610 * [taylor]: Taking taylor expansion of (cbrt -1) in K 119.610 * [taylor]: Taking taylor expansion of -1 in K 119.610 * [backup-simplify]: Simplify -1 into -1 119.610 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 119.611 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 119.611 * [backup-simplify]: Simplify (* (pow (/ (cos (/ -1/2 K)) J) 1/3) (cbrt -1)) into (* (pow (/ (cos (/ -1/2 K)) J) 1/3) (cbrt -1)) 119.611 * [taylor]: Taking taylor expansion of (* (pow (/ (cos (/ -1/2 K)) J) 1/3) (cbrt -1)) in J 119.611 * [taylor]: Taking taylor expansion of (pow (/ (cos (/ -1/2 K)) J) 1/3) in J 119.611 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (cos (/ -1/2 K)) J)))) in J 119.611 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (cos (/ -1/2 K)) J))) in J 119.611 * [taylor]: Taking taylor expansion of 1/3 in J 119.611 * [backup-simplify]: Simplify 1/3 into 1/3 119.611 * [taylor]: Taking taylor expansion of (log (/ (cos (/ -1/2 K)) J)) in J 119.611 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 119.611 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 119.611 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 119.611 * [taylor]: Taking taylor expansion of -1/2 in J 119.612 * [backup-simplify]: Simplify -1/2 into -1/2 119.612 * [taylor]: Taking taylor expansion of K in J 119.612 * [backup-simplify]: Simplify K into K 119.612 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 119.612 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 119.612 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 119.612 * [taylor]: Taking taylor expansion of J in J 119.612 * [backup-simplify]: Simplify 0 into 0 119.612 * [backup-simplify]: Simplify 1 into 1 119.612 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 119.612 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 119.612 * [backup-simplify]: Simplify (- 0) into 0 119.612 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 119.612 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 119.612 * [backup-simplify]: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) 119.613 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) (log (cos (/ -1/2 K)))) into (- (log (cos (/ -1/2 K))) (log J)) 119.613 * [backup-simplify]: Simplify (* 1/3 (- (log (cos (/ -1/2 K))) (log J))) into (* 1/3 (- (log (cos (/ -1/2 K))) (log J))) 119.613 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (cos (/ -1/2 K))) (log J)))) into (exp (* 1/3 (- (log (cos (/ -1/2 K))) (log J)))) 119.613 * [taylor]: Taking taylor expansion of (cbrt -1) in J 119.613 * [taylor]: Taking taylor expansion of -1 in J 119.613 * [backup-simplify]: Simplify -1 into -1 119.613 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 119.614 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 119.614 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (cos (/ -1/2 K))) (log J)))) (cbrt -1)) into (* (cbrt -1) (exp (* 1/3 (- (log (cos (/ -1/2 K))) (log J))))) 119.614 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log (cos (/ -1/2 K))) (log J))))) into (* (cbrt -1) (exp (* 1/3 (- (log (cos (/ -1/2 K))) (log J))))) 119.615 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0 119.615 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (cos (/ -1/2 K)) J) 1)))) 1) into 0 119.615 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ (cos (/ -1/2 K)) J)))) into 0 119.616 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ (cos (/ -1/2 K)) J)))) (+ (* (/ (pow 0 1) 1)))) into 0 119.616 * [backup-simplify]: Simplify (+ (* (pow (/ (cos (/ -1/2 K)) J) 1/3) 0) (* 0 (cbrt -1))) into 0 119.616 * [taylor]: Taking taylor expansion of 0 in J 119.617 * [backup-simplify]: Simplify 0 into 0 119.617 * [backup-simplify]: Simplify 0 into 0 119.617 * [backup-simplify]: Simplify (+ 0) into 0 119.617 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 119.618 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 119.618 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 119.618 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 119.619 * [backup-simplify]: Simplify (- 0) into 0 119.619 * [backup-simplify]: Simplify (+ 0 0) into 0 119.620 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 119.620 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 1) into 0 119.621 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) (log (cos (/ -1/2 K)))) into (- (log (cos (/ -1/2 K))) (log J)) 119.621 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (cos (/ -1/2 K))) (log J)))) into 0 119.622 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (cos (/ -1/2 K))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 119.622 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log (cos (/ -1/2 K))) (log J)))) 0) (* 0 (cbrt -1))) into 0 119.622 * [backup-simplify]: Simplify 0 into 0 119.623 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 119.623 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 119.624 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ (cos (/ -1/2 K)) J) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ (cos (/ -1/2 K)) J) 1)))) 2) into 0 119.625 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ (cos (/ -1/2 K)) J))))) into 0 119.626 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ (cos (/ -1/2 K)) J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 119.626 * [backup-simplify]: Simplify (+ (* (pow (/ (cos (/ -1/2 K)) J) 1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 119.626 * [taylor]: Taking taylor expansion of 0 in J 119.626 * [backup-simplify]: Simplify 0 into 0 119.626 * [backup-simplify]: Simplify 0 into 0 119.626 * [backup-simplify]: Simplify 0 into 0 119.627 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 119.628 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 119.629 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 119.629 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 119.630 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 119.630 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 119.631 * [backup-simplify]: Simplify (- 0) into 0 119.631 * [backup-simplify]: Simplify (+ 0 0) into 0 119.633 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 119.634 * [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 0 119.635 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) (log (cos (/ -1/2 K)))) into (- (log (cos (/ -1/2 K))) (log J)) 119.636 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (cos (/ -1/2 K))) (log J))))) into 0 119.637 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (cos (/ -1/2 K))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 119.638 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log (cos (/ -1/2 K))) (log J)))) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 119.638 * [backup-simplify]: Simplify 0 into 0 119.640 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 119.640 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 119.644 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ (cos (/ -1/2 K)) J) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ (cos (/ -1/2 K)) J) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ (cos (/ -1/2 K)) J) 1)))) 6) into 0 119.645 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (cos (/ -1/2 K)) J)))))) into 0 119.647 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ (cos (/ -1/2 K)) J)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 119.648 * [backup-simplify]: Simplify (+ (* (pow (/ (cos (/ -1/2 K)) J) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 119.648 * [taylor]: Taking taylor expansion of 0 in J 119.648 * [backup-simplify]: Simplify 0 into 0 119.648 * [backup-simplify]: Simplify 0 into 0 119.649 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log (cos (/ -1/2 (/ 1 (- K))))) (log (/ 1 (- J))))))) into (* (exp (* 1/3 (- (log (cos (* 1/2 K))) (log (/ -1 J))))) (cbrt -1)) 119.649 * * * [progress]: simplifying candidates 119.649 * * * * [progress]: [ 1 / 93 ] simplifiying candidate # 119.649 * * * * [progress]: [ 2 / 93 ] simplifiying candidate # 119.649 * * * * [progress]: [ 3 / 93 ] simplifiying candidate # 119.649 * * * * [progress]: [ 4 / 93 ] simplifiying candidate # 119.649 * * * * [progress]: [ 5 / 93 ] simplifiying candidate # 119.649 * * * * [progress]: [ 6 / 93 ] simplifiying candidate # 119.649 * * * * [progress]: [ 7 / 93 ] simplifiying candidate # 119.650 * [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)))) 119.650 * * [simplify]: iters left: 6 (15 enodes) 119.658 * * [simplify]: iters left: 5 (59 enodes) 119.678 * * [simplify]: iters left: 4 (112 enodes) 119.713 * * [simplify]: iters left: 3 (365 enodes) 119.998 * * [simplify]: Extracting #0: cost 1 inf + 0 119.998 * * [simplify]: Extracting #1: cost 4 inf + 0 119.998 * * [simplify]: Extracting #2: cost 7 inf + 0 119.998 * * [simplify]: Extracting #3: cost 10 inf + 0 119.999 * * [simplify]: Extracting #4: cost 121 inf + 1 120.001 * * [simplify]: Extracting #5: cost 240 inf + 89 120.004 * * [simplify]: Extracting #6: cost 202 inf + 3666 120.012 * * [simplify]: Extracting #7: cost 127 inf + 17960 120.037 * * [simplify]: Extracting #8: cost 13 inf + 45665 120.067 * * [simplify]: Extracting #9: cost 0 inf + 48778 120.097 * [simplify]: Simplified to (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) 120.097 * [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)) J)) (cbrt (* (cos (/ K 2)) J))) (* (cbrt (cos (/ K 2))) (cbrt J))))) 120.098 * * * * [progress]: [ 8 / 93 ] simplifiying candidate # 120.098 * [simplify]: Simplifying (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) 120.098 * * [simplify]: iters left: 6 (14 enodes) 120.109 * * [simplify]: iters left: 5 (55 enodes) 120.128 * * [simplify]: iters left: 4 (108 enodes) 120.180 * * [simplify]: iters left: 3 (363 enodes) 120.407 * * [simplify]: Extracting #0: cost 1 inf + 0 120.407 * * [simplify]: Extracting #1: cost 3 inf + 0 120.407 * * [simplify]: Extracting #2: cost 5 inf + 0 120.407 * * [simplify]: Extracting #3: cost 8 inf + 0 120.408 * * [simplify]: Extracting #4: cost 123 inf + 1 120.409 * * [simplify]: Extracting #5: cost 233 inf + 420 120.411 * * [simplify]: Extracting #6: cost 202 inf + 3094 120.415 * * [simplify]: Extracting #7: cost 126 inf + 18949 120.429 * * [simplify]: Extracting #8: cost 7 inf + 46677 120.448 * * [simplify]: Extracting #9: cost 0 inf + 48049 120.466 * [simplify]: Simplified to (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 120.466 * [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)) J)) (cbrt (* (cos (/ K 2)) J))) (* (cbrt (cos (/ K 2))) (cbrt J))))) 120.466 * * * * [progress]: [ 9 / 93 ] simplifiying candidate # 120.467 * [simplify]: Simplifying (sqrt 1) 120.467 * * [simplify]: iters left: 1 (2 enodes) 120.470 * * [simplify]: Extracting #0: cost 1 inf + 0 120.470 * * [simplify]: Extracting #1: cost 0 inf + 1 120.470 * [simplify]: Simplified to 1 120.470 * [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)) J)) (cbrt (* (cos (/ K 2)) J))) (* (cbrt (cos (/ K 2))) (cbrt J))))) 120.470 * * * * [progress]: [ 10 / 93 ] simplifiying candidate # 120.470 * [simplify]: Simplifying (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3))) 120.471 * * [simplify]: iters left: 6 (16 enodes) 120.480 * * [simplify]: iters left: 5 (70 enodes) 120.500 * * [simplify]: iters left: 4 (176 enodes) 120.607 * * [simplify]: Extracting #0: cost 1 inf + 0 120.607 * * [simplify]: Extracting #1: cost 3 inf + 0 120.607 * * [simplify]: Extracting #2: cost 6 inf + 0 120.607 * * [simplify]: Extracting #3: cost 103 inf + 1 120.609 * * [simplify]: Extracting #4: cost 306 inf + 6 120.616 * * [simplify]: Extracting #5: cost 338 inf + 1810 120.624 * * [simplify]: Extracting #6: cost 242 inf + 27932 120.660 * * [simplify]: Extracting #7: cost 28 inf + 100762 120.705 * * [simplify]: Extracting #8: cost 0 inf + 110036 120.741 * [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))))))) 120.741 * [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)) J)) (cbrt (* (cos (/ K 2)) J))) (* (cbrt (cos (/ K 2))) (cbrt J))))) 120.742 * * * * [progress]: [ 11 / 93 ] simplifiying candidate # 120.742 * [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))) 120.742 * * [simplify]: iters left: 6 (15 enodes) 120.747 * * [simplify]: iters left: 5 (62 enodes) 120.761 * * [simplify]: iters left: 4 (150 enodes) 120.903 * * [simplify]: Extracting #0: cost 1 inf + 0 120.903 * * [simplify]: Extracting #1: cost 3 inf + 0 120.903 * * [simplify]: Extracting #2: cost 9 inf + 0 120.903 * * [simplify]: Extracting #3: cost 105 inf + 2 120.905 * * [simplify]: Extracting #4: cost 286 inf + 6 120.907 * * [simplify]: Extracting #5: cost 280 inf + 1923 120.916 * * [simplify]: Extracting #6: cost 190 inf + 25494 120.945 * * [simplify]: Extracting #7: cost 26 inf + 76271 120.980 * * [simplify]: Extracting #8: cost 0 inf + 85028 121.018 * [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)) 121.018 * [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)) J)) (cbrt (* (cos (/ K 2)) J))) (* (cbrt (cos (/ K 2))) (cbrt J))))) 121.018 * * * * [progress]: [ 12 / 93 ] simplifiying candidate # 121.019 * [simplify]: Simplifying (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 121.019 * * [simplify]: iters left: 6 (12 enodes) 121.026 * * [simplify]: iters left: 5 (49 enodes) 121.046 * * [simplify]: iters left: 4 (102 enodes) 121.098 * * [simplify]: iters left: 3 (356 enodes) 121.309 * * [simplify]: Extracting #0: cost 1 inf + 0 121.309 * * [simplify]: Extracting #1: cost 4 inf + 0 121.309 * * [simplify]: Extracting #2: cost 116 inf + 1 121.310 * * [simplify]: Extracting #3: cost 233 inf + 254 121.312 * * [simplify]: Extracting #4: cost 191 inf + 4198 121.316 * * [simplify]: Extracting #5: cost 121 inf + 19052 121.330 * * [simplify]: Extracting #6: cost 5 inf + 46127 121.347 * * [simplify]: Extracting #7: cost 0 inf + 46934 121.361 * * [simplify]: Extracting #8: cost 0 inf + 46815 121.383 * [simplify]: Simplified to (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 121.383 * [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)) J)) (cbrt (* (cos (/ K 2)) J))) (* (cbrt (cos (/ K 2))) (cbrt J))))) 121.383 * * * * [progress]: [ 13 / 93 ] simplifiying candidate # 121.383 * * * * [progress]: [ 14 / 93 ] simplifiying candidate # 121.384 * [simplify]: Simplifying (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 121.384 * * [simplify]: iters left: 6 (13 enodes) 121.391 * * [simplify]: iters left: 5 (52 enodes) 121.409 * * [simplify]: iters left: 4 (105 enodes) 121.438 * * [simplify]: iters left: 3 (359 enodes) 121.691 * * [simplify]: Extracting #0: cost 1 inf + 0 121.691 * * [simplify]: Extracting #1: cost 3 inf + 0 121.691 * * [simplify]: Extracting #2: cost 6 inf + 0 121.692 * * [simplify]: Extracting #3: cost 117 inf + 1 121.693 * * [simplify]: Extracting #4: cost 234 inf + 336 121.694 * * [simplify]: Extracting #5: cost 191 inf + 4484 121.698 * * [simplify]: Extracting #6: cost 119 inf + 19165 121.719 * * [simplify]: Extracting #7: cost 7 inf + 45857 121.747 * * [simplify]: Extracting #8: cost 0 inf + 47305 121.777 * [simplify]: Simplified to (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 121.777 * [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)) J)) (cbrt (* (cos (/ K 2)) J))) (* (cbrt (cos (/ K 2))) (cbrt J))))) 121.777 * * * * [progress]: [ 15 / 93 ] simplifiying candidate # 121.777 * * * * [progress]: [ 16 / 93 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J))) (* (cbrt (cos (/ K 2))) (cbrt J)))))> 121.777 * * * * [progress]: [ 17 / 93 ] simplifiying candidate # 121.778 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J))) (* (cbrt (cos (/ K 2))) (cbrt J)))) 121.778 * * [simplify]: iters left: 6 (22 enodes) 121.793 * * [simplify]: iters left: 5 (91 enodes) 121.825 * * [simplify]: iters left: 4 (201 enodes) 121.894 * * [simplify]: Extracting #0: cost 1 inf + 0 121.894 * * [simplify]: Extracting #1: cost 30 inf + 0 121.895 * * [simplify]: Extracting #2: cost 86 inf + 1 121.896 * * [simplify]: Extracting #3: cost 95 inf + 2 121.897 * * [simplify]: Extracting #4: cost 146 inf + 206 121.898 * * [simplify]: Extracting #5: cost 194 inf + 1801 121.907 * * [simplify]: Extracting #6: cost 81 inf + 31004 121.932 * * [simplify]: Extracting #7: cost 9 inf + 60529 121.959 * * [simplify]: Extracting #8: cost 0 inf + 66353 121.988 * [simplify]: Simplified to (* (* (* (* -2 (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J)))) (cbrt J)) 121.988 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* (* -2 (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J)))) (cbrt J)) 1)) 121.988 * * * * [progress]: [ 18 / 93 ] simplifiying candidate # 121.989 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J))) (* (cbrt (cos (/ K 2))) (cbrt J)))) 121.989 * * [simplify]: iters left: 6 (22 enodes) 122.000 * * [simplify]: iters left: 5 (91 enodes) 122.019 * * [simplify]: iters left: 4 (201 enodes) 122.077 * * [simplify]: Extracting #0: cost 1 inf + 0 122.077 * * [simplify]: Extracting #1: cost 30 inf + 0 122.077 * * [simplify]: Extracting #2: cost 86 inf + 1 122.078 * * [simplify]: Extracting #3: cost 95 inf + 2 122.079 * * [simplify]: Extracting #4: cost 146 inf + 206 122.080 * * [simplify]: Extracting #5: cost 194 inf + 1801 122.089 * * [simplify]: Extracting #6: cost 81 inf + 31004 122.113 * * [simplify]: Extracting #7: cost 9 inf + 60529 122.144 * * [simplify]: Extracting #8: cost 0 inf + 66353 122.169 * [simplify]: Simplified to (* (* (* (* -2 (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J)))) (cbrt J)) 122.169 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* (* -2 (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J)))) (cbrt J)) 1)) 122.170 * * * * [progress]: [ 19 / 93 ] simplifiying candidate # 122.170 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J))) (* (cbrt (cos (/ K 2))) (cbrt J)))) 122.170 * * [simplify]: iters left: 6 (22 enodes) 122.176 * * [simplify]: iters left: 5 (91 enodes) 122.193 * * [simplify]: iters left: 4 (201 enodes) 122.272 * * [simplify]: Extracting #0: cost 1 inf + 0 122.272 * * [simplify]: Extracting #1: cost 30 inf + 0 122.272 * * [simplify]: Extracting #2: cost 86 inf + 1 122.273 * * [simplify]: Extracting #3: cost 95 inf + 2 122.273 * * [simplify]: Extracting #4: cost 146 inf + 206 122.274 * * [simplify]: Extracting #5: cost 194 inf + 1801 122.279 * * [simplify]: Extracting #6: cost 81 inf + 31004 122.291 * * [simplify]: Extracting #7: cost 9 inf + 60529 122.308 * * [simplify]: Extracting #8: cost 0 inf + 66353 122.324 * [simplify]: Simplified to (* (* (* (* -2 (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J)))) (cbrt J)) 122.324 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* (* -2 (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J)))) (cbrt J)) 1)) 122.324 * * * * [progress]: [ 20 / 93 ] simplifiying candidate # 122.324 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J))) (* (cbrt (cos (/ K 2))) (cbrt J)))) 122.324 * * [simplify]: iters left: 6 (22 enodes) 122.330 * * [simplify]: iters left: 5 (91 enodes) 122.358 * * [simplify]: iters left: 4 (201 enodes) 122.422 * * [simplify]: Extracting #0: cost 1 inf + 0 122.422 * * [simplify]: Extracting #1: cost 30 inf + 0 122.422 * * [simplify]: Extracting #2: cost 86 inf + 1 122.423 * * [simplify]: Extracting #3: cost 95 inf + 2 122.424 * * [simplify]: Extracting #4: cost 146 inf + 206 122.425 * * [simplify]: Extracting #5: cost 194 inf + 1801 122.435 * * [simplify]: Extracting #6: cost 81 inf + 31004 122.461 * * [simplify]: Extracting #7: cost 9 inf + 60529 122.488 * * [simplify]: Extracting #8: cost 0 inf + 66353 122.516 * [simplify]: Simplified to (* (* (* (* -2 (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J)))) (cbrt J)) 122.516 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* (* -2 (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J)))) (cbrt J)) 1)) 122.516 * * * * [progress]: [ 21 / 93 ] simplifiying candidate # 122.517 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J))) (* (cbrt (cos (/ K 2))) (cbrt J)))) 122.517 * * [simplify]: iters left: 6 (22 enodes) 122.528 * * [simplify]: iters left: 5 (91 enodes) 122.550 * * [simplify]: iters left: 4 (201 enodes) 122.626 * * [simplify]: Extracting #0: cost 1 inf + 0 122.627 * * [simplify]: Extracting #1: cost 30 inf + 0 122.627 * * [simplify]: Extracting #2: cost 86 inf + 1 122.627 * * [simplify]: Extracting #3: cost 95 inf + 2 122.628 * * [simplify]: Extracting #4: cost 146 inf + 206 122.630 * * [simplify]: Extracting #5: cost 194 inf + 1801 122.639 * * [simplify]: Extracting #6: cost 81 inf + 31004 122.651 * * [simplify]: Extracting #7: cost 9 inf + 60529 122.665 * * [simplify]: Extracting #8: cost 0 inf + 66353 122.690 * [simplify]: Simplified to (* (* (* (* -2 (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J)))) (cbrt J)) 122.690 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* (* -2 (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J)))) (cbrt J)) 1)) 122.690 * * * * [progress]: [ 22 / 93 ] simplifiying candidate # 122.691 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J))) (* (cbrt (cos (/ K 2))) (cbrt J)))) 122.691 * * [simplify]: iters left: 6 (22 enodes) 122.702 * * [simplify]: iters left: 5 (91 enodes) 122.718 * * [simplify]: iters left: 4 (201 enodes) 122.793 * * [simplify]: Extracting #0: cost 1 inf + 0 122.793 * * [simplify]: Extracting #1: cost 30 inf + 0 122.793 * * [simplify]: Extracting #2: cost 86 inf + 1 122.794 * * [simplify]: Extracting #3: cost 95 inf + 2 122.794 * * [simplify]: Extracting #4: cost 146 inf + 206 122.795 * * [simplify]: Extracting #5: cost 194 inf + 1801 122.799 * * [simplify]: Extracting #6: cost 81 inf + 31004 122.812 * * [simplify]: Extracting #7: cost 9 inf + 60529 122.840 * * [simplify]: Extracting #8: cost 0 inf + 66353 122.867 * [simplify]: Simplified to (* (* (* (* -2 (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J)))) (cbrt J)) 122.867 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* (* -2 (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J)))) (cbrt J)) 1)) 122.868 * * * * [progress]: [ 23 / 93 ] simplifiying candidate # 122.868 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J))) (* (cbrt (cos (/ K 2))) (cbrt J)))) 122.868 * * [simplify]: iters left: 6 (22 enodes) 122.879 * * [simplify]: iters left: 5 (91 enodes) 122.909 * * [simplify]: iters left: 4 (201 enodes) 122.982 * * [simplify]: Extracting #0: cost 1 inf + 0 122.983 * * [simplify]: Extracting #1: cost 30 inf + 0 122.983 * * [simplify]: Extracting #2: cost 86 inf + 1 122.984 * * [simplify]: Extracting #3: cost 95 inf + 2 122.984 * * [simplify]: Extracting #4: cost 146 inf + 206 122.985 * * [simplify]: Extracting #5: cost 194 inf + 1801 122.990 * * [simplify]: Extracting #6: cost 81 inf + 31004 123.005 * * [simplify]: Extracting #7: cost 9 inf + 60529 123.023 * * [simplify]: Extracting #8: cost 0 inf + 66353 123.051 * [simplify]: Simplified to (* (* (* (* -2 (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J)))) (cbrt J)) 123.051 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* (* -2 (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J)))) (cbrt J)) 1)) 123.051 * * * * [progress]: [ 24 / 93 ] simplifiying candidate # 123.052 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J))) (* (cbrt (cos (/ K 2))) (cbrt J)))) 123.052 * * [simplify]: iters left: 6 (22 enodes) 123.063 * * [simplify]: iters left: 5 (91 enodes) 123.094 * * [simplify]: iters left: 4 (201 enodes) 123.184 * * [simplify]: Extracting #0: cost 1 inf + 0 123.184 * * [simplify]: Extracting #1: cost 30 inf + 0 123.184 * * [simplify]: Extracting #2: cost 86 inf + 1 123.184 * * [simplify]: Extracting #3: cost 95 inf + 2 123.185 * * [simplify]: Extracting #4: cost 146 inf + 206 123.186 * * [simplify]: Extracting #5: cost 194 inf + 1801 123.190 * * [simplify]: Extracting #6: cost 81 inf + 31004 123.203 * * [simplify]: Extracting #7: cost 9 inf + 60529 123.219 * * [simplify]: Extracting #8: cost 0 inf + 66353 123.234 * [simplify]: Simplified to (* (* (* (* -2 (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J)))) (cbrt J)) 123.234 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* (* -2 (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J)))) (cbrt J)) 1)) 123.235 * * * * [progress]: [ 25 / 93 ] simplifiying candidate # 123.235 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J))) (* (cbrt (cos (/ K 2))) (cbrt J)))) 123.235 * * [simplify]: iters left: 6 (22 enodes) 123.251 * * [simplify]: iters left: 5 (91 enodes) 123.282 * * [simplify]: iters left: 4 (201 enodes) 123.383 * * [simplify]: Extracting #0: cost 1 inf + 0 123.383 * * [simplify]: Extracting #1: cost 30 inf + 0 123.383 * * [simplify]: Extracting #2: cost 86 inf + 1 123.384 * * [simplify]: Extracting #3: cost 95 inf + 2 123.385 * * [simplify]: Extracting #4: cost 146 inf + 206 123.386 * * [simplify]: Extracting #5: cost 194 inf + 1801 123.396 * * [simplify]: Extracting #6: cost 81 inf + 31004 123.421 * * [simplify]: Extracting #7: cost 9 inf + 60529 123.448 * * [simplify]: Extracting #8: cost 0 inf + 66353 123.476 * [simplify]: Simplified to (* (* (* (* -2 (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J)))) (cbrt J)) 123.476 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* (* -2 (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J)))) (cbrt J)) 1)) 123.476 * * * * [progress]: [ 26 / 93 ] simplifiying candidate # 123.476 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J))) (* (cbrt (cos (/ K 2))) (cbrt J)))) 123.477 * * [simplify]: iters left: 6 (22 enodes) 123.488 * * [simplify]: iters left: 5 (91 enodes) 123.510 * * [simplify]: iters left: 4 (201 enodes) 123.567 * * [simplify]: Extracting #0: cost 1 inf + 0 123.567 * * [simplify]: Extracting #1: cost 30 inf + 0 123.567 * * [simplify]: Extracting #2: cost 86 inf + 1 123.568 * * [simplify]: Extracting #3: cost 95 inf + 2 123.568 * * [simplify]: Extracting #4: cost 146 inf + 206 123.569 * * [simplify]: Extracting #5: cost 194 inf + 1801 123.574 * * [simplify]: Extracting #6: cost 81 inf + 31004 123.596 * * [simplify]: Extracting #7: cost 9 inf + 60529 123.611 * * [simplify]: Extracting #8: cost 0 inf + 66353 123.625 * [simplify]: Simplified to (* (* (* (* -2 (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J)))) (cbrt J)) 123.626 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* (* -2 (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J)))) (cbrt J)) 1)) 123.626 * * * * [progress]: [ 27 / 93 ] simplifiying candidate # 123.626 * * * * [progress]: [ 28 / 93 ] simplifiying candidate # 123.626 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (+ (+ (log (cbrt (* (cos (/ K 2)) J))) (log (cbrt (* (cos (/ K 2)) J)))) (+ (log (cbrt (cos (/ K 2)))) (log (cbrt J))))) 123.626 * * [simplify]: iters left: 6 (27 enodes) 123.634 * * [simplify]: iters left: 5 (106 enodes) 123.669 * * [simplify]: iters left: 4 (216 enodes) 123.763 * * [simplify]: Extracting #0: cost 1 inf + 0 123.763 * * [simplify]: Extracting #1: cost 30 inf + 0 123.763 * * [simplify]: Extracting #2: cost 89 inf + 0 123.764 * * [simplify]: Extracting #3: cost 99 inf + 72 123.764 * * [simplify]: Extracting #4: cost 102 inf + 225 123.764 * * [simplify]: Extracting #5: cost 153 inf + 720 123.765 * * [simplify]: Extracting #6: cost 195 inf + 3175 123.769 * * [simplify]: Extracting #7: cost 104 inf + 24927 123.780 * * [simplify]: Extracting #8: cost 30 inf + 62521 123.804 * * [simplify]: Extracting #9: cost 3 inf + 82671 123.840 * * [simplify]: Extracting #10: cost 0 inf + 85004 123.860 * [simplify]: Simplified to (+ (+ (+ (+ (log (cbrt (cos (/ K 2)))) (log (cbrt J))) (log (sqrt (+ 1 (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)))))) (log -2)) (+ (log (cbrt (* (cos (/ K 2)) J))) (log (cbrt (* (cos (/ K 2)) J))))) 123.860 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (+ (+ (log (cbrt (cos (/ K 2)))) (log (cbrt J))) (log (sqrt (+ 1 (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)))))) (log -2)) (+ (log (cbrt (* (cos (/ K 2)) J))) (log (cbrt (* (cos (/ K 2)) J))))))) 123.860 * * * * [progress]: [ 29 / 93 ] simplifiying candidate # 123.860 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (+ (+ (log (cbrt (* (cos (/ K 2)) J))) (log (cbrt (* (cos (/ K 2)) J)))) (log (* (cbrt (cos (/ K 2))) (cbrt J))))) 123.860 * * [simplify]: iters left: 6 (26 enodes) 123.867 * * [simplify]: iters left: 5 (104 enodes) 123.896 * * [simplify]: iters left: 4 (204 enodes) 123.970 * * [simplify]: Extracting #0: cost 1 inf + 0 123.970 * * [simplify]: Extracting #1: cost 28 inf + 0 123.970 * * [simplify]: Extracting #2: cost 84 inf + 0 123.970 * * [simplify]: Extracting #3: cost 94 inf + 72 123.971 * * [simplify]: Extracting #4: cost 98 inf + 144 123.971 * * [simplify]: Extracting #5: cost 151 inf + 226 123.972 * * [simplify]: Extracting #6: cost 192 inf + 3091 123.976 * * [simplify]: Extracting #7: cost 97 inf + 27958 123.988 * * [simplify]: Extracting #8: cost 15 inf + 66521 124.018 * * [simplify]: Extracting #9: cost 0 inf + 77750 124.048 * [simplify]: Simplified to (+ (log (cbrt (* (cos (/ K 2)) J))) (+ (log (cbrt (* (cos (/ K 2)) J))) (+ (log (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (+ (log (* (cbrt (cos (/ K 2))) (cbrt J))) (log -2))))) 124.049 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log (cbrt (* (cos (/ K 2)) J))) (+ (log (cbrt (* (cos (/ K 2)) J))) (+ (log (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (+ (log (* (cbrt (cos (/ K 2))) (cbrt J))) (log -2))))))) 124.049 * * * * [progress]: [ 30 / 93 ] simplifiying candidate # 124.049 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (+ (log (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J)))) (+ (log (cbrt (cos (/ K 2)))) (log (cbrt J))))) 124.049 * * [simplify]: iters left: 6 (27 enodes) 124.056 * * [simplify]: iters left: 5 (106 enodes) 124.074 * * [simplify]: iters left: 4 (210 enodes) 124.125 * * [simplify]: Extracting #0: cost 1 inf + 0 124.125 * * [simplify]: Extracting #1: cost 30 inf + 0 124.126 * * [simplify]: Extracting #2: cost 90 inf + 0 124.126 * * [simplify]: Extracting #3: cost 98 inf + 143 124.126 * * [simplify]: Extracting #4: cost 102 inf + 225 124.127 * * [simplify]: Extracting #5: cost 153 inf + 458 124.128 * * [simplify]: Extracting #6: cost 199 inf + 2464 124.131 * * [simplify]: Extracting #7: cost 104 inf + 24221 124.141 * * [simplify]: Extracting #8: cost 31 inf + 59185 124.168 * * [simplify]: Extracting #9: cost 4 inf + 81028 124.202 * * [simplify]: Extracting #10: cost 0 inf + 83706 124.235 * [simplify]: Simplified to (+ (+ (log (cbrt (cos (/ K 2)))) (+ (+ (log -2) (log (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))) (log (cbrt J)))) (+ (log (cbrt (* (cos (/ K 2)) J))) (log (cbrt (* (cos (/ K 2)) J))))) 124.235 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (log (cbrt (cos (/ K 2)))) (+ (+ (log -2) (log (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))) (log (cbrt J)))) (+ (log (cbrt (* (cos (/ K 2)) J))) (log (cbrt (* (cos (/ K 2)) J))))))) 124.236 * * * * [progress]: [ 31 / 93 ] simplifiying candidate # 124.236 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (+ (log (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J)))) (log (* (cbrt (cos (/ K 2))) (cbrt J))))) 124.237 * * [simplify]: iters left: 6 (26 enodes) 124.250 * * [simplify]: iters left: 5 (104 enodes) 124.272 * * [simplify]: iters left: 4 (199 enodes) 124.345 * * [simplify]: Extracting #0: cost 1 inf + 0 124.345 * * [simplify]: Extracting #1: cost 28 inf + 0 124.346 * * [simplify]: Extracting #2: cost 85 inf + 0 124.346 * * [simplify]: Extracting #3: cost 94 inf + 72 124.347 * * [simplify]: Extracting #4: cost 97 inf + 225 124.348 * * [simplify]: Extracting #5: cost 146 inf + 1133 124.350 * * [simplify]: Extracting #6: cost 190 inf + 3485 124.358 * * [simplify]: Extracting #7: cost 89 inf + 27671 124.376 * * [simplify]: Extracting #8: cost 30 inf + 54593 124.402 * * [simplify]: Extracting #9: cost 2 inf + 75148 124.417 * * [simplify]: Extracting #10: cost 0 inf + 76427 124.444 * [simplify]: Simplified to (+ (+ (+ (log -2) (log (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (log (* (cbrt (cos (/ K 2))) (cbrt J)))) (+ (log (cbrt (* (cos (/ K 2)) J))) (log (cbrt (* (cos (/ K 2)) J))))) 124.444 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (+ (log -2) (log (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (log (* (cbrt (cos (/ K 2))) (cbrt J)))) (+ (log (cbrt (* (cos (/ K 2)) J))) (log (cbrt (* (cos (/ K 2)) J))))))) 124.444 * * * * [progress]: [ 32 / 93 ] simplifiying candidate # 124.445 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (log (* (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J))) (* (cbrt (cos (/ K 2))) (cbrt J))))) 124.445 * * [simplify]: iters left: 6 (25 enodes) 124.459 * * [simplify]: iters left: 5 (101 enodes) 124.493 * * [simplify]: iters left: 4 (200 enodes) 124.582 * * [simplify]: Extracting #0: cost 1 inf + 0 124.582 * * [simplify]: Extracting #1: cost 19 inf + 0 124.582 * * [simplify]: Extracting #2: cost 65 inf + 0 124.582 * * [simplify]: Extracting #3: cost 81 inf + 72 124.583 * * [simplify]: Extracting #4: cost 87 inf + 457 124.584 * * [simplify]: Extracting #5: cost 139 inf + 871 124.585 * * [simplify]: Extracting #6: cost 188 inf + 2263 124.590 * * [simplify]: Extracting #7: cost 98 inf + 22966 124.600 * * [simplify]: Extracting #8: cost 15 inf + 57777 124.612 * * [simplify]: Extracting #9: cost 1 inf + 66050 124.632 * * [simplify]: Extracting #10: cost 0 inf + 66935 124.645 * [simplify]: Simplified to (+ (+ (log -2) (log (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (log (* (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J))) (* (cbrt (cos (/ K 2))) (cbrt J))))) 124.645 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (log -2) (log (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (log (* (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J))) (* (cbrt (cos (/ K 2))) (cbrt J))))))) 124.646 * * * * [progress]: [ 33 / 93 ] simplifiying candidate # 124.646 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (+ (+ (log (cbrt (* (cos (/ K 2)) J))) (log (cbrt (* (cos (/ K 2)) J)))) (+ (log (cbrt (cos (/ K 2)))) (log (cbrt J))))) 124.646 * * [simplify]: iters left: 6 (26 enodes) 124.653 * * [simplify]: iters left: 5 (104 enodes) 124.673 * * [simplify]: iters left: 4 (206 enodes) 124.752 * * [simplify]: Extracting #0: cost 1 inf + 0 124.752 * * [simplify]: Extracting #1: cost 28 inf + 0 124.752 * * [simplify]: Extracting #2: cost 80 inf + 0 124.752 * * [simplify]: Extracting #3: cost 90 inf + 1 124.753 * * [simplify]: Extracting #4: cost 93 inf + 144 124.753 * * [simplify]: Extracting #5: cost 144 inf + 639 124.754 * * [simplify]: Extracting #6: cost 189 inf + 2584 124.757 * * [simplify]: Extracting #7: cost 106 inf + 21045 124.765 * * [simplify]: Extracting #8: cost 45 inf + 43738 124.783 * * [simplify]: Extracting #9: cost 7 inf + 69978 124.813 * * [simplify]: Extracting #10: cost 0 inf + 74856 124.828 * [simplify]: Simplified to (+ (+ (log (cbrt (* (cos (/ K 2)) J))) (log (cbrt (* (cos (/ K 2)) J)))) (+ (+ (log (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (log (cbrt J))) (log (cbrt (cos (/ K 2)))))) 124.828 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (log (cbrt (* (cos (/ K 2)) J))) (log (cbrt (* (cos (/ K 2)) J)))) (+ (+ (log (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (log (cbrt J))) (log (cbrt (cos (/ K 2)))))))) 124.829 * * * * [progress]: [ 34 / 93 ] simplifiying candidate # 124.829 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (+ (+ (log (cbrt (* (cos (/ K 2)) J))) (log (cbrt (* (cos (/ K 2)) J)))) (log (* (cbrt (cos (/ K 2))) (cbrt J))))) 124.829 * * [simplify]: iters left: 6 (25 enodes) 124.835 * * [simplify]: iters left: 5 (102 enodes) 124.855 * * [simplify]: iters left: 4 (196 enodes) 124.915 * * [simplify]: Extracting #0: cost 1 inf + 0 124.916 * * [simplify]: Extracting #1: cost 26 inf + 0 124.916 * * [simplify]: Extracting #2: cost 73 inf + 0 124.916 * * [simplify]: Extracting #3: cost 84 inf + 1 124.917 * * [simplify]: Extracting #4: cost 88 inf + 73 124.917 * * [simplify]: Extracting #5: cost 139 inf + 307 124.919 * * [simplify]: Extracting #6: cost 185 inf + 2243 124.926 * * [simplify]: Extracting #7: cost 91 inf + 23670 124.939 * * [simplify]: Extracting #8: cost 37 inf + 44293 124.951 * * [simplify]: Extracting #9: cost 9 inf + 62430 124.967 * * [simplify]: Extracting #10: cost 0 inf + 68850 124.993 * [simplify]: Simplified to (+ (+ (log (cbrt (* (cos (/ K 2)) J))) (log (cbrt (* (cos (/ K 2)) J)))) (+ (log (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (log (* (cbrt (cos (/ K 2))) (cbrt J))))) 124.994 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (log (cbrt (* (cos (/ K 2)) J))) (log (cbrt (* (cos (/ K 2)) J)))) (+ (log (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (log (* (cbrt (cos (/ K 2))) (cbrt J))))))) 124.994 * * * * [progress]: [ 35 / 93 ] simplifiying candidate # 124.994 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (+ (log (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J)))) (+ (log (cbrt (cos (/ K 2)))) (log (cbrt J))))) 124.994 * * [simplify]: iters left: 6 (26 enodes) 125.004 * * [simplify]: iters left: 5 (104 enodes) 125.022 * * [simplify]: iters left: 4 (202 enodes) 125.067 * * [simplify]: Extracting #0: cost 1 inf + 0 125.067 * * [simplify]: Extracting #1: cost 28 inf + 0 125.067 * * [simplify]: Extracting #2: cost 81 inf + 0 125.067 * * [simplify]: Extracting #3: cost 91 inf + 1 125.068 * * [simplify]: Extracting #4: cost 94 inf + 144 125.068 * * [simplify]: Extracting #5: cost 146 inf + 377 125.071 * * [simplify]: Extracting #6: cost 187 inf + 3033 125.075 * * [simplify]: Extracting #7: cost 100 inf + 22640 125.084 * * [simplify]: Extracting #8: cost 32 inf + 51512 125.098 * * [simplify]: Extracting #9: cost 3 inf + 72264 125.123 * * [simplify]: Extracting #10: cost 0 inf + 74177 125.152 * [simplify]: Simplified to (+ (log (cbrt (cos (/ K 2)))) (+ (log (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J)))) (+ (log (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (log (cbrt J))))) 125.152 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log (cbrt (cos (/ K 2)))) (+ (log (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J)))) (+ (log (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (log (cbrt J))))))) 125.152 * * * * [progress]: [ 36 / 93 ] simplifiying candidate # 125.153 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (+ (log (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J)))) (log (* (cbrt (cos (/ K 2))) (cbrt J))))) 125.153 * * [simplify]: iters left: 6 (25 enodes) 125.167 * * [simplify]: iters left: 5 (102 enodes) 125.201 * * [simplify]: iters left: 4 (193 enodes) 125.286 * * [simplify]: Extracting #0: cost 1 inf + 0 125.286 * * [simplify]: Extracting #1: cost 26 inf + 0 125.286 * * [simplify]: Extracting #2: cost 75 inf + 0 125.287 * * [simplify]: Extracting #3: cost 84 inf + 143 125.287 * * [simplify]: Extracting #4: cost 89 inf + 144 125.288 * * [simplify]: Extracting #5: cost 142 inf + 226 125.289 * * [simplify]: Extracting #6: cost 186 inf + 2136 125.297 * * [simplify]: Extracting #7: cost 91 inf + 22993 125.312 * * [simplify]: Extracting #8: cost 25 inf + 52096 125.325 * * [simplify]: Extracting #9: cost 2 inf + 68069 125.341 * * [simplify]: Extracting #10: cost 0 inf + 69147 125.368 * [simplify]: Simplified to (+ (log (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J)))) (+ (log (* -2 (sqrt (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (log (* (cbrt (cos (/ K 2))) (cbrt J))))) 125.368 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J)))) (+ (log (* -2 (sqrt (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (log (* (cbrt (cos (/ K 2))) (cbrt J))))))) 125.368 * * * * [progress]: [ 37 / 93 ] simplifiying candidate # 125.368 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (log (* (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J))) (* (cbrt (cos (/ K 2))) (cbrt J))))) 125.369 * * [simplify]: iters left: 6 (24 enodes) 125.377 * * [simplify]: iters left: 5 (99 enodes) 125.394 * * [simplify]: iters left: 4 (197 enodes) 125.473 * * [simplify]: Extracting #0: cost 1 inf + 0 125.473 * * [simplify]: Extracting #1: cost 19 inf + 0 125.473 * * [simplify]: Extracting #2: cost 59 inf + 0 125.474 * * [simplify]: Extracting #3: cost 76 inf + 1 125.474 * * [simplify]: Extracting #4: cost 84 inf + 144 125.475 * * [simplify]: Extracting #5: cost 135 inf + 458 125.476 * * [simplify]: Extracting #6: cost 182 inf + 2187 125.480 * * [simplify]: Extracting #7: cost 83 inf + 24415 125.488 * * [simplify]: Extracting #8: cost 34 inf + 42481 125.498 * * [simplify]: Extracting #9: cost 5 inf + 58688 125.510 * * [simplify]: Extracting #10: cost 0 inf + 62134 125.521 * [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)) J)) (cbrt J)) (cbrt (* (cos (/ K 2)) J)))))) 125.521 * [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)) J)) (cbrt J)) (cbrt (* (cos (/ K 2)) J)))))))) 125.522 * * * * [progress]: [ 38 / 93 ] simplifiying candidate # 125.522 * * * * [progress]: [ 39 / 93 ] simplifiying candidate # 125.522 * * * * [progress]: [ 40 / 93 ] simplifiying candidate # 125.522 * [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))) 125.522 * * [simplify]: iters left: 6 (22 enodes) 125.529 * * [simplify]: iters left: 5 (100 enodes) 125.576 * * [simplify]: iters left: 4 (294 enodes) 125.783 * * [simplify]: Extracting #0: cost 1 inf + 0 125.784 * * [simplify]: Extracting #1: cost 60 inf + 0 125.785 * * [simplify]: Extracting #2: cost 296 inf + 45 125.788 * * [simplify]: Extracting #3: cost 387 inf + 838 125.798 * * [simplify]: Extracting #4: cost 321 inf + 30714 125.820 * * [simplify]: Extracting #5: cost 92 inf + 107949 125.896 * * [simplify]: Extracting #6: cost 2 inf + 149823 125.948 * * [simplify]: Extracting #7: cost 0 inf + 150712 126.018 * [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)))) 126.018 * [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)))))) 126.018 * * * * [progress]: [ 41 / 93 ] simplifiying candidate # 126.019 * [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)) (* (* (* (cbrt (cos (/ K 2))) (cbrt J)) (* (cbrt (cos (/ K 2))) (cbrt J))) (* (cbrt (cos (/ K 2))) (cbrt J))))) 126.019 * * [simplify]: iters left: 6 (27 enodes) 126.027 * * [simplify]: iters left: 5 (128 enodes) 126.073 * * [simplify]: iters left: 4 (409 enodes) 126.458 * * [simplify]: Extracting #0: cost 1 inf + 0 126.458 * * [simplify]: Extracting #1: cost 119 inf + 0 126.462 * * [simplify]: Extracting #2: cost 619 inf + 4 126.468 * * [simplify]: Extracting #3: cost 761 inf + 831 126.475 * * [simplify]: Extracting #4: cost 795 inf + 2741 126.495 * * [simplify]: Extracting #5: cost 605 inf + 60524 126.593 * * [simplify]: Extracting #6: cost 154 inf + 266598 126.697 * * [simplify]: Extracting #7: cost 5 inf + 357051 126.834 * * [simplify]: Extracting #8: cost 0 inf + 360181 126.990 * [simplify]: Simplified to (* (* (* (* (* (* (cos (/ K 2)) J) (* (cbrt (cos (/ K 2))) (cbrt J))) (* (* (cos (/ K 2)) J) (* (cbrt (cos (/ K 2))) (cbrt J)))) (* (* (cbrt (cos (/ K 2))) (cbrt J)) (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) -8) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) 126.990 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (* (* (* (cos (/ K 2)) J) (* (cbrt (cos (/ K 2))) (cbrt J))) (* (* (cos (/ K 2)) J) (* (cbrt (cos (/ K 2))) (cbrt J)))) (* (* (cbrt (cos (/ K 2))) (cbrt J)) (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) -8) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) 126.990 * * * * [progress]: [ 42 / 93 ] simplifiying candidate # 126.990 * [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)) J)) (cbrt (* (cos (/ K 2)) J))) (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J)))) (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J)))) (* (cos (/ K 2)) J))) 126.991 * * [simplify]: iters left: 6 (25 enodes) 126.999 * * [simplify]: iters left: 5 (112 enodes) 127.034 * * [simplify]: iters left: 4 (317 enodes) 127.251 * * [simplify]: Extracting #0: cost 1 inf + 0 127.251 * * [simplify]: Extracting #1: cost 57 inf + 0 127.252 * * [simplify]: Extracting #2: cost 315 inf + 4 127.253 * * [simplify]: Extracting #3: cost 442 inf + 49 127.255 * * [simplify]: Extracting #4: cost 480 inf + 2508 127.264 * * [simplify]: Extracting #5: cost 297 inf + 52492 127.307 * * [simplify]: Extracting #6: cost 103 inf + 126459 127.354 * * [simplify]: Extracting #7: cost 4 inf + 173105 127.427 * * [simplify]: Extracting #8: cost 0 inf + 175408 127.512 * [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))))) (* (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) -8) (* (cos (/ K 2)) J))) 127.512 * [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))))) (* (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) -8) (* (cos (/ K 2)) J))))) 127.512 * * * * [progress]: [ 43 / 93 ] simplifiying candidate # 127.513 * [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)) J)) (cbrt (* (cos (/ K 2)) J))) (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J)))) (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J)))) (* (* (* (cbrt (cos (/ K 2))) (cbrt J)) (* (cbrt (cos (/ K 2))) (cbrt J))) (* (cbrt (cos (/ K 2))) (cbrt J))))) 127.513 * * [simplify]: iters left: 6 (30 enodes) 127.531 * * [simplify]: iters left: 5 (138 enodes) 127.593 * * [simplify]: iters left: 4 (405 enodes) 127.979 * * [simplify]: Extracting #0: cost 1 inf + 0 127.980 * * [simplify]: Extracting #1: cost 110 inf + 0 127.982 * * [simplify]: Extracting #2: cost 561 inf + 3 127.987 * * [simplify]: Extracting #3: cost 711 inf + 370 127.994 * * [simplify]: Extracting #4: cost 762 inf + 1400 128.000 * * [simplify]: Extracting #5: cost 745 inf + 2720 128.006 * * [simplify]: Extracting #6: cost 655 inf + 28121 128.077 * * [simplify]: Extracting #7: cost 200 inf + 254185 128.241 * * [simplify]: Extracting #8: cost 4 inf + 366811 128.359 * * [simplify]: Extracting #9: cost 0 inf + 368322 128.477 * [simplify]: Simplified to (* (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (* (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) -8) (* (* (* (cbrt J) (cbrt (cos (/ K 2)))) (* (cos (/ K 2)) J)) (* (* (cbrt J) (cbrt (cos (/ K 2)))) (* (cos (/ K 2)) J)))) (* (cbrt J) (cbrt (cos (/ K 2)))))) 128.477 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (* (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) -8) (* (* (* (cbrt J) (cbrt (cos (/ K 2)))) (* (cos (/ K 2)) J)) (* (* (cbrt J) (cbrt (cos (/ K 2)))) (* (cos (/ K 2)) J)))) (* (cbrt J) (cbrt (cos (/ K 2)))))))) 128.477 * * * * [progress]: [ 44 / 93 ] simplifiying candidate # 128.478 * [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)) J)) (cbrt (* (cos (/ K 2)) J))) (* (cbrt (cos (/ K 2))) (cbrt J))) (* (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J))) (* (cbrt (cos (/ K 2))) (cbrt J)))) (* (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J))) (* (cbrt (cos (/ K 2))) (cbrt J))))) 128.478 * * [simplify]: iters left: 6 (28 enodes) 128.487 * * [simplify]: iters left: 5 (124 enodes) 128.519 * * [simplify]: iters left: 4 (397 enodes) 128.847 * * [simplify]: Extracting #0: cost 1 inf + 0 128.847 * * [simplify]: Extracting #1: cost 101 inf + 0 128.849 * * [simplify]: Extracting #2: cost 581 inf + 3 128.851 * * [simplify]: Extracting #3: cost 714 inf + 168 128.854 * * [simplify]: Extracting #4: cost 768 inf + 952 128.857 * * [simplify]: Extracting #5: cost 752 inf + 1985 128.863 * * [simplify]: Extracting #6: cost 658 inf + 25627 128.930 * * [simplify]: Extracting #7: cost 347 inf + 195282 129.066 * * [simplify]: Extracting #8: cost 23 inf + 413891 129.276 * * [simplify]: Extracting #9: cost 0 inf + 430727 129.462 * [simplify]: Simplified to (* (* (* (* (* (cbrt (cos (/ K 2))) (cbrt J)) (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J)))) (* (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) -8) (* (* (* (cbrt (cos (/ K 2))) (cbrt J)) (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J)))) (* (* (cbrt (cos (/ K 2))) (cbrt J)) (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J)))))) 129.462 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (* (* (cbrt (cos (/ K 2))) (cbrt J)) (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J)))) (* (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) -8) (* (* (* (cbrt (cos (/ K 2))) (cbrt J)) (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J)))) (* (* (cbrt (cos (/ K 2))) (cbrt J)) (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J)))))))) 129.462 * * * * [progress]: [ 45 / 93 ] simplifiying candidate # 129.463 * [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))) 129.463 * * [simplify]: iters left: 6 (20 enodes) 129.474 * * [simplify]: iters left: 5 (100 enodes) 129.496 * * [simplify]: iters left: 4 (276 enodes) 129.654 * * [simplify]: Extracting #0: cost 1 inf + 0 129.654 * * [simplify]: Extracting #1: cost 77 inf + 0 129.655 * * [simplify]: Extracting #2: cost 260 inf + 44 129.656 * * [simplify]: Extracting #3: cost 306 inf + 416 129.662 * * [simplify]: Extracting #4: cost 308 inf + 11333 129.675 * * [simplify]: Extracting #5: cost 175 inf + 46842 129.702 * * [simplify]: Extracting #6: cost 78 inf + 90579 129.747 * * [simplify]: Extracting #7: cost 2 inf + 128322 129.789 * * [simplify]: Extracting #8: cost 0 inf + 129414 129.846 * [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)))))) 129.846 * [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)))))))) 129.846 * * * * [progress]: [ 46 / 93 ] simplifiying candidate # 129.847 * [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)) (* (* (* (cbrt (cos (/ K 2))) (cbrt J)) (* (cbrt (cos (/ K 2))) (cbrt J))) (* (cbrt (cos (/ K 2))) (cbrt J))))) 129.847 * * [simplify]: iters left: 6 (25 enodes) 129.862 * * [simplify]: iters left: 5 (128 enodes) 129.891 * * [simplify]: iters left: 4 (391 enodes) 130.133 * * [simplify]: Extracting #0: cost 1 inf + 0 130.133 * * [simplify]: Extracting #1: cost 144 inf + 0 130.140 * * [simplify]: Extracting #2: cost 598 inf + 3 130.142 * * [simplify]: Extracting #3: cost 655 inf + 856 130.156 * * [simplify]: Extracting #4: cost 531 inf + 70752 130.252 * * [simplify]: Extracting #5: cost 82 inf + 297985 130.426 * * [simplify]: Extracting #6: cost 0 inf + 339076 130.542 * * [simplify]: Extracting #7: cost 0 inf + 338836 130.721 * [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)))))) (* (* (* (cos (/ K 2)) J) (* (cbrt (cos (/ K 2))) (cbrt J))) (* (* (* (cos (/ K 2)) J) (* (cbrt (cos (/ K 2))) (cbrt J))) (* (cbrt (cos (/ K 2))) (cbrt J))))) 130.721 * [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)))))) (* (* (* (cos (/ K 2)) J) (* (cbrt (cos (/ K 2))) (cbrt J))) (* (* (* (cos (/ K 2)) J) (* (cbrt (cos (/ K 2))) (cbrt J))) (* (cbrt (cos (/ K 2))) (cbrt J))))))) 130.721 * * * * [progress]: [ 47 / 93 ] simplifiying candidate # 130.722 * [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)) J)) (cbrt (* (cos (/ K 2)) J))) (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J)))) (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J)))) (* (cos (/ K 2)) J))) 130.722 * * [simplify]: iters left: 6 (23 enodes) 130.734 * * [simplify]: iters left: 5 (112 enodes) 130.760 * * [simplify]: iters left: 4 (306 enodes) 130.890 * * [simplify]: Extracting #0: cost 1 inf + 0 130.890 * * [simplify]: Extracting #1: cost 73 inf + 0 130.892 * * [simplify]: Extracting #2: cost 310 inf + 3 130.895 * * [simplify]: Extracting #3: cost 373 inf + 49 130.898 * * [simplify]: Extracting #4: cost 417 inf + 1891 130.921 * * [simplify]: Extracting #5: cost 188 inf + 77538 130.962 * * [simplify]: Extracting #6: cost 2 inf + 165903 131.006 * * [simplify]: Extracting #7: cost 0 inf + 165632 131.076 * [simplify]: Simplified to (* (* (sqrt (+ 1 (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)))) (* -8 (+ 1 (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J))))) (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))) 131.076 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (sqrt (+ 1 (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)))) (* -8 (+ 1 (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J))))) (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))))) 131.076 * * * * [progress]: [ 48 / 93 ] simplifiying candidate # 131.077 * [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)) J)) (cbrt (* (cos (/ K 2)) J))) (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J)))) (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J)))) (* (* (* (cbrt (cos (/ K 2))) (cbrt J)) (* (cbrt (cos (/ K 2))) (cbrt J))) (* (cbrt (cos (/ K 2))) (cbrt J))))) 131.077 * * [simplify]: iters left: 6 (28 enodes) 131.094 * * [simplify]: iters left: 5 (138 enodes) 131.152 * * [simplify]: iters left: 4 (389 enodes) 131.487 * * [simplify]: Extracting #0: cost 1 inf + 0 131.488 * * [simplify]: Extracting #1: cost 136 inf + 0 131.491 * * [simplify]: Extracting #2: cost 558 inf + 2 131.495 * * [simplify]: Extracting #3: cost 618 inf + 451 131.501 * * [simplify]: Extracting #4: cost 672 inf + 1278 131.511 * * [simplify]: Extracting #5: cost 596 inf + 19108 131.570 * * [simplify]: Extracting #6: cost 316 inf + 151208 131.675 * * [simplify]: Extracting #7: cost 23 inf + 335307 131.836 * * [simplify]: Extracting #8: cost 0 inf + 349747 131.953 * * [simplify]: Extracting #9: cost 0 inf + 349746 132.098 * [simplify]: Simplified to (* (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) -8) (* (* (* (cos (/ K 2)) J) (* (cbrt (cos (/ K 2))) (cbrt J))) (* (* (cos (/ K 2)) J) (* (cbrt (cos (/ K 2))) (cbrt J)))))) (* (cbrt (cos (/ K 2))) (cbrt J))) 132.098 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) -8) (* (* (* (cos (/ K 2)) J) (* (cbrt (cos (/ K 2))) (cbrt J))) (* (* (cos (/ K 2)) J) (* (cbrt (cos (/ K 2))) (cbrt J)))))) (* (cbrt (cos (/ K 2))) (cbrt J))))) 132.098 * * * * [progress]: [ 49 / 93 ] simplifiying candidate # 132.099 * [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)) J)) (cbrt (* (cos (/ K 2)) J))) (* (cbrt (cos (/ K 2))) (cbrt J))) (* (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J))) (* (cbrt (cos (/ K 2))) (cbrt J)))) (* (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J))) (* (cbrt (cos (/ K 2))) (cbrt J))))) 132.099 * * [simplify]: iters left: 6 (26 enodes) 132.114 * * [simplify]: iters left: 5 (124 enodes) 132.157 * * [simplify]: iters left: 4 (379 enodes) 132.453 * * [simplify]: Extracting #0: cost 1 inf + 0 132.453 * * [simplify]: Extracting #1: cost 121 inf + 0 132.454 * * [simplify]: Extracting #2: cost 543 inf + 2 132.457 * * [simplify]: Extracting #3: cost 601 inf + 460 132.464 * * [simplify]: Extracting #4: cost 655 inf + 955 132.481 * * [simplify]: Extracting #5: cost 446 inf + 91439 132.613 * * [simplify]: Extracting #6: cost 41 inf + 357189 132.790 * * [simplify]: Extracting #7: cost 0 inf + 380858 132.925 * * [simplify]: Extracting #8: cost 0 inf + 380738 133.070 * [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))))) (* (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J))) (* (cbrt (cos (/ K 2))) (cbrt J))))) (* (* (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J))) (* (cbrt (cos (/ K 2))) (cbrt J))) (* (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J))) (* (cbrt (cos (/ K 2))) (cbrt J))))) 133.070 * [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))))) (* (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J))) (* (cbrt (cos (/ K 2))) (cbrt J))))) (* (* (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J))) (* (cbrt (cos (/ K 2))) (cbrt J))) (* (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J))) (* (cbrt (cos (/ K 2))) (cbrt J))))))) 133.071 * * * * [progress]: [ 50 / 93 ] simplifiying candidate # 133.071 * * * * [progress]: [ 51 / 93 ] simplifiying candidate # 133.071 * * * * [progress]: [ 52 / 93 ] simplifiying candidate # 133.071 * * * * [progress]: [ 53 / 93 ] simplifiying candidate # 133.071 * * * * [progress]: [ 54 / 93 ] simplifiying candidate # 133.071 * [simplify]: Simplifying (* (cbrt (cos (/ K 2))) (cbrt J)) 133.071 * * [simplify]: iters left: 6 (8 enodes) 133.074 * * [simplify]: iters left: 5 (25 enodes) 133.078 * * [simplify]: Extracting #0: cost 1 inf + 0 133.078 * * [simplify]: Extracting #1: cost 4 inf + 0 133.078 * * [simplify]: Extracting #2: cost 8 inf + 0 133.078 * * [simplify]: Extracting #3: cost 8 inf + 82 133.078 * * [simplify]: Extracting #4: cost 10 inf + 163 133.078 * * [simplify]: Extracting #5: cost 8 inf + 165 133.078 * * [simplify]: Extracting #6: cost 5 inf + 351 133.078 * * [simplify]: Extracting #7: cost 1 inf + 1120 133.078 * * [simplify]: Extracting #8: cost 0 inf + 1423 133.078 * [simplify]: Simplified to (* (cbrt J) (cbrt (cos (/ K 2)))) 133.078 * [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)) J)) (cbrt (* (cos (/ K 2)) J)))) (* (cbrt J) (cbrt (cos (/ K 2)))))) 133.079 * * * * [progress]: [ 55 / 93 ] simplifiying candidate # 133.079 * [simplify]: Simplifying (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 133.079 * * [simplify]: iters left: 6 (13 enodes) 133.083 * * [simplify]: iters left: 5 (52 enodes) 133.092 * * [simplify]: iters left: 4 (105 enodes) 133.127 * * [simplify]: iters left: 3 (359 enodes) 133.360 * * [simplify]: Extracting #0: cost 1 inf + 0 133.360 * * [simplify]: Extracting #1: cost 3 inf + 0 133.360 * * [simplify]: Extracting #2: cost 6 inf + 0 133.360 * * [simplify]: Extracting #3: cost 117 inf + 1 133.361 * * [simplify]: Extracting #4: cost 234 inf + 336 133.363 * * [simplify]: Extracting #5: cost 191 inf + 4484 133.367 * * [simplify]: Extracting #6: cost 119 inf + 19165 133.388 * * [simplify]: Extracting #7: cost 7 inf + 45857 133.417 * * [simplify]: Extracting #8: cost 0 inf + 47305 133.443 * [simplify]: Simplified to (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 133.443 * [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)) J)) (cbrt (* (cos (/ K 2)) J))) (* (cbrt (cos (/ K 2))) (cbrt J)))))) 133.443 * * * * [progress]: [ 56 / 93 ] simplifiying candidate # 133.443 * [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)) J)) (cbrt (* (cos (/ K 2)) J))) (* (cbrt (cos (/ K 2))) (cbrt J)))) 133.443 * * [simplify]: iters left: 6 (25 enodes) 133.451 * * [simplify]: iters left: 5 (109 enodes) 133.475 * * [simplify]: iters left: 4 (272 enodes) 133.605 * * [simplify]: Extracting #0: cost 1 inf + 0 133.606 * * [simplify]: Extracting #1: cost 30 inf + 0 133.606 * * [simplify]: Extracting #2: cost 86 inf + 1 133.606 * * [simplify]: Extracting #3: cost 95 inf + 2 133.607 * * [simplify]: Extracting #4: cost 192 inf + 409 133.608 * * [simplify]: Extracting #5: cost 390 inf + 2526 133.621 * * [simplify]: Extracting #6: cost 247 inf + 62381 133.650 * * [simplify]: Extracting #7: cost 15 inf + 148669 133.701 * * [simplify]: Extracting #8: cost 0 inf + 153494 133.745 * * [simplify]: Extracting #9: cost 0 inf + 153401 133.818 * [simplify]: Simplified to (* (* (* -2 (cbrt (cos (/ K 2)))) (* (cbrt J) (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J))))) (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)))))) 133.818 * [simplify]: Simplified (2 1) to (λ (J K U) (/ (* (* (* -2 (cbrt (cos (/ K 2)))) (* (cbrt J) (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J))))) (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)))))) 133.819 * * * * [progress]: [ 57 / 93 ] simplifiying candidate # 133.819 * [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)) J)) (cbrt (* (cos (/ K 2)) J))) (* (cbrt (cos (/ K 2))) (cbrt J)))) 133.819 * * [simplify]: iters left: 6 (24 enodes) 133.833 * * [simplify]: iters left: 5 (101 enodes) 133.870 * * [simplify]: iters left: 4 (244 enodes) 134.038 * * [simplify]: Extracting #0: cost 1 inf + 0 134.038 * * [simplify]: Extracting #1: cost 30 inf + 0 134.039 * * [simplify]: Extracting #2: cost 86 inf + 1 134.040 * * [simplify]: Extracting #3: cost 96 inf + 205 134.041 * * [simplify]: Extracting #4: cost 188 inf + 410 134.046 * * [simplify]: Extracting #5: cost 325 inf + 13331 134.067 * * [simplify]: Extracting #6: cost 98 inf + 91705 134.109 * * [simplify]: Extracting #7: cost 0 inf + 127195 134.160 * * [simplify]: Extracting #8: cost 0 inf + 126999 134.199 * [simplify]: Simplified to (* (* (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J))) (* (cbrt (cos (/ K 2))) (cbrt J))) (* -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)))) 134.199 * [simplify]: Simplified (2 1) to (λ (J K U) (/ (* (* (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J))) (* (cbrt (cos (/ K 2))) (cbrt J))) (* -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)))) (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) 134.200 * * * * [progress]: [ 58 / 93 ] simplifiying candidate #real (real->posit16 (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J))) (* (cbrt (cos (/ K 2))) (cbrt J)))))))> 134.200 * * * * [progress]: [ 59 / 93 ] simplifiying candidate # 134.200 * * * * [progress]: [ 60 / 93 ] simplifiying candidate # 134.200 * * * * [progress]: [ 61 / 93 ] simplifiying candidate # 134.200 * * * * [progress]: [ 62 / 93 ] simplifiying candidate # 134.200 * * * * [progress]: [ 63 / 93 ] simplifiying candidate # 134.200 * * * * [progress]: [ 64 / 93 ] simplifiying candidate # 134.200 * [simplify]: Simplifying (cbrt (* (cbrt J) (cbrt J))) 134.200 * * [simplify]: iters left: 4 (4 enodes) 134.202 * * [simplify]: iters left: 3 (12 enodes) 134.205 * * [simplify]: Extracting #0: cost 1 inf + 0 134.205 * * [simplify]: Extracting #1: cost 3 inf + 0 134.205 * * [simplify]: Extracting #2: cost 5 inf + 0 134.205 * * [simplify]: Extracting #3: cost 7 inf + 0 134.205 * * [simplify]: Extracting #4: cost 6 inf + 1 134.206 * * [simplify]: Extracting #5: cost 0 inf + 807 134.206 * [simplify]: Simplified to (cbrt (* (cbrt J) (cbrt J))) 134.206 * [simplify]: Simplified (2 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)) J)) (cbrt (* (cos (/ K 2)) J))) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt J) (cbrt J))) (cbrt (cbrt J))))))) 134.206 * * * * [progress]: [ 65 / 93 ] simplifiying candidate # 134.206 * [simplify]: Simplifying (cbrt (sqrt J)) 134.207 * * [simplify]: iters left: 2 (3 enodes) 134.208 * * [simplify]: iters left: 1 (9 enodes) 134.211 * * [simplify]: Extracting #0: cost 1 inf + 0 134.211 * * [simplify]: Extracting #1: cost 3 inf + 0 134.211 * * [simplify]: Extracting #2: cost 5 inf + 0 134.211 * * [simplify]: Extracting #3: cost 4 inf + 1 134.211 * * [simplify]: Extracting #4: cost 0 inf + 325 134.211 * [simplify]: Simplified to (cbrt (sqrt J)) 134.211 * [simplify]: Simplified (2 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)) J)) (cbrt (* (cos (/ K 2)) J))) (* (cbrt (cos (/ K 2))) (* (cbrt (sqrt J)) (cbrt (sqrt J))))))) 134.211 * * * * [progress]: [ 66 / 93 ] simplifiying candidate # 134.212 * [simplify]: Simplifying (cbrt 1) 134.212 * * [simplify]: iters left: 1 (2 enodes) 134.215 * * [simplify]: Extracting #0: cost 1 inf + 0 134.215 * * [simplify]: Extracting #1: cost 0 inf + 1 134.215 * [simplify]: Simplified to 1 134.215 * [simplify]: Simplified (2 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)) J)) (cbrt (* (cos (/ K 2)) J))) (* (cbrt (cos (/ K 2))) (* 1 (cbrt J)))))) 134.215 * * * * [progress]: [ 67 / 93 ] simplifiying candidate # 134.215 * * * * [progress]: [ 68 / 93 ] simplifiying candidate # 134.215 * * * * [progress]: [ 69 / 93 ] simplifiying candidate # 134.215 * * * * [progress]: [ 70 / 93 ] simplifiying candidate # 134.216 * * * * [progress]: [ 71 / 93 ] simplifiying candidate #real (real->posit16 (cbrt J)))))))> 134.216 * * * * [progress]: [ 72 / 93 ] simplifiying candidate # 134.216 * * * * [progress]: [ 73 / 93 ] simplifiying candidate # 134.216 * * * * [progress]: [ 74 / 93 ] simplifiying candidate # 134.216 * * * * [progress]: [ 75 / 93 ] simplifiying candidate # 134.216 * * * * [progress]: [ 76 / 93 ] simplifiying candidate # 134.216 * [simplify]: Simplifying (cbrt (cos (/ K 2))) 134.216 * * [simplify]: iters left: 4 (5 enodes) 134.219 * * [simplify]: iters left: 3 (15 enodes) 134.223 * * [simplify]: Extracting #0: cost 1 inf + 0 134.223 * * [simplify]: Extracting #1: cost 3 inf + 0 134.224 * * [simplify]: Extracting #2: cost 5 inf + 0 134.224 * * [simplify]: Extracting #3: cost 8 inf + 0 134.224 * * [simplify]: Extracting #4: cost 6 inf + 2 134.224 * * [simplify]: Extracting #5: cost 0 inf + 654 134.224 * [simplify]: Simplified to (cbrt (cos (/ K 2))) 134.224 * [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)) J)) (* (cbrt (cos (/ K 2))) (cbrt J))) (* (cbrt (cos (/ K 2))) (cbrt J))))) 134.224 * * * * [progress]: [ 77 / 93 ] simplifiying candidate # 134.224 * * * * [progress]: [ 78 / 93 ] simplifiying candidate # 134.224 * * * * [progress]: [ 79 / 93 ] simplifiying candidate # 134.225 * * * * [progress]: [ 80 / 93 ] simplifiying candidate # 134.225 * * * * [progress]: [ 81 / 93 ] simplifiying candidate #real (real->posit16 (cbrt (* (cos (/ K 2)) J))))) (* (cbrt (cos (/ K 2))) (cbrt J)))))> 134.225 * * * * [progress]: [ 82 / 93 ] simplifiying candidate # 134.225 * [simplify]: Simplifying 1 134.225 * * [simplify]: iters left: 0 (1 enodes) 134.226 * * [simplify]: Extracting #0: cost 1 inf + 0 134.226 * * [simplify]: Extracting #1: cost 0 inf + 1 134.226 * [simplify]: Simplified to 1 134.226 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* 1 -2) (* (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J))) (* (cbrt (cos (/ K 2))) (cbrt J))))) 134.226 * * * * [progress]: [ 83 / 93 ] simplifiying candidate # 134.227 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 134.227 * * [simplify]: iters left: 6 (9 enodes) 134.231 * * [simplify]: iters left: 5 (34 enodes) 134.242 * * [simplify]: iters left: 4 (56 enodes) 134.259 * * [simplify]: iters left: 3 (90 enodes) 134.288 * * [simplify]: iters left: 2 (114 enodes) 134.319 * * [simplify]: iters left: 1 (131 enodes) 134.354 * * [simplify]: Extracting #0: cost 1 inf + 0 134.354 * * [simplify]: Extracting #1: cost 22 inf + 0 134.354 * * [simplify]: Extracting #2: cost 37 inf + 3 134.354 * * [simplify]: Extracting #3: cost 31 inf + 380 134.355 * * [simplify]: Extracting #4: cost 17 inf + 1834 134.356 * * [simplify]: Extracting #5: cost 3 inf + 4117 134.357 * * [simplify]: Extracting #6: cost 0 inf + 4586 134.358 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 134.358 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) -2) (* (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J))) (* (cbrt (cos (/ K 2))) (cbrt J))))) 134.358 * * * * [progress]: [ 84 / 93 ] simplifiying candidate # 134.358 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 134.358 * * [simplify]: iters left: 6 (9 enodes) 134.361 * * [simplify]: iters left: 5 (34 enodes) 134.366 * * [simplify]: iters left: 4 (56 enodes) 134.375 * * [simplify]: iters left: 3 (90 enodes) 134.400 * * [simplify]: iters left: 2 (114 enodes) 134.431 * * [simplify]: iters left: 1 (131 enodes) 134.454 * * [simplify]: Extracting #0: cost 1 inf + 0 134.454 * * [simplify]: Extracting #1: cost 22 inf + 0 134.454 * * [simplify]: Extracting #2: cost 37 inf + 3 134.455 * * [simplify]: Extracting #3: cost 31 inf + 380 134.455 * * [simplify]: Extracting #4: cost 17 inf + 1834 134.456 * * [simplify]: Extracting #5: cost 3 inf + 4117 134.457 * * [simplify]: Extracting #6: cost 0 inf + 4586 134.458 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 134.458 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) -2) (* (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J))) (* (cbrt (cos (/ K 2))) (cbrt J))))) 134.459 * * * * [progress]: [ 85 / 93 ] simplifiying candidate # 134.459 * [simplify]: Simplifying (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 134.459 * * [simplify]: iters left: 6 (10 enodes) 134.462 * * [simplify]: iters left: 5 (43 enodes) 134.472 * * [simplify]: iters left: 4 (79 enodes) 134.491 * * [simplify]: iters left: 3 (118 enodes) 134.511 * * [simplify]: iters left: 2 (171 enodes) 134.563 * * [simplify]: iters left: 1 (241 enodes) 134.624 * * [simplify]: Extracting #0: cost 1 inf + 0 134.624 * * [simplify]: Extracting #1: cost 6 inf + 0 134.624 * * [simplify]: Extracting #2: cost 41 inf + 0 134.625 * * [simplify]: Extracting #3: cost 56 inf + 213 134.627 * * [simplify]: Extracting #4: cost 20 inf + 2774 134.629 * * [simplify]: Extracting #5: cost 2 inf + 4494 134.632 * * [simplify]: Extracting #6: cost 0 inf + 4698 134.635 * [simplify]: Simplified to (- (* -2 J) (/ (* U U) (/ J 1/4))) 134.635 * [simplify]: Simplified (2) to (λ (J K U) (- (* -2 J) (/ (* U U) (/ J 1/4)))) 134.635 * * * * [progress]: [ 86 / 93 ] simplifiying candidate # 134.636 * [simplify]: Simplifying (* -1 U) 134.636 * * [simplify]: iters left: 2 (3 enodes) 134.638 * * [simplify]: iters left: 1 (11 enodes) 134.641 * * [simplify]: Extracting #0: cost 1 inf + 0 134.641 * * [simplify]: Extracting #1: cost 4 inf + 0 134.641 * * [simplify]: Extracting #2: cost 0 inf + 84 134.641 * [simplify]: Simplified to (- U) 134.641 * [simplify]: Simplified (2) to (λ (J K U) (- U)) 134.641 * * * * [progress]: [ 87 / 93 ] simplifiying candidate # 134.642 * [simplify]: Simplifying (* -1 U) 134.642 * * [simplify]: iters left: 2 (3 enodes) 134.644 * * [simplify]: iters left: 1 (11 enodes) 134.647 * * [simplify]: Extracting #0: cost 1 inf + 0 134.647 * * [simplify]: Extracting #1: cost 4 inf + 0 134.647 * * [simplify]: Extracting #2: cost 0 inf + 84 134.647 * [simplify]: Simplified to (- U) 134.647 * [simplify]: Simplified (2) to (λ (J K U) (- U)) 134.647 * * * * [progress]: [ 88 / 93 ] simplifiying candidate # 134.648 * [simplify]: Simplifying (pow J 1/3) 134.648 * * [simplify]: iters left: 1 (3 enodes) 134.650 * * [simplify]: Extracting #0: cost 1 inf + 0 134.650 * * [simplify]: Extracting #1: cost 5 inf + 0 134.650 * * [simplify]: Extracting #2: cost 4 inf + 2 134.650 * * [simplify]: Extracting #3: cost 0 inf + 377 134.650 * [simplify]: Simplified to (cbrt J) 134.650 * [simplify]: Simplified (2 2 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)) J)) (cbrt (* (cos (/ K 2)) J))) (* (cbrt (cos (/ K 2))) (cbrt J))))) 134.651 * * * * [progress]: [ 89 / 93 ] simplifiying candidate # 134.651 * [simplify]: Simplifying (pow (/ 1 J) -1/3) 134.651 * * [simplify]: iters left: 3 (5 enodes) 134.654 * * [simplify]: iters left: 2 (22 enodes) 134.664 * * [simplify]: iters left: 1 (38 enodes) 134.680 * * [simplify]: Extracting #0: cost 1 inf + 0 134.680 * * [simplify]: Extracting #1: cost 9 inf + 0 134.680 * * [simplify]: Extracting #2: cost 16 inf + 1 134.680 * * [simplify]: Extracting #3: cost 13 inf + 5 134.680 * * [simplify]: Extracting #4: cost 6 inf + 1102 134.681 * * [simplify]: Extracting #5: cost 0 inf + 3162 134.681 * [simplify]: Simplified to (pow (/ 1 J) -1/3) 134.681 * [simplify]: Simplified (2 2 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)) J)) (cbrt (* (cos (/ K 2)) J))) (* (cbrt (cos (/ K 2))) (pow (/ 1 J) -1/3))))) 134.682 * * * * [progress]: [ 90 / 93 ] simplifiying candidate # 134.682 * [simplify]: Simplifying (* (pow (* J -1) 1/3) (cbrt -1)) 134.682 * * [simplify]: iters left: 5 (7 enodes) 134.687 * * [simplify]: iters left: 4 (29 enodes) 134.698 * * [simplify]: iters left: 3 (48 enodes) 134.721 * * [simplify]: iters left: 2 (90 enodes) 134.757 * * [simplify]: iters left: 1 (181 enodes) 134.826 * * [simplify]: Extracting #0: cost 1 inf + 0 134.826 * * [simplify]: Extracting #1: cost 28 inf + 0 134.826 * * [simplify]: Extracting #2: cost 81 inf + 0 134.826 * * [simplify]: Extracting #3: cost 77 inf + 8 134.827 * * [simplify]: Extracting #4: cost 72 inf + 173 134.828 * * [simplify]: Extracting #5: cost 22 inf + 23157 134.832 * * [simplify]: Extracting #6: cost 0 inf + 38056 134.839 * * [simplify]: Extracting #7: cost 0 inf + 37794 134.846 * [simplify]: Simplified to (* (cbrt (- J)) (cbrt -1)) 134.846 * [simplify]: Simplified (2 2 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)) J)) (cbrt (* (cos (/ K 2)) J))) (* (cbrt (cos (/ K 2))) (* (cbrt (- J)) (cbrt -1)))))) 134.847 * * * * [progress]: [ 91 / 93 ] simplifiying candidate # 134.847 * [simplify]: Simplifying (- (pow J 1/3) (* 1/24 (* (pow K 2) (pow J 1/3)))) 134.847 * * [simplify]: iters left: 6 (10 enodes) 134.854 * * [simplify]: iters left: 5 (46 enodes) 134.873 * * [simplify]: iters left: 4 (100 enodes) 134.899 * * [simplify]: iters left: 3 (269 enodes) 135.024 * * [simplify]: Extracting #0: cost 1 inf + 0 135.024 * * [simplify]: Extracting #1: cost 15 inf + 0 135.025 * * [simplify]: Extracting #2: cost 112 inf + 0 135.026 * * [simplify]: Extracting #3: cost 168 inf + 2831 135.033 * * [simplify]: Extracting #4: cost 63 inf + 32703 135.050 * * [simplify]: Extracting #5: cost 4 inf + 56317 135.062 * * [simplify]: Extracting #6: cost 0 inf + 57742 135.068 * [simplify]: Simplified to (- (cbrt J) (* 1/24 (* (* K K) (cbrt J)))) 135.068 * [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)) J)) (- (cbrt J) (* 1/24 (* (* K K) (cbrt J))))) (* (cbrt (cos (/ K 2))) (cbrt J))))) 135.068 * * * * [progress]: [ 92 / 93 ] simplifiying candidate # 135.069 * [simplify]: Simplifying (exp (* 1/3 (- (log (cos (* 1/2 K))) (log (/ 1 J))))) 135.069 * * [simplify]: iters left: 6 (13 enodes) 135.073 * * [simplify]: iters left: 5 (51 enodes) 135.082 * * [simplify]: iters left: 4 (70 enodes) 135.097 * * [simplify]: iters left: 3 (116 enodes) 135.137 * * [simplify]: iters left: 2 (202 enodes) 135.188 * * [simplify]: iters left: 1 (349 enodes) 135.310 * * [simplify]: Extracting #0: cost 1 inf + 0 135.311 * * [simplify]: Extracting #1: cost 58 inf + 0 135.311 * * [simplify]: Extracting #2: cost 135 inf + 74 135.312 * * [simplify]: Extracting #3: cost 180 inf + 152 135.314 * * [simplify]: Extracting #4: cost 180 inf + 1552 135.318 * * [simplify]: Extracting #5: cost 113 inf + 18026 135.329 * * [simplify]: Extracting #6: cost 37 inf + 47616 135.343 * * [simplify]: Extracting #7: cost 2 inf + 74931 135.353 * * [simplify]: Extracting #8: cost 0 inf + 76328 135.362 * * [simplify]: Extracting #9: cost 0 inf + 76197 135.375 * [simplify]: Simplified to (cbrt (* J (cos (* K 1/2)))) 135.375 * [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)) J)) (cbrt (* J (cos (* K 1/2))))) (* (cbrt (cos (/ K 2))) (cbrt J))))) 135.375 * * * * [progress]: [ 93 / 93 ] simplifiying candidate # 135.376 * [simplify]: Simplifying (* (exp (* 1/3 (- (log (cos (* 1/2 K))) (log (/ -1 J))))) (cbrt -1)) 135.376 * * [simplify]: iters left: 6 (15 enodes) 135.388 * * [simplify]: iters left: 5 (55 enodes) 135.406 * * [simplify]: iters left: 4 (80 enodes) 135.429 * * [simplify]: iters left: 3 (143 enodes) 135.457 * * [simplify]: iters left: 2 (275 enodes) 135.561 * * [simplify]: Extracting #0: cost 1 inf + 0 135.561 * * [simplify]: Extracting #1: cost 27 inf + 0 135.561 * * [simplify]: Extracting #2: cost 99 inf + 0 135.562 * * [simplify]: Extracting #3: cost 160 inf + 78 135.564 * * [simplify]: Extracting #4: cost 156 inf + 4831 135.570 * * [simplify]: Extracting #5: cost 83 inf + 20402 135.581 * * [simplify]: Extracting #6: cost 30 inf + 38306 135.596 * * [simplify]: Extracting #7: cost 6 inf + 55013 135.613 * * [simplify]: Extracting #8: cost 0 inf + 60595 135.627 * * [simplify]: Extracting #9: cost 0 inf + 60436 135.635 * [simplify]: Simplified to (* (cbrt -1) (cbrt (* (cos (* K 1/2)) (* -1 J)))) 135.635 * [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)) J)) (* (cbrt -1) (cbrt (* (cos (* K 1/2)) (* -1 J))))) (* (cbrt (cos (/ K 2))) (cbrt J))))) 135.636 * * * [progress]: adding candidates to table 137.130 * [progress]: [Phase 3 of 3] Extracting. 137.130 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # #) 137.138 * * * [regime-changes]: Trying 5 branch expressions: (U K (/ K 2) (cos (/ K 2)) J) 137.138 * * * * [regimes]: Trying to branch on U from (# # # # # # # # # # # #) 137.290 * * * * [regimes]: Trying to branch on K from (# # # # # # # # # # # #) 137.357 * * * * [regimes]: Trying to branch on (/ K 2) from (# # # # # # # # # # # #) 137.482 * * * * [regimes]: Trying to branch on (/ K 2) from (# # # # # # # # # #) 137.563 * * * * [regimes]: Trying to branch on (cos (/ K 2)) from (# # # # # # # # # # # #) 137.678 * * * * [regimes]: Trying to branch on (cos (/ K 2)) from (# # # # # # # # # #) 137.777 * * * * [regimes]: Trying to branch on J from (# # # # # # # # # # # #) 137.897 * * * [regime]: Found split indices: #