0.002 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.165 * * * [progress]: [2/2] Setting up program. 0.170 * [progress]: [Phase 2 of 3] Improving. 0.170 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.170 * [simplify]: Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 0.170 * * [simplify]: iters left: 6 (17 enodes) 0.175 * * [simplify]: iters left: 5 (70 enodes) 0.215 * * [simplify]: iters left: 4 (126 enodes) 0.252 * * [simplify]: iters left: 3 (281 enodes) 0.350 * * [simplify]: Extracting #0: cost 1 inf + 0 0.350 * * [simplify]: Extracting #1: cost 16 inf + 0 0.350 * * [simplify]: Extracting #2: cost 28 inf + 2 0.351 * * [simplify]: Extracting #3: cost 32 inf + 86 0.351 * * [simplify]: Extracting #4: cost 96 inf + 131 0.353 * * [simplify]: Extracting #5: cost 194 inf + 1852 0.362 * * [simplify]: Extracting #6: cost 83 inf + 25392 0.381 * * [simplify]: Extracting #7: cost 12 inf + 46431 0.403 * * [simplify]: Extracting #8: cost 1 inf + 50227 0.428 * * [simplify]: Extracting #9: cost 0 inf + 50662 0.443 * [simplify]: Simplified to (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)) 0.443 * [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))) 0.451 * * [progress]: iteration 1 / 4 0.451 * * * [progress]: picking best candidate 0.455 * * * * [pick]: Picked # 0.455 * * * [progress]: localizing error 0.498 * * * [progress]: generating rewritten candidates 0.498 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.800 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 0.945 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 1.071 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.088 * * * [progress]: generating series expansions 1.088 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.089 * [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)))) 1.089 * [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 1.089 * [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 1.089 * [taylor]: Taking taylor expansion of -2 in J 1.089 * [backup-simplify]: Simplify -2 into -2 1.089 * [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 1.089 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 1.089 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.089 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.089 * [taylor]: Taking taylor expansion of 1/2 in J 1.089 * [backup-simplify]: Simplify 1/2 into 1/2 1.089 * [taylor]: Taking taylor expansion of K in J 1.089 * [backup-simplify]: Simplify K into K 1.090 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.090 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.090 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.090 * [taylor]: Taking taylor expansion of J in J 1.090 * [backup-simplify]: Simplify 0 into 0 1.090 * [backup-simplify]: Simplify 1 into 1 1.090 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 1.090 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 1.090 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 1.090 * [taylor]: Taking taylor expansion of 1/4 in J 1.090 * [backup-simplify]: Simplify 1/4 into 1/4 1.090 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 1.090 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.090 * [taylor]: Taking taylor expansion of U in J 1.090 * [backup-simplify]: Simplify U into U 1.090 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 1.090 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 1.090 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.090 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.090 * [taylor]: Taking taylor expansion of 1/2 in J 1.090 * [backup-simplify]: Simplify 1/2 into 1/2 1.090 * [taylor]: Taking taylor expansion of K in J 1.090 * [backup-simplify]: Simplify K into K 1.090 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.090 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.090 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.090 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.091 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.091 * [backup-simplify]: Simplify (- 0) into 0 1.091 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.091 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.092 * [taylor]: Taking taylor expansion of J in J 1.092 * [backup-simplify]: Simplify 0 into 0 1.092 * [backup-simplify]: Simplify 1 into 1 1.092 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.092 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.092 * [backup-simplify]: Simplify (* 1 1) into 1 1.092 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 1.093 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 1.093 * [taylor]: Taking taylor expansion of 1 in J 1.093 * [backup-simplify]: Simplify 1 into 1 1.093 * [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))) 1.093 * [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))) 1.093 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 1.093 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.094 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.095 * [backup-simplify]: Simplify (+ 0) into 0 1.095 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.096 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.096 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.097 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.097 * [backup-simplify]: Simplify (- 0) into 0 1.098 * [backup-simplify]: Simplify (+ 0 0) into 0 1.098 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 1.098 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 1.099 * [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 1.099 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 1.100 * [backup-simplify]: Simplify (+ 0 0) into 0 1.100 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 1.100 * [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 1.100 * [taylor]: Taking taylor expansion of -2 in K 1.100 * [backup-simplify]: Simplify -2 into -2 1.100 * [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 1.100 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 1.100 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.100 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.100 * [taylor]: Taking taylor expansion of 1/2 in K 1.100 * [backup-simplify]: Simplify 1/2 into 1/2 1.100 * [taylor]: Taking taylor expansion of K in K 1.100 * [backup-simplify]: Simplify 0 into 0 1.100 * [backup-simplify]: Simplify 1 into 1 1.100 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.101 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.101 * [taylor]: Taking taylor expansion of J in K 1.101 * [backup-simplify]: Simplify J into J 1.101 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 1.101 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 1.101 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 1.101 * [taylor]: Taking taylor expansion of 1/4 in K 1.101 * [backup-simplify]: Simplify 1/4 into 1/4 1.101 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 1.101 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.101 * [taylor]: Taking taylor expansion of U in K 1.101 * [backup-simplify]: Simplify U into U 1.101 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 1.101 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 1.101 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.101 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.101 * [taylor]: Taking taylor expansion of 1/2 in K 1.101 * [backup-simplify]: Simplify 1/2 into 1/2 1.101 * [taylor]: Taking taylor expansion of K in K 1.101 * [backup-simplify]: Simplify 0 into 0 1.101 * [backup-simplify]: Simplify 1 into 1 1.101 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.102 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.102 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.102 * [taylor]: Taking taylor expansion of J in K 1.102 * [backup-simplify]: Simplify J into J 1.102 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.102 * [backup-simplify]: Simplify (* 1 1) into 1 1.102 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.102 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 1.102 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 1.102 * [taylor]: Taking taylor expansion of 1 in K 1.102 * [backup-simplify]: Simplify 1 into 1 1.102 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 1.103 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1.103 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 1.103 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.103 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.103 * [backup-simplify]: Simplify (+ 0) into 0 1.103 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.104 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 1.104 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 1.104 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 1.104 * [backup-simplify]: Simplify (+ 0 0) into 0 1.105 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 1.105 * [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 1.105 * [taylor]: Taking taylor expansion of -2 in U 1.105 * [backup-simplify]: Simplify -2 into -2 1.105 * [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 1.105 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 1.105 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.105 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.105 * [taylor]: Taking taylor expansion of 1/2 in U 1.105 * [backup-simplify]: Simplify 1/2 into 1/2 1.105 * [taylor]: Taking taylor expansion of K in U 1.105 * [backup-simplify]: Simplify K into K 1.105 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.105 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.105 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.105 * [taylor]: Taking taylor expansion of J in U 1.105 * [backup-simplify]: Simplify J into J 1.105 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 1.105 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 1.105 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 1.105 * [taylor]: Taking taylor expansion of 1/4 in U 1.105 * [backup-simplify]: Simplify 1/4 into 1/4 1.105 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 1.105 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.105 * [taylor]: Taking taylor expansion of U in U 1.105 * [backup-simplify]: Simplify 0 into 0 1.105 * [backup-simplify]: Simplify 1 into 1 1.105 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 1.105 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 1.105 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.105 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.105 * [taylor]: Taking taylor expansion of 1/2 in U 1.105 * [backup-simplify]: Simplify 1/2 into 1/2 1.105 * [taylor]: Taking taylor expansion of K in U 1.105 * [backup-simplify]: Simplify K into K 1.105 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.105 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.105 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.105 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.106 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.106 * [backup-simplify]: Simplify (- 0) into 0 1.106 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.106 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.106 * [taylor]: Taking taylor expansion of J in U 1.106 * [backup-simplify]: Simplify J into J 1.106 * [backup-simplify]: Simplify (* 1 1) into 1 1.106 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.106 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.106 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 1.106 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.106 * [taylor]: Taking taylor expansion of 1 in U 1.107 * [backup-simplify]: Simplify 1 into 1 1.107 * [backup-simplify]: Simplify (+ 0 1) into 1 1.107 * [backup-simplify]: Simplify (sqrt 1) into 1 1.107 * [backup-simplify]: Simplify (+ 0 0) into 0 1.108 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.108 * [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 1.108 * [taylor]: Taking taylor expansion of -2 in U 1.108 * [backup-simplify]: Simplify -2 into -2 1.108 * [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 1.108 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 1.108 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.108 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.108 * [taylor]: Taking taylor expansion of 1/2 in U 1.108 * [backup-simplify]: Simplify 1/2 into 1/2 1.108 * [taylor]: Taking taylor expansion of K in U 1.108 * [backup-simplify]: Simplify K into K 1.108 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.108 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.108 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.108 * [taylor]: Taking taylor expansion of J in U 1.108 * [backup-simplify]: Simplify J into J 1.108 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 1.108 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 1.108 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 1.108 * [taylor]: Taking taylor expansion of 1/4 in U 1.108 * [backup-simplify]: Simplify 1/4 into 1/4 1.108 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 1.108 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.108 * [taylor]: Taking taylor expansion of U in U 1.108 * [backup-simplify]: Simplify 0 into 0 1.108 * [backup-simplify]: Simplify 1 into 1 1.108 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 1.108 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 1.108 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.108 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.108 * [taylor]: Taking taylor expansion of 1/2 in U 1.108 * [backup-simplify]: Simplify 1/2 into 1/2 1.108 * [taylor]: Taking taylor expansion of K in U 1.108 * [backup-simplify]: Simplify K into K 1.108 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.108 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.108 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.108 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.109 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.109 * [backup-simplify]: Simplify (- 0) into 0 1.109 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.109 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.109 * [taylor]: Taking taylor expansion of J in U 1.109 * [backup-simplify]: Simplify J into J 1.109 * [backup-simplify]: Simplify (* 1 1) into 1 1.109 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.109 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.109 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 1.109 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.110 * [taylor]: Taking taylor expansion of 1 in U 1.110 * [backup-simplify]: Simplify 1 into 1 1.110 * [backup-simplify]: Simplify (+ 0 1) into 1 1.110 * [backup-simplify]: Simplify (sqrt 1) into 1 1.110 * [backup-simplify]: Simplify (+ 0 0) into 0 1.111 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.111 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.111 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.111 * [backup-simplify]: Simplify (- 0) into 0 1.111 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.111 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 1.111 * [backup-simplify]: Simplify (* (* (cos (* 1/2 K)) J) 1) into (* (cos (* 1/2 K)) J) 1.111 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J)) 1.111 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in K 1.111 * [taylor]: Taking taylor expansion of -2 in K 1.111 * [backup-simplify]: Simplify -2 into -2 1.111 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 1.111 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.111 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.111 * [taylor]: Taking taylor expansion of 1/2 in K 1.112 * [backup-simplify]: Simplify 1/2 into 1/2 1.112 * [taylor]: Taking taylor expansion of K in K 1.112 * [backup-simplify]: Simplify 0 into 0 1.112 * [backup-simplify]: Simplify 1 into 1 1.112 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.112 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.112 * [taylor]: Taking taylor expansion of J in K 1.112 * [backup-simplify]: Simplify J into J 1.112 * [backup-simplify]: Simplify (* 1 J) into J 1.112 * [backup-simplify]: Simplify (* -2 J) into (* -2 J) 1.112 * [taylor]: Taking taylor expansion of (* -2 J) in J 1.112 * [taylor]: Taking taylor expansion of -2 in J 1.112 * [backup-simplify]: Simplify -2 into -2 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 1.113 * [backup-simplify]: Simplify (+ 0) into 0 1.113 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.113 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.114 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.114 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.114 * [backup-simplify]: Simplify (- 0) into 0 1.115 * [backup-simplify]: Simplify (+ 0 0) into 0 1.115 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 1.115 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (* 0 1)) into 0 1.115 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0 1.115 * [taylor]: Taking taylor expansion of 0 in K 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 1.116 * [backup-simplify]: Simplify (+ 0) into 0 1.116 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 1.116 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 J)) into 0 1.116 * [taylor]: Taking taylor expansion of 0 in J 1.116 * [backup-simplify]: Simplify 0 into 0 1.116 * [backup-simplify]: Simplify (* -2 0) into 0 1.117 * [backup-simplify]: Simplify 0 into 0 1.117 * [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))) 1.117 * [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)))) 1.118 * [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))) 1.118 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.119 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.119 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 1.120 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.120 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.120 * [backup-simplify]: Simplify (- 0) into 0 1.120 * [backup-simplify]: Simplify (+ 0 0) into 0 1.121 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0 1.121 * [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))) 1.122 * [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)))) 1.122 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in K 1.122 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in K 1.122 * [taylor]: Taking taylor expansion of 1/4 in K 1.122 * [backup-simplify]: Simplify 1/4 into 1/4 1.122 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in K 1.122 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 1.122 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.122 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.122 * [taylor]: Taking taylor expansion of 1/2 in K 1.122 * [backup-simplify]: Simplify 1/2 into 1/2 1.122 * [taylor]: Taking taylor expansion of K in K 1.122 * [backup-simplify]: Simplify 0 into 0 1.122 * [backup-simplify]: Simplify 1 into 1 1.122 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.123 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.123 * [taylor]: Taking taylor expansion of J in K 1.123 * [backup-simplify]: Simplify J into J 1.123 * [backup-simplify]: Simplify (* 1 J) into J 1.123 * [backup-simplify]: Simplify (/ 1 J) into (/ 1 J) 1.123 * [backup-simplify]: Simplify (* 1/4 (/ 1 J)) into (/ 1/4 J) 1.123 * [backup-simplify]: Simplify (- (/ 1/4 J)) into (- (* 1/4 (/ 1 J))) 1.123 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 J))) in J 1.123 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 J)) in J 1.123 * [taylor]: Taking taylor expansion of 1/4 in J 1.123 * [backup-simplify]: Simplify 1/4 into 1/4 1.123 * [taylor]: Taking taylor expansion of (/ 1 J) in J 1.123 * [taylor]: Taking taylor expansion of J in J 1.123 * [backup-simplify]: Simplify 0 into 0 1.123 * [backup-simplify]: Simplify 1 into 1 1.123 * [backup-simplify]: Simplify (/ 1 1) into 1 1.124 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 1.124 * [backup-simplify]: Simplify (- 1/4) into -1/4 1.124 * [backup-simplify]: Simplify -1/4 into -1/4 1.124 * [taylor]: Taking taylor expansion of 0 in J 1.124 * [backup-simplify]: Simplify 0 into 0 1.124 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 1.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J)) 1.128 * [backup-simplify]: Simplify (+ (* -2 (- (* 1/8 J))) (+ (* 0 0) (* 0 J))) into (* 1/4 J) 1.128 * [taylor]: Taking taylor expansion of (* 1/4 J) in J 1.128 * [taylor]: Taking taylor expansion of 1/4 in J 1.128 * [backup-simplify]: Simplify 1/4 into 1/4 1.128 * [taylor]: Taking taylor expansion of J in J 1.128 * [backup-simplify]: Simplify 0 into 0 1.128 * [backup-simplify]: Simplify 1 into 1 1.128 * [backup-simplify]: Simplify 0 into 0 1.128 * [backup-simplify]: Simplify 0 into 0 1.128 * [backup-simplify]: Simplify (+ (* -2 1) (* 0 0)) into -2 1.128 * [backup-simplify]: Simplify -2 into -2 1.129 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.129 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.129 * [backup-simplify]: Simplify (+ 0) into 0 1.129 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.130 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.130 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.130 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.130 * [backup-simplify]: Simplify (- 0) into 0 1.131 * [backup-simplify]: Simplify (+ 0 0) into 0 1.131 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 1.131 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 1.131 * [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 1.132 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 1.132 * [backup-simplify]: Simplify (+ 0 0) into 0 1.132 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 1.133 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.133 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.134 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 1.135 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.135 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.136 * [backup-simplify]: Simplify (- 0) into 0 1.136 * [backup-simplify]: Simplify (+ 0 0) into 0 1.137 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 1.137 * [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 1.138 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0 1.138 * [taylor]: Taking taylor expansion of 0 in K 1.138 * [backup-simplify]: Simplify 0 into 0 1.138 * [taylor]: Taking taylor expansion of 0 in J 1.138 * [backup-simplify]: Simplify 0 into 0 1.138 * [backup-simplify]: Simplify (+ 0) into 0 1.138 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 1.139 * [backup-simplify]: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 1.139 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 J))) into 0 1.139 * [backup-simplify]: Simplify (- 0) into 0 1.139 * [taylor]: Taking taylor expansion of 0 in J 1.139 * [backup-simplify]: Simplify 0 into 0 1.139 * [taylor]: Taking taylor expansion of 0 in J 1.139 * [backup-simplify]: Simplify 0 into 0 1.140 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1.140 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0 1.142 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (- (* 1/8 J))) (+ (* 0 0) (* 0 J)))) into 0 1.142 * [taylor]: Taking taylor expansion of 0 in J 1.142 * [backup-simplify]: Simplify 0 into 0 1.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.143 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 1.143 * [backup-simplify]: Simplify (- 0) into 0 1.143 * [backup-simplify]: Simplify 0 into 0 1.143 * [backup-simplify]: Simplify 0 into 0 1.143 * [backup-simplify]: Simplify (* 1/4 0) into 0 1.143 * [backup-simplify]: Simplify 0 into 0 1.143 * [backup-simplify]: Simplify 0 into 0 1.143 * [backup-simplify]: Simplify 0 into 0 1.144 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0 1.144 * [backup-simplify]: Simplify 0 into 0 1.145 * [backup-simplify]: Simplify (+ (* -2 (* J (* 1 1))) (* -1/4 (* (/ 1 J) (* 1 (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 1.145 * [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))) 1.145 * [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 1.145 * [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 1.145 * [taylor]: Taking taylor expansion of -2 in J 1.145 * [backup-simplify]: Simplify -2 into -2 1.145 * [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 1.145 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 1.145 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 1.145 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 1.145 * [taylor]: Taking taylor expansion of 1/4 in J 1.145 * [backup-simplify]: Simplify 1/4 into 1/4 1.145 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 1.145 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.145 * [taylor]: Taking taylor expansion of J in J 1.145 * [backup-simplify]: Simplify 0 into 0 1.145 * [backup-simplify]: Simplify 1 into 1 1.145 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 1.145 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.145 * [taylor]: Taking taylor expansion of U in J 1.145 * [backup-simplify]: Simplify U into U 1.145 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 1.145 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.145 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.145 * [taylor]: Taking taylor expansion of 1/2 in J 1.145 * [backup-simplify]: Simplify 1/2 into 1/2 1.145 * [taylor]: Taking taylor expansion of K in J 1.146 * [backup-simplify]: Simplify K into K 1.146 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.146 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.146 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.146 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.146 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.146 * [backup-simplify]: Simplify (- 0) into 0 1.146 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.146 * [backup-simplify]: Simplify (* 1 1) into 1 1.146 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.146 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.147 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 1.147 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 1.147 * [taylor]: Taking taylor expansion of 1 in J 1.147 * [backup-simplify]: Simplify 1 into 1 1.147 * [backup-simplify]: Simplify (+ 0 1) into 1 1.147 * [backup-simplify]: Simplify (sqrt 1) into 1 1.147 * [backup-simplify]: Simplify (+ 0 0) into 0 1.148 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.148 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 1.148 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.148 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.148 * [taylor]: Taking taylor expansion of 1/2 in J 1.148 * [backup-simplify]: Simplify 1/2 into 1/2 1.148 * [taylor]: Taking taylor expansion of K in J 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 * [taylor]: Taking taylor expansion of J in J 1.148 * [backup-simplify]: Simplify 0 into 0 1.148 * [backup-simplify]: Simplify 1 into 1 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 (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.149 * [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 1.149 * [taylor]: Taking taylor expansion of -2 in K 1.149 * [backup-simplify]: Simplify -2 into -2 1.149 * [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 1.149 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 1.149 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 1.149 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 1.149 * [taylor]: Taking taylor expansion of 1/4 in K 1.149 * [backup-simplify]: Simplify 1/4 into 1/4 1.149 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 1.149 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.149 * [taylor]: Taking taylor expansion of J in K 1.149 * [backup-simplify]: Simplify J into J 1.149 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 1.149 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.149 * [taylor]: Taking taylor expansion of U in K 1.149 * [backup-simplify]: Simplify U into U 1.149 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 1.149 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.149 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.149 * [taylor]: Taking taylor expansion of 1/2 in K 1.149 * [backup-simplify]: Simplify 1/2 into 1/2 1.149 * [taylor]: Taking taylor expansion of K in K 1.149 * [backup-simplify]: Simplify 0 into 0 1.149 * [backup-simplify]: Simplify 1 into 1 1.149 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.149 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.149 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.149 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.150 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.150 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 1.150 * [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))) 1.150 * [taylor]: Taking taylor expansion of 1 in K 1.150 * [backup-simplify]: Simplify 1 into 1 1.150 * [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)))) 1.150 * [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) 1.150 * [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)) 1.150 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.150 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.151 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.151 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.151 * [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 1.152 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 1.152 * [backup-simplify]: Simplify (+ 0 0) into 0 1.152 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 1.152 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 1.152 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.152 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.152 * [taylor]: Taking taylor expansion of 1/2 in K 1.152 * [backup-simplify]: Simplify 1/2 into 1/2 1.152 * [taylor]: Taking taylor expansion of K in K 1.152 * [backup-simplify]: Simplify 0 into 0 1.152 * [backup-simplify]: Simplify 1 into 1 1.152 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.152 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.153 * [taylor]: Taking taylor expansion of J in K 1.153 * [backup-simplify]: Simplify J into J 1.153 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 1.153 * [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 1.153 * [taylor]: Taking taylor expansion of -2 in U 1.153 * [backup-simplify]: Simplify -2 into -2 1.153 * [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 1.153 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 1.153 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 1.153 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 1.153 * [taylor]: Taking taylor expansion of 1/4 in U 1.153 * [backup-simplify]: Simplify 1/4 into 1/4 1.153 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 1.153 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.153 * [taylor]: Taking taylor expansion of J in U 1.153 * [backup-simplify]: Simplify J into J 1.153 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 1.153 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.153 * [taylor]: Taking taylor expansion of U in U 1.153 * [backup-simplify]: Simplify 0 into 0 1.153 * [backup-simplify]: Simplify 1 into 1 1.153 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 1.153 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.153 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.153 * [taylor]: Taking taylor expansion of 1/2 in U 1.153 * [backup-simplify]: Simplify 1/2 into 1/2 1.153 * [taylor]: Taking taylor expansion of K in U 1.153 * [backup-simplify]: Simplify K into K 1.153 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.153 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.153 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.153 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.153 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.153 * [backup-simplify]: Simplify (- 0) into 0 1.154 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.154 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.154 * [backup-simplify]: Simplify (* 1 1) into 1 1.154 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.154 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 1.154 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 1.154 * [taylor]: Taking taylor expansion of 1 in U 1.154 * [backup-simplify]: Simplify 1 into 1 1.154 * [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))) 1.154 * [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))) 1.154 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.155 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.155 * [backup-simplify]: Simplify (+ 0) into 0 1.155 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.155 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.156 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.156 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.156 * [backup-simplify]: Simplify (- 0) into 0 1.156 * [backup-simplify]: Simplify (+ 0 0) into 0 1.157 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.157 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.157 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.157 * [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 1.158 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 1.158 * [backup-simplify]: Simplify (+ 0 0) into 0 1.158 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.158 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 1.158 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.158 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.158 * [taylor]: Taking taylor expansion of 1/2 in U 1.158 * [backup-simplify]: Simplify 1/2 into 1/2 1.159 * [taylor]: Taking taylor expansion of K in U 1.159 * [backup-simplify]: Simplify K into K 1.159 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.159 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.159 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.159 * [taylor]: Taking taylor expansion of J in U 1.159 * [backup-simplify]: Simplify J into J 1.159 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.159 * [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 (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 1.159 * [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 1.159 * [taylor]: Taking taylor expansion of -2 in U 1.159 * [backup-simplify]: Simplify -2 into -2 1.159 * [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 1.159 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 1.159 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 1.159 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 1.159 * [taylor]: Taking taylor expansion of 1/4 in U 1.159 * [backup-simplify]: Simplify 1/4 into 1/4 1.159 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 1.159 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.159 * [taylor]: Taking taylor expansion of J in U 1.159 * [backup-simplify]: Simplify J into J 1.160 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 1.160 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.160 * [taylor]: Taking taylor expansion of U in U 1.160 * [backup-simplify]: Simplify 0 into 0 1.160 * [backup-simplify]: Simplify 1 into 1 1.160 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 1.160 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.160 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.160 * [taylor]: Taking taylor expansion of 1/2 in U 1.160 * [backup-simplify]: Simplify 1/2 into 1/2 1.160 * [taylor]: Taking taylor expansion of K in U 1.160 * [backup-simplify]: Simplify K into K 1.160 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.160 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.160 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.160 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.160 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.160 * [backup-simplify]: Simplify (- 0) into 0 1.160 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.160 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.160 * [backup-simplify]: Simplify (* 1 1) into 1 1.161 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.161 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 1.161 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 1.161 * [taylor]: Taking taylor expansion of 1 in U 1.161 * [backup-simplify]: Simplify 1 into 1 1.161 * [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))) 1.161 * [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))) 1.161 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.161 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.161 * [backup-simplify]: Simplify (+ 0) into 0 1.162 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.162 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.162 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.163 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.163 * [backup-simplify]: Simplify (- 0) into 0 1.163 * [backup-simplify]: Simplify (+ 0 0) into 0 1.163 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.164 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.164 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.165 * [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 1.165 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 1.166 * [backup-simplify]: Simplify (+ 0 0) into 0 1.166 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.166 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 1.166 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.166 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.166 * [taylor]: Taking taylor expansion of 1/2 in U 1.166 * [backup-simplify]: Simplify 1/2 into 1/2 1.166 * [taylor]: Taking taylor expansion of K in U 1.166 * [backup-simplify]: Simplify K into K 1.166 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.166 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.166 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.166 * [taylor]: Taking taylor expansion of J in U 1.166 * [backup-simplify]: Simplify J into J 1.166 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.167 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.167 * [backup-simplify]: Simplify (- 0) into 0 1.167 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.167 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 1.167 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ (cos (/ 1/2 K)) J)) into 1/2 1.168 * [backup-simplify]: Simplify (* -2 1/2) into -1 1.168 * [taylor]: Taking taylor expansion of -1 in K 1.168 * [backup-simplify]: Simplify -1 into -1 1.168 * [taylor]: Taking taylor expansion of -1 in J 1.168 * [backup-simplify]: Simplify -1 into -1 1.168 * [backup-simplify]: Simplify (+ 0) into 0 1.169 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.169 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.170 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.170 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.171 * [backup-simplify]: Simplify (- 0) into 0 1.171 * [backup-simplify]: Simplify (+ 0 0) into 0 1.171 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 1.171 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (/ (cos (/ 1/2 K)) J))) into 0 1.172 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0 1.172 * [taylor]: Taking taylor expansion of 0 in K 1.172 * [backup-simplify]: Simplify 0 into 0 1.172 * [taylor]: Taking taylor expansion of 0 in J 1.172 * [backup-simplify]: Simplify 0 into 0 1.172 * [taylor]: Taking taylor expansion of 0 in J 1.172 * [backup-simplify]: Simplify 0 into 0 1.172 * [backup-simplify]: Simplify -1 into -1 1.173 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.174 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.174 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.175 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.176 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.177 * [backup-simplify]: Simplify (- 0) into 0 1.177 * [backup-simplify]: Simplify (+ 0 0) into 0 1.177 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.178 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.179 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.179 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.179 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.180 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.181 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.181 * [backup-simplify]: Simplify (- 0) into 0 1.182 * [backup-simplify]: Simplify (+ 0 0) into 0 1.182 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 1.183 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.184 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 1.184 * [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 1.185 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 1.186 * [backup-simplify]: Simplify (+ 0 1) into 1 1.187 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 1.188 * [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)) 1.189 * [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)))) 1.189 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in K 1.189 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in K 1.189 * [taylor]: Taking taylor expansion of 2 in K 1.189 * [backup-simplify]: Simplify 2 into 2 1.189 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in K 1.189 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 1.189 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.189 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.189 * [taylor]: Taking taylor expansion of 1/2 in K 1.189 * [backup-simplify]: Simplify 1/2 into 1/2 1.189 * [taylor]: Taking taylor expansion of K in K 1.189 * [backup-simplify]: Simplify 0 into 0 1.189 * [backup-simplify]: Simplify 1 into 1 1.190 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.190 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.190 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.190 * [taylor]: Taking taylor expansion of J in K 1.190 * [backup-simplify]: Simplify J into J 1.190 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.190 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.190 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 1.190 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) into (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 1.191 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) 1.191 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J 1.191 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J 1.191 * [taylor]: Taking taylor expansion of 2 in J 1.191 * [backup-simplify]: Simplify 2 into 2 1.191 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J 1.191 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 1.191 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.191 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.191 * [taylor]: Taking taylor expansion of 1/2 in J 1.191 * [backup-simplify]: Simplify 1/2 into 1/2 1.191 * [taylor]: Taking taylor expansion of K in J 1.191 * [backup-simplify]: Simplify K into K 1.191 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.191 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.191 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.191 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.191 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.192 * [backup-simplify]: Simplify (- 0) into 0 1.192 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.192 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.192 * [taylor]: Taking taylor expansion of J in J 1.192 * [backup-simplify]: Simplify 0 into 0 1.192 * [backup-simplify]: Simplify 1 into 1 1.192 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.192 * [backup-simplify]: Simplify (* 1 1) into 1 1.192 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 1.193 * [backup-simplify]: Simplify (+ 0) into 0 1.193 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.194 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.194 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.195 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.195 * [backup-simplify]: Simplify (- 0) into 0 1.195 * [backup-simplify]: Simplify (+ 0 0) into 0 1.196 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.196 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.197 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 1.198 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.198 * [backup-simplify]: Simplify (- 0) into 0 1.198 * [backup-simplify]: Simplify 0 into 0 1.198 * [taylor]: Taking taylor expansion of 0 in J 1.198 * [backup-simplify]: Simplify 0 into 0 1.198 * [taylor]: Taking taylor expansion of 0 in J 1.198 * [backup-simplify]: Simplify 0 into 0 1.198 * [backup-simplify]: Simplify 0 into 0 1.198 * [backup-simplify]: Simplify 0 into 0 1.199 * [backup-simplify]: Simplify 0 into 0 1.199 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.200 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.201 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.202 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.203 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.203 * [backup-simplify]: Simplify (- 0) into 0 1.204 * [backup-simplify]: Simplify (+ 0 0) into 0 1.204 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.205 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 1.206 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.207 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.207 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.208 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.208 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.209 * [backup-simplify]: Simplify (- 0) into 0 1.209 * [backup-simplify]: Simplify (+ 0 0) into 0 1.209 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 1.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 1.211 * [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 1.212 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.212 * [backup-simplify]: Simplify (+ 0 0) into 0 1.212 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 1.213 * [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 1.213 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 1.213 * [taylor]: Taking taylor expansion of 0 in K 1.213 * [backup-simplify]: Simplify 0 into 0 1.213 * [taylor]: Taking taylor expansion of 0 in J 1.213 * [backup-simplify]: Simplify 0 into 0 1.214 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.214 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.214 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 1.214 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) into 0 1.214 * [backup-simplify]: Simplify (- 0) into 0 1.214 * [taylor]: Taking taylor expansion of 0 in J 1.214 * [backup-simplify]: Simplify 0 into 0 1.215 * [taylor]: Taking taylor expansion of 0 in J 1.215 * [backup-simplify]: Simplify 0 into 0 1.215 * [taylor]: Taking taylor expansion of 0 in J 1.215 * [backup-simplify]: Simplify 0 into 0 1.215 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.216 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.216 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.216 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.216 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.217 * [backup-simplify]: Simplify (- 0) into 0 1.217 * [backup-simplify]: Simplify (+ 0 0) into 0 1.217 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 1.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.219 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.219 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 1.220 * [backup-simplify]: Simplify (- 0) into 0 1.220 * [backup-simplify]: Simplify 0 into 0 1.220 * [backup-simplify]: Simplify 0 into 0 1.220 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U) 1.220 * [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)))))))) 1.220 * [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 1.220 * [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 1.220 * [taylor]: Taking taylor expansion of 2 in J 1.220 * [backup-simplify]: Simplify 2 into 2 1.220 * [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 1.220 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 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)) 1.221 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.221 * [taylor]: Taking taylor expansion of J in J 1.221 * [backup-simplify]: Simplify 0 into 0 1.221 * [backup-simplify]: Simplify 1 into 1 1.221 * [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 (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.221 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 1.221 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 1.221 * [taylor]: Taking taylor expansion of 1 in J 1.221 * [backup-simplify]: Simplify 1 into 1 1.221 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 1.221 * [taylor]: Taking taylor expansion of 1/4 in J 1.221 * [backup-simplify]: Simplify 1/4 into 1/4 1.221 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 1.221 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.221 * [taylor]: Taking taylor expansion of J in J 1.221 * [backup-simplify]: Simplify 0 into 0 1.221 * [backup-simplify]: Simplify 1 into 1 1.221 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 1.221 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 1.221 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.221 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.221 * [taylor]: Taking taylor expansion of -1/2 in J 1.221 * [backup-simplify]: Simplify -1/2 into -1/2 1.221 * [taylor]: Taking taylor expansion of K in J 1.221 * [backup-simplify]: Simplify K into K 1.221 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.221 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.222 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.222 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.222 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.222 * [backup-simplify]: Simplify (- 0) into 0 1.222 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.222 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.222 * [taylor]: Taking taylor expansion of U in J 1.222 * [backup-simplify]: Simplify U into U 1.222 * [backup-simplify]: Simplify (* 1 1) into 1 1.222 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.222 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.222 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 1.223 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 1.223 * [backup-simplify]: Simplify (+ 1 0) into 1 1.223 * [backup-simplify]: Simplify (sqrt 1) into 1 1.223 * [backup-simplify]: Simplify (+ 0 0) into 0 1.224 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.224 * [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 1.224 * [taylor]: Taking taylor expansion of 2 in K 1.224 * [backup-simplify]: Simplify 2 into 2 1.224 * [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 1.224 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 1.224 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.224 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.224 * [taylor]: Taking taylor expansion of -1/2 in K 1.224 * [backup-simplify]: Simplify -1/2 into -1/2 1.224 * [taylor]: Taking taylor expansion of K in K 1.224 * [backup-simplify]: Simplify 0 into 0 1.224 * [backup-simplify]: Simplify 1 into 1 1.224 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.224 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.224 * [taylor]: Taking taylor expansion of J in K 1.224 * [backup-simplify]: Simplify J into J 1.224 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 1.224 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 1.224 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 1.224 * [taylor]: Taking taylor expansion of 1 in K 1.224 * [backup-simplify]: Simplify 1 into 1 1.224 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 1.224 * [taylor]: Taking taylor expansion of 1/4 in K 1.224 * [backup-simplify]: Simplify 1/4 into 1/4 1.224 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 1.225 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.225 * [taylor]: Taking taylor expansion of J in K 1.225 * [backup-simplify]: Simplify J into J 1.225 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 1.225 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 1.225 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.225 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.225 * [taylor]: Taking taylor expansion of -1/2 in K 1.225 * [backup-simplify]: Simplify -1/2 into -1/2 1.225 * [taylor]: Taking taylor expansion of K in K 1.225 * [backup-simplify]: Simplify 0 into 0 1.225 * [backup-simplify]: Simplify 1 into 1 1.225 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.225 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.225 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.225 * [taylor]: Taking taylor expansion of U in K 1.225 * [backup-simplify]: Simplify U into U 1.225 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.225 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.225 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.225 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 1.225 * [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))) 1.226 * [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)))) 1.226 * [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))))) 1.226 * [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)))))) 1.226 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.226 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.226 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.226 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 1.227 * [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 1.227 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 1.227 * [backup-simplify]: Simplify (+ 0 0) into 0 1.228 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 1.228 * [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 1.228 * [taylor]: Taking taylor expansion of 2 in U 1.228 * [backup-simplify]: Simplify 2 into 2 1.228 * [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 1.228 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 1.228 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.228 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.228 * [taylor]: Taking taylor expansion of -1/2 in U 1.228 * [backup-simplify]: Simplify -1/2 into -1/2 1.228 * [taylor]: Taking taylor expansion of K in U 1.228 * [backup-simplify]: Simplify K into K 1.228 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.228 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.228 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.228 * [taylor]: Taking taylor expansion of J in U 1.228 * [backup-simplify]: Simplify J into J 1.228 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.228 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.228 * [backup-simplify]: Simplify (- 0) into 0 1.228 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.228 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 1.228 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 1.228 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 1.228 * [taylor]: Taking taylor expansion of 1 in U 1.228 * [backup-simplify]: Simplify 1 into 1 1.228 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 1.228 * [taylor]: Taking taylor expansion of 1/4 in U 1.228 * [backup-simplify]: Simplify 1/4 into 1/4 1.228 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 1.228 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.229 * [taylor]: Taking taylor expansion of J in U 1.229 * [backup-simplify]: Simplify J into J 1.229 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 1.229 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 1.229 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.229 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.229 * [taylor]: Taking taylor expansion of -1/2 in U 1.229 * [backup-simplify]: Simplify -1/2 into -1/2 1.229 * [taylor]: Taking taylor expansion of K in U 1.229 * [backup-simplify]: Simplify K into K 1.229 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.229 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.229 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.229 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.229 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.229 * [backup-simplify]: Simplify (- 0) into 0 1.229 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.229 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.229 * [taylor]: Taking taylor expansion of U in U 1.229 * [backup-simplify]: Simplify 0 into 0 1.229 * [backup-simplify]: Simplify 1 into 1 1.229 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.229 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.230 * [backup-simplify]: Simplify (* 1 1) into 1 1.230 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 1.230 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 1.230 * [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))) 1.230 * [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))) 1.230 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.230 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.231 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.231 * [backup-simplify]: Simplify (+ 0) into 0 1.231 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.231 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.232 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.232 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.232 * [backup-simplify]: Simplify (- 0) into 0 1.232 * [backup-simplify]: Simplify (+ 0 0) into 0 1.233 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.233 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 1.233 * [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 1.233 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 1.234 * [backup-simplify]: Simplify (+ 0 0) into 0 1.234 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 1.234 * [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 1.234 * [taylor]: Taking taylor expansion of 2 in U 1.234 * [backup-simplify]: Simplify 2 into 2 1.234 * [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 1.234 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 1.234 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.234 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.234 * [taylor]: Taking taylor expansion of -1/2 in U 1.234 * [backup-simplify]: Simplify -1/2 into -1/2 1.234 * [taylor]: Taking taylor expansion of K in U 1.234 * [backup-simplify]: Simplify K into K 1.234 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.234 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.234 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.234 * [taylor]: Taking taylor expansion of J in U 1.234 * [backup-simplify]: Simplify J into J 1.234 * [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 1.236 * [backup-simplify]: Simplify (- 0) into 0 1.236 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.236 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 1.236 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 1.236 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 1.236 * [taylor]: Taking taylor expansion of 1 in U 1.236 * [backup-simplify]: Simplify 1 into 1 1.237 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 1.237 * [taylor]: Taking taylor expansion of 1/4 in U 1.237 * [backup-simplify]: Simplify 1/4 into 1/4 1.237 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 1.237 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.237 * [taylor]: Taking taylor expansion of J in U 1.237 * [backup-simplify]: Simplify J into J 1.237 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 1.237 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 1.237 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.237 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.237 * [taylor]: Taking taylor expansion of -1/2 in U 1.237 * [backup-simplify]: Simplify -1/2 into -1/2 1.237 * [taylor]: Taking taylor expansion of K in U 1.237 * [backup-simplify]: Simplify K into K 1.237 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.237 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.237 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.237 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.237 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.238 * [backup-simplify]: Simplify (- 0) into 0 1.238 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.238 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.238 * [taylor]: Taking taylor expansion of U in U 1.238 * [backup-simplify]: Simplify 0 into 0 1.238 * [backup-simplify]: Simplify 1 into 1 1.238 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.238 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.239 * [backup-simplify]: Simplify (* 1 1) into 1 1.239 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 1.239 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 1.239 * [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))) 1.240 * [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))) 1.240 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.240 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.241 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.241 * [backup-simplify]: Simplify (+ 0) into 0 1.242 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.242 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.243 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.243 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.244 * [backup-simplify]: Simplify (- 0) into 0 1.244 * [backup-simplify]: Simplify (+ 0 0) into 0 1.244 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.245 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 1.245 * [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 1.246 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 1.246 * [backup-simplify]: Simplify (+ 0 0) into 0 1.246 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 1.247 * [backup-simplify]: Simplify (* (/ (cos (/ -1/2 K)) J) (* 1/2 (/ J (cos (/ -1/2 K))))) into 1/2 1.247 * [backup-simplify]: Simplify (* 2 1/2) into 1 1.247 * [taylor]: Taking taylor expansion of 1 in K 1.248 * [backup-simplify]: Simplify 1 into 1 1.248 * [taylor]: Taking taylor expansion of 1 in J 1.248 * [backup-simplify]: Simplify 1 into 1 1.248 * [backup-simplify]: Simplify (+ 0) into 0 1.248 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.249 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.249 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.250 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.250 * [backup-simplify]: Simplify (- 0) into 0 1.251 * [backup-simplify]: Simplify (+ 0 0) into 0 1.251 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0 1.251 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 1.252 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0 1.252 * [taylor]: Taking taylor expansion of 0 in K 1.252 * [backup-simplify]: Simplify 0 into 0 1.252 * [taylor]: Taking taylor expansion of 0 in J 1.252 * [backup-simplify]: Simplify 0 into 0 1.252 * [taylor]: Taking taylor expansion of 0 in J 1.252 * [backup-simplify]: Simplify 0 into 0 1.252 * [backup-simplify]: Simplify 1 into 1 1.252 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.254 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.255 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.255 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.256 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.257 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.257 * [backup-simplify]: Simplify (- 0) into 0 1.257 * [backup-simplify]: Simplify (+ 0 0) into 0 1.258 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 1.259 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 1.259 * [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 1.260 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 1.261 * [backup-simplify]: Simplify (+ 1 0) into 1 1.262 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 1.263 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.263 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.264 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.264 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.265 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.265 * [backup-simplify]: Simplify (- 0) into 0 1.266 * [backup-simplify]: Simplify (+ 0 0) into 0 1.266 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.267 * [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)) 1.268 * [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))) 1.268 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in K 1.268 * [taylor]: Taking taylor expansion of 2 in K 1.268 * [backup-simplify]: Simplify 2 into 2 1.268 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in K 1.268 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 1.268 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.268 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.268 * [taylor]: Taking taylor expansion of -1/2 in K 1.268 * [backup-simplify]: Simplify -1/2 into -1/2 1.268 * [taylor]: Taking taylor expansion of K in K 1.268 * [backup-simplify]: Simplify 0 into 0 1.268 * [backup-simplify]: Simplify 1 into 1 1.268 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.269 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.269 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.269 * [taylor]: Taking taylor expansion of J in K 1.269 * [backup-simplify]: Simplify J into J 1.269 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.269 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.269 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 1.269 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 1.269 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J 1.269 * [taylor]: Taking taylor expansion of 2 in J 1.269 * [backup-simplify]: Simplify 2 into 2 1.269 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J 1.269 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 1.269 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.269 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.269 * [taylor]: Taking taylor expansion of -1/2 in J 1.269 * [backup-simplify]: Simplify -1/2 into -1/2 1.269 * [taylor]: Taking taylor expansion of K in J 1.269 * [backup-simplify]: Simplify K into K 1.270 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.270 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.270 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.270 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.270 * [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 J 1.270 * [taylor]: Taking taylor expansion of J in J 1.271 * [backup-simplify]: Simplify 0 into 0 1.271 * [backup-simplify]: Simplify 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 (* 1 1) into 1 1.271 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 1.272 * [backup-simplify]: Simplify (+ 0) into 0 1.272 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.272 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.273 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.274 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.274 * [backup-simplify]: Simplify (- 0) into 0 1.274 * [backup-simplify]: Simplify (+ 0 0) into 0 1.275 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.275 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.276 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 1.277 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 1.277 * [backup-simplify]: Simplify 0 into 0 1.277 * [taylor]: Taking taylor expansion of 0 in J 1.277 * [backup-simplify]: Simplify 0 into 0 1.277 * [taylor]: Taking taylor expansion of 0 in J 1.277 * [backup-simplify]: Simplify 0 into 0 1.277 * [backup-simplify]: Simplify 0 into 0 1.277 * [backup-simplify]: Simplify 0 into 0 1.277 * [backup-simplify]: Simplify 0 into 0 1.278 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 1.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.280 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.281 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.281 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.283 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.284 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.284 * [backup-simplify]: Simplify (- 0) into 0 1.284 * [backup-simplify]: Simplify (+ 0 0) into 0 1.285 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 1.286 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.287 * [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 1.288 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 1.289 * [backup-simplify]: Simplify (+ 0 0) into 0 1.289 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 1.290 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.291 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.291 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.292 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.293 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.293 * [backup-simplify]: Simplify (- 0) into 0 1.294 * [backup-simplify]: Simplify (+ 0 0) into 0 1.294 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.295 * [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 1.296 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 1.296 * [taylor]: Taking taylor expansion of 0 in K 1.296 * [backup-simplify]: Simplify 0 into 0 1.296 * [taylor]: Taking taylor expansion of 0 in J 1.296 * [backup-simplify]: Simplify 0 into 0 1.296 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.296 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.297 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 1.297 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) into 0 1.297 * [taylor]: Taking taylor expansion of 0 in J 1.297 * [backup-simplify]: Simplify 0 into 0 1.297 * [taylor]: Taking taylor expansion of 0 in J 1.297 * [backup-simplify]: Simplify 0 into 0 1.297 * [taylor]: Taking taylor expansion of 0 in J 1.297 * [backup-simplify]: Simplify 0 into 0 1.298 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.299 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.299 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.300 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.301 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.301 * [backup-simplify]: Simplify (- 0) into 0 1.301 * [backup-simplify]: Simplify (+ 0 0) into 0 1.302 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 1.303 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.304 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.305 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0 1.305 * [backup-simplify]: Simplify 0 into 0 1.305 * [backup-simplify]: Simplify 0 into 0 1.305 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U) 1.305 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 1.306 * [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)) 1.306 * [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 1.306 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 1.306 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 1.306 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 1.306 * [taylor]: Taking taylor expansion of 1/4 in J 1.306 * [backup-simplify]: Simplify 1/4 into 1/4 1.306 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 1.306 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.306 * [taylor]: Taking taylor expansion of U in J 1.306 * [backup-simplify]: Simplify U into U 1.306 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 1.306 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 1.306 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.306 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.306 * [taylor]: Taking taylor expansion of 1/2 in J 1.306 * [backup-simplify]: Simplify 1/2 into 1/2 1.306 * [taylor]: Taking taylor expansion of K in J 1.306 * [backup-simplify]: Simplify K into K 1.306 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.306 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.306 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.307 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.307 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.307 * [backup-simplify]: Simplify (- 0) into 0 1.307 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.308 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.308 * [taylor]: Taking taylor expansion of J in J 1.308 * [backup-simplify]: Simplify 0 into 0 1.308 * [backup-simplify]: Simplify 1 into 1 1.308 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.308 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.308 * [backup-simplify]: Simplify (* 1 1) into 1 1.308 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 1.308 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 1.308 * [taylor]: Taking taylor expansion of 1 in J 1.309 * [backup-simplify]: Simplify 1 into 1 1.309 * [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))) 1.309 * [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))) 1.309 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 1.309 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.310 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.310 * [backup-simplify]: Simplify (+ 0) into 0 1.311 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.311 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.312 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.313 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.313 * [backup-simplify]: Simplify (- 0) into 0 1.313 * [backup-simplify]: Simplify (+ 0 0) into 0 1.314 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 1.314 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 1.314 * [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 1.315 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 1.315 * [backup-simplify]: Simplify (+ 0 0) into 0 1.316 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 1.316 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 1.316 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 1.316 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 1.316 * [taylor]: Taking taylor expansion of 1/4 in K 1.316 * [backup-simplify]: Simplify 1/4 into 1/4 1.316 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 1.316 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.316 * [taylor]: Taking taylor expansion of U in K 1.316 * [backup-simplify]: Simplify U into U 1.316 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 1.316 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 1.316 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.316 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.316 * [taylor]: Taking taylor expansion of 1/2 in K 1.316 * [backup-simplify]: Simplify 1/2 into 1/2 1.316 * [taylor]: Taking taylor expansion of K in K 1.316 * [backup-simplify]: Simplify 0 into 0 1.316 * [backup-simplify]: Simplify 1 into 1 1.317 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.317 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.317 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.317 * [taylor]: Taking taylor expansion of J in K 1.317 * [backup-simplify]: Simplify J into J 1.318 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.318 * [backup-simplify]: Simplify (* 1 1) into 1 1.318 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.318 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 1.318 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 1.318 * [taylor]: Taking taylor expansion of 1 in K 1.318 * [backup-simplify]: Simplify 1 into 1 1.318 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 1.319 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1.319 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 1.319 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.319 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.320 * [backup-simplify]: Simplify (+ 0) into 0 1.320 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.321 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 1.321 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 1.322 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 1.322 * [backup-simplify]: Simplify (+ 0 0) into 0 1.322 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 1.322 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 1.322 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 1.322 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 1.322 * [taylor]: Taking taylor expansion of 1/4 in U 1.322 * [backup-simplify]: Simplify 1/4 into 1/4 1.322 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 1.323 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.323 * [taylor]: Taking taylor expansion of U in U 1.323 * [backup-simplify]: Simplify 0 into 0 1.323 * [backup-simplify]: Simplify 1 into 1 1.323 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 1.323 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 1.323 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.323 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.323 * [taylor]: Taking taylor expansion of 1/2 in U 1.323 * [backup-simplify]: Simplify 1/2 into 1/2 1.323 * [taylor]: Taking taylor expansion of K in U 1.323 * [backup-simplify]: Simplify K into K 1.323 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.323 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.323 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.323 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.323 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.324 * [backup-simplify]: Simplify (- 0) into 0 1.324 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.324 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.324 * [taylor]: Taking taylor expansion of J in U 1.324 * [backup-simplify]: Simplify J into J 1.324 * [backup-simplify]: Simplify (* 1 1) into 1 1.324 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.324 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.324 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 1.325 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.325 * [taylor]: Taking taylor expansion of 1 in U 1.325 * [backup-simplify]: Simplify 1 into 1 1.325 * [backup-simplify]: Simplify (+ 0 1) into 1 1.325 * [backup-simplify]: Simplify (sqrt 1) into 1 1.326 * [backup-simplify]: Simplify (+ 0 0) into 0 1.326 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.327 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 1.327 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 1.327 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 1.327 * [taylor]: Taking taylor expansion of 1/4 in U 1.327 * [backup-simplify]: Simplify 1/4 into 1/4 1.327 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 1.327 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.327 * [taylor]: Taking taylor expansion of U in U 1.327 * [backup-simplify]: Simplify 0 into 0 1.327 * [backup-simplify]: Simplify 1 into 1 1.327 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 1.327 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 1.327 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.327 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.327 * [taylor]: Taking taylor expansion of 1/2 in U 1.327 * [backup-simplify]: Simplify 1/2 into 1/2 1.327 * [taylor]: Taking taylor expansion of K in U 1.327 * [backup-simplify]: Simplify K into K 1.327 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.327 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.327 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.327 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.327 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.328 * [backup-simplify]: Simplify (- 0) into 0 1.328 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.328 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.328 * [taylor]: Taking taylor expansion of J in U 1.328 * [backup-simplify]: Simplify J into J 1.328 * [backup-simplify]: Simplify (* 1 1) into 1 1.328 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.328 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.328 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 1.328 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.328 * [taylor]: Taking taylor expansion of 1 in U 1.328 * [backup-simplify]: Simplify 1 into 1 1.329 * [backup-simplify]: Simplify (+ 0 1) into 1 1.329 * [backup-simplify]: Simplify (sqrt 1) into 1 1.329 * [backup-simplify]: Simplify (+ 0 0) into 0 1.330 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.330 * [taylor]: Taking taylor expansion of 1 in K 1.330 * [backup-simplify]: Simplify 1 into 1 1.330 * [taylor]: Taking taylor expansion of 1 in J 1.330 * [backup-simplify]: Simplify 1 into 1 1.330 * [taylor]: Taking taylor expansion of 0 in K 1.330 * [backup-simplify]: Simplify 0 into 0 1.330 * [taylor]: Taking taylor expansion of 0 in J 1.330 * [backup-simplify]: Simplify 0 into 0 1.330 * [taylor]: Taking taylor expansion of 0 in J 1.330 * [backup-simplify]: Simplify 0 into 0 1.330 * [backup-simplify]: Simplify 1 into 1 1.330 * [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))) 1.330 * [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)))) 1.331 * [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))) 1.331 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 1.331 * [taylor]: Taking taylor expansion of 1/8 in K 1.331 * [backup-simplify]: Simplify 1/8 into 1/8 1.331 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 1.331 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 1.331 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.331 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.331 * [taylor]: Taking taylor expansion of 1/2 in K 1.331 * [backup-simplify]: Simplify 1/2 into 1/2 1.331 * [taylor]: Taking taylor expansion of K in K 1.331 * [backup-simplify]: Simplify 0 into 0 1.331 * [backup-simplify]: Simplify 1 into 1 1.331 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.332 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.332 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.332 * [taylor]: Taking taylor expansion of J in K 1.332 * [backup-simplify]: Simplify J into J 1.332 * [backup-simplify]: Simplify (* 1 1) into 1 1.332 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.332 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 1.332 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2)) 1.332 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J 1.332 * [taylor]: Taking taylor expansion of 1/8 in J 1.332 * [backup-simplify]: Simplify 1/8 into 1/8 1.332 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.332 * [taylor]: Taking taylor expansion of J in J 1.332 * [backup-simplify]: Simplify 0 into 0 1.332 * [backup-simplify]: Simplify 1 into 1 1.333 * [backup-simplify]: Simplify (* 1 1) into 1 1.333 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 1.333 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.334 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 1.334 * [backup-simplify]: Simplify 0 into 0 1.334 * [taylor]: Taking taylor expansion of 0 in J 1.334 * [backup-simplify]: Simplify 0 into 0 1.334 * [taylor]: Taking taylor expansion of 0 in J 1.334 * [backup-simplify]: Simplify 0 into 0 1.334 * [backup-simplify]: Simplify 0 into 0 1.334 * [backup-simplify]: Simplify 0 into 0 1.334 * [backup-simplify]: Simplify 0 into 0 1.334 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 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 (+ (* 1/2 0) (* 0 K)) into 0 1.336 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.336 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.336 * [backup-simplify]: Simplify (- 0) into 0 1.336 * [backup-simplify]: Simplify (+ 0 0) into 0 1.337 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 1.337 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 1.337 * [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 1.337 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 1.338 * [backup-simplify]: Simplify (+ 0 0) into 0 1.338 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 1.338 * [taylor]: Taking taylor expansion of 0 in K 1.338 * [backup-simplify]: Simplify 0 into 0 1.338 * [taylor]: Taking taylor expansion of 0 in J 1.338 * [backup-simplify]: Simplify 0 into 0 1.338 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.339 * [backup-simplify]: Simplify (+ 0) into 0 1.339 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.339 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 1.339 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0 1.339 * [taylor]: Taking taylor expansion of 0 in J 1.339 * [backup-simplify]: Simplify 0 into 0 1.339 * [taylor]: Taking taylor expansion of 0 in J 1.339 * [backup-simplify]: Simplify 0 into 0 1.339 * [taylor]: Taking taylor expansion of 0 in J 1.339 * [backup-simplify]: Simplify 0 into 0 1.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.341 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.341 * [backup-simplify]: Simplify 0 into 0 1.341 * [backup-simplify]: Simplify 0 into 0 1.341 * [backup-simplify]: Simplify 1 into 1 1.341 * [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)) 1.341 * [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 1.341 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 1.341 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 1.341 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 1.341 * [taylor]: Taking taylor expansion of 1/4 in J 1.341 * [backup-simplify]: Simplify 1/4 into 1/4 1.341 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 1.341 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.341 * [taylor]: Taking taylor expansion of J in J 1.341 * [backup-simplify]: Simplify 0 into 0 1.341 * [backup-simplify]: Simplify 1 into 1 1.341 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 1.341 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.341 * [taylor]: Taking taylor expansion of U in J 1.341 * [backup-simplify]: Simplify U into U 1.341 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 1.341 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.341 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.341 * [taylor]: Taking taylor expansion of 1/2 in J 1.341 * [backup-simplify]: Simplify 1/2 into 1/2 1.341 * [taylor]: Taking taylor expansion of K in J 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)) 1.342 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.342 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.342 * [backup-simplify]: Simplify (- 0) into 0 1.342 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.342 * [backup-simplify]: Simplify (* 1 1) into 1 1.342 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.342 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.342 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 1.342 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 1.342 * [taylor]: Taking taylor expansion of 1 in J 1.343 * [backup-simplify]: Simplify 1 into 1 1.343 * [backup-simplify]: Simplify (+ 0 1) into 1 1.343 * [backup-simplify]: Simplify (sqrt 1) into 1 1.343 * [backup-simplify]: Simplify (+ 0 0) into 0 1.344 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.344 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 1.344 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 1.344 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 1.344 * [taylor]: Taking taylor expansion of 1/4 in K 1.344 * [backup-simplify]: Simplify 1/4 into 1/4 1.344 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 1.344 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.344 * [taylor]: Taking taylor expansion of J in K 1.344 * [backup-simplify]: Simplify J into J 1.344 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 1.344 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.344 * [taylor]: Taking taylor expansion of U in K 1.344 * [backup-simplify]: Simplify U into U 1.344 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 1.344 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.344 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.344 * [taylor]: Taking taylor expansion of 1/2 in K 1.344 * [backup-simplify]: Simplify 1/2 into 1/2 1.344 * [taylor]: Taking taylor expansion of K in K 1.344 * [backup-simplify]: Simplify 0 into 0 1.344 * [backup-simplify]: Simplify 1 into 1 1.344 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.344 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.344 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.344 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.345 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.345 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 1.345 * [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))) 1.345 * [taylor]: Taking taylor expansion of 1 in K 1.345 * [backup-simplify]: Simplify 1 into 1 1.345 * [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)))) 1.345 * [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) 1.345 * [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)) 1.345 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.345 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.346 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.346 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.346 * [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 1.346 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 1.347 * [backup-simplify]: Simplify (+ 0 0) into 0 1.347 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 1.347 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 1.347 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 1.347 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 1.347 * [taylor]: Taking taylor expansion of 1/4 in U 1.347 * [backup-simplify]: Simplify 1/4 into 1/4 1.347 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 1.347 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.347 * [taylor]: Taking taylor expansion of J in U 1.347 * [backup-simplify]: Simplify J into J 1.347 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 1.347 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.347 * [taylor]: Taking taylor expansion of U in U 1.347 * [backup-simplify]: Simplify 0 into 0 1.347 * [backup-simplify]: Simplify 1 into 1 1.347 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 1.347 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.347 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.347 * [taylor]: Taking taylor expansion of 1/2 in U 1.347 * [backup-simplify]: Simplify 1/2 into 1/2 1.347 * [taylor]: Taking taylor expansion of K in U 1.347 * [backup-simplify]: Simplify K into K 1.347 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.347 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.347 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.347 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.347 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.348 * [backup-simplify]: Simplify (- 0) into 0 1.348 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.348 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.348 * [backup-simplify]: Simplify (* 1 1) into 1 1.348 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.348 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 1.348 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 1.348 * [taylor]: Taking taylor expansion of 1 in U 1.348 * [backup-simplify]: Simplify 1 into 1 1.348 * [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))) 1.349 * [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))) 1.349 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.349 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.349 * [backup-simplify]: Simplify (+ 0) into 0 1.349 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.349 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.350 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.350 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.350 * [backup-simplify]: Simplify (- 0) into 0 1.351 * [backup-simplify]: Simplify (+ 0 0) into 0 1.351 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.351 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.351 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.352 * [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 1.352 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 1.352 * [backup-simplify]: Simplify (+ 0 0) into 0 1.352 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.352 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 1.353 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 1.353 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 1.353 * [taylor]: Taking taylor expansion of 1/4 in U 1.353 * [backup-simplify]: Simplify 1/4 into 1/4 1.353 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 1.353 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.353 * [taylor]: Taking taylor expansion of J in U 1.353 * [backup-simplify]: Simplify J into J 1.353 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 1.353 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.353 * [taylor]: Taking taylor expansion of U in U 1.353 * [backup-simplify]: Simplify 0 into 0 1.353 * [backup-simplify]: Simplify 1 into 1 1.353 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 1.353 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.353 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.353 * [taylor]: Taking taylor expansion of 1/2 in U 1.353 * [backup-simplify]: Simplify 1/2 into 1/2 1.353 * [taylor]: Taking taylor expansion of K in U 1.353 * [backup-simplify]: Simplify K into K 1.353 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.353 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.353 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.353 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.353 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.353 * [backup-simplify]: Simplify (- 0) into 0 1.353 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.353 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.354 * [backup-simplify]: Simplify (* 1 1) into 1 1.354 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.354 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 1.354 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 1.354 * [taylor]: Taking taylor expansion of 1 in U 1.354 * [backup-simplify]: Simplify 1 into 1 1.354 * [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))) 1.354 * [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))) 1.354 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.354 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.355 * [backup-simplify]: Simplify (+ 0) into 0 1.355 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.355 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.355 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.356 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.356 * [backup-simplify]: Simplify (- 0) into 0 1.356 * [backup-simplify]: Simplify (+ 0 0) into 0 1.356 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.357 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.357 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.357 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 1.358 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 1.358 * [backup-simplify]: Simplify (+ 0 0) into 0 1.358 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.358 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K 1.358 * [taylor]: Taking taylor expansion of 1/2 in K 1.358 * [backup-simplify]: Simplify 1/2 into 1/2 1.358 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K 1.358 * [taylor]: Taking taylor expansion of J in K 1.358 * [backup-simplify]: Simplify J into J 1.358 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.358 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.358 * [taylor]: Taking taylor expansion of 1/2 in K 1.358 * [backup-simplify]: Simplify 1/2 into 1/2 1.358 * [taylor]: Taking taylor expansion of K in K 1.358 * [backup-simplify]: Simplify 0 into 0 1.358 * [backup-simplify]: Simplify 1 into 1 1.359 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.359 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.359 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 1.359 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.359 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 1.359 * [taylor]: Taking taylor expansion of 1/2 in J 1.359 * [backup-simplify]: Simplify 1/2 into 1/2 1.359 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 1.359 * [taylor]: Taking taylor expansion of J in J 1.359 * [backup-simplify]: Simplify 0 into 0 1.359 * [backup-simplify]: Simplify 1 into 1 1.359 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.359 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.359 * [taylor]: Taking taylor expansion of 1/2 in J 1.359 * [backup-simplify]: Simplify 1/2 into 1/2 1.359 * [taylor]: Taking taylor expansion of K in J 1.359 * [backup-simplify]: Simplify K into K 1.359 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.359 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.359 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.359 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.359 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.360 * [backup-simplify]: Simplify (- 0) into 0 1.360 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.360 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 1.360 * [taylor]: Taking taylor expansion of 0 in K 1.360 * [backup-simplify]: Simplify 0 into 0 1.360 * [taylor]: Taking taylor expansion of 0 in J 1.360 * [backup-simplify]: Simplify 0 into 0 1.360 * [backup-simplify]: Simplify 0 into 0 1.360 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 1.360 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 1.360 * [taylor]: Taking taylor expansion of 0 in J 1.360 * [backup-simplify]: Simplify 0 into 0 1.360 * [backup-simplify]: Simplify 0 into 0 1.360 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 1.361 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 1.361 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.361 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.362 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.362 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.363 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.364 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.365 * [backup-simplify]: Simplify (- 0) into 0 1.365 * [backup-simplify]: Simplify (+ 0 0) into 0 1.366 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 1.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 1.367 * [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 1.368 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 1.368 * [backup-simplify]: Simplify (+ 0 1) into 1 1.369 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 1.369 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 1.369 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.369 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.369 * [taylor]: Taking taylor expansion of 1/2 in K 1.369 * [backup-simplify]: Simplify 1/2 into 1/2 1.369 * [taylor]: Taking taylor expansion of K in K 1.369 * [backup-simplify]: Simplify 0 into 0 1.369 * [backup-simplify]: Simplify 1 into 1 1.369 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.369 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.369 * [taylor]: Taking taylor expansion of J in K 1.369 * [backup-simplify]: Simplify J into J 1.369 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 1.369 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 1.369 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.370 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.370 * [taylor]: Taking taylor expansion of 1/2 in J 1.370 * [backup-simplify]: Simplify 1/2 into 1/2 1.370 * [taylor]: Taking taylor expansion of K in J 1.370 * [backup-simplify]: Simplify K into K 1.370 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.370 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.370 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.370 * [taylor]: Taking taylor expansion of J in J 1.370 * [backup-simplify]: Simplify 0 into 0 1.370 * [backup-simplify]: Simplify 1 into 1 1.370 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.370 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.370 * [backup-simplify]: Simplify (- 0) into 0 1.370 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.370 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.370 * [backup-simplify]: Simplify (+ 0) into 0 1.371 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.371 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.371 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.372 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.372 * [backup-simplify]: Simplify (- 0) into 0 1.372 * [backup-simplify]: Simplify (+ 0 0) into 0 1.373 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) 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 * [backup-simplify]: Simplify 0 into 0 1.373 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 1.373 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 1.373 * [taylor]: Taking taylor expansion of 0 in J 1.373 * [backup-simplify]: Simplify 0 into 0 1.374 * [backup-simplify]: Simplify 0 into 0 1.374 * [backup-simplify]: Simplify 0 into 0 1.374 * [backup-simplify]: Simplify 0 into 0 1.374 * [backup-simplify]: Simplify (+ 0) into 0 1.374 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.374 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.375 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.375 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.375 * [backup-simplify]: Simplify (- 0) into 0 1.375 * [backup-simplify]: Simplify (+ 0 0) into 0 1.376 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 1.376 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 1.376 * [backup-simplify]: Simplify 0 into 0 1.376 * [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))) 1.377 * [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)))))) 1.377 * [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 1.377 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 1.377 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 1.377 * [taylor]: Taking taylor expansion of 1 in J 1.377 * [backup-simplify]: Simplify 1 into 1 1.377 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 1.377 * [taylor]: Taking taylor expansion of 1/4 in J 1.377 * [backup-simplify]: Simplify 1/4 into 1/4 1.377 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 1.377 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.378 * [taylor]: Taking taylor expansion of J in J 1.378 * [backup-simplify]: Simplify 0 into 0 1.378 * [backup-simplify]: Simplify 1 into 1 1.378 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 1.378 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 1.378 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.378 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.378 * [taylor]: Taking taylor expansion of -1/2 in J 1.378 * [backup-simplify]: Simplify -1/2 into -1/2 1.378 * [taylor]: Taking taylor expansion of K in J 1.378 * [backup-simplify]: Simplify K into K 1.378 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.378 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.378 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.378 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.378 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.379 * [backup-simplify]: Simplify (- 0) into 0 1.379 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.379 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.379 * [taylor]: Taking taylor expansion of U in J 1.379 * [backup-simplify]: Simplify U into U 1.379 * [backup-simplify]: Simplify (* 1 1) into 1 1.380 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.380 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.380 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 1.380 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 1.381 * [backup-simplify]: Simplify (+ 1 0) into 1 1.381 * [backup-simplify]: Simplify (sqrt 1) into 1 1.381 * [backup-simplify]: Simplify (+ 0 0) into 0 1.382 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.382 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 1.382 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 1.382 * [taylor]: Taking taylor expansion of 1 in K 1.382 * [backup-simplify]: Simplify 1 into 1 1.382 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 1.382 * [taylor]: Taking taylor expansion of 1/4 in K 1.382 * [backup-simplify]: Simplify 1/4 into 1/4 1.382 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 1.382 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.382 * [taylor]: Taking taylor expansion of J in K 1.382 * [backup-simplify]: Simplify J into J 1.382 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 1.382 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 1.382 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.382 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.382 * [taylor]: Taking taylor expansion of -1/2 in K 1.382 * [backup-simplify]: Simplify -1/2 into -1/2 1.382 * [taylor]: Taking taylor expansion of K in K 1.383 * [backup-simplify]: Simplify 0 into 0 1.383 * [backup-simplify]: Simplify 1 into 1 1.383 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.383 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.383 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.383 * [taylor]: Taking taylor expansion of U in K 1.383 * [backup-simplify]: Simplify U into U 1.383 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.383 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.383 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.384 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 1.384 * [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))) 1.384 * [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)))) 1.384 * [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))))) 1.385 * [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)))))) 1.385 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.385 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.385 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.385 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 1.386 * [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 1.387 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 1.387 * [backup-simplify]: Simplify (+ 0 0) into 0 1.388 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 1.388 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 1.388 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 1.388 * [taylor]: Taking taylor expansion of 1 in U 1.388 * [backup-simplify]: Simplify 1 into 1 1.388 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 1.388 * [taylor]: Taking taylor expansion of 1/4 in U 1.388 * [backup-simplify]: Simplify 1/4 into 1/4 1.388 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 1.388 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.388 * [taylor]: Taking taylor expansion of J in U 1.388 * [backup-simplify]: Simplify J into J 1.388 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 1.388 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 1.388 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.388 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.388 * [taylor]: Taking taylor expansion of -1/2 in U 1.388 * [backup-simplify]: Simplify -1/2 into -1/2 1.388 * [taylor]: Taking taylor expansion of K in U 1.388 * [backup-simplify]: Simplify K into K 1.388 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.388 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.388 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.388 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.388 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.388 * [backup-simplify]: Simplify (- 0) into 0 1.388 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.388 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.388 * [taylor]: Taking taylor expansion of U in U 1.388 * [backup-simplify]: Simplify 0 into 0 1.388 * [backup-simplify]: Simplify 1 into 1 1.389 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.389 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.389 * [backup-simplify]: Simplify (* 1 1) into 1 1.389 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 1.389 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 1.389 * [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))) 1.389 * [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))) 1.389 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.389 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.390 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.390 * [backup-simplify]: Simplify (+ 0) into 0 1.390 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.391 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.391 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.391 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.391 * [backup-simplify]: Simplify (- 0) into 0 1.392 * [backup-simplify]: Simplify (+ 0 0) into 0 1.392 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.392 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 1.392 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 1.393 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 1.393 * [backup-simplify]: Simplify (+ 0 0) into 0 1.393 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 1.393 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 1.393 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 1.393 * [taylor]: Taking taylor expansion of 1 in U 1.393 * [backup-simplify]: Simplify 1 into 1 1.393 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 1.393 * [taylor]: Taking taylor expansion of 1/4 in U 1.393 * [backup-simplify]: Simplify 1/4 into 1/4 1.393 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 1.393 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.393 * [taylor]: Taking taylor expansion of J in U 1.393 * [backup-simplify]: Simplify J into J 1.393 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 1.393 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 1.393 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.393 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.393 * [taylor]: Taking taylor expansion of -1/2 in U 1.393 * [backup-simplify]: Simplify -1/2 into -1/2 1.393 * [taylor]: Taking taylor expansion of K in U 1.393 * [backup-simplify]: Simplify K into K 1.393 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.394 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.394 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.394 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.394 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.394 * [backup-simplify]: Simplify (- 0) into 0 1.394 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.394 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.394 * [taylor]: Taking taylor expansion of U in U 1.394 * [backup-simplify]: Simplify 0 into 0 1.394 * [backup-simplify]: Simplify 1 into 1 1.394 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.394 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.394 * [backup-simplify]: Simplify (* 1 1) into 1 1.394 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 1.395 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 1.395 * [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))) 1.395 * [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))) 1.395 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.395 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.395 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.396 * [backup-simplify]: Simplify (+ 0) into 0 1.396 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.396 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.396 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.397 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.397 * [backup-simplify]: Simplify (- 0) into 0 1.397 * [backup-simplify]: Simplify (+ 0 0) into 0 1.397 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.398 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 1.398 * [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 1.398 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 1.398 * [backup-simplify]: Simplify (+ 0 0) into 0 1.399 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 1.399 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K 1.399 * [taylor]: Taking taylor expansion of 1/2 in K 1.399 * [backup-simplify]: Simplify 1/2 into 1/2 1.399 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K 1.399 * [taylor]: Taking taylor expansion of J in K 1.399 * [backup-simplify]: Simplify J into J 1.399 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.399 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.399 * [taylor]: Taking taylor expansion of -1/2 in K 1.399 * [backup-simplify]: Simplify -1/2 into -1/2 1.399 * [taylor]: Taking taylor expansion of K in K 1.399 * [backup-simplify]: Simplify 0 into 0 1.399 * [backup-simplify]: Simplify 1 into 1 1.399 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.399 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.399 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 1.399 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.399 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 1.399 * [taylor]: Taking taylor expansion of 1/2 in J 1.399 * [backup-simplify]: Simplify 1/2 into 1/2 1.399 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 1.399 * [taylor]: Taking taylor expansion of J in J 1.399 * [backup-simplify]: Simplify 0 into 0 1.399 * [backup-simplify]: Simplify 1 into 1 1.400 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.400 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.400 * [taylor]: Taking taylor expansion of -1/2 in J 1.400 * [backup-simplify]: Simplify -1/2 into -1/2 1.400 * [taylor]: Taking taylor expansion of K in J 1.400 * [backup-simplify]: Simplify K into K 1.400 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.400 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.400 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.400 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.400 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.400 * [backup-simplify]: Simplify (- 0) into 0 1.400 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.400 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 1.400 * [taylor]: Taking taylor expansion of 0 in K 1.400 * [backup-simplify]: Simplify 0 into 0 1.400 * [taylor]: Taking taylor expansion of 0 in J 1.400 * [backup-simplify]: Simplify 0 into 0 1.400 * [backup-simplify]: Simplify 0 into 0 1.400 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 1.401 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 1.401 * [taylor]: Taking taylor expansion of 0 in J 1.401 * [backup-simplify]: Simplify 0 into 0 1.401 * [backup-simplify]: Simplify 0 into 0 1.401 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 1.401 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 1.401 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.402 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.403 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.403 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.403 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.404 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.404 * [backup-simplify]: Simplify (- 0) into 0 1.404 * [backup-simplify]: Simplify (+ 0 0) into 0 1.404 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 1.405 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 1.405 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 1.406 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 1.406 * [backup-simplify]: Simplify (+ 1 0) into 1 1.407 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 1.407 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 1.407 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.407 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.407 * [taylor]: Taking taylor expansion of -1/2 in K 1.407 * [backup-simplify]: Simplify -1/2 into -1/2 1.407 * [taylor]: Taking taylor expansion of K in K 1.407 * [backup-simplify]: Simplify 0 into 0 1.407 * [backup-simplify]: Simplify 1 into 1 1.407 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.407 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.407 * [taylor]: Taking taylor expansion of J in K 1.407 * [backup-simplify]: Simplify J into J 1.407 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 1.407 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 1.407 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.407 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.407 * [taylor]: Taking taylor expansion of -1/2 in J 1.407 * [backup-simplify]: Simplify -1/2 into -1/2 1.407 * [taylor]: Taking taylor expansion of K in J 1.407 * [backup-simplify]: Simplify K into K 1.407 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.407 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.407 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.407 * [taylor]: Taking taylor expansion of J in J 1.407 * [backup-simplify]: Simplify 0 into 0 1.407 * [backup-simplify]: Simplify 1 into 1 1.408 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.408 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.408 * [backup-simplify]: Simplify (- 0) into 0 1.408 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.408 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.408 * [backup-simplify]: Simplify (+ 0) into 0 1.409 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.409 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.409 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.409 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.410 * [backup-simplify]: Simplify (- 0) into 0 1.410 * [backup-simplify]: Simplify (+ 0 0) into 0 1.410 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 1.410 * [backup-simplify]: Simplify 0 into 0 1.411 * [taylor]: Taking taylor expansion of 0 in J 1.411 * [backup-simplify]: Simplify 0 into 0 1.411 * [backup-simplify]: Simplify 0 into 0 1.411 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 1.411 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 1.411 * [taylor]: Taking taylor expansion of 0 in J 1.411 * [backup-simplify]: Simplify 0 into 0 1.411 * [backup-simplify]: Simplify 0 into 0 1.411 * [backup-simplify]: Simplify 0 into 0 1.411 * [backup-simplify]: Simplify 0 into 0 1.412 * [backup-simplify]: Simplify (+ 0) into 0 1.412 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.412 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.413 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.413 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.413 * [backup-simplify]: Simplify (- 0) into 0 1.413 * [backup-simplify]: Simplify (+ 0 0) into 0 1.413 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 1.414 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 1.414 * [backup-simplify]: Simplify 0 into 0 1.414 * [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))) 1.414 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 1.414 * [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)))) 1.414 * [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 1.414 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 1.414 * [taylor]: Taking taylor expansion of 1/4 in J 1.414 * [backup-simplify]: Simplify 1/4 into 1/4 1.414 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 1.414 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.414 * [taylor]: Taking taylor expansion of U in J 1.414 * [backup-simplify]: Simplify U into U 1.414 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 1.414 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 1.414 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.414 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.414 * [taylor]: Taking taylor expansion of 1/2 in J 1.414 * [backup-simplify]: Simplify 1/2 into 1/2 1.414 * [taylor]: Taking taylor expansion of K in J 1.414 * [backup-simplify]: Simplify K into K 1.414 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.414 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.415 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.415 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.415 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.415 * [backup-simplify]: Simplify (- 0) into 0 1.415 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.415 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.415 * [taylor]: Taking taylor expansion of J in J 1.415 * [backup-simplify]: Simplify 0 into 0 1.415 * [backup-simplify]: Simplify 1 into 1 1.415 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.415 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.415 * [backup-simplify]: Simplify (* 1 1) into 1 1.415 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 1.416 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 1.416 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 1.416 * [taylor]: Taking taylor expansion of 1/4 in K 1.416 * [backup-simplify]: Simplify 1/4 into 1/4 1.416 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 1.416 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.416 * [taylor]: Taking taylor expansion of U in K 1.416 * [backup-simplify]: Simplify U into U 1.416 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 1.416 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 1.416 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.416 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.416 * [taylor]: Taking taylor expansion of 1/2 in K 1.416 * [backup-simplify]: Simplify 1/2 into 1/2 1.416 * [taylor]: Taking taylor expansion of K in K 1.416 * [backup-simplify]: Simplify 0 into 0 1.416 * [backup-simplify]: Simplify 1 into 1 1.416 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.416 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.417 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.417 * [taylor]: Taking taylor expansion of J in K 1.417 * [backup-simplify]: Simplify J into J 1.417 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.417 * [backup-simplify]: Simplify (* 1 1) into 1 1.417 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.417 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 1.417 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 1.417 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 1.417 * [taylor]: Taking taylor expansion of 1/4 in U 1.417 * [backup-simplify]: Simplify 1/4 into 1/4 1.417 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 1.417 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.417 * [taylor]: Taking taylor expansion of U in U 1.417 * [backup-simplify]: Simplify 0 into 0 1.417 * [backup-simplify]: Simplify 1 into 1 1.417 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 1.417 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 1.417 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.417 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.417 * [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 * [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 1.418 * [backup-simplify]: Simplify (- 0) into 0 1.418 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 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 * [backup-simplify]: Simplify (* 1 1) into 1 1.418 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.418 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.418 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 1.418 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.418 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 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 U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 1.418 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.418 * [taylor]: Taking taylor expansion of U in U 1.418 * [backup-simplify]: Simplify 0 into 0 1.419 * [backup-simplify]: Simplify 1 into 1 1.419 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 1.419 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 1.419 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.419 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.419 * [taylor]: Taking taylor expansion of 1/2 in U 1.419 * [backup-simplify]: Simplify 1/2 into 1/2 1.419 * [taylor]: Taking taylor expansion of K in U 1.419 * [backup-simplify]: Simplify K into K 1.419 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.419 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.419 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.419 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.419 * [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 J 2) in U 1.419 * [taylor]: Taking taylor expansion of J in U 1.419 * [backup-simplify]: Simplify J into J 1.419 * [backup-simplify]: Simplify (* 1 1) into 1 1.420 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.420 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.420 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 1.420 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.420 * [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))) 1.420 * [taylor]: Taking taylor expansion of (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 1.420 * [taylor]: Taking taylor expansion of 1/4 in K 1.420 * [backup-simplify]: Simplify 1/4 into 1/4 1.420 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 1.420 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 1.420 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.420 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.421 * [taylor]: Taking taylor expansion of 1/2 in K 1.421 * [backup-simplify]: Simplify 1/2 into 1/2 1.421 * [taylor]: Taking taylor expansion of K in K 1.421 * [backup-simplify]: Simplify 0 into 0 1.421 * [backup-simplify]: Simplify 1 into 1 1.421 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.422 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.422 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.422 * [taylor]: Taking taylor expansion of J in K 1.422 * [backup-simplify]: Simplify J into J 1.422 * [backup-simplify]: Simplify (* 1 1) into 1 1.422 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.422 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 1.422 * [backup-simplify]: Simplify (/ 1/4 (pow J 2)) into (/ 1/4 (pow J 2)) 1.423 * [taylor]: Taking taylor expansion of (/ 1/4 (pow J 2)) in J 1.423 * [taylor]: Taking taylor expansion of 1/4 in J 1.423 * [backup-simplify]: Simplify 1/4 into 1/4 1.423 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.423 * [taylor]: Taking taylor expansion of J in J 1.423 * [backup-simplify]: Simplify 0 into 0 1.423 * [backup-simplify]: Simplify 1 into 1 1.423 * [backup-simplify]: Simplify (* 1 1) into 1 1.424 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 1.424 * [backup-simplify]: Simplify 1/4 into 1/4 1.424 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.424 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.425 * [backup-simplify]: Simplify (+ 0) into 0 1.425 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.426 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.427 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.427 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.428 * [backup-simplify]: Simplify (- 0) into 0 1.428 * [backup-simplify]: Simplify (+ 0 0) into 0 1.428 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 1.428 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 1.429 * [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 1.430 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 1.430 * [taylor]: Taking taylor expansion of 0 in K 1.430 * [backup-simplify]: Simplify 0 into 0 1.430 * [taylor]: Taking taylor expansion of 0 in J 1.430 * [backup-simplify]: Simplify 0 into 0 1.430 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.430 * [backup-simplify]: Simplify (+ 0) into 0 1.431 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.431 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 1.432 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/4 (pow J 2)) (/ 0 (pow J 2))))) into 0 1.432 * [taylor]: Taking taylor expansion of 0 in J 1.432 * [backup-simplify]: Simplify 0 into 0 1.432 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.433 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 1.433 * [backup-simplify]: Simplify 0 into 0 1.435 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.435 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.436 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.437 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.438 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 1.439 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.439 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.440 * [backup-simplify]: Simplify (- 0) into 0 1.440 * [backup-simplify]: Simplify (+ 0 0) into 0 1.440 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 1.441 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0 1.442 * [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 1.443 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 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 1.443 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.444 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 1.445 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (* -1/8 1))) into -1/4 1.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/4 (pow J 2)))) into (- (* 1/4 (pow J 2))) 1.447 * [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))) 1.447 * [taylor]: Taking taylor expansion of (* 1/16 (/ 1 (pow J 2))) in J 1.447 * [taylor]: Taking taylor expansion of 1/16 in J 1.447 * [backup-simplify]: Simplify 1/16 into 1/16 1.447 * [taylor]: Taking taylor expansion of (/ 1 (pow J 2)) in J 1.447 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.447 * [taylor]: Taking taylor expansion of J in J 1.447 * [backup-simplify]: Simplify 0 into 0 1.447 * [backup-simplify]: Simplify 1 into 1 1.447 * [backup-simplify]: Simplify (* 1 1) into 1 1.448 * [backup-simplify]: Simplify (/ 1 1) into 1 1.448 * [backup-simplify]: Simplify (* 1/16 1) into 1/16 1.448 * [backup-simplify]: Simplify 1/16 into 1/16 1.449 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.450 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.450 * [backup-simplify]: Simplify 0 into 0 1.451 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.452 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 1.453 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.454 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.455 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 1.456 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.457 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.457 * [backup-simplify]: Simplify (- 0) into 0 1.458 * [backup-simplify]: Simplify (+ 0 0) into 0 1.459 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0 1.460 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2))))) into 0 1.461 * [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 1.462 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) into 0 1.462 * [taylor]: Taking taylor expansion of 0 in K 1.462 * [backup-simplify]: Simplify 0 into 0 1.462 * [taylor]: Taking taylor expansion of 0 in J 1.462 * [backup-simplify]: Simplify 0 into 0 1.463 * [taylor]: Taking taylor expansion of 0 in J 1.463 * [backup-simplify]: Simplify 0 into 0 1.463 * [taylor]: Taking taylor expansion of 0 in J 1.463 * [backup-simplify]: Simplify 0 into 0 1.463 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 1.464 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1.466 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/8) (+ (* -1/8 0) (* 0 1)))) into 0 1.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (* 0 (pow J 2))))) into 0 1.469 * [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 1.469 * [taylor]: Taking taylor expansion of 0 in J 1.469 * [backup-simplify]: Simplify 0 into 0 1.470 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.471 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 1)) into 0 1.471 * [backup-simplify]: Simplify 0 into 0 1.471 * [backup-simplify]: Simplify 0 into 0 1.471 * [backup-simplify]: Simplify 0 into 0 1.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.473 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.473 * [backup-simplify]: Simplify 0 into 0 1.474 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.476 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 J))))) into 0 1.478 * [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 1.479 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.480 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0 1.482 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.483 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 1.483 * [backup-simplify]: Simplify (- 0) into 0 1.483 * [backup-simplify]: Simplify (+ 0 0) into 0 1.484 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))))) into 0 1.487 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2)))))) into 0 1.487 * [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 1.488 * [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 1.488 * [taylor]: Taking taylor expansion of 0 in K 1.488 * [backup-simplify]: Simplify 0 into 0 1.488 * [taylor]: Taking taylor expansion of 0 in J 1.488 * [backup-simplify]: Simplify 0 into 0 1.488 * [taylor]: Taking taylor expansion of 0 in J 1.488 * [backup-simplify]: Simplify 0 into 0 1.488 * [taylor]: Taking taylor expansion of 0 in J 1.488 * [backup-simplify]: Simplify 0 into 0 1.489 * [taylor]: Taking taylor expansion of 0 in J 1.489 * [backup-simplify]: Simplify 0 into 0 1.489 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 J))))) into 0 1.490 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.491 * [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 1.492 * [backup-simplify]: Simplify (+ (* 1 1/384) (+ (* 0 0) (+ (* -1/8 -1/8) (+ (* 0 0) (* 1/384 1))))) into 1/48 1.493 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (+ (* 0 0) (* 1/48 (pow J 2)))))) into (* 1/48 (pow J 2)) 1.494 * [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))) 1.494 * [taylor]: Taking taylor expansion of (* 1/96 (/ 1 (pow J 2))) in J 1.494 * [taylor]: Taking taylor expansion of 1/96 in J 1.494 * [backup-simplify]: Simplify 1/96 into 1/96 1.494 * [taylor]: Taking taylor expansion of (/ 1 (pow J 2)) in J 1.494 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.494 * [taylor]: Taking taylor expansion of J in J 1.494 * [backup-simplify]: Simplify 0 into 0 1.494 * [backup-simplify]: Simplify 1 into 1 1.494 * [backup-simplify]: Simplify (* 1 1) into 1 1.494 * [backup-simplify]: Simplify (/ 1 1) into 1 1.495 * [backup-simplify]: Simplify (* 1/96 1) into 1/96 1.495 * [backup-simplify]: Simplify 1/96 into 1/96 1.495 * [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))))) 1.496 * [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)))) 1.496 * [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 1.496 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 1.496 * [taylor]: Taking taylor expansion of 1/4 in J 1.496 * [backup-simplify]: Simplify 1/4 into 1/4 1.496 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 1.496 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.496 * [taylor]: Taking taylor expansion of J in J 1.496 * [backup-simplify]: Simplify 0 into 0 1.496 * [backup-simplify]: Simplify 1 into 1 1.496 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 1.496 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.496 * [taylor]: Taking taylor expansion of U in J 1.496 * [backup-simplify]: Simplify U into U 1.496 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 1.496 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.496 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.496 * [taylor]: Taking taylor expansion of 1/2 in J 1.496 * [backup-simplify]: Simplify 1/2 into 1/2 1.496 * [taylor]: Taking taylor expansion of K in J 1.496 * [backup-simplify]: Simplify K into K 1.496 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.496 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.496 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.496 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.496 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.496 * [backup-simplify]: Simplify (- 0) into 0 1.496 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.497 * [backup-simplify]: Simplify (* 1 1) into 1 1.497 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.497 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.497 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 1.497 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 1.497 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 1.497 * [taylor]: Taking taylor expansion of 1/4 in K 1.497 * [backup-simplify]: Simplify 1/4 into 1/4 1.497 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 1.497 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.497 * [taylor]: Taking taylor expansion of J in K 1.497 * [backup-simplify]: Simplify J into J 1.497 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 1.497 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.497 * [taylor]: Taking taylor expansion of U in K 1.497 * [backup-simplify]: Simplify U into U 1.497 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 1.497 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.497 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.497 * [taylor]: Taking taylor expansion of 1/2 in K 1.497 * [backup-simplify]: Simplify 1/2 into 1/2 1.497 * [taylor]: Taking taylor expansion of K in K 1.497 * [backup-simplify]: Simplify 0 into 0 1.497 * [backup-simplify]: Simplify 1 into 1 1.498 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.498 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.498 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.498 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.498 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.498 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 1.498 * [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))) 1.498 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 1.498 * [taylor]: Taking taylor expansion of 1/4 in U 1.498 * [backup-simplify]: Simplify 1/4 into 1/4 1.498 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 1.498 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.498 * [taylor]: Taking taylor expansion of J in U 1.498 * [backup-simplify]: Simplify J into J 1.498 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 1.498 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.498 * [taylor]: Taking taylor expansion of U in U 1.498 * [backup-simplify]: Simplify 0 into 0 1.498 * [backup-simplify]: Simplify 1 into 1 1.498 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 1.498 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.498 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.498 * [taylor]: Taking taylor expansion of 1/2 in U 1.498 * [backup-simplify]: Simplify 1/2 into 1/2 1.498 * [taylor]: Taking taylor expansion of K in U 1.498 * [backup-simplify]: Simplify K into K 1.498 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.498 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.498 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.499 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.499 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.499 * [backup-simplify]: Simplify (- 0) into 0 1.499 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.499 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.499 * [backup-simplify]: Simplify (* 1 1) into 1 1.499 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.499 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 1.499 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 1.499 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 1.499 * [taylor]: Taking taylor expansion of 1/4 in U 1.499 * [backup-simplify]: Simplify 1/4 into 1/4 1.500 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 1.500 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.500 * [taylor]: Taking taylor expansion of J in U 1.500 * [backup-simplify]: Simplify J into J 1.500 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 1.500 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.500 * [taylor]: Taking taylor expansion of U in U 1.500 * [backup-simplify]: Simplify 0 into 0 1.500 * [backup-simplify]: Simplify 1 into 1 1.500 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 1.500 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.500 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.500 * [taylor]: Taking taylor expansion of 1/2 in U 1.500 * [backup-simplify]: Simplify 1/2 into 1/2 1.500 * [taylor]: Taking taylor expansion of K in U 1.500 * [backup-simplify]: Simplify K into K 1.500 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.500 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.500 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.500 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.500 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.500 * [backup-simplify]: Simplify (- 0) into 0 1.500 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.500 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.501 * [backup-simplify]: Simplify (* 1 1) into 1 1.501 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.501 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 1.501 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 1.501 * [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))) 1.501 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in K 1.501 * [taylor]: Taking taylor expansion of 1/4 in K 1.501 * [backup-simplify]: Simplify 1/4 into 1/4 1.501 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in K 1.501 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.501 * [taylor]: Taking taylor expansion of J in K 1.501 * [backup-simplify]: Simplify J into J 1.501 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 1.501 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.501 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.501 * [taylor]: Taking taylor expansion of 1/2 in K 1.501 * [backup-simplify]: Simplify 1/2 into 1/2 1.501 * [taylor]: Taking taylor expansion of K in K 1.501 * [backup-simplify]: Simplify 0 into 0 1.501 * [backup-simplify]: Simplify 1 into 1 1.501 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.501 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.502 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.502 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.502 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 1.502 * [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))) 1.502 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 1.502 * [taylor]: Taking taylor expansion of 1/4 in J 1.502 * [backup-simplify]: Simplify 1/4 into 1/4 1.502 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 1.502 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.502 * [taylor]: Taking taylor expansion of J in J 1.502 * [backup-simplify]: Simplify 0 into 0 1.502 * [backup-simplify]: Simplify 1 into 1 1.502 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 1.502 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.502 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.502 * [taylor]: Taking taylor expansion of 1/2 in J 1.502 * [backup-simplify]: Simplify 1/2 into 1/2 1.502 * [taylor]: Taking taylor expansion of K in J 1.502 * [backup-simplify]: Simplify K into K 1.502 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.502 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.502 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.502 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.502 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.503 * [backup-simplify]: Simplify (- 0) into 0 1.503 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.503 * [backup-simplify]: Simplify (* 1 1) into 1 1.503 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.503 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 1.503 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1.503 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1.503 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.504 * [backup-simplify]: Simplify (+ 0) into 0 1.504 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.504 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.504 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.505 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.505 * [backup-simplify]: Simplify (- 0) into 0 1.505 * [backup-simplify]: Simplify (+ 0 0) into 0 1.505 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.506 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.506 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.506 * [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 1.507 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 1.507 * [taylor]: Taking taylor expansion of 0 in K 1.507 * [backup-simplify]: Simplify 0 into 0 1.507 * [taylor]: Taking taylor expansion of 0 in J 1.507 * [backup-simplify]: Simplify 0 into 0 1.507 * [backup-simplify]: Simplify 0 into 0 1.507 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.507 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.507 * [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))))) into 0 1.507 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 1.507 * [taylor]: Taking taylor expansion of 0 in J 1.507 * [backup-simplify]: Simplify 0 into 0 1.507 * [backup-simplify]: Simplify 0 into 0 1.508 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.508 * [backup-simplify]: Simplify (+ 0) into 0 1.509 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.509 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.509 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.510 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.510 * [backup-simplify]: Simplify (- 0) into 0 1.510 * [backup-simplify]: Simplify (+ 0 0) into 0 1.510 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.510 * [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 1.511 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 1.511 * [backup-simplify]: Simplify 0 into 0 1.511 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.512 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.512 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.512 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.513 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.513 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.513 * [backup-simplify]: Simplify (- 0) into 0 1.514 * [backup-simplify]: Simplify (+ 0 0) into 0 1.514 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 1.514 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.515 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 1.515 * [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 1.516 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 1.516 * [taylor]: Taking taylor expansion of 0 in K 1.516 * [backup-simplify]: Simplify 0 into 0 1.516 * [taylor]: Taking taylor expansion of 0 in J 1.516 * [backup-simplify]: Simplify 0 into 0 1.516 * [backup-simplify]: Simplify 0 into 0 1.516 * [taylor]: Taking taylor expansion of 0 in J 1.516 * [backup-simplify]: Simplify 0 into 0 1.516 * [backup-simplify]: Simplify 0 into 0 1.517 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.517 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 1.518 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 1.519 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 1.519 * [taylor]: Taking taylor expansion of 0 in J 1.519 * [backup-simplify]: Simplify 0 into 0 1.519 * [backup-simplify]: Simplify 0 into 0 1.519 * [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)))) 1.520 * [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)))) 1.520 * [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 1.520 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 1.520 * [taylor]: Taking taylor expansion of 1/4 in J 1.520 * [backup-simplify]: Simplify 1/4 into 1/4 1.520 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 1.520 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.520 * [taylor]: Taking taylor expansion of J in J 1.520 * [backup-simplify]: Simplify 0 into 0 1.520 * [backup-simplify]: Simplify 1 into 1 1.520 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 1.520 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 1.520 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.520 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.520 * [taylor]: Taking taylor expansion of -1/2 in J 1.520 * [backup-simplify]: Simplify -1/2 into -1/2 1.520 * [taylor]: Taking taylor expansion of K in J 1.520 * [backup-simplify]: Simplify K into K 1.520 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.520 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.520 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.521 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.521 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.521 * [backup-simplify]: Simplify (- 0) into 0 1.521 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.521 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.521 * [taylor]: Taking taylor expansion of U in J 1.521 * [backup-simplify]: Simplify U into U 1.522 * [backup-simplify]: Simplify (* 1 1) into 1 1.522 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.522 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.522 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 1.522 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 1.522 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 1.522 * [taylor]: Taking taylor expansion of 1/4 in K 1.522 * [backup-simplify]: Simplify 1/4 into 1/4 1.522 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 1.522 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.522 * [taylor]: Taking taylor expansion of J in K 1.523 * [backup-simplify]: Simplify J into J 1.523 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 1.523 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 1.523 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.523 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.523 * [taylor]: Taking taylor expansion of -1/2 in K 1.523 * [backup-simplify]: Simplify -1/2 into -1/2 1.523 * [taylor]: Taking taylor expansion of K in K 1.523 * [backup-simplify]: Simplify 0 into 0 1.523 * [backup-simplify]: Simplify 1 into 1 1.523 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.523 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.523 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.523 * [taylor]: Taking taylor expansion of U in K 1.523 * [backup-simplify]: Simplify U into U 1.524 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.524 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.524 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.524 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 1.524 * [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))) 1.524 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 1.524 * [taylor]: Taking taylor expansion of 1/4 in U 1.524 * [backup-simplify]: Simplify 1/4 into 1/4 1.524 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 1.524 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.524 * [taylor]: Taking taylor expansion of J in U 1.524 * [backup-simplify]: Simplify J into J 1.524 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 1.524 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 1.524 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.525 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.525 * [taylor]: Taking taylor expansion of -1/2 in U 1.525 * [backup-simplify]: Simplify -1/2 into -1/2 1.525 * [taylor]: Taking taylor expansion of K in U 1.525 * [backup-simplify]: Simplify K into K 1.525 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.525 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.525 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.525 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.525 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.525 * [backup-simplify]: Simplify (- 0) into 0 1.526 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.526 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.526 * [taylor]: Taking taylor expansion of U in U 1.526 * [backup-simplify]: Simplify 0 into 0 1.526 * [backup-simplify]: Simplify 1 into 1 1.526 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.526 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.526 * [backup-simplify]: Simplify (* 1 1) into 1 1.526 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 1.527 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 1.527 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 1.527 * [taylor]: Taking taylor expansion of 1/4 in U 1.527 * [backup-simplify]: Simplify 1/4 into 1/4 1.527 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 1.527 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.527 * [taylor]: Taking taylor expansion of J in U 1.527 * [backup-simplify]: Simplify J into J 1.527 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 1.527 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 1.527 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.527 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.527 * [taylor]: Taking taylor expansion of -1/2 in U 1.527 * [backup-simplify]: Simplify -1/2 into -1/2 1.527 * [taylor]: Taking taylor expansion of K in U 1.527 * [backup-simplify]: Simplify K into K 1.527 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.527 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.527 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.528 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.528 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.528 * [backup-simplify]: Simplify (- 0) into 0 1.528 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.528 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.528 * [taylor]: Taking taylor expansion of U in U 1.528 * [backup-simplify]: Simplify 0 into 0 1.528 * [backup-simplify]: Simplify 1 into 1 1.528 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.528 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.529 * [backup-simplify]: Simplify (* 1 1) into 1 1.529 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 1.529 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 1.529 * [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))) 1.529 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in K 1.529 * [taylor]: Taking taylor expansion of 1/4 in K 1.530 * [backup-simplify]: Simplify 1/4 into 1/4 1.530 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in K 1.530 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.530 * [taylor]: Taking taylor expansion of J in K 1.530 * [backup-simplify]: Simplify J into J 1.530 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 1.530 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.530 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.530 * [taylor]: Taking taylor expansion of -1/2 in K 1.530 * [backup-simplify]: Simplify -1/2 into -1/2 1.530 * [taylor]: Taking taylor expansion of K in K 1.530 * [backup-simplify]: Simplify 0 into 0 1.530 * [backup-simplify]: Simplify 1 into 1 1.530 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.530 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.530 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.531 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.531 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 1.531 * [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))) 1.531 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 1.531 * [taylor]: Taking taylor expansion of 1/4 in J 1.531 * [backup-simplify]: Simplify 1/4 into 1/4 1.531 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 1.531 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.531 * [taylor]: Taking taylor expansion of J in J 1.531 * [backup-simplify]: Simplify 0 into 0 1.531 * [backup-simplify]: Simplify 1 into 1 1.531 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 1.531 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.531 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.531 * [taylor]: Taking taylor expansion of -1/2 in J 1.531 * [backup-simplify]: Simplify -1/2 into -1/2 1.531 * [taylor]: Taking taylor expansion of K in J 1.531 * [backup-simplify]: Simplify K into K 1.531 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.531 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.532 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.532 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.532 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.532 * [backup-simplify]: Simplify (- 0) into 0 1.532 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.533 * [backup-simplify]: Simplify (* 1 1) into 1 1.533 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.533 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 1.533 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1.533 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1.533 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.534 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.534 * [backup-simplify]: Simplify (+ 0) into 0 1.535 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.535 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.536 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.536 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.537 * [backup-simplify]: Simplify (- 0) into 0 1.537 * [backup-simplify]: Simplify (+ 0 0) into 0 1.537 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.538 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 1.538 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 1.539 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 1.539 * [taylor]: Taking taylor expansion of 0 in K 1.539 * [backup-simplify]: Simplify 0 into 0 1.539 * [taylor]: Taking taylor expansion of 0 in J 1.539 * [backup-simplify]: Simplify 0 into 0 1.539 * [backup-simplify]: Simplify 0 into 0 1.539 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.539 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.540 * [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 1.540 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 1.540 * [taylor]: Taking taylor expansion of 0 in J 1.540 * [backup-simplify]: Simplify 0 into 0 1.540 * [backup-simplify]: Simplify 0 into 0 1.541 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.541 * [backup-simplify]: Simplify (+ 0) into 0 1.542 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.542 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.543 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.543 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.543 * [backup-simplify]: Simplify (- 0) into 0 1.544 * [backup-simplify]: Simplify (+ 0 0) into 0 1.544 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.544 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 1.545 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 1.545 * [backup-simplify]: Simplify 0 into 0 1.545 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.547 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.548 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.548 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.549 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.550 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.550 * [backup-simplify]: Simplify (- 0) into 0 1.550 * [backup-simplify]: Simplify (+ 0 0) into 0 1.551 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 1.552 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 1.552 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 1.553 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 1.553 * [taylor]: Taking taylor expansion of 0 in K 1.553 * [backup-simplify]: Simplify 0 into 0 1.553 * [taylor]: Taking taylor expansion of 0 in J 1.553 * [backup-simplify]: Simplify 0 into 0 1.554 * [backup-simplify]: Simplify 0 into 0 1.554 * [taylor]: Taking taylor expansion of 0 in J 1.554 * [backup-simplify]: Simplify 0 into 0 1.554 * [backup-simplify]: Simplify 0 into 0 1.554 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.555 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 1.555 * [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 1.556 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 1.556 * [taylor]: Taking taylor expansion of 0 in J 1.556 * [backup-simplify]: Simplify 0 into 0 1.556 * [backup-simplify]: Simplify 0 into 0 1.557 * [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)))) 1.557 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.557 * [backup-simplify]: Simplify (* (cos (/ K 2)) J) into (* (cos (* 1/2 K)) J) 1.557 * [approximate]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in (K J) around 0 1.557 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 1.557 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.557 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.557 * [taylor]: Taking taylor expansion of 1/2 in J 1.557 * [backup-simplify]: Simplify 1/2 into 1/2 1.557 * [taylor]: Taking taylor expansion of K in J 1.557 * [backup-simplify]: Simplify K into K 1.557 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.557 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.557 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.557 * [taylor]: Taking taylor expansion of J in J 1.557 * [backup-simplify]: Simplify 0 into 0 1.557 * [backup-simplify]: Simplify 1 into 1 1.557 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 1.557 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.557 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.557 * [taylor]: Taking taylor expansion of 1/2 in K 1.557 * [backup-simplify]: Simplify 1/2 into 1/2 1.557 * [taylor]: Taking taylor expansion of K in K 1.557 * [backup-simplify]: Simplify 0 into 0 1.558 * [backup-simplify]: Simplify 1 into 1 1.558 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.559 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.559 * [taylor]: Taking taylor expansion of J in K 1.559 * [backup-simplify]: Simplify J into J 1.559 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 1.559 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.559 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.559 * [taylor]: Taking taylor expansion of 1/2 in K 1.559 * [backup-simplify]: Simplify 1/2 into 1/2 1.559 * [taylor]: Taking taylor expansion of K in K 1.559 * [backup-simplify]: Simplify 0 into 0 1.559 * [backup-simplify]: Simplify 1 into 1 1.560 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.560 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.561 * [taylor]: Taking taylor expansion of J in K 1.561 * [backup-simplify]: Simplify J into J 1.561 * [backup-simplify]: Simplify (* 1 J) into J 1.561 * [taylor]: Taking taylor expansion of J in J 1.561 * [backup-simplify]: Simplify 0 into 0 1.561 * [backup-simplify]: Simplify 1 into 1 1.561 * [backup-simplify]: Simplify 0 into 0 1.561 * [backup-simplify]: Simplify (+ 0) into 0 1.562 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 1.562 * [taylor]: Taking taylor expansion of 0 in J 1.562 * [backup-simplify]: Simplify 0 into 0 1.562 * [backup-simplify]: Simplify 0 into 0 1.562 * [backup-simplify]: Simplify 1 into 1 1.563 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 1.564 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J)) 1.564 * [taylor]: Taking taylor expansion of (- (* 1/8 J)) in J 1.564 * [taylor]: Taking taylor expansion of (* 1/8 J) in J 1.564 * [taylor]: Taking taylor expansion of 1/8 in J 1.564 * [backup-simplify]: Simplify 1/8 into 1/8 1.564 * [taylor]: Taking taylor expansion of J in J 1.564 * [backup-simplify]: Simplify 0 into 0 1.564 * [backup-simplify]: Simplify 1 into 1 1.565 * [backup-simplify]: Simplify (* 1/8 0) into 0 1.565 * [backup-simplify]: Simplify (- 0) into 0 1.565 * [backup-simplify]: Simplify 0 into 0 1.565 * [backup-simplify]: Simplify 0 into 0 1.565 * [backup-simplify]: Simplify 0 into 0 1.566 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1.567 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0 1.569 * [taylor]: Taking taylor expansion of 0 in J 1.569 * [backup-simplify]: Simplify 0 into 0 1.569 * [backup-simplify]: Simplify 0 into 0 1.570 * [backup-simplify]: Simplify (+ (* 1/8 1) (* 0 0)) into 1/8 1.570 * [backup-simplify]: Simplify (- 1/8) into -1/8 1.570 * [backup-simplify]: Simplify -1/8 into -1/8 1.570 * [backup-simplify]: Simplify 0 into 0 1.570 * [backup-simplify]: Simplify 0 into 0 1.571 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.574 * [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 1.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (+ (* 0 0) (* 1/384 J))))) into (* 1/384 J) 1.576 * [taylor]: Taking taylor expansion of (* 1/384 J) in J 1.576 * [taylor]: Taking taylor expansion of 1/384 in J 1.576 * [backup-simplify]: Simplify 1/384 into 1/384 1.576 * [taylor]: Taking taylor expansion of J in J 1.576 * [backup-simplify]: Simplify 0 into 0 1.576 * [backup-simplify]: Simplify 1 into 1 1.577 * [backup-simplify]: Simplify (* 1/384 0) into 0 1.577 * [backup-simplify]: Simplify 0 into 0 1.577 * [backup-simplify]: Simplify 0 into 0 1.578 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 1) (* 0 0))) into 0 1.578 * [backup-simplify]: Simplify (- 0) into 0 1.578 * [backup-simplify]: Simplify 0 into 0 1.578 * [backup-simplify]: Simplify 0 into 0 1.578 * [backup-simplify]: Simplify (+ (* -1/8 (* J (pow K 2))) (* 1 (* J 1))) into (- J (* 1/8 (* (pow K 2) J))) 1.579 * [backup-simplify]: Simplify (* (cos (/ (/ 1 K) 2)) (/ 1 J)) into (/ (cos (/ 1/2 K)) J) 1.579 * [approximate]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in (K J) around 0 1.579 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 1.579 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.579 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.579 * [taylor]: Taking taylor expansion of 1/2 in J 1.579 * [backup-simplify]: Simplify 1/2 into 1/2 1.579 * [taylor]: Taking taylor expansion of K in J 1.579 * [backup-simplify]: Simplify K into K 1.579 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.579 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.579 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.579 * [taylor]: Taking taylor expansion of J in J 1.579 * [backup-simplify]: Simplify 0 into 0 1.579 * [backup-simplify]: Simplify 1 into 1 1.579 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.579 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.580 * [backup-simplify]: Simplify (- 0) into 0 1.580 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.580 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.580 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 1.580 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.580 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.580 * [taylor]: Taking taylor expansion of 1/2 in K 1.580 * [backup-simplify]: Simplify 1/2 into 1/2 1.580 * [taylor]: Taking taylor expansion of K in K 1.580 * [backup-simplify]: Simplify 0 into 0 1.580 * [backup-simplify]: Simplify 1 into 1 1.581 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.581 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.581 * [taylor]: Taking taylor expansion of J in K 1.581 * [backup-simplify]: Simplify J into J 1.581 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 1.581 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 1.581 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.581 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.581 * [taylor]: Taking taylor expansion of 1/2 in K 1.581 * [backup-simplify]: Simplify 1/2 into 1/2 1.581 * [taylor]: Taking taylor expansion of K in K 1.581 * [backup-simplify]: Simplify 0 into 0 1.581 * [backup-simplify]: Simplify 1 into 1 1.581 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.582 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.582 * [taylor]: Taking taylor expansion of J in K 1.582 * [backup-simplify]: Simplify J into J 1.582 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 1.582 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 1.582 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.582 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.582 * [taylor]: Taking taylor expansion of 1/2 in J 1.582 * [backup-simplify]: Simplify 1/2 into 1/2 1.582 * [taylor]: Taking taylor expansion of K in J 1.582 * [backup-simplify]: Simplify K into K 1.582 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.582 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.582 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.582 * [taylor]: Taking taylor expansion of J in J 1.582 * [backup-simplify]: Simplify 0 into 0 1.582 * [backup-simplify]: Simplify 1 into 1 1.582 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.582 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.583 * [backup-simplify]: Simplify (- 0) into 0 1.583 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.583 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.583 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.583 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 1.583 * [taylor]: Taking taylor expansion of 0 in J 1.583 * [backup-simplify]: Simplify 0 into 0 1.584 * [backup-simplify]: Simplify (+ 0) into 0 1.584 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.584 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.585 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.586 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.586 * [backup-simplify]: Simplify (- 0) into 0 1.586 * [backup-simplify]: Simplify (+ 0 0) into 0 1.587 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 1.587 * [backup-simplify]: Simplify 0 into 0 1.588 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.588 * [taylor]: Taking taylor expansion of 0 in J 1.588 * [backup-simplify]: Simplify 0 into 0 1.588 * [backup-simplify]: Simplify 0 into 0 1.589 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.589 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.590 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.591 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.591 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.592 * [backup-simplify]: Simplify (- 0) into 0 1.592 * [backup-simplify]: Simplify (+ 0 0) into 0 1.593 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.594 * [backup-simplify]: Simplify 0 into 0 1.594 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.594 * [taylor]: Taking taylor expansion of 0 in J 1.594 * [backup-simplify]: Simplify 0 into 0 1.594 * [backup-simplify]: Simplify 0 into 0 1.594 * [backup-simplify]: Simplify 0 into 0 1.595 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.596 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.596 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.598 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.599 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.599 * [backup-simplify]: Simplify (- 0) into 0 1.599 * [backup-simplify]: Simplify (+ 0 0) into 0 1.601 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.601 * [backup-simplify]: Simplify 0 into 0 1.601 * [backup-simplify]: Simplify (* (cos (/ 1/2 (/ 1 K))) (* (/ 1 (/ 1 J)) 1)) into (* (cos (* 1/2 K)) J) 1.602 * [backup-simplify]: Simplify (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))) into (* -1 (/ (cos (/ -1/2 K)) J)) 1.602 * [approximate]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 K)) J)) in (K J) around 0 1.602 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 K)) J)) in J 1.602 * [taylor]: Taking taylor expansion of -1 in J 1.602 * [backup-simplify]: Simplify -1 into -1 1.602 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 1.602 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.602 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.602 * [taylor]: Taking taylor expansion of -1/2 in J 1.602 * [backup-simplify]: Simplify -1/2 into -1/2 1.602 * [taylor]: Taking taylor expansion of K in J 1.602 * [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 * [taylor]: Taking taylor expansion of J in J 1.602 * [backup-simplify]: Simplify 0 into 0 1.602 * [backup-simplify]: Simplify 1 into 1 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 1.603 * [backup-simplify]: Simplify (- 0) into 0 1.603 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.603 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.603 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 K)) J)) in K 1.603 * [taylor]: Taking taylor expansion of -1 in K 1.603 * [backup-simplify]: Simplify -1 into -1 1.603 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 1.603 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.603 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.603 * [taylor]: Taking taylor expansion of -1/2 in K 1.603 * [backup-simplify]: Simplify -1/2 into -1/2 1.603 * [taylor]: Taking taylor expansion of K in K 1.603 * [backup-simplify]: Simplify 0 into 0 1.603 * [backup-simplify]: Simplify 1 into 1 1.604 * [backup-simplify]: Simplify (/ -1/2 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 J in K 1.604 * [backup-simplify]: Simplify J into J 1.604 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 1.604 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 K)) J)) in K 1.604 * [taylor]: Taking taylor expansion of -1 in K 1.604 * [backup-simplify]: Simplify -1 into -1 1.604 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) 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 1.605 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.605 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.605 * [taylor]: Taking taylor expansion of J in K 1.605 * [backup-simplify]: Simplify J into J 1.605 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 1.605 * [backup-simplify]: Simplify (* -1 (/ (cos (/ -1/2 K)) J)) into (* -1 (/ (cos (/ -1/2 K)) J)) 1.605 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 K)) J)) in J 1.605 * [taylor]: Taking taylor expansion of -1 in J 1.605 * [backup-simplify]: Simplify -1 into -1 1.605 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 1.605 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.605 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.605 * [taylor]: Taking taylor expansion of -1/2 in J 1.605 * [backup-simplify]: Simplify -1/2 into -1/2 1.605 * [taylor]: Taking taylor expansion of K in J 1.605 * [backup-simplify]: Simplify K into K 1.605 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.605 * [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 * [taylor]: Taking taylor expansion of J in J 1.606 * [backup-simplify]: Simplify 0 into 0 1.606 * [backup-simplify]: Simplify 1 into 1 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 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.606 * [backup-simplify]: Simplify (* -1 (cos (/ -1/2 K))) into (* -1 (cos (/ -1/2 K))) 1.607 * [backup-simplify]: Simplify (* -1 (cos (/ -1/2 K))) into (* -1 (cos (/ -1/2 K))) 1.607 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0 1.607 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (cos (/ -1/2 K)) J))) into 0 1.607 * [taylor]: Taking taylor expansion of 0 in J 1.607 * [backup-simplify]: Simplify 0 into 0 1.608 * [backup-simplify]: Simplify (+ 0) into 0 1.608 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.608 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.609 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.610 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.610 * [backup-simplify]: Simplify (- 0) into 0 1.611 * [backup-simplify]: Simplify (+ 0 0) into 0 1.612 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 1.612 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cos (/ -1/2 K)))) into 0 1.612 * [backup-simplify]: Simplify 0 into 0 1.612 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.613 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (cos (/ -1/2 K)) J)))) into 0 1.613 * [taylor]: Taking taylor expansion of 0 in J 1.613 * [backup-simplify]: Simplify 0 into 0 1.613 * [backup-simplify]: Simplify 0 into 0 1.614 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.615 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.615 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.616 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.617 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.617 * [backup-simplify]: Simplify (- 0) into 0 1.618 * [backup-simplify]: Simplify (+ 0 0) into 0 1.621 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.622 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 1.622 * [backup-simplify]: Simplify 0 into 0 1.623 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.624 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ -1/2 K)) J))))) into 0 1.624 * [taylor]: Taking taylor expansion of 0 in J 1.624 * [backup-simplify]: Simplify 0 into 0 1.624 * [backup-simplify]: Simplify 0 into 0 1.624 * [backup-simplify]: Simplify 0 into 0 1.625 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.626 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.626 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.628 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.628 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.629 * [backup-simplify]: Simplify (- 0) into 0 1.629 * [backup-simplify]: Simplify (+ 0 0) into 0 1.631 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.632 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 1.632 * [backup-simplify]: Simplify 0 into 0 1.632 * [backup-simplify]: Simplify (* (* -1 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (/ 1 (- J))) 1)) into (* (cos (* 1/2 K)) J) 1.633 * * * [progress]: simplifying candidates 1.633 * * * * [progress]: [ 1 / 143 ] simplifiying candidate # 1.633 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)) 1.633 * * [simplify]: iters left: 6 (16 enodes) 1.642 * * [simplify]: iters left: 5 (67 enodes) 1.665 * * [simplify]: iters left: 4 (143 enodes) 1.730 * * [simplify]: iters left: 3 (434 enodes) 1.979 * * [simplify]: Extracting #0: cost 1 inf + 0 1.979 * * [simplify]: Extracting #1: cost 19 inf + 0 1.979 * * [simplify]: Extracting #2: cost 31 inf + 2 1.979 * * [simplify]: Extracting #3: cost 36 inf + 44 1.980 * * [simplify]: Extracting #4: cost 142 inf + 89 1.982 * * [simplify]: Extracting #5: cost 232 inf + 4336 1.997 * * [simplify]: Extracting #6: cost 40 inf + 43927 2.031 * * [simplify]: Extracting #7: cost 2 inf + 54059 2.062 * * [simplify]: Extracting #8: cost 0 inf + 54749 2.082 * [simplify]: Simplified to (* (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) J)) 2.082 * [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)) 2.082 * * * * [progress]: [ 2 / 143 ] simplifiying candidate # 2.082 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)) 2.082 * * [simplify]: iters left: 6 (16 enodes) 2.087 * * [simplify]: iters left: 5 (67 enodes) 2.099 * * [simplify]: iters left: 4 (143 enodes) 2.136 * * [simplify]: iters left: 3 (434 enodes) 2.404 * * [simplify]: Extracting #0: cost 1 inf + 0 2.404 * * [simplify]: Extracting #1: cost 19 inf + 0 2.404 * * [simplify]: Extracting #2: cost 31 inf + 2 2.404 * * [simplify]: Extracting #3: cost 36 inf + 44 2.404 * * [simplify]: Extracting #4: cost 142 inf + 89 2.406 * * [simplify]: Extracting #5: cost 232 inf + 4336 2.417 * * [simplify]: Extracting #6: cost 40 inf + 43927 2.449 * * [simplify]: Extracting #7: cost 2 inf + 54059 2.483 * * [simplify]: Extracting #8: cost 0 inf + 54749 2.510 * [simplify]: Simplified to (* (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) J)) 2.510 * [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)) 2.510 * * * * [progress]: [ 3 / 143 ] simplifiying candidate # 2.510 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)) 2.510 * * [simplify]: iters left: 6 (16 enodes) 2.515 * * [simplify]: iters left: 5 (67 enodes) 2.532 * * [simplify]: iters left: 4 (143 enodes) 2.598 * * [simplify]: iters left: 3 (434 enodes) 2.875 * * [simplify]: Extracting #0: cost 1 inf + 0 2.875 * * [simplify]: Extracting #1: cost 19 inf + 0 2.875 * * [simplify]: Extracting #2: cost 31 inf + 2 2.875 * * [simplify]: Extracting #3: cost 36 inf + 44 2.875 * * [simplify]: Extracting #4: cost 142 inf + 89 2.879 * * [simplify]: Extracting #5: cost 232 inf + 4336 2.900 * * [simplify]: Extracting #6: cost 40 inf + 43927 2.917 * * [simplify]: Extracting #7: cost 2 inf + 54059 2.945 * * [simplify]: Extracting #8: cost 0 inf + 54749 2.967 * [simplify]: Simplified to (* (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) J)) 2.967 * [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)) 2.967 * * * * [progress]: [ 4 / 143 ] simplifiying candidate # 2.967 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)) 2.968 * * [simplify]: iters left: 6 (16 enodes) 2.972 * * [simplify]: iters left: 5 (67 enodes) 2.984 * * [simplify]: iters left: 4 (143 enodes) 3.036 * * [simplify]: iters left: 3 (434 enodes) 3.312 * * [simplify]: Extracting #0: cost 1 inf + 0 3.312 * * [simplify]: Extracting #1: cost 19 inf + 0 3.312 * * [simplify]: Extracting #2: cost 31 inf + 2 3.312 * * [simplify]: Extracting #3: cost 36 inf + 44 3.312 * * [simplify]: Extracting #4: cost 142 inf + 89 3.314 * * [simplify]: Extracting #5: cost 232 inf + 4336 3.325 * * [simplify]: Extracting #6: cost 40 inf + 43927 3.349 * * [simplify]: Extracting #7: cost 2 inf + 54059 3.369 * * [simplify]: Extracting #8: cost 0 inf + 54749 3.400 * [simplify]: Simplified to (* (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) J)) 3.400 * [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)) 3.401 * * * * [progress]: [ 5 / 143 ] simplifiying candidate # 3.401 * * * * [progress]: [ 6 / 143 ] simplifiying candidate # 3.401 * [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))) 3.401 * * [simplify]: iters left: 6 (21 enodes) 3.412 * * [simplify]: iters left: 5 (83 enodes) 3.440 * * [simplify]: iters left: 4 (159 enodes) 3.510 * * [simplify]: iters left: 3 (450 enodes) 3.734 * * [simplify]: Extracting #0: cost 1 inf + 0 3.734 * * [simplify]: Extracting #1: cost 17 inf + 0 3.735 * * [simplify]: Extracting #2: cost 35 inf + 0 3.735 * * [simplify]: Extracting #3: cost 35 inf + 144 3.735 * * [simplify]: Extracting #4: cost 39 inf + 397 3.735 * * [simplify]: Extracting #5: cost 149 inf + 653 3.737 * * [simplify]: Extracting #6: cost 241 inf + 4041 3.746 * * [simplify]: Extracting #7: cost 67 inf + 41321 3.769 * * [simplify]: Extracting #8: cost 2 inf + 59818 3.789 * * [simplify]: Extracting #9: cost 0 inf + 60617 3.818 * [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))) 3.818 * [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))))) 3.818 * * * * [progress]: [ 7 / 143 ] simplifiying candidate # 3.818 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (log (* (cos (/ K 2)) J))) 3.818 * * [simplify]: iters left: 6 (19 enodes) 3.829 * * [simplify]: iters left: 5 (77 enodes) 3.854 * * [simplify]: iters left: 4 (149 enodes) 3.921 * * [simplify]: iters left: 3 (437 enodes) 4.224 * * [simplify]: Extracting #0: cost 1 inf + 0 4.224 * * [simplify]: Extracting #1: cost 16 inf + 0 4.224 * * [simplify]: Extracting #2: cost 35 inf + 0 4.225 * * [simplify]: Extracting #3: cost 36 inf + 144 4.225 * * [simplify]: Extracting #4: cost 39 inf + 579 4.225 * * [simplify]: Extracting #5: cost 147 inf + 653 4.227 * * [simplify]: Extracting #6: cost 234 inf + 5707 4.238 * * [simplify]: Extracting #7: cost 48 inf + 45584 4.270 * * [simplify]: Extracting #8: cost 2 inf + 58533 4.305 * * [simplify]: Extracting #9: cost 0 inf + 59248 4.332 * [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)))))))) 4.332 * [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)))))))))) 4.332 * * * * [progress]: [ 8 / 143 ] simplifiying candidate # 4.332 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (+ (log (cos (/ K 2))) (log J))) 4.332 * * [simplify]: iters left: 6 (20 enodes) 4.338 * * [simplify]: iters left: 5 (81 enodes) 4.351 * * [simplify]: iters left: 4 (153 enodes) 4.415 * * [simplify]: iters left: 3 (441 enodes) 4.651 * * [simplify]: Extracting #0: cost 1 inf + 0 4.651 * * [simplify]: Extracting #1: cost 16 inf + 0 4.652 * * [simplify]: Extracting #2: cost 35 inf + 0 4.652 * * [simplify]: Extracting #3: cost 38 inf + 2 4.652 * * [simplify]: Extracting #4: cost 42 inf + 144 4.652 * * [simplify]: Extracting #5: cost 145 inf + 653 4.654 * * [simplify]: Extracting #6: cost 246 inf + 3631 4.666 * * [simplify]: Extracting #7: cost 70 inf + 39778 4.684 * * [simplify]: Extracting #8: cost 2 inf + 58947 4.701 * * [simplify]: Extracting #9: cost 0 inf + 59856 4.719 * * [simplify]: Extracting #10: cost 0 inf + 59855 4.750 * [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))))))) 4.750 * [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))))))))) 4.750 * * * * [progress]: [ 9 / 143 ] simplifiying candidate # 4.750 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (log (* (cos (/ K 2)) J))) 4.751 * * [simplify]: iters left: 6 (18 enodes) 4.758 * * [simplify]: iters left: 5 (75 enodes) 4.772 * * [simplify]: iters left: 4 (146 enodes) 4.803 * * [simplify]: iters left: 3 (432 enodes) 5.132 * * [simplify]: Extracting #0: cost 1 inf + 0 5.132 * * [simplify]: Extracting #1: cost 16 inf + 0 5.133 * * [simplify]: Extracting #2: cost 36 inf + 0 5.133 * * [simplify]: Extracting #3: cost 38 inf + 144 5.133 * * [simplify]: Extracting #4: cost 41 inf + 468 5.133 * * [simplify]: Extracting #5: cost 150 inf + 653 5.136 * * [simplify]: Extracting #6: cost 220 inf + 8356 5.154 * * [simplify]: Extracting #7: cost 49 inf + 44223 5.170 * * [simplify]: Extracting #8: cost 4 inf + 57371 5.196 * * [simplify]: Extracting #9: cost 0 inf + 59271 5.234 * [simplify]: Simplified to (+ (log (* -2 (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (log (* (cos (/ K 2)) J))) 5.234 * [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))))) 5.234 * * * * [progress]: [ 10 / 143 ] simplifiying candidate # 5.234 * * * * [progress]: [ 11 / 143 ] simplifiying candidate # 5.234 * * * * [progress]: [ 12 / 143 ] simplifiying candidate # 5.235 * [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))) 5.235 * * [simplify]: iters left: 6 (25 enodes) 5.249 * * [simplify]: iters left: 5 (106 enodes) 5.290 * * [simplify]: iters left: 4 (290 enodes) 5.473 * * [simplify]: Extracting #0: cost 1 inf + 0 5.473 * * [simplify]: Extracting #1: cost 60 inf + 0 5.475 * * [simplify]: Extracting #2: cost 290 inf + 4 5.478 * * [simplify]: Extracting #3: cost 386 inf + 336 5.487 * * [simplify]: Extracting #4: cost 335 inf + 25383 5.527 * * [simplify]: Extracting #5: cost 110 inf + 100606 5.573 * * [simplify]: Extracting #6: cost 6 inf + 147667 5.628 * * [simplify]: Extracting #7: cost 0 inf + 150742 5.675 * [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))))))) 5.675 * [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))))))))) 5.675 * * * * [progress]: [ 13 / 143 ] simplifiying candidate # 5.675 * [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))) 5.676 * * [simplify]: iters left: 6 (22 enodes) 5.683 * * [simplify]: iters left: 5 (100 enodes) 5.704 * * [simplify]: iters left: 4 (294 enodes) 5.931 * * [simplify]: Extracting #0: cost 1 inf + 0 5.931 * * [simplify]: Extracting #1: cost 60 inf + 0 5.933 * * [simplify]: Extracting #2: cost 296 inf + 45 5.936 * * [simplify]: Extracting #3: cost 387 inf + 838 5.948 * * [simplify]: Extracting #4: cost 321 inf + 30714 5.990 * * [simplify]: Extracting #5: cost 92 inf + 107949 6.036 * * [simplify]: Extracting #6: cost 2 inf + 149823 6.084 * * [simplify]: Extracting #7: cost 0 inf + 150712 6.135 * [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)))) 6.135 * [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)))))) 6.136 * * * * [progress]: [ 14 / 143 ] simplifiying candidate # 6.136 * [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))) 6.136 * * [simplify]: iters left: 6 (23 enodes) 6.149 * * [simplify]: iters left: 5 (106 enodes) 6.188 * * [simplify]: iters left: 4 (272 enodes) 6.310 * * [simplify]: Extracting #0: cost 1 inf + 0 6.310 * * [simplify]: Extracting #1: cost 52 inf + 0 6.311 * * [simplify]: Extracting #2: cost 237 inf + 2 6.312 * * [simplify]: Extracting #3: cost 242 inf + 291 6.314 * * [simplify]: Extracting #4: cost 268 inf + 3688 6.326 * * [simplify]: Extracting #5: cost 226 inf + 37118 6.376 * * [simplify]: Extracting #6: cost 18 inf + 117250 6.413 * * [simplify]: Extracting #7: cost 0 inf + 126135 6.467 * * [simplify]: Extracting #8: cost 0 inf + 126134 6.540 * [simplify]: Simplified to (* (* (sqrt (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))))) (* -8 (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J)))))) (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))) 6.540 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (sqrt (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))))) (* -8 (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J)))))) (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))))) 6.541 * * * * [progress]: [ 15 / 143 ] simplifiying candidate # 6.541 * [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))) 6.541 * * [simplify]: iters left: 6 (20 enodes) 6.553 * * [simplify]: iters left: 5 (100 enodes) 6.593 * * [simplify]: iters left: 4 (276 enodes) 6.744 * * [simplify]: Extracting #0: cost 1 inf + 0 6.744 * * [simplify]: Extracting #1: cost 53 inf + 0 6.745 * * [simplify]: Extracting #2: cost 239 inf + 43 6.746 * * [simplify]: Extracting #3: cost 239 inf + 415 6.747 * * [simplify]: Extracting #4: cost 270 inf + 3145 6.752 * * [simplify]: Extracting #5: cost 251 inf + 23178 6.767 * * [simplify]: Extracting #6: cost 106 inf + 68699 6.801 * * [simplify]: Extracting #7: cost 10 inf + 115190 6.843 * * [simplify]: Extracting #8: cost 0 inf + 120330 6.910 * [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)))))) 6.910 * [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)))))))) 6.910 * * * * [progress]: [ 16 / 143 ] simplifiying candidate # 6.910 * * * * [progress]: [ 17 / 143 ] simplifiying candidate # 6.911 * * * * [progress]: [ 18 / 143 ] simplifiying candidate # 6.911 * * * * [progress]: [ 19 / 143 ] simplifiying candidate # 6.911 * * * * [progress]: [ 20 / 143 ] simplifiying candidate # 6.911 * * * * [progress]: [ 21 / 143 ] simplifiying candidate # 6.911 * [simplify]: Simplifying (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 6.911 * * [simplify]: iters left: 6 (13 enodes) 6.918 * * [simplify]: iters left: 5 (52 enodes) 6.936 * * [simplify]: iters left: 4 (105 enodes) 6.990 * * [simplify]: iters left: 3 (359 enodes) 7.220 * * [simplify]: Extracting #0: cost 1 inf + 0 7.220 * * [simplify]: Extracting #1: cost 3 inf + 0 7.220 * * [simplify]: Extracting #2: cost 6 inf + 0 7.220 * * [simplify]: Extracting #3: cost 118 inf + 1 7.221 * * [simplify]: Extracting #4: cost 235 inf + 336 7.222 * * [simplify]: Extracting #5: cost 193 inf + 4402 7.226 * * [simplify]: Extracting #6: cost 119 inf + 19348 7.245 * * [simplify]: Extracting #7: cost 7 inf + 46040 7.260 * * [simplify]: Extracting #8: cost 0 inf + 47488 7.274 * [simplify]: Simplified to (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 7.274 * [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)))) 7.274 * * * * [progress]: [ 22 / 143 ] simplifiying candidate # 7.275 * [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)) 7.275 * * [simplify]: iters left: 6 (19 enodes) 7.281 * * [simplify]: iters left: 5 (85 enodes) 7.300 * * [simplify]: iters left: 4 (216 enodes) 7.405 * * [simplify]: Extracting #0: cost 1 inf + 0 7.405 * * [simplify]: Extracting #1: cost 16 inf + 0 7.405 * * [simplify]: Extracting #2: cost 27 inf + 44 7.405 * * [simplify]: Extracting #3: cost 32 inf + 86 7.405 * * [simplify]: Extracting #4: cost 125 inf + 89 7.406 * * [simplify]: Extracting #5: cost 329 inf + 858 7.411 * * [simplify]: Extracting #6: cost 272 inf + 29285 7.428 * * [simplify]: Extracting #7: cost 76 inf + 96357 7.483 * * [simplify]: Extracting #8: cost 1 inf + 124961 7.540 * * [simplify]: Extracting #9: cost 0 inf + 125265 7.596 * [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) 7.596 * [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)))))) 7.596 * * * * [progress]: [ 23 / 143 ] simplifiying candidate # 7.597 * [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)) 7.597 * * [simplify]: iters left: 6 (18 enodes) 7.607 * * [simplify]: iters left: 5 (77 enodes) 7.635 * * [simplify]: iters left: 4 (190 enodes) 7.732 * * [simplify]: Extracting #0: cost 1 inf + 0 7.732 * * [simplify]: Extracting #1: cost 16 inf + 0 7.733 * * [simplify]: Extracting #2: cost 28 inf + 2 7.733 * * [simplify]: Extracting #3: cost 35 inf + 86 7.733 * * [simplify]: Extracting #4: cost 122 inf + 90 7.735 * * [simplify]: Extracting #5: cost 296 inf + 1624 7.752 * * [simplify]: Extracting #6: cost 126 inf + 54777 7.788 * * [simplify]: Extracting #7: cost 1 inf + 93095 7.819 * * [simplify]: Extracting #8: cost 0 inf + 93560 7.848 * [simplify]: Simplified to (* (* -2 (* (cos (/ K 2)) J)) (sqrt (- (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1))) 7.848 * [simplify]: Simplified (2 1) to (λ (J K U) (/ (* (* -2 (* (cos (/ K 2)) J)) (sqrt (- (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1))) (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) 7.848 * * * * [progress]: [ 24 / 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)))))> 7.848 * * * * [progress]: [ 25 / 143 ] simplifiying candidate # 7.848 * * * * [progress]: [ 26 / 143 ] simplifiying candidate # 7.848 * * * * [progress]: [ 27 / 143 ] simplifiying candidate # 7.848 * * * * [progress]: [ 28 / 143 ] simplifiying candidate # 7.849 * * * * [progress]: [ 29 / 143 ] simplifiying candidate # 7.849 * * * * [progress]: [ 30 / 143 ] simplifiying candidate # 7.849 * * * * [progress]: [ 31 / 143 ] simplifiying candidate # 7.849 * * * * [progress]: [ 32 / 143 ] simplifiying candidate # 7.849 * [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)))) 7.849 * * [simplify]: iters left: 6 (15 enodes) 7.857 * * [simplify]: iters left: 5 (59 enodes) 7.875 * * [simplify]: iters left: 4 (112 enodes) 7.906 * * [simplify]: iters left: 3 (365 enodes) 8.142 * * [simplify]: Extracting #0: cost 1 inf + 0 8.142 * * [simplify]: Extracting #1: cost 4 inf + 0 8.142 * * [simplify]: Extracting #2: cost 7 inf + 0 8.142 * * [simplify]: Extracting #3: cost 10 inf + 0 8.143 * * [simplify]: Extracting #4: cost 122 inf + 1 8.145 * * [simplify]: Extracting #5: cost 241 inf + 89 8.148 * * [simplify]: Extracting #6: cost 203 inf + 3666 8.156 * * [simplify]: Extracting #7: cost 128 inf + 17960 8.179 * * [simplify]: Extracting #8: cost 13 inf + 45848 8.208 * * [simplify]: Extracting #9: cost 0 inf + 48961 8.223 * [simplify]: Simplified to (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) 8.223 * [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))) 8.223 * * * * [progress]: [ 33 / 143 ] simplifiying candidate # 8.223 * [simplify]: Simplifying (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) 8.223 * * [simplify]: iters left: 6 (14 enodes) 8.227 * * [simplify]: iters left: 5 (55 enodes) 8.237 * * [simplify]: iters left: 4 (108 enodes) 8.270 * * [simplify]: iters left: 3 (363 enodes) 8.502 * * [simplify]: Extracting #0: cost 1 inf + 0 8.502 * * [simplify]: Extracting #1: cost 3 inf + 0 8.503 * * [simplify]: Extracting #2: cost 5 inf + 0 8.503 * * [simplify]: Extracting #3: cost 8 inf + 0 8.503 * * [simplify]: Extracting #4: cost 123 inf + 1 8.505 * * [simplify]: Extracting #5: cost 234 inf + 420 8.508 * * [simplify]: Extracting #6: cost 203 inf + 3175 8.517 * * [simplify]: Extracting #7: cost 127 inf + 18949 8.543 * * [simplify]: Extracting #8: cost 7 inf + 46860 8.572 * * [simplify]: Extracting #9: cost 0 inf + 48232 8.586 * [simplify]: Simplified to (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 8.586 * [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))) 8.586 * * * * [progress]: [ 34 / 143 ] simplifiying candidate # 8.586 * [simplify]: Simplifying (sqrt 1) 8.586 * * [simplify]: iters left: 1 (2 enodes) 8.589 * * [simplify]: Extracting #0: cost 1 inf + 0 8.589 * * [simplify]: Extracting #1: cost 0 inf + 1 8.589 * [simplify]: Simplified to 1 8.589 * [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))) 8.589 * * * * [progress]: [ 35 / 143 ] simplifiying candidate # 8.589 * [simplify]: Simplifying (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3))) 8.589 * * [simplify]: iters left: 6 (16 enodes) 8.594 * * [simplify]: iters left: 5 (70 enodes) 8.621 * * [simplify]: iters left: 4 (176 enodes) 8.716 * * [simplify]: Extracting #0: cost 1 inf + 0 8.716 * * [simplify]: Extracting #1: cost 3 inf + 0 8.716 * * [simplify]: Extracting #2: cost 6 inf + 0 8.716 * * [simplify]: Extracting #3: cost 103 inf + 1 8.718 * * [simplify]: Extracting #4: cost 306 inf + 6 8.720 * * [simplify]: Extracting #5: cost 338 inf + 1810 8.728 * * [simplify]: Extracting #6: cost 242 inf + 27932 8.759 * * [simplify]: Extracting #7: cost 28 inf + 100762 8.782 * * [simplify]: Extracting #8: cost 0 inf + 110036 8.822 * [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))))))) 8.822 * [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))) 8.823 * * * * [progress]: [ 36 / 143 ] simplifiying candidate # 8.823 * [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))) 8.823 * * [simplify]: iters left: 6 (15 enodes) 8.832 * * [simplify]: iters left: 5 (62 enodes) 8.854 * * [simplify]: iters left: 4 (150 enodes) 8.964 * * [simplify]: Extracting #0: cost 1 inf + 0 8.964 * * [simplify]: Extracting #1: cost 3 inf + 0 8.964 * * [simplify]: Extracting #2: cost 9 inf + 0 8.964 * * [simplify]: Extracting #3: cost 105 inf + 2 8.965 * * [simplify]: Extracting #4: cost 286 inf + 6 8.966 * * [simplify]: Extracting #5: cost 280 inf + 1923 8.971 * * [simplify]: Extracting #6: cost 191 inf + 25190 8.985 * * [simplify]: Extracting #7: cost 26 inf + 76271 9.014 * * [simplify]: Extracting #8: cost 0 inf + 85028 9.049 * [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)) 9.050 * [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))) 9.050 * * * * [progress]: [ 37 / 143 ] simplifiying candidate # 9.050 * [simplify]: Simplifying (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 9.050 * * [simplify]: iters left: 6 (12 enodes) 9.057 * * [simplify]: iters left: 5 (49 enodes) 9.074 * * [simplify]: iters left: 4 (102 enodes) 9.109 * * [simplify]: iters left: 3 (356 enodes) 9.320 * * [simplify]: Extracting #0: cost 1 inf + 0 9.320 * * [simplify]: Extracting #1: cost 4 inf + 0 9.321 * * [simplify]: Extracting #2: cost 116 inf + 1 9.322 * * [simplify]: Extracting #3: cost 234 inf + 254 9.324 * * [simplify]: Extracting #4: cost 192 inf + 4198 9.328 * * [simplify]: Extracting #5: cost 121 inf + 19235 9.343 * * [simplify]: Extracting #6: cost 5 inf + 46310 9.370 * * [simplify]: Extracting #7: cost 0 inf + 47117 9.387 * * [simplify]: Extracting #8: cost 0 inf + 46998 9.411 * [simplify]: Simplified to (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 9.411 * [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))) 9.411 * * * * [progress]: [ 38 / 143 ] simplifiying candidate # 9.412 * * * * [progress]: [ 39 / 143 ] simplifiying candidate # 9.412 * [simplify]: Simplifying (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 9.412 * * [simplify]: iters left: 6 (13 enodes) 9.419 * * [simplify]: iters left: 5 (52 enodes) 9.437 * * [simplify]: iters left: 4 (105 enodes) 9.476 * * [simplify]: iters left: 3 (359 enodes) 9.677 * * [simplify]: Extracting #0: cost 1 inf + 0 9.677 * * [simplify]: Extracting #1: cost 3 inf + 0 9.677 * * [simplify]: Extracting #2: cost 6 inf + 0 9.677 * * [simplify]: Extracting #3: cost 118 inf + 1 9.678 * * [simplify]: Extracting #4: cost 235 inf + 336 9.679 * * [simplify]: Extracting #5: cost 193 inf + 4402 9.683 * * [simplify]: Extracting #6: cost 119 inf + 19348 9.705 * * [simplify]: Extracting #7: cost 7 inf + 46040 9.733 * * [simplify]: Extracting #8: cost 0 inf + 47488 9.762 * [simplify]: Simplified to (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 9.762 * [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))) 9.763 * * * * [progress]: [ 40 / 143 ] simplifiying candidate # 9.763 * * * * [progress]: [ 41 / 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)))> 9.763 * * * * [progress]: [ 42 / 143 ] simplifiying candidate # 9.763 * [simplify]: Simplifying (/ U (* 2 (* (cos (/ K 2)) J))) 9.763 * * [simplify]: iters left: 6 (9 enodes) 9.768 * * [simplify]: iters left: 5 (33 enodes) 9.778 * * [simplify]: iters left: 4 (51 enodes) 9.793 * * [simplify]: iters left: 3 (68 enodes) 9.813 * * [simplify]: iters left: 2 (73 enodes) 9.830 * * [simplify]: Extracting #0: cost 1 inf + 0 9.830 * * [simplify]: Extracting #1: cost 12 inf + 0 9.830 * * [simplify]: Extracting #2: cost 21 inf + 3 9.831 * * [simplify]: Extracting #3: cost 21 inf + 337 9.831 * * [simplify]: Extracting #4: cost 12 inf + 1158 9.832 * * [simplify]: Extracting #5: cost 0 inf + 3114 9.833 * [simplify]: Simplified to (/ (/ U (* J 2)) (cos (/ K 2))) 9.833 * [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))) 9.834 * [simplify]: Simplifying (+ 1 1) 9.834 * * [simplify]: iters left: 2 (2 enodes) 9.836 * * [simplify]: iters left: 1 (9 enodes) 9.839 * * [simplify]: Extracting #0: cost 1 inf + 0 9.839 * * [simplify]: Extracting #1: cost 0 inf + 1 9.839 * [simplify]: Simplified to 2 9.839 * [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))) 9.839 * * * * [progress]: [ 43 / 143 ] simplifiying candidate # 9.840 * [simplify]: Simplifying (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 9.840 * * [simplify]: iters left: 6 (10 enodes) 9.845 * * [simplify]: iters left: 5 (40 enodes) 9.859 * * [simplify]: iters left: 4 (91 enodes) 9.906 * * [simplify]: iters left: 3 (345 enodes) 10.199 * * [simplify]: Extracting #0: cost 1 inf + 0 10.199 * * [simplify]: Extracting #1: cost 119 inf + 0 10.201 * * [simplify]: Extracting #2: cost 236 inf + 45 10.204 * * [simplify]: Extracting #3: cost 207 inf + 2474 10.215 * * [simplify]: Extracting #4: cost 104 inf + 22392 10.234 * * [simplify]: Extracting #5: cost 6 inf + 45410 10.248 * * [simplify]: Extracting #6: cost 0 inf + 46788 10.262 * * [simplify]: Extracting #7: cost 0 inf + 46787 10.276 * [simplify]: Simplified to (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) 10.276 * [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))) 10.276 * * * * [progress]: [ 44 / 143 ] simplifiying candidate # 10.277 * * * * [progress]: [ 45 / 143 ] simplifiying candidate # 10.277 * [simplify]: Simplifying (/ U (* 2 (* (cos (/ K 2)) J))) 10.277 * * [simplify]: iters left: 6 (9 enodes) 10.279 * * [simplify]: iters left: 5 (33 enodes) 10.289 * * [simplify]: iters left: 4 (51 enodes) 10.303 * * [simplify]: iters left: 3 (68 enodes) 10.316 * * [simplify]: iters left: 2 (73 enodes) 10.325 * * [simplify]: Extracting #0: cost 1 inf + 0 10.325 * * [simplify]: Extracting #1: cost 12 inf + 0 10.325 * * [simplify]: Extracting #2: cost 21 inf + 3 10.325 * * [simplify]: Extracting #3: cost 21 inf + 337 10.325 * * [simplify]: Extracting #4: cost 12 inf + 1158 10.326 * * [simplify]: Extracting #5: cost 0 inf + 3114 10.326 * [simplify]: Simplified to (/ (/ U (* J 2)) (cos (/ K 2))) 10.326 * [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))) 10.326 * * * * [progress]: [ 46 / 143 ] simplifiying candidate # 10.326 * * * * [progress]: [ 47 / 143 ] simplifiying candidate # 10.327 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J)))) (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J))))) 10.327 * * [simplify]: iters left: 6 (14 enodes) 10.330 * * [simplify]: iters left: 5 (54 enodes) 10.340 * * [simplify]: iters left: 4 (119 enodes) 10.378 * * [simplify]: iters left: 3 (457 enodes) 10.866 * * [simplify]: Extracting #0: cost 1 inf + 0 10.866 * * [simplify]: Extracting #1: cost 87 inf + 0 10.868 * * [simplify]: Extracting #2: cost 441 inf + 0 10.870 * * [simplify]: Extracting #3: cost 435 inf + 3488 10.874 * * [simplify]: Extracting #4: cost 350 inf + 25733 10.888 * * [simplify]: Extracting #5: cost 181 inf + 99937 10.950 * * [simplify]: Extracting #6: cost 13 inf + 179498 10.997 * * [simplify]: Extracting #7: cost 0 inf + 185853 11.054 * [simplify]: Simplified to (+ (- (- (log U) (log 2)) (+ (log J) (log (cos (/ K 2))))) (- (- (log U) (log 2)) (+ (log J) (log (cos (/ K 2)))))) 11.054 * [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))) 11.054 * * * * [progress]: [ 48 / 143 ] simplifiying candidate # 11.054 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J)))) (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J))))) 11.055 * * [simplify]: iters left: 6 (18 enodes) 11.059 * * [simplify]: iters left: 5 (62 enodes) 11.069 * * [simplify]: iters left: 4 (132 enodes) 11.113 * * [simplify]: iters left: 3 (478 enodes) 11.662 * * [simplify]: Extracting #0: cost 1 inf + 0 11.662 * * [simplify]: Extracting #1: cost 82 inf + 0 11.665 * * [simplify]: Extracting #2: cost 445 inf + 0 11.670 * * [simplify]: Extracting #3: cost 428 inf + 6272 11.679 * * [simplify]: Extracting #4: cost 350 inf + 27083 11.707 * * [simplify]: Extracting #5: cost 195 inf + 92277 11.753 * * [simplify]: Extracting #6: cost 8 inf + 176798 11.826 * * [simplify]: Extracting #7: cost 0 inf + 179724 11.880 * [simplify]: Simplified to (+ (- (- (log U) (log 2)) (log (* (cos (/ K 2)) J))) (- (- (log U) (log 2)) (log (* (cos (/ K 2)) J)))) 11.880 * [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))) 11.881 * * * * [progress]: [ 49 / 143 ] simplifiying candidate # 11.881 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J)))) (- (log U) (log (* 2 (* (cos (/ K 2)) J))))) 11.881 * * [simplify]: iters left: 6 (18 enodes) 11.885 * * [simplify]: iters left: 5 (75 enodes) 11.906 * * [simplify]: iters left: 4 (150 enodes) 11.948 * * [simplify]: iters left: 3 (441 enodes) 12.402 * * [simplify]: Extracting #0: cost 1 inf + 0 12.402 * * [simplify]: Extracting #1: cost 83 inf + 0 12.405 * * [simplify]: Extracting #2: cost 392 inf + 0 12.410 * * [simplify]: Extracting #3: cost 353 inf + 11476 12.417 * * [simplify]: Extracting #4: cost 305 inf + 24860 12.431 * * [simplify]: Extracting #5: cost 144 inf + 93825 12.484 * * [simplify]: Extracting #6: cost 4 inf + 152810 12.552 * * [simplify]: Extracting #7: cost 0 inf + 148235 12.591 * * [simplify]: Extracting #8: cost 0 inf + 147415 12.625 * [simplify]: Simplified to (+ (- (log U) (log (* 2 (* (cos (/ K 2)) J)))) (- (log U) (log (* 2 (* (cos (/ K 2)) J))))) 12.625 * [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))) 12.625 * * * * [progress]: [ 50 / 143 ] simplifiying candidate # 12.625 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J)))) (log (/ U (* 2 (* (cos (/ K 2)) J))))) 12.625 * * [simplify]: iters left: 6 (18 enodes) 12.632 * * [simplify]: iters left: 5 (73 enodes) 12.646 * * [simplify]: iters left: 4 (158 enodes) 12.686 * * [simplify]: iters left: 3 (401 enodes) 12.905 * * [simplify]: Extracting #0: cost 1 inf + 0 12.905 * * [simplify]: Extracting #1: cost 75 inf + 0 12.907 * * [simplify]: Extracting #2: cost 294 inf + 0 12.910 * * [simplify]: Extracting #3: cost 333 inf + 1095 12.914 * * [simplify]: Extracting #4: cost 297 inf + 8726 12.925 * * [simplify]: Extracting #5: cost 207 inf + 35649 12.950 * * [simplify]: Extracting #6: cost 32 inf + 113007 12.984 * * [simplify]: Extracting #7: cost 3 inf + 120686 13.019 * * [simplify]: Extracting #8: cost 0 inf + 119948 13.059 * * [simplify]: Extracting #9: cost 0 inf + 119908 13.106 * [simplify]: Simplified to (+ (log (/ (/ (/ U J) 2) (cos (/ K 2)))) (log (/ (/ (/ U J) 2) (cos (/ K 2))))) 13.106 * [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))) 13.106 * * * * [progress]: [ 51 / 143 ] simplifiying candidate # 13.106 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J))))) 13.107 * * [simplify]: iters left: 6 (18 enodes) 13.117 * * [simplify]: iters left: 5 (63 enodes) 13.131 * * [simplify]: iters left: 4 (128 enodes) 13.169 * * [simplify]: iters left: 3 (467 enodes) 14.033 * * [simplify]: Extracting #0: cost 1 inf + 0 14.033 * * [simplify]: Extracting #1: cost 87 inf + 0 14.037 * * [simplify]: Extracting #2: cost 459 inf + 0 14.042 * * [simplify]: Extracting #3: cost 444 inf + 6063 14.050 * * [simplify]: Extracting #4: cost 367 inf + 26781 14.078 * * [simplify]: Extracting #5: cost 208 inf + 91682 14.157 * * [simplify]: Extracting #6: cost 16 inf + 181307 14.208 * * [simplify]: Extracting #7: cost 0 inf + 189267 14.268 * [simplify]: Simplified to (+ (- (- (log U) (log (* J (cos (/ K 2))))) (log 2)) (- (- (log U) (log (* J (cos (/ K 2))))) (log 2))) 14.269 * [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))) 14.269 * * * * [progress]: [ 52 / 143 ] simplifiying candidate # 14.269 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J))))) 14.269 * * [simplify]: iters left: 6 (13 enodes) 14.276 * * [simplify]: iters left: 5 (52 enodes) 14.293 * * [simplify]: iters left: 4 (107 enodes) 14.341 * * [simplify]: iters left: 3 (365 enodes) 14.720 * * [simplify]: Extracting #0: cost 1 inf + 0 14.720 * * [simplify]: Extracting #1: cost 73 inf + 0 14.723 * * [simplify]: Extracting #2: cost 366 inf + 0 14.727 * * [simplify]: Extracting #3: cost 356 inf + 3306 14.733 * * [simplify]: Extracting #4: cost 311 inf + 14304 14.748 * * [simplify]: Extracting #5: cost 182 inf + 63744 14.790 * * [simplify]: Extracting #6: cost 3 inf + 143874 14.837 * * [simplify]: Extracting #7: cost 0 inf + 144974 14.899 * [simplify]: Simplified to (+ (- (- (log U) (log 2)) (log (* J (cos (/ K 2))))) (- (- (log U) (log 2)) (log (* J (cos (/ K 2)))))) 14.899 * [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))) 14.899 * * * * [progress]: [ 53 / 143 ] simplifiying candidate # 14.899 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J)))) (- (log U) (log (* 2 (* (cos (/ K 2)) J))))) 14.900 * * [simplify]: iters left: 6 (16 enodes) 14.908 * * [simplify]: iters left: 5 (63 enodes) 14.929 * * [simplify]: iters left: 4 (135 enodes) 14.978 * * [simplify]: iters left: 3 (409 enodes) 15.278 * * [simplify]: Extracting #0: cost 1 inf + 0 15.278 * * [simplify]: Extracting #1: cost 70 inf + 0 15.281 * * [simplify]: Extracting #2: cost 384 inf + 0 15.285 * * [simplify]: Extracting #3: cost 371 inf + 5484 15.293 * * [simplify]: Extracting #4: cost 306 inf + 22123 15.304 * * [simplify]: Extracting #5: cost 174 inf + 73482 15.339 * * [simplify]: Extracting #6: cost 9 inf + 144143 15.372 * * [simplify]: Extracting #7: cost 0 inf + 144938 15.407 * * [simplify]: Extracting #8: cost 0 inf + 144748 15.440 * [simplify]: Simplified to (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2)))))) 15.441 * [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))) 15.441 * * * * [progress]: [ 54 / 143 ] simplifiying candidate # 15.441 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J)))) (log (/ U (* 2 (* (cos (/ K 2)) J))))) 15.441 * * [simplify]: iters left: 6 (16 enodes) 15.446 * * [simplify]: iters left: 5 (67 enodes) 15.469 * * [simplify]: iters left: 4 (136 enodes) 15.499 * * [simplify]: iters left: 3 (364 enodes) 15.678 * * [simplify]: Extracting #0: cost 1 inf + 0 15.678 * * [simplify]: Extracting #1: cost 62 inf + 0 15.679 * * [simplify]: Extracting #2: cost 325 inf + 0 15.680 * * [simplify]: Extracting #3: cost 344 inf + 4236 15.683 * * [simplify]: Extracting #4: cost 302 inf + 14346 15.695 * * [simplify]: Extracting #5: cost 171 inf + 62575 15.727 * * [simplify]: Extracting #6: cost 9 inf + 127185 15.775 * * [simplify]: Extracting #7: cost 0 inf + 124566 15.822 * * [simplify]: Extracting #8: cost 0 inf + 124346 15.871 * [simplify]: Simplified to (+ (log (/ (/ U 2) (* J (cos (/ K 2))))) (log (/ (/ U 2) (* J (cos (/ K 2)))))) 15.871 * [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))) 15.871 * * * * [progress]: [ 55 / 143 ] simplifiying candidate # 15.872 * [simplify]: Simplifying (+ (- (log U) (log (* 2 (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J))))) 15.872 * * [simplify]: iters left: 6 (18 enodes) 15.881 * * [simplify]: iters left: 5 (75 enodes) 15.905 * * [simplify]: iters left: 4 (153 enodes) 15.967 * * [simplify]: iters left: 3 (475 enodes) 16.414 * * [simplify]: Extracting #0: cost 1 inf + 0 16.414 * * [simplify]: Extracting #1: cost 84 inf + 0 16.417 * * [simplify]: Extracting #2: cost 434 inf + 0 16.422 * * [simplify]: Extracting #3: cost 400 inf + 11081 16.427 * * [simplify]: Extracting #4: cost 349 inf + 23822 16.439 * * [simplify]: Extracting #5: cost 211 inf + 78498 16.486 * * [simplify]: Extracting #6: cost 13 inf + 162504 16.544 * * [simplify]: Extracting #7: cost 0 inf + 165480 16.615 * * [simplify]: Extracting #8: cost 0 inf + 165120 16.686 * [simplify]: Simplified to (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2)))))) 16.686 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2))))))) 1)) -2) (* (cos (/ K 2)) J))) 16.687 * * * * [progress]: [ 56 / 143 ] simplifiying candidate # 16.687 * [simplify]: Simplifying (+ (- (log U) (log (* 2 (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J))))) 16.687 * * [simplify]: iters left: 6 (16 enodes) 16.695 * * [simplify]: iters left: 5 (63 enodes) 16.708 * * [simplify]: iters left: 4 (131 enodes) 16.742 * * [simplify]: iters left: 3 (400 enodes) 17.080 * * [simplify]: Extracting #0: cost 1 inf + 0 17.080 * * [simplify]: Extracting #1: cost 73 inf + 0 17.083 * * [simplify]: Extracting #2: cost 360 inf + 0 17.086 * * [simplify]: Extracting #3: cost 368 inf + 1570 17.092 * * [simplify]: Extracting #4: cost 284 inf + 22316 17.110 * * [simplify]: Extracting #5: cost 181 inf + 60735 17.150 * * [simplify]: Extracting #6: cost 16 inf + 128257 17.190 * * [simplify]: Extracting #7: cost 0 inf + 132824 17.219 * * [simplify]: Extracting #8: cost 0 inf + 132754 17.262 * [simplify]: Simplified to (+ (- (log U) (log (* (* (cos (/ K 2)) J) 2))) (- (log U) (log (* (* (cos (/ K 2)) J) 2)))) 17.262 * [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))) 17.263 * * * * [progress]: [ 57 / 143 ] simplifiying candidate # 17.263 * [simplify]: Simplifying (+ (- (log U) (log (* 2 (* (cos (/ K 2)) J)))) (- (log U) (log (* 2 (* (cos (/ K 2)) J))))) 17.263 * * [simplify]: iters left: 6 (12 enodes) 17.266 * * [simplify]: iters left: 5 (49 enodes) 17.276 * * [simplify]: iters left: 4 (96 enodes) 17.301 * * [simplify]: iters left: 3 (241 enodes) 17.439 * * [simplify]: Extracting #0: cost 1 inf + 0 17.440 * * [simplify]: Extracting #1: cost 49 inf + 0 17.440 * * [simplify]: Extracting #2: cost 251 inf + 0 17.441 * * [simplify]: Extracting #3: cost 249 inf + 1539 17.443 * * [simplify]: Extracting #4: cost 212 inf + 9334 17.445 * * [simplify]: Extracting #5: cost 194 inf + 13677 17.450 * * [simplify]: Extracting #6: cost 164 inf + 24866 17.470 * * [simplify]: Extracting #7: cost 45 inf + 75345 17.486 * * [simplify]: Extracting #8: cost 2 inf + 93245 17.513 * * [simplify]: Extracting #9: cost 0 inf + 93841 17.548 * [simplify]: Simplified to (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2)))))) 17.548 * [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))) 17.549 * * * * [progress]: [ 58 / 143 ] simplifiying candidate # 17.549 * [simplify]: Simplifying (+ (- (log U) (log (* 2 (* (cos (/ K 2)) J)))) (log (/ U (* 2 (* (cos (/ K 2)) J))))) 17.549 * * [simplify]: iters left: 6 (14 enodes) 17.556 * * [simplify]: iters left: 5 (54 enodes) 17.573 * * [simplify]: iters left: 4 (109 enodes) 17.593 * * [simplify]: iters left: 3 (265 enodes) 17.701 * * [simplify]: Extracting #0: cost 1 inf + 0 17.701 * * [simplify]: Extracting #1: cost 49 inf + 0 17.702 * * [simplify]: Extracting #2: cost 242 inf + 0 17.703 * * [simplify]: Extracting #3: cost 259 inf + 523 17.706 * * [simplify]: Extracting #4: cost 212 inf + 10345 17.713 * * [simplify]: Extracting #5: cost 159 inf + 24153 17.738 * * [simplify]: Extracting #6: cost 18 inf + 79713 17.774 * * [simplify]: Extracting #7: cost 0 inf + 86997 17.807 * [simplify]: Simplified to (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J)))) 17.807 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J))) 17.807 * * * * [progress]: [ 59 / 143 ] simplifiying candidate # 17.807 * [simplify]: Simplifying (+ (log (/ U (* 2 (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J))))) 17.808 * * [simplify]: iters left: 6 (18 enodes) 17.817 * * [simplify]: iters left: 5 (73 enodes) 17.841 * * [simplify]: iters left: 4 (156 enodes) 17.891 * * [simplify]: iters left: 3 (366 enodes) 18.125 * * [simplify]: Extracting #0: cost 1 inf + 0 18.125 * * [simplify]: Extracting #1: cost 81 inf + 0 18.127 * * [simplify]: Extracting #2: cost 315 inf + 0 18.130 * * [simplify]: Extracting #3: cost 336 inf + 1721 18.135 * * [simplify]: Extracting #4: cost 282 inf + 12964 18.143 * * [simplify]: Extracting #5: cost 226 inf + 27763 18.177 * * [simplify]: Extracting #6: cost 44 inf + 102658 18.226 * * [simplify]: Extracting #7: cost 0 inf + 118994 18.258 * * [simplify]: Extracting #8: cost 0 inf + 118854 18.285 * [simplify]: Simplified to (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J)))) 18.285 * [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))) 18.286 * * * * [progress]: [ 60 / 143 ] simplifiying candidate # 18.286 * [simplify]: Simplifying (+ (log (/ U (* 2 (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J))))) 18.286 * * [simplify]: iters left: 6 (16 enodes) 18.294 * * [simplify]: iters left: 5 (67 enodes) 18.316 * * [simplify]: iters left: 4 (134 enodes) 18.370 * * [simplify]: iters left: 3 (341 enodes) 18.553 * * [simplify]: Extracting #0: cost 1 inf + 0 18.553 * * [simplify]: Extracting #1: cost 69 inf + 0 18.556 * * [simplify]: Extracting #2: cost 344 inf + 0 18.559 * * [simplify]: Extracting #3: cost 365 inf + 1843 18.564 * * [simplify]: Extracting #4: cost 320 inf + 11850 18.581 * * [simplify]: Extracting #5: cost 166 inf + 66434 18.605 * * [simplify]: Extracting #6: cost 7 inf + 128209 18.643 * * [simplify]: Extracting #7: cost 0 inf + 129716 18.668 * * [simplify]: Extracting #8: cost 0 inf + 129576 18.694 * [simplify]: Simplified to (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J)))) 18.694 * [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))) 18.694 * * * * [progress]: [ 61 / 143 ] simplifiying candidate # 18.694 * [simplify]: Simplifying (+ (log (/ U (* 2 (* (cos (/ K 2)) J)))) (- (log U) (log (* 2 (* (cos (/ K 2)) J))))) 18.694 * * [simplify]: iters left: 6 (14 enodes) 18.698 * * [simplify]: iters left: 5 (54 enodes) 18.707 * * [simplify]: iters left: 4 (106 enodes) 18.743 * * [simplify]: iters left: 3 (231 enodes) 18.841 * * [simplify]: Extracting #0: cost 1 inf + 0 18.841 * * [simplify]: Extracting #1: cost 64 inf + 0 18.841 * * [simplify]: Extracting #2: cost 246 inf + 0 18.842 * * [simplify]: Extracting #3: cost 259 inf + 560 18.844 * * [simplify]: Extracting #4: cost 218 inf + 8763 18.847 * * [simplify]: Extracting #5: cost 148 inf + 29077 18.866 * * [simplify]: Extracting #6: cost 27 inf + 76331 18.895 * * [simplify]: Extracting #7: cost 0 inf + 87431 18.918 * * [simplify]: Extracting #8: cost 0 inf + 87391 18.936 * [simplify]: Simplified to (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J)))) 18.936 * [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))) 18.936 * * * * [progress]: [ 62 / 143 ] simplifiying candidate # 18.936 * [simplify]: Simplifying (+ (log (/ U (* 2 (* (cos (/ K 2)) J)))) (log (/ U (* 2 (* (cos (/ K 2)) J))))) 18.936 * * [simplify]: iters left: 6 (11 enodes) 18.939 * * [simplify]: iters left: 5 (42 enodes) 18.946 * * [simplify]: iters left: 4 (79 enodes) 18.960 * * [simplify]: iters left: 3 (176 enodes) 19.012 * * [simplify]: iters left: 2 (491 enodes) 19.435 * * [simplify]: Extracting #0: cost 1 inf + 0 19.435 * * [simplify]: Extracting #1: cost 79 inf + 0 19.437 * * [simplify]: Extracting #2: cost 424 inf + 0 19.439 * * [simplify]: Extracting #3: cost 434 inf + 1374 19.442 * * [simplify]: Extracting #4: cost 365 inf + 15165 19.454 * * [simplify]: Extracting #5: cost 222 inf + 60738 19.489 * * [simplify]: Extracting #6: cost 20 inf + 142135 19.554 * * [simplify]: Extracting #7: cost 0 inf + 147485 19.593 * * [simplify]: Extracting #8: cost 0 inf + 147405 19.633 * [simplify]: Simplified to (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J)))) 19.633 * [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))) 19.633 * * * * [progress]: [ 63 / 143 ] simplifiying candidate # 19.633 * * * * [progress]: [ 64 / 143 ] simplifiying candidate # 19.633 * * * * [progress]: [ 65 / 143 ] simplifiying candidate # 19.633 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J))))) 19.634 * * [simplify]: iters left: 6 (18 enodes) 19.643 * * [simplify]: iters left: 5 (81 enodes) 19.661 * * [simplify]: iters left: 4 (297 enodes) 20.209 * * [simplify]: Extracting #0: cost 1 inf + 0 20.210 * * [simplify]: Extracting #1: cost 317 inf + 0 20.218 * * [simplify]: Extracting #2: cost 1360 inf + 1186 20.238 * * [simplify]: Extracting #3: cost 1159 inf + 28787 20.249 * * [simplify]: Extracting #4: cost 1067 inf + 46078 20.261 * * [simplify]: Extracting #5: cost 1058 inf + 48222 20.321 * * [simplify]: Extracting #6: cost 700 inf + 217292 20.471 * * [simplify]: Extracting #7: cost 50 inf + 478678 20.619 * * [simplify]: Extracting #8: cost 0 inf + 450895 20.773 * * [simplify]: Extracting #9: cost 0 inf + 450215 20.914 * [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))))))) 20.914 * [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))) 20.914 * * * * [progress]: [ 66 / 143 ] simplifiying candidate # 20.914 * [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))))) 20.915 * * [simplify]: iters left: 6 (23 enodes) 20.930 * * [simplify]: iters left: 5 (116 enodes) 20.970 * * [simplify]: iters left: 4 (394 enodes) 22.038 * * [simplify]: Extracting #0: cost 1 inf + 0 22.039 * * [simplify]: Extracting #1: cost 305 inf + 0 22.043 * * [simplify]: Extracting #2: cost 1687 inf + 1266 22.053 * * [simplify]: Extracting #3: cost 1524 inf + 28963 22.066 * * [simplify]: Extracting #4: cost 1425 inf + 42935 22.107 * * [simplify]: Extracting #5: cost 1007 inf + 187192 22.300 * * [simplify]: Extracting #6: cost 91 inf + 536933 22.471 * * [simplify]: Extracting #7: cost 0 inf + 555816 22.697 * * [simplify]: Extracting #8: cost 0 inf + 555016 22.918 * [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)))))) 22.918 * [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))) 22.918 * * * * [progress]: [ 67 / 143 ] simplifiying candidate # 22.918 * [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))))) 22.919 * * [simplify]: iters left: 6 (23 enodes) 22.927 * * [simplify]: iters left: 5 (117 enodes) 22.959 * * [simplify]: Extracting #0: cost 1 inf + 0 22.959 * * [simplify]: Extracting #1: cost 57 inf + 0 22.959 * * [simplify]: Extracting #2: cost 198 inf + 1 22.960 * * [simplify]: Extracting #3: cost 196 inf + 1963 22.961 * * [simplify]: Extracting #4: cost 175 inf + 4048 22.964 * * [simplify]: Extracting #5: cost 138 inf + 14158 22.972 * * [simplify]: Extracting #6: cost 38 inf + 45666 22.996 * * [simplify]: Extracting #7: cost 0 inf + 59703 23.020 * * [simplify]: Extracting #8: cost 0 inf + 58861 23.038 * [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))))) 23.038 * [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))) 23.038 * * * * [progress]: [ 68 / 143 ] simplifiying candidate # 23.039 * [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))))) 23.039 * * [simplify]: iters left: 6 (23 enodes) 23.046 * * [simplify]: iters left: 5 (110 enodes) 23.076 * * [simplify]: iters left: 4 (408 enodes) 23.714 * * [simplify]: Extracting #0: cost 1 inf + 0 23.715 * * [simplify]: Extracting #1: cost 349 inf + 0 23.723 * * [simplify]: Extracting #2: cost 1362 inf + 253 23.737 * * [simplify]: Extracting #3: cost 1372 inf + 8215 23.752 * * [simplify]: Extracting #4: cost 1293 inf + 19441 23.801 * * [simplify]: Extracting #5: cost 942 inf + 149702 23.973 * * [simplify]: Extracting #6: cost 118 inf + 513336 24.164 * * [simplify]: Extracting #7: cost 0 inf + 530464 24.370 * * [simplify]: Extracting #8: cost 0 inf + 526424 24.544 * * [simplify]: Extracting #9: cost 0 inf + 526264 24.731 * [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)))))) 24.731 * [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))) 24.732 * * * * [progress]: [ 69 / 143 ] simplifiying candidate # 24.732 * [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))))) 24.733 * * [simplify]: iters left: 6 (23 enodes) 24.747 * * [simplify]: iters left: 5 (116 enodes) 24.793 * * [simplify]: iters left: 4 (400 enodes) 26.049 * * [simplify]: Extracting #0: cost 1 inf + 0 26.050 * * [simplify]: Extracting #1: cost 338 inf + 0 26.059 * * [simplify]: Extracting #2: cost 1775 inf + 1305 26.087 * * [simplify]: Extracting #3: cost 1631 inf + 26639 26.103 * * [simplify]: Extracting #4: cost 1492 inf + 45349 26.155 * * [simplify]: Extracting #5: cost 991 inf + 264110 26.393 * * [simplify]: Extracting #6: cost 19 inf + 641565 26.681 * * [simplify]: Extracting #7: cost 0 inf + 581792 26.888 * * [simplify]: Extracting #8: cost 0 inf + 581352 27.117 * [simplify]: Simplified to (* (/ (* U U) (/ (* (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) 8) U)) (/ (* U U) (/ (* (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) 8) U))) 27.117 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (/ (* U U) (/ (* (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) 8) U)) (/ (* U U) (/ (* (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) 8) U)))) 1)) -2) (* (cos (/ K 2)) J))) 27.118 * * * * [progress]: [ 70 / 143 ] simplifiying candidate # 27.118 * [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))))) 27.118 * * [simplify]: iters left: 6 (16 enodes) 27.124 * * [simplify]: iters left: 5 (79 enodes) 27.146 * * [simplify]: iters left: 4 (300 enodes) 27.752 * * [simplify]: Extracting #0: cost 1 inf + 0 27.753 * * [simplify]: Extracting #1: cost 276 inf + 0 27.760 * * [simplify]: Extracting #2: cost 1222 inf + 1113 27.782 * * [simplify]: Extracting #3: cost 1095 inf + 16811 27.797 * * [simplify]: Extracting #4: cost 1061 inf + 20800 27.853 * * [simplify]: Extracting #5: cost 657 inf + 183765 27.977 * * [simplify]: Extracting #6: cost 22 inf + 410882 28.122 * * [simplify]: Extracting #7: cost 0 inf + 405405 28.275 * * [simplify]: Extracting #8: cost 0 inf + 405114 28.392 * [simplify]: Simplified to (* (/ (* U (* U U)) (* (* J (cos (/ K 2))) (* (* 8 (* J (cos (/ K 2)))) (* J (cos (/ K 2)))))) (/ (* U (* U U)) (* (* J (cos (/ K 2))) (* (* 8 (* J (cos (/ K 2)))) (* J (cos (/ K 2))))))) 28.393 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (/ (* U (* U U)) (* (* J (cos (/ K 2))) (* (* 8 (* J (cos (/ K 2)))) (* J (cos (/ K 2)))))) (/ (* U (* U U)) (* (* J (cos (/ K 2))) (* (* 8 (* J (cos (/ K 2)))) (* J (cos (/ K 2)))))))) 1)) -2) (* (cos (/ K 2)) J))) 28.393 * * * * [progress]: [ 71 / 143 ] simplifiying candidate # 28.393 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))) 28.393 * * [simplify]: iters left: 6 (20 enodes) 28.400 * * [simplify]: iters left: 5 (110 enodes) 28.451 * * [simplify]: iters left: 4 (486 enodes) 29.560 * * [simplify]: Extracting #0: cost 1 inf + 0 29.561 * * [simplify]: Extracting #1: cost 357 inf + 0 29.566 * * [simplify]: Extracting #2: cost 1671 inf + 4 29.574 * * [simplify]: Extracting #3: cost 1668 inf + 6826 29.593 * * [simplify]: Extracting #4: cost 1547 inf + 21334 29.650 * * [simplify]: Extracting #5: cost 1187 inf + 145252 29.845 * * [simplify]: Extracting #6: cost 120 inf + 563013 30.069 * * [simplify]: Extracting #7: cost 0 inf + 585634 30.297 * * [simplify]: Extracting #8: cost 0 inf + 584467 30.531 * [simplify]: Simplified to (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))) 30.531 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) 1)) -2) (* (cos (/ K 2)) J))) 30.531 * * * * [progress]: [ 72 / 143 ] simplifiying candidate # 30.531 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J))))) 30.532 * * [simplify]: iters left: 6 (20 enodes) 30.539 * * [simplify]: iters left: 5 (104 enodes) 30.580 * * [simplify]: iters left: 4 (410 enodes) 31.244 * * [simplify]: Extracting #0: cost 1 inf + 0 31.245 * * [simplify]: Extracting #1: cost 320 inf + 0 31.260 * * [simplify]: Extracting #2: cost 1273 inf + 422 31.271 * * [simplify]: Extracting #3: cost 1300 inf + 5654 31.285 * * [simplify]: Extracting #4: cost 1233 inf + 13684 31.334 * * [simplify]: Extracting #5: cost 817 inf + 180631 31.491 * * [simplify]: Extracting #6: cost 86 inf + 457006 31.621 * * [simplify]: Extracting #7: cost 0 inf + 479132 31.766 * * [simplify]: Extracting #8: cost 0 inf + 478812 31.966 * [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))))) 31.966 * [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))) 31.966 * * * * [progress]: [ 73 / 143 ] simplifiying candidate # 31.967 * [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))))) 31.967 * * [simplify]: iters left: 6 (23 enodes) 31.977 * * [simplify]: iters left: 5 (117 enodes) 32.016 * * [simplify]: Extracting #0: cost 1 inf + 0 32.017 * * [simplify]: Extracting #1: cost 57 inf + 0 32.017 * * [simplify]: Extracting #2: cost 198 inf + 1 32.018 * * [simplify]: Extracting #3: cost 195 inf + 2086 32.019 * * [simplify]: Extracting #4: cost 174 inf + 4290 32.022 * * [simplify]: Extracting #5: cost 116 inf + 19820 32.035 * * [simplify]: Extracting #6: cost 12 inf + 57316 32.056 * * [simplify]: Extracting #7: cost 0 inf + 58322 32.080 * [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))) 32.080 * [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))) 32.080 * * * * [progress]: [ 74 / 143 ] simplifiying candidate # 32.081 * [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))))) 32.081 * * [simplify]: iters left: 6 (20 enodes) 32.095 * * [simplify]: iters left: 5 (110 enodes) 32.147 * * [simplify]: iters left: 4 (486 enodes) 33.179 * * [simplify]: Extracting #0: cost 1 inf + 0 33.181 * * [simplify]: Extracting #1: cost 354 inf + 0 33.191 * * [simplify]: Extracting #2: cost 1732 inf + 947 33.209 * * [simplify]: Extracting #3: cost 1677 inf + 14777 33.232 * * [simplify]: Extracting #4: cost 1558 inf + 34201 33.387 * * [simplify]: Extracting #5: cost 538 inf + 431020 33.606 * * [simplify]: Extracting #6: cost 7 inf + 614791 33.871 * * [simplify]: Extracting #7: cost 0 inf + 600444 34.143 * * [simplify]: Extracting #8: cost 0 inf + 599228 34.377 * * [simplify]: Extracting #9: cost 0 inf + 599108 34.608 * [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)))) 34.608 * [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))) 34.608 * * * * [progress]: [ 75 / 143 ] simplifiying candidate # 34.608 * [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))))) 34.609 * * [simplify]: iters left: 6 (14 enodes) 34.617 * * [simplify]: iters left: 5 (69 enodes) 34.636 * * [simplify]: iters left: 4 (284 enodes) 35.123 * * [simplify]: Extracting #0: cost 1 inf + 0 35.124 * * [simplify]: Extracting #1: cost 264 inf + 0 35.130 * * [simplify]: Extracting #2: cost 1048 inf + 621 35.140 * * [simplify]: Extracting #3: cost 1004 inf + 7706 35.151 * * [simplify]: Extracting #4: cost 992 inf + 8857 35.194 * * [simplify]: Extracting #5: cost 693 inf + 102376 35.317 * * [simplify]: Extracting #6: cost 68 inf + 348361 35.511 * * [simplify]: Extracting #7: cost 0 inf + 362304 35.654 * * [simplify]: Extracting #8: cost 0 inf + 360357 35.813 * [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))))))) 35.813 * [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))) 35.813 * * * * [progress]: [ 76 / 143 ] simplifiying candidate # 35.813 * [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))))) 35.814 * * [simplify]: iters left: 6 (17 enodes) 35.824 * * [simplify]: iters left: 5 (87 enodes) 35.849 * * [simplify]: iters left: 4 (347 enodes) 36.892 * * [simplify]: Extracting #0: cost 1 inf + 0 36.892 * * [simplify]: Extracting #1: cost 232 inf + 0 36.896 * * [simplify]: Extracting #2: cost 1150 inf + 375 36.907 * * [simplify]: Extracting #3: cost 1098 inf + 7458 36.913 * * [simplify]: Extracting #4: cost 1069 inf + 11014 36.943 * * [simplify]: Extracting #5: cost 711 inf + 123503 37.079 * * [simplify]: Extracting #6: cost 36 inf + 371223 37.224 * * [simplify]: Extracting #7: cost 0 inf + 378721 37.362 * * [simplify]: Extracting #8: cost 0 inf + 378639 37.531 * [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))))) 37.531 * [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))) 37.532 * * * * [progress]: [ 77 / 143 ] simplifiying candidate # 37.532 * [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))))) 37.533 * * [simplify]: iters left: 6 (23 enodes) 37.548 * * [simplify]: iters left: 5 (110 enodes) 37.580 * * [simplify]: iters left: 4 (410 enodes) 38.214 * * [simplify]: Extracting #0: cost 1 inf + 0 38.215 * * [simplify]: Extracting #1: cost 359 inf + 0 38.222 * * [simplify]: Extracting #2: cost 1287 inf + 419 38.235 * * [simplify]: Extracting #3: cost 1261 inf + 9929 38.251 * * [simplify]: Extracting #4: cost 1180 inf + 21019 38.314 * * [simplify]: Extracting #5: cost 735 inf + 199153 38.465 * * [simplify]: Extracting #6: cost 8 inf + 499942 38.624 * * [simplify]: Extracting #7: cost 0 inf + 474987 38.795 * * [simplify]: Extracting #8: cost 0 inf + 473616 38.994 * [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))))) 38.994 * [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))) 38.994 * * * * [progress]: [ 78 / 143 ] simplifiying candidate # 38.995 * [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))))) 38.995 * * [simplify]: iters left: 6 (20 enodes) 39.008 * * [simplify]: iters left: 5 (104 enodes) 39.063 * * [simplify]: iters left: 4 (410 enodes) 39.753 * * [simplify]: Extracting #0: cost 1 inf + 0 39.753 * * [simplify]: Extracting #1: cost 333 inf + 0 39.757 * * [simplify]: Extracting #2: cost 1241 inf + 215 39.763 * * [simplify]: Extracting #3: cost 1232 inf + 5451 39.775 * * [simplify]: Extracting #4: cost 1158 inf + 14257 39.807 * * [simplify]: Extracting #5: cost 643 inf + 213569 39.956 * * [simplify]: Extracting #6: cost 28 inf + 452599 40.111 * * [simplify]: Extracting #7: cost 0 inf + 451462 40.298 * * [simplify]: Extracting #8: cost 0 inf + 451384 40.450 * [simplify]: Simplified to (* (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ U 4)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ U (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))))) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) 40.450 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ U 4)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ U (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))))) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) 40.450 * * * * [progress]: [ 79 / 143 ] simplifiying candidate # 40.450 * [simplify]: Simplifying (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))) 40.451 * * [simplify]: iters left: 6 (17 enodes) 40.456 * * [simplify]: iters left: 5 (87 enodes) 40.486 * * [simplify]: iters left: 4 (343 enodes) 41.054 * * [simplify]: Extracting #0: cost 1 inf + 0 41.055 * * [simplify]: Extracting #1: cost 233 inf + 0 41.064 * * [simplify]: Extracting #2: cost 1034 inf + 459 41.069 * * [simplify]: Extracting #3: cost 981 inf + 8158 41.075 * * [simplify]: Extracting #4: cost 963 inf + 10234 41.109 * * [simplify]: Extracting #5: cost 665 inf + 100602 41.215 * * [simplify]: Extracting #6: cost 35 inf + 335827 41.387 * * [simplify]: Extracting #7: cost 0 inf + 343092 41.486 * * [simplify]: Extracting #8: cost 0 inf + 342649 41.632 * [simplify]: Simplified to (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 41.632 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J))) 41.632 * * * * [progress]: [ 80 / 143 ] simplifiying candidate # 41.632 * [simplify]: Simplifying (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J))))) 41.633 * * [simplify]: iters left: 6 (12 enodes) 41.639 * * [simplify]: iters left: 5 (55 enodes) 41.664 * * [simplify]: iters left: 4 (179 enodes) 41.867 * * [simplify]: Extracting #0: cost 1 inf + 0 41.867 * * [simplify]: Extracting #1: cost 111 inf + 0 41.870 * * [simplify]: Extracting #2: cost 476 inf + 4 41.874 * * [simplify]: Extracting #3: cost 509 inf + 1174 41.890 * * [simplify]: Extracting #4: cost 279 inf + 68658 41.929 * * [simplify]: Extracting #5: cost 18 inf + 157912 41.983 * * [simplify]: Extracting #6: cost 0 inf + 164075 42.046 * * [simplify]: Extracting #7: cost 0 inf + 164036 42.125 * [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)))) 42.126 * [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))) 42.126 * * * * [progress]: [ 81 / 143 ] simplifiying candidate # 42.126 * * * * [progress]: [ 82 / 143 ] simplifiying candidate # 42.126 * * * * [progress]: [ 83 / 143 ] simplifiying candidate # 42.126 * * * * [progress]: [ 84 / 143 ] simplifiying candidate # 42.127 * [simplify]: Simplifying (* U U) 42.127 * * [simplify]: iters left: 2 (2 enodes) 42.128 * * [simplify]: iters left: 1 (6 enodes) 42.129 * * [simplify]: Extracting #0: cost 1 inf + 0 42.129 * * [simplify]: Extracting #1: cost 3 inf + 0 42.129 * * [simplify]: Extracting #2: cost 2 inf + 1 42.129 * * [simplify]: Extracting #3: cost 0 inf + 83 42.129 * [simplify]: Simplified to (* U U) 42.129 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (/ (* U U) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) 42.129 * [simplify]: Simplifying (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) 42.129 * * [simplify]: iters left: 6 (8 enodes) 42.133 * * [simplify]: iters left: 5 (36 enodes) 42.140 * * [simplify]: iters left: 4 (87 enodes) 42.159 * * [simplify]: iters left: 3 (207 enodes) 42.269 * * [simplify]: iters left: 2 (331 enodes) 42.369 * * [simplify]: iters left: 1 (343 enodes) 42.443 * * [simplify]: Extracting #0: cost 1 inf + 0 42.443 * * [simplify]: Extracting #1: cost 27 inf + 0 42.444 * * [simplify]: Extracting #2: cost 45 inf + 126 42.444 * * [simplify]: Extracting #3: cost 41 inf + 497 42.445 * * [simplify]: Extracting #4: cost 38 inf + 582 42.447 * * [simplify]: Extracting #5: cost 14 inf + 4770 42.452 * * [simplify]: Extracting #6: cost 0 inf + 7288 42.456 * * [simplify]: Extracting #7: cost 0 inf + 7248 42.461 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) 2) J) (* (* (cos (/ K 2)) 2) J)) 42.461 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (/ (* U U) (* (* (* (cos (/ K 2)) 2) J) (* (* (cos (/ K 2)) 2) J))) 1)) -2) (* (cos (/ K 2)) J))) 42.461 * * * * [progress]: [ 85 / 143 ] simplifiying candidate # 42.461 * * * * [progress]: [ 86 / 143 ] simplifiying candidate # 42.462 * [simplify]: Simplifying (* (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J))))) (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))))) 42.462 * * [simplify]: iters left: 6 (12 enodes) 42.468 * * [simplify]: iters left: 5 (46 enodes) 42.482 * * [simplify]: iters left: 4 (68 enodes) 42.503 * * [simplify]: iters left: 3 (95 enodes) 42.530 * * [simplify]: iters left: 2 (144 enodes) 42.558 * * [simplify]: iters left: 1 (288 enodes) 42.627 * * [simplify]: Extracting #0: cost 1 inf + 0 42.627 * * [simplify]: Extracting #1: cost 71 inf + 0 42.628 * * [simplify]: Extracting #2: cost 140 inf + 46 42.629 * * [simplify]: Extracting #3: cost 128 inf + 636 42.631 * * [simplify]: Extracting #4: cost 111 inf + 2561 42.633 * * [simplify]: Extracting #5: cost 99 inf + 4759 42.643 * * [simplify]: Extracting #6: cost 26 inf + 35874 42.661 * * [simplify]: Extracting #7: cost 0 inf + 49849 42.679 * [simplify]: Simplified to (* (cbrt (/ (/ (/ U J) (cos (/ K 2))) 2)) (/ (/ (/ U J) (cos (/ K 2))) 2)) 42.679 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (* (cbrt (/ (/ (/ U J) (cos (/ K 2))) 2)) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J))) 42.680 * [simplify]: Simplifying (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J))))) 42.680 * * [simplify]: iters left: 6 (11 enodes) 42.685 * * [simplify]: iters left: 5 (39 enodes) 42.700 * * [simplify]: iters left: 4 (57 enodes) 42.717 * * [simplify]: iters left: 3 (74 enodes) 42.736 * * [simplify]: iters left: 2 (79 enodes) 42.755 * * [simplify]: Extracting #0: cost 1 inf + 0 42.755 * * [simplify]: Extracting #1: cost 3 inf + 0 42.755 * * [simplify]: Extracting #2: cost 5 inf + 0 42.755 * * [simplify]: Extracting #3: cost 16 inf + 0 42.755 * * [simplify]: Extracting #4: cost 25 inf + 3 42.755 * * [simplify]: Extracting #5: cost 28 inf + 129 42.756 * * [simplify]: Extracting #6: cost 13 inf + 1889 42.758 * * [simplify]: Extracting #7: cost 3 inf + 3901 42.759 * * [simplify]: Extracting #8: cost 0 inf + 4410 42.761 * [simplify]: Simplified to (* (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))) (cbrt (/ (/ U (* J 2)) (cos (/ K 2))))) 42.761 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (* (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J))))) (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))) (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))))) 1)) -2) (* (cos (/ K 2)) J))) 42.761 * * * * [progress]: [ 87 / 143 ] simplifiying candidate # 42.762 * [simplify]: Simplifying (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) 42.762 * * [simplify]: iters left: 6 (11 enodes) 42.767 * * [simplify]: iters left: 5 (37 enodes) 42.778 * * [simplify]: iters left: 4 (56 enodes) 42.794 * * [simplify]: iters left: 3 (73 enodes) 42.811 * * [simplify]: iters left: 2 (78 enodes) 42.829 * * [simplify]: Extracting #0: cost 1 inf + 0 42.829 * * [simplify]: Extracting #1: cost 13 inf + 0 42.829 * * [simplify]: Extracting #2: cost 23 inf + 3 42.829 * * [simplify]: Extracting #3: cost 26 inf + 129 42.829 * * [simplify]: Extracting #4: cost 16 inf + 851 42.830 * * [simplify]: Extracting #5: cost 3 inf + 3053 42.832 * * [simplify]: Extracting #6: cost 0 inf + 3642 42.833 * [simplify]: Simplified to (/ (/ U 2) (* (cos (/ K 2)) J)) 42.833 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J))) 42.834 * [simplify]: Simplifying (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) 42.834 * * [simplify]: iters left: 6 (11 enodes) 42.841 * * [simplify]: iters left: 5 (37 enodes) 42.853 * * [simplify]: iters left: 4 (56 enodes) 42.869 * * [simplify]: iters left: 3 (73 enodes) 42.887 * * [simplify]: iters left: 2 (78 enodes) 42.899 * * [simplify]: Extracting #0: cost 1 inf + 0 42.899 * * [simplify]: Extracting #1: cost 13 inf + 0 42.899 * * [simplify]: Extracting #2: cost 23 inf + 3 42.899 * * [simplify]: Extracting #3: cost 26 inf + 129 42.899 * * [simplify]: Extracting #4: cost 16 inf + 851 42.900 * * [simplify]: Extracting #5: cost 3 inf + 3053 42.900 * * [simplify]: Extracting #6: cost 0 inf + 3642 42.901 * [simplify]: Simplified to (/ (/ U 2) (* (cos (/ K 2)) J)) 42.901 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) (/ (/ U 2) (* (cos (/ K 2)) J))) 1)) -2) (* (cos (/ K 2)) J))) 42.901 * * * * [progress]: [ 88 / 143 ] simplifiying candidate # 42.902 * [simplify]: Simplifying (* (/ (* (cbrt U) (cbrt U)) 2) (/ (* (cbrt U) (cbrt U)) 2)) 42.902 * * [simplify]: iters left: 6 (6 enodes) 42.903 * * [simplify]: iters left: 5 (24 enodes) 42.908 * * [simplify]: iters left: 4 (46 enodes) 42.919 * * [simplify]: iters left: 3 (94 enodes) 42.945 * * [simplify]: iters left: 2 (156 enodes) 42.980 * * [simplify]: iters left: 1 (177 enodes) 43.007 * * [simplify]: Extracting #0: cost 1 inf + 0 43.007 * * [simplify]: Extracting #1: cost 29 inf + 0 43.008 * * [simplify]: Extracting #2: cost 44 inf + 452 43.010 * * [simplify]: Extracting #3: cost 11 inf + 5196 43.013 * * [simplify]: Extracting #4: cost 0 inf + 6946 43.015 * [simplify]: Simplified to (/ (cbrt U) (/ 4 U)) 43.015 * [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))) 43.016 * [simplify]: Simplifying (* (/ (cbrt U) (* (cos (/ K 2)) J)) (/ (cbrt U) (* (cos (/ K 2)) J))) 43.016 * * [simplify]: iters left: 6 (10 enodes) 43.021 * * [simplify]: iters left: 5 (37 enodes) 43.033 * * [simplify]: iters left: 4 (67 enodes) 43.059 * * [simplify]: iters left: 3 (153 enodes) 43.116 * * [simplify]: iters left: 2 (259 enodes) 43.218 * * [simplify]: iters left: 1 (355 enodes) 43.343 * * [simplify]: Extracting #0: cost 1 inf + 0 43.343 * * [simplify]: Extracting #1: cost 36 inf + 0 43.344 * * [simplify]: Extracting #2: cost 69 inf + 1 43.344 * * [simplify]: Extracting #3: cost 67 inf + 287 43.345 * * [simplify]: Extracting #4: cost 53 inf + 1870 43.347 * * [simplify]: Extracting #5: cost 34 inf + 5949 43.353 * * [simplify]: Extracting #6: cost 5 inf + 13388 43.356 * * [simplify]: Extracting #7: cost 0 inf + 14706 43.360 * [simplify]: Simplified to (* (/ (/ (cbrt U) J) (cos (/ K 2))) (/ (/ (cbrt U) J) (cos (/ K 2)))) 43.360 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (/ (cbrt U) (/ 4 U)) (* (/ (/ (cbrt U) J) (cos (/ K 2))) (/ (/ (cbrt U) J) (cos (/ K 2))))) 1)) -2) (* (cos (/ K 2)) J))) 43.360 * * * * [progress]: [ 89 / 143 ] simplifiying candidate # 43.360 * [simplify]: Simplifying (* (/ (sqrt U) 2) (/ (sqrt U) 2)) 43.360 * * [simplify]: iters left: 5 (5 enodes) 43.362 * * [simplify]: iters left: 4 (19 enodes) 43.367 * * [simplify]: iters left: 3 (27 enodes) 43.371 * * [simplify]: iters left: 2 (34 enodes) 43.375 * * [simplify]: iters left: 1 (43 enodes) 43.383 * * [simplify]: Extracting #0: cost 1 inf + 0 43.384 * * [simplify]: Extracting #1: cost 11 inf + 0 43.384 * * [simplify]: Extracting #2: cost 14 inf + 3 43.384 * * [simplify]: Extracting #3: cost 5 inf + 539 43.384 * * [simplify]: Extracting #4: cost 1 inf + 827 43.385 * * [simplify]: Extracting #5: cost 0 inf + 909 43.385 * [simplify]: Simplified to (/ U 4) 43.385 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U 4) (* (/ (sqrt U) (* (cos (/ K 2)) J)) (/ (sqrt U) (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) 43.386 * [simplify]: Simplifying (* (/ (sqrt U) (* (cos (/ K 2)) J)) (/ (sqrt U) (* (cos (/ K 2)) J))) 43.386 * * [simplify]: iters left: 6 (10 enodes) 43.391 * * [simplify]: iters left: 5 (37 enodes) 43.403 * * [simplify]: iters left: 4 (67 enodes) 43.427 * * [simplify]: iters left: 3 (146 enodes) 43.471 * * [simplify]: iters left: 2 (243 enodes) 43.541 * * [simplify]: iters left: 1 (344 enodes) 43.684 * * [simplify]: Extracting #0: cost 1 inf + 0 43.684 * * [simplify]: Extracting #1: cost 35 inf + 0 43.684 * * [simplify]: Extracting #2: cost 62 inf + 166 43.685 * * [simplify]: Extracting #3: cost 53 inf + 1108 43.688 * * [simplify]: Extracting #4: cost 32 inf + 4488 43.691 * * [simplify]: Extracting #5: cost 2 inf + 10914 43.694 * * [simplify]: Extracting #6: cost 0 inf + 11240 43.698 * [simplify]: Simplified to (/ U (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))) 43.698 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U 4) (/ U (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) 43.698 * * * * [progress]: [ 90 / 143 ] simplifiying candidate # 43.698 * [simplify]: Simplifying (* (/ 1 2) (/ 1 2)) 43.698 * * [simplify]: iters left: 4 (4 enodes) 43.702 * * [simplify]: iters left: 3 (20 enodes) 43.704 * * [simplify]: iters left: 2 (22 enodes) 43.708 * * [simplify]: Extracting #0: cost 1 inf + 0 43.708 * * [simplify]: Extracting #1: cost 0 inf + 1 43.708 * [simplify]: Simplified to 1/4 43.708 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* 1/4 (* (/ U (* (cos (/ K 2)) J)) (/ U (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) 43.708 * [simplify]: Simplifying (* (/ U (* (cos (/ K 2)) J)) (/ U (* (cos (/ K 2)) J))) 43.708 * * [simplify]: iters left: 6 (9 enodes) 43.710 * * [simplify]: iters left: 5 (34 enodes) 43.717 * * [simplify]: iters left: 4 (64 enodes) 43.740 * * [simplify]: iters left: 3 (148 enodes) 43.794 * * [simplify]: iters left: 2 (254 enodes) 43.869 * * [simplify]: iters left: 1 (351 enodes) 43.960 * * [simplify]: Extracting #0: cost 1 inf + 0 43.960 * * [simplify]: Extracting #1: cost 36 inf + 0 43.960 * * [simplify]: Extracting #2: cost 65 inf + 43 43.960 * * [simplify]: Extracting #3: cost 56 inf + 905 43.961 * * [simplify]: Extracting #4: cost 51 inf + 992 43.962 * * [simplify]: Extracting #5: cost 34 inf + 3846 43.965 * * [simplify]: Extracting #6: cost 1 inf + 10281 43.968 * * [simplify]: Extracting #7: cost 0 inf + 10464 43.972 * [simplify]: Simplified to (* (/ (/ U J) (cos (/ K 2))) (/ (/ U J) (cos (/ K 2)))) 43.972 * [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))) 43.972 * * * * [progress]: [ 91 / 143 ] simplifiying candidate # 43.972 * [simplify]: Simplifying (* 1 1) 43.972 * * [simplify]: iters left: 2 (2 enodes) 43.974 * * [simplify]: iters left: 1 (6 enodes) 43.976 * * [simplify]: Extracting #0: cost 1 inf + 0 43.976 * * [simplify]: Extracting #1: cost 0 inf + 1 43.976 * [simplify]: Simplified to 1 43.976 * [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))) 43.977 * [simplify]: Simplifying (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 43.977 * * [simplify]: iters left: 6 (10 enodes) 43.982 * * [simplify]: iters left: 5 (40 enodes) 43.996 * * [simplify]: iters left: 4 (91 enodes) 44.020 * * [simplify]: iters left: 3 (345 enodes) 44.269 * * [simplify]: Extracting #0: cost 1 inf + 0 44.269 * * [simplify]: Extracting #1: cost 119 inf + 0 44.270 * * [simplify]: Extracting #2: cost 236 inf + 45 44.275 * * [simplify]: Extracting #3: cost 207 inf + 2474 44.285 * * [simplify]: Extracting #4: cost 104 inf + 22392 44.311 * * [simplify]: Extracting #5: cost 6 inf + 45410 44.340 * * [simplify]: Extracting #6: cost 0 inf + 46788 44.368 * * [simplify]: Extracting #7: cost 0 inf + 46787 44.396 * [simplify]: Simplified to (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) 44.396 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) 1)) -2) (* (cos (/ K 2)) J))) 44.396 * * * * [progress]: [ 92 / 143 ] simplifiying candidate # 44.396 * [simplify]: Simplifying (* U U) 44.396 * * [simplify]: iters left: 2 (2 enodes) 44.398 * * [simplify]: iters left: 1 (6 enodes) 44.399 * * [simplify]: Extracting #0: cost 1 inf + 0 44.399 * * [simplify]: Extracting #1: cost 3 inf + 0 44.399 * * [simplify]: Extracting #2: cost 2 inf + 1 44.399 * * [simplify]: Extracting #3: cost 0 inf + 83 44.399 * [simplify]: Simplified to (* U U) 44.399 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (* U U) (* (/ 1 (* 2 (* (cos (/ K 2)) J))) (/ 1 (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J))) 44.400 * [simplify]: Simplifying (* (/ 1 (* 2 (* (cos (/ K 2)) J))) (/ 1 (* 2 (* (cos (/ K 2)) J)))) 44.400 * * [simplify]: iters left: 6 (10 enodes) 44.406 * * [simplify]: iters left: 5 (43 enodes) 44.424 * * [simplify]: iters left: 4 (82 enodes) 44.462 * * [simplify]: iters left: 3 (271 enodes) 44.648 * * [simplify]: Extracting #0: cost 1 inf + 0 44.648 * * [simplify]: Extracting #1: cost 72 inf + 0 44.650 * * [simplify]: Extracting #2: cost 165 inf + 90 44.652 * * [simplify]: Extracting #3: cost 151 inf + 1785 44.657 * * [simplify]: Extracting #4: cost 98 inf + 11781 44.674 * * [simplify]: Extracting #5: cost 3 inf + 32308 44.688 * * [simplify]: Extracting #6: cost 0 inf + 32858 44.697 * [simplify]: Simplified to (/ 1/4 (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))) 44.697 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (* U U) (/ 1/4 (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) 44.698 * * * * [progress]: [ 93 / 143 ] simplifiying candidate # 44.698 * [simplify]: Simplifying (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) 44.698 * * [simplify]: iters left: 6 (11 enodes) 44.701 * * [simplify]: iters left: 5 (37 enodes) 44.706 * * [simplify]: iters left: 4 (56 enodes) 44.714 * * [simplify]: iters left: 3 (73 enodes) 44.732 * * [simplify]: iters left: 2 (78 enodes) 44.753 * * [simplify]: Extracting #0: cost 1 inf + 0 44.754 * * [simplify]: Extracting #1: cost 13 inf + 0 44.754 * * [simplify]: Extracting #2: cost 23 inf + 3 44.754 * * [simplify]: Extracting #3: cost 26 inf + 129 44.754 * * [simplify]: Extracting #4: cost 16 inf + 851 44.755 * * [simplify]: Extracting #5: cost 3 inf + 3053 44.757 * * [simplify]: Extracting #6: cost 0 inf + 3642 44.758 * [simplify]: Simplified to (/ (/ U 2) (* (cos (/ K 2)) J)) 44.758 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J))) 44.758 * [simplify]: Simplifying (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) 44.759 * * [simplify]: iters left: 6 (11 enodes) 44.764 * * [simplify]: iters left: 5 (37 enodes) 44.775 * * [simplify]: iters left: 4 (56 enodes) 44.791 * * [simplify]: iters left: 3 (73 enodes) 44.809 * * [simplify]: iters left: 2 (78 enodes) 44.828 * * [simplify]: Extracting #0: cost 1 inf + 0 44.828 * * [simplify]: Extracting #1: cost 13 inf + 0 44.828 * * [simplify]: Extracting #2: cost 23 inf + 3 44.828 * * [simplify]: Extracting #3: cost 26 inf + 129 44.828 * * [simplify]: Extracting #4: cost 16 inf + 851 44.829 * * [simplify]: Extracting #5: cost 3 inf + 3053 44.831 * * [simplify]: Extracting #6: cost 0 inf + 3642 44.832 * [simplify]: Simplified to (/ (/ U 2) (* (cos (/ K 2)) J)) 44.832 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) (/ (/ U 2) (* (cos (/ K 2)) J))) 1)) -2) (* (cos (/ K 2)) J))) 44.832 * * * * [progress]: [ 94 / 143 ] simplifiying candidate # 44.833 * [simplify]: Simplifying (/ U (* 2 (* (cos (/ K 2)) J))) 44.833 * * [simplify]: iters left: 6 (9 enodes) 44.838 * * [simplify]: iters left: 5 (33 enodes) 44.848 * * [simplify]: iters left: 4 (51 enodes) 44.862 * * [simplify]: iters left: 3 (68 enodes) 44.879 * * [simplify]: iters left: 2 (73 enodes) 44.898 * * [simplify]: Extracting #0: cost 1 inf + 0 44.898 * * [simplify]: Extracting #1: cost 12 inf + 0 44.898 * * [simplify]: Extracting #2: cost 21 inf + 3 44.898 * * [simplify]: Extracting #3: cost 21 inf + 337 44.899 * * [simplify]: Extracting #4: cost 12 inf + 1158 44.900 * * [simplify]: Extracting #5: cost 0 inf + 3114 44.901 * [simplify]: Simplified to (/ (/ U (* J 2)) (cos (/ K 2))) 44.901 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (pow (/ (/ U (* J 2)) (cos (/ K 2))) (* 2 1)) 1)) -2) (* (cos (/ K 2)) J))) 44.902 * [simplify]: Simplifying (* 2 1) 44.902 * * [simplify]: iters left: 2 (3 enodes) 44.904 * * [simplify]: iters left: 1 (9 enodes) 44.907 * * [simplify]: Extracting #0: cost 1 inf + 0 44.907 * * [simplify]: Extracting #1: cost 0 inf + 1 44.907 * [simplify]: Simplified to 2 44.907 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (pow (/ U (* 2 (* (cos (/ K 2)) J))) 2) 1)) -2) (* (cos (/ K 2)) J))) 44.908 * * * * [progress]: [ 95 / 143 ] simplifiying candidate # 44.908 * [simplify]: Simplifying (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) 44.908 * * [simplify]: iters left: 6 (10 enodes) 44.913 * * [simplify]: iters left: 5 (36 enodes) 44.924 * * [simplify]: iters left: 4 (54 enodes) 44.940 * * [simplify]: iters left: 3 (71 enodes) 44.958 * * [simplify]: iters left: 2 (76 enodes) 44.976 * * [simplify]: Extracting #0: cost 1 inf + 0 44.976 * * [simplify]: Extracting #1: cost 3 inf + 0 44.976 * * [simplify]: Extracting #2: cost 14 inf + 0 44.976 * * [simplify]: Extracting #3: cost 23 inf + 3 44.976 * * [simplify]: Extracting #4: cost 24 inf + 295 44.977 * * [simplify]: Extracting #5: cost 9 inf + 2499 44.978 * * [simplify]: Extracting #6: cost 0 inf + 3722 44.980 * [simplify]: Simplified to (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))) 44.980 * [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))) 44.980 * * * * [progress]: [ 96 / 143 ] simplifiying candidate # 44.980 * [simplify]: Simplifying (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) 44.980 * * [simplify]: iters left: 6 (10 enodes) 44.985 * * [simplify]: iters left: 5 (36 enodes) 44.996 * * [simplify]: iters left: 4 (54 enodes) 45.011 * * [simplify]: iters left: 3 (71 enodes) 45.029 * * [simplify]: iters left: 2 (76 enodes) 45.041 * * [simplify]: Extracting #0: cost 1 inf + 0 45.041 * * [simplify]: Extracting #1: cost 3 inf + 0 45.041 * * [simplify]: Extracting #2: cost 14 inf + 0 45.041 * * [simplify]: Extracting #3: cost 23 inf + 3 45.041 * * [simplify]: Extracting #4: cost 24 inf + 295 45.042 * * [simplify]: Extracting #5: cost 9 inf + 2419 45.042 * * [simplify]: Extracting #6: cost 0 inf + 3642 45.043 * [simplify]: Simplified to (sqrt (/ (/ U (* J 2)) (cos (/ K 2)))) 45.043 * [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))) 45.043 * * * * [progress]: [ 97 / 143 ] simplifiying candidate # 45.043 * [simplify]: Simplifying (/ (cbrt U) (* (cos (/ K 2)) J)) 45.043 * * [simplify]: iters left: 6 (9 enodes) 45.046 * * [simplify]: iters left: 5 (30 enodes) 45.050 * * [simplify]: iters left: 4 (34 enodes) 45.055 * * [simplify]: iters left: 3 (36 enodes) 45.060 * * [simplify]: Extracting #0: cost 1 inf + 0 45.060 * * [simplify]: Extracting #1: cost 8 inf + 0 45.060 * * [simplify]: Extracting #2: cost 14 inf + 1 45.060 * * [simplify]: Extracting #3: cost 16 inf + 2 45.060 * * [simplify]: Extracting #4: cost 11 inf + 288 45.060 * * [simplify]: Extracting #5: cost 5 inf + 962 45.061 * * [simplify]: Extracting #6: cost 0 inf + 1958 45.061 * [simplify]: Simplified to (/ (/ (cbrt U) (cos (/ K 2))) J) 45.061 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ (* (cbrt U) (cbrt U)) 2)) (/ (/ (cbrt U) (cos (/ K 2))) J)) 1)) -2) (* (cos (/ K 2)) J))) 45.061 * * * * [progress]: [ 98 / 143 ] simplifiying candidate # 45.061 * [simplify]: Simplifying (/ (sqrt U) (* (cos (/ K 2)) J)) 45.061 * * [simplify]: iters left: 6 (9 enodes) 45.064 * * [simplify]: iters left: 5 (30 enodes) 45.068 * * [simplify]: iters left: 4 (34 enodes) 45.073 * * [simplify]: iters left: 3 (36 enodes) 45.078 * * [simplify]: Extracting #0: cost 1 inf + 0 45.078 * * [simplify]: Extracting #1: cost 8 inf + 0 45.078 * * [simplify]: Extracting #2: cost 14 inf + 1 45.078 * * [simplify]: Extracting #3: cost 16 inf + 2 45.078 * * [simplify]: Extracting #4: cost 11 inf + 168 45.078 * * [simplify]: Extracting #5: cost 5 inf + 762 45.079 * * [simplify]: Extracting #6: cost 0 inf + 1638 45.079 * [simplify]: Simplified to (/ (/ (sqrt U) (cos (/ K 2))) J) 45.079 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ (sqrt U) 2)) (/ (/ (sqrt U) (cos (/ K 2))) J)) 1)) -2) (* (cos (/ K 2)) J))) 45.079 * * * * [progress]: [ 99 / 143 ] simplifiying candidate # 45.079 * [simplify]: Simplifying (/ U (* (cos (/ K 2)) J)) 45.079 * * [simplify]: iters left: 6 (8 enodes) 45.081 * * [simplify]: iters left: 5 (27 enodes) 45.085 * * [simplify]: iters left: 4 (31 enodes) 45.089 * * [simplify]: iters left: 3 (33 enodes) 45.093 * * [simplify]: Extracting #0: cost 1 inf + 0 45.093 * * [simplify]: Extracting #1: cost 8 inf + 0 45.094 * * [simplify]: Extracting #2: cost 11 inf + 2 45.094 * * [simplify]: Extracting #3: cost 12 inf + 86 45.094 * * [simplify]: Extracting #4: cost 9 inf + 130 45.094 * * [simplify]: Extracting #5: cost 1 inf + 1132 45.094 * * [simplify]: Extracting #6: cost 0 inf + 1316 45.094 * [simplify]: Simplified to (/ (/ U J) (cos (/ K 2))) 45.094 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ 1 2)) (/ (/ U J) (cos (/ K 2)))) 1)) -2) (* (cos (/ K 2)) J))) 45.094 * * * * [progress]: [ 100 / 143 ] simplifiying candidate # 45.095 * [simplify]: Simplifying (/ U (* 2 (* (cos (/ K 2)) J))) 45.095 * * [simplify]: iters left: 6 (9 enodes) 45.097 * * [simplify]: iters left: 5 (33 enodes) 45.102 * * [simplify]: iters left: 4 (51 enodes) 45.115 * * [simplify]: iters left: 3 (68 enodes) 45.133 * * [simplify]: iters left: 2 (73 enodes) 45.141 * * [simplify]: Extracting #0: cost 1 inf + 0 45.142 * * [simplify]: Extracting #1: cost 12 inf + 0 45.142 * * [simplify]: Extracting #2: cost 21 inf + 3 45.142 * * [simplify]: Extracting #3: cost 21 inf + 337 45.142 * * [simplify]: Extracting #4: cost 12 inf + 1158 45.143 * * [simplify]: Extracting #5: cost 0 inf + 3114 45.143 * [simplify]: Simplified to (/ (/ U (* J 2)) (cos (/ K 2))) 45.143 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) 1) (/ (/ U (* J 2)) (cos (/ K 2)))) 1)) -2) (* (cos (/ K 2)) J))) 45.143 * * * * [progress]: [ 101 / 143 ] simplifiying candidate # 45.144 * [simplify]: Simplifying (/ 1 (* 2 (* (cos (/ K 2)) J))) 45.144 * * [simplify]: iters left: 6 (9 enodes) 45.146 * * [simplify]: iters left: 5 (36 enodes) 45.153 * * [simplify]: iters left: 4 (56 enodes) 45.161 * * [simplify]: iters left: 3 (72 enodes) 45.177 * * [simplify]: iters left: 2 (76 enodes) 45.194 * * [simplify]: Extracting #0: cost 1 inf + 0 45.195 * * [simplify]: Extracting #1: cost 12 inf + 0 45.195 * * [simplify]: Extracting #2: cost 18 inf + 46 45.195 * * [simplify]: Extracting #3: cost 21 inf + 172 45.195 * * [simplify]: Extracting #4: cost 12 inf + 1055 45.196 * * [simplify]: Extracting #5: cost 2 inf + 2464 45.196 * * [simplify]: Extracting #6: cost 0 inf + 2789 45.197 * [simplify]: Simplified to (/ (/ 1/2 J) (cos (/ K 2))) 45.197 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (/ (/ 1/2 J) (cos (/ K 2)))) 1)) -2) (* (cos (/ K 2)) J))) 45.197 * * * * [progress]: [ 102 / 143 ] simplifiying candidate # 45.198 * [simplify]: Simplifying (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J))))) 45.198 * * [simplify]: iters left: 6 (11 enodes) 45.200 * * [simplify]: iters left: 5 (39 enodes) 45.206 * * [simplify]: iters left: 4 (57 enodes) 45.214 * * [simplify]: iters left: 3 (74 enodes) 45.225 * * [simplify]: iters left: 2 (79 enodes) 45.241 * * [simplify]: Extracting #0: cost 1 inf + 0 45.241 * * [simplify]: Extracting #1: cost 3 inf + 0 45.241 * * [simplify]: Extracting #2: cost 5 inf + 0 45.241 * * [simplify]: Extracting #3: cost 16 inf + 0 45.241 * * [simplify]: Extracting #4: cost 25 inf + 3 45.241 * * [simplify]: Extracting #5: cost 28 inf + 129 45.242 * * [simplify]: Extracting #6: cost 13 inf + 1889 45.243 * * [simplify]: Extracting #7: cost 3 inf + 3901 45.244 * * [simplify]: Extracting #8: cost 0 inf + 4410 45.246 * [simplify]: Simplified to (* (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))) (cbrt (/ (/ U (* J 2)) (cos (/ K 2))))) 45.246 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (* (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))) (cbrt (/ (/ U (* J 2)) (cos (/ K 2))))) (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J))) 45.246 * * * * [progress]: [ 103 / 143 ] simplifiying candidate # 45.247 * [simplify]: Simplifying (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) 45.247 * * [simplify]: iters left: 6 (10 enodes) 45.251 * * [simplify]: iters left: 5 (36 enodes) 45.262 * * [simplify]: iters left: 4 (54 enodes) 45.278 * * [simplify]: iters left: 3 (71 enodes) 45.288 * * [simplify]: iters left: 2 (76 enodes) 45.297 * * [simplify]: Extracting #0: cost 1 inf + 0 45.297 * * [simplify]: Extracting #1: cost 3 inf + 0 45.297 * * [simplify]: Extracting #2: cost 14 inf + 0 45.297 * * [simplify]: Extracting #3: cost 23 inf + 3 45.297 * * [simplify]: Extracting #4: cost 24 inf + 295 45.298 * * [simplify]: Extracting #5: cost 9 inf + 2419 45.298 * * [simplify]: Extracting #6: cost 0 inf + 3642 45.299 * [simplify]: Simplified to (sqrt (/ (/ U (* J 2)) (cos (/ K 2)))) 45.299 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (sqrt (/ (/ U (* J 2)) (cos (/ K 2)))) (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J))) 45.299 * * * * [progress]: [ 104 / 143 ] simplifiying candidate # 45.299 * [simplify]: Simplifying (/ (* (cbrt U) (cbrt U)) 2) 45.299 * * [simplify]: iters left: 5 (5 enodes) 45.301 * * [simplify]: iters left: 4 (17 enodes) 45.304 * * [simplify]: iters left: 3 (21 enodes) 45.307 * * [simplify]: iters left: 2 (24 enodes) 45.311 * * [simplify]: Extracting #0: cost 1 inf + 0 45.311 * * [simplify]: Extracting #1: cost 7 inf + 0 45.311 * * [simplify]: Extracting #2: cost 11 inf + 1 45.311 * * [simplify]: Extracting #3: cost 10 inf + 2 45.311 * * [simplify]: Extracting #4: cost 0 inf + 1218 45.311 * [simplify]: Simplified to (/ (* (cbrt U) (cbrt U)) 2) 45.311 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (/ (* (cbrt U) (cbrt U)) 2) (* (/ (cbrt U) (* (cos (/ K 2)) J)) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J))) 45.311 * * * * [progress]: [ 105 / 143 ] simplifiying candidate # 45.311 * [simplify]: Simplifying (/ (sqrt U) 2) 45.311 * * [simplify]: iters left: 3 (4 enodes) 45.313 * * [simplify]: iters left: 2 (12 enodes) 45.314 * * [simplify]: Extracting #0: cost 1 inf + 0 45.314 * * [simplify]: Extracting #1: cost 4 inf + 0 45.314 * * [simplify]: Extracting #2: cost 5 inf + 1 45.314 * * [simplify]: Extracting #3: cost 4 inf + 2 45.315 * * [simplify]: Extracting #4: cost 0 inf + 248 45.315 * [simplify]: Simplified to (/ (sqrt U) 2) 45.315 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (/ (sqrt U) 2) (* (/ (sqrt U) (* (cos (/ K 2)) J)) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J))) 45.315 * * * * [progress]: [ 106 / 143 ] simplifiying candidate # 45.315 * [simplify]: Simplifying (/ 1 2) 45.315 * * [simplify]: iters left: 2 (3 enodes) 45.317 * * [simplify]: iters left: 1 (12 enodes) 45.319 * * [simplify]: Extracting #0: cost 1 inf + 0 45.319 * * [simplify]: Extracting #1: cost 0 inf + 1 45.319 * [simplify]: Simplified to 1/2 45.319 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* 1/2 (* (/ U (* (cos (/ K 2)) J)) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J))) 45.319 * * * * [progress]: [ 107 / 143 ] simplifiying candidate # 45.320 * * * * [progress]: [ 108 / 143 ] simplifiying candidate # 45.320 * * * * [progress]: [ 109 / 143 ] simplifiying candidate # 45.320 * [simplify]: Simplifying (* 2 (* (cos (/ K 2)) J)) 45.320 * * [simplify]: iters left: 6 (7 enodes) 45.322 * * [simplify]: iters left: 5 (25 enodes) 45.328 * * [simplify]: iters left: 4 (33 enodes) 45.333 * * [simplify]: iters left: 3 (39 enodes) 45.337 * * [simplify]: Extracting #0: cost 1 inf + 0 45.337 * * [simplify]: Extracting #1: cost 8 inf + 0 45.338 * * [simplify]: Extracting #2: cost 11 inf + 2 45.338 * * [simplify]: Extracting #3: cost 12 inf + 44 45.338 * * [simplify]: Extracting #4: cost 10 inf + 87 45.338 * * [simplify]: Extracting #5: cost 4 inf + 660 45.338 * * [simplify]: Extracting #6: cost 1 inf + 1128 45.338 * * [simplify]: Extracting #7: cost 0 inf + 1311 45.339 * [simplify]: Simplified to (* (cos (/ K 2)) (* J 2)) 45.339 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (/ (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (cos (/ K 2)) (* J 2))) 1)) -2) (* (cos (/ K 2)) J))) 45.339 * * * * [progress]: [ 110 / 143 ] simplifiying candidate # 45.339 * [simplify]: Simplifying (* U (/ U (* 2 (* (cos (/ K 2)) J)))) 45.339 * * [simplify]: iters left: 6 (10 enodes) 45.341 * * [simplify]: iters left: 5 (39 enodes) 45.348 * * [simplify]: iters left: 4 (75 enodes) 45.361 * * [simplify]: iters left: 3 (155 enodes) 45.393 * * [simplify]: iters left: 2 (223 enodes) 45.452 * * [simplify]: iters left: 1 (275 enodes) 45.525 * * [simplify]: Extracting #0: cost 1 inf + 0 45.525 * * [simplify]: Extracting #1: cost 34 inf + 0 45.526 * * [simplify]: Extracting #2: cost 56 inf + 128 45.527 * * [simplify]: Extracting #3: cost 42 inf + 1204 45.529 * * [simplify]: Extracting #4: cost 19 inf + 4613 45.533 * * [simplify]: Extracting #5: cost 0 inf + 8215 45.538 * [simplify]: Simplified to (/ (/ U (cos (/ K 2))) (* (/ 2 U) J)) 45.538 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (/ (/ (/ U (cos (/ K 2))) (* (/ 2 U) J)) (* 2 (* (cos (/ K 2)) J))) 1)) -2) (* (cos (/ K 2)) J))) 45.538 * * * * [progress]: [ 111 / 143 ] simplifiying candidate #real (real->posit16 (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J)))> 45.538 * * * * [progress]: [ 112 / 143 ] simplifiying candidate # 45.538 * * * * [progress]: [ 113 / 143 ] simplifiying candidate # 45.538 * [simplify]: Simplifying (* (cos (/ K 2)) J) 45.539 * * [simplify]: iters left: 5 (6 enodes) 45.542 * * [simplify]: iters left: 4 (19 enodes) 45.548 * * [simplify]: Extracting #0: cost 1 inf + 0 45.548 * * [simplify]: Extracting #1: cost 4 inf + 0 45.548 * * [simplify]: Extracting #2: cost 5 inf + 1 45.548 * * [simplify]: Extracting #3: cost 8 inf + 1 45.548 * * [simplify]: Extracting #4: cost 6 inf + 3 45.549 * * [simplify]: Extracting #5: cost 0 inf + 577 45.549 * [simplify]: Simplified to (* (cos (/ K 2)) J) 45.549 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (pow (* (cos (/ K 2)) J) 1))) 45.549 * * * * [progress]: [ 114 / 143 ] simplifiying candidate # 45.549 * * * * [progress]: [ 115 / 143 ] simplifiying candidate # 45.549 * [simplify]: Simplifying (+ (log (cos (/ K 2))) (log J)) 45.550 * * [simplify]: iters left: 6 (8 enodes) 45.553 * * [simplify]: iters left: 5 (25 enodes) 45.561 * * [simplify]: Extracting #0: cost 1 inf + 0 45.561 * * [simplify]: Extracting #1: cost 4 inf + 0 45.561 * * [simplify]: Extracting #2: cost 8 inf + 0 45.561 * * [simplify]: Extracting #3: cost 8 inf + 72 45.561 * * [simplify]: Extracting #4: cost 10 inf + 143 45.561 * * [simplify]: Extracting #5: cost 8 inf + 145 45.562 * * [simplify]: Extracting #6: cost 5 inf + 331 45.562 * * [simplify]: Extracting #7: cost 1 inf + 1060 45.562 * * [simplify]: Extracting #8: cost 0 inf + 1343 45.563 * [simplify]: Simplified to (+ (log J) (log (cos (/ K 2)))) 45.563 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (exp (+ (log J) (log (cos (/ K 2))))))) 45.563 * * * * [progress]: [ 116 / 143 ] simplifiying candidate # 45.563 * * * * [progress]: [ 117 / 143 ] simplifiying candidate # 45.563 * * * * [progress]: [ 118 / 143 ] simplifiying candidate # 45.563 * [simplify]: Simplifying (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J)) 45.564 * * [simplify]: iters left: 6 (10 enodes) 45.569 * * [simplify]: iters left: 5 (37 enodes) 45.581 * * [simplify]: iters left: 4 (66 enodes) 45.600 * * [simplify]: iters left: 3 (125 enodes) 45.632 * * [simplify]: iters left: 2 (196 enodes) 45.682 * * [simplify]: iters left: 1 (353 enodes) 45.802 * * [simplify]: Extracting #0: cost 1 inf + 0 45.802 * * [simplify]: Extracting #1: cost 51 inf + 0 45.803 * * [simplify]: Extracting #2: cost 146 inf + 124 45.804 * * [simplify]: Extracting #3: cost 153 inf + 460 45.807 * * [simplify]: Extracting #4: cost 133 inf + 4920 45.816 * * [simplify]: Extracting #5: cost 45 inf + 43385 45.831 * * [simplify]: Extracting #6: cost 4 inf + 66357 45.839 * * [simplify]: Extracting #7: cost 0 inf + 69278 45.847 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)) 45.847 * [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))))) 45.847 * * * * [progress]: [ 119 / 143 ] simplifiying candidate # 45.847 * * * * [progress]: [ 120 / 143 ] simplifiying candidate # 45.847 * * * * [progress]: [ 121 / 143 ] simplifiying candidate # 45.847 * * * * [progress]: [ 122 / 143 ] simplifiying candidate # 45.847 * * * * [progress]: [ 123 / 143 ] simplifiying candidate # 45.848 * [simplify]: Simplifying (* (sqrt (cos (/ K 2))) (sqrt J)) 45.848 * * [simplify]: iters left: 6 (8 enodes) 45.850 * * [simplify]: iters left: 5 (25 enodes) 45.855 * * [simplify]: Extracting #0: cost 1 inf + 0 45.855 * * [simplify]: Extracting #1: cost 4 inf + 0 45.855 * * [simplify]: Extracting #2: cost 8 inf + 0 45.856 * * [simplify]: Extracting #3: cost 8 inf + 42 45.856 * * [simplify]: Extracting #4: cost 10 inf + 83 45.856 * * [simplify]: Extracting #5: cost 8 inf + 85 45.856 * * [simplify]: Extracting #6: cost 5 inf + 271 45.856 * * [simplify]: Extracting #7: cost 1 inf + 880 45.857 * * [simplify]: Extracting #8: cost 0 inf + 1103 45.857 * [simplify]: Simplified to (* (sqrt J) (sqrt (cos (/ K 2)))) 45.857 * [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))))) 45.857 * [simplify]: Simplifying (* (sqrt (cos (/ K 2))) (sqrt J)) 45.857 * * [simplify]: iters left: 6 (8 enodes) 45.861 * * [simplify]: iters left: 5 (25 enodes) 45.869 * * [simplify]: Extracting #0: cost 1 inf + 0 45.869 * * [simplify]: Extracting #1: cost 4 inf + 0 45.869 * * [simplify]: Extracting #2: cost 8 inf + 0 45.869 * * [simplify]: Extracting #3: cost 8 inf + 42 45.869 * * [simplify]: Extracting #4: cost 10 inf + 83 45.869 * * [simplify]: Extracting #5: cost 8 inf + 85 45.869 * * [simplify]: Extracting #6: cost 5 inf + 271 45.870 * * [simplify]: Extracting #7: cost 1 inf + 880 45.870 * * [simplify]: Extracting #8: cost 0 inf + 1103 45.870 * [simplify]: Simplified to (* (sqrt J) (sqrt (cos (/ K 2)))) 45.870 * [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))))))) 45.871 * * * * [progress]: [ 124 / 143 ] simplifiying candidate # 45.871 * [simplify]: Simplifying (cbrt J) 45.871 * * [simplify]: iters left: 1 (2 enodes) 45.875 * * [simplify]: Extracting #0: cost 1 inf + 0 45.875 * * [simplify]: Extracting #1: cost 3 inf + 0 45.875 * * [simplify]: Extracting #2: cost 2 inf + 1 45.875 * * [simplify]: Extracting #3: cost 0 inf + 163 45.876 * [simplify]: Simplified to (cbrt J) 45.876 * [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)))) 45.876 * * * * [progress]: [ 125 / 143 ] simplifiying candidate # 45.876 * [simplify]: Simplifying (sqrt J) 45.876 * * [simplify]: iters left: 1 (2 enodes) 45.877 * * [simplify]: Extracting #0: cost 1 inf + 0 45.877 * * [simplify]: Extracting #1: cost 3 inf + 0 45.877 * * [simplify]: Extracting #2: cost 2 inf + 1 45.877 * * [simplify]: Extracting #3: cost 0 inf + 83 45.877 * [simplify]: Simplified to (sqrt J) 45.877 * [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)))) 45.878 * * * * [progress]: [ 126 / 143 ] simplifiying candidate # 45.878 * * * * [progress]: [ 127 / 143 ] simplifiying candidate # 45.878 * [simplify]: Simplifying (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) 45.878 * * [simplify]: iters left: 6 (6 enodes) 45.881 * * [simplify]: iters left: 5 (18 enodes) 45.886 * * [simplify]: Extracting #0: cost 1 inf + 0 45.886 * * [simplify]: Extracting #1: cost 3 inf + 0 45.887 * * [simplify]: Extracting #2: cost 5 inf + 0 45.887 * * [simplify]: Extracting #3: cost 7 inf + 0 45.887 * * [simplify]: Extracting #4: cost 10 inf + 0 45.887 * * [simplify]: Extracting #5: cost 8 inf + 2 45.887 * * [simplify]: Extracting #6: cost 0 inf + 1098 45.887 * [simplify]: Simplified to (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) 45.887 * [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)))) 45.888 * * * * [progress]: [ 128 / 143 ] simplifiying candidate # 45.888 * [simplify]: Simplifying (sqrt (cos (/ K 2))) 45.888 * * [simplify]: iters left: 4 (5 enodes) 45.890 * * [simplify]: iters left: 3 (15 enodes) 45.893 * * [simplify]: Extracting #0: cost 1 inf + 0 45.893 * * [simplify]: Extracting #1: cost 3 inf + 0 45.893 * * [simplify]: Extracting #2: cost 5 inf + 0 45.893 * * [simplify]: Extracting #3: cost 8 inf + 0 45.893 * * [simplify]: Extracting #4: cost 6 inf + 2 45.893 * * [simplify]: Extracting #5: cost 0 inf + 574 45.894 * [simplify]: Simplified to (sqrt (cos (/ K 2))) 45.894 * [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)))) 45.894 * * * * [progress]: [ 129 / 143 ] simplifiying candidate # 45.894 * * * * [progress]: [ 130 / 143 ] simplifiying candidate #real (real->posit16 (* (cos (/ K 2)) J)))))> 45.894 * * * * [progress]: [ 131 / 143 ] simplifiying candidate # 45.894 * * * * [progress]: [ 132 / 143 ] simplifiying candidate # 45.894 * [simplify]: Simplifying (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 45.894 * * [simplify]: iters left: 6 (10 enodes) 45.898 * * [simplify]: iters left: 5 (43 enodes) 45.905 * * [simplify]: iters left: 4 (79 enodes) 45.917 * * [simplify]: iters left: 3 (118 enodes) 45.948 * * [simplify]: iters left: 2 (171 enodes) 46.007 * * [simplify]: iters left: 1 (242 enodes) 46.090 * * [simplify]: Extracting #0: cost 1 inf + 0 46.090 * * [simplify]: Extracting #1: cost 6 inf + 0 46.090 * * [simplify]: Extracting #2: cost 41 inf + 0 46.091 * * [simplify]: Extracting #3: cost 56 inf + 213 46.092 * * [simplify]: Extracting #4: cost 20 inf + 2732 46.095 * * [simplify]: Extracting #5: cost 1 inf + 4576 46.098 * * [simplify]: Extracting #6: cost 0 inf + 4698 46.101 * [simplify]: Simplified to (- (* -2 J) (/ (* U U) (/ J 1/4))) 46.101 * [simplify]: Simplified (2) to (λ (J K U) (- (* -2 J) (/ (* U U) (/ J 1/4)))) 46.101 * * * * [progress]: [ 133 / 143 ] simplifiying candidate # 46.101 * [simplify]: Simplifying (* -1 U) 46.101 * * [simplify]: iters left: 2 (3 enodes) 46.103 * * [simplify]: iters left: 1 (11 enodes) 46.106 * * [simplify]: Extracting #0: cost 1 inf + 0 46.107 * * [simplify]: Extracting #1: cost 4 inf + 0 46.107 * * [simplify]: Extracting #2: cost 0 inf + 84 46.107 * [simplify]: Simplified to (- U) 46.107 * [simplify]: Simplified (2) to (λ (J K U) (- U)) 46.107 * * * * [progress]: [ 134 / 143 ] simplifiying candidate # 46.107 * [simplify]: Simplifying (* -1 U) 46.107 * * [simplify]: iters left: 2 (3 enodes) 46.109 * * [simplify]: iters left: 1 (11 enodes) 46.112 * * [simplify]: Extracting #0: cost 1 inf + 0 46.112 * * [simplify]: Extracting #1: cost 4 inf + 0 46.112 * * [simplify]: Extracting #2: cost 0 inf + 84 46.112 * [simplify]: Simplified to (- U) 46.112 * [simplify]: Simplified (2) to (λ (J K U) (- U)) 46.112 * * * * [progress]: [ 135 / 143 ] simplifiying candidate # 46.113 * [simplify]: Simplifying 1 46.113 * * [simplify]: iters left: 0 (1 enodes) 46.114 * * [simplify]: Extracting #0: cost 1 inf + 0 46.114 * * [simplify]: Extracting #1: cost 0 inf + 1 46.114 * [simplify]: Simplified to 1 46.114 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* 1 -2) (* (cos (/ K 2)) J))) 46.114 * * * * [progress]: [ 136 / 143 ] simplifiying candidate # 46.114 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 46.114 * * [simplify]: iters left: 6 (9 enodes) 46.121 * * [simplify]: iters left: 5 (34 enodes) 46.129 * * [simplify]: iters left: 4 (56 enodes) 46.138 * * [simplify]: iters left: 3 (90 enodes) 46.151 * * [simplify]: iters left: 2 (114 enodes) 46.174 * * [simplify]: iters left: 1 (131 enodes) 46.192 * * [simplify]: Extracting #0: cost 1 inf + 0 46.192 * * [simplify]: Extracting #1: cost 22 inf + 0 46.192 * * [simplify]: Extracting #2: cost 37 inf + 3 46.193 * * [simplify]: Extracting #3: cost 31 inf + 380 46.193 * * [simplify]: Extracting #4: cost 17 inf + 1834 46.194 * * [simplify]: Extracting #5: cost 3 inf + 4117 46.195 * * [simplify]: Extracting #6: cost 0 inf + 4586 46.196 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 46.196 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) -2) (* (cos (/ K 2)) J))) 46.196 * * * * [progress]: [ 137 / 143 ] simplifiying candidate # 46.196 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 46.196 * * [simplify]: iters left: 6 (9 enodes) 46.198 * * [simplify]: iters left: 5 (34 enodes) 46.210 * * [simplify]: iters left: 4 (56 enodes) 46.223 * * [simplify]: iters left: 3 (90 enodes) 46.236 * * [simplify]: iters left: 2 (114 enodes) 46.255 * * [simplify]: iters left: 1 (131 enodes) 46.277 * * [simplify]: Extracting #0: cost 1 inf + 0 46.277 * * [simplify]: Extracting #1: cost 22 inf + 0 46.277 * * [simplify]: Extracting #2: cost 37 inf + 3 46.277 * * [simplify]: Extracting #3: cost 31 inf + 380 46.278 * * [simplify]: Extracting #4: cost 17 inf + 1834 46.279 * * [simplify]: Extracting #5: cost 3 inf + 4117 46.280 * * [simplify]: Extracting #6: cost 0 inf + 4586 46.281 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 46.281 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) -2) (* (cos (/ K 2)) J))) 46.281 * * * * [progress]: [ 138 / 143 ] simplifiying candidate # 46.281 * [simplify]: Simplifying (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (* (pow K 4) (pow U 2)) (pow J 2))))) 46.281 * * [simplify]: iters left: 6 (22 enodes) 46.293 * * [simplify]: iters left: 5 (98 enodes) 46.327 * * [simplify]: iters left: 4 (205 enodes) 46.394 * * [simplify]: Extracting #0: cost 1 inf + 0 46.394 * * [simplify]: Extracting #1: cost 8 inf + 0 46.394 * * [simplify]: Extracting #2: cost 99 inf + 0 46.396 * * [simplify]: Extracting #3: cost 194 inf + 251 46.403 * * [simplify]: Extracting #4: cost 104 inf + 10603 46.415 * * [simplify]: Extracting #5: cost 8 inf + 24728 46.427 * * [simplify]: Extracting #6: cost 0 inf + 25715 46.440 * * [simplify]: Extracting #7: cost 0 inf + 25355 46.453 * * [simplify]: Extracting #8: cost 0 inf + 25315 46.461 * [simplify]: Simplified to (+ (+ (* 1/96 (* (/ (* K K) (/ J U)) (/ (* K K) (/ J U)))) (* (* 1/4 (/ U J)) (/ U J))) (* (* (/ (* K U) J) (/ (* K U) J)) 1/16)) 46.461 * [simplify]: Simplified (2 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (+ (+ (* 1/96 (* (/ (* K K) (/ J U)) (/ (* K K) (/ J U)))) (* (* 1/4 (/ U J)) (/ U J))) (* (* (/ (* K U) J) (/ (* K U) J)) 1/16)) 1)) -2) (* (cos (/ K 2)) J))) 46.461 * * * * [progress]: [ 139 / 143 ] simplifiying candidate # 46.461 * [simplify]: Simplifying (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 46.461 * * [simplify]: iters left: 6 (14 enodes) 46.466 * * [simplify]: iters left: 5 (60 enodes) 46.477 * * [simplify]: iters left: 4 (121 enodes) 46.528 * * [simplify]: iters left: 3 (401 enodes) 46.725 * * [simplify]: Extracting #0: cost 1 inf + 0 46.726 * * [simplify]: Extracting #1: cost 135 inf + 0 46.727 * * [simplify]: Extracting #2: cost 287 inf + 168 46.729 * * [simplify]: Extracting #3: cost 261 inf + 2234 46.733 * * [simplify]: Extracting #4: cost 167 inf + 19219 46.746 * * [simplify]: Extracting #5: cost 11 inf + 55565 46.764 * * [simplify]: Extracting #6: cost 0 inf + 57309 46.785 * * [simplify]: Extracting #7: cost 0 inf + 57229 46.806 * [simplify]: Simplified to (* (* (/ U (* J (cos (* 1/2 K)))) (/ U (* J (cos (* 1/2 K))))) 1/4) 46.806 * [simplify]: Simplified (2 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (* (/ U (* J (cos (* 1/2 K)))) (/ U (* J (cos (* 1/2 K))))) 1/4) 1)) -2) (* (cos (/ K 2)) J))) 46.806 * * * * [progress]: [ 140 / 143 ] simplifiying candidate # 46.807 * [simplify]: Simplifying (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 46.807 * * [simplify]: iters left: 6 (14 enodes) 46.811 * * [simplify]: iters left: 5 (60 enodes) 46.822 * * [simplify]: iters left: 4 (121 enodes) 46.863 * * [simplify]: iters left: 3 (401 enodes) 47.103 * * [simplify]: Extracting #0: cost 1 inf + 0 47.103 * * [simplify]: Extracting #1: cost 135 inf + 0 47.104 * * [simplify]: Extracting #2: cost 287 inf + 168 47.106 * * [simplify]: Extracting #3: cost 261 inf + 2234 47.110 * * [simplify]: Extracting #4: cost 167 inf + 19219 47.123 * * [simplify]: Extracting #5: cost 11 inf + 55565 47.148 * * [simplify]: Extracting #6: cost 0 inf + 57309 47.163 * * [simplify]: Extracting #7: cost 0 inf + 57229 47.177 * [simplify]: Simplified to (* (* (/ U (* J (cos (* 1/2 K)))) (/ U (* J (cos (* 1/2 K))))) 1/4) 47.177 * [simplify]: Simplified (2 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (* (/ U (* J (cos (* 1/2 K)))) (/ U (* J (cos (* 1/2 K))))) 1/4) 1)) -2) (* (cos (/ K 2)) J))) 47.178 * * * * [progress]: [ 141 / 143 ] simplifiying candidate # 47.178 * [simplify]: Simplifying (- J (* 1/8 (* (pow K 2) J))) 47.178 * * [simplify]: iters left: 6 (8 enodes) 47.181 * * [simplify]: iters left: 5 (35 enodes) 47.193 * * [simplify]: iters left: 4 (67 enodes) 47.216 * * [simplify]: iters left: 3 (133 enodes) 47.241 * * [simplify]: iters left: 2 (207 enodes) 47.310 * * [simplify]: iters left: 1 (230 enodes) 47.362 * * [simplify]: Extracting #0: cost 1 inf + 0 47.362 * * [simplify]: Extracting #1: cost 6 inf + 0 47.362 * * [simplify]: Extracting #2: cost 28 inf + 1 47.362 * * [simplify]: Extracting #3: cost 33 inf + 378 47.363 * * [simplify]: Extracting #4: cost 2 inf + 2884 47.364 * * [simplify]: Extracting #5: cost 0 inf + 3130 47.365 * [simplify]: Simplified to (- J (* (* K K) (* J 1/8))) 47.365 * [simplify]: Simplified (2 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (- J (* (* K K) (* J 1/8))))) 47.365 * * * * [progress]: [ 142 / 143 ] simplifiying candidate # 47.366 * [simplify]: Simplifying (* (cos (* 1/2 K)) J) 47.366 * * [simplify]: iters left: 5 (6 enodes) 47.368 * * [simplify]: iters left: 4 (20 enodes) 47.371 * * [simplify]: Extracting #0: cost 1 inf + 0 47.371 * * [simplify]: Extracting #1: cost 4 inf + 0 47.371 * * [simplify]: Extracting #2: cost 5 inf + 1 47.371 * * [simplify]: Extracting #3: cost 8 inf + 1 47.371 * * [simplify]: Extracting #4: cost 6 inf + 3 47.371 * * [simplify]: Extracting #5: cost 0 inf + 577 47.371 * [simplify]: Simplified to (* (cos (* 1/2 K)) J) 47.371 * [simplify]: Simplified (2 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (* 1/2 K)) J))) 47.371 * * * * [progress]: [ 143 / 143 ] simplifiying candidate # 47.371 * [simplify]: Simplifying (* (cos (* 1/2 K)) J) 47.372 * * [simplify]: iters left: 5 (6 enodes) 47.373 * * [simplify]: iters left: 4 (20 enodes) 47.376 * * [simplify]: Extracting #0: cost 1 inf + 0 47.376 * * [simplify]: Extracting #1: cost 4 inf + 0 47.376 * * [simplify]: Extracting #2: cost 5 inf + 1 47.376 * * [simplify]: Extracting #3: cost 8 inf + 1 47.376 * * [simplify]: Extracting #4: cost 6 inf + 3 47.376 * * [simplify]: Extracting #5: cost 0 inf + 577 47.376 * [simplify]: Simplified to (* (cos (* 1/2 K)) J) 47.376 * [simplify]: Simplified (2 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (* 1/2 K)) J))) 47.377 * * * [progress]: adding candidates to table 49.185 * * [progress]: iteration 2 / 4 49.185 * * * [progress]: picking best candidate 49.222 * * * * [pick]: Picked # 49.222 * * * [progress]: localizing error 49.297 * * * [progress]: generating rewritten candidates 49.298 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 49.748 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 49.904 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1) 49.905 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 49.907 * * * [progress]: generating series expansions 49.907 * * * * [progress]: [ 1 / 4 ] generating series at (2) 49.908 * [backup-simplify]: Simplify (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))) into (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) 49.908 * [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 49.908 * [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 49.908 * [taylor]: Taking taylor expansion of -2 in J 49.908 * [backup-simplify]: Simplify -2 into -2 49.908 * [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 49.908 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 49.908 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 49.908 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 49.908 * [taylor]: Taking taylor expansion of 1/2 in J 49.908 * [backup-simplify]: Simplify 1/2 into 1/2 49.908 * [taylor]: Taking taylor expansion of K in J 49.908 * [backup-simplify]: Simplify K into K 49.908 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 49.908 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 49.908 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 49.908 * [taylor]: Taking taylor expansion of J in J 49.908 * [backup-simplify]: Simplify 0 into 0 49.908 * [backup-simplify]: Simplify 1 into 1 49.908 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 49.908 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 49.908 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 49.908 * [taylor]: Taking taylor expansion of 1/4 in J 49.908 * [backup-simplify]: Simplify 1/4 into 1/4 49.908 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 49.908 * [taylor]: Taking taylor expansion of (pow U 2) in J 49.908 * [taylor]: Taking taylor expansion of U in J 49.908 * [backup-simplify]: Simplify U into U 49.908 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 49.908 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 49.908 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 49.908 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 49.908 * [taylor]: Taking taylor expansion of 1/2 in J 49.908 * [backup-simplify]: Simplify 1/2 into 1/2 49.909 * [taylor]: Taking taylor expansion of K in J 49.909 * [backup-simplify]: Simplify K into K 49.909 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 49.909 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 49.909 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 49.909 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 49.909 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 49.909 * [backup-simplify]: Simplify (- 0) into 0 49.909 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 49.909 * [taylor]: Taking taylor expansion of (pow J 2) in J 49.909 * [taylor]: Taking taylor expansion of J in J 49.909 * [backup-simplify]: Simplify 0 into 0 49.909 * [backup-simplify]: Simplify 1 into 1 49.909 * [backup-simplify]: Simplify (* U U) into (pow U 2) 49.910 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 49.910 * [backup-simplify]: Simplify (* 1 1) into 1 49.910 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 49.910 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 49.910 * [taylor]: Taking taylor expansion of 1 in J 49.910 * [backup-simplify]: Simplify 1 into 1 49.910 * [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))) 49.910 * [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))) 49.910 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 49.910 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 49.911 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 49.911 * [backup-simplify]: Simplify (+ 0) into 0 49.911 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 49.912 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 49.912 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.912 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 49.913 * [backup-simplify]: Simplify (- 0) into 0 49.913 * [backup-simplify]: Simplify (+ 0 0) into 0 49.913 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 49.913 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 49.914 * [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 49.914 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 49.914 * [backup-simplify]: Simplify (+ 0 0) into 0 49.914 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 49.914 * [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 49.914 * [taylor]: Taking taylor expansion of -2 in K 49.914 * [backup-simplify]: Simplify -2 into -2 49.914 * [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 49.914 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 49.915 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 49.915 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 49.915 * [taylor]: Taking taylor expansion of 1/2 in K 49.915 * [backup-simplify]: Simplify 1/2 into 1/2 49.915 * [taylor]: Taking taylor expansion of K in K 49.915 * [backup-simplify]: Simplify 0 into 0 49.915 * [backup-simplify]: Simplify 1 into 1 49.915 * [backup-simplify]: Simplify (* 1/2 0) into 0 49.915 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 49.915 * [taylor]: Taking taylor expansion of J in K 49.915 * [backup-simplify]: Simplify J into J 49.915 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 49.915 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 49.915 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 49.915 * [taylor]: Taking taylor expansion of 1/4 in K 49.915 * [backup-simplify]: Simplify 1/4 into 1/4 49.915 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 49.915 * [taylor]: Taking taylor expansion of (pow U 2) in K 49.915 * [taylor]: Taking taylor expansion of U in K 49.916 * [backup-simplify]: Simplify U into U 49.916 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 49.916 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 49.916 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 49.916 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 49.916 * [taylor]: Taking taylor expansion of 1/2 in K 49.916 * [backup-simplify]: Simplify 1/2 into 1/2 49.916 * [taylor]: Taking taylor expansion of K in K 49.916 * [backup-simplify]: Simplify 0 into 0 49.916 * [backup-simplify]: Simplify 1 into 1 49.916 * [backup-simplify]: Simplify (* 1/2 0) into 0 49.916 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 49.916 * [taylor]: Taking taylor expansion of (pow J 2) in K 49.916 * [taylor]: Taking taylor expansion of J in K 49.916 * [backup-simplify]: Simplify J into J 49.916 * [backup-simplify]: Simplify (* U U) into (pow U 2) 49.917 * [backup-simplify]: Simplify (* 1 1) into 1 49.917 * [backup-simplify]: Simplify (* J J) into (pow J 2) 49.917 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 49.917 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 49.917 * [taylor]: Taking taylor expansion of 1 in K 49.917 * [backup-simplify]: Simplify 1 into 1 49.917 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 49.917 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 49.917 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 49.917 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 49.917 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 49.918 * [backup-simplify]: Simplify (+ 0) into 0 49.918 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 49.918 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 49.918 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 49.919 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 49.919 * [backup-simplify]: Simplify (+ 0 0) into 0 49.919 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 49.919 * [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 49.919 * [taylor]: Taking taylor expansion of -2 in U 49.919 * [backup-simplify]: Simplify -2 into -2 49.919 * [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 49.919 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 49.919 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 49.920 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 49.920 * [taylor]: Taking taylor expansion of 1/2 in U 49.920 * [backup-simplify]: Simplify 1/2 into 1/2 49.920 * [taylor]: Taking taylor expansion of K in U 49.920 * [backup-simplify]: Simplify K into K 49.920 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 49.920 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 49.920 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 49.920 * [taylor]: Taking taylor expansion of J in U 49.920 * [backup-simplify]: Simplify J into J 49.920 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 49.920 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 49.920 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 49.920 * [taylor]: Taking taylor expansion of 1/4 in U 49.920 * [backup-simplify]: Simplify 1/4 into 1/4 49.920 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 49.920 * [taylor]: Taking taylor expansion of (pow U 2) in U 49.920 * [taylor]: Taking taylor expansion of U in U 49.920 * [backup-simplify]: Simplify 0 into 0 49.920 * [backup-simplify]: Simplify 1 into 1 49.920 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 49.920 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 49.920 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 49.920 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 49.920 * [taylor]: Taking taylor expansion of 1/2 in U 49.920 * [backup-simplify]: Simplify 1/2 into 1/2 49.920 * [taylor]: Taking taylor expansion of K in U 49.920 * [backup-simplify]: Simplify K into K 49.920 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 49.920 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 49.920 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 49.920 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 49.920 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 49.920 * [backup-simplify]: Simplify (- 0) into 0 49.921 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 49.921 * [taylor]: Taking taylor expansion of (pow J 2) in U 49.921 * [taylor]: Taking taylor expansion of J in U 49.921 * [backup-simplify]: Simplify J into J 49.921 * [backup-simplify]: Simplify (* 1 1) into 1 49.921 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 49.921 * [backup-simplify]: Simplify (* J J) into (pow J 2) 49.921 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 49.921 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 49.921 * [taylor]: Taking taylor expansion of 1 in U 49.921 * [backup-simplify]: Simplify 1 into 1 49.921 * [backup-simplify]: Simplify (+ 0 1) into 1 49.922 * [backup-simplify]: Simplify (sqrt 1) into 1 49.922 * [backup-simplify]: Simplify (+ 0 0) into 0 49.922 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 49.922 * [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 49.922 * [taylor]: Taking taylor expansion of -2 in U 49.922 * [backup-simplify]: Simplify -2 into -2 49.922 * [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 49.922 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 49.922 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 49.922 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 49.922 * [taylor]: Taking taylor expansion of 1/2 in U 49.922 * [backup-simplify]: Simplify 1/2 into 1/2 49.922 * [taylor]: Taking taylor expansion of K in U 49.922 * [backup-simplify]: Simplify K into K 49.923 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 49.923 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 49.923 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 49.923 * [taylor]: Taking taylor expansion of J in U 49.923 * [backup-simplify]: Simplify J into J 49.923 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 49.923 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 49.923 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 49.923 * [taylor]: Taking taylor expansion of 1/4 in U 49.923 * [backup-simplify]: Simplify 1/4 into 1/4 49.923 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 49.923 * [taylor]: Taking taylor expansion of (pow U 2) in U 49.923 * [taylor]: Taking taylor expansion of U in U 49.923 * [backup-simplify]: Simplify 0 into 0 49.923 * [backup-simplify]: Simplify 1 into 1 49.923 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 49.923 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 49.923 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 49.923 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 49.923 * [taylor]: Taking taylor expansion of 1/2 in U 49.923 * [backup-simplify]: Simplify 1/2 into 1/2 49.923 * [taylor]: Taking taylor expansion of K in U 49.923 * [backup-simplify]: Simplify K into K 49.923 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 49.923 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 49.923 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 49.923 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 49.923 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 49.923 * [backup-simplify]: Simplify (- 0) into 0 49.923 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 49.923 * [taylor]: Taking taylor expansion of (pow J 2) in U 49.923 * [taylor]: Taking taylor expansion of J in U 49.923 * [backup-simplify]: Simplify J into J 49.924 * [backup-simplify]: Simplify (* 1 1) into 1 49.924 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 49.924 * [backup-simplify]: Simplify (* J J) into (pow J 2) 49.924 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 49.924 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 49.924 * [taylor]: Taking taylor expansion of 1 in U 49.924 * [backup-simplify]: Simplify 1 into 1 49.924 * [backup-simplify]: Simplify (+ 0 1) into 1 49.925 * [backup-simplify]: Simplify (sqrt 1) into 1 49.925 * [backup-simplify]: Simplify (+ 0 0) into 0 49.925 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 49.925 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 49.926 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 49.926 * [backup-simplify]: Simplify (- 0) into 0 49.926 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 49.926 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 49.926 * [backup-simplify]: Simplify (* (* (cos (* 1/2 K)) J) 1) into (* (cos (* 1/2 K)) J) 49.926 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J)) 49.926 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in K 49.926 * [taylor]: Taking taylor expansion of -2 in K 49.926 * [backup-simplify]: Simplify -2 into -2 49.926 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 49.926 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 49.926 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 49.926 * [taylor]: Taking taylor expansion of 1/2 in K 49.926 * [backup-simplify]: Simplify 1/2 into 1/2 49.926 * [taylor]: Taking taylor expansion of K in K 49.926 * [backup-simplify]: Simplify 0 into 0 49.926 * [backup-simplify]: Simplify 1 into 1 49.926 * [backup-simplify]: Simplify (* 1/2 0) into 0 49.927 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 49.927 * [taylor]: Taking taylor expansion of J in K 49.927 * [backup-simplify]: Simplify J into J 49.927 * [backup-simplify]: Simplify (* 1 J) into J 49.927 * [backup-simplify]: Simplify (* -2 J) into (* -2 J) 49.927 * [taylor]: Taking taylor expansion of (* -2 J) in J 49.927 * [taylor]: Taking taylor expansion of -2 in J 49.927 * [backup-simplify]: Simplify -2 into -2 49.927 * [taylor]: Taking taylor expansion of J in J 49.927 * [backup-simplify]: Simplify 0 into 0 49.927 * [backup-simplify]: Simplify 1 into 1 49.927 * [backup-simplify]: Simplify (+ 0) into 0 49.928 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 49.928 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 49.928 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.929 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 49.929 * [backup-simplify]: Simplify (- 0) into 0 49.929 * [backup-simplify]: Simplify (+ 0 0) into 0 49.929 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 49.930 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (* 0 1)) into 0 49.930 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0 49.930 * [taylor]: Taking taylor expansion of 0 in K 49.930 * [backup-simplify]: Simplify 0 into 0 49.930 * [taylor]: Taking taylor expansion of 0 in J 49.930 * [backup-simplify]: Simplify 0 into 0 49.930 * [backup-simplify]: Simplify (+ 0) into 0 49.931 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 49.931 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 J)) into 0 49.931 * [taylor]: Taking taylor expansion of 0 in J 49.931 * [backup-simplify]: Simplify 0 into 0 49.931 * [backup-simplify]: Simplify (* -2 0) into 0 49.931 * [backup-simplify]: Simplify 0 into 0 49.931 * [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))) 49.931 * [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)))) 49.933 * [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))) 49.934 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 49.934 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 49.935 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 49.936 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 49.937 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 49.937 * [backup-simplify]: Simplify (- 0) into 0 49.937 * [backup-simplify]: Simplify (+ 0 0) into 0 49.938 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0 49.939 * [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))) 49.939 * [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)))) 49.939 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in K 49.939 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in K 49.939 * [taylor]: Taking taylor expansion of 1/4 in K 49.940 * [backup-simplify]: Simplify 1/4 into 1/4 49.940 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in K 49.940 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 49.940 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 49.940 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 49.940 * [taylor]: Taking taylor expansion of 1/2 in K 49.940 * [backup-simplify]: Simplify 1/2 into 1/2 49.940 * [taylor]: Taking taylor expansion of K in K 49.940 * [backup-simplify]: Simplify 0 into 0 49.940 * [backup-simplify]: Simplify 1 into 1 49.940 * [backup-simplify]: Simplify (* 1/2 0) into 0 49.941 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 49.941 * [taylor]: Taking taylor expansion of J in K 49.941 * [backup-simplify]: Simplify J into J 49.941 * [backup-simplify]: Simplify (* 1 J) into J 49.941 * [backup-simplify]: Simplify (/ 1 J) into (/ 1 J) 49.941 * [backup-simplify]: Simplify (* 1/4 (/ 1 J)) into (/ 1/4 J) 49.941 * [backup-simplify]: Simplify (- (/ 1/4 J)) into (- (* 1/4 (/ 1 J))) 49.941 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 J))) in J 49.941 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 J)) in J 49.941 * [taylor]: Taking taylor expansion of 1/4 in J 49.941 * [backup-simplify]: Simplify 1/4 into 1/4 49.941 * [taylor]: Taking taylor expansion of (/ 1 J) in J 49.941 * [taylor]: Taking taylor expansion of J in J 49.941 * [backup-simplify]: Simplify 0 into 0 49.941 * [backup-simplify]: Simplify 1 into 1 49.942 * [backup-simplify]: Simplify (/ 1 1) into 1 49.942 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 49.943 * [backup-simplify]: Simplify (- 1/4) into -1/4 49.943 * [backup-simplify]: Simplify -1/4 into -1/4 49.943 * [taylor]: Taking taylor expansion of 0 in J 49.943 * [backup-simplify]: Simplify 0 into 0 49.944 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 49.945 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J)) 49.945 * [backup-simplify]: Simplify (+ (* -2 (- (* 1/8 J))) (+ (* 0 0) (* 0 J))) into (* 1/4 J) 49.945 * [taylor]: Taking taylor expansion of (* 1/4 J) in J 49.945 * [taylor]: Taking taylor expansion of 1/4 in J 49.945 * [backup-simplify]: Simplify 1/4 into 1/4 49.945 * [taylor]: Taking taylor expansion of J in J 49.945 * [backup-simplify]: Simplify 0 into 0 49.945 * [backup-simplify]: Simplify 1 into 1 49.945 * [backup-simplify]: Simplify 0 into 0 49.945 * [backup-simplify]: Simplify 0 into 0 49.946 * [backup-simplify]: Simplify (+ (* -2 1) (* 0 0)) into -2 49.946 * [backup-simplify]: Simplify -2 into -2 49.947 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 49.947 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 49.948 * [backup-simplify]: Simplify (+ 0) into 0 49.948 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 49.949 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 49.949 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.950 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 49.950 * [backup-simplify]: Simplify (- 0) into 0 49.951 * [backup-simplify]: Simplify (+ 0 0) into 0 49.951 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 49.951 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 49.951 * [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 49.956 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 49.956 * [backup-simplify]: Simplify (+ 0 0) into 0 49.957 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 49.958 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 49.959 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 49.960 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 49.962 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 49.962 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 49.963 * [backup-simplify]: Simplify (- 0) into 0 49.963 * [backup-simplify]: Simplify (+ 0 0) into 0 49.964 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 49.965 * [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 49.966 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0 49.966 * [taylor]: Taking taylor expansion of 0 in K 49.966 * [backup-simplify]: Simplify 0 into 0 49.966 * [taylor]: Taking taylor expansion of 0 in J 49.966 * [backup-simplify]: Simplify 0 into 0 49.966 * [backup-simplify]: Simplify (+ 0) into 0 49.967 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 49.967 * [backup-simplify]: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 49.967 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 J))) into 0 49.968 * [backup-simplify]: Simplify (- 0) into 0 49.968 * [taylor]: Taking taylor expansion of 0 in J 49.968 * [backup-simplify]: Simplify 0 into 0 49.968 * [taylor]: Taking taylor expansion of 0 in J 49.968 * [backup-simplify]: Simplify 0 into 0 49.969 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 49.970 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 49.971 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0 49.972 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (- (* 1/8 J))) (+ (* 0 0) (* 0 J)))) into 0 49.972 * [taylor]: Taking taylor expansion of 0 in J 49.972 * [backup-simplify]: Simplify 0 into 0 49.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 49.974 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 49.974 * [backup-simplify]: Simplify (- 0) into 0 49.974 * [backup-simplify]: Simplify 0 into 0 49.974 * [backup-simplify]: Simplify 0 into 0 49.975 * [backup-simplify]: Simplify (* 1/4 0) into 0 49.975 * [backup-simplify]: Simplify 0 into 0 49.975 * [backup-simplify]: Simplify 0 into 0 49.975 * [backup-simplify]: Simplify 0 into 0 49.976 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0 49.976 * [backup-simplify]: Simplify 0 into 0 49.977 * [backup-simplify]: Simplify (+ (* -2 (* J (* 1 1))) (* -1/4 (* (/ 1 J) (* 1 (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 49.978 * [backup-simplify]: Simplify (* (* (sqrt (+ (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) 1)) -2) (* (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2)))) (* (cbrt (cos (/ (/ 1 K) 2))) (/ 1 J)))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) 49.978 * [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 49.978 * [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 49.978 * [taylor]: Taking taylor expansion of -2 in J 49.978 * [backup-simplify]: Simplify -2 into -2 49.978 * [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 49.978 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 49.978 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 49.978 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 49.978 * [taylor]: Taking taylor expansion of 1/4 in J 49.978 * [backup-simplify]: Simplify 1/4 into 1/4 49.978 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 49.978 * [taylor]: Taking taylor expansion of (pow J 2) in J 49.978 * [taylor]: Taking taylor expansion of J in J 49.978 * [backup-simplify]: Simplify 0 into 0 49.978 * [backup-simplify]: Simplify 1 into 1 49.978 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 49.978 * [taylor]: Taking taylor expansion of (pow U 2) in J 49.978 * [taylor]: Taking taylor expansion of U in J 49.978 * [backup-simplify]: Simplify U into U 49.978 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 49.978 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 49.978 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 49.978 * [taylor]: Taking taylor expansion of 1/2 in J 49.978 * [backup-simplify]: Simplify 1/2 into 1/2 49.978 * [taylor]: Taking taylor expansion of K in J 49.978 * [backup-simplify]: Simplify K into K 49.978 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 49.978 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 49.979 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 49.979 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 49.979 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 49.979 * [backup-simplify]: Simplify (- 0) into 0 49.980 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 49.980 * [backup-simplify]: Simplify (* 1 1) into 1 49.980 * [backup-simplify]: Simplify (* U U) into (pow U 2) 49.980 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 49.980 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 49.981 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 49.981 * [taylor]: Taking taylor expansion of 1 in J 49.981 * [backup-simplify]: Simplify 1 into 1 49.981 * [backup-simplify]: Simplify (+ 0 1) into 1 49.981 * [backup-simplify]: Simplify (sqrt 1) into 1 49.982 * [backup-simplify]: Simplify (+ 0 0) into 0 49.982 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 49.983 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 49.983 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 49.983 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 49.983 * [taylor]: Taking taylor expansion of 1/2 in J 49.983 * [backup-simplify]: Simplify 1/2 into 1/2 49.983 * [taylor]: Taking taylor expansion of K in J 49.983 * [backup-simplify]: Simplify K into K 49.983 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 49.983 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 49.983 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 49.983 * [taylor]: Taking taylor expansion of J in J 49.983 * [backup-simplify]: Simplify 0 into 0 49.983 * [backup-simplify]: Simplify 1 into 1 49.983 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 49.983 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 49.984 * [backup-simplify]: Simplify (- 0) into 0 49.984 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 49.984 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 49.984 * [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 49.984 * [taylor]: Taking taylor expansion of -2 in K 49.984 * [backup-simplify]: Simplify -2 into -2 49.984 * [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 49.984 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 49.984 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 49.984 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 49.984 * [taylor]: Taking taylor expansion of 1/4 in K 49.984 * [backup-simplify]: Simplify 1/4 into 1/4 49.984 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 49.984 * [taylor]: Taking taylor expansion of (pow J 2) in K 49.984 * [taylor]: Taking taylor expansion of J in K 49.984 * [backup-simplify]: Simplify J into J 49.984 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 49.984 * [taylor]: Taking taylor expansion of (pow U 2) in K 49.984 * [taylor]: Taking taylor expansion of U in K 49.984 * [backup-simplify]: Simplify U into U 49.984 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 49.984 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 49.984 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 49.984 * [taylor]: Taking taylor expansion of 1/2 in K 49.984 * [backup-simplify]: Simplify 1/2 into 1/2 49.985 * [taylor]: Taking taylor expansion of K in K 49.985 * [backup-simplify]: Simplify 0 into 0 49.985 * [backup-simplify]: Simplify 1 into 1 49.985 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 49.985 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 49.985 * [backup-simplify]: Simplify (* J J) into (pow J 2) 49.985 * [backup-simplify]: Simplify (* U U) into (pow U 2) 49.985 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 49.986 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 49.986 * [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))) 49.986 * [taylor]: Taking taylor expansion of 1 in K 49.986 * [backup-simplify]: Simplify 1 into 1 49.986 * [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)))) 49.986 * [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) 49.987 * [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)) 49.987 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 49.987 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 49.987 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 49.987 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 49.988 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 49.988 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 49.989 * [backup-simplify]: Simplify (+ 0 0) into 0 49.989 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 49.989 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 49.989 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 49.989 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 49.989 * [taylor]: Taking taylor expansion of 1/2 in K 49.989 * [backup-simplify]: Simplify 1/2 into 1/2 49.989 * [taylor]: Taking taylor expansion of K in K 49.989 * [backup-simplify]: Simplify 0 into 0 49.989 * [backup-simplify]: Simplify 1 into 1 49.989 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 49.989 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 49.989 * [taylor]: Taking taylor expansion of J in K 49.989 * [backup-simplify]: Simplify J into J 49.989 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 49.989 * [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 49.989 * [taylor]: Taking taylor expansion of -2 in U 49.989 * [backup-simplify]: Simplify -2 into -2 49.989 * [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 49.989 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 49.989 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 49.989 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 49.990 * [taylor]: Taking taylor expansion of 1/4 in U 49.990 * [backup-simplify]: Simplify 1/4 into 1/4 49.990 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 49.990 * [taylor]: Taking taylor expansion of (pow J 2) in U 49.990 * [taylor]: Taking taylor expansion of J in U 49.990 * [backup-simplify]: Simplify J into J 49.990 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 49.990 * [taylor]: Taking taylor expansion of (pow U 2) in U 49.990 * [taylor]: Taking taylor expansion of U in U 49.990 * [backup-simplify]: Simplify 0 into 0 49.990 * [backup-simplify]: Simplify 1 into 1 49.990 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 49.990 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 49.990 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 49.990 * [taylor]: Taking taylor expansion of 1/2 in U 49.990 * [backup-simplify]: Simplify 1/2 into 1/2 49.990 * [taylor]: Taking taylor expansion of K in U 49.990 * [backup-simplify]: Simplify K into K 49.990 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 49.990 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 49.990 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 49.990 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 49.990 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 49.990 * [backup-simplify]: Simplify (- 0) into 0 49.990 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 49.990 * [backup-simplify]: Simplify (* J J) into (pow J 2) 49.991 * [backup-simplify]: Simplify (* 1 1) into 1 49.991 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 49.991 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 49.991 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 49.991 * [taylor]: Taking taylor expansion of 1 in U 49.991 * [backup-simplify]: Simplify 1 into 1 49.991 * [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))) 49.991 * [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))) 49.991 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 49.991 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 49.992 * [backup-simplify]: Simplify (+ 0) into 0 49.992 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 49.992 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 49.993 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.993 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 49.993 * [backup-simplify]: Simplify (- 0) into 0 49.994 * [backup-simplify]: Simplify (+ 0 0) into 0 49.994 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 49.994 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 49.994 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 49.995 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 49.995 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 49.995 * [backup-simplify]: Simplify (+ 0 0) into 0 49.996 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 49.996 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 49.996 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 49.996 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 49.996 * [taylor]: Taking taylor expansion of 1/2 in U 49.996 * [backup-simplify]: Simplify 1/2 into 1/2 49.996 * [taylor]: Taking taylor expansion of K in U 49.996 * [backup-simplify]: Simplify K into K 49.996 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 49.996 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 49.996 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 49.996 * [taylor]: Taking taylor expansion of J in U 49.996 * [backup-simplify]: Simplify J into J 49.996 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 49.996 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 49.996 * [backup-simplify]: Simplify (- 0) into 0 49.996 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 49.996 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 49.996 * [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 49.996 * [taylor]: Taking taylor expansion of -2 in U 49.996 * [backup-simplify]: Simplify -2 into -2 49.996 * [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 49.996 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 49.996 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 49.996 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 49.996 * [taylor]: Taking taylor expansion of 1/4 in U 49.996 * [backup-simplify]: Simplify 1/4 into 1/4 49.997 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 49.997 * [taylor]: Taking taylor expansion of (pow J 2) in U 49.997 * [taylor]: Taking taylor expansion of J in U 49.997 * [backup-simplify]: Simplify J into J 49.997 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 49.997 * [taylor]: Taking taylor expansion of (pow U 2) in U 49.997 * [taylor]: Taking taylor expansion of U in U 49.997 * [backup-simplify]: Simplify 0 into 0 49.997 * [backup-simplify]: Simplify 1 into 1 49.997 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 49.997 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 49.997 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 49.997 * [taylor]: Taking taylor expansion of 1/2 in U 49.997 * [backup-simplify]: Simplify 1/2 into 1/2 49.997 * [taylor]: Taking taylor expansion of K in U 49.997 * [backup-simplify]: Simplify K into K 49.997 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 49.997 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 49.997 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 49.997 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 49.997 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 49.997 * [backup-simplify]: Simplify (- 0) into 0 49.997 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 49.997 * [backup-simplify]: Simplify (* J J) into (pow J 2) 49.998 * [backup-simplify]: Simplify (* 1 1) into 1 49.998 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 49.998 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 49.998 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 49.998 * [taylor]: Taking taylor expansion of 1 in U 49.998 * [backup-simplify]: Simplify 1 into 1 49.998 * [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))) 49.998 * [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))) 49.998 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 49.998 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 49.999 * [backup-simplify]: Simplify (+ 0) into 0 49.999 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 49.999 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 49.999 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 50.000 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 50.000 * [backup-simplify]: Simplify (- 0) into 0 50.000 * [backup-simplify]: Simplify (+ 0 0) into 0 50.000 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 50.001 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 50.001 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 50.001 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 50.002 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 50.002 * [backup-simplify]: Simplify (+ 0 0) into 0 50.002 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 50.002 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 50.002 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 50.002 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 50.002 * [taylor]: Taking taylor expansion of 1/2 in U 50.002 * [backup-simplify]: Simplify 1/2 into 1/2 50.002 * [taylor]: Taking taylor expansion of K in U 50.002 * [backup-simplify]: Simplify K into K 50.002 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 50.002 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 50.002 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 50.002 * [taylor]: Taking taylor expansion of J in U 50.003 * [backup-simplify]: Simplify J into J 50.003 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 50.003 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 50.003 * [backup-simplify]: Simplify (- 0) into 0 50.003 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 50.003 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 50.003 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ (cos (/ 1/2 K)) J)) into 1/2 50.003 * [backup-simplify]: Simplify (* -2 1/2) into -1 50.003 * [taylor]: Taking taylor expansion of -1 in K 50.003 * [backup-simplify]: Simplify -1 into -1 50.003 * [taylor]: Taking taylor expansion of -1 in J 50.004 * [backup-simplify]: Simplify -1 into -1 50.004 * [backup-simplify]: Simplify (+ 0) into 0 50.004 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 50.004 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 50.005 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 50.005 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 50.005 * [backup-simplify]: Simplify (- 0) into 0 50.005 * [backup-simplify]: Simplify (+ 0 0) into 0 50.005 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 50.006 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (/ (cos (/ 1/2 K)) J))) into 0 50.006 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0 50.006 * [taylor]: Taking taylor expansion of 0 in K 50.006 * [backup-simplify]: Simplify 0 into 0 50.006 * [taylor]: Taking taylor expansion of 0 in J 50.006 * [backup-simplify]: Simplify 0 into 0 50.006 * [taylor]: Taking taylor expansion of 0 in J 50.006 * [backup-simplify]: Simplify 0 into 0 50.006 * [backup-simplify]: Simplify -1 into -1 50.007 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 50.007 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 50.007 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 50.008 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 50.008 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 50.008 * [backup-simplify]: Simplify (- 0) into 0 50.009 * [backup-simplify]: Simplify (+ 0 0) into 0 50.009 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 50.009 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 50.010 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 50.010 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 50.010 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 50.011 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 50.011 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 50.011 * [backup-simplify]: Simplify (- 0) into 0 50.011 * [backup-simplify]: Simplify (+ 0 0) into 0 50.012 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 50.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 50.013 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 50.013 * [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 50.014 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 50.014 * [backup-simplify]: Simplify (+ 0 1) into 1 50.015 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 50.015 * [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)) 50.016 * [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)))) 50.016 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in K 50.016 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in K 50.016 * [taylor]: Taking taylor expansion of 2 in K 50.016 * [backup-simplify]: Simplify 2 into 2 50.016 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in K 50.016 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 50.016 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 50.016 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 50.016 * [taylor]: Taking taylor expansion of 1/2 in K 50.016 * [backup-simplify]: Simplify 1/2 into 1/2 50.016 * [taylor]: Taking taylor expansion of K in K 50.016 * [backup-simplify]: Simplify 0 into 0 50.016 * [backup-simplify]: Simplify 1 into 1 50.017 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 50.017 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 50.017 * [taylor]: Taking taylor expansion of (pow J 2) in K 50.017 * [taylor]: Taking taylor expansion of J in K 50.017 * [backup-simplify]: Simplify J into J 50.017 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 50.017 * [backup-simplify]: Simplify (* J J) into (pow J 2) 50.017 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 50.018 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) into (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 50.018 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) 50.018 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J 50.018 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J 50.018 * [taylor]: Taking taylor expansion of 2 in J 50.018 * [backup-simplify]: Simplify 2 into 2 50.018 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J 50.018 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 50.018 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 50.018 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 50.018 * [taylor]: Taking taylor expansion of 1/2 in J 50.018 * [backup-simplify]: Simplify 1/2 into 1/2 50.018 * [taylor]: Taking taylor expansion of K in J 50.018 * [backup-simplify]: Simplify K into K 50.018 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 50.018 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 50.018 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 50.019 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 50.019 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 50.019 * [backup-simplify]: Simplify (- 0) into 0 50.019 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 50.019 * [taylor]: Taking taylor expansion of (pow J 2) in J 50.019 * [taylor]: Taking taylor expansion of J in J 50.019 * [backup-simplify]: Simplify 0 into 0 50.019 * [backup-simplify]: Simplify 1 into 1 50.019 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 50.020 * [backup-simplify]: Simplify (* 1 1) into 1 50.020 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 50.020 * [backup-simplify]: Simplify (+ 0) into 0 50.020 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 50.020 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 50.021 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 50.021 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 50.021 * [backup-simplify]: Simplify (- 0) into 0 50.022 * [backup-simplify]: Simplify (+ 0 0) into 0 50.022 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 50.022 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 50.023 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 50.023 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 50.023 * [backup-simplify]: Simplify (- 0) into 0 50.023 * [backup-simplify]: Simplify 0 into 0 50.023 * [taylor]: Taking taylor expansion of 0 in J 50.023 * [backup-simplify]: Simplify 0 into 0 50.023 * [taylor]: Taking taylor expansion of 0 in J 50.023 * [backup-simplify]: Simplify 0 into 0 50.023 * [backup-simplify]: Simplify 0 into 0 50.023 * [backup-simplify]: Simplify 0 into 0 50.023 * [backup-simplify]: Simplify 0 into 0 50.024 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 50.024 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 50.025 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 50.025 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 50.026 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 50.026 * [backup-simplify]: Simplify (- 0) into 0 50.026 * [backup-simplify]: Simplify (+ 0 0) into 0 50.026 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 50.027 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 50.027 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 50.028 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 50.028 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 50.029 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 50.029 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 50.029 * [backup-simplify]: Simplify (- 0) into 0 50.030 * [backup-simplify]: Simplify (+ 0 0) into 0 50.030 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 50.031 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 50.032 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 50.032 * [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 50.033 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 50.033 * [backup-simplify]: Simplify (+ 0 0) into 0 50.033 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 50.034 * [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 50.034 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 50.034 * [taylor]: Taking taylor expansion of 0 in K 50.034 * [backup-simplify]: Simplify 0 into 0 50.034 * [taylor]: Taking taylor expansion of 0 in J 50.034 * [backup-simplify]: Simplify 0 into 0 50.035 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 50.035 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 50.035 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 50.035 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) into 0 50.035 * [backup-simplify]: Simplify (- 0) into 0 50.035 * [taylor]: Taking taylor expansion of 0 in J 50.035 * [backup-simplify]: Simplify 0 into 0 50.035 * [taylor]: Taking taylor expansion of 0 in J 50.035 * [backup-simplify]: Simplify 0 into 0 50.035 * [taylor]: Taking taylor expansion of 0 in J 50.035 * [backup-simplify]: Simplify 0 into 0 50.036 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 50.036 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 50.037 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 50.037 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 50.037 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 50.038 * [backup-simplify]: Simplify (- 0) into 0 50.038 * [backup-simplify]: Simplify (+ 0 0) into 0 50.038 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 50.039 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 50.040 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 50.040 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 50.041 * [backup-simplify]: Simplify (- 0) into 0 50.041 * [backup-simplify]: Simplify 0 into 0 50.041 * [backup-simplify]: Simplify 0 into 0 50.041 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U) 50.041 * [backup-simplify]: Simplify (* (* (sqrt (+ (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) 1)) -2) (* (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2)))) (* (cbrt (cos (/ (/ 1 (- K)) 2))) (/ 1 (- J))))) into (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) 50.042 * [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 50.042 * [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 50.042 * [taylor]: Taking taylor expansion of 2 in J 50.042 * [backup-simplify]: Simplify 2 into 2 50.042 * [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 50.042 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 50.042 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 50.042 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 50.042 * [taylor]: Taking taylor expansion of -1/2 in J 50.042 * [backup-simplify]: Simplify -1/2 into -1/2 50.042 * [taylor]: Taking taylor expansion of K in J 50.042 * [backup-simplify]: Simplify K into K 50.042 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 50.042 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 50.042 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 50.042 * [taylor]: Taking taylor expansion of J in J 50.042 * [backup-simplify]: Simplify 0 into 0 50.042 * [backup-simplify]: Simplify 1 into 1 50.042 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 50.042 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 50.042 * [backup-simplify]: Simplify (- 0) into 0 50.042 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 50.042 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 50.042 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 50.042 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 50.042 * [taylor]: Taking taylor expansion of 1 in J 50.042 * [backup-simplify]: Simplify 1 into 1 50.042 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 50.042 * [taylor]: Taking taylor expansion of 1/4 in J 50.042 * [backup-simplify]: Simplify 1/4 into 1/4 50.042 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 50.043 * [taylor]: Taking taylor expansion of (pow J 2) in J 50.043 * [taylor]: Taking taylor expansion of J in J 50.043 * [backup-simplify]: Simplify 0 into 0 50.043 * [backup-simplify]: Simplify 1 into 1 50.043 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 50.043 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 50.043 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 50.043 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 50.043 * [taylor]: Taking taylor expansion of -1/2 in J 50.043 * [backup-simplify]: Simplify -1/2 into -1/2 50.043 * [taylor]: Taking taylor expansion of K in J 50.043 * [backup-simplify]: Simplify K into K 50.043 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 50.043 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 50.043 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 50.043 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 50.043 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 50.043 * [backup-simplify]: Simplify (- 0) into 0 50.043 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 50.043 * [taylor]: Taking taylor expansion of (pow U 2) in J 50.043 * [taylor]: Taking taylor expansion of U in J 50.043 * [backup-simplify]: Simplify U into U 50.043 * [backup-simplify]: Simplify (* 1 1) into 1 50.044 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 50.044 * [backup-simplify]: Simplify (* U U) into (pow U 2) 50.044 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 50.044 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 50.044 * [backup-simplify]: Simplify (+ 1 0) into 1 50.044 * [backup-simplify]: Simplify (sqrt 1) into 1 50.045 * [backup-simplify]: Simplify (+ 0 0) into 0 50.045 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 50.045 * [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 50.045 * [taylor]: Taking taylor expansion of 2 in K 50.045 * [backup-simplify]: Simplify 2 into 2 50.045 * [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 50.045 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 50.045 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 50.045 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 50.045 * [taylor]: Taking taylor expansion of -1/2 in K 50.045 * [backup-simplify]: Simplify -1/2 into -1/2 50.045 * [taylor]: Taking taylor expansion of K in K 50.045 * [backup-simplify]: Simplify 0 into 0 50.045 * [backup-simplify]: Simplify 1 into 1 50.045 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 50.045 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 50.045 * [taylor]: Taking taylor expansion of J in K 50.046 * [backup-simplify]: Simplify J into J 50.046 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 50.046 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 50.046 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 50.046 * [taylor]: Taking taylor expansion of 1 in K 50.046 * [backup-simplify]: Simplify 1 into 1 50.046 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 50.046 * [taylor]: Taking taylor expansion of 1/4 in K 50.046 * [backup-simplify]: Simplify 1/4 into 1/4 50.046 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 50.046 * [taylor]: Taking taylor expansion of (pow J 2) in K 50.046 * [taylor]: Taking taylor expansion of J in K 50.046 * [backup-simplify]: Simplify J into J 50.046 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 50.046 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 50.046 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 50.046 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 50.046 * [taylor]: Taking taylor expansion of -1/2 in K 50.046 * [backup-simplify]: Simplify -1/2 into -1/2 50.046 * [taylor]: Taking taylor expansion of K in K 50.046 * [backup-simplify]: Simplify 0 into 0 50.046 * [backup-simplify]: Simplify 1 into 1 50.046 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 50.046 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 50.046 * [taylor]: Taking taylor expansion of (pow U 2) in K 50.046 * [taylor]: Taking taylor expansion of U in K 50.046 * [backup-simplify]: Simplify U into U 50.046 * [backup-simplify]: Simplify (* J J) into (pow J 2) 50.046 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 50.046 * [backup-simplify]: Simplify (* U U) into (pow U 2) 50.046 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 50.047 * [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))) 50.047 * [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)))) 50.047 * [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))))) 50.047 * [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)))))) 50.047 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 50.047 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 50.047 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 50.048 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 50.048 * [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 50.048 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 50.049 * [backup-simplify]: Simplify (+ 0 0) into 0 50.049 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 50.049 * [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 50.049 * [taylor]: Taking taylor expansion of 2 in U 50.049 * [backup-simplify]: Simplify 2 into 2 50.049 * [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 50.049 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 50.049 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 50.049 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 50.049 * [taylor]: Taking taylor expansion of -1/2 in U 50.049 * [backup-simplify]: Simplify -1/2 into -1/2 50.049 * [taylor]: Taking taylor expansion of K in U 50.049 * [backup-simplify]: Simplify K into K 50.049 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 50.049 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 50.049 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 50.049 * [taylor]: Taking taylor expansion of J in U 50.049 * [backup-simplify]: Simplify J into J 50.049 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 50.049 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 50.050 * [backup-simplify]: Simplify (- 0) into 0 50.050 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 50.050 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 50.050 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 50.050 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 50.050 * [taylor]: Taking taylor expansion of 1 in U 50.050 * [backup-simplify]: Simplify 1 into 1 50.050 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 50.050 * [taylor]: Taking taylor expansion of 1/4 in U 50.050 * [backup-simplify]: Simplify 1/4 into 1/4 50.050 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 50.050 * [taylor]: Taking taylor expansion of (pow J 2) in U 50.050 * [taylor]: Taking taylor expansion of J in U 50.050 * [backup-simplify]: Simplify J into J 50.050 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 50.050 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 50.050 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 50.050 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 50.050 * [taylor]: Taking taylor expansion of -1/2 in U 50.050 * [backup-simplify]: Simplify -1/2 into -1/2 50.050 * [taylor]: Taking taylor expansion of K in U 50.050 * [backup-simplify]: Simplify K into K 50.050 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 50.050 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 50.050 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 50.050 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 50.050 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 50.050 * [backup-simplify]: Simplify (- 0) into 0 50.051 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 50.051 * [taylor]: Taking taylor expansion of (pow U 2) in U 50.051 * [taylor]: Taking taylor expansion of U in U 50.051 * [backup-simplify]: Simplify 0 into 0 50.051 * [backup-simplify]: Simplify 1 into 1 50.051 * [backup-simplify]: Simplify (* J J) into (pow J 2) 50.051 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 50.051 * [backup-simplify]: Simplify (* 1 1) into 1 50.051 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 50.051 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 50.051 * [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))) 50.051 * [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))) 50.052 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 50.052 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 50.052 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 50.052 * [backup-simplify]: Simplify (+ 0) into 0 50.053 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 50.053 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 50.053 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 50.053 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 50.054 * [backup-simplify]: Simplify (- 0) into 0 50.054 * [backup-simplify]: Simplify (+ 0 0) into 0 50.054 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 50.054 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 50.054 * [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 50.055 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 50.055 * [backup-simplify]: Simplify (+ 0 0) into 0 50.055 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 50.055 * [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 50.055 * [taylor]: Taking taylor expansion of 2 in U 50.055 * [backup-simplify]: Simplify 2 into 2 50.055 * [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 50.055 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 50.055 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 50.055 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 50.055 * [taylor]: Taking taylor expansion of -1/2 in U 50.055 * [backup-simplify]: Simplify -1/2 into -1/2 50.055 * [taylor]: Taking taylor expansion of K in U 50.055 * [backup-simplify]: Simplify K into K 50.055 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 50.055 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 50.056 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 50.056 * [taylor]: Taking taylor expansion of J in U 50.056 * [backup-simplify]: Simplify J into J 50.056 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 50.056 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 50.056 * [backup-simplify]: Simplify (- 0) into 0 50.056 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 50.056 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 50.056 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 50.056 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 50.056 * [taylor]: Taking taylor expansion of 1 in U 50.056 * [backup-simplify]: Simplify 1 into 1 50.056 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 50.056 * [taylor]: Taking taylor expansion of 1/4 in U 50.056 * [backup-simplify]: Simplify 1/4 into 1/4 50.056 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 50.056 * [taylor]: Taking taylor expansion of (pow J 2) in U 50.056 * [taylor]: Taking taylor expansion of J in U 50.056 * [backup-simplify]: Simplify J into J 50.056 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 50.056 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 50.056 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 50.056 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 50.056 * [taylor]: Taking taylor expansion of -1/2 in U 50.056 * [backup-simplify]: Simplify -1/2 into -1/2 50.056 * [taylor]: Taking taylor expansion of K in U 50.056 * [backup-simplify]: Simplify K into K 50.056 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 50.056 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 50.056 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 50.056 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 50.057 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 50.057 * [backup-simplify]: Simplify (- 0) into 0 50.057 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 50.057 * [taylor]: Taking taylor expansion of (pow U 2) in U 50.057 * [taylor]: Taking taylor expansion of U in U 50.057 * [backup-simplify]: Simplify 0 into 0 50.057 * [backup-simplify]: Simplify 1 into 1 50.057 * [backup-simplify]: Simplify (* J J) into (pow J 2) 50.057 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 50.057 * [backup-simplify]: Simplify (* 1 1) into 1 50.057 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 50.058 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 50.058 * [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))) 50.058 * [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))) 50.058 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 50.058 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 50.058 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 50.059 * [backup-simplify]: Simplify (+ 0) into 0 50.059 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 50.059 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 50.060 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 50.064 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 50.065 * [backup-simplify]: Simplify (- 0) into 0 50.066 * [backup-simplify]: Simplify (+ 0 0) into 0 50.066 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 50.066 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 50.067 * [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 50.068 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 50.068 * [backup-simplify]: Simplify (+ 0 0) into 0 50.068 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 50.068 * [backup-simplify]: Simplify (* (/ (cos (/ -1/2 K)) J) (* 1/2 (/ J (cos (/ -1/2 K))))) into 1/2 50.069 * [backup-simplify]: Simplify (* 2 1/2) into 1 50.069 * [taylor]: Taking taylor expansion of 1 in K 50.069 * [backup-simplify]: Simplify 1 into 1 50.069 * [taylor]: Taking taylor expansion of 1 in J 50.069 * [backup-simplify]: Simplify 1 into 1 50.069 * [backup-simplify]: Simplify (+ 0) into 0 50.070 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 50.070 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 50.071 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 50.071 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 50.072 * [backup-simplify]: Simplify (- 0) into 0 50.072 * [backup-simplify]: Simplify (+ 0 0) into 0 50.072 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0 50.072 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 50.073 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0 50.073 * [taylor]: Taking taylor expansion of 0 in K 50.073 * [backup-simplify]: Simplify 0 into 0 50.073 * [taylor]: Taking taylor expansion of 0 in J 50.073 * [backup-simplify]: Simplify 0 into 0 50.073 * [taylor]: Taking taylor expansion of 0 in J 50.073 * [backup-simplify]: Simplify 0 into 0 50.073 * [backup-simplify]: Simplify 1 into 1 50.074 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 50.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 50.076 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 50.077 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 50.077 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 50.077 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 50.078 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 50.078 * [backup-simplify]: Simplify (- 0) into 0 50.079 * [backup-simplify]: Simplify (+ 0 0) into 0 50.079 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 50.080 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 50.081 * [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 50.082 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 50.082 * [backup-simplify]: Simplify (+ 1 0) into 1 50.083 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 50.084 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 50.085 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 50.085 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 50.086 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 50.086 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 50.087 * [backup-simplify]: Simplify (- 0) into 0 50.087 * [backup-simplify]: Simplify (+ 0 0) into 0 50.087 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 50.088 * [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)) 50.089 * [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))) 50.089 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in K 50.089 * [taylor]: Taking taylor expansion of 2 in K 50.089 * [backup-simplify]: Simplify 2 into 2 50.089 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in K 50.089 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 50.089 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 50.089 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 50.089 * [taylor]: Taking taylor expansion of -1/2 in K 50.089 * [backup-simplify]: Simplify -1/2 into -1/2 50.089 * [taylor]: Taking taylor expansion of K in K 50.089 * [backup-simplify]: Simplify 0 into 0 50.089 * [backup-simplify]: Simplify 1 into 1 50.090 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 50.090 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 50.090 * [taylor]: Taking taylor expansion of (pow J 2) in K 50.090 * [taylor]: Taking taylor expansion of J in K 50.090 * [backup-simplify]: Simplify J into J 50.090 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 50.090 * [backup-simplify]: Simplify (* J J) into (pow J 2) 50.090 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 50.090 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 50.090 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J 50.091 * [taylor]: Taking taylor expansion of 2 in J 50.091 * [backup-simplify]: Simplify 2 into 2 50.091 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J 50.091 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 50.091 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 50.091 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 50.091 * [taylor]: Taking taylor expansion of -1/2 in J 50.091 * [backup-simplify]: Simplify -1/2 into -1/2 50.091 * [taylor]: Taking taylor expansion of K in J 50.091 * [backup-simplify]: Simplify K into K 50.091 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 50.091 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 50.091 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 50.091 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 50.091 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 50.092 * [backup-simplify]: Simplify (- 0) into 0 50.092 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 50.092 * [taylor]: Taking taylor expansion of (pow J 2) in J 50.092 * [taylor]: Taking taylor expansion of J in J 50.092 * [backup-simplify]: Simplify 0 into 0 50.092 * [backup-simplify]: Simplify 1 into 1 50.092 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 50.092 * [backup-simplify]: Simplify (* 1 1) into 1 50.092 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 50.093 * [backup-simplify]: Simplify (+ 0) into 0 50.093 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 50.093 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 50.094 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 50.095 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 50.095 * [backup-simplify]: Simplify (- 0) into 0 50.096 * [backup-simplify]: Simplify (+ 0 0) into 0 50.096 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 50.096 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 50.098 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 50.098 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 50.098 * [backup-simplify]: Simplify 0 into 0 50.098 * [taylor]: Taking taylor expansion of 0 in J 50.098 * [backup-simplify]: Simplify 0 into 0 50.098 * [taylor]: Taking taylor expansion of 0 in J 50.098 * [backup-simplify]: Simplify 0 into 0 50.098 * [backup-simplify]: Simplify 0 into 0 50.098 * [backup-simplify]: Simplify 0 into 0 50.098 * [backup-simplify]: Simplify 0 into 0 50.099 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 50.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 50.101 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 50.102 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 50.102 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 50.104 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 50.105 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 50.105 * [backup-simplify]: Simplify (- 0) into 0 50.105 * [backup-simplify]: Simplify (+ 0 0) into 0 50.106 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 50.107 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 50.108 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 50.109 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 50.110 * [backup-simplify]: Simplify (+ 0 0) into 0 50.110 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 50.111 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 50.112 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 50.112 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 50.114 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 50.114 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 50.115 * [backup-simplify]: Simplify (- 0) into 0 50.115 * [backup-simplify]: Simplify (+ 0 0) into 0 50.116 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 50.116 * [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 50.118 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 50.118 * [taylor]: Taking taylor expansion of 0 in K 50.118 * [backup-simplify]: Simplify 0 into 0 50.118 * [taylor]: Taking taylor expansion of 0 in J 50.118 * [backup-simplify]: Simplify 0 into 0 50.118 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 50.118 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 50.118 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 50.119 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) into 0 50.119 * [taylor]: Taking taylor expansion of 0 in J 50.119 * [backup-simplify]: Simplify 0 into 0 50.119 * [taylor]: Taking taylor expansion of 0 in J 50.119 * [backup-simplify]: Simplify 0 into 0 50.119 * [taylor]: Taking taylor expansion of 0 in J 50.119 * [backup-simplify]: Simplify 0 into 0 50.120 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 50.120 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 50.120 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 50.121 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 50.121 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 50.121 * [backup-simplify]: Simplify (- 0) into 0 50.122 * [backup-simplify]: Simplify (+ 0 0) into 0 50.122 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 50.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 50.123 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 50.124 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0 50.124 * [backup-simplify]: Simplify 0 into 0 50.124 * [backup-simplify]: Simplify 0 into 0 50.124 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U) 50.124 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 50.124 * [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)) 50.124 * [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 50.124 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 50.124 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 50.124 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 50.124 * [taylor]: Taking taylor expansion of 1/4 in J 50.124 * [backup-simplify]: Simplify 1/4 into 1/4 50.124 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 50.124 * [taylor]: Taking taylor expansion of (pow U 2) in J 50.124 * [taylor]: Taking taylor expansion of U in J 50.124 * [backup-simplify]: Simplify U into U 50.124 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 50.124 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 50.124 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 50.124 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 50.124 * [taylor]: Taking taylor expansion of 1/2 in J 50.125 * [backup-simplify]: Simplify 1/2 into 1/2 50.125 * [taylor]: Taking taylor expansion of K in J 50.125 * [backup-simplify]: Simplify K into K 50.125 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 50.125 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 50.125 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 50.125 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 50.125 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 50.125 * [backup-simplify]: Simplify (- 0) into 0 50.125 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 50.125 * [taylor]: Taking taylor expansion of (pow J 2) in J 50.125 * [taylor]: Taking taylor expansion of J in J 50.125 * [backup-simplify]: Simplify 0 into 0 50.125 * [backup-simplify]: Simplify 1 into 1 50.125 * [backup-simplify]: Simplify (* U U) into (pow U 2) 50.125 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 50.126 * [backup-simplify]: Simplify (* 1 1) into 1 50.126 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 50.126 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 50.126 * [taylor]: Taking taylor expansion of 1 in J 50.126 * [backup-simplify]: Simplify 1 into 1 50.126 * [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))) 50.126 * [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))) 50.126 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 50.126 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 50.127 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 50.127 * [backup-simplify]: Simplify (+ 0) into 0 50.127 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 50.128 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 50.128 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 50.128 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 50.128 * [backup-simplify]: Simplify (- 0) into 0 50.129 * [backup-simplify]: Simplify (+ 0 0) into 0 50.129 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 50.129 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 50.129 * [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 50.130 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 50.130 * [backup-simplify]: Simplify (+ 0 0) into 0 50.130 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 50.130 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 50.130 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 50.130 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 50.130 * [taylor]: Taking taylor expansion of 1/4 in K 50.130 * [backup-simplify]: Simplify 1/4 into 1/4 50.130 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 50.130 * [taylor]: Taking taylor expansion of (pow U 2) in K 50.130 * [taylor]: Taking taylor expansion of U in K 50.130 * [backup-simplify]: Simplify U into U 50.130 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 50.130 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 50.130 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 50.130 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 50.130 * [taylor]: Taking taylor expansion of 1/2 in K 50.130 * [backup-simplify]: Simplify 1/2 into 1/2 50.130 * [taylor]: Taking taylor expansion of K in K 50.130 * [backup-simplify]: Simplify 0 into 0 50.130 * [backup-simplify]: Simplify 1 into 1 50.131 * [backup-simplify]: Simplify (* 1/2 0) into 0 50.131 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 50.131 * [taylor]: Taking taylor expansion of (pow J 2) in K 50.131 * [taylor]: Taking taylor expansion of J in K 50.131 * [backup-simplify]: Simplify J into J 50.131 * [backup-simplify]: Simplify (* U U) into (pow U 2) 50.131 * [backup-simplify]: Simplify (* 1 1) into 1 50.132 * [backup-simplify]: Simplify (* J J) into (pow J 2) 50.132 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 50.132 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 50.132 * [taylor]: Taking taylor expansion of 1 in K 50.132 * [backup-simplify]: Simplify 1 into 1 50.132 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 50.132 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 50.132 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 50.132 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 50.132 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 50.132 * [backup-simplify]: Simplify (+ 0) into 0 50.133 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 50.133 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 50.133 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 50.134 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 50.134 * [backup-simplify]: Simplify (+ 0 0) into 0 50.134 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 50.134 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 50.134 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 50.134 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 50.134 * [taylor]: Taking taylor expansion of 1/4 in U 50.134 * [backup-simplify]: Simplify 1/4 into 1/4 50.134 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 50.134 * [taylor]: Taking taylor expansion of (pow U 2) in U 50.134 * [taylor]: Taking taylor expansion of U in U 50.134 * [backup-simplify]: Simplify 0 into 0 50.134 * [backup-simplify]: Simplify 1 into 1 50.134 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 50.134 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 50.134 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 50.134 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 50.134 * [taylor]: Taking taylor expansion of 1/2 in U 50.134 * [backup-simplify]: Simplify 1/2 into 1/2 50.135 * [taylor]: Taking taylor expansion of K in U 50.135 * [backup-simplify]: Simplify K into K 50.135 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 50.135 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 50.135 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 50.135 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 50.135 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 50.135 * [backup-simplify]: Simplify (- 0) into 0 50.135 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 50.135 * [taylor]: Taking taylor expansion of (pow J 2) in U 50.135 * [taylor]: Taking taylor expansion of J in U 50.135 * [backup-simplify]: Simplify J into J 50.135 * [backup-simplify]: Simplify (* 1 1) into 1 50.135 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 50.135 * [backup-simplify]: Simplify (* J J) into (pow J 2) 50.136 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 50.136 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 50.136 * [taylor]: Taking taylor expansion of 1 in U 50.136 * [backup-simplify]: Simplify 1 into 1 50.136 * [backup-simplify]: Simplify (+ 0 1) into 1 50.136 * [backup-simplify]: Simplify (sqrt 1) into 1 50.136 * [backup-simplify]: Simplify (+ 0 0) into 0 50.137 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 50.137 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 50.137 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 50.137 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 50.137 * [taylor]: Taking taylor expansion of 1/4 in U 50.137 * [backup-simplify]: Simplify 1/4 into 1/4 50.137 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 50.137 * [taylor]: Taking taylor expansion of (pow U 2) in U 50.137 * [taylor]: Taking taylor expansion of U in U 50.137 * [backup-simplify]: Simplify 0 into 0 50.137 * [backup-simplify]: Simplify 1 into 1 50.137 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 50.137 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 50.137 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 50.137 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 50.137 * [taylor]: Taking taylor expansion of 1/2 in U 50.137 * [backup-simplify]: Simplify 1/2 into 1/2 50.137 * [taylor]: Taking taylor expansion of K in U 50.137 * [backup-simplify]: Simplify K into K 50.137 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 50.137 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 50.137 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 50.137 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 50.137 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 50.138 * [backup-simplify]: Simplify (- 0) into 0 50.138 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 50.138 * [taylor]: Taking taylor expansion of (pow J 2) in U 50.138 * [taylor]: Taking taylor expansion of J in U 50.138 * [backup-simplify]: Simplify J into J 50.138 * [backup-simplify]: Simplify (* 1 1) into 1 50.138 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 50.138 * [backup-simplify]: Simplify (* J J) into (pow J 2) 50.138 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 50.138 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 50.138 * [taylor]: Taking taylor expansion of 1 in U 50.138 * [backup-simplify]: Simplify 1 into 1 50.139 * [backup-simplify]: Simplify (+ 0 1) into 1 50.139 * [backup-simplify]: Simplify (sqrt 1) into 1 50.139 * [backup-simplify]: Simplify (+ 0 0) into 0 50.139 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 50.140 * [taylor]: Taking taylor expansion of 1 in K 50.140 * [backup-simplify]: Simplify 1 into 1 50.140 * [taylor]: Taking taylor expansion of 1 in J 50.140 * [backup-simplify]: Simplify 1 into 1 50.140 * [taylor]: Taking taylor expansion of 0 in K 50.140 * [backup-simplify]: Simplify 0 into 0 50.140 * [taylor]: Taking taylor expansion of 0 in J 50.140 * [backup-simplify]: Simplify 0 into 0 50.140 * [taylor]: Taking taylor expansion of 0 in J 50.140 * [backup-simplify]: Simplify 0 into 0 50.140 * [backup-simplify]: Simplify 1 into 1 50.140 * [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))) 50.140 * [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)))) 50.141 * [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))) 50.141 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 50.141 * [taylor]: Taking taylor expansion of 1/8 in K 50.141 * [backup-simplify]: Simplify 1/8 into 1/8 50.141 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 50.141 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 50.141 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 50.141 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 50.141 * [taylor]: Taking taylor expansion of 1/2 in K 50.141 * [backup-simplify]: Simplify 1/2 into 1/2 50.141 * [taylor]: Taking taylor expansion of K in K 50.141 * [backup-simplify]: Simplify 0 into 0 50.141 * [backup-simplify]: Simplify 1 into 1 50.141 * [backup-simplify]: Simplify (* 1/2 0) into 0 50.142 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 50.142 * [taylor]: Taking taylor expansion of (pow J 2) in K 50.142 * [taylor]: Taking taylor expansion of J in K 50.142 * [backup-simplify]: Simplify J into J 50.142 * [backup-simplify]: Simplify (* 1 1) into 1 50.142 * [backup-simplify]: Simplify (* J J) into (pow J 2) 50.142 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 50.142 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2)) 50.142 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J 50.142 * [taylor]: Taking taylor expansion of 1/8 in J 50.142 * [backup-simplify]: Simplify 1/8 into 1/8 50.142 * [taylor]: Taking taylor expansion of (pow J 2) in J 50.142 * [taylor]: Taking taylor expansion of J in J 50.142 * [backup-simplify]: Simplify 0 into 0 50.142 * [backup-simplify]: Simplify 1 into 1 50.143 * [backup-simplify]: Simplify (* 1 1) into 1 50.143 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 50.143 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 50.144 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 50.144 * [backup-simplify]: Simplify 0 into 0 50.144 * [taylor]: Taking taylor expansion of 0 in J 50.144 * [backup-simplify]: Simplify 0 into 0 50.144 * [taylor]: Taking taylor expansion of 0 in J 50.144 * [backup-simplify]: Simplify 0 into 0 50.144 * [backup-simplify]: Simplify 0 into 0 50.144 * [backup-simplify]: Simplify 0 into 0 50.144 * [backup-simplify]: Simplify 0 into 0 50.144 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 50.144 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 50.145 * [backup-simplify]: Simplify (+ 0) into 0 50.145 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 50.145 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 50.146 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 50.146 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 50.146 * [backup-simplify]: Simplify (- 0) into 0 50.146 * [backup-simplify]: Simplify (+ 0 0) into 0 50.146 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 50.147 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 50.147 * [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 50.147 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 50.148 * [backup-simplify]: Simplify (+ 0 0) into 0 50.148 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 50.148 * [taylor]: Taking taylor expansion of 0 in K 50.148 * [backup-simplify]: Simplify 0 into 0 50.148 * [taylor]: Taking taylor expansion of 0 in J 50.148 * [backup-simplify]: Simplify 0 into 0 50.149 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 50.149 * [backup-simplify]: Simplify (+ 0) into 0 50.149 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 50.150 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 50.150 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0 50.150 * [taylor]: Taking taylor expansion of 0 in J 50.150 * [backup-simplify]: Simplify 0 into 0 50.150 * [taylor]: Taking taylor expansion of 0 in J 50.150 * [backup-simplify]: Simplify 0 into 0 50.150 * [taylor]: Taking taylor expansion of 0 in J 50.150 * [backup-simplify]: Simplify 0 into 0 50.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 50.152 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 50.152 * [backup-simplify]: Simplify 0 into 0 50.152 * [backup-simplify]: Simplify 0 into 0 50.152 * [backup-simplify]: Simplify 1 into 1 50.153 * [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)) 50.153 * [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 50.153 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 50.153 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 50.153 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 50.153 * [taylor]: Taking taylor expansion of 1/4 in J 50.153 * [backup-simplify]: Simplify 1/4 into 1/4 50.153 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 50.153 * [taylor]: Taking taylor expansion of (pow J 2) in J 50.153 * [taylor]: Taking taylor expansion of J in J 50.153 * [backup-simplify]: Simplify 0 into 0 50.153 * [backup-simplify]: Simplify 1 into 1 50.153 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 50.153 * [taylor]: Taking taylor expansion of (pow U 2) in J 50.153 * [taylor]: Taking taylor expansion of U in J 50.154 * [backup-simplify]: Simplify U into U 50.154 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 50.154 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 50.154 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 50.154 * [taylor]: Taking taylor expansion of 1/2 in J 50.154 * [backup-simplify]: Simplify 1/2 into 1/2 50.154 * [taylor]: Taking taylor expansion of K in J 50.154 * [backup-simplify]: Simplify K into K 50.154 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 50.154 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 50.154 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 50.154 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 50.154 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 50.154 * [backup-simplify]: Simplify (- 0) into 0 50.155 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 50.155 * [backup-simplify]: Simplify (* 1 1) into 1 50.155 * [backup-simplify]: Simplify (* U U) into (pow U 2) 50.155 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 50.155 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 50.156 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 50.156 * [taylor]: Taking taylor expansion of 1 in J 50.156 * [backup-simplify]: Simplify 1 into 1 50.156 * [backup-simplify]: Simplify (+ 0 1) into 1 50.156 * [backup-simplify]: Simplify (sqrt 1) into 1 50.157 * [backup-simplify]: Simplify (+ 0 0) into 0 50.157 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 50.157 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 50.158 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 50.158 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 50.158 * [taylor]: Taking taylor expansion of 1/4 in K 50.158 * [backup-simplify]: Simplify 1/4 into 1/4 50.158 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 50.158 * [taylor]: Taking taylor expansion of (pow J 2) in K 50.158 * [taylor]: Taking taylor expansion of J in K 50.158 * [backup-simplify]: Simplify J into J 50.158 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 50.158 * [taylor]: Taking taylor expansion of (pow U 2) in K 50.158 * [taylor]: Taking taylor expansion of U in K 50.158 * [backup-simplify]: Simplify U into U 50.158 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 50.158 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 50.158 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 50.158 * [taylor]: Taking taylor expansion of 1/2 in K 50.158 * [backup-simplify]: Simplify 1/2 into 1/2 50.158 * [taylor]: Taking taylor expansion of K in K 50.158 * [backup-simplify]: Simplify 0 into 0 50.158 * [backup-simplify]: Simplify 1 into 1 50.158 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 50.159 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 50.159 * [backup-simplify]: Simplify (* J J) into (pow J 2) 50.159 * [backup-simplify]: Simplify (* U U) into (pow U 2) 50.159 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 50.159 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 50.159 * [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))) 50.159 * [taylor]: Taking taylor expansion of 1 in K 50.159 * [backup-simplify]: Simplify 1 into 1 50.159 * [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)))) 50.160 * [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) 50.160 * [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)) 50.160 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 50.160 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 50.161 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 50.161 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 50.161 * [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 50.162 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 50.163 * [backup-simplify]: Simplify (+ 0 0) into 0 50.163 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 50.163 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 50.163 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 50.163 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 50.163 * [taylor]: Taking taylor expansion of 1/4 in U 50.163 * [backup-simplify]: Simplify 1/4 into 1/4 50.163 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 50.163 * [taylor]: Taking taylor expansion of (pow J 2) in U 50.163 * [taylor]: Taking taylor expansion of J in U 50.163 * [backup-simplify]: Simplify J into J 50.163 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 50.163 * [taylor]: Taking taylor expansion of (pow U 2) in U 50.163 * [taylor]: Taking taylor expansion of U in U 50.163 * [backup-simplify]: Simplify 0 into 0 50.163 * [backup-simplify]: Simplify 1 into 1 50.163 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 50.163 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 50.163 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 50.163 * [taylor]: Taking taylor expansion of 1/2 in U 50.163 * [backup-simplify]: Simplify 1/2 into 1/2 50.163 * [taylor]: Taking taylor expansion of K in U 50.163 * [backup-simplify]: Simplify K into K 50.164 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 50.164 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 50.164 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 50.164 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 50.164 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 50.164 * [backup-simplify]: Simplify (- 0) into 0 50.164 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 50.164 * [backup-simplify]: Simplify (* J J) into (pow J 2) 50.164 * [backup-simplify]: Simplify (* 1 1) into 1 50.164 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 50.165 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 50.165 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 50.165 * [taylor]: Taking taylor expansion of 1 in U 50.165 * [backup-simplify]: Simplify 1 into 1 50.165 * [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))) 50.165 * [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))) 50.165 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 50.165 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 50.166 * [backup-simplify]: Simplify (+ 0) into 0 50.166 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 50.166 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 50.167 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 50.167 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 50.167 * [backup-simplify]: Simplify (- 0) into 0 50.167 * [backup-simplify]: Simplify (+ 0 0) into 0 50.167 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 50.168 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 50.168 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 50.168 * [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 50.169 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 50.169 * [backup-simplify]: Simplify (+ 0 0) into 0 50.169 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 50.169 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 50.169 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 50.169 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 50.169 * [taylor]: Taking taylor expansion of 1/4 in U 50.169 * [backup-simplify]: Simplify 1/4 into 1/4 50.169 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 50.169 * [taylor]: Taking taylor expansion of (pow J 2) in U 50.169 * [taylor]: Taking taylor expansion of J in U 50.169 * [backup-simplify]: Simplify J into J 50.170 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 50.170 * [taylor]: Taking taylor expansion of (pow U 2) in U 50.170 * [taylor]: Taking taylor expansion of U in U 50.170 * [backup-simplify]: Simplify 0 into 0 50.170 * [backup-simplify]: Simplify 1 into 1 50.170 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 50.170 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 50.170 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 50.170 * [taylor]: Taking taylor expansion of 1/2 in U 50.170 * [backup-simplify]: Simplify 1/2 into 1/2 50.170 * [taylor]: Taking taylor expansion of K in U 50.170 * [backup-simplify]: Simplify K into K 50.170 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 50.170 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 50.170 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 50.170 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 50.170 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 50.170 * [backup-simplify]: Simplify (- 0) into 0 50.170 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 50.170 * [backup-simplify]: Simplify (* J J) into (pow J 2) 50.170 * [backup-simplify]: Simplify (* 1 1) into 1 50.171 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 50.171 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 50.171 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 50.171 * [taylor]: Taking taylor expansion of 1 in U 50.171 * [backup-simplify]: Simplify 1 into 1 50.171 * [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))) 50.171 * [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))) 50.171 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 50.171 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 50.172 * [backup-simplify]: Simplify (+ 0) into 0 50.172 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 50.172 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 50.172 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 50.173 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 50.173 * [backup-simplify]: Simplify (- 0) into 0 50.173 * [backup-simplify]: Simplify (+ 0 0) into 0 50.173 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 50.174 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 50.174 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 50.174 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 50.174 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 50.175 * [backup-simplify]: Simplify (+ 0 0) into 0 50.175 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 50.175 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K 50.175 * [taylor]: Taking taylor expansion of 1/2 in K 50.175 * [backup-simplify]: Simplify 1/2 into 1/2 50.175 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K 50.175 * [taylor]: Taking taylor expansion of J in K 50.175 * [backup-simplify]: Simplify J into J 50.175 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 50.175 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 50.175 * [taylor]: Taking taylor expansion of 1/2 in K 50.175 * [backup-simplify]: Simplify 1/2 into 1/2 50.175 * [taylor]: Taking taylor expansion of K in K 50.175 * [backup-simplify]: Simplify 0 into 0 50.175 * [backup-simplify]: Simplify 1 into 1 50.175 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 50.175 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 50.176 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 50.176 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 50.176 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 50.176 * [taylor]: Taking taylor expansion of 1/2 in J 50.176 * [backup-simplify]: Simplify 1/2 into 1/2 50.176 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 50.176 * [taylor]: Taking taylor expansion of J in J 50.176 * [backup-simplify]: Simplify 0 into 0 50.176 * [backup-simplify]: Simplify 1 into 1 50.176 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 50.176 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 50.176 * [taylor]: Taking taylor expansion of 1/2 in J 50.176 * [backup-simplify]: Simplify 1/2 into 1/2 50.176 * [taylor]: Taking taylor expansion of K in J 50.176 * [backup-simplify]: Simplify K into K 50.176 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 50.176 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 50.176 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 50.176 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 50.176 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 50.176 * [backup-simplify]: Simplify (- 0) into 0 50.176 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 50.176 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 50.176 * [taylor]: Taking taylor expansion of 0 in K 50.176 * [backup-simplify]: Simplify 0 into 0 50.176 * [taylor]: Taking taylor expansion of 0 in J 50.176 * [backup-simplify]: Simplify 0 into 0 50.176 * [backup-simplify]: Simplify 0 into 0 50.177 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 50.177 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 50.177 * [taylor]: Taking taylor expansion of 0 in J 50.177 * [backup-simplify]: Simplify 0 into 0 50.177 * [backup-simplify]: Simplify 0 into 0 50.177 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 50.177 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 50.177 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 50.178 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 50.178 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 50.178 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 50.179 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 50.179 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 50.180 * [backup-simplify]: Simplify (- 0) into 0 50.180 * [backup-simplify]: Simplify (+ 0 0) into 0 50.180 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 50.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 50.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 50.182 * [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 50.182 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 50.183 * [backup-simplify]: Simplify (+ 0 1) into 1 50.186 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 50.186 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 50.186 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 50.186 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 50.186 * [taylor]: Taking taylor expansion of 1/2 in K 50.186 * [backup-simplify]: Simplify 1/2 into 1/2 50.186 * [taylor]: Taking taylor expansion of K in K 50.186 * [backup-simplify]: Simplify 0 into 0 50.186 * [backup-simplify]: Simplify 1 into 1 50.187 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 50.187 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 50.187 * [taylor]: Taking taylor expansion of J in K 50.187 * [backup-simplify]: Simplify J into J 50.187 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 50.187 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 50.187 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 50.187 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 50.187 * [taylor]: Taking taylor expansion of 1/2 in J 50.187 * [backup-simplify]: Simplify 1/2 into 1/2 50.187 * [taylor]: Taking taylor expansion of K in J 50.187 * [backup-simplify]: Simplify K into K 50.187 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 50.187 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 50.187 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 50.187 * [taylor]: Taking taylor expansion of J in J 50.187 * [backup-simplify]: Simplify 0 into 0 50.187 * [backup-simplify]: Simplify 1 into 1 50.187 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 50.187 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 50.188 * [backup-simplify]: Simplify (- 0) into 0 50.188 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 50.188 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 50.188 * [backup-simplify]: Simplify (+ 0) into 0 50.188 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 50.189 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 50.189 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 50.189 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 50.189 * [backup-simplify]: Simplify (- 0) into 0 50.190 * [backup-simplify]: Simplify (+ 0 0) into 0 50.190 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 50.190 * [backup-simplify]: Simplify 0 into 0 50.190 * [taylor]: Taking taylor expansion of 0 in J 50.190 * [backup-simplify]: Simplify 0 into 0 50.190 * [backup-simplify]: Simplify 0 into 0 50.191 * [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 50.191 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 50.191 * [taylor]: Taking taylor expansion of 0 in J 50.191 * [backup-simplify]: Simplify 0 into 0 50.191 * [backup-simplify]: Simplify 0 into 0 50.191 * [backup-simplify]: Simplify 0 into 0 50.191 * [backup-simplify]: Simplify 0 into 0 50.192 * [backup-simplify]: Simplify (+ 0) into 0 50.192 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 50.192 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 50.193 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 50.193 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 50.194 * [backup-simplify]: Simplify (- 0) into 0 50.194 * [backup-simplify]: Simplify (+ 0 0) into 0 50.194 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 50.195 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 50.195 * [backup-simplify]: Simplify 0 into 0 50.195 * [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))) 50.196 * [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)))))) 50.196 * [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 50.196 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 50.196 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 50.196 * [taylor]: Taking taylor expansion of 1 in J 50.196 * [backup-simplify]: Simplify 1 into 1 50.196 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 50.196 * [taylor]: Taking taylor expansion of 1/4 in J 50.196 * [backup-simplify]: Simplify 1/4 into 1/4 50.196 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 50.196 * [taylor]: Taking taylor expansion of (pow J 2) in J 50.196 * [taylor]: Taking taylor expansion of J in J 50.196 * [backup-simplify]: Simplify 0 into 0 50.196 * [backup-simplify]: Simplify 1 into 1 50.196 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 50.196 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 50.196 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 50.197 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 50.197 * [taylor]: Taking taylor expansion of -1/2 in J 50.197 * [backup-simplify]: Simplify -1/2 into -1/2 50.197 * [taylor]: Taking taylor expansion of K in J 50.197 * [backup-simplify]: Simplify K into K 50.197 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 50.197 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 50.197 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 50.197 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 50.197 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 50.197 * [backup-simplify]: Simplify (- 0) into 0 50.197 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 50.198 * [taylor]: Taking taylor expansion of (pow U 2) in J 50.198 * [taylor]: Taking taylor expansion of U in J 50.198 * [backup-simplify]: Simplify U into U 50.198 * [backup-simplify]: Simplify (* 1 1) into 1 50.198 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 50.198 * [backup-simplify]: Simplify (* U U) into (pow U 2) 50.198 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 50.199 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 50.199 * [backup-simplify]: Simplify (+ 1 0) into 1 50.199 * [backup-simplify]: Simplify (sqrt 1) into 1 50.200 * [backup-simplify]: Simplify (+ 0 0) into 0 50.200 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 50.200 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 50.200 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 50.201 * [taylor]: Taking taylor expansion of 1 in K 50.201 * [backup-simplify]: Simplify 1 into 1 50.201 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 50.201 * [taylor]: Taking taylor expansion of 1/4 in K 50.201 * [backup-simplify]: Simplify 1/4 into 1/4 50.201 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 50.201 * [taylor]: Taking taylor expansion of (pow J 2) in K 50.201 * [taylor]: Taking taylor expansion of J in K 50.201 * [backup-simplify]: Simplify J into J 50.201 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 50.201 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 50.201 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 50.201 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 50.201 * [taylor]: Taking taylor expansion of -1/2 in K 50.201 * [backup-simplify]: Simplify -1/2 into -1/2 50.201 * [taylor]: Taking taylor expansion of K in K 50.201 * [backup-simplify]: Simplify 0 into 0 50.201 * [backup-simplify]: Simplify 1 into 1 50.201 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 50.201 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 50.202 * [taylor]: Taking taylor expansion of (pow U 2) in K 50.202 * [taylor]: Taking taylor expansion of U in K 50.202 * [backup-simplify]: Simplify U into U 50.202 * [backup-simplify]: Simplify (* J J) into (pow J 2) 50.202 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 50.202 * [backup-simplify]: Simplify (* U U) into (pow U 2) 50.202 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 50.202 * [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))) 50.202 * [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)))) 50.203 * [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))))) 50.203 * [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)))))) 50.203 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 50.203 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 50.204 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 50.204 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 50.204 * [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 50.205 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 50.206 * [backup-simplify]: Simplify (+ 0 0) into 0 50.206 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 50.206 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 50.206 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 50.206 * [taylor]: Taking taylor expansion of 1 in U 50.206 * [backup-simplify]: Simplify 1 into 1 50.206 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 50.206 * [taylor]: Taking taylor expansion of 1/4 in U 50.206 * [backup-simplify]: Simplify 1/4 into 1/4 50.206 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 50.206 * [taylor]: Taking taylor expansion of (pow J 2) in U 50.206 * [taylor]: Taking taylor expansion of J in U 50.206 * [backup-simplify]: Simplify J into J 50.206 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 50.207 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 50.207 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 50.207 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 50.207 * [taylor]: Taking taylor expansion of -1/2 in U 50.207 * [backup-simplify]: Simplify -1/2 into -1/2 50.207 * [taylor]: Taking taylor expansion of K in U 50.207 * [backup-simplify]: Simplify K into K 50.207 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 50.207 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 50.207 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 50.207 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 50.207 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 50.207 * [backup-simplify]: Simplify (- 0) into 0 50.208 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 50.208 * [taylor]: Taking taylor expansion of (pow U 2) in U 50.208 * [taylor]: Taking taylor expansion of U in U 50.208 * [backup-simplify]: Simplify 0 into 0 50.208 * [backup-simplify]: Simplify 1 into 1 50.208 * [backup-simplify]: Simplify (* J J) into (pow J 2) 50.208 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 50.208 * [backup-simplify]: Simplify (* 1 1) into 1 50.208 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 50.208 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 50.208 * [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))) 50.208 * [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))) 50.209 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 50.209 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 50.209 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 50.209 * [backup-simplify]: Simplify (+ 0) into 0 50.210 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 50.210 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 50.210 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 50.211 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 50.211 * [backup-simplify]: Simplify (- 0) into 0 50.211 * [backup-simplify]: Simplify (+ 0 0) into 0 50.211 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 50.212 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 50.212 * [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))))) into 0 50.212 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 50.212 * [backup-simplify]: Simplify (+ 0 0) into 0 50.213 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 50.213 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 50.213 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 50.213 * [taylor]: Taking taylor expansion of 1 in U 50.213 * [backup-simplify]: Simplify 1 into 1 50.213 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 50.213 * [taylor]: Taking taylor expansion of 1/4 in U 50.213 * [backup-simplify]: Simplify 1/4 into 1/4 50.213 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 50.213 * [taylor]: Taking taylor expansion of (pow J 2) in U 50.213 * [taylor]: Taking taylor expansion of J in U 50.213 * [backup-simplify]: Simplify J into J 50.213 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 50.213 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 50.213 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 50.213 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 50.213 * [taylor]: Taking taylor expansion of -1/2 in U 50.213 * [backup-simplify]: Simplify -1/2 into -1/2 50.213 * [taylor]: Taking taylor expansion of K in U 50.213 * [backup-simplify]: Simplify K into K 50.213 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 50.213 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 50.213 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 50.213 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 50.213 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 50.213 * [backup-simplify]: Simplify (- 0) into 0 50.213 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 50.213 * [taylor]: Taking taylor expansion of (pow U 2) in U 50.213 * [taylor]: Taking taylor expansion of U in U 50.213 * [backup-simplify]: Simplify 0 into 0 50.213 * [backup-simplify]: Simplify 1 into 1 50.213 * [backup-simplify]: Simplify (* J J) into (pow J 2) 50.214 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 50.214 * [backup-simplify]: Simplify (* 1 1) into 1 50.214 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 50.214 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 50.214 * [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))) 50.214 * [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))) 50.214 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 50.214 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 50.215 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 50.215 * [backup-simplify]: Simplify (+ 0) into 0 50.215 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 50.215 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 50.216 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 50.217 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 50.217 * [backup-simplify]: Simplify (- 0) into 0 50.217 * [backup-simplify]: Simplify (+ 0 0) into 0 50.217 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 50.217 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 50.218 * [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 50.218 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 50.218 * [backup-simplify]: Simplify (+ 0 0) into 0 50.218 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 50.219 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K 50.219 * [taylor]: Taking taylor expansion of 1/2 in K 50.219 * [backup-simplify]: Simplify 1/2 into 1/2 50.219 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K 50.219 * [taylor]: Taking taylor expansion of J in K 50.219 * [backup-simplify]: Simplify J into J 50.219 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 50.219 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 50.219 * [taylor]: Taking taylor expansion of -1/2 in K 50.219 * [backup-simplify]: Simplify -1/2 into -1/2 50.219 * [taylor]: Taking taylor expansion of K in K 50.219 * [backup-simplify]: Simplify 0 into 0 50.219 * [backup-simplify]: Simplify 1 into 1 50.219 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 50.219 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 50.219 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 50.219 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 50.219 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 50.219 * [taylor]: Taking taylor expansion of 1/2 in J 50.219 * [backup-simplify]: Simplify 1/2 into 1/2 50.219 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 50.219 * [taylor]: Taking taylor expansion of J in J 50.219 * [backup-simplify]: Simplify 0 into 0 50.219 * [backup-simplify]: Simplify 1 into 1 50.219 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 50.219 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 50.219 * [taylor]: Taking taylor expansion of -1/2 in J 50.219 * [backup-simplify]: Simplify -1/2 into -1/2 50.219 * [taylor]: Taking taylor expansion of K in J 50.220 * [backup-simplify]: Simplify K into K 50.220 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 50.220 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 50.220 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 50.220 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 50.220 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 50.220 * [backup-simplify]: Simplify (- 0) into 0 50.220 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 50.220 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 50.220 * [taylor]: Taking taylor expansion of 0 in K 50.220 * [backup-simplify]: Simplify 0 into 0 50.220 * [taylor]: Taking taylor expansion of 0 in J 50.220 * [backup-simplify]: Simplify 0 into 0 50.220 * [backup-simplify]: Simplify 0 into 0 50.220 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 50.221 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 50.221 * [taylor]: Taking taylor expansion of 0 in J 50.221 * [backup-simplify]: Simplify 0 into 0 50.221 * [backup-simplify]: Simplify 0 into 0 50.221 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 50.221 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 50.221 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 50.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 50.222 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 50.223 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 50.223 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 50.223 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 50.224 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 50.224 * [backup-simplify]: Simplify (- 0) into 0 50.224 * [backup-simplify]: Simplify (+ 0 0) into 0 50.224 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 50.225 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 50.225 * [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 50.226 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 50.226 * [backup-simplify]: Simplify (+ 1 0) into 1 50.226 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 50.226 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 50.226 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 50.226 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 50.227 * [taylor]: Taking taylor expansion of -1/2 in K 50.227 * [backup-simplify]: Simplify -1/2 into -1/2 50.227 * [taylor]: Taking taylor expansion of K in K 50.227 * [backup-simplify]: Simplify 0 into 0 50.227 * [backup-simplify]: Simplify 1 into 1 50.227 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 50.227 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 50.227 * [taylor]: Taking taylor expansion of J in K 50.227 * [backup-simplify]: Simplify J into J 50.227 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 50.227 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 50.227 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 50.227 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 50.227 * [taylor]: Taking taylor expansion of -1/2 in J 50.227 * [backup-simplify]: Simplify -1/2 into -1/2 50.227 * [taylor]: Taking taylor expansion of K in J 50.227 * [backup-simplify]: Simplify K into K 50.227 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 50.227 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 50.227 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 50.227 * [taylor]: Taking taylor expansion of J in J 50.227 * [backup-simplify]: Simplify 0 into 0 50.227 * [backup-simplify]: Simplify 1 into 1 50.227 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 50.227 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 50.228 * [backup-simplify]: Simplify (- 0) into 0 50.228 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 50.228 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 50.228 * [backup-simplify]: Simplify (+ 0) into 0 50.228 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 50.228 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 50.229 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 50.229 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 50.229 * [backup-simplify]: Simplify (- 0) into 0 50.230 * [backup-simplify]: Simplify (+ 0 0) into 0 50.230 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 50.230 * [backup-simplify]: Simplify 0 into 0 50.230 * [taylor]: Taking taylor expansion of 0 in J 50.230 * [backup-simplify]: Simplify 0 into 0 50.230 * [backup-simplify]: Simplify 0 into 0 50.230 * [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 50.231 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 50.231 * [taylor]: Taking taylor expansion of 0 in J 50.231 * [backup-simplify]: Simplify 0 into 0 50.231 * [backup-simplify]: Simplify 0 into 0 50.231 * [backup-simplify]: Simplify 0 into 0 50.231 * [backup-simplify]: Simplify 0 into 0 50.231 * [backup-simplify]: Simplify (+ 0) into 0 50.232 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 50.232 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 50.232 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 50.232 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 50.233 * [backup-simplify]: Simplify (- 0) into 0 50.233 * [backup-simplify]: Simplify (+ 0 0) into 0 50.233 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 50.233 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 50.233 * [backup-simplify]: Simplify 0 into 0 50.233 * [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))) 50.234 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1) 50.234 * [backup-simplify]: Simplify (cbrt (cos (/ K 2))) into (pow (cos (* 1/2 K)) 1/3) 50.234 * [approximate]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in (K) around 0 50.234 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in K 50.234 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (* 1/2 K))))) in K 50.234 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (* 1/2 K)))) in K 50.234 * [taylor]: Taking taylor expansion of 1/3 in K 50.234 * [backup-simplify]: Simplify 1/3 into 1/3 50.234 * [taylor]: Taking taylor expansion of (log (cos (* 1/2 K))) in K 50.234 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 50.234 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 50.234 * [taylor]: Taking taylor expansion of 1/2 in K 50.234 * [backup-simplify]: Simplify 1/2 into 1/2 50.234 * [taylor]: Taking taylor expansion of K in K 50.234 * [backup-simplify]: Simplify 0 into 0 50.234 * [backup-simplify]: Simplify 1 into 1 50.234 * [backup-simplify]: Simplify (* 1/2 0) into 0 50.235 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 50.235 * [backup-simplify]: Simplify (log 1) into 0 50.235 * [backup-simplify]: Simplify (* 1/3 0) into 0 50.235 * [backup-simplify]: Simplify (+ 0) into 0 50.236 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 50.236 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 50.237 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 50.239 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/8 50.239 * [backup-simplify]: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24 50.239 * [backup-simplify]: Simplify (exp 0) into 1 50.239 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in K 50.239 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (* 1/2 K))))) in K 50.239 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (* 1/2 K)))) in K 50.239 * [taylor]: Taking taylor expansion of 1/3 in K 50.239 * [backup-simplify]: Simplify 1/3 into 1/3 50.239 * [taylor]: Taking taylor expansion of (log (cos (* 1/2 K))) in K 50.239 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 50.239 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 50.239 * [taylor]: Taking taylor expansion of 1/2 in K 50.239 * [backup-simplify]: Simplify 1/2 into 1/2 50.239 * [taylor]: Taking taylor expansion of K in K 50.239 * [backup-simplify]: Simplify 0 into 0 50.239 * [backup-simplify]: Simplify 1 into 1 50.240 * [backup-simplify]: Simplify (* 1/2 0) into 0 50.241 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 50.241 * [backup-simplify]: Simplify (log 1) into 0 50.241 * [backup-simplify]: Simplify (* 1/3 0) into 0 50.242 * [backup-simplify]: Simplify (+ 0) into 0 50.243 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 50.244 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 50.245 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 50.248 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/8 50.248 * [backup-simplify]: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24 50.249 * [backup-simplify]: Simplify (exp 0) into 1 50.249 * [backup-simplify]: Simplify 1 into 1 50.250 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 50.250 * [backup-simplify]: Simplify 0 into 0 50.252 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1/24 1) 1)))) into -1/24 50.252 * [backup-simplify]: Simplify -1/24 into -1/24 50.253 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 50.254 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 50.259 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 50.261 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 0)))) into 0 50.263 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -1/24 1) 1)) (* (/ (pow 0 1) 1)))) into 0 50.263 * [backup-simplify]: Simplify 0 into 0 50.265 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 50.268 * [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 50.276 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -1/8) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 -1/8) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/384) 1)) (pow 1 1)))) 24) into -1/192 50.276 * [backup-simplify]: Simplify (+ (* 1/3 -1/192) (+ (* 0 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 0))))) into -1/576 50.279 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -1/24 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -1/24 2) 2)) (* (/ (pow -1/576 1) 1)))) into -1/1152 50.279 * [backup-simplify]: Simplify -1/1152 into -1/1152 50.279 * [backup-simplify]: Simplify (+ (* -1/1152 (pow K 4)) (+ (* -1/24 (pow K 2)) 1)) into (- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2)))) 50.279 * [backup-simplify]: Simplify (cbrt (cos (/ (/ 1 K) 2))) into (pow (cos (/ 1/2 K)) 1/3) 50.279 * [approximate]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in (K) around 0 50.279 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in K 50.279 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1/2 K))))) in K 50.279 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1/2 K)))) in K 50.279 * [taylor]: Taking taylor expansion of 1/3 in K 50.279 * [backup-simplify]: Simplify 1/3 into 1/3 50.279 * [taylor]: Taking taylor expansion of (log (cos (/ 1/2 K))) in K 50.279 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 50.279 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 50.279 * [taylor]: Taking taylor expansion of 1/2 in K 50.279 * [backup-simplify]: Simplify 1/2 into 1/2 50.279 * [taylor]: Taking taylor expansion of K in K 50.279 * [backup-simplify]: Simplify 0 into 0 50.280 * [backup-simplify]: Simplify 1 into 1 50.280 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 50.280 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 50.280 * [backup-simplify]: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) 50.280 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K)))) 50.280 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3) 50.280 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in K 50.280 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1/2 K))))) in K 50.280 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1/2 K)))) in K 50.280 * [taylor]: Taking taylor expansion of 1/3 in K 50.280 * [backup-simplify]: Simplify 1/3 into 1/3 50.280 * [taylor]: Taking taylor expansion of (log (cos (/ 1/2 K))) in K 50.280 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 50.280 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 50.280 * [taylor]: Taking taylor expansion of 1/2 in K 50.280 * [backup-simplify]: Simplify 1/2 into 1/2 50.280 * [taylor]: Taking taylor expansion of K in K 50.280 * [backup-simplify]: Simplify 0 into 0 50.280 * [backup-simplify]: Simplify 1 into 1 50.281 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 50.281 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 50.281 * [backup-simplify]: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) 50.281 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K)))) 50.281 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3) 50.281 * [backup-simplify]: Simplify (pow (cos (/ 1/2 K)) 1/3) into (pow (cos (/ 1/2 K)) 1/3) 50.282 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 1) into 0 50.282 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ 1/2 K))))) into 0 50.283 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 50.283 * [backup-simplify]: Simplify 0 into 0 50.284 * [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 50.284 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))) into 0 50.285 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 50.285 * [backup-simplify]: Simplify 0 into 0 50.286 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 6) into 0 50.287 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))) into 0 50.288 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 50.288 * [backup-simplify]: Simplify 0 into 0 50.291 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ 1/2 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 24) into 0 50.292 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))))) into 0 50.293 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 50.293 * [backup-simplify]: Simplify 0 into 0 50.303 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ 1/2 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 120) into 0 50.304 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))))) into 0 50.306 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 50.306 * [backup-simplify]: Simplify 0 into 0 50.314 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ 1/2 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 720) into 0 50.317 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))))))) into 0 50.323 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 50.323 * [backup-simplify]: Simplify 0 into 0 50.323 * [backup-simplify]: Simplify (pow (cos (/ 1/2 (/ 1 K))) 1/3) into (pow (cos (* 1/2 K)) 1/3) 50.323 * [backup-simplify]: Simplify (cbrt (cos (/ (/ 1 (- K)) 2))) into (pow (cos (/ -1/2 K)) 1/3) 50.323 * [approximate]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in (K) around 0 50.323 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in K 50.323 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1/2 K))))) in K 50.323 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1/2 K)))) in K 50.323 * [taylor]: Taking taylor expansion of 1/3 in K 50.323 * [backup-simplify]: Simplify 1/3 into 1/3 50.323 * [taylor]: Taking taylor expansion of (log (cos (/ -1/2 K))) in K 50.323 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 50.324 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 50.324 * [taylor]: Taking taylor expansion of -1/2 in K 50.324 * [backup-simplify]: Simplify -1/2 into -1/2 50.324 * [taylor]: Taking taylor expansion of K in K 50.324 * [backup-simplify]: Simplify 0 into 0 50.324 * [backup-simplify]: Simplify 1 into 1 50.324 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 50.324 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 50.324 * [backup-simplify]: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) 50.324 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K)))) 50.325 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3) 50.325 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in K 50.325 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1/2 K))))) in K 50.325 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1/2 K)))) in K 50.325 * [taylor]: Taking taylor expansion of 1/3 in K 50.325 * [backup-simplify]: Simplify 1/3 into 1/3 50.325 * [taylor]: Taking taylor expansion of (log (cos (/ -1/2 K))) in K 50.325 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 50.325 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 50.325 * [taylor]: Taking taylor expansion of -1/2 in K 50.325 * [backup-simplify]: Simplify -1/2 into -1/2 50.325 * [taylor]: Taking taylor expansion of K in K 50.325 * [backup-simplify]: Simplify 0 into 0 50.325 * [backup-simplify]: Simplify 1 into 1 50.325 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 50.325 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 50.325 * [backup-simplify]: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) 50.326 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K)))) 50.326 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3) 50.326 * [backup-simplify]: Simplify (pow (cos (/ -1/2 K)) 1/3) into (pow (cos (/ -1/2 K)) 1/3) 50.327 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 1) into 0 50.327 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ -1/2 K))))) into 0 50.328 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 50.328 * [backup-simplify]: Simplify 0 into 0 50.330 * [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 50.331 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))) into 0 50.332 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 50.332 * [backup-simplify]: Simplify 0 into 0 50.335 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 6) into 0 50.336 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))) into 0 50.338 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 50.338 * [backup-simplify]: Simplify 0 into 0 50.343 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ -1/2 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 24) into 0 50.345 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))))) into 0 50.348 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 50.348 * [backup-simplify]: Simplify 0 into 0 50.356 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ -1/2 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 120) into 0 50.358 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))))) into 0 50.362 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 50.362 * [backup-simplify]: Simplify 0 into 0 50.374 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ -1/2 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 720) into 0 50.376 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))))))) into 0 50.383 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 50.383 * [backup-simplify]: Simplify 0 into 0 50.383 * [backup-simplify]: Simplify (pow (cos (/ -1/2 (/ 1 (- K)))) 1/3) into (pow (cos (* 1/2 K)) 1/3) 50.383 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 50.383 * [backup-simplify]: Simplify (cbrt (cos (/ K 2))) into (pow (cos (* 1/2 K)) 1/3) 50.383 * [approximate]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in (K) around 0 50.383 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in K 50.383 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (* 1/2 K))))) in K 50.383 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (* 1/2 K)))) in K 50.383 * [taylor]: Taking taylor expansion of 1/3 in K 50.383 * [backup-simplify]: Simplify 1/3 into 1/3 50.383 * [taylor]: Taking taylor expansion of (log (cos (* 1/2 K))) in K 50.383 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 50.383 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 50.383 * [taylor]: Taking taylor expansion of 1/2 in K 50.383 * [backup-simplify]: Simplify 1/2 into 1/2 50.383 * [taylor]: Taking taylor expansion of K in K 50.384 * [backup-simplify]: Simplify 0 into 0 50.384 * [backup-simplify]: Simplify 1 into 1 50.384 * [backup-simplify]: Simplify (* 1/2 0) into 0 50.385 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 50.385 * [backup-simplify]: Simplify (log 1) into 0 50.386 * [backup-simplify]: Simplify (* 1/3 0) into 0 50.386 * [backup-simplify]: Simplify (+ 0) into 0 50.387 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 50.388 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 50.389 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 50.392 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/8 50.393 * [backup-simplify]: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24 50.393 * [backup-simplify]: Simplify (exp 0) into 1 50.393 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in K 50.393 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (* 1/2 K))))) in K 50.393 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (* 1/2 K)))) in K 50.393 * [taylor]: Taking taylor expansion of 1/3 in K 50.393 * [backup-simplify]: Simplify 1/3 into 1/3 50.393 * [taylor]: Taking taylor expansion of (log (cos (* 1/2 K))) in K 50.393 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 50.393 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 50.393 * [taylor]: Taking taylor expansion of 1/2 in K 50.393 * [backup-simplify]: Simplify 1/2 into 1/2 50.393 * [taylor]: Taking taylor expansion of K in K 50.393 * [backup-simplify]: Simplify 0 into 0 50.393 * [backup-simplify]: Simplify 1 into 1 50.394 * [backup-simplify]: Simplify (* 1/2 0) into 0 50.395 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 50.395 * [backup-simplify]: Simplify (log 1) into 0 50.395 * [backup-simplify]: Simplify (* 1/3 0) into 0 50.396 * [backup-simplify]: Simplify (+ 0) into 0 50.397 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 50.398 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 50.399 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 50.402 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/8 50.403 * [backup-simplify]: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24 50.403 * [backup-simplify]: Simplify (exp 0) into 1 50.403 * [backup-simplify]: Simplify 1 into 1 50.404 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 50.404 * [backup-simplify]: Simplify 0 into 0 50.406 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1/24 1) 1)))) into -1/24 50.406 * [backup-simplify]: Simplify -1/24 into -1/24 50.407 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 50.408 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 50.411 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 50.412 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 0)))) into 0 50.413 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -1/24 1) 1)) (* (/ (pow 0 1) 1)))) into 0 50.413 * [backup-simplify]: Simplify 0 into 0 50.414 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 50.415 * [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 50.422 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -1/8) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 -1/8) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/384) 1)) (pow 1 1)))) 24) into -1/192 50.422 * [backup-simplify]: Simplify (+ (* 1/3 -1/192) (+ (* 0 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 0))))) into -1/576 50.430 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -1/24 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -1/24 2) 2)) (* (/ (pow -1/576 1) 1)))) into -1/1152 50.430 * [backup-simplify]: Simplify -1/1152 into -1/1152 50.431 * [backup-simplify]: Simplify (+ (* -1/1152 (pow K 4)) (+ (* -1/24 (pow K 2)) 1)) into (- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2)))) 50.431 * [backup-simplify]: Simplify (cbrt (cos (/ (/ 1 K) 2))) into (pow (cos (/ 1/2 K)) 1/3) 50.431 * [approximate]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in (K) around 0 50.431 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in K 50.431 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1/2 K))))) in K 50.431 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1/2 K)))) in K 50.431 * [taylor]: Taking taylor expansion of 1/3 in K 50.431 * [backup-simplify]: Simplify 1/3 into 1/3 50.431 * [taylor]: Taking taylor expansion of (log (cos (/ 1/2 K))) in K 50.431 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 50.431 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 50.431 * [taylor]: Taking taylor expansion of 1/2 in K 50.431 * [backup-simplify]: Simplify 1/2 into 1/2 50.431 * [taylor]: Taking taylor expansion of K in K 50.431 * [backup-simplify]: Simplify 0 into 0 50.431 * [backup-simplify]: Simplify 1 into 1 50.431 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 50.431 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 50.431 * [backup-simplify]: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) 50.431 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K)))) 50.432 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3) 50.432 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in K 50.432 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1/2 K))))) in K 50.432 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1/2 K)))) in K 50.432 * [taylor]: Taking taylor expansion of 1/3 in K 50.432 * [backup-simplify]: Simplify 1/3 into 1/3 50.432 * [taylor]: Taking taylor expansion of (log (cos (/ 1/2 K))) in K 50.432 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 50.432 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 50.432 * [taylor]: Taking taylor expansion of 1/2 in K 50.432 * [backup-simplify]: Simplify 1/2 into 1/2 50.432 * [taylor]: Taking taylor expansion of K in K 50.432 * [backup-simplify]: Simplify 0 into 0 50.432 * [backup-simplify]: Simplify 1 into 1 50.432 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 50.432 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 50.432 * [backup-simplify]: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) 50.432 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K)))) 50.432 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3) 50.432 * [backup-simplify]: Simplify (pow (cos (/ 1/2 K)) 1/3) into (pow (cos (/ 1/2 K)) 1/3) 50.433 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 1) into 0 50.433 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ 1/2 K))))) into 0 50.434 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 50.434 * [backup-simplify]: Simplify 0 into 0 50.435 * [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 50.435 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))) into 0 50.436 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 50.436 * [backup-simplify]: Simplify 0 into 0 50.438 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 6) into 0 50.438 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))) into 0 50.439 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 50.439 * [backup-simplify]: Simplify 0 into 0 50.442 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ 1/2 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 24) into 0 50.443 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))))) into 0 50.446 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 50.446 * [backup-simplify]: Simplify 0 into 0 50.453 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ 1/2 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 120) into 0 50.455 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))))) into 0 50.459 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 50.459 * [backup-simplify]: Simplify 0 into 0 50.472 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ 1/2 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 720) into 0 50.474 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))))))) into 0 50.480 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 50.480 * [backup-simplify]: Simplify 0 into 0 50.480 * [backup-simplify]: Simplify (pow (cos (/ 1/2 (/ 1 K))) 1/3) into (pow (cos (* 1/2 K)) 1/3) 50.480 * [backup-simplify]: Simplify (cbrt (cos (/ (/ 1 (- K)) 2))) into (pow (cos (/ -1/2 K)) 1/3) 50.480 * [approximate]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in (K) around 0 50.480 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in K 50.480 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1/2 K))))) in K 50.480 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1/2 K)))) in K 50.480 * [taylor]: Taking taylor expansion of 1/3 in K 50.480 * [backup-simplify]: Simplify 1/3 into 1/3 50.481 * [taylor]: Taking taylor expansion of (log (cos (/ -1/2 K))) in K 50.481 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 50.481 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 50.481 * [taylor]: Taking taylor expansion of -1/2 in K 50.481 * [backup-simplify]: Simplify -1/2 into -1/2 50.481 * [taylor]: Taking taylor expansion of K in K 50.481 * [backup-simplify]: Simplify 0 into 0 50.481 * [backup-simplify]: Simplify 1 into 1 50.481 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 50.481 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 50.481 * [backup-simplify]: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) 50.481 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K)))) 50.482 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3) 50.482 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in K 50.482 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1/2 K))))) in K 50.482 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1/2 K)))) in K 50.482 * [taylor]: Taking taylor expansion of 1/3 in K 50.482 * [backup-simplify]: Simplify 1/3 into 1/3 50.482 * [taylor]: Taking taylor expansion of (log (cos (/ -1/2 K))) in K 50.482 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 50.482 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 50.482 * [taylor]: Taking taylor expansion of -1/2 in K 50.482 * [backup-simplify]: Simplify -1/2 into -1/2 50.482 * [taylor]: Taking taylor expansion of K in K 50.482 * [backup-simplify]: Simplify 0 into 0 50.482 * [backup-simplify]: Simplify 1 into 1 50.482 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 50.482 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 50.483 * [backup-simplify]: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) 50.483 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K)))) 50.483 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3) 50.483 * [backup-simplify]: Simplify (pow (cos (/ -1/2 K)) 1/3) into (pow (cos (/ -1/2 K)) 1/3) 50.484 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 1) into 0 50.484 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ -1/2 K))))) into 0 50.484 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 50.484 * [backup-simplify]: Simplify 0 into 0 50.485 * [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 50.486 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))) into 0 50.487 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 50.487 * [backup-simplify]: Simplify 0 into 0 50.489 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 6) into 0 50.489 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))) into 0 50.490 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 50.490 * [backup-simplify]: Simplify 0 into 0 50.493 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ -1/2 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 24) into 0 50.494 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))))) into 0 50.495 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 50.496 * [backup-simplify]: Simplify 0 into 0 50.500 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ -1/2 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 120) into 0 50.501 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))))) into 0 50.503 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 50.503 * [backup-simplify]: Simplify 0 into 0 50.510 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ -1/2 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 720) into 0 50.511 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))))))) into 0 50.516 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 50.517 * [backup-simplify]: Simplify 0 into 0 50.517 * [backup-simplify]: Simplify (pow (cos (/ -1/2 (/ 1 (- K)))) 1/3) into (pow (cos (* 1/2 K)) 1/3) 50.517 * * * [progress]: simplifying candidates 50.517 * * * * [progress]: [ 1 / 95 ] simplifiying candidate # 50.517 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))) 50.517 * * [simplify]: iters left: 6 (20 enodes) 50.528 * * [simplify]: iters left: 5 (85 enodes) 50.564 * * [simplify]: iters left: 4 (190 enodes) 50.649 * * [simplify]: Extracting #0: cost 1 inf + 0 50.649 * * [simplify]: Extracting #1: cost 25 inf + 0 50.650 * * [simplify]: Extracting #2: cost 65 inf + 2 50.650 * * [simplify]: Extracting #3: cost 69 inf + 87 50.650 * * [simplify]: Extracting #4: cost 123 inf + 88 50.651 * * [simplify]: Extracting #5: cost 176 inf + 1133 50.655 * * [simplify]: Extracting #6: cost 68 inf + 26585 50.665 * * [simplify]: Extracting #7: cost 9 inf + 46633 50.684 * * [simplify]: Extracting #8: cost 0 inf + 51020 50.701 * [simplify]: Simplified to (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 50.701 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 1)) 50.702 * * * * [progress]: [ 2 / 95 ] simplifiying candidate # 50.702 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))) 50.702 * * [simplify]: iters left: 6 (20 enodes) 50.708 * * [simplify]: iters left: 5 (85 enodes) 50.723 * * [simplify]: iters left: 4 (190 enodes) 50.790 * * [simplify]: Extracting #0: cost 1 inf + 0 50.790 * * [simplify]: Extracting #1: cost 25 inf + 0 50.791 * * [simplify]: Extracting #2: cost 65 inf + 2 50.791 * * [simplify]: Extracting #3: cost 69 inf + 87 50.791 * * [simplify]: Extracting #4: cost 123 inf + 88 50.792 * * [simplify]: Extracting #5: cost 176 inf + 1133 50.796 * * [simplify]: Extracting #6: cost 68 inf + 26585 50.808 * * [simplify]: Extracting #7: cost 9 inf + 46633 50.833 * * [simplify]: Extracting #8: cost 0 inf + 51020 50.852 * [simplify]: Simplified to (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 50.852 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 1)) 50.852 * * * * [progress]: [ 3 / 95 ] simplifiying candidate # 50.852 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))) 50.853 * * [simplify]: iters left: 6 (20 enodes) 50.858 * * [simplify]: iters left: 5 (85 enodes) 50.877 * * [simplify]: iters left: 4 (190 enodes) 50.947 * * [simplify]: Extracting #0: cost 1 inf + 0 50.947 * * [simplify]: Extracting #1: cost 25 inf + 0 50.947 * * [simplify]: Extracting #2: cost 65 inf + 2 50.947 * * [simplify]: Extracting #3: cost 69 inf + 87 50.948 * * [simplify]: Extracting #4: cost 123 inf + 88 50.948 * * [simplify]: Extracting #5: cost 176 inf + 1133 50.952 * * [simplify]: Extracting #6: cost 68 inf + 26585 50.970 * * [simplify]: Extracting #7: cost 9 inf + 46633 50.992 * * [simplify]: Extracting #8: cost 0 inf + 51020 51.004 * [simplify]: Simplified to (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 51.004 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 1)) 51.004 * * * * [progress]: [ 4 / 95 ] simplifiying candidate # 51.004 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))) 51.004 * * [simplify]: iters left: 6 (20 enodes) 51.010 * * [simplify]: iters left: 5 (85 enodes) 51.033 * * [simplify]: iters left: 4 (190 enodes) 51.125 * * [simplify]: Extracting #0: cost 1 inf + 0 51.125 * * [simplify]: Extracting #1: cost 25 inf + 0 51.125 * * [simplify]: Extracting #2: cost 65 inf + 2 51.126 * * [simplify]: Extracting #3: cost 69 inf + 87 51.126 * * [simplify]: Extracting #4: cost 123 inf + 88 51.128 * * [simplify]: Extracting #5: cost 176 inf + 1133 51.136 * * [simplify]: Extracting #6: cost 68 inf + 26585 51.156 * * [simplify]: Extracting #7: cost 9 inf + 46633 51.181 * * [simplify]: Extracting #8: cost 0 inf + 51020 51.204 * [simplify]: Simplified to (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 51.205 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 1)) 51.205 * * * * [progress]: [ 5 / 95 ] simplifiying candidate # 51.205 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))) 51.205 * * [simplify]: iters left: 6 (20 enodes) 51.216 * * [simplify]: iters left: 5 (85 enodes) 51.234 * * [simplify]: iters left: 4 (190 enodes) 51.296 * * [simplify]: Extracting #0: cost 1 inf + 0 51.296 * * [simplify]: Extracting #1: cost 25 inf + 0 51.296 * * [simplify]: Extracting #2: cost 65 inf + 2 51.297 * * [simplify]: Extracting #3: cost 69 inf + 87 51.297 * * [simplify]: Extracting #4: cost 123 inf + 88 51.298 * * [simplify]: Extracting #5: cost 176 inf + 1133 51.302 * * [simplify]: Extracting #6: cost 68 inf + 26585 51.317 * * [simplify]: Extracting #7: cost 9 inf + 46633 51.343 * * [simplify]: Extracting #8: cost 0 inf + 51020 51.361 * [simplify]: Simplified to (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 51.361 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 1)) 51.362 * * * * [progress]: [ 6 / 95 ] simplifiying candidate # 51.362 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))) 51.362 * * [simplify]: iters left: 6 (20 enodes) 51.368 * * [simplify]: iters left: 5 (85 enodes) 51.383 * * [simplify]: iters left: 4 (190 enodes) 51.434 * * [simplify]: Extracting #0: cost 1 inf + 0 51.434 * * [simplify]: Extracting #1: cost 25 inf + 0 51.434 * * [simplify]: Extracting #2: cost 65 inf + 2 51.435 * * [simplify]: Extracting #3: cost 69 inf + 87 51.435 * * [simplify]: Extracting #4: cost 123 inf + 88 51.436 * * [simplify]: Extracting #5: cost 176 inf + 1133 51.440 * * [simplify]: Extracting #6: cost 68 inf + 26585 51.450 * * [simplify]: Extracting #7: cost 9 inf + 46633 51.462 * * [simplify]: Extracting #8: cost 0 inf + 51020 51.481 * [simplify]: Simplified to (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 51.481 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 1)) 51.481 * * * * [progress]: [ 7 / 95 ] simplifiying candidate # 51.482 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))) 51.482 * * [simplify]: iters left: 6 (20 enodes) 51.493 * * [simplify]: iters left: 5 (85 enodes) 51.522 * * [simplify]: iters left: 4 (190 enodes) 51.572 * * [simplify]: Extracting #0: cost 1 inf + 0 51.572 * * [simplify]: Extracting #1: cost 25 inf + 0 51.572 * * [simplify]: Extracting #2: cost 65 inf + 2 51.573 * * [simplify]: Extracting #3: cost 69 inf + 87 51.573 * * [simplify]: Extracting #4: cost 123 inf + 88 51.574 * * [simplify]: Extracting #5: cost 176 inf + 1133 51.578 * * [simplify]: Extracting #6: cost 68 inf + 26585 51.589 * * [simplify]: Extracting #7: cost 9 inf + 46633 51.616 * * [simplify]: Extracting #8: cost 0 inf + 51020 51.639 * [simplify]: Simplified to (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 51.639 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 1)) 51.640 * * * * [progress]: [ 8 / 95 ] simplifiying candidate # 51.640 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))) 51.640 * * [simplify]: iters left: 6 (20 enodes) 51.651 * * [simplify]: iters left: 5 (85 enodes) 51.681 * * [simplify]: iters left: 4 (190 enodes) 51.764 * * [simplify]: Extracting #0: cost 1 inf + 0 51.764 * * [simplify]: Extracting #1: cost 25 inf + 0 51.765 * * [simplify]: Extracting #2: cost 65 inf + 2 51.765 * * [simplify]: Extracting #3: cost 69 inf + 87 51.765 * * [simplify]: Extracting #4: cost 123 inf + 88 51.766 * * [simplify]: Extracting #5: cost 176 inf + 1133 51.770 * * [simplify]: Extracting #6: cost 68 inf + 26585 51.780 * * [simplify]: Extracting #7: cost 9 inf + 46633 51.801 * * [simplify]: Extracting #8: cost 0 inf + 51020 51.818 * [simplify]: Simplified to (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 51.818 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 1)) 51.818 * * * * [progress]: [ 9 / 95 ] simplifiying candidate # 51.819 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))) 51.819 * * [simplify]: iters left: 6 (20 enodes) 51.824 * * [simplify]: iters left: 5 (85 enodes) 51.840 * * [simplify]: iters left: 4 (190 enodes) 51.911 * * [simplify]: Extracting #0: cost 1 inf + 0 51.911 * * [simplify]: Extracting #1: cost 25 inf + 0 51.911 * * [simplify]: Extracting #2: cost 65 inf + 2 51.912 * * [simplify]: Extracting #3: cost 69 inf + 87 51.912 * * [simplify]: Extracting #4: cost 123 inf + 88 51.913 * * [simplify]: Extracting #5: cost 176 inf + 1133 51.918 * * [simplify]: Extracting #6: cost 68 inf + 26585 51.939 * * [simplify]: Extracting #7: cost 9 inf + 46633 51.962 * * [simplify]: Extracting #8: cost 0 inf + 51020 51.983 * [simplify]: Simplified to (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 51.983 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 1)) 51.983 * * * * [progress]: [ 10 / 95 ] simplifiying candidate # 51.983 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))) 51.983 * * [simplify]: iters left: 6 (20 enodes) 51.989 * * [simplify]: iters left: 5 (85 enodes) 52.004 * * [simplify]: iters left: 4 (190 enodes) 52.083 * * [simplify]: Extracting #0: cost 1 inf + 0 52.084 * * [simplify]: Extracting #1: cost 25 inf + 0 52.084 * * [simplify]: Extracting #2: cost 65 inf + 2 52.084 * * [simplify]: Extracting #3: cost 69 inf + 87 52.085 * * [simplify]: Extracting #4: cost 123 inf + 88 52.086 * * [simplify]: Extracting #5: cost 176 inf + 1133 52.094 * * [simplify]: Extracting #6: cost 68 inf + 26585 52.115 * * [simplify]: Extracting #7: cost 9 inf + 46633 52.139 * * [simplify]: Extracting #8: cost 0 inf + 51020 52.162 * [simplify]: Simplified to (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 52.162 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) J) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 1)) 52.162 * * * * [progress]: [ 11 / 95 ] simplifiying candidate # 52.163 * * * * [progress]: [ 12 / 95 ] simplifiying candidate # 52.163 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (+ (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2))))) (+ (log (cbrt (cos (/ K 2)))) (log J)))) 52.163 * * [simplify]: iters left: 6 (24 enodes) 52.175 * * [simplify]: iters left: 5 (97 enodes) 52.208 * * [simplify]: iters left: 4 (202 enodes) 52.299 * * [simplify]: Extracting #0: cost 1 inf + 0 52.299 * * [simplify]: Extracting #1: cost 25 inf + 0 52.299 * * [simplify]: Extracting #2: cost 70 inf + 0 52.300 * * [simplify]: Extracting #3: cost 73 inf + 73 52.300 * * [simplify]: Extracting #4: cost 74 inf + 468 52.301 * * [simplify]: Extracting #5: cost 128 inf + 651 52.303 * * [simplify]: Extracting #6: cost 179 inf + 2324 52.310 * * [simplify]: Extracting #7: cost 84 inf + 24765 52.326 * * [simplify]: Extracting #8: cost 21 inf + 50546 52.339 * * [simplify]: Extracting #9: cost 0 inf + 63297 52.356 * [simplify]: Simplified to (+ (+ (+ (log (cbrt (cos (/ K 2)))) (log J)) (log (cbrt (cos (/ K 2))))) (+ (log -2) (+ (log (sqrt (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (log (cbrt (cos (/ K 2))))))) 52.356 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (+ (log (cbrt (cos (/ K 2)))) (log J)) (log (cbrt (cos (/ K 2))))) (+ (log -2) (+ (log (sqrt (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (log (cbrt (cos (/ K 2))))))))) 52.356 * * * * [progress]: [ 13 / 95 ] simplifiying candidate # 52.356 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (+ (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2))))) (log (* (cbrt (cos (/ K 2))) J)))) 52.356 * * [simplify]: iters left: 6 (24 enodes) 52.363 * * [simplify]: iters left: 5 (97 enodes) 52.384 * * [simplify]: iters left: 4 (194 enodes) 52.473 * * [simplify]: Extracting #0: cost 1 inf + 0 52.473 * * [simplify]: Extracting #1: cost 25 inf + 0 52.473 * * [simplify]: Extracting #2: cost 70 inf + 0 52.474 * * [simplify]: Extracting #3: cost 72 inf + 215 52.474 * * [simplify]: Extracting #4: cost 74 inf + 650 52.475 * * [simplify]: Extracting #5: cost 129 inf + 651 52.476 * * [simplify]: Extracting #6: cost 180 inf + 2019 52.479 * * [simplify]: Extracting #7: cost 85 inf + 23313 52.488 * * [simplify]: Extracting #8: cost 25 inf + 47934 52.501 * * [simplify]: Extracting #9: cost 1 inf + 62274 52.522 * * [simplify]: Extracting #10: cost 0 inf + 62828 52.535 * [simplify]: Simplified to (+ (+ (+ (log -2) (log J)) (log (cbrt (cos (/ K 2))))) (+ (+ (log (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (log (cbrt (cos (/ K 2))))) (log (cbrt (cos (/ K 2)))))) 52.536 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (+ (log -2) (log J)) (log (cbrt (cos (/ K 2))))) (+ (+ (log (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (log (cbrt (cos (/ K 2))))) (log (cbrt (cos (/ K 2)))))))) 52.536 * * * * [progress]: [ 14 / 95 ] simplifiying candidate # 52.536 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (+ (log (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (+ (log (cbrt (cos (/ K 2)))) (log J)))) 52.536 * * [simplify]: iters left: 6 (25 enodes) 52.543 * * [simplify]: iters left: 5 (99 enodes) 52.572 * * [simplify]: iters left: 4 (199 enodes) 52.632 * * [simplify]: Extracting #0: cost 1 inf + 0 52.632 * * [simplify]: Extracting #1: cost 26 inf + 0 52.632 * * [simplify]: Extracting #2: cost 70 inf + 0 52.633 * * [simplify]: Extracting #3: cost 73 inf + 73 52.634 * * [simplify]: Extracting #4: cost 74 inf + 468 52.634 * * [simplify]: Extracting #5: cost 128 inf + 651 52.636 * * [simplify]: Extracting #6: cost 180 inf + 1797 52.643 * * [simplify]: Extracting #7: cost 90 inf + 23093 52.659 * * [simplify]: Extracting #8: cost 27 inf + 45668 52.686 * * [simplify]: Extracting #9: cost 0 inf + 63085 52.713 * [simplify]: Simplified to (+ (log (cbrt (cos (/ K 2)))) (+ (+ (log -2) (log (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (+ (log (cbrt (cos (/ K 2)))) (+ (log (cbrt (cos (/ K 2)))) (log J))))) 52.713 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log (cbrt (cos (/ K 2)))) (+ (+ (log -2) (log (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (+ (log (cbrt (cos (/ K 2)))) (+ (log (cbrt (cos (/ K 2)))) (log J))))))) 52.713 * * * * [progress]: [ 15 / 95 ] simplifiying candidate # 52.713 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (+ (log (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (log (* (cbrt (cos (/ K 2))) J)))) 52.714 * * [simplify]: iters left: 6 (24 enodes) 52.726 * * [simplify]: iters left: 5 (97 enodes) 52.749 * * [simplify]: iters left: 4 (190 enodes) 52.794 * * [simplify]: Extracting #0: cost 1 inf + 0 52.794 * * [simplify]: Extracting #1: cost 24 inf + 0 52.794 * * [simplify]: Extracting #2: cost 65 inf + 0 52.794 * * [simplify]: Extracting #3: cost 69 inf + 73 52.795 * * [simplify]: Extracting #4: cost 69 inf + 650 52.795 * * [simplify]: Extracting #5: cost 124 inf + 651 52.796 * * [simplify]: Extracting #6: cost 178 inf + 1612 52.799 * * [simplify]: Extracting #7: cost 92 inf + 20647 52.807 * * [simplify]: Extracting #8: cost 28 inf + 43774 52.825 * * [simplify]: Extracting #9: cost 6 inf + 55356 52.850 * * [simplify]: Extracting #10: cost 0 inf + 58951 52.875 * [simplify]: Simplified to (+ (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2))))) (+ (log (cbrt (cos (/ K 2)))) (+ (log J) (+ (log -2) (log (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))))))) 52.875 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2))))) (+ (log (cbrt (cos (/ K 2)))) (+ (log J) (+ (log -2) (log (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))))))))) 52.875 * * * * [progress]: [ 16 / 95 ] simplifiying candidate # 52.875 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (log (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) 52.875 * * [simplify]: iters left: 6 (23 enodes) 52.888 * * [simplify]: iters left: 5 (95 enodes) 52.920 * * [simplify]: iters left: 4 (188 enodes) 53.002 * * [simplify]: Extracting #0: cost 1 inf + 0 53.002 * * [simplify]: Extracting #1: cost 19 inf + 0 53.002 * * [simplify]: Extracting #2: cost 61 inf + 0 53.003 * * [simplify]: Extracting #3: cost 66 inf + 286 53.003 * * [simplify]: Extracting #4: cost 72 inf + 468 53.004 * * [simplify]: Extracting #5: cost 125 inf + 470 53.005 * * [simplify]: Extracting #6: cost 176 inf + 1922 53.012 * * [simplify]: Extracting #7: cost 89 inf + 22073 53.029 * * [simplify]: Extracting #8: cost 15 inf + 48533 53.051 * * [simplify]: Extracting #9: cost 0 inf + 56681 53.068 * * [simplify]: Extracting #10: cost 0 inf + 56602 53.079 * [simplify]: Simplified to (+ (log (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2)))))) (+ (log -2) (log (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))))) 53.079 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2)))))) (+ (log -2) (log (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))))))) 53.079 * * * * [progress]: [ 17 / 95 ] simplifiying candidate # 53.079 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (+ (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2))))) (+ (log (cbrt (cos (/ K 2)))) (log J)))) 53.080 * * [simplify]: iters left: 6 (23 enodes) 53.086 * * [simplify]: iters left: 5 (95 enodes) 53.102 * * [simplify]: iters left: 4 (192 enodes) 53.181 * * [simplify]: Extracting #0: cost 1 inf + 0 53.181 * * [simplify]: Extracting #1: cost 23 inf + 0 53.181 * * [simplify]: Extracting #2: cost 66 inf + 0 53.181 * * [simplify]: Extracting #3: cost 68 inf + 73 53.181 * * [simplify]: Extracting #4: cost 68 inf + 650 53.182 * * [simplify]: Extracting #5: cost 123 inf + 651 53.183 * * [simplify]: Extracting #6: cost 176 inf + 1876 53.186 * * [simplify]: Extracting #7: cost 85 inf + 22440 53.192 * * [simplify]: Extracting #8: cost 42 inf + 34197 53.206 * * [simplify]: Extracting #9: cost 7 inf + 54296 53.232 * * [simplify]: Extracting #10: cost 0 inf + 58808 53.256 * [simplify]: Simplified to (+ (log J) (+ (+ (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2))))) (log (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))))) (log (cbrt (cos (/ K 2)))))) 53.256 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log J) (+ (+ (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2))))) (log (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))))) (log (cbrt (cos (/ K 2)))))))) 53.257 * * * * [progress]: [ 18 / 95 ] simplifiying candidate # 53.257 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (+ (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2))))) (log (* (cbrt (cos (/ K 2))) J)))) 53.257 * * [simplify]: iters left: 6 (23 enodes) 53.263 * * [simplify]: iters left: 5 (95 enodes) 53.279 * * [simplify]: iters left: 4 (186 enodes) 53.359 * * [simplify]: Extracting #0: cost 1 inf + 0 53.359 * * [simplify]: Extracting #1: cost 23 inf + 0 53.359 * * [simplify]: Extracting #2: cost 61 inf + 0 53.359 * * [simplify]: Extracting #3: cost 65 inf + 73 53.360 * * [simplify]: Extracting #4: cost 67 inf + 286 53.361 * * [simplify]: Extracting #5: cost 122 inf + 287 53.362 * * [simplify]: Extracting #6: cost 171 inf + 1780 53.369 * * [simplify]: Extracting #7: cost 83 inf + 21592 53.383 * * [simplify]: Extracting #8: cost 29 inf + 40490 53.406 * * [simplify]: Extracting #9: cost 3 inf + 55550 53.426 * * [simplify]: Extracting #10: cost 0 inf + 56879 53.438 * [simplify]: Simplified to (+ (+ (+ (log (* -2 (sqrt (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (log (* (cbrt (cos (/ K 2))) J))) (log (cbrt (cos (/ K 2))))) (log (cbrt (cos (/ K 2))))) 53.438 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (+ (log (* -2 (sqrt (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (log (* (cbrt (cos (/ K 2))) J))) (log (cbrt (cos (/ K 2))))) (log (cbrt (cos (/ K 2))))))) 53.438 * * * * [progress]: [ 19 / 95 ] simplifiying candidate # 53.438 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (+ (log (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (+ (log (cbrt (cos (/ K 2)))) (log J)))) 53.438 * * [simplify]: iters left: 6 (24 enodes) 53.445 * * [simplify]: iters left: 5 (97 enodes) 53.469 * * [simplify]: iters left: 4 (191 enodes) 53.522 * * [simplify]: Extracting #0: cost 1 inf + 0 53.523 * * [simplify]: Extracting #1: cost 24 inf + 0 53.523 * * [simplify]: Extracting #2: cost 65 inf + 0 53.523 * * [simplify]: Extracting #3: cost 69 inf + 2 53.524 * * [simplify]: Extracting #4: cost 70 inf + 397 53.524 * * [simplify]: Extracting #5: cost 122 inf + 651 53.526 * * [simplify]: Extracting #6: cost 176 inf + 1835 53.530 * * [simplify]: Extracting #7: cost 87 inf + 22301 53.540 * * [simplify]: Extracting #8: cost 11 inf + 53118 53.552 * * [simplify]: Extracting #9: cost 0 inf + 58415 53.565 * [simplify]: Simplified to (+ (+ (log (cbrt (cos (/ K 2)))) (+ (log (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (log J))) (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2)))))) 53.565 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (log (cbrt (cos (/ K 2)))) (+ (log (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (log J))) (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2)))))))) 53.565 * * * * [progress]: [ 20 / 95 ] simplifiying candidate # 53.565 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (+ (log (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (log (* (cbrt (cos (/ K 2))) J)))) 53.566 * * [simplify]: iters left: 6 (23 enodes) 53.571 * * [simplify]: iters left: 5 (95 enodes) 53.598 * * [simplify]: iters left: 4 (184 enodes) 53.675 * * [simplify]: Extracting #0: cost 1 inf + 0 53.675 * * [simplify]: Extracting #1: cost 22 inf + 0 53.675 * * [simplify]: Extracting #2: cost 59 inf + 0 53.676 * * [simplify]: Extracting #3: cost 64 inf + 73 53.676 * * [simplify]: Extracting #4: cost 66 inf + 286 53.676 * * [simplify]: Extracting #5: cost 121 inf + 287 53.677 * * [simplify]: Extracting #6: cost 170 inf + 2184 53.680 * * [simplify]: Extracting #7: cost 77 inf + 22979 53.688 * * [simplify]: Extracting #8: cost 20 inf + 45043 53.699 * * [simplify]: Extracting #9: cost 1 inf + 54885 53.713 * * [simplify]: Extracting #10: cost 0 inf + 55217 53.737 * [simplify]: Simplified to (+ (log (* (cbrt (cos (/ K 2))) J)) (+ (log (cbrt (cos (/ K 2)))) (+ (log (cbrt (cos (/ K 2)))) (log (* -2 (sqrt (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))))) 53.737 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log (* (cbrt (cos (/ K 2))) J)) (+ (log (cbrt (cos (/ K 2)))) (+ (log (cbrt (cos (/ K 2)))) (log (* -2 (sqrt (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))))))) 53.738 * * * * [progress]: [ 21 / 95 ] simplifiying candidate # 53.738 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (log (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) 53.739 * * [simplify]: iters left: 6 (22 enodes) 53.750 * * [simplify]: iters left: 5 (93 enodes) 53.781 * * [simplify]: iters left: 4 (185 enodes) 53.823 * * [simplify]: Extracting #0: cost 1 inf + 0 53.823 * * [simplify]: Extracting #1: cost 19 inf + 0 53.823 * * [simplify]: Extracting #2: cost 55 inf + 0 53.823 * * [simplify]: Extracting #3: cost 63 inf + 73 53.823 * * [simplify]: Extracting #4: cost 67 inf + 286 53.824 * * [simplify]: Extracting #5: cost 120 inf + 288 53.824 * * [simplify]: Extracting #6: cost 171 inf + 2123 53.827 * * [simplify]: Extracting #7: cost 94 inf + 19079 53.846 * * [simplify]: Extracting #8: cost 12 inf + 46184 53.859 * * [simplify]: Extracting #9: cost 0 inf + 52414 53.869 * * [simplify]: Extracting #10: cost 0 inf + 52213 53.878 * [simplify]: Simplified to (+ (log (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (log (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) J))))) 53.879 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (log (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) J))))))) 53.879 * * * * [progress]: [ 22 / 95 ] simplifiying candidate # 53.879 * * * * [progress]: [ 23 / 95 ] simplifiying candidate # 53.879 * * * * [progress]: [ 24 / 95 ] simplifiying candidate # 53.879 * [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)))) 53.879 * * [simplify]: iters left: 6 (25 enodes) 53.886 * * [simplify]: iters left: 5 (108 enodes) 53.909 * * [simplify]: iters left: 4 (295 enodes) 54.064 * * [simplify]: Extracting #0: cost 1 inf + 0 54.064 * * [simplify]: Extracting #1: cost 58 inf + 0 54.065 * * [simplify]: Extracting #2: cost 293 inf + 4 54.066 * * [simplify]: Extracting #3: cost 395 inf + 47 54.074 * * [simplify]: Extracting #4: cost 343 inf + 25407 54.101 * * [simplify]: Extracting #5: cost 95 inf + 112182 54.144 * * [simplify]: Extracting #6: cost 3 inf + 153113 54.211 * * [simplify]: Extracting #7: cost 0 inf + 154392 54.251 * [simplify]: Simplified to (* (* (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (* -8 (cos (/ K 2))) (* (* (cos (/ K 2)) (* (cos (/ K 2)) J)) (* J J)))) 54.252 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (* -8 (cos (/ K 2))) (* (* (cos (/ K 2)) (* (cos (/ K 2)) J)) (* J J)))))) 54.252 * * * * [progress]: [ 25 / 95 ] simplifiying candidate # 54.252 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* -2 -2) -2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (* (* (* (cbrt (cos (/ K 2))) J) (* (cbrt (cos (/ K 2))) J)) (* (cbrt (cos (/ K 2))) J)))) 54.252 * * [simplify]: iters left: 6 (26 enodes) 54.260 * * [simplify]: iters left: 5 (118 enodes) 54.301 * * [simplify]: iters left: 4 (349 enodes) 54.550 * * [simplify]: Extracting #0: cost 1 inf + 0 54.550 * * [simplify]: Extracting #1: cost 77 inf + 0 54.551 * * [simplify]: Extracting #2: cost 374 inf + 4 54.553 * * [simplify]: Extracting #3: cost 494 inf + 128 54.562 * * [simplify]: Extracting #4: cost 426 inf + 35116 54.606 * * [simplify]: Extracting #5: cost 118 inf + 153445 54.681 * * [simplify]: Extracting #6: cost 0 inf + 212922 54.744 * * [simplify]: Extracting #7: cost 0 inf + 212239 54.811 * [simplify]: Simplified to (* (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))) (* (* (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (* -8 (* (* (cos (/ K 2)) J) (cbrt (cos (/ K 2))))) (* (* (cos (/ K 2)) J) (cbrt (cos (/ K 2)))))) (* J (cbrt (cos (/ K 2)))))) 54.811 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))) (* (* (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (* -8 (* (* (cos (/ K 2)) J) (cbrt (cos (/ K 2))))) (* (* (cos (/ K 2)) J) (cbrt (cos (/ K 2)))))) (* J (cbrt (cos (/ K 2)))))))) 54.811 * * * * [progress]: [ 26 / 95 ] simplifiying candidate # 54.812 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* -2 -2) -2)) (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cos (/ K 2)) (* (* J J) J)))) 54.812 * * [simplify]: iters left: 6 (28 enodes) 54.824 * * [simplify]: iters left: 5 (125 enodes) 54.853 * * [simplify]: iters left: 4 (357 enodes) 55.198 * * [simplify]: Extracting #0: cost 1 inf + 0 55.198 * * [simplify]: Extracting #1: cost 102 inf + 0 55.200 * * [simplify]: Extracting #2: cost 482 inf + 126 55.208 * * [simplify]: Extracting #3: cost 618 inf + 617 55.213 * * [simplify]: Extracting #4: cost 697 inf + 1504 55.232 * * [simplify]: Extracting #5: cost 458 inf + 58486 55.276 * * [simplify]: Extracting #6: cost 132 inf + 185696 55.344 * * [simplify]: Extracting #7: cost 2 inf + 255257 55.433 * * [simplify]: Extracting #8: cost 0 inf + 256509 55.519 * [simplify]: Simplified to (* (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (* (* (cos (/ K 2)) (* (* J J) J)) (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) -8)) 55.519 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (* (* (cos (/ K 2)) (* (* J J) J)) (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) -8)))) 55.519 * * * * [progress]: [ 27 / 95 ] simplifiying candidate # 55.519 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* -2 -2) -2)) (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (* (cbrt (cos (/ K 2))) J) (* (cbrt (cos (/ K 2))) J)) (* (cbrt (cos (/ K 2))) J)))) 55.519 * * [simplify]: iters left: 6 (28 enodes) 55.528 * * [simplify]: iters left: 5 (131 enodes) 55.566 * * [simplify]: iters left: 4 (402 enodes) 55.972 * * [simplify]: Extracting #0: cost 1 inf + 0 55.972 * * [simplify]: Extracting #1: cost 110 inf + 0 55.974 * * [simplify]: Extracting #2: cost 514 inf + 4 55.976 * * [simplify]: Extracting #3: cost 647 inf + 129 55.980 * * [simplify]: Extracting #4: cost 727 inf + 944 55.988 * * [simplify]: Extracting #5: cost 556 inf + 39689 56.032 * * [simplify]: Extracting #6: cost 122 inf + 208807 56.138 * * [simplify]: Extracting #7: cost 0 inf + 269273 56.256 * * [simplify]: Extracting #8: cost 0 inf + 269233 56.340 * [simplify]: Simplified to (* (* (* (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) -8) (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))) 56.340 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) -8) (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))))) 56.340 * * * * [progress]: [ 28 / 95 ] simplifiying candidate # 56.341 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* -2 -2) -2)) (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) 56.341 * * [simplify]: iters left: 6 (26 enodes) 56.349 * * [simplify]: iters left: 5 (118 enodes) 56.394 * * [simplify]: iters left: 4 (379 enodes) 56.704 * * [simplify]: Extracting #0: cost 1 inf + 0 56.704 * * [simplify]: Extracting #1: cost 84 inf + 0 56.707 * * [simplify]: Extracting #2: cost 460 inf + 45 56.711 * * [simplify]: Extracting #3: cost 579 inf + 88 56.716 * * [simplify]: Extracting #4: cost 633 inf + 553 56.731 * * [simplify]: Extracting #5: cost 493 inf + 38756 56.775 * * [simplify]: Extracting #6: cost 296 inf + 110532 56.846 * * [simplify]: Extracting #7: cost 122 inf + 201381 56.947 * * [simplify]: Extracting #8: cost 1 inf + 278543 57.101 * * [simplify]: Extracting #9: cost 0 inf + 279329 57.203 * [simplify]: Simplified to (* (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2))))) (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2))))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2)))))) (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) -8) (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) 57.203 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2))))) (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2))))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2)))))) (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) -8) (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))))) 57.203 * * * * [progress]: [ 29 / 95 ] simplifiying candidate # 57.204 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (* (cos (/ K 2)) (* (* J J) J)))) 57.204 * * [simplify]: iters left: 6 (23 enodes) 57.218 * * [simplify]: iters left: 5 (108 enodes) 57.256 * * [simplify]: iters left: 4 (276 enodes) 57.390 * * [simplify]: Extracting #0: cost 1 inf + 0 57.390 * * [simplify]: Extracting #1: cost 50 inf + 0 57.392 * * [simplify]: Extracting #2: cost 244 inf + 2 57.393 * * [simplify]: Extracting #3: cost 249 inf + 976 57.396 * * [simplify]: Extracting #4: cost 282 inf + 2844 57.407 * * [simplify]: Extracting #5: cost 241 inf + 39933 57.439 * * [simplify]: Extracting #6: cost 58 inf + 112943 57.509 * * [simplify]: Extracting #7: cost 0 inf + 129175 57.581 * * [simplify]: Extracting #8: cost 0 inf + 128032 57.627 * * [simplify]: Extracting #9: cost 0 inf + 127991 57.663 * [simplify]: Simplified to (* (* (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* J (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))) (cos (/ K 2))) (* (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) -8)) 57.663 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* J (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))) (cos (/ K 2))) (* (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) -8)))) 57.663 * * * * [progress]: [ 30 / 95 ] simplifiying candidate # 57.663 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (* (* (* (cbrt (cos (/ K 2))) J) (* (cbrt (cos (/ K 2))) J)) (* (cbrt (cos (/ K 2))) J)))) 57.663 * * [simplify]: iters left: 6 (24 enodes) 57.678 * * [simplify]: iters left: 5 (118 enodes) 57.709 * * [simplify]: iters left: 4 (331 enodes) 57.901 * * [simplify]: Extracting #0: cost 1 inf + 0 57.901 * * [simplify]: Extracting #1: cost 69 inf + 0 57.902 * * [simplify]: Extracting #2: cost 331 inf + 43 57.905 * * [simplify]: Extracting #3: cost 350 inf + 249 57.908 * * [simplify]: Extracting #4: cost 384 inf + 2295 57.936 * * [simplify]: Extracting #5: cost 277 inf + 71659 58.020 * * [simplify]: Extracting #6: cost 25 inf + 178091 58.090 * * [simplify]: Extracting #7: cost 0 inf + 186746 58.185 * * [simplify]: Extracting #8: cost 0 inf + 186706 58.254 * [simplify]: Simplified to (* (* (* (* J (cbrt (cos (/ K 2)))) (sqrt (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) -8)) (* (* (* (cos (/ K 2)) J) (cbrt (cos (/ K 2)))) (* (* (cos (/ K 2)) J) (cbrt (cos (/ K 2)))))) 58.254 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (* J (cbrt (cos (/ K 2)))) (sqrt (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) -8)) (* (* (* (cos (/ K 2)) J) (cbrt (cos (/ K 2)))) (* (* (cos (/ K 2)) J) (cbrt (cos (/ K 2)))))))) 58.255 * * * * [progress]: [ 31 / 95 ] simplifiying candidate # 58.255 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cos (/ K 2)) (* (* J J) J)))) 58.256 * * [simplify]: iters left: 6 (26 enodes) 58.271 * * [simplify]: iters left: 5 (125 enodes) 58.320 * * [simplify]: iters left: 4 (334 enodes) 58.511 * * [simplify]: Extracting #0: cost 1 inf + 0 58.512 * * [simplify]: Extracting #1: cost 76 inf + 0 58.513 * * [simplify]: Extracting #2: cost 393 inf + 124 58.514 * * [simplify]: Extracting #3: cost 430 inf + 372 58.516 * * [simplify]: Extracting #4: cost 482 inf + 1030 58.532 * * [simplify]: Extracting #5: cost 359 inf + 78270 58.617 * * [simplify]: Extracting #6: cost 13 inf + 215453 58.688 * * [simplify]: Extracting #7: cost 0 inf + 219842 58.770 * * [simplify]: Extracting #8: cost 0 inf + 219802 58.859 * [simplify]: Simplified to (* (* (* (* J (* J J)) (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* -8 (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* (cos (/ K 2)) (cos (/ K 2))))) 58.859 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (* J (* J J)) (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* -8 (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) (* (cos (/ K 2)) (cos (/ K 2))))))) 58.859 * * * * [progress]: [ 32 / 95 ] simplifiying candidate # 58.859 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (* (cbrt (cos (/ K 2))) J) (* (cbrt (cos (/ K 2))) J)) (* (cbrt (cos (/ K 2))) J)))) 58.859 * * [simplify]: iters left: 6 (26 enodes) 58.868 * * [simplify]: iters left: 5 (131 enodes) 58.904 * * [simplify]: iters left: 4 (380 enodes) 59.096 * * [simplify]: Extracting #0: cost 1 inf + 0 59.097 * * [simplify]: Extracting #1: cost 84 inf + 0 59.099 * * [simplify]: Extracting #2: cost 413 inf + 43 59.103 * * [simplify]: Extracting #3: cost 439 inf + 462 59.107 * * [simplify]: Extracting #4: cost 490 inf + 652 59.132 * * [simplify]: Extracting #5: cost 400 inf + 66248 59.203 * * [simplify]: Extracting #6: cost 19 inf + 227318 59.299 * * [simplify]: Extracting #7: cost 0 inf + 232690 59.391 * * [simplify]: Extracting #8: cost 0 inf + 231088 59.491 * * [simplify]: Extracting #9: cost 0 inf + 230928 59.569 * [simplify]: Simplified to (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* -8 (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))))) 59.570 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* -8 (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))))))) 59.570 * * * * [progress]: [ 33 / 95 ] simplifiying candidate # 59.570 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) 59.571 * * [simplify]: iters left: 6 (24 enodes) 59.581 * * [simplify]: iters left: 5 (118 enodes) 59.608 * * [simplify]: iters left: 4 (363 enodes) 59.860 * * [simplify]: Extracting #0: cost 1 inf + 0 59.860 * * [simplify]: Extracting #1: cost 74 inf + 0 59.861 * * [simplify]: Extracting #2: cost 401 inf + 43 59.863 * * [simplify]: Extracting #3: cost 413 inf + 87 59.867 * * [simplify]: Extracting #4: cost 465 inf + 301 59.897 * * [simplify]: Extracting #5: cost 350 inf + 75376 59.995 * * [simplify]: Extracting #6: cost 25 inf + 235291 60.069 * * [simplify]: Extracting #7: cost 0 inf + 243902 60.155 * * [simplify]: Extracting #8: cost 0 inf + 243781 60.246 * [simplify]: Simplified to (* (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2))))) (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) -8)) (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2))))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2))))))) 60.246 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2))))) (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) -8)) (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2))))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2))))))))) 60.246 * * * * [progress]: [ 34 / 95 ] simplifiying candidate # 60.246 * * * * [progress]: [ 35 / 95 ] simplifiying candidate # 60.247 * * * * [progress]: [ 36 / 95 ] simplifiying candidate # 60.247 * * * * [progress]: [ 37 / 95 ] simplifiying candidate # 60.247 * * * * [progress]: [ 38 / 95 ] simplifiying candidate # 60.247 * [simplify]: Simplifying (* (cbrt (cos (/ K 2))) J) 60.247 * * [simplify]: iters left: 6 (7 enodes) 60.249 * * [simplify]: iters left: 5 (22 enodes) 60.252 * * [simplify]: Extracting #0: cost 1 inf + 0 60.252 * * [simplify]: Extracting #1: cost 4 inf + 0 60.252 * * [simplify]: Extracting #2: cost 5 inf + 1 60.252 * * [simplify]: Extracting #3: cost 7 inf + 1 60.252 * * [simplify]: Extracting #4: cost 10 inf + 1 60.252 * * [simplify]: Extracting #5: cost 8 inf + 3 60.252 * * [simplify]: Extracting #6: cost 1 inf + 878 60.253 * * [simplify]: Extracting #7: cost 0 inf + 1101 60.253 * [simplify]: Simplified to (* (cbrt (cos (/ K 2))) J) 60.253 * [simplify]: Simplified (2 2) to (λ (J K U) (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) J))) 60.253 * * * * [progress]: [ 39 / 95 ] simplifiying candidate # 60.253 * [simplify]: Simplifying (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 60.253 * * [simplify]: iters left: 6 (13 enodes) 60.257 * * [simplify]: iters left: 5 (52 enodes) 60.266 * * [simplify]: iters left: 4 (105 enodes) 60.292 * * [simplify]: iters left: 3 (359 enodes) 60.499 * * [simplify]: Extracting #0: cost 1 inf + 0 60.499 * * [simplify]: Extracting #1: cost 3 inf + 0 60.499 * * [simplify]: Extracting #2: cost 6 inf + 0 60.500 * * [simplify]: Extracting #3: cost 118 inf + 1 60.502 * * [simplify]: Extracting #4: cost 235 inf + 336 60.509 * * [simplify]: Extracting #5: cost 193 inf + 4402 60.517 * * [simplify]: Extracting #6: cost 119 inf + 19348 60.543 * * [simplify]: Extracting #7: cost 7 inf + 46040 60.572 * * [simplify]: Extracting #8: cost 0 inf + 47488 60.586 * [simplify]: Simplified to (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 60.586 * [simplify]: Simplified (2 1) to (λ (J K U) (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* -2 (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))))) 60.586 * * * * [progress]: [ 40 / 95 ] simplifiying candidate # 60.587 * [simplify]: Simplifying (* (* (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))) 60.587 * * [simplify]: iters left: 6 (23 enodes) 60.594 * * [simplify]: iters left: 5 (103 enodes) 60.633 * * [simplify]: iters left: 4 (262 enodes) 60.801 * * [simplify]: Extracting #0: cost 1 inf + 0 60.801 * * [simplify]: Extracting #1: cost 25 inf + 0 60.801 * * [simplify]: Extracting #2: cost 65 inf + 2 60.802 * * [simplify]: Extracting #3: cost 69 inf + 87 60.803 * * [simplify]: Extracting #4: cost 167 inf + 88 60.805 * * [simplify]: Extracting #5: cost 373 inf + 1170 60.817 * * [simplify]: Extracting #6: cost 285 inf + 43405 60.875 * * [simplify]: Extracting #7: cost 17 inf + 136414 60.945 * * [simplify]: Extracting #8: cost 0 inf + 142053 60.997 * * [simplify]: Extracting #9: cost 0 inf + 141884 61.038 * [simplify]: Simplified to (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) -2) (* (cbrt (cos (/ K 2))) (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))))) 61.039 * [simplify]: Simplified (2 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) -2) (* (cbrt (cos (/ K 2))) (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))))) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) 61.039 * * * * [progress]: [ 41 / 95 ] simplifiying candidate # 61.039 * [simplify]: Simplifying (* (* (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* 1 1))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))) 61.039 * * [simplify]: iters left: 6 (22 enodes) 61.046 * * [simplify]: iters left: 5 (95 enodes) 61.065 * * [simplify]: iters left: 4 (237 enodes) 61.165 * * [simplify]: Extracting #0: cost 1 inf + 0 61.165 * * [simplify]: Extracting #1: cost 25 inf + 0 61.165 * * [simplify]: Extracting #2: cost 65 inf + 2 61.166 * * [simplify]: Extracting #3: cost 72 inf + 87 61.166 * * [simplify]: Extracting #4: cost 168 inf + 89 61.167 * * [simplify]: Extracting #5: cost 346 inf + 1339 61.182 * * [simplify]: Extracting #6: cost 175 inf + 52242 61.218 * * [simplify]: Extracting #7: cost 13 inf + 107545 61.244 * * [simplify]: Extracting #8: cost 0 inf + 112935 61.295 * [simplify]: Simplified to (* (* (* J (cbrt (cos (/ K 2)))) (sqrt (- (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) -2)) 61.295 * [simplify]: Simplified (2 1) to (λ (J K U) (/ (* (* (* J (cbrt (cos (/ K 2)))) (sqrt (- (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) -2)) (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) 61.295 * * * * [progress]: [ 42 / 95 ] simplifiying candidate #real (real->posit16 (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))))))> 61.295 * * * * [progress]: [ 43 / 95 ] simplifiying candidate # 61.296 * * * * [progress]: [ 44 / 95 ] simplifiying candidate # 61.296 * * * * [progress]: [ 45 / 95 ] simplifiying candidate # 61.296 * * * * [progress]: [ 46 / 95 ] simplifiying candidate # 61.296 * * * * [progress]: [ 47 / 95 ] simplifiying candidate # 61.296 * * * * [progress]: [ 48 / 95 ] simplifiying candidate # 61.296 * * * * [progress]: [ 49 / 95 ] simplifiying candidate # 61.296 * * * * [progress]: [ 50 / 95 ] simplifiying candidate # 61.296 * [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)))) 61.297 * * [simplify]: iters left: 6 (15 enodes) 61.302 * * [simplify]: iters left: 5 (59 enodes) 61.315 * * [simplify]: iters left: 4 (112 enodes) 61.342 * * [simplify]: iters left: 3 (365 enodes) 61.589 * * [simplify]: Extracting #0: cost 1 inf + 0 61.589 * * [simplify]: Extracting #1: cost 4 inf + 0 61.589 * * [simplify]: Extracting #2: cost 7 inf + 0 61.589 * * [simplify]: Extracting #3: cost 10 inf + 0 61.590 * * [simplify]: Extracting #4: cost 122 inf + 1 61.592 * * [simplify]: Extracting #5: cost 241 inf + 89 61.595 * * [simplify]: Extracting #6: cost 203 inf + 3666 61.603 * * [simplify]: Extracting #7: cost 128 inf + 17960 61.626 * * [simplify]: Extracting #8: cost 13 inf + 45848 61.651 * * [simplify]: Extracting #9: cost 0 inf + 48961 61.666 * [simplify]: Simplified to (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) 61.666 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (* (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (sqrt (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) 61.667 * * * * [progress]: [ 51 / 95 ] simplifiying candidate # 61.667 * [simplify]: Simplifying (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) 61.667 * * [simplify]: iters left: 6 (14 enodes) 61.671 * * [simplify]: iters left: 5 (55 enodes) 61.689 * * [simplify]: iters left: 4 (108 enodes) 61.715 * * [simplify]: iters left: 3 (363 enodes) 61.941 * * [simplify]: Extracting #0: cost 1 inf + 0 61.941 * * [simplify]: Extracting #1: cost 3 inf + 0 61.941 * * [simplify]: Extracting #2: cost 5 inf + 0 61.941 * * [simplify]: Extracting #3: cost 8 inf + 0 61.941 * * [simplify]: Extracting #4: cost 123 inf + 1 61.942 * * [simplify]: Extracting #5: cost 234 inf + 420 61.944 * * [simplify]: Extracting #6: cost 203 inf + 3175 61.948 * * [simplify]: Extracting #7: cost 127 inf + 18949 61.962 * * [simplify]: Extracting #8: cost 7 inf + 46860 61.979 * * [simplify]: Extracting #9: cost 0 inf + 48232 61.994 * [simplify]: Simplified to (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 61.994 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (* (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) 61.994 * * * * [progress]: [ 52 / 95 ] simplifiying candidate # 61.994 * [simplify]: Simplifying (sqrt 1) 61.995 * * [simplify]: iters left: 1 (2 enodes) 61.997 * * [simplify]: Extracting #0: cost 1 inf + 0 61.997 * * [simplify]: Extracting #1: cost 0 inf + 1 61.997 * [simplify]: Simplified to 1 61.997 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (* 1 (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) 61.997 * * * * [progress]: [ 53 / 95 ] simplifiying candidate # 61.998 * [simplify]: Simplifying (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3))) 61.998 * * [simplify]: iters left: 6 (16 enodes) 62.008 * * [simplify]: iters left: 5 (70 enodes) 62.039 * * [simplify]: iters left: 4 (176 enodes) 62.145 * * [simplify]: Extracting #0: cost 1 inf + 0 62.145 * * [simplify]: Extracting #1: cost 3 inf + 0 62.145 * * [simplify]: Extracting #2: cost 6 inf + 0 62.145 * * [simplify]: Extracting #3: cost 103 inf + 1 62.147 * * [simplify]: Extracting #4: cost 306 inf + 6 62.149 * * [simplify]: Extracting #5: cost 338 inf + 1810 62.157 * * [simplify]: Extracting #6: cost 242 inf + 27932 62.178 * * [simplify]: Extracting #7: cost 28 inf + 100762 62.210 * * [simplify]: Extracting #8: cost 0 inf + 110036 62.244 * [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))))))) 62.244 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (/ (sqrt (+ 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) 62.244 * * * * [progress]: [ 54 / 95 ] simplifiying candidate # 62.244 * [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))) 62.245 * * [simplify]: iters left: 6 (15 enodes) 62.249 * * [simplify]: iters left: 5 (62 enodes) 62.266 * * [simplify]: iters left: 4 (150 enodes) 62.373 * * [simplify]: Extracting #0: cost 1 inf + 0 62.373 * * [simplify]: Extracting #1: cost 3 inf + 0 62.373 * * [simplify]: Extracting #2: cost 9 inf + 0 62.374 * * [simplify]: Extracting #3: cost 105 inf + 2 62.374 * * [simplify]: Extracting #4: cost 286 inf + 6 62.376 * * [simplify]: Extracting #5: cost 280 inf + 1923 62.380 * * [simplify]: Extracting #6: cost 191 inf + 25190 62.395 * * [simplify]: Extracting #7: cost 26 inf + 76271 62.437 * * [simplify]: Extracting #8: cost 0 inf + 85028 62.472 * [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)) 62.473 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (/ (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) 62.473 * * * * [progress]: [ 55 / 95 ] simplifiying candidate # 62.473 * [simplify]: Simplifying (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 62.474 * * [simplify]: iters left: 6 (12 enodes) 62.480 * * [simplify]: iters left: 5 (49 enodes) 62.497 * * [simplify]: iters left: 4 (102 enodes) 62.547 * * [simplify]: iters left: 3 (356 enodes) 62.751 * * [simplify]: Extracting #0: cost 1 inf + 0 62.751 * * [simplify]: Extracting #1: cost 4 inf + 0 62.751 * * [simplify]: Extracting #2: cost 116 inf + 1 62.752 * * [simplify]: Extracting #3: cost 234 inf + 254 62.754 * * [simplify]: Extracting #4: cost 192 inf + 4198 62.758 * * [simplify]: Extracting #5: cost 121 inf + 19235 62.772 * * [simplify]: Extracting #6: cost 5 inf + 46310 62.786 * * [simplify]: Extracting #7: cost 0 inf + 47117 62.802 * * [simplify]: Extracting #8: cost 0 inf + 46998 62.828 * [simplify]: Simplified to (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 62.829 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (pow (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (/ 1 2)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) 62.829 * * * * [progress]: [ 56 / 95 ] simplifiying candidate # 62.829 * * * * [progress]: [ 57 / 95 ] simplifiying candidate # 62.830 * [simplify]: Simplifying (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 62.830 * * [simplify]: iters left: 6 (13 enodes) 62.833 * * [simplify]: iters left: 5 (52 enodes) 62.844 * * [simplify]: iters left: 4 (105 enodes) 62.881 * * [simplify]: iters left: 3 (359 enodes) 63.145 * * [simplify]: Extracting #0: cost 1 inf + 0 63.145 * * [simplify]: Extracting #1: cost 3 inf + 0 63.145 * * [simplify]: Extracting #2: cost 6 inf + 0 63.145 * * [simplify]: Extracting #3: cost 118 inf + 1 63.147 * * [simplify]: Extracting #4: cost 235 inf + 336 63.150 * * [simplify]: Extracting #5: cost 193 inf + 4402 63.158 * * [simplify]: Extracting #6: cost 119 inf + 19348 63.184 * * [simplify]: Extracting #7: cost 7 inf + 46040 63.203 * * [simplify]: Extracting #8: cost 0 inf + 47488 63.218 * [simplify]: Simplified to (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 63.219 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (fabs (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) 63.219 * * * * [progress]: [ 58 / 95 ] simplifiying candidate # 63.219 * * * * [progress]: [ 59 / 95 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))))> 63.219 * * * * [progress]: [ 60 / 95 ] simplifiying candidate # 63.219 * * * * [progress]: [ 61 / 95 ] simplifiying candidate # 63.219 * * * * [progress]: [ 62 / 95 ] simplifiying candidate # 63.219 * * * * [progress]: [ 63 / 95 ] simplifiying candidate # 63.219 * * * * [progress]: [ 64 / 95 ] simplifiying candidate # 63.220 * [simplify]: Simplifying (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) 63.220 * * [simplify]: iters left: 6 (7 enodes) 63.223 * * [simplify]: iters left: 5 (21 enodes) 63.230 * * [simplify]: Extracting #0: cost 1 inf + 0 63.230 * * [simplify]: Extracting #1: cost 3 inf + 0 63.230 * * [simplify]: Extracting #2: cost 5 inf + 0 63.230 * * [simplify]: Extracting #3: cost 7 inf + 0 63.230 * * [simplify]: Extracting #4: cost 9 inf + 0 63.230 * * [simplify]: Extracting #5: cost 12 inf + 0 63.230 * * [simplify]: Extracting #6: cost 10 inf + 2 63.231 * * [simplify]: Extracting #7: cost 1 inf + 1400 63.231 * * [simplify]: Extracting #8: cost 0 inf + 1702 63.232 * [simplify]: Simplified to (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) 63.232 * [simplify]: Simplified (2 2 2 1 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))) J)))) 63.232 * * * * [progress]: [ 65 / 95 ] simplifiying candidate # 63.232 * [simplify]: Simplifying (cbrt (sqrt (cos (/ K 2)))) 63.232 * * [simplify]: iters left: 5 (6 enodes) 63.236 * * [simplify]: iters left: 4 (18 enodes) 63.241 * * [simplify]: Extracting #0: cost 1 inf + 0 63.241 * * [simplify]: Extracting #1: cost 3 inf + 0 63.241 * * [simplify]: Extracting #2: cost 5 inf + 0 63.241 * * [simplify]: Extracting #3: cost 7 inf + 0 63.242 * * [simplify]: Extracting #4: cost 10 inf + 0 63.242 * * [simplify]: Extracting #5: cost 8 inf + 2 63.242 * * [simplify]: Extracting #6: cost 0 inf + 1018 63.242 * [simplify]: Simplified to (cbrt (sqrt (cos (/ K 2)))) 63.242 * [simplify]: Simplified (2 2 2 1 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (* (cbrt (sqrt (cos (/ K 2)))) (cbrt (sqrt (cos (/ K 2))))) J)))) 63.242 * * * * [progress]: [ 66 / 95 ] simplifiying candidate # 63.243 * [simplify]: Simplifying (cbrt 1) 63.243 * * [simplify]: iters left: 1 (2 enodes) 63.246 * * [simplify]: Extracting #0: cost 1 inf + 0 63.246 * * [simplify]: Extracting #1: cost 0 inf + 1 63.246 * [simplify]: Simplified to 1 63.246 * [simplify]: Simplified (2 2 2 1 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (* 1 (cbrt (cos (/ K 2)))) J)))) 63.247 * * * * [progress]: [ 67 / 95 ] simplifiying candidate # 63.247 * * * * [progress]: [ 68 / 95 ] simplifiying candidate # 63.247 * * * * [progress]: [ 69 / 95 ] simplifiying candidate # 63.247 * * * * [progress]: [ 70 / 95 ] simplifiying candidate # 63.247 * * * * [progress]: [ 71 / 95 ] simplifiying candidate #real (real->posit16 (cbrt (cos (/ K 2))))) J))))> 63.247 * * * * [progress]: [ 72 / 95 ] simplifiying candidate # 63.248 * * * * [progress]: [ 73 / 95 ] simplifiying candidate # 63.249 * * * * [progress]: [ 74 / 95 ] simplifiying candidate # 63.249 * * * * [progress]: [ 75 / 95 ] simplifiying candidate # 63.249 * * * * [progress]: [ 76 / 95 ] simplifiying candidate # 63.249 * [simplify]: Simplifying (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) 63.249 * * [simplify]: iters left: 6 (7 enodes) 63.253 * * [simplify]: iters left: 5 (21 enodes) 63.260 * * [simplify]: Extracting #0: cost 1 inf + 0 63.260 * * [simplify]: Extracting #1: cost 3 inf + 0 63.260 * * [simplify]: Extracting #2: cost 5 inf + 0 63.260 * * [simplify]: Extracting #3: cost 7 inf + 0 63.260 * * [simplify]: Extracting #4: cost 9 inf + 0 63.260 * * [simplify]: Extracting #5: cost 12 inf + 0 63.260 * * [simplify]: Extracting #6: cost 10 inf + 2 63.260 * * [simplify]: Extracting #7: cost 1 inf + 1400 63.261 * * [simplify]: Extracting #8: cost 0 inf + 1702 63.261 * [simplify]: Simplified to (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) 63.261 * [simplify]: Simplified (2 2 1 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J)))) 63.262 * * * * [progress]: [ 77 / 95 ] simplifiying candidate # 63.262 * [simplify]: Simplifying (cbrt (sqrt (cos (/ K 2)))) 63.262 * * [simplify]: iters left: 5 (6 enodes) 63.265 * * [simplify]: iters left: 4 (18 enodes) 63.270 * * [simplify]: Extracting #0: cost 1 inf + 0 63.270 * * [simplify]: Extracting #1: cost 3 inf + 0 63.270 * * [simplify]: Extracting #2: cost 5 inf + 0 63.271 * * [simplify]: Extracting #3: cost 7 inf + 0 63.271 * * [simplify]: Extracting #4: cost 10 inf + 0 63.271 * * [simplify]: Extracting #5: cost 8 inf + 2 63.271 * * [simplify]: Extracting #6: cost 0 inf + 1018 63.271 * [simplify]: Simplified to (cbrt (sqrt (cos (/ K 2)))) 63.271 * [simplify]: Simplified (2 2 1 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (* (cbrt (sqrt (cos (/ K 2)))) (cbrt (sqrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J)))) 63.271 * * * * [progress]: [ 78 / 95 ] simplifiying candidate # 63.272 * [simplify]: Simplifying (cbrt 1) 63.272 * * [simplify]: iters left: 1 (2 enodes) 63.275 * * [simplify]: Extracting #0: cost 1 inf + 0 63.275 * * [simplify]: Extracting #1: cost 0 inf + 1 63.275 * [simplify]: Simplified to 1 63.275 * [simplify]: Simplified (2 2 1 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (* 1 (cbrt (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) J)))) 63.275 * * * * [progress]: [ 79 / 95 ] simplifiying candidate # 63.275 * * * * [progress]: [ 80 / 95 ] simplifiying candidate # 63.275 * * * * [progress]: [ 81 / 95 ] simplifiying candidate # 63.276 * * * * [progress]: [ 82 / 95 ] simplifiying candidate # 63.276 * * * * [progress]: [ 83 / 95 ] simplifiying candidate #real (real->posit16 (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J))))> 63.276 * * * * [progress]: [ 84 / 95 ] simplifiying candidate # 63.276 * [simplify]: Simplifying (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 63.276 * * [simplify]: iters left: 6 (10 enodes) 63.282 * * [simplify]: iters left: 5 (43 enodes) 63.297 * * [simplify]: iters left: 4 (79 enodes) 63.325 * * [simplify]: iters left: 3 (118 enodes) 63.358 * * [simplify]: iters left: 2 (171 enodes) 63.416 * * [simplify]: iters left: 1 (242 enodes) 63.473 * * [simplify]: Extracting #0: cost 1 inf + 0 63.473 * * [simplify]: Extracting #1: cost 6 inf + 0 63.474 * * [simplify]: Extracting #2: cost 41 inf + 0 63.474 * * [simplify]: Extracting #3: cost 56 inf + 213 63.476 * * [simplify]: Extracting #4: cost 20 inf + 2732 63.479 * * [simplify]: Extracting #5: cost 1 inf + 4576 63.482 * * [simplify]: Extracting #6: cost 0 inf + 4698 63.484 * [simplify]: Simplified to (- (* -2 J) (/ (* U U) (/ J 1/4))) 63.484 * [simplify]: Simplified (2) to (λ (J K U) (- (* -2 J) (/ (* U U) (/ J 1/4)))) 63.485 * * * * [progress]: [ 85 / 95 ] simplifiying candidate # 63.485 * [simplify]: Simplifying (* -1 U) 63.485 * * [simplify]: iters left: 2 (3 enodes) 63.487 * * [simplify]: iters left: 1 (11 enodes) 63.490 * * [simplify]: Extracting #0: cost 1 inf + 0 63.490 * * [simplify]: Extracting #1: cost 4 inf + 0 63.490 * * [simplify]: Extracting #2: cost 0 inf + 84 63.490 * [simplify]: Simplified to (- U) 63.490 * [simplify]: Simplified (2) to (λ (J K U) (- U)) 63.490 * * * * [progress]: [ 86 / 95 ] simplifiying candidate # 63.491 * [simplify]: Simplifying (* -1 U) 63.491 * * [simplify]: iters left: 2 (3 enodes) 63.493 * * [simplify]: iters left: 1 (11 enodes) 63.496 * * [simplify]: Extracting #0: cost 1 inf + 0 63.496 * * [simplify]: Extracting #1: cost 4 inf + 0 63.496 * * [simplify]: Extracting #2: cost 0 inf + 84 63.496 * [simplify]: Simplified to (- U) 63.496 * [simplify]: Simplified (2) to (λ (J K U) (- U)) 63.496 * * * * [progress]: [ 87 / 95 ] simplifiying candidate # 63.496 * [simplify]: Simplifying 1 63.496 * * [simplify]: iters left: 0 (1 enodes) 63.497 * * [simplify]: Extracting #0: cost 1 inf + 0 63.497 * * [simplify]: Extracting #1: cost 0 inf + 1 63.497 * [simplify]: Simplified to 1 63.497 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* 1 -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) 63.497 * * * * [progress]: [ 88 / 95 ] simplifiying candidate # 63.498 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 63.498 * * [simplify]: iters left: 6 (9 enodes) 63.502 * * [simplify]: iters left: 5 (34 enodes) 63.513 * * [simplify]: iters left: 4 (56 enodes) 63.531 * * [simplify]: iters left: 3 (90 enodes) 63.557 * * [simplify]: iters left: 2 (114 enodes) 63.590 * * [simplify]: iters left: 1 (131 enodes) 63.613 * * [simplify]: Extracting #0: cost 1 inf + 0 63.613 * * [simplify]: Extracting #1: cost 22 inf + 0 63.613 * * [simplify]: Extracting #2: cost 37 inf + 3 63.613 * * [simplify]: Extracting #3: cost 31 inf + 380 63.613 * * [simplify]: Extracting #4: cost 17 inf + 1834 63.614 * * [simplify]: Extracting #5: cost 3 inf + 4117 63.615 * * [simplify]: Extracting #6: cost 0 inf + 4586 63.617 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 63.617 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) 63.617 * * * * [progress]: [ 89 / 95 ] simplifiying candidate # 63.617 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 63.617 * * [simplify]: iters left: 6 (9 enodes) 63.620 * * [simplify]: iters left: 5 (34 enodes) 63.625 * * [simplify]: iters left: 4 (56 enodes) 63.635 * * [simplify]: iters left: 3 (90 enodes) 63.661 * * [simplify]: iters left: 2 (114 enodes) 63.693 * * [simplify]: iters left: 1 (131 enodes) 63.712 * * [simplify]: Extracting #0: cost 1 inf + 0 63.712 * * [simplify]: Extracting #1: cost 22 inf + 0 63.712 * * [simplify]: Extracting #2: cost 37 inf + 3 63.712 * * [simplify]: Extracting #3: cost 31 inf + 380 63.713 * * [simplify]: Extracting #4: cost 17 inf + 1834 63.713 * * [simplify]: Extracting #5: cost 3 inf + 4117 63.714 * * [simplify]: Extracting #6: cost 0 inf + 4586 63.716 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 63.716 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) 63.716 * * * * [progress]: [ 90 / 95 ] simplifiying candidate # 63.716 * [simplify]: Simplifying (- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2)))) 63.716 * * [simplify]: iters left: 6 (12 enodes) 63.720 * * [simplify]: iters left: 5 (52 enodes) 63.730 * * [simplify]: iters left: 4 (73 enodes) 63.754 * * [simplify]: iters left: 3 (117 enodes) 63.779 * * [simplify]: iters left: 2 (156 enodes) 63.823 * * [simplify]: iters left: 1 (207 enodes) 63.861 * * [simplify]: Extracting #0: cost 1 inf + 0 63.861 * * [simplify]: Extracting #1: cost 18 inf + 0 63.861 * * [simplify]: Extracting #2: cost 39 inf + 2 63.862 * * [simplify]: Extracting #3: cost 43 inf + 213 63.863 * * [simplify]: Extracting #4: cost 14 inf + 3555 63.866 * * [simplify]: Extracting #5: cost 0 inf + 5789 63.870 * [simplify]: Simplified to (- (* (* (* K K) (* K K)) -1/1152) (- (* 1/24 (* K K)) 1)) 63.870 * [simplify]: Simplified (2 2 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (- (* (* (* K K) (* K K)) -1/1152) (- (* 1/24 (* K K)) 1)) J)))) 63.870 * * * * [progress]: [ 91 / 95 ] simplifiying candidate # 63.873 * [simplify]: Simplifying (pow (cos (* 1/2 K)) 1/3) 63.874 * * [simplify]: iters left: 4 (6 enodes) 63.878 * * [simplify]: iters left: 3 (25 enodes) 63.888 * * [simplify]: iters left: 2 (39 enodes) 63.903 * * [simplify]: iters left: 1 (69 enodes) 63.925 * * [simplify]: Extracting #0: cost 1 inf + 0 63.925 * * [simplify]: Extracting #1: cost 9 inf + 0 63.925 * * [simplify]: Extracting #2: cost 23 inf + 1 63.925 * * [simplify]: Extracting #3: cost 23 inf + 5 63.925 * * [simplify]: Extracting #4: cost 20 inf + 8 63.925 * * [simplify]: Extracting #5: cost 9 inf + 2778 63.926 * * [simplify]: Extracting #6: cost 0 inf + 6930 63.926 * [simplify]: Simplified to (cbrt (cos (* 1/2 K))) 63.926 * [simplify]: Simplified (2 2 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (* 1/2 K))) J)))) 63.927 * * * * [progress]: [ 92 / 95 ] simplifiying candidate # 63.927 * [simplify]: Simplifying (pow (cos (* 1/2 K)) 1/3) 63.927 * * [simplify]: iters left: 4 (6 enodes) 63.929 * * [simplify]: iters left: 3 (25 enodes) 63.934 * * [simplify]: iters left: 2 (39 enodes) 63.942 * * [simplify]: iters left: 1 (69 enodes) 63.960 * * [simplify]: Extracting #0: cost 1 inf + 0 63.960 * * [simplify]: Extracting #1: cost 9 inf + 0 63.960 * * [simplify]: Extracting #2: cost 23 inf + 1 63.960 * * [simplify]: Extracting #3: cost 23 inf + 5 63.960 * * [simplify]: Extracting #4: cost 20 inf + 8 63.961 * * [simplify]: Extracting #5: cost 9 inf + 2778 63.962 * * [simplify]: Extracting #6: cost 0 inf + 6930 63.963 * [simplify]: Simplified to (cbrt (cos (* 1/2 K))) 63.963 * [simplify]: Simplified (2 2 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (* 1/2 K))) J)))) 63.963 * * * * [progress]: [ 93 / 95 ] simplifiying candidate # 63.964 * [simplify]: Simplifying (- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2)))) 63.964 * * [simplify]: iters left: 6 (12 enodes) 63.973 * * [simplify]: iters left: 5 (52 enodes) 63.991 * * [simplify]: iters left: 4 (73 enodes) 64.018 * * [simplify]: iters left: 3 (117 enodes) 64.054 * * [simplify]: iters left: 2 (156 enodes) 64.099 * * [simplify]: iters left: 1 (207 enodes) 64.143 * * [simplify]: Extracting #0: cost 1 inf + 0 64.143 * * [simplify]: Extracting #1: cost 18 inf + 0 64.143 * * [simplify]: Extracting #2: cost 39 inf + 2 64.144 * * [simplify]: Extracting #3: cost 43 inf + 213 64.144 * * [simplify]: Extracting #4: cost 14 inf + 3555 64.146 * * [simplify]: Extracting #5: cost 0 inf + 5789 64.148 * [simplify]: Simplified to (- (* (* (* K K) (* K K)) -1/1152) (- (* 1/24 (* K K)) 1)) 64.148 * [simplify]: Simplified (2 2 1 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (- (* (* (* K K) (* K K)) -1/1152) (- (* 1/24 (* K K)) 1))) (* (cbrt (cos (/ K 2))) J)))) 64.148 * * * * [progress]: [ 94 / 95 ] simplifiying candidate # 64.148 * [simplify]: Simplifying (pow (cos (* 1/2 K)) 1/3) 64.148 * * [simplify]: iters left: 4 (6 enodes) 64.150 * * [simplify]: iters left: 3 (25 enodes) 64.155 * * [simplify]: iters left: 2 (39 enodes) 64.166 * * [simplify]: iters left: 1 (69 enodes) 64.183 * * [simplify]: Extracting #0: cost 1 inf + 0 64.183 * * [simplify]: Extracting #1: cost 9 inf + 0 64.183 * * [simplify]: Extracting #2: cost 23 inf + 1 64.184 * * [simplify]: Extracting #3: cost 23 inf + 5 64.184 * * [simplify]: Extracting #4: cost 20 inf + 8 64.184 * * [simplify]: Extracting #5: cost 9 inf + 2778 64.186 * * [simplify]: Extracting #6: cost 0 inf + 6930 64.187 * [simplify]: Simplified to (cbrt (cos (* 1/2 K))) 64.187 * [simplify]: Simplified (2 2 1 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (* 1/2 K)))) (* (cbrt (cos (/ K 2))) J)))) 64.187 * * * * [progress]: [ 95 / 95 ] simplifiying candidate # 64.187 * [simplify]: Simplifying (pow (cos (* 1/2 K)) 1/3) 64.188 * * [simplify]: iters left: 4 (6 enodes) 64.192 * * [simplify]: iters left: 3 (25 enodes) 64.201 * * [simplify]: iters left: 2 (39 enodes) 64.216 * * [simplify]: iters left: 1 (69 enodes) 64.231 * * [simplify]: Extracting #0: cost 1 inf + 0 64.231 * * [simplify]: Extracting #1: cost 9 inf + 0 64.231 * * [simplify]: Extracting #2: cost 23 inf + 1 64.231 * * [simplify]: Extracting #3: cost 23 inf + 5 64.232 * * [simplify]: Extracting #4: cost 20 inf + 8 64.232 * * [simplify]: Extracting #5: cost 9 inf + 2778 64.232 * * [simplify]: Extracting #6: cost 0 inf + 6930 64.233 * [simplify]: Simplified to (cbrt (cos (* 1/2 K))) 64.233 * [simplify]: Simplified (2 2 1 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (* 1/2 K)))) (* (cbrt (cos (/ K 2))) J)))) 64.233 * * * [progress]: adding candidates to table 66.044 * * [progress]: iteration 3 / 4 66.044 * * * [progress]: picking best candidate 66.097 * * * * [pick]: Picked # 66.098 * * * [progress]: localizing error 66.184 * * * [progress]: generating rewritten candidates 66.184 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 66.793 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 66.916 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 66.934 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 66.938 * * * [progress]: generating series expansions 66.938 * * * * [progress]: [ 1 / 4 ] generating series at (2) 66.940 * [backup-simplify]: Simplify (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J))) into (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) 66.940 * [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 66.940 * [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 66.940 * [taylor]: Taking taylor expansion of -2 in J 66.940 * [backup-simplify]: Simplify -2 into -2 66.940 * [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 66.940 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 66.940 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 66.940 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 66.940 * [taylor]: Taking taylor expansion of 1/2 in J 66.940 * [backup-simplify]: Simplify 1/2 into 1/2 66.940 * [taylor]: Taking taylor expansion of K in J 66.940 * [backup-simplify]: Simplify K into K 66.940 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 66.940 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 66.940 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 66.940 * [taylor]: Taking taylor expansion of J in J 66.940 * [backup-simplify]: Simplify 0 into 0 66.940 * [backup-simplify]: Simplify 1 into 1 66.940 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 66.940 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 66.940 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 66.940 * [taylor]: Taking taylor expansion of 1/4 in J 66.940 * [backup-simplify]: Simplify 1/4 into 1/4 66.940 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 66.940 * [taylor]: Taking taylor expansion of (pow U 2) in J 66.941 * [taylor]: Taking taylor expansion of U in J 66.941 * [backup-simplify]: Simplify U into U 66.941 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 66.941 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 66.941 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 66.941 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 66.941 * [taylor]: Taking taylor expansion of 1/2 in J 66.941 * [backup-simplify]: Simplify 1/2 into 1/2 66.941 * [taylor]: Taking taylor expansion of K in J 66.941 * [backup-simplify]: Simplify K into K 66.941 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 66.941 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 66.941 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 66.941 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 66.941 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 66.942 * [backup-simplify]: Simplify (- 0) into 0 66.942 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 66.942 * [taylor]: Taking taylor expansion of (pow J 2) in J 66.942 * [taylor]: Taking taylor expansion of J in J 66.942 * [backup-simplify]: Simplify 0 into 0 66.942 * [backup-simplify]: Simplify 1 into 1 66.943 * [backup-simplify]: Simplify (* U U) into (pow U 2) 66.943 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 66.943 * [backup-simplify]: Simplify (* 1 1) into 1 66.943 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 66.943 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 66.943 * [taylor]: Taking taylor expansion of 1 in J 66.943 * [backup-simplify]: Simplify 1 into 1 66.944 * [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))) 66.944 * [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))) 66.944 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 66.944 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 66.945 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 66.945 * [backup-simplify]: Simplify (+ 0) into 0 66.946 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 66.946 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 66.947 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 66.947 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 66.948 * [backup-simplify]: Simplify (- 0) into 0 66.948 * [backup-simplify]: Simplify (+ 0 0) into 0 66.948 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 66.949 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 66.949 * [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 66.950 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 66.950 * [backup-simplify]: Simplify (+ 0 0) into 0 66.950 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 66.951 * [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 66.951 * [taylor]: Taking taylor expansion of -2 in K 66.951 * [backup-simplify]: Simplify -2 into -2 66.951 * [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 66.951 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 66.951 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 66.951 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 66.951 * [taylor]: Taking taylor expansion of 1/2 in K 66.951 * [backup-simplify]: Simplify 1/2 into 1/2 66.951 * [taylor]: Taking taylor expansion of K in K 66.951 * [backup-simplify]: Simplify 0 into 0 66.951 * [backup-simplify]: Simplify 1 into 1 66.951 * [backup-simplify]: Simplify (* 1/2 0) into 0 66.952 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 66.952 * [taylor]: Taking taylor expansion of J in K 66.952 * [backup-simplify]: Simplify J into J 66.952 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 66.952 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 66.952 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 66.952 * [taylor]: Taking taylor expansion of 1/4 in K 66.952 * [backup-simplify]: Simplify 1/4 into 1/4 66.952 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 66.952 * [taylor]: Taking taylor expansion of (pow U 2) in K 66.952 * [taylor]: Taking taylor expansion of U in K 66.952 * [backup-simplify]: Simplify U into U 66.952 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 66.952 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 66.952 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 66.952 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 66.952 * [taylor]: Taking taylor expansion of 1/2 in K 66.952 * [backup-simplify]: Simplify 1/2 into 1/2 66.952 * [taylor]: Taking taylor expansion of K in K 66.953 * [backup-simplify]: Simplify 0 into 0 66.953 * [backup-simplify]: Simplify 1 into 1 66.953 * [backup-simplify]: Simplify (* 1/2 0) into 0 66.954 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 66.954 * [taylor]: Taking taylor expansion of (pow J 2) in K 66.954 * [taylor]: Taking taylor expansion of J in K 66.954 * [backup-simplify]: Simplify J into J 66.954 * [backup-simplify]: Simplify (* U U) into (pow U 2) 66.954 * [backup-simplify]: Simplify (* 1 1) into 1 66.954 * [backup-simplify]: Simplify (* J J) into (pow J 2) 66.954 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 66.954 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 66.955 * [taylor]: Taking taylor expansion of 1 in K 66.955 * [backup-simplify]: Simplify 1 into 1 66.955 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 66.955 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 66.955 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 66.955 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 66.955 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 66.956 * [backup-simplify]: Simplify (+ 0) into 0 66.956 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 66.956 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 66.957 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 66.957 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 66.957 * [backup-simplify]: Simplify (+ 0 0) into 0 66.957 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 66.957 * [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 66.957 * [taylor]: Taking taylor expansion of -2 in U 66.957 * [backup-simplify]: Simplify -2 into -2 66.957 * [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 66.957 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 66.957 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 66.957 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 66.957 * [taylor]: Taking taylor expansion of 1/2 in U 66.957 * [backup-simplify]: Simplify 1/2 into 1/2 66.957 * [taylor]: Taking taylor expansion of K in U 66.957 * [backup-simplify]: Simplify K into K 66.957 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 66.958 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 66.958 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 66.958 * [taylor]: Taking taylor expansion of J in U 66.958 * [backup-simplify]: Simplify J into J 66.958 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 66.958 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 66.958 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 66.958 * [taylor]: Taking taylor expansion of 1/4 in U 66.958 * [backup-simplify]: Simplify 1/4 into 1/4 66.958 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 66.958 * [taylor]: Taking taylor expansion of (pow U 2) in U 66.958 * [taylor]: Taking taylor expansion of U in U 66.958 * [backup-simplify]: Simplify 0 into 0 66.958 * [backup-simplify]: Simplify 1 into 1 66.958 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 66.958 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 66.958 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 66.958 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 66.958 * [taylor]: Taking taylor expansion of 1/2 in U 66.958 * [backup-simplify]: Simplify 1/2 into 1/2 66.958 * [taylor]: Taking taylor expansion of K in U 66.958 * [backup-simplify]: Simplify K into K 66.958 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 66.958 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 66.958 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 66.958 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 66.958 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 66.958 * [backup-simplify]: Simplify (- 0) into 0 66.958 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 66.958 * [taylor]: Taking taylor expansion of (pow J 2) in U 66.958 * [taylor]: Taking taylor expansion of J in U 66.958 * [backup-simplify]: Simplify J into J 66.959 * [backup-simplify]: Simplify (* 1 1) into 1 66.959 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 66.959 * [backup-simplify]: Simplify (* J J) into (pow J 2) 66.959 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 66.959 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 66.959 * [taylor]: Taking taylor expansion of 1 in U 66.959 * [backup-simplify]: Simplify 1 into 1 66.959 * [backup-simplify]: Simplify (+ 0 1) into 1 66.960 * [backup-simplify]: Simplify (sqrt 1) into 1 66.960 * [backup-simplify]: Simplify (+ 0 0) into 0 66.960 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 66.960 * [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 66.960 * [taylor]: Taking taylor expansion of -2 in U 66.960 * [backup-simplify]: Simplify -2 into -2 66.960 * [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 66.960 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 66.960 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 66.960 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 66.960 * [taylor]: Taking taylor expansion of 1/2 in U 66.960 * [backup-simplify]: Simplify 1/2 into 1/2 66.960 * [taylor]: Taking taylor expansion of K in U 66.960 * [backup-simplify]: Simplify K into K 66.960 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 66.960 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 66.961 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 66.961 * [taylor]: Taking taylor expansion of J in U 66.961 * [backup-simplify]: Simplify J into J 66.961 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 66.961 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 66.961 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 66.961 * [taylor]: Taking taylor expansion of 1/4 in U 66.961 * [backup-simplify]: Simplify 1/4 into 1/4 66.961 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 66.961 * [taylor]: Taking taylor expansion of (pow U 2) in U 66.961 * [taylor]: Taking taylor expansion of U in U 66.961 * [backup-simplify]: Simplify 0 into 0 66.961 * [backup-simplify]: Simplify 1 into 1 66.961 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 66.961 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 66.961 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 66.961 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 66.961 * [taylor]: Taking taylor expansion of 1/2 in U 66.961 * [backup-simplify]: Simplify 1/2 into 1/2 66.961 * [taylor]: Taking taylor expansion of K in U 66.961 * [backup-simplify]: Simplify K into K 66.961 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 66.961 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 66.961 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 66.961 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 66.961 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 66.962 * [backup-simplify]: Simplify (- 0) into 0 66.962 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 66.962 * [taylor]: Taking taylor expansion of (pow J 2) in U 66.962 * [taylor]: Taking taylor expansion of J in U 66.962 * [backup-simplify]: Simplify J into J 66.962 * [backup-simplify]: Simplify (* 1 1) into 1 66.962 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 66.962 * [backup-simplify]: Simplify (* J J) into (pow J 2) 66.962 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 66.962 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 66.962 * [taylor]: Taking taylor expansion of 1 in U 66.962 * [backup-simplify]: Simplify 1 into 1 66.963 * [backup-simplify]: Simplify (+ 0 1) into 1 66.963 * [backup-simplify]: Simplify (sqrt 1) into 1 66.963 * [backup-simplify]: Simplify (+ 0 0) into 0 66.963 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 66.964 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 66.964 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 66.964 * [backup-simplify]: Simplify (- 0) into 0 66.964 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 66.964 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 66.964 * [backup-simplify]: Simplify (* (* (cos (* 1/2 K)) J) 1) into (* (cos (* 1/2 K)) J) 66.964 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J)) 66.964 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in K 66.964 * [taylor]: Taking taylor expansion of -2 in K 66.964 * [backup-simplify]: Simplify -2 into -2 66.964 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 66.964 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 66.964 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 66.964 * [taylor]: Taking taylor expansion of 1/2 in K 66.964 * [backup-simplify]: Simplify 1/2 into 1/2 66.964 * [taylor]: Taking taylor expansion of K in K 66.964 * [backup-simplify]: Simplify 0 into 0 66.964 * [backup-simplify]: Simplify 1 into 1 66.965 * [backup-simplify]: Simplify (* 1/2 0) into 0 66.965 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 66.965 * [taylor]: Taking taylor expansion of J in K 66.965 * [backup-simplify]: Simplify J into J 66.965 * [backup-simplify]: Simplify (* 1 J) into J 66.965 * [backup-simplify]: Simplify (* -2 J) into (* -2 J) 66.965 * [taylor]: Taking taylor expansion of (* -2 J) in J 66.965 * [taylor]: Taking taylor expansion of -2 in J 66.965 * [backup-simplify]: Simplify -2 into -2 66.965 * [taylor]: Taking taylor expansion of J in J 66.965 * [backup-simplify]: Simplify 0 into 0 66.965 * [backup-simplify]: Simplify 1 into 1 66.965 * [backup-simplify]: Simplify (+ 0) into 0 66.966 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 66.966 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 66.966 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 66.967 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 66.967 * [backup-simplify]: Simplify (- 0) into 0 66.967 * [backup-simplify]: Simplify (+ 0 0) into 0 66.967 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 66.968 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (* 0 1)) into 0 66.968 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0 66.968 * [taylor]: Taking taylor expansion of 0 in K 66.968 * [backup-simplify]: Simplify 0 into 0 66.968 * [taylor]: Taking taylor expansion of 0 in J 66.968 * [backup-simplify]: Simplify 0 into 0 66.968 * [backup-simplify]: Simplify (+ 0) into 0 66.969 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 66.969 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 J)) into 0 66.969 * [taylor]: Taking taylor expansion of 0 in J 66.969 * [backup-simplify]: Simplify 0 into 0 66.969 * [backup-simplify]: Simplify (* -2 0) into 0 66.969 * [backup-simplify]: Simplify 0 into 0 66.969 * [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))) 66.969 * [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)))) 66.970 * [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))) 66.971 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 66.971 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 66.972 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 66.972 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 66.973 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 66.973 * [backup-simplify]: Simplify (- 0) into 0 66.973 * [backup-simplify]: Simplify (+ 0 0) into 0 66.973 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0 66.974 * [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))) 66.974 * [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)))) 66.974 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in K 66.974 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in K 66.974 * [taylor]: Taking taylor expansion of 1/4 in K 66.974 * [backup-simplify]: Simplify 1/4 into 1/4 66.974 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in K 66.974 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 66.974 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 66.974 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 66.974 * [taylor]: Taking taylor expansion of 1/2 in K 66.974 * [backup-simplify]: Simplify 1/2 into 1/2 66.974 * [taylor]: Taking taylor expansion of K in K 66.974 * [backup-simplify]: Simplify 0 into 0 66.975 * [backup-simplify]: Simplify 1 into 1 66.975 * [backup-simplify]: Simplify (* 1/2 0) into 0 66.975 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 66.975 * [taylor]: Taking taylor expansion of J in K 66.975 * [backup-simplify]: Simplify J into J 66.975 * [backup-simplify]: Simplify (* 1 J) into J 66.975 * [backup-simplify]: Simplify (/ 1 J) into (/ 1 J) 66.975 * [backup-simplify]: Simplify (* 1/4 (/ 1 J)) into (/ 1/4 J) 66.975 * [backup-simplify]: Simplify (- (/ 1/4 J)) into (- (* 1/4 (/ 1 J))) 66.975 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 J))) in J 66.975 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 J)) in J 66.975 * [taylor]: Taking taylor expansion of 1/4 in J 66.975 * [backup-simplify]: Simplify 1/4 into 1/4 66.975 * [taylor]: Taking taylor expansion of (/ 1 J) in J 66.975 * [taylor]: Taking taylor expansion of J in J 66.976 * [backup-simplify]: Simplify 0 into 0 66.976 * [backup-simplify]: Simplify 1 into 1 66.976 * [backup-simplify]: Simplify (/ 1 1) into 1 66.976 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 66.976 * [backup-simplify]: Simplify (- 1/4) into -1/4 66.976 * [backup-simplify]: Simplify -1/4 into -1/4 66.976 * [taylor]: Taking taylor expansion of 0 in J 66.976 * [backup-simplify]: Simplify 0 into 0 66.977 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 66.977 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J)) 66.978 * [backup-simplify]: Simplify (+ (* -2 (- (* 1/8 J))) (+ (* 0 0) (* 0 J))) into (* 1/4 J) 66.978 * [taylor]: Taking taylor expansion of (* 1/4 J) in J 66.978 * [taylor]: Taking taylor expansion of 1/4 in J 66.978 * [backup-simplify]: Simplify 1/4 into 1/4 66.978 * [taylor]: Taking taylor expansion of J in J 66.978 * [backup-simplify]: Simplify 0 into 0 66.978 * [backup-simplify]: Simplify 1 into 1 66.978 * [backup-simplify]: Simplify 0 into 0 66.978 * [backup-simplify]: Simplify 0 into 0 66.978 * [backup-simplify]: Simplify (+ (* -2 1) (* 0 0)) into -2 66.978 * [backup-simplify]: Simplify -2 into -2 66.979 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 66.979 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 66.979 * [backup-simplify]: Simplify (+ 0) into 0 66.979 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 66.980 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 66.980 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 66.980 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 66.981 * [backup-simplify]: Simplify (- 0) into 0 66.981 * [backup-simplify]: Simplify (+ 0 0) into 0 66.981 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 66.981 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 66.981 * [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 66.982 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 66.982 * [backup-simplify]: Simplify (+ 0 0) into 0 66.982 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 66.983 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 66.983 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 66.984 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 66.985 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 66.985 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 66.986 * [backup-simplify]: Simplify (- 0) into 0 66.986 * [backup-simplify]: Simplify (+ 0 0) into 0 66.986 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 66.987 * [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 66.987 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0 66.988 * [taylor]: Taking taylor expansion of 0 in K 66.988 * [backup-simplify]: Simplify 0 into 0 66.988 * [taylor]: Taking taylor expansion of 0 in J 66.988 * [backup-simplify]: Simplify 0 into 0 66.988 * [backup-simplify]: Simplify (+ 0) into 0 66.988 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 66.988 * [backup-simplify]: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 66.989 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 J))) into 0 66.989 * [backup-simplify]: Simplify (- 0) into 0 66.989 * [taylor]: Taking taylor expansion of 0 in J 66.989 * [backup-simplify]: Simplify 0 into 0 66.989 * [taylor]: Taking taylor expansion of 0 in J 66.989 * [backup-simplify]: Simplify 0 into 0 66.989 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 66.990 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 66.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0 66.991 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (- (* 1/8 J))) (+ (* 0 0) (* 0 J)))) into 0 66.992 * [taylor]: Taking taylor expansion of 0 in J 66.992 * [backup-simplify]: Simplify 0 into 0 66.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 66.992 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 66.993 * [backup-simplify]: Simplify (- 0) into 0 66.993 * [backup-simplify]: Simplify 0 into 0 66.993 * [backup-simplify]: Simplify 0 into 0 66.993 * [backup-simplify]: Simplify (* 1/4 0) into 0 66.993 * [backup-simplify]: Simplify 0 into 0 66.993 * [backup-simplify]: Simplify 0 into 0 66.993 * [backup-simplify]: Simplify 0 into 0 66.994 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0 66.994 * [backup-simplify]: Simplify 0 into 0 66.994 * [backup-simplify]: Simplify (+ (* -2 (* J (* 1 1))) (* -1/4 (* (/ 1 J) (* 1 (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 66.995 * [backup-simplify]: Simplify (* (* (sqrt (+ (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) 1)) -2) (* (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (* (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2)))) (cbrt (cos (/ (/ 1 K) 2)))))) (* (cbrt (cos (/ (/ 1 K) 2))) (/ 1 J)))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) 66.995 * [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 66.995 * [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 66.995 * [taylor]: Taking taylor expansion of -2 in J 66.995 * [backup-simplify]: Simplify -2 into -2 66.995 * [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 66.995 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 66.995 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 66.995 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 66.995 * [taylor]: Taking taylor expansion of 1/4 in J 66.995 * [backup-simplify]: Simplify 1/4 into 1/4 66.995 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 66.995 * [taylor]: Taking taylor expansion of (pow J 2) in J 66.995 * [taylor]: Taking taylor expansion of J in J 66.995 * [backup-simplify]: Simplify 0 into 0 66.995 * [backup-simplify]: Simplify 1 into 1 66.995 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 66.995 * [taylor]: Taking taylor expansion of (pow U 2) in J 66.995 * [taylor]: Taking taylor expansion of U in J 66.995 * [backup-simplify]: Simplify U into U 66.995 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 66.995 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 66.995 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 66.995 * [taylor]: Taking taylor expansion of 1/2 in J 66.995 * [backup-simplify]: Simplify 1/2 into 1/2 66.995 * [taylor]: Taking taylor expansion of K in J 66.995 * [backup-simplify]: Simplify K into K 66.995 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 66.995 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 66.995 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 66.995 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 66.995 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 66.996 * [backup-simplify]: Simplify (- 0) into 0 66.996 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 66.996 * [backup-simplify]: Simplify (* 1 1) into 1 66.996 * [backup-simplify]: Simplify (* U U) into (pow U 2) 66.996 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 66.996 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 66.996 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 66.996 * [taylor]: Taking taylor expansion of 1 in J 66.996 * [backup-simplify]: Simplify 1 into 1 66.997 * [backup-simplify]: Simplify (+ 0 1) into 1 66.997 * [backup-simplify]: Simplify (sqrt 1) into 1 66.997 * [backup-simplify]: Simplify (+ 0 0) into 0 66.998 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 66.998 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 66.998 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 66.998 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 66.998 * [taylor]: Taking taylor expansion of 1/2 in J 66.998 * [backup-simplify]: Simplify 1/2 into 1/2 66.998 * [taylor]: Taking taylor expansion of K in J 66.998 * [backup-simplify]: Simplify K into K 66.998 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 66.998 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 66.998 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 66.998 * [taylor]: Taking taylor expansion of J in J 66.998 * [backup-simplify]: Simplify 0 into 0 66.998 * [backup-simplify]: Simplify 1 into 1 66.998 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 66.998 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 66.998 * [backup-simplify]: Simplify (- 0) into 0 66.998 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 66.998 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 66.998 * [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 66.998 * [taylor]: Taking taylor expansion of -2 in K 66.998 * [backup-simplify]: Simplify -2 into -2 66.998 * [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 66.998 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 66.998 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 66.998 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 66.998 * [taylor]: Taking taylor expansion of 1/4 in K 66.998 * [backup-simplify]: Simplify 1/4 into 1/4 66.999 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 66.999 * [taylor]: Taking taylor expansion of (pow J 2) in K 66.999 * [taylor]: Taking taylor expansion of J in K 66.999 * [backup-simplify]: Simplify J into J 66.999 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 66.999 * [taylor]: Taking taylor expansion of (pow U 2) in K 66.999 * [taylor]: Taking taylor expansion of U in K 66.999 * [backup-simplify]: Simplify U into U 66.999 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 66.999 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 66.999 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 66.999 * [taylor]: Taking taylor expansion of 1/2 in K 66.999 * [backup-simplify]: Simplify 1/2 into 1/2 66.999 * [taylor]: Taking taylor expansion of K in K 66.999 * [backup-simplify]: Simplify 0 into 0 66.999 * [backup-simplify]: Simplify 1 into 1 66.999 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 66.999 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 66.999 * [backup-simplify]: Simplify (* J J) into (pow J 2) 66.999 * [backup-simplify]: Simplify (* U U) into (pow U 2) 66.999 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 66.999 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 66.999 * [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))) 66.999 * [taylor]: Taking taylor expansion of 1 in K 66.999 * [backup-simplify]: Simplify 1 into 1 67.000 * [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)))) 67.000 * [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) 67.000 * [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)) 67.000 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 67.000 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 67.000 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 67.000 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 67.001 * [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 67.001 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 67.001 * [backup-simplify]: Simplify (+ 0 0) into 0 67.002 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 67.002 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 67.002 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 67.002 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 67.002 * [taylor]: Taking taylor expansion of 1/2 in K 67.002 * [backup-simplify]: Simplify 1/2 into 1/2 67.002 * [taylor]: Taking taylor expansion of K in K 67.002 * [backup-simplify]: Simplify 0 into 0 67.002 * [backup-simplify]: Simplify 1 into 1 67.002 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 67.002 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 67.002 * [taylor]: Taking taylor expansion of J in K 67.002 * [backup-simplify]: Simplify J into J 67.002 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 67.002 * [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 67.002 * [taylor]: Taking taylor expansion of -2 in U 67.002 * [backup-simplify]: Simplify -2 into -2 67.002 * [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 67.002 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 67.002 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 67.002 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 67.002 * [taylor]: Taking taylor expansion of 1/4 in U 67.002 * [backup-simplify]: Simplify 1/4 into 1/4 67.002 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 67.002 * [taylor]: Taking taylor expansion of (pow J 2) in U 67.002 * [taylor]: Taking taylor expansion of J in U 67.002 * [backup-simplify]: Simplify J into J 67.002 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 67.002 * [taylor]: Taking taylor expansion of (pow U 2) in U 67.003 * [taylor]: Taking taylor expansion of U in U 67.003 * [backup-simplify]: Simplify 0 into 0 67.003 * [backup-simplify]: Simplify 1 into 1 67.003 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 67.003 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 67.003 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 67.003 * [taylor]: Taking taylor expansion of 1/2 in U 67.003 * [backup-simplify]: Simplify 1/2 into 1/2 67.003 * [taylor]: Taking taylor expansion of K in U 67.003 * [backup-simplify]: Simplify K into K 67.003 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 67.003 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 67.003 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 67.003 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 67.003 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 67.003 * [backup-simplify]: Simplify (- 0) into 0 67.003 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 67.003 * [backup-simplify]: Simplify (* J J) into (pow J 2) 67.003 * [backup-simplify]: Simplify (* 1 1) into 1 67.004 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 67.004 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 67.004 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 67.004 * [taylor]: Taking taylor expansion of 1 in U 67.004 * [backup-simplify]: Simplify 1 into 1 67.004 * [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))) 67.004 * [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))) 67.004 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 67.004 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 67.004 * [backup-simplify]: Simplify (+ 0) into 0 67.005 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 67.005 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 67.005 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 67.006 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 67.006 * [backup-simplify]: Simplify (- 0) into 0 67.006 * [backup-simplify]: Simplify (+ 0 0) into 0 67.006 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 67.007 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 67.007 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 67.007 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 67.007 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 67.008 * [backup-simplify]: Simplify (+ 0 0) into 0 67.008 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 67.008 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 67.008 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 67.008 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 67.008 * [taylor]: Taking taylor expansion of 1/2 in U 67.008 * [backup-simplify]: Simplify 1/2 into 1/2 67.008 * [taylor]: Taking taylor expansion of K in U 67.008 * [backup-simplify]: Simplify K into K 67.008 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 67.008 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 67.009 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 67.009 * [taylor]: Taking taylor expansion of J in U 67.009 * [backup-simplify]: Simplify J into J 67.009 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 67.009 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 67.009 * [backup-simplify]: Simplify (- 0) into 0 67.009 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 67.009 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 67.009 * [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 67.009 * [taylor]: Taking taylor expansion of -2 in U 67.009 * [backup-simplify]: Simplify -2 into -2 67.009 * [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 67.009 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 67.009 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 67.010 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 67.010 * [taylor]: Taking taylor expansion of 1/4 in U 67.010 * [backup-simplify]: Simplify 1/4 into 1/4 67.010 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 67.010 * [taylor]: Taking taylor expansion of (pow J 2) in U 67.010 * [taylor]: Taking taylor expansion of J in U 67.010 * [backup-simplify]: Simplify J into J 67.010 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 67.010 * [taylor]: Taking taylor expansion of (pow U 2) in U 67.010 * [taylor]: Taking taylor expansion of U in U 67.010 * [backup-simplify]: Simplify 0 into 0 67.010 * [backup-simplify]: Simplify 1 into 1 67.010 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 67.010 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 67.010 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 67.010 * [taylor]: Taking taylor expansion of 1/2 in U 67.010 * [backup-simplify]: Simplify 1/2 into 1/2 67.010 * [taylor]: Taking taylor expansion of K in U 67.010 * [backup-simplify]: Simplify K into K 67.010 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 67.010 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 67.010 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 67.010 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 67.010 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 67.011 * [backup-simplify]: Simplify (- 0) into 0 67.011 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 67.011 * [backup-simplify]: Simplify (* J J) into (pow J 2) 67.011 * [backup-simplify]: Simplify (* 1 1) into 1 67.012 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 67.012 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 67.012 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 67.012 * [taylor]: Taking taylor expansion of 1 in U 67.012 * [backup-simplify]: Simplify 1 into 1 67.012 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 67.012 * [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))) 67.012 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 67.012 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 67.012 * [backup-simplify]: Simplify (+ 0) into 0 67.013 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 67.013 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 67.013 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 67.014 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 67.014 * [backup-simplify]: Simplify (- 0) into 0 67.014 * [backup-simplify]: Simplify (+ 0 0) into 0 67.014 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 67.015 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 67.015 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 67.015 * [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 67.016 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 67.016 * [backup-simplify]: Simplify (+ 0 0) into 0 67.016 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 67.016 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 67.016 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 67.016 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 67.016 * [taylor]: Taking taylor expansion of 1/2 in U 67.016 * [backup-simplify]: Simplify 1/2 into 1/2 67.016 * [taylor]: Taking taylor expansion of K in U 67.016 * [backup-simplify]: Simplify K into K 67.016 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 67.016 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 67.016 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 67.016 * [taylor]: Taking taylor expansion of J in U 67.016 * [backup-simplify]: Simplify J into J 67.016 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 67.016 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 67.017 * [backup-simplify]: Simplify (- 0) into 0 67.017 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 67.017 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 67.017 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ (cos (/ 1/2 K)) J)) into 1/2 67.017 * [backup-simplify]: Simplify (* -2 1/2) into -1 67.017 * [taylor]: Taking taylor expansion of -1 in K 67.017 * [backup-simplify]: Simplify -1 into -1 67.017 * [taylor]: Taking taylor expansion of -1 in J 67.017 * [backup-simplify]: Simplify -1 into -1 67.018 * [backup-simplify]: Simplify (+ 0) into 0 67.018 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 67.018 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 67.019 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 67.019 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 67.019 * [backup-simplify]: Simplify (- 0) into 0 67.020 * [backup-simplify]: Simplify (+ 0 0) into 0 67.020 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 67.020 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (/ (cos (/ 1/2 K)) J))) into 0 67.020 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0 67.020 * [taylor]: Taking taylor expansion of 0 in K 67.020 * [backup-simplify]: Simplify 0 into 0 67.020 * [taylor]: Taking taylor expansion of 0 in J 67.020 * [backup-simplify]: Simplify 0 into 0 67.020 * [taylor]: Taking taylor expansion of 0 in J 67.020 * [backup-simplify]: Simplify 0 into 0 67.020 * [backup-simplify]: Simplify -1 into -1 67.021 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 67.021 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 67.022 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 67.022 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 67.022 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 67.023 * [backup-simplify]: Simplify (- 0) into 0 67.023 * [backup-simplify]: Simplify (+ 0 0) into 0 67.023 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 67.026 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 67.027 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 67.027 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 67.028 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 67.028 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 67.028 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 67.029 * [backup-simplify]: Simplify (- 0) into 0 67.029 * [backup-simplify]: Simplify (+ 0 0) into 0 67.029 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 67.030 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 67.030 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 67.030 * [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 67.031 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 67.031 * [backup-simplify]: Simplify (+ 0 1) into 1 67.032 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 67.032 * [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)) 67.033 * [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)))) 67.033 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in K 67.033 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in K 67.033 * [taylor]: Taking taylor expansion of 2 in K 67.033 * [backup-simplify]: Simplify 2 into 2 67.033 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in K 67.033 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 67.033 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 67.033 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 67.033 * [taylor]: Taking taylor expansion of 1/2 in K 67.033 * [backup-simplify]: Simplify 1/2 into 1/2 67.033 * [taylor]: Taking taylor expansion of K in K 67.033 * [backup-simplify]: Simplify 0 into 0 67.033 * [backup-simplify]: Simplify 1 into 1 67.033 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 67.033 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 67.033 * [taylor]: Taking taylor expansion of (pow J 2) in K 67.033 * [taylor]: Taking taylor expansion of J in K 67.034 * [backup-simplify]: Simplify J into J 67.034 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 67.034 * [backup-simplify]: Simplify (* J J) into (pow J 2) 67.034 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 67.034 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) into (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 67.034 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) 67.034 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J 67.034 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J 67.034 * [taylor]: Taking taylor expansion of 2 in J 67.034 * [backup-simplify]: Simplify 2 into 2 67.034 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J 67.034 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 67.034 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 67.034 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 67.034 * [taylor]: Taking taylor expansion of 1/2 in J 67.034 * [backup-simplify]: Simplify 1/2 into 1/2 67.034 * [taylor]: Taking taylor expansion of K in J 67.034 * [backup-simplify]: Simplify K into K 67.034 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 67.034 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 67.034 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 67.034 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 67.034 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 67.035 * [backup-simplify]: Simplify (- 0) into 0 67.035 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 67.035 * [taylor]: Taking taylor expansion of (pow J 2) in J 67.035 * [taylor]: Taking taylor expansion of J in J 67.035 * [backup-simplify]: Simplify 0 into 0 67.035 * [backup-simplify]: Simplify 1 into 1 67.035 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 67.035 * [backup-simplify]: Simplify (* 1 1) into 1 67.035 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 67.035 * [backup-simplify]: Simplify (+ 0) into 0 67.036 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 67.036 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 67.036 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 67.037 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 67.037 * [backup-simplify]: Simplify (- 0) into 0 67.037 * [backup-simplify]: Simplify (+ 0 0) into 0 67.038 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 67.038 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 67.039 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 67.039 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 67.039 * [backup-simplify]: Simplify (- 0) into 0 67.039 * [backup-simplify]: Simplify 0 into 0 67.039 * [taylor]: Taking taylor expansion of 0 in J 67.039 * [backup-simplify]: Simplify 0 into 0 67.039 * [taylor]: Taking taylor expansion of 0 in J 67.039 * [backup-simplify]: Simplify 0 into 0 67.039 * [backup-simplify]: Simplify 0 into 0 67.039 * [backup-simplify]: Simplify 0 into 0 67.039 * [backup-simplify]: Simplify 0 into 0 67.040 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 67.041 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 67.041 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 67.042 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 67.042 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 67.042 * [backup-simplify]: Simplify (- 0) into 0 67.043 * [backup-simplify]: Simplify (+ 0 0) into 0 67.043 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 67.043 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 67.044 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 67.044 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 67.044 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 67.045 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 67.046 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 67.046 * [backup-simplify]: Simplify (- 0) into 0 67.046 * [backup-simplify]: Simplify (+ 0 0) into 0 67.047 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 67.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 67.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 67.048 * [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 67.049 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 67.049 * [backup-simplify]: Simplify (+ 0 0) into 0 67.050 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 67.050 * [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 67.051 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 67.051 * [taylor]: Taking taylor expansion of 0 in K 67.051 * [backup-simplify]: Simplify 0 into 0 67.051 * [taylor]: Taking taylor expansion of 0 in J 67.051 * [backup-simplify]: Simplify 0 into 0 67.051 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 67.051 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 67.051 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 67.052 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) into 0 67.052 * [backup-simplify]: Simplify (- 0) into 0 67.052 * [taylor]: Taking taylor expansion of 0 in J 67.052 * [backup-simplify]: Simplify 0 into 0 67.052 * [taylor]: Taking taylor expansion of 0 in J 67.052 * [backup-simplify]: Simplify 0 into 0 67.052 * [taylor]: Taking taylor expansion of 0 in J 67.052 * [backup-simplify]: Simplify 0 into 0 67.053 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 67.053 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 67.053 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 67.054 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 67.054 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 67.054 * [backup-simplify]: Simplify (- 0) into 0 67.054 * [backup-simplify]: Simplify (+ 0 0) into 0 67.055 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 67.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 67.056 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 67.057 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 67.057 * [backup-simplify]: Simplify (- 0) into 0 67.057 * [backup-simplify]: Simplify 0 into 0 67.057 * [backup-simplify]: Simplify 0 into 0 67.057 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U) 67.058 * [backup-simplify]: Simplify (* (* (sqrt (+ (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) 1)) -2) (* (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (* (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2)))) (cbrt (cos (/ (/ 1 (- K)) 2)))))) (* (cbrt (cos (/ (/ 1 (- K)) 2))) (/ 1 (- J))))) into (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) 67.058 * [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 67.058 * [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 67.058 * [taylor]: Taking taylor expansion of 2 in J 67.058 * [backup-simplify]: Simplify 2 into 2 67.058 * [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 67.058 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 67.058 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 67.058 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 67.058 * [taylor]: Taking taylor expansion of -1/2 in J 67.058 * [backup-simplify]: Simplify -1/2 into -1/2 67.058 * [taylor]: Taking taylor expansion of K in J 67.058 * [backup-simplify]: Simplify K into K 67.058 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 67.058 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 67.058 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 67.058 * [taylor]: Taking taylor expansion of J in J 67.058 * [backup-simplify]: Simplify 0 into 0 67.058 * [backup-simplify]: Simplify 1 into 1 67.058 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 67.058 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 67.059 * [backup-simplify]: Simplify (- 0) into 0 67.059 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 67.059 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 67.059 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 67.059 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 67.059 * [taylor]: Taking taylor expansion of 1 in J 67.059 * [backup-simplify]: Simplify 1 into 1 67.059 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 67.059 * [taylor]: Taking taylor expansion of 1/4 in J 67.059 * [backup-simplify]: Simplify 1/4 into 1/4 67.059 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 67.059 * [taylor]: Taking taylor expansion of (pow J 2) in J 67.059 * [taylor]: Taking taylor expansion of J in J 67.059 * [backup-simplify]: Simplify 0 into 0 67.059 * [backup-simplify]: Simplify 1 into 1 67.059 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 67.059 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 67.059 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 67.059 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 67.059 * [taylor]: Taking taylor expansion of -1/2 in J 67.059 * [backup-simplify]: Simplify -1/2 into -1/2 67.059 * [taylor]: Taking taylor expansion of K in J 67.059 * [backup-simplify]: Simplify K into K 67.059 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 67.059 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 67.059 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 67.059 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 67.059 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 67.059 * [backup-simplify]: Simplify (- 0) into 0 67.059 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 67.060 * [taylor]: Taking taylor expansion of (pow U 2) in J 67.060 * [taylor]: Taking taylor expansion of U in J 67.060 * [backup-simplify]: Simplify U into U 67.060 * [backup-simplify]: Simplify (* 1 1) into 1 67.060 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 67.060 * [backup-simplify]: Simplify (* U U) into (pow U 2) 67.060 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 67.060 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 67.060 * [backup-simplify]: Simplify (+ 1 0) into 1 67.061 * [backup-simplify]: Simplify (sqrt 1) into 1 67.061 * [backup-simplify]: Simplify (+ 0 0) into 0 67.062 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 67.062 * [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 67.062 * [taylor]: Taking taylor expansion of 2 in K 67.062 * [backup-simplify]: Simplify 2 into 2 67.062 * [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 67.062 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 67.062 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 67.062 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 67.062 * [taylor]: Taking taylor expansion of -1/2 in K 67.062 * [backup-simplify]: Simplify -1/2 into -1/2 67.062 * [taylor]: Taking taylor expansion of K in K 67.062 * [backup-simplify]: Simplify 0 into 0 67.062 * [backup-simplify]: Simplify 1 into 1 67.062 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 67.062 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 67.062 * [taylor]: Taking taylor expansion of J in K 67.062 * [backup-simplify]: Simplify J into J 67.062 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 67.062 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 67.062 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 67.062 * [taylor]: Taking taylor expansion of 1 in K 67.062 * [backup-simplify]: Simplify 1 into 1 67.062 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 67.062 * [taylor]: Taking taylor expansion of 1/4 in K 67.062 * [backup-simplify]: Simplify 1/4 into 1/4 67.062 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 67.062 * [taylor]: Taking taylor expansion of (pow J 2) in K 67.062 * [taylor]: Taking taylor expansion of J in K 67.062 * [backup-simplify]: Simplify J into J 67.062 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 67.062 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 67.062 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 67.062 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 67.062 * [taylor]: Taking taylor expansion of -1/2 in K 67.062 * [backup-simplify]: Simplify -1/2 into -1/2 67.062 * [taylor]: Taking taylor expansion of K in K 67.062 * [backup-simplify]: Simplify 0 into 0 67.063 * [backup-simplify]: Simplify 1 into 1 67.063 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 67.063 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 67.063 * [taylor]: Taking taylor expansion of (pow U 2) in K 67.063 * [taylor]: Taking taylor expansion of U in K 67.063 * [backup-simplify]: Simplify U into U 67.063 * [backup-simplify]: Simplify (* J J) into (pow J 2) 67.063 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 67.063 * [backup-simplify]: Simplify (* U U) into (pow U 2) 67.063 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 67.063 * [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))) 67.063 * [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)))) 67.064 * [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))))) 67.064 * [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)))))) 67.064 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 67.064 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 67.064 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 67.064 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 67.064 * [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 67.065 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 67.065 * [backup-simplify]: Simplify (+ 0 0) into 0 67.065 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 67.065 * [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 67.065 * [taylor]: Taking taylor expansion of 2 in U 67.065 * [backup-simplify]: Simplify 2 into 2 67.066 * [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 67.066 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 67.066 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 67.066 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 67.066 * [taylor]: Taking taylor expansion of -1/2 in U 67.066 * [backup-simplify]: Simplify -1/2 into -1/2 67.066 * [taylor]: Taking taylor expansion of K in U 67.066 * [backup-simplify]: Simplify K into K 67.066 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 67.066 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 67.066 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 67.066 * [taylor]: Taking taylor expansion of J in U 67.066 * [backup-simplify]: Simplify J into J 67.066 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 67.066 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 67.066 * [backup-simplify]: Simplify (- 0) into 0 67.066 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 67.066 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 67.066 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 67.066 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 67.066 * [taylor]: Taking taylor expansion of 1 in U 67.066 * [backup-simplify]: Simplify 1 into 1 67.066 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 67.066 * [taylor]: Taking taylor expansion of 1/4 in U 67.066 * [backup-simplify]: Simplify 1/4 into 1/4 67.066 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 67.066 * [taylor]: Taking taylor expansion of (pow J 2) in U 67.066 * [taylor]: Taking taylor expansion of J in U 67.066 * [backup-simplify]: Simplify J into J 67.066 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 67.066 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 67.066 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 67.067 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 67.067 * [taylor]: Taking taylor expansion of -1/2 in U 67.067 * [backup-simplify]: Simplify -1/2 into -1/2 67.067 * [taylor]: Taking taylor expansion of K in U 67.067 * [backup-simplify]: Simplify K into K 67.067 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 67.067 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 67.067 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 67.067 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 67.067 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 67.067 * [backup-simplify]: Simplify (- 0) into 0 67.067 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 67.067 * [taylor]: Taking taylor expansion of (pow U 2) in U 67.067 * [taylor]: Taking taylor expansion of U in U 67.067 * [backup-simplify]: Simplify 0 into 0 67.067 * [backup-simplify]: Simplify 1 into 1 67.067 * [backup-simplify]: Simplify (* J J) into (pow J 2) 67.067 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 67.068 * [backup-simplify]: Simplify (* 1 1) into 1 67.068 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 67.068 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 67.068 * [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))) 67.068 * [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))) 67.068 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 67.068 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 67.069 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 67.069 * [backup-simplify]: Simplify (+ 0) into 0 67.069 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 67.069 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 67.070 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 67.070 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 67.070 * [backup-simplify]: Simplify (- 0) into 0 67.070 * [backup-simplify]: Simplify (+ 0 0) into 0 67.071 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 67.071 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 67.071 * [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 67.072 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 67.072 * [backup-simplify]: Simplify (+ 0 0) into 0 67.072 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 67.072 * [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 67.072 * [taylor]: Taking taylor expansion of 2 in U 67.072 * [backup-simplify]: Simplify 2 into 2 67.072 * [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 67.072 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 67.072 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 67.072 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 67.072 * [taylor]: Taking taylor expansion of -1/2 in U 67.072 * [backup-simplify]: Simplify -1/2 into -1/2 67.072 * [taylor]: Taking taylor expansion of K in U 67.072 * [backup-simplify]: Simplify K into K 67.072 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 67.072 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 67.072 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 67.072 * [taylor]: Taking taylor expansion of J in U 67.072 * [backup-simplify]: Simplify J into J 67.072 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 67.072 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 67.073 * [backup-simplify]: Simplify (- 0) into 0 67.073 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 67.073 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 67.073 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 67.073 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 67.073 * [taylor]: Taking taylor expansion of 1 in U 67.073 * [backup-simplify]: Simplify 1 into 1 67.073 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 67.073 * [taylor]: Taking taylor expansion of 1/4 in U 67.073 * [backup-simplify]: Simplify 1/4 into 1/4 67.073 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 67.073 * [taylor]: Taking taylor expansion of (pow J 2) in U 67.073 * [taylor]: Taking taylor expansion of J in U 67.073 * [backup-simplify]: Simplify J into J 67.073 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 67.073 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 67.073 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 67.073 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 67.073 * [taylor]: Taking taylor expansion of -1/2 in U 67.073 * [backup-simplify]: Simplify -1/2 into -1/2 67.073 * [taylor]: Taking taylor expansion of K in U 67.073 * [backup-simplify]: Simplify K into K 67.073 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 67.073 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 67.073 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 67.073 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 67.073 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 67.074 * [backup-simplify]: Simplify (- 0) into 0 67.074 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 67.074 * [taylor]: Taking taylor expansion of (pow U 2) in U 67.074 * [taylor]: Taking taylor expansion of U in U 67.074 * [backup-simplify]: Simplify 0 into 0 67.074 * [backup-simplify]: Simplify 1 into 1 67.074 * [backup-simplify]: Simplify (* J J) into (pow J 2) 67.074 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 67.074 * [backup-simplify]: Simplify (* 1 1) into 1 67.074 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 67.074 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 67.074 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 67.075 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 67.075 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 67.075 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 67.075 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 67.075 * [backup-simplify]: Simplify (+ 0) into 0 67.076 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 67.076 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 67.076 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 67.077 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 67.077 * [backup-simplify]: Simplify (- 0) into 0 67.077 * [backup-simplify]: Simplify (+ 0 0) into 0 67.077 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 67.078 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 67.078 * [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 67.078 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 67.078 * [backup-simplify]: Simplify (+ 0 0) into 0 67.079 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 67.079 * [backup-simplify]: Simplify (* (/ (cos (/ -1/2 K)) J) (* 1/2 (/ J (cos (/ -1/2 K))))) into 1/2 67.079 * [backup-simplify]: Simplify (* 2 1/2) into 1 67.079 * [taylor]: Taking taylor expansion of 1 in K 67.079 * [backup-simplify]: Simplify 1 into 1 67.079 * [taylor]: Taking taylor expansion of 1 in J 67.079 * [backup-simplify]: Simplify 1 into 1 67.079 * [backup-simplify]: Simplify (+ 0) into 0 67.080 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 67.080 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 67.081 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 67.081 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 67.081 * [backup-simplify]: Simplify (- 0) into 0 67.082 * [backup-simplify]: Simplify (+ 0 0) into 0 67.082 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0 67.082 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 67.083 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0 67.083 * [taylor]: Taking taylor expansion of 0 in K 67.083 * [backup-simplify]: Simplify 0 into 0 67.083 * [taylor]: Taking taylor expansion of 0 in J 67.083 * [backup-simplify]: Simplify 0 into 0 67.083 * [taylor]: Taking taylor expansion of 0 in J 67.083 * [backup-simplify]: Simplify 0 into 0 67.083 * [backup-simplify]: Simplify 1 into 1 67.084 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 67.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 67.085 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 67.086 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 67.086 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 67.087 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 67.088 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 67.088 * [backup-simplify]: Simplify (- 0) into 0 67.088 * [backup-simplify]: Simplify (+ 0 0) into 0 67.089 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 67.090 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 67.090 * [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 67.091 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 67.092 * [backup-simplify]: Simplify (+ 1 0) into 1 67.093 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 67.093 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 67.094 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 67.094 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 67.095 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 67.096 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 67.096 * [backup-simplify]: Simplify (- 0) into 0 67.096 * [backup-simplify]: Simplify (+ 0 0) into 0 67.097 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 67.097 * [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)) 67.098 * [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))) 67.098 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in K 67.098 * [taylor]: Taking taylor expansion of 2 in K 67.098 * [backup-simplify]: Simplify 2 into 2 67.098 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in K 67.098 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 67.098 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 67.098 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 67.098 * [taylor]: Taking taylor expansion of -1/2 in K 67.099 * [backup-simplify]: Simplify -1/2 into -1/2 67.099 * [taylor]: Taking taylor expansion of K in K 67.099 * [backup-simplify]: Simplify 0 into 0 67.099 * [backup-simplify]: Simplify 1 into 1 67.099 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 67.099 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 67.099 * [taylor]: Taking taylor expansion of (pow J 2) in K 67.099 * [taylor]: Taking taylor expansion of J in K 67.099 * [backup-simplify]: Simplify J into J 67.099 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 67.099 * [backup-simplify]: Simplify (* J J) into (pow J 2) 67.100 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 67.100 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 67.100 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J 67.100 * [taylor]: Taking taylor expansion of 2 in J 67.100 * [backup-simplify]: Simplify 2 into 2 67.100 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J 67.100 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 67.100 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 67.100 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 67.100 * [taylor]: Taking taylor expansion of -1/2 in J 67.100 * [backup-simplify]: Simplify -1/2 into -1/2 67.100 * [taylor]: Taking taylor expansion of K in J 67.100 * [backup-simplify]: Simplify K into K 67.100 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 67.100 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 67.100 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 67.100 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 67.100 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 67.101 * [backup-simplify]: Simplify (- 0) into 0 67.101 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 67.101 * [taylor]: Taking taylor expansion of (pow J 2) in J 67.101 * [taylor]: Taking taylor expansion of J in J 67.101 * [backup-simplify]: Simplify 0 into 0 67.101 * [backup-simplify]: Simplify 1 into 1 67.101 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 67.102 * [backup-simplify]: Simplify (* 1 1) into 1 67.102 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 67.102 * [backup-simplify]: Simplify (+ 0) into 0 67.103 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 67.103 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 67.103 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 67.104 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 67.104 * [backup-simplify]: Simplify (- 0) into 0 67.105 * [backup-simplify]: Simplify (+ 0 0) into 0 67.105 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 67.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 67.106 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 67.107 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 67.107 * [backup-simplify]: Simplify 0 into 0 67.107 * [taylor]: Taking taylor expansion of 0 in J 67.107 * [backup-simplify]: Simplify 0 into 0 67.107 * [taylor]: Taking taylor expansion of 0 in J 67.107 * [backup-simplify]: Simplify 0 into 0 67.107 * [backup-simplify]: Simplify 0 into 0 67.107 * [backup-simplify]: Simplify 0 into 0 67.107 * [backup-simplify]: Simplify 0 into 0 67.108 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 67.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 67.110 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 67.111 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 67.111 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 67.113 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 67.114 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 67.114 * [backup-simplify]: Simplify (- 0) into 0 67.114 * [backup-simplify]: Simplify (+ 0 0) into 0 67.115 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 67.116 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 67.117 * [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 67.118 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 67.118 * [backup-simplify]: Simplify (+ 0 0) into 0 67.119 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 67.120 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 67.120 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 67.121 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 67.122 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 67.123 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 67.123 * [backup-simplify]: Simplify (- 0) into 0 67.124 * [backup-simplify]: Simplify (+ 0 0) into 0 67.124 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 67.125 * [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 67.126 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 67.126 * [taylor]: Taking taylor expansion of 0 in K 67.126 * [backup-simplify]: Simplify 0 into 0 67.126 * [taylor]: Taking taylor expansion of 0 in J 67.126 * [backup-simplify]: Simplify 0 into 0 67.126 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 67.126 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 67.127 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 67.127 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) into 0 67.127 * [taylor]: Taking taylor expansion of 0 in J 67.127 * [backup-simplify]: Simplify 0 into 0 67.127 * [taylor]: Taking taylor expansion of 0 in J 67.127 * [backup-simplify]: Simplify 0 into 0 67.127 * [taylor]: Taking taylor expansion of 0 in J 67.127 * [backup-simplify]: Simplify 0 into 0 67.129 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 67.129 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 67.130 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 67.131 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 67.131 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 67.131 * [backup-simplify]: Simplify (- 0) into 0 67.132 * [backup-simplify]: Simplify (+ 0 0) into 0 67.132 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 67.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 67.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 67.136 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0 67.136 * [backup-simplify]: Simplify 0 into 0 67.136 * [backup-simplify]: Simplify 0 into 0 67.136 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U) 67.136 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 67.136 * [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)) 67.136 * [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 67.137 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 67.137 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 67.137 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 67.137 * [taylor]: Taking taylor expansion of 1/4 in J 67.137 * [backup-simplify]: Simplify 1/4 into 1/4 67.137 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 67.137 * [taylor]: Taking taylor expansion of (pow U 2) in J 67.137 * [taylor]: Taking taylor expansion of U in J 67.137 * [backup-simplify]: Simplify U into U 67.137 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 67.137 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 67.137 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 67.137 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 67.137 * [taylor]: Taking taylor expansion of 1/2 in J 67.137 * [backup-simplify]: Simplify 1/2 into 1/2 67.137 * [taylor]: Taking taylor expansion of K in J 67.137 * [backup-simplify]: Simplify K into K 67.137 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 67.137 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 67.137 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 67.137 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 67.137 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 67.140 * [backup-simplify]: Simplify (- 0) into 0 67.141 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 67.141 * [taylor]: Taking taylor expansion of (pow J 2) in J 67.141 * [taylor]: Taking taylor expansion of J in J 67.141 * [backup-simplify]: Simplify 0 into 0 67.141 * [backup-simplify]: Simplify 1 into 1 67.141 * [backup-simplify]: Simplify (* U U) into (pow U 2) 67.141 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 67.142 * [backup-simplify]: Simplify (* 1 1) into 1 67.142 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 67.142 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 67.142 * [taylor]: Taking taylor expansion of 1 in J 67.142 * [backup-simplify]: Simplify 1 into 1 67.142 * [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))) 67.143 * [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))) 67.143 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 67.143 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 67.144 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 67.144 * [backup-simplify]: Simplify (+ 0) into 0 67.145 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 67.145 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 67.146 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 67.146 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 67.147 * [backup-simplify]: Simplify (- 0) into 0 67.147 * [backup-simplify]: Simplify (+ 0 0) into 0 67.147 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 67.148 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 67.148 * [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 67.149 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 67.149 * [backup-simplify]: Simplify (+ 0 0) into 0 67.149 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 67.149 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 67.149 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 67.149 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 67.149 * [taylor]: Taking taylor expansion of 1/4 in K 67.149 * [backup-simplify]: Simplify 1/4 into 1/4 67.149 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 67.149 * [taylor]: Taking taylor expansion of (pow U 2) in K 67.150 * [taylor]: Taking taylor expansion of U in K 67.150 * [backup-simplify]: Simplify U into U 67.150 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 67.150 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 67.150 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 67.150 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 67.150 * [taylor]: Taking taylor expansion of 1/2 in K 67.150 * [backup-simplify]: Simplify 1/2 into 1/2 67.150 * [taylor]: Taking taylor expansion of K in K 67.150 * [backup-simplify]: Simplify 0 into 0 67.150 * [backup-simplify]: Simplify 1 into 1 67.150 * [backup-simplify]: Simplify (* 1/2 0) into 0 67.151 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 67.151 * [taylor]: Taking taylor expansion of (pow J 2) in K 67.151 * [taylor]: Taking taylor expansion of J in K 67.151 * [backup-simplify]: Simplify J into J 67.151 * [backup-simplify]: Simplify (* U U) into (pow U 2) 67.151 * [backup-simplify]: Simplify (* 1 1) into 1 67.151 * [backup-simplify]: Simplify (* J J) into (pow J 2) 67.152 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 67.152 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 67.152 * [taylor]: Taking taylor expansion of 1 in K 67.152 * [backup-simplify]: Simplify 1 into 1 67.152 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 67.152 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 67.152 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 67.152 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 67.153 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 67.153 * [backup-simplify]: Simplify (+ 0) into 0 67.154 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 67.154 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 67.154 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 67.155 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 67.155 * [backup-simplify]: Simplify (+ 0 0) into 0 67.156 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 67.156 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 67.156 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 67.156 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 67.156 * [taylor]: Taking taylor expansion of 1/4 in U 67.156 * [backup-simplify]: Simplify 1/4 into 1/4 67.156 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 67.156 * [taylor]: Taking taylor expansion of (pow U 2) in U 67.156 * [taylor]: Taking taylor expansion of U in U 67.156 * [backup-simplify]: Simplify 0 into 0 67.156 * [backup-simplify]: Simplify 1 into 1 67.156 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 67.156 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 67.156 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 67.156 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 67.156 * [taylor]: Taking taylor expansion of 1/2 in U 67.156 * [backup-simplify]: Simplify 1/2 into 1/2 67.156 * [taylor]: Taking taylor expansion of K in U 67.156 * [backup-simplify]: Simplify K into K 67.156 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 67.156 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 67.156 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 67.156 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 67.157 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 67.157 * [backup-simplify]: Simplify (- 0) into 0 67.157 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 67.157 * [taylor]: Taking taylor expansion of (pow J 2) in U 67.157 * [taylor]: Taking taylor expansion of J in U 67.157 * [backup-simplify]: Simplify J into J 67.157 * [backup-simplify]: Simplify (* 1 1) into 1 67.158 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 67.158 * [backup-simplify]: Simplify (* J J) into (pow J 2) 67.158 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 67.158 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 67.158 * [taylor]: Taking taylor expansion of 1 in U 67.158 * [backup-simplify]: Simplify 1 into 1 67.159 * [backup-simplify]: Simplify (+ 0 1) into 1 67.159 * [backup-simplify]: Simplify (sqrt 1) into 1 67.159 * [backup-simplify]: Simplify (+ 0 0) into 0 67.160 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 67.160 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 67.160 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 67.160 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 67.160 * [taylor]: Taking taylor expansion of 1/4 in U 67.160 * [backup-simplify]: Simplify 1/4 into 1/4 67.160 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 67.160 * [taylor]: Taking taylor expansion of (pow U 2) in U 67.160 * [taylor]: Taking taylor expansion of U in U 67.160 * [backup-simplify]: Simplify 0 into 0 67.160 * [backup-simplify]: Simplify 1 into 1 67.160 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 67.161 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 67.161 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 67.161 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 67.161 * [taylor]: Taking taylor expansion of 1/2 in U 67.161 * [backup-simplify]: Simplify 1/2 into 1/2 67.161 * [taylor]: Taking taylor expansion of K in U 67.161 * [backup-simplify]: Simplify K into K 67.161 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 67.161 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 67.161 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 67.161 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 67.161 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 67.161 * [backup-simplify]: Simplify (- 0) into 0 67.161 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 67.162 * [taylor]: Taking taylor expansion of (pow J 2) in U 67.162 * [taylor]: Taking taylor expansion of J in U 67.162 * [backup-simplify]: Simplify J into J 67.162 * [backup-simplify]: Simplify (* 1 1) into 1 67.162 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 67.162 * [backup-simplify]: Simplify (* J J) into (pow J 2) 67.162 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 67.162 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 67.163 * [taylor]: Taking taylor expansion of 1 in U 67.163 * [backup-simplify]: Simplify 1 into 1 67.163 * [backup-simplify]: Simplify (+ 0 1) into 1 67.163 * [backup-simplify]: Simplify (sqrt 1) into 1 67.164 * [backup-simplify]: Simplify (+ 0 0) into 0 67.164 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 67.165 * [taylor]: Taking taylor expansion of 1 in K 67.165 * [backup-simplify]: Simplify 1 into 1 67.165 * [taylor]: Taking taylor expansion of 1 in J 67.165 * [backup-simplify]: Simplify 1 into 1 67.165 * [taylor]: Taking taylor expansion of 0 in K 67.165 * [backup-simplify]: Simplify 0 into 0 67.165 * [taylor]: Taking taylor expansion of 0 in J 67.165 * [backup-simplify]: Simplify 0 into 0 67.165 * [taylor]: Taking taylor expansion of 0 in J 67.165 * [backup-simplify]: Simplify 0 into 0 67.165 * [backup-simplify]: Simplify 1 into 1 67.165 * [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))) 67.165 * [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)))) 67.167 * [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))) 67.167 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 67.167 * [taylor]: Taking taylor expansion of 1/8 in K 67.167 * [backup-simplify]: Simplify 1/8 into 1/8 67.167 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 67.167 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 67.167 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 67.167 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 67.167 * [taylor]: Taking taylor expansion of 1/2 in K 67.167 * [backup-simplify]: Simplify 1/2 into 1/2 67.167 * [taylor]: Taking taylor expansion of K in K 67.167 * [backup-simplify]: Simplify 0 into 0 67.167 * [backup-simplify]: Simplify 1 into 1 67.167 * [backup-simplify]: Simplify (* 1/2 0) into 0 67.168 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 67.168 * [taylor]: Taking taylor expansion of (pow J 2) in K 67.168 * [taylor]: Taking taylor expansion of J in K 67.168 * [backup-simplify]: Simplify J into J 67.168 * [backup-simplify]: Simplify (* 1 1) into 1 67.168 * [backup-simplify]: Simplify (* J J) into (pow J 2) 67.168 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 67.168 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2)) 67.168 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J 67.168 * [taylor]: Taking taylor expansion of 1/8 in J 67.168 * [backup-simplify]: Simplify 1/8 into 1/8 67.168 * [taylor]: Taking taylor expansion of (pow J 2) in J 67.168 * [taylor]: Taking taylor expansion of J in J 67.168 * [backup-simplify]: Simplify 0 into 0 67.168 * [backup-simplify]: Simplify 1 into 1 67.169 * [backup-simplify]: Simplify (* 1 1) into 1 67.169 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 67.169 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 67.170 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 67.170 * [backup-simplify]: Simplify 0 into 0 67.170 * [taylor]: Taking taylor expansion of 0 in J 67.170 * [backup-simplify]: Simplify 0 into 0 67.170 * [taylor]: Taking taylor expansion of 0 in J 67.170 * [backup-simplify]: Simplify 0 into 0 67.170 * [backup-simplify]: Simplify 0 into 0 67.170 * [backup-simplify]: Simplify 0 into 0 67.170 * [backup-simplify]: Simplify 0 into 0 67.171 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 67.171 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 67.171 * [backup-simplify]: Simplify (+ 0) into 0 67.171 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 67.172 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 67.173 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 67.173 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 67.173 * [backup-simplify]: Simplify (- 0) into 0 67.173 * [backup-simplify]: Simplify (+ 0 0) into 0 67.173 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 67.174 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 67.174 * [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 67.174 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 67.175 * [backup-simplify]: Simplify (+ 0 0) into 0 67.175 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 67.175 * [taylor]: Taking taylor expansion of 0 in K 67.175 * [backup-simplify]: Simplify 0 into 0 67.175 * [taylor]: Taking taylor expansion of 0 in J 67.175 * [backup-simplify]: Simplify 0 into 0 67.175 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 67.175 * [backup-simplify]: Simplify (+ 0) into 0 67.176 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 67.176 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 67.176 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0 67.176 * [taylor]: Taking taylor expansion of 0 in J 67.176 * [backup-simplify]: Simplify 0 into 0 67.176 * [taylor]: Taking taylor expansion of 0 in J 67.176 * [backup-simplify]: Simplify 0 into 0 67.176 * [taylor]: Taking taylor expansion of 0 in J 67.176 * [backup-simplify]: Simplify 0 into 0 67.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 67.177 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 67.178 * [backup-simplify]: Simplify 0 into 0 67.178 * [backup-simplify]: Simplify 0 into 0 67.178 * [backup-simplify]: Simplify 1 into 1 67.178 * [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)) 67.178 * [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 67.178 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 67.178 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 67.178 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 67.178 * [taylor]: Taking taylor expansion of 1/4 in J 67.178 * [backup-simplify]: Simplify 1/4 into 1/4 67.178 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 67.178 * [taylor]: Taking taylor expansion of (pow J 2) in J 67.178 * [taylor]: Taking taylor expansion of J in J 67.178 * [backup-simplify]: Simplify 0 into 0 67.178 * [backup-simplify]: Simplify 1 into 1 67.178 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 67.178 * [taylor]: Taking taylor expansion of (pow U 2) in J 67.178 * [taylor]: Taking taylor expansion of U in J 67.178 * [backup-simplify]: Simplify U into U 67.178 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 67.178 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 67.178 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 67.178 * [taylor]: Taking taylor expansion of 1/2 in J 67.178 * [backup-simplify]: Simplify 1/2 into 1/2 67.178 * [taylor]: Taking taylor expansion of K in J 67.178 * [backup-simplify]: Simplify K into K 67.178 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 67.178 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 67.178 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 67.178 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 67.179 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 67.179 * [backup-simplify]: Simplify (- 0) into 0 67.179 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 67.179 * [backup-simplify]: Simplify (* 1 1) into 1 67.179 * [backup-simplify]: Simplify (* U U) into (pow U 2) 67.179 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 67.179 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 67.179 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 67.179 * [taylor]: Taking taylor expansion of 1 in J 67.179 * [backup-simplify]: Simplify 1 into 1 67.180 * [backup-simplify]: Simplify (+ 0 1) into 1 67.180 * [backup-simplify]: Simplify (sqrt 1) into 1 67.180 * [backup-simplify]: Simplify (+ 0 0) into 0 67.181 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 67.181 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 67.181 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 67.181 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 67.181 * [taylor]: Taking taylor expansion of 1/4 in K 67.181 * [backup-simplify]: Simplify 1/4 into 1/4 67.181 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 67.181 * [taylor]: Taking taylor expansion of (pow J 2) in K 67.181 * [taylor]: Taking taylor expansion of J in K 67.181 * [backup-simplify]: Simplify J into J 67.181 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 67.181 * [taylor]: Taking taylor expansion of (pow U 2) in K 67.181 * [taylor]: Taking taylor expansion of U in K 67.181 * [backup-simplify]: Simplify U into U 67.181 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 67.181 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 67.181 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 67.181 * [taylor]: Taking taylor expansion of 1/2 in K 67.181 * [backup-simplify]: Simplify 1/2 into 1/2 67.181 * [taylor]: Taking taylor expansion of K in K 67.181 * [backup-simplify]: Simplify 0 into 0 67.181 * [backup-simplify]: Simplify 1 into 1 67.181 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 67.181 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 67.181 * [backup-simplify]: Simplify (* J J) into (pow J 2) 67.181 * [backup-simplify]: Simplify (* U U) into (pow U 2) 67.182 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 67.182 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 67.182 * [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))) 67.182 * [taylor]: Taking taylor expansion of 1 in K 67.182 * [backup-simplify]: Simplify 1 into 1 67.182 * [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)))) 67.182 * [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) 67.182 * [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)) 67.182 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 67.182 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 67.183 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 67.183 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 67.183 * [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 67.183 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 67.184 * [backup-simplify]: Simplify (+ 0 0) into 0 67.184 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 67.184 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 67.184 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 67.184 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 67.184 * [taylor]: Taking taylor expansion of 1/4 in U 67.184 * [backup-simplify]: Simplify 1/4 into 1/4 67.184 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 67.184 * [taylor]: Taking taylor expansion of (pow J 2) in U 67.184 * [taylor]: Taking taylor expansion of J in U 67.184 * [backup-simplify]: Simplify J into J 67.184 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 67.184 * [taylor]: Taking taylor expansion of (pow U 2) in U 67.184 * [taylor]: Taking taylor expansion of U in U 67.184 * [backup-simplify]: Simplify 0 into 0 67.184 * [backup-simplify]: Simplify 1 into 1 67.184 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 67.184 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 67.184 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 67.184 * [taylor]: Taking taylor expansion of 1/2 in U 67.184 * [backup-simplify]: Simplify 1/2 into 1/2 67.184 * [taylor]: Taking taylor expansion of K in U 67.184 * [backup-simplify]: Simplify K into K 67.184 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 67.184 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 67.184 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 67.184 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 67.184 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 67.185 * [backup-simplify]: Simplify (- 0) into 0 67.185 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 67.185 * [backup-simplify]: Simplify (* J J) into (pow J 2) 67.185 * [backup-simplify]: Simplify (* 1 1) into 1 67.185 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 67.185 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 67.185 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 67.185 * [taylor]: Taking taylor expansion of 1 in U 67.185 * [backup-simplify]: Simplify 1 into 1 67.186 * [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))) 67.186 * [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))) 67.186 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 67.186 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 67.186 * [backup-simplify]: Simplify (+ 0) into 0 67.186 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 67.187 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 67.187 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 67.187 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 67.188 * [backup-simplify]: Simplify (- 0) into 0 67.188 * [backup-simplify]: Simplify (+ 0 0) into 0 67.188 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 67.188 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 67.189 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 67.189 * [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 67.189 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 67.189 * [backup-simplify]: Simplify (+ 0 0) into 0 67.190 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 67.190 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 67.190 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 67.190 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 67.190 * [taylor]: Taking taylor expansion of 1/4 in U 67.190 * [backup-simplify]: Simplify 1/4 into 1/4 67.190 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 67.190 * [taylor]: Taking taylor expansion of (pow J 2) in U 67.190 * [taylor]: Taking taylor expansion of J in U 67.190 * [backup-simplify]: Simplify J into J 67.190 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 67.190 * [taylor]: Taking taylor expansion of (pow U 2) in U 67.190 * [taylor]: Taking taylor expansion of U in U 67.190 * [backup-simplify]: Simplify 0 into 0 67.190 * [backup-simplify]: Simplify 1 into 1 67.190 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 67.190 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 67.190 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 67.190 * [taylor]: Taking taylor expansion of 1/2 in U 67.190 * [backup-simplify]: Simplify 1/2 into 1/2 67.190 * [taylor]: Taking taylor expansion of K in U 67.190 * [backup-simplify]: Simplify K into K 67.190 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 67.190 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 67.190 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 67.190 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 67.190 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 67.190 * [backup-simplify]: Simplify (- 0) into 0 67.190 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 67.191 * [backup-simplify]: Simplify (* J J) into (pow J 2) 67.191 * [backup-simplify]: Simplify (* 1 1) into 1 67.191 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 67.191 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 67.191 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 67.191 * [taylor]: Taking taylor expansion of 1 in U 67.191 * [backup-simplify]: Simplify 1 into 1 67.191 * [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))) 67.191 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 67.191 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 67.192 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 67.192 * [backup-simplify]: Simplify (+ 0) into 0 67.192 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 67.192 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 67.193 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 67.193 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 67.193 * [backup-simplify]: Simplify (- 0) into 0 67.193 * [backup-simplify]: Simplify (+ 0 0) into 0 67.194 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 67.194 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 67.194 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 67.194 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 67.195 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 67.195 * [backup-simplify]: Simplify (+ 0 0) into 0 67.195 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 67.195 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K 67.195 * [taylor]: Taking taylor expansion of 1/2 in K 67.195 * [backup-simplify]: Simplify 1/2 into 1/2 67.195 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K 67.195 * [taylor]: Taking taylor expansion of J in K 67.195 * [backup-simplify]: Simplify J into J 67.195 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 67.195 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 67.195 * [taylor]: Taking taylor expansion of 1/2 in K 67.195 * [backup-simplify]: Simplify 1/2 into 1/2 67.195 * [taylor]: Taking taylor expansion of K in K 67.195 * [backup-simplify]: Simplify 0 into 0 67.196 * [backup-simplify]: Simplify 1 into 1 67.196 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 67.196 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 67.196 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 67.196 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 67.196 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 67.196 * [taylor]: Taking taylor expansion of 1/2 in J 67.196 * [backup-simplify]: Simplify 1/2 into 1/2 67.196 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 67.196 * [taylor]: Taking taylor expansion of J in J 67.196 * [backup-simplify]: Simplify 0 into 0 67.196 * [backup-simplify]: Simplify 1 into 1 67.196 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 67.196 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 67.196 * [taylor]: Taking taylor expansion of 1/2 in J 67.196 * [backup-simplify]: Simplify 1/2 into 1/2 67.196 * [taylor]: Taking taylor expansion of K in J 67.196 * [backup-simplify]: Simplify K into K 67.196 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 67.196 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 67.196 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 67.196 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 67.196 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 67.197 * [backup-simplify]: Simplify (- 0) into 0 67.197 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 67.197 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 67.197 * [taylor]: Taking taylor expansion of 0 in K 67.197 * [backup-simplify]: Simplify 0 into 0 67.197 * [taylor]: Taking taylor expansion of 0 in J 67.197 * [backup-simplify]: Simplify 0 into 0 67.197 * [backup-simplify]: Simplify 0 into 0 67.197 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 67.197 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 67.197 * [taylor]: Taking taylor expansion of 0 in J 67.197 * [backup-simplify]: Simplify 0 into 0 67.197 * [backup-simplify]: Simplify 0 into 0 67.197 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 67.198 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 67.198 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 67.198 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 67.199 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 67.199 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 67.199 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 67.200 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 67.200 * [backup-simplify]: Simplify (- 0) into 0 67.201 * [backup-simplify]: Simplify (+ 0 0) into 0 67.201 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 67.202 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 67.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 67.204 * [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))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 67.205 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 67.205 * [backup-simplify]: Simplify (+ 0 1) into 1 67.206 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 67.206 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 67.206 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 67.206 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 67.206 * [taylor]: Taking taylor expansion of 1/2 in K 67.206 * [backup-simplify]: Simplify 1/2 into 1/2 67.206 * [taylor]: Taking taylor expansion of K in K 67.206 * [backup-simplify]: Simplify 0 into 0 67.206 * [backup-simplify]: Simplify 1 into 1 67.207 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 67.207 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 67.207 * [taylor]: Taking taylor expansion of J in K 67.207 * [backup-simplify]: Simplify J into J 67.207 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 67.207 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 67.207 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 67.207 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 67.207 * [taylor]: Taking taylor expansion of 1/2 in J 67.207 * [backup-simplify]: Simplify 1/2 into 1/2 67.207 * [taylor]: Taking taylor expansion of K in J 67.207 * [backup-simplify]: Simplify K into K 67.207 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 67.207 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 67.207 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 67.207 * [taylor]: Taking taylor expansion of J in J 67.207 * [backup-simplify]: Simplify 0 into 0 67.207 * [backup-simplify]: Simplify 1 into 1 67.207 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 67.207 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 67.208 * [backup-simplify]: Simplify (- 0) into 0 67.208 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 67.208 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 67.208 * [backup-simplify]: Simplify (+ 0) into 0 67.209 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 67.209 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 67.210 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 67.210 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 67.211 * [backup-simplify]: Simplify (- 0) into 0 67.211 * [backup-simplify]: Simplify (+ 0 0) into 0 67.212 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 67.212 * [backup-simplify]: Simplify 0 into 0 67.212 * [taylor]: Taking taylor expansion of 0 in J 67.212 * [backup-simplify]: Simplify 0 into 0 67.212 * [backup-simplify]: Simplify 0 into 0 67.212 * [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 67.213 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 67.213 * [taylor]: Taking taylor expansion of 0 in J 67.213 * [backup-simplify]: Simplify 0 into 0 67.213 * [backup-simplify]: Simplify 0 into 0 67.213 * [backup-simplify]: Simplify 0 into 0 67.214 * [backup-simplify]: Simplify 0 into 0 67.214 * [backup-simplify]: Simplify (+ 0) into 0 67.214 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 67.215 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 67.215 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 67.216 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 67.216 * [backup-simplify]: Simplify (- 0) into 0 67.217 * [backup-simplify]: Simplify (+ 0 0) into 0 67.217 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 67.217 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 67.217 * [backup-simplify]: Simplify 0 into 0 67.218 * [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))) 67.218 * [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)))))) 67.218 * [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 67.218 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 67.219 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 67.219 * [taylor]: Taking taylor expansion of 1 in J 67.219 * [backup-simplify]: Simplify 1 into 1 67.219 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 67.219 * [taylor]: Taking taylor expansion of 1/4 in J 67.219 * [backup-simplify]: Simplify 1/4 into 1/4 67.219 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 67.219 * [taylor]: Taking taylor expansion of (pow J 2) in J 67.219 * [taylor]: Taking taylor expansion of J in J 67.219 * [backup-simplify]: Simplify 0 into 0 67.219 * [backup-simplify]: Simplify 1 into 1 67.219 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 67.219 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 67.219 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 67.219 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 67.219 * [taylor]: Taking taylor expansion of -1/2 in J 67.219 * [backup-simplify]: Simplify -1/2 into -1/2 67.219 * [taylor]: Taking taylor expansion of K in J 67.219 * [backup-simplify]: Simplify K into K 67.219 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 67.219 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 67.219 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 67.219 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 67.219 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 67.220 * [backup-simplify]: Simplify (- 0) into 0 67.220 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 67.220 * [taylor]: Taking taylor expansion of (pow U 2) in J 67.220 * [taylor]: Taking taylor expansion of U in J 67.220 * [backup-simplify]: Simplify U into U 67.220 * [backup-simplify]: Simplify (* 1 1) into 1 67.221 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 67.221 * [backup-simplify]: Simplify (* U U) into (pow U 2) 67.221 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 67.221 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 67.222 * [backup-simplify]: Simplify (+ 1 0) into 1 67.222 * [backup-simplify]: Simplify (sqrt 1) into 1 67.222 * [backup-simplify]: Simplify (+ 0 0) into 0 67.223 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 67.223 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 67.223 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 67.223 * [taylor]: Taking taylor expansion of 1 in K 67.223 * [backup-simplify]: Simplify 1 into 1 67.223 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 67.223 * [taylor]: Taking taylor expansion of 1/4 in K 67.223 * [backup-simplify]: Simplify 1/4 into 1/4 67.223 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 67.223 * [taylor]: Taking taylor expansion of (pow J 2) in K 67.224 * [taylor]: Taking taylor expansion of J in K 67.224 * [backup-simplify]: Simplify J into J 67.224 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 67.224 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 67.224 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 67.224 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 67.224 * [taylor]: Taking taylor expansion of -1/2 in K 67.224 * [backup-simplify]: Simplify -1/2 into -1/2 67.224 * [taylor]: Taking taylor expansion of K in K 67.224 * [backup-simplify]: Simplify 0 into 0 67.224 * [backup-simplify]: Simplify 1 into 1 67.224 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 67.224 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 67.224 * [taylor]: Taking taylor expansion of (pow U 2) in K 67.224 * [taylor]: Taking taylor expansion of U in K 67.224 * [backup-simplify]: Simplify U into U 67.224 * [backup-simplify]: Simplify (* J J) into (pow J 2) 67.225 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 67.225 * [backup-simplify]: Simplify (* U U) into (pow U 2) 67.225 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 67.225 * [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))) 67.225 * [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)))) 67.226 * [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))))) 67.226 * [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)))))) 67.226 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 67.226 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 67.227 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 67.227 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 67.227 * [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 67.228 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 67.229 * [backup-simplify]: Simplify (+ 0 0) into 0 67.229 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 67.229 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 67.229 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 67.229 * [taylor]: Taking taylor expansion of 1 in U 67.229 * [backup-simplify]: Simplify 1 into 1 67.229 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 67.229 * [taylor]: Taking taylor expansion of 1/4 in U 67.229 * [backup-simplify]: Simplify 1/4 into 1/4 67.229 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 67.230 * [taylor]: Taking taylor expansion of (pow J 2) in U 67.230 * [taylor]: Taking taylor expansion of J in U 67.230 * [backup-simplify]: Simplify J into J 67.230 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 67.230 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 67.230 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 67.230 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 67.230 * [taylor]: Taking taylor expansion of -1/2 in U 67.230 * [backup-simplify]: Simplify -1/2 into -1/2 67.230 * [taylor]: Taking taylor expansion of K in U 67.230 * [backup-simplify]: Simplify K into K 67.230 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 67.230 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 67.230 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 67.230 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 67.230 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 67.231 * [backup-simplify]: Simplify (- 0) into 0 67.231 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 67.231 * [taylor]: Taking taylor expansion of (pow U 2) in U 67.231 * [taylor]: Taking taylor expansion of U in U 67.231 * [backup-simplify]: Simplify 0 into 0 67.231 * [backup-simplify]: Simplify 1 into 1 67.231 * [backup-simplify]: Simplify (* J J) into (pow J 2) 67.231 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 67.232 * [backup-simplify]: Simplify (* 1 1) into 1 67.232 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 67.232 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 67.232 * [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))) 67.233 * [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))) 67.233 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 67.233 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 67.234 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 67.234 * [backup-simplify]: Simplify (+ 0) into 0 67.235 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 67.235 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 67.236 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 67.236 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 67.237 * [backup-simplify]: Simplify (- 0) into 0 67.237 * [backup-simplify]: Simplify (+ 0 0) into 0 67.237 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 67.238 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 67.238 * [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 67.239 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 67.239 * [backup-simplify]: Simplify (+ 0 0) into 0 67.240 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 67.240 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 67.240 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 67.240 * [taylor]: Taking taylor expansion of 1 in U 67.240 * [backup-simplify]: Simplify 1 into 1 67.240 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 67.240 * [taylor]: Taking taylor expansion of 1/4 in U 67.240 * [backup-simplify]: Simplify 1/4 into 1/4 67.240 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 67.240 * [taylor]: Taking taylor expansion of (pow J 2) in U 67.240 * [taylor]: Taking taylor expansion of J in U 67.240 * [backup-simplify]: Simplify J into J 67.240 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 67.240 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 67.240 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 67.240 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 67.240 * [taylor]: Taking taylor expansion of -1/2 in U 67.240 * [backup-simplify]: Simplify -1/2 into -1/2 67.240 * [taylor]: Taking taylor expansion of K in U 67.240 * [backup-simplify]: Simplify K into K 67.240 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 67.240 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 67.240 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 67.241 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 67.241 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 67.241 * [backup-simplify]: Simplify (- 0) into 0 67.241 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 67.241 * [taylor]: Taking taylor expansion of (pow U 2) in U 67.241 * [taylor]: Taking taylor expansion of U in U 67.241 * [backup-simplify]: Simplify 0 into 0 67.241 * [backup-simplify]: Simplify 1 into 1 67.241 * [backup-simplify]: Simplify (* J J) into (pow J 2) 67.241 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 67.242 * [backup-simplify]: Simplify (* 1 1) into 1 67.242 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 67.242 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 67.242 * [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))) 67.243 * [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))) 67.243 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 67.243 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 67.244 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 67.244 * [backup-simplify]: Simplify (+ 0) into 0 67.245 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 67.245 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 67.246 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 67.246 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 67.246 * [backup-simplify]: Simplify (- 0) into 0 67.247 * [backup-simplify]: Simplify (+ 0 0) into 0 67.247 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 67.247 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 67.248 * [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 67.248 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 67.249 * [backup-simplify]: Simplify (+ 0 0) into 0 67.249 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 67.249 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K 67.249 * [taylor]: Taking taylor expansion of 1/2 in K 67.249 * [backup-simplify]: Simplify 1/2 into 1/2 67.249 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K 67.249 * [taylor]: Taking taylor expansion of J in K 67.249 * [backup-simplify]: Simplify J into J 67.249 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 67.249 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 67.249 * [taylor]: Taking taylor expansion of -1/2 in K 67.250 * [backup-simplify]: Simplify -1/2 into -1/2 67.250 * [taylor]: Taking taylor expansion of K in K 67.250 * [backup-simplify]: Simplify 0 into 0 67.250 * [backup-simplify]: Simplify 1 into 1 67.250 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 67.250 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 67.250 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 67.250 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 67.250 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 67.250 * [taylor]: Taking taylor expansion of 1/2 in J 67.250 * [backup-simplify]: Simplify 1/2 into 1/2 67.250 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 67.250 * [taylor]: Taking taylor expansion of J in J 67.250 * [backup-simplify]: Simplify 0 into 0 67.251 * [backup-simplify]: Simplify 1 into 1 67.251 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 67.251 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 67.251 * [taylor]: Taking taylor expansion of -1/2 in J 67.251 * [backup-simplify]: Simplify -1/2 into -1/2 67.251 * [taylor]: Taking taylor expansion of K in J 67.251 * [backup-simplify]: Simplify K into K 67.251 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 67.251 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 67.251 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 67.251 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 67.251 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 67.251 * [backup-simplify]: Simplify (- 0) into 0 67.251 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 67.252 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 67.252 * [taylor]: Taking taylor expansion of 0 in K 67.252 * [backup-simplify]: Simplify 0 into 0 67.252 * [taylor]: Taking taylor expansion of 0 in J 67.252 * [backup-simplify]: Simplify 0 into 0 67.252 * [backup-simplify]: Simplify 0 into 0 67.252 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 67.253 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 67.253 * [taylor]: Taking taylor expansion of 0 in J 67.253 * [backup-simplify]: Simplify 0 into 0 67.253 * [backup-simplify]: Simplify 0 into 0 67.253 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 67.253 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 67.253 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 67.254 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 67.255 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 67.256 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 67.256 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 67.257 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 67.257 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 67.258 * [backup-simplify]: Simplify (- 0) into 0 67.258 * [backup-simplify]: Simplify (+ 0 0) into 0 67.259 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 67.260 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 67.260 * [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 67.261 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 67.262 * [backup-simplify]: Simplify (+ 1 0) into 1 67.262 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 67.262 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 67.263 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 67.263 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 67.263 * [taylor]: Taking taylor expansion of -1/2 in K 67.263 * [backup-simplify]: Simplify -1/2 into -1/2 67.263 * [taylor]: Taking taylor expansion of K in K 67.263 * [backup-simplify]: Simplify 0 into 0 67.263 * [backup-simplify]: Simplify 1 into 1 67.263 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 67.263 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 67.263 * [taylor]: Taking taylor expansion of J in K 67.263 * [backup-simplify]: Simplify J into J 67.263 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 67.263 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 67.263 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 67.264 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 67.264 * [taylor]: Taking taylor expansion of -1/2 in J 67.264 * [backup-simplify]: Simplify -1/2 into -1/2 67.264 * [taylor]: Taking taylor expansion of K in J 67.264 * [backup-simplify]: Simplify K into K 67.264 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 67.264 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 67.264 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 67.264 * [taylor]: Taking taylor expansion of J in J 67.264 * [backup-simplify]: Simplify 0 into 0 67.264 * [backup-simplify]: Simplify 1 into 1 67.264 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 67.264 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 67.265 * [backup-simplify]: Simplify (- 0) into 0 67.265 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 67.265 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 67.265 * [backup-simplify]: Simplify (+ 0) into 0 67.266 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 67.266 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 67.267 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 67.267 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 67.268 * [backup-simplify]: Simplify (- 0) into 0 67.268 * [backup-simplify]: Simplify (+ 0 0) into 0 67.269 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 67.269 * [backup-simplify]: Simplify 0 into 0 67.269 * [taylor]: Taking taylor expansion of 0 in J 67.269 * [backup-simplify]: Simplify 0 into 0 67.269 * [backup-simplify]: Simplify 0 into 0 67.269 * [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 67.270 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 67.270 * [taylor]: Taking taylor expansion of 0 in J 67.270 * [backup-simplify]: Simplify 0 into 0 67.270 * [backup-simplify]: Simplify 0 into 0 67.270 * [backup-simplify]: Simplify 0 into 0 67.270 * [backup-simplify]: Simplify 0 into 0 67.271 * [backup-simplify]: Simplify (+ 0) into 0 67.271 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 67.271 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 67.272 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 67.273 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 67.273 * [backup-simplify]: Simplify (- 0) into 0 67.274 * [backup-simplify]: Simplify (+ 0 0) into 0 67.274 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 67.277 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 67.277 * [backup-simplify]: Simplify 0 into 0 67.277 * [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))) 67.277 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 67.277 * [backup-simplify]: Simplify (cbrt (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) into (pow (cos (* 1/2 K)) 1/3) 67.277 * [approximate]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in (K) around 0 67.277 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in K 67.277 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (* 1/2 K))))) in K 67.277 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (* 1/2 K)))) in K 67.277 * [taylor]: Taking taylor expansion of 1/3 in K 67.277 * [backup-simplify]: Simplify 1/3 into 1/3 67.277 * [taylor]: Taking taylor expansion of (log (cos (* 1/2 K))) in K 67.278 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 67.278 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 67.278 * [taylor]: Taking taylor expansion of 1/2 in K 67.278 * [backup-simplify]: Simplify 1/2 into 1/2 67.278 * [taylor]: Taking taylor expansion of K in K 67.278 * [backup-simplify]: Simplify 0 into 0 67.278 * [backup-simplify]: Simplify 1 into 1 67.278 * [backup-simplify]: Simplify (* 1/2 0) into 0 67.279 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 67.279 * [backup-simplify]: Simplify (log 1) into 0 67.280 * [backup-simplify]: Simplify (* 1/3 0) into 0 67.280 * [backup-simplify]: Simplify (+ 0) into 0 67.282 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 67.282 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 67.284 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 67.287 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/8 67.288 * [backup-simplify]: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24 67.288 * [backup-simplify]: Simplify (exp 0) into 1 67.288 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in K 67.288 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (* 1/2 K))))) in K 67.288 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (* 1/2 K)))) in K 67.288 * [taylor]: Taking taylor expansion of 1/3 in K 67.288 * [backup-simplify]: Simplify 1/3 into 1/3 67.288 * [taylor]: Taking taylor expansion of (log (cos (* 1/2 K))) in K 67.288 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 67.288 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 67.288 * [taylor]: Taking taylor expansion of 1/2 in K 67.288 * [backup-simplify]: Simplify 1/2 into 1/2 67.288 * [taylor]: Taking taylor expansion of K in K 67.288 * [backup-simplify]: Simplify 0 into 0 67.288 * [backup-simplify]: Simplify 1 into 1 67.289 * [backup-simplify]: Simplify (* 1/2 0) into 0 67.289 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 67.290 * [backup-simplify]: Simplify (log 1) into 0 67.290 * [backup-simplify]: Simplify (* 1/3 0) into 0 67.290 * [backup-simplify]: Simplify (+ 0) into 0 67.292 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 67.292 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 67.293 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 67.297 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/8 67.298 * [backup-simplify]: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24 67.298 * [backup-simplify]: Simplify (exp 0) into 1 67.298 * [backup-simplify]: Simplify 1 into 1 67.299 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 67.299 * [backup-simplify]: Simplify 0 into 0 67.301 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1/24 1) 1)))) into -1/24 67.301 * [backup-simplify]: Simplify -1/24 into -1/24 67.302 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 67.303 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 67.309 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 67.310 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 0)))) into 0 67.313 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -1/24 1) 1)) (* (/ (pow 0 1) 1)))) into 0 67.313 * [backup-simplify]: Simplify 0 into 0 67.314 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 67.317 * [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 67.330 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -1/8) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 -1/8) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/384) 1)) (pow 1 1)))) 24) into -1/192 67.331 * [backup-simplify]: Simplify (+ (* 1/3 -1/192) (+ (* 0 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 0))))) into -1/576 67.337 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -1/24 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -1/24 2) 2)) (* (/ (pow -1/576 1) 1)))) into -1/1152 67.337 * [backup-simplify]: Simplify -1/1152 into -1/1152 67.337 * [backup-simplify]: Simplify (+ (* -1/1152 (pow K 4)) (+ (* -1/24 (pow K 2)) 1)) into (- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2)))) 67.338 * [backup-simplify]: Simplify (cbrt (* (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2)))) (cbrt (cos (/ (/ 1 K) 2))))) into (pow (cos (/ 1/2 K)) 1/3) 67.338 * [approximate]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in (K) around 0 67.338 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in K 67.338 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1/2 K))))) in K 67.338 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1/2 K)))) in K 67.338 * [taylor]: Taking taylor expansion of 1/3 in K 67.338 * [backup-simplify]: Simplify 1/3 into 1/3 67.338 * [taylor]: Taking taylor expansion of (log (cos (/ 1/2 K))) in K 67.338 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 67.338 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 67.338 * [taylor]: Taking taylor expansion of 1/2 in K 67.338 * [backup-simplify]: Simplify 1/2 into 1/2 67.338 * [taylor]: Taking taylor expansion of K in K 67.338 * [backup-simplify]: Simplify 0 into 0 67.338 * [backup-simplify]: Simplify 1 into 1 67.339 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 67.339 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 67.339 * [backup-simplify]: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) 67.339 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K)))) 67.339 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3) 67.339 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in K 67.339 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1/2 K))))) in K 67.339 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1/2 K)))) in K 67.339 * [taylor]: Taking taylor expansion of 1/3 in K 67.339 * [backup-simplify]: Simplify 1/3 into 1/3 67.339 * [taylor]: Taking taylor expansion of (log (cos (/ 1/2 K))) in K 67.339 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 67.339 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 67.339 * [taylor]: Taking taylor expansion of 1/2 in K 67.339 * [backup-simplify]: Simplify 1/2 into 1/2 67.339 * [taylor]: Taking taylor expansion of K in K 67.339 * [backup-simplify]: Simplify 0 into 0 67.339 * [backup-simplify]: Simplify 1 into 1 67.340 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 67.340 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 67.340 * [backup-simplify]: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) 67.340 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K)))) 67.340 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3) 67.341 * [backup-simplify]: Simplify (pow (cos (/ 1/2 K)) 1/3) into (pow (cos (/ 1/2 K)) 1/3) 67.341 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 1) into 0 67.342 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ 1/2 K))))) into 0 67.343 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 67.343 * [backup-simplify]: Simplify 0 into 0 67.345 * [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 67.346 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))) into 0 67.347 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 67.347 * [backup-simplify]: Simplify 0 into 0 67.351 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 6) into 0 67.352 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))) into 0 67.354 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 67.354 * [backup-simplify]: Simplify 0 into 0 67.359 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ 1/2 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 24) into 0 67.361 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))))) into 0 67.364 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 67.364 * [backup-simplify]: Simplify 0 into 0 67.371 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ 1/2 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 120) into 0 67.373 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))))) into 0 67.377 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 67.377 * [backup-simplify]: Simplify 0 into 0 67.385 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ 1/2 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 720) into 0 67.387 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))))))) into 0 67.390 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 67.390 * [backup-simplify]: Simplify 0 into 0 67.390 * [backup-simplify]: Simplify (pow (cos (/ 1/2 (/ 1 K))) 1/3) into (pow (cos (* 1/2 K)) 1/3) 67.390 * [backup-simplify]: Simplify (cbrt (* (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2)))) (cbrt (cos (/ (/ 1 (- K)) 2))))) into (pow (cos (/ -1/2 K)) 1/3) 67.390 * [approximate]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in (K) around 0 67.390 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in K 67.390 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1/2 K))))) in K 67.390 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1/2 K)))) in K 67.390 * [taylor]: Taking taylor expansion of 1/3 in K 67.390 * [backup-simplify]: Simplify 1/3 into 1/3 67.390 * [taylor]: Taking taylor expansion of (log (cos (/ -1/2 K))) in K 67.390 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 67.390 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 67.390 * [taylor]: Taking taylor expansion of -1/2 in K 67.390 * [backup-simplify]: Simplify -1/2 into -1/2 67.390 * [taylor]: Taking taylor expansion of K in K 67.390 * [backup-simplify]: Simplify 0 into 0 67.390 * [backup-simplify]: Simplify 1 into 1 67.391 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 67.391 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 67.391 * [backup-simplify]: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) 67.391 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K)))) 67.391 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3) 67.391 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in K 67.391 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1/2 K))))) in K 67.391 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1/2 K)))) in K 67.391 * [taylor]: Taking taylor expansion of 1/3 in K 67.391 * [backup-simplify]: Simplify 1/3 into 1/3 67.391 * [taylor]: Taking taylor expansion of (log (cos (/ -1/2 K))) in K 67.391 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 67.391 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 67.391 * [taylor]: Taking taylor expansion of -1/2 in K 67.391 * [backup-simplify]: Simplify -1/2 into -1/2 67.391 * [taylor]: Taking taylor expansion of K in K 67.391 * [backup-simplify]: Simplify 0 into 0 67.391 * [backup-simplify]: Simplify 1 into 1 67.391 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 67.392 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 67.392 * [backup-simplify]: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) 67.392 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K)))) 67.392 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3) 67.392 * [backup-simplify]: Simplify (pow (cos (/ -1/2 K)) 1/3) into (pow (cos (/ -1/2 K)) 1/3) 67.392 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 1) into 0 67.393 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ -1/2 K))))) into 0 67.393 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 67.393 * [backup-simplify]: Simplify 0 into 0 67.394 * [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 67.395 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))) into 0 67.396 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 67.396 * [backup-simplify]: Simplify 0 into 0 67.397 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 6) into 0 67.398 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))) into 0 67.399 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 67.399 * [backup-simplify]: Simplify 0 into 0 67.402 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ -1/2 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 24) into 0 67.403 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))))) into 0 67.404 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 67.404 * [backup-simplify]: Simplify 0 into 0 67.410 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ -1/2 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 120) into 0 67.411 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))))) into 0 67.414 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 67.414 * [backup-simplify]: Simplify 0 into 0 67.420 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ -1/2 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 720) into 0 67.422 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))))))) into 0 67.425 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 67.425 * [backup-simplify]: Simplify 0 into 0 67.425 * [backup-simplify]: Simplify (pow (cos (/ -1/2 (/ 1 (- K)))) 1/3) into (pow (cos (* 1/2 K)) 1/3) 67.425 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 67.425 * [backup-simplify]: Simplify (cbrt (cos (/ K 2))) into (pow (cos (* 1/2 K)) 1/3) 67.425 * [approximate]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in (K) around 0 67.425 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in K 67.425 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (* 1/2 K))))) in K 67.425 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (* 1/2 K)))) in K 67.425 * [taylor]: Taking taylor expansion of 1/3 in K 67.425 * [backup-simplify]: Simplify 1/3 into 1/3 67.425 * [taylor]: Taking taylor expansion of (log (cos (* 1/2 K))) in K 67.425 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 67.425 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 67.425 * [taylor]: Taking taylor expansion of 1/2 in K 67.425 * [backup-simplify]: Simplify 1/2 into 1/2 67.425 * [taylor]: Taking taylor expansion of K in K 67.425 * [backup-simplify]: Simplify 0 into 0 67.426 * [backup-simplify]: Simplify 1 into 1 67.426 * [backup-simplify]: Simplify (* 1/2 0) into 0 67.426 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 67.426 * [backup-simplify]: Simplify (log 1) into 0 67.427 * [backup-simplify]: Simplify (* 1/3 0) into 0 67.427 * [backup-simplify]: Simplify (+ 0) into 0 67.428 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 67.428 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 67.429 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 67.430 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/8 67.431 * [backup-simplify]: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24 67.431 * [backup-simplify]: Simplify (exp 0) into 1 67.431 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in K 67.431 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (* 1/2 K))))) in K 67.431 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (* 1/2 K)))) in K 67.431 * [taylor]: Taking taylor expansion of 1/3 in K 67.431 * [backup-simplify]: Simplify 1/3 into 1/3 67.431 * [taylor]: Taking taylor expansion of (log (cos (* 1/2 K))) in K 67.431 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 67.431 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 67.431 * [taylor]: Taking taylor expansion of 1/2 in K 67.431 * [backup-simplify]: Simplify 1/2 into 1/2 67.431 * [taylor]: Taking taylor expansion of K in K 67.431 * [backup-simplify]: Simplify 0 into 0 67.431 * [backup-simplify]: Simplify 1 into 1 67.431 * [backup-simplify]: Simplify (* 1/2 0) into 0 67.432 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 67.432 * [backup-simplify]: Simplify (log 1) into 0 67.432 * [backup-simplify]: Simplify (* 1/3 0) into 0 67.432 * [backup-simplify]: Simplify (+ 0) into 0 67.433 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 67.434 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 67.434 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 67.436 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/8 67.436 * [backup-simplify]: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24 67.436 * [backup-simplify]: Simplify (exp 0) into 1 67.437 * [backup-simplify]: Simplify 1 into 1 67.437 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 67.437 * [backup-simplify]: Simplify 0 into 0 67.438 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1/24 1) 1)))) into -1/24 67.438 * [backup-simplify]: Simplify -1/24 into -1/24 67.439 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 67.440 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 67.443 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 67.443 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 0)))) into 0 67.445 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -1/24 1) 1)) (* (/ (pow 0 1) 1)))) into 0 67.445 * [backup-simplify]: Simplify 0 into 0 67.446 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 67.447 * [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 67.454 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -1/8) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 -1/8) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/384) 1)) (pow 1 1)))) 24) into -1/192 67.455 * [backup-simplify]: Simplify (+ (* 1/3 -1/192) (+ (* 0 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 0))))) into -1/576 67.458 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -1/24 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -1/24 2) 2)) (* (/ (pow -1/576 1) 1)))) into -1/1152 67.458 * [backup-simplify]: Simplify -1/1152 into -1/1152 67.458 * [backup-simplify]: Simplify (+ (* -1/1152 (pow K 4)) (+ (* -1/24 (pow K 2)) 1)) into (- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2)))) 67.458 * [backup-simplify]: Simplify (cbrt (cos (/ (/ 1 K) 2))) into (pow (cos (/ 1/2 K)) 1/3) 67.458 * [approximate]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in (K) around 0 67.458 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in K 67.458 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1/2 K))))) in K 67.458 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1/2 K)))) in K 67.458 * [taylor]: Taking taylor expansion of 1/3 in K 67.458 * [backup-simplify]: Simplify 1/3 into 1/3 67.458 * [taylor]: Taking taylor expansion of (log (cos (/ 1/2 K))) in K 67.458 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 67.458 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 67.458 * [taylor]: Taking taylor expansion of 1/2 in K 67.458 * [backup-simplify]: Simplify 1/2 into 1/2 67.458 * [taylor]: Taking taylor expansion of K in K 67.458 * [backup-simplify]: Simplify 0 into 0 67.458 * [backup-simplify]: Simplify 1 into 1 67.459 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 67.459 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 67.459 * [backup-simplify]: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) 67.459 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K)))) 67.459 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3) 67.459 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in K 67.459 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1/2 K))))) in K 67.459 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1/2 K)))) in K 67.459 * [taylor]: Taking taylor expansion of 1/3 in K 67.459 * [backup-simplify]: Simplify 1/3 into 1/3 67.459 * [taylor]: Taking taylor expansion of (log (cos (/ 1/2 K))) in K 67.459 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 67.459 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 67.459 * [taylor]: Taking taylor expansion of 1/2 in K 67.459 * [backup-simplify]: Simplify 1/2 into 1/2 67.459 * [taylor]: Taking taylor expansion of K in K 67.459 * [backup-simplify]: Simplify 0 into 0 67.459 * [backup-simplify]: Simplify 1 into 1 67.459 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 67.460 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 67.460 * [backup-simplify]: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) 67.460 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K)))) 67.460 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3) 67.460 * [backup-simplify]: Simplify (pow (cos (/ 1/2 K)) 1/3) into (pow (cos (/ 1/2 K)) 1/3) 67.460 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 1) into 0 67.461 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ 1/2 K))))) into 0 67.461 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 67.461 * [backup-simplify]: Simplify 0 into 0 67.462 * [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 67.463 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))) into 0 67.464 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 67.464 * [backup-simplify]: Simplify 0 into 0 67.465 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 6) into 0 67.466 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))) into 0 67.467 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 67.467 * [backup-simplify]: Simplify 0 into 0 67.470 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ 1/2 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 24) into 0 67.471 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))))) into 0 67.472 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 67.472 * [backup-simplify]: Simplify 0 into 0 67.477 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ 1/2 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 120) into 0 67.478 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))))) into 0 67.481 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 67.481 * [backup-simplify]: Simplify 0 into 0 67.494 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ 1/2 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 720) into 0 67.496 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))))))) into 0 67.504 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 67.504 * [backup-simplify]: Simplify 0 into 0 67.504 * [backup-simplify]: Simplify (pow (cos (/ 1/2 (/ 1 K))) 1/3) into (pow (cos (* 1/2 K)) 1/3) 67.504 * [backup-simplify]: Simplify (cbrt (cos (/ (/ 1 (- K)) 2))) into (pow (cos (/ -1/2 K)) 1/3) 67.504 * [approximate]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in (K) around 0 67.504 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in K 67.504 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1/2 K))))) in K 67.504 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1/2 K)))) in K 67.504 * [taylor]: Taking taylor expansion of 1/3 in K 67.504 * [backup-simplify]: Simplify 1/3 into 1/3 67.504 * [taylor]: Taking taylor expansion of (log (cos (/ -1/2 K))) in K 67.504 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 67.504 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 67.504 * [taylor]: Taking taylor expansion of -1/2 in K 67.504 * [backup-simplify]: Simplify -1/2 into -1/2 67.504 * [taylor]: Taking taylor expansion of K in K 67.504 * [backup-simplify]: Simplify 0 into 0 67.504 * [backup-simplify]: Simplify 1 into 1 67.505 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 67.505 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 67.505 * [backup-simplify]: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) 67.505 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K)))) 67.505 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3) 67.505 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in K 67.505 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1/2 K))))) in K 67.505 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1/2 K)))) in K 67.505 * [taylor]: Taking taylor expansion of 1/3 in K 67.505 * [backup-simplify]: Simplify 1/3 into 1/3 67.505 * [taylor]: Taking taylor expansion of (log (cos (/ -1/2 K))) in K 67.505 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 67.505 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 67.506 * [taylor]: Taking taylor expansion of -1/2 in K 67.506 * [backup-simplify]: Simplify -1/2 into -1/2 67.506 * [taylor]: Taking taylor expansion of K in K 67.506 * [backup-simplify]: Simplify 0 into 0 67.506 * [backup-simplify]: Simplify 1 into 1 67.506 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 67.506 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 67.506 * [backup-simplify]: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) 67.506 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K)))) 67.506 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3) 67.506 * [backup-simplify]: Simplify (pow (cos (/ -1/2 K)) 1/3) into (pow (cos (/ -1/2 K)) 1/3) 67.507 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 1) into 0 67.508 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ -1/2 K))))) into 0 67.509 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 67.509 * [backup-simplify]: Simplify 0 into 0 67.510 * [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 67.511 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))) into 0 67.513 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 67.513 * [backup-simplify]: Simplify 0 into 0 67.515 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 6) into 0 67.517 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))) into 0 67.519 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 67.519 * [backup-simplify]: Simplify 0 into 0 67.523 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ -1/2 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 24) into 0 67.525 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))))) into 0 67.528 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 67.528 * [backup-simplify]: Simplify 0 into 0 67.537 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ -1/2 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 120) into 0 67.539 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))))) into 0 67.542 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 67.542 * [backup-simplify]: Simplify 0 into 0 67.554 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ -1/2 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 720) into 0 67.556 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))))))) into 0 67.562 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 67.562 * [backup-simplify]: Simplify 0 into 0 67.562 * [backup-simplify]: Simplify (pow (cos (/ -1/2 (/ 1 (- K)))) 1/3) into (pow (cos (* 1/2 K)) 1/3) 67.562 * * * [progress]: simplifying candidates 67.562 * * * * [progress]: [ 1 / 94 ] simplifiying candidate # 67.563 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J))) 67.563 * * [simplify]: iters left: 6 (23 enodes) 67.574 * * [simplify]: iters left: 5 (96 enodes) 67.608 * * [simplify]: iters left: 4 (212 enodes) 67.705 * * [simplify]: Extracting #0: cost 1 inf + 0 67.706 * * [simplify]: Extracting #1: cost 37 inf + 0 67.706 * * [simplify]: Extracting #2: cost 98 inf + 2 67.707 * * [simplify]: Extracting #3: cost 104 inf + 87 67.707 * * [simplify]: Extracting #4: cost 156 inf + 174 67.710 * * [simplify]: Extracting #5: cost 214 inf + 4746 67.721 * * [simplify]: Extracting #6: cost 82 inf + 36089 67.747 * * [simplify]: Extracting #7: cost 6 inf + 63029 67.764 * * [simplify]: Extracting #8: cost 0 inf + 64891 67.781 * * [simplify]: Extracting #9: cost 0 inf + 64890 67.802 * [simplify]: Simplified to (* (* -2 (* J (cos (/ K 2)))) (sqrt (+ 1 (* (/ (/ U (* J (cos (/ K 2)))) 2) (/ (/ U (* J (cos (/ K 2)))) 2))))) 67.802 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* -2 (* J (cos (/ K 2)))) (sqrt (+ 1 (* (/ (/ U (* J (cos (/ K 2)))) 2) (/ (/ U (* J (cos (/ K 2)))) 2))))) 1)) 67.802 * * * * [progress]: [ 2 / 94 ] simplifiying candidate # 67.802 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J))) 67.803 * * [simplify]: iters left: 6 (23 enodes) 67.809 * * [simplify]: iters left: 5 (96 enodes) 67.826 * * [simplify]: iters left: 4 (212 enodes) 67.896 * * [simplify]: Extracting #0: cost 1 inf + 0 67.897 * * [simplify]: Extracting #1: cost 37 inf + 0 67.897 * * [simplify]: Extracting #2: cost 98 inf + 2 67.898 * * [simplify]: Extracting #3: cost 104 inf + 87 67.898 * * [simplify]: Extracting #4: cost 156 inf + 174 67.901 * * [simplify]: Extracting #5: cost 214 inf + 4746 67.912 * * [simplify]: Extracting #6: cost 82 inf + 36089 67.937 * * [simplify]: Extracting #7: cost 6 inf + 63029 67.950 * * [simplify]: Extracting #8: cost 0 inf + 64891 67.964 * * [simplify]: Extracting #9: cost 0 inf + 64890 67.993 * [simplify]: Simplified to (* (* -2 (* J (cos (/ K 2)))) (sqrt (+ 1 (* (/ (/ U (* J (cos (/ K 2)))) 2) (/ (/ U (* J (cos (/ K 2)))) 2))))) 67.994 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* -2 (* J (cos (/ K 2)))) (sqrt (+ 1 (* (/ (/ U (* J (cos (/ K 2)))) 2) (/ (/ U (* J (cos (/ K 2)))) 2))))) 1)) 67.994 * * * * [progress]: [ 3 / 94 ] simplifiying candidate # 67.994 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J))) 67.994 * * [simplify]: iters left: 6 (23 enodes) 68.003 * * [simplify]: iters left: 5 (96 enodes) 68.020 * * [simplify]: iters left: 4 (212 enodes) 68.111 * * [simplify]: Extracting #0: cost 1 inf + 0 68.111 * * [simplify]: Extracting #1: cost 37 inf + 0 68.111 * * [simplify]: Extracting #2: cost 98 inf + 2 68.112 * * [simplify]: Extracting #3: cost 104 inf + 87 68.113 * * [simplify]: Extracting #4: cost 156 inf + 174 68.115 * * [simplify]: Extracting #5: cost 214 inf + 4746 68.126 * * [simplify]: Extracting #6: cost 82 inf + 36089 68.148 * * [simplify]: Extracting #7: cost 6 inf + 63029 68.161 * * [simplify]: Extracting #8: cost 0 inf + 64891 68.178 * * [simplify]: Extracting #9: cost 0 inf + 64890 68.204 * [simplify]: Simplified to (* (* -2 (* J (cos (/ K 2)))) (sqrt (+ 1 (* (/ (/ U (* J (cos (/ K 2)))) 2) (/ (/ U (* J (cos (/ K 2)))) 2))))) 68.204 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* -2 (* J (cos (/ K 2)))) (sqrt (+ 1 (* (/ (/ U (* J (cos (/ K 2)))) 2) (/ (/ U (* J (cos (/ K 2)))) 2))))) 1)) 68.205 * * * * [progress]: [ 4 / 94 ] simplifiying candidate # 68.205 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J))) 68.205 * * [simplify]: iters left: 6 (23 enodes) 68.215 * * [simplify]: iters left: 5 (96 enodes) 68.234 * * [simplify]: iters left: 4 (212 enodes) 68.324 * * [simplify]: Extracting #0: cost 1 inf + 0 68.325 * * [simplify]: Extracting #1: cost 37 inf + 0 68.325 * * [simplify]: Extracting #2: cost 98 inf + 2 68.326 * * [simplify]: Extracting #3: cost 104 inf + 87 68.327 * * [simplify]: Extracting #4: cost 156 inf + 174 68.332 * * [simplify]: Extracting #5: cost 214 inf + 4746 68.339 * * [simplify]: Extracting #6: cost 82 inf + 36089 68.352 * * [simplify]: Extracting #7: cost 6 inf + 63029 68.367 * * [simplify]: Extracting #8: cost 0 inf + 64891 68.394 * * [simplify]: Extracting #9: cost 0 inf + 64890 68.410 * [simplify]: Simplified to (* (* -2 (* J (cos (/ K 2)))) (sqrt (+ 1 (* (/ (/ U (* J (cos (/ K 2)))) 2) (/ (/ U (* J (cos (/ K 2)))) 2))))) 68.410 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* -2 (* J (cos (/ K 2)))) (sqrt (+ 1 (* (/ (/ U (* J (cos (/ K 2)))) 2) (/ (/ U (* J (cos (/ K 2)))) 2))))) 1)) 68.410 * * * * [progress]: [ 5 / 94 ] simplifiying candidate # 68.410 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J))) 68.411 * * [simplify]: iters left: 6 (23 enodes) 68.417 * * [simplify]: iters left: 5 (96 enodes) 68.440 * * [simplify]: iters left: 4 (212 enodes) 68.536 * * [simplify]: Extracting #0: cost 1 inf + 0 68.536 * * [simplify]: Extracting #1: cost 37 inf + 0 68.536 * * [simplify]: Extracting #2: cost 98 inf + 2 68.537 * * [simplify]: Extracting #3: cost 104 inf + 87 68.537 * * [simplify]: Extracting #4: cost 156 inf + 174 68.538 * * [simplify]: Extracting #5: cost 214 inf + 4746 68.544 * * [simplify]: Extracting #6: cost 82 inf + 36089 68.559 * * [simplify]: Extracting #7: cost 6 inf + 63029 68.573 * * [simplify]: Extracting #8: cost 0 inf + 64891 68.586 * * [simplify]: Extracting #9: cost 0 inf + 64890 68.604 * [simplify]: Simplified to (* (* -2 (* J (cos (/ K 2)))) (sqrt (+ 1 (* (/ (/ U (* J (cos (/ K 2)))) 2) (/ (/ U (* J (cos (/ K 2)))) 2))))) 68.604 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* -2 (* J (cos (/ K 2)))) (sqrt (+ 1 (* (/ (/ U (* J (cos (/ K 2)))) 2) (/ (/ U (* J (cos (/ K 2)))) 2))))) 1)) 68.604 * * * * [progress]: [ 6 / 94 ] simplifiying candidate # 68.604 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J))) 68.605 * * [simplify]: iters left: 6 (23 enodes) 68.616 * * [simplify]: iters left: 5 (96 enodes) 68.650 * * [simplify]: iters left: 4 (212 enodes) 68.719 * * [simplify]: Extracting #0: cost 1 inf + 0 68.720 * * [simplify]: Extracting #1: cost 37 inf + 0 68.720 * * [simplify]: Extracting #2: cost 98 inf + 2 68.721 * * [simplify]: Extracting #3: cost 104 inf + 87 68.722 * * [simplify]: Extracting #4: cost 156 inf + 174 68.724 * * [simplify]: Extracting #5: cost 214 inf + 4746 68.735 * * [simplify]: Extracting #6: cost 82 inf + 36089 68.761 * * [simplify]: Extracting #7: cost 6 inf + 63029 68.791 * * [simplify]: Extracting #8: cost 0 inf + 64891 68.810 * * [simplify]: Extracting #9: cost 0 inf + 64890 68.824 * [simplify]: Simplified to (* (* -2 (* J (cos (/ K 2)))) (sqrt (+ 1 (* (/ (/ U (* J (cos (/ K 2)))) 2) (/ (/ U (* J (cos (/ K 2)))) 2))))) 68.824 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* -2 (* J (cos (/ K 2)))) (sqrt (+ 1 (* (/ (/ U (* J (cos (/ K 2)))) 2) (/ (/ U (* J (cos (/ K 2)))) 2))))) 1)) 68.824 * * * * [progress]: [ 7 / 94 ] simplifiying candidate # 68.824 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J))) 68.824 * * [simplify]: iters left: 6 (23 enodes) 68.830 * * [simplify]: iters left: 5 (96 enodes) 68.855 * * [simplify]: iters left: 4 (212 enodes) 68.934 * * [simplify]: Extracting #0: cost 1 inf + 0 68.934 * * [simplify]: Extracting #1: cost 37 inf + 0 68.935 * * [simplify]: Extracting #2: cost 98 inf + 2 68.935 * * [simplify]: Extracting #3: cost 104 inf + 87 68.936 * * [simplify]: Extracting #4: cost 156 inf + 174 68.938 * * [simplify]: Extracting #5: cost 214 inf + 4746 68.944 * * [simplify]: Extracting #6: cost 82 inf + 36089 68.957 * * [simplify]: Extracting #7: cost 6 inf + 63029 68.980 * * [simplify]: Extracting #8: cost 0 inf + 64891 69.009 * * [simplify]: Extracting #9: cost 0 inf + 64890 69.036 * [simplify]: Simplified to (* (* -2 (* J (cos (/ K 2)))) (sqrt (+ 1 (* (/ (/ U (* J (cos (/ K 2)))) 2) (/ (/ U (* J (cos (/ K 2)))) 2))))) 69.036 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* -2 (* J (cos (/ K 2)))) (sqrt (+ 1 (* (/ (/ U (* J (cos (/ K 2)))) 2) (/ (/ U (* J (cos (/ K 2)))) 2))))) 1)) 69.036 * * * * [progress]: [ 8 / 94 ] simplifiying candidate # 69.036 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J))) 69.037 * * [simplify]: iters left: 6 (23 enodes) 69.049 * * [simplify]: iters left: 5 (96 enodes) 69.078 * * [simplify]: iters left: 4 (212 enodes) 69.138 * * [simplify]: Extracting #0: cost 1 inf + 0 69.139 * * [simplify]: Extracting #1: cost 37 inf + 0 69.139 * * [simplify]: Extracting #2: cost 98 inf + 2 69.140 * * [simplify]: Extracting #3: cost 104 inf + 87 69.140 * * [simplify]: Extracting #4: cost 156 inf + 174 69.143 * * [simplify]: Extracting #5: cost 214 inf + 4746 69.151 * * [simplify]: Extracting #6: cost 82 inf + 36089 69.163 * * [simplify]: Extracting #7: cost 6 inf + 63029 69.178 * * [simplify]: Extracting #8: cost 0 inf + 64891 69.205 * * [simplify]: Extracting #9: cost 0 inf + 64890 69.235 * [simplify]: Simplified to (* (* -2 (* J (cos (/ K 2)))) (sqrt (+ 1 (* (/ (/ U (* J (cos (/ K 2)))) 2) (/ (/ U (* J (cos (/ K 2)))) 2))))) 69.235 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* -2 (* J (cos (/ K 2)))) (sqrt (+ 1 (* (/ (/ U (* J (cos (/ K 2)))) 2) (/ (/ U (* J (cos (/ K 2)))) 2))))) 1)) 69.235 * * * * [progress]: [ 9 / 94 ] simplifiying candidate # 69.235 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J))) 69.235 * * [simplify]: iters left: 6 (23 enodes) 69.241 * * [simplify]: iters left: 5 (96 enodes) 69.258 * * [simplify]: iters left: 4 (212 enodes) 69.353 * * [simplify]: Extracting #0: cost 1 inf + 0 69.353 * * [simplify]: Extracting #1: cost 37 inf + 0 69.354 * * [simplify]: Extracting #2: cost 98 inf + 2 69.355 * * [simplify]: Extracting #3: cost 104 inf + 87 69.356 * * [simplify]: Extracting #4: cost 156 inf + 174 69.358 * * [simplify]: Extracting #5: cost 214 inf + 4746 69.368 * * [simplify]: Extracting #6: cost 82 inf + 36089 69.381 * * [simplify]: Extracting #7: cost 6 inf + 63029 69.394 * * [simplify]: Extracting #8: cost 0 inf + 64891 69.415 * * [simplify]: Extracting #9: cost 0 inf + 64890 69.429 * [simplify]: Simplified to (* (* -2 (* J (cos (/ K 2)))) (sqrt (+ 1 (* (/ (/ U (* J (cos (/ K 2)))) 2) (/ (/ U (* J (cos (/ K 2)))) 2))))) 69.429 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* -2 (* J (cos (/ K 2)))) (sqrt (+ 1 (* (/ (/ U (* J (cos (/ K 2)))) 2) (/ (/ U (* J (cos (/ K 2)))) 2))))) 1)) 69.429 * * * * [progress]: [ 10 / 94 ] simplifiying candidate # 69.429 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J))) 69.429 * * [simplify]: iters left: 6 (23 enodes) 69.435 * * [simplify]: iters left: 5 (96 enodes) 69.467 * * [simplify]: iters left: 4 (212 enodes) 69.549 * * [simplify]: Extracting #0: cost 1 inf + 0 69.549 * * [simplify]: Extracting #1: cost 37 inf + 0 69.549 * * [simplify]: Extracting #2: cost 98 inf + 2 69.549 * * [simplify]: Extracting #3: cost 104 inf + 87 69.550 * * [simplify]: Extracting #4: cost 156 inf + 174 69.551 * * [simplify]: Extracting #5: cost 214 inf + 4746 69.559 * * [simplify]: Extracting #6: cost 82 inf + 36089 69.580 * * [simplify]: Extracting #7: cost 6 inf + 63029 69.593 * * [simplify]: Extracting #8: cost 0 inf + 64891 69.613 * * [simplify]: Extracting #9: cost 0 inf + 64890 69.640 * [simplify]: Simplified to (* (* -2 (* J (cos (/ K 2)))) (sqrt (+ 1 (* (/ (/ U (* J (cos (/ K 2)))) 2) (/ (/ U (* J (cos (/ K 2)))) 2))))) 69.641 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* -2 (* J (cos (/ K 2)))) (sqrt (+ 1 (* (/ (/ U (* J (cos (/ K 2)))) 2) (/ (/ U (* J (cos (/ K 2)))) 2))))) 1)) 69.641 * * * * [progress]: [ 11 / 94 ] simplifiying candidate # 69.641 * * * * [progress]: [ 12 / 94 ] simplifiying candidate # 69.641 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (+ (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))))) (+ (log (cbrt (cos (/ K 2)))) (log J)))) 69.642 * * [simplify]: iters left: 6 (28 enodes) 69.656 * * [simplify]: iters left: 5 (111 enodes) 69.678 * * [simplify]: iters left: 4 (228 enodes) 69.767 * * [simplify]: Extracting #0: cost 1 inf + 0 69.767 * * [simplify]: Extracting #1: cost 33 inf + 0 69.768 * * [simplify]: Extracting #2: cost 106 inf + 0 69.769 * * [simplify]: Extracting #3: cost 110 inf + 73 69.769 * * [simplify]: Extracting #4: cost 112 inf + 650 69.771 * * [simplify]: Extracting #5: cost 177 inf + 652 69.772 * * [simplify]: Extracting #6: cost 262 inf + 2431 69.782 * * [simplify]: Extracting #7: cost 113 inf + 36272 69.805 * * [simplify]: Extracting #8: cost 40 inf + 61967 69.836 * * [simplify]: Extracting #9: cost 6 inf + 86271 69.855 * * [simplify]: Extracting #10: cost 0 inf + 91296 69.878 * [simplify]: Simplified to (+ (+ (log (cbrt (cos (/ K 2)))) (+ (+ (log (cbrt (cos (/ K 2)))) (log J)) (log (cbrt (cos (/ K 2)))))) (+ (log -2) (log (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))))) 69.878 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (log (cbrt (cos (/ K 2)))) (+ (+ (log (cbrt (cos (/ K 2)))) (log J)) (log (cbrt (cos (/ K 2)))))) (+ (log -2) (log (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))))))) 69.878 * * * * [progress]: [ 13 / 94 ] simplifiying candidate # 69.879 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (+ (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))))) (log (* (cbrt (cos (/ K 2))) J)))) 69.879 * * [simplify]: iters left: 6 (28 enodes) 69.893 * * [simplify]: iters left: 5 (111 enodes) 69.916 * * [simplify]: iters left: 4 (216 enodes) 69.996 * * [simplify]: Extracting #0: cost 1 inf + 0 69.996 * * [simplify]: Extracting #1: cost 32 inf + 0 69.996 * * [simplify]: Extracting #2: cost 99 inf + 0 69.997 * * [simplify]: Extracting #3: cost 105 inf + 73 69.998 * * [simplify]: Extracting #4: cost 107 inf + 650 69.999 * * [simplify]: Extracting #5: cost 172 inf + 652 70.001 * * [simplify]: Extracting #6: cost 265 inf + 862 70.003 * * [simplify]: Extracting #7: cost 248 inf + 2158 70.012 * * [simplify]: Extracting #8: cost 130 inf + 29064 70.036 * * [simplify]: Extracting #9: cost 37 inf + 65761 70.064 * * [simplify]: Extracting #10: cost 6 inf + 83754 70.096 * * [simplify]: Extracting #11: cost 0 inf + 87671 70.128 * [simplify]: Simplified to (+ (+ (log (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (+ (log (cbrt (cos (/ K 2)))) (log -2))) (+ (log (cbrt (cos (/ K 2)))) (+ (log J) (log (cbrt (cos (/ K 2))))))) 70.128 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (log (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (+ (log (cbrt (cos (/ K 2)))) (log -2))) (+ (log (cbrt (cos (/ K 2)))) (+ (log J) (log (cbrt (cos (/ K 2))))))))) 70.128 * * * * [progress]: [ 14 / 94 ] simplifiying candidate # 70.128 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (+ (log (* (cbrt (cos (/ K 2))) (cbrt (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))))) (+ (log (cbrt (cos (/ K 2)))) (log J)))) 70.129 * * [simplify]: iters left: 6 (28 enodes) 70.136 * * [simplify]: iters left: 5 (111 enodes) 70.154 * * [simplify]: iters left: 4 (216 enodes) 70.219 * * [simplify]: Extracting #0: cost 1 inf + 0 70.220 * * [simplify]: Extracting #1: cost 31 inf + 0 70.220 * * [simplify]: Extracting #2: cost 114 inf + 0 70.220 * * [simplify]: Extracting #3: cost 120 inf + 144 70.221 * * [simplify]: Extracting #4: cost 123 inf + 650 70.222 * * [simplify]: Extracting #5: cost 188 inf + 652 70.223 * * [simplify]: Extracting #6: cost 274 inf + 1737 70.227 * * [simplify]: Extracting #7: cost 143 inf + 30763 70.237 * * [simplify]: Extracting #8: cost 46 inf + 66097 70.255 * * [simplify]: Extracting #9: cost 5 inf + 93436 70.280 * * [simplify]: Extracting #10: cost 0 inf + 97246 70.316 * [simplify]: Simplified to (+ (+ (+ (+ (log -2) (log J)) (log (cbrt (cos (/ K 2))))) (log (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2)))))) 70.316 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (+ (+ (log -2) (log J)) (log (cbrt (cos (/ K 2))))) (log (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2)))))))) 70.316 * * * * [progress]: [ 15 / 94 ] simplifiying candidate # 70.317 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (+ (log (* (cbrt (cos (/ K 2))) (cbrt (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))))) (log (* (cbrt (cos (/ K 2))) J)))) 70.317 * * [simplify]: iters left: 6 (27 enodes) 70.330 * * [simplify]: iters left: 5 (109 enodes) 70.361 * * [simplify]: iters left: 4 (207 enodes) 70.408 * * [simplify]: Extracting #0: cost 1 inf + 0 70.408 * * [simplify]: Extracting #1: cost 28 inf + 0 70.408 * * [simplify]: Extracting #2: cost 95 inf + 0 70.408 * * [simplify]: Extracting #3: cost 106 inf + 144 70.409 * * [simplify]: Extracting #4: cost 111 inf + 286 70.409 * * [simplify]: Extracting #5: cost 174 inf + 652 70.410 * * [simplify]: Extracting #6: cost 258 inf + 2253 70.416 * * [simplify]: Extracting #7: cost 116 inf + 38551 70.429 * * [simplify]: Extracting #8: cost 9 inf + 82106 70.449 * * [simplify]: Extracting #9: cost 0 inf + 88047 70.464 * [simplify]: Simplified to (+ (+ (+ (log (* J (cbrt (cos (/ K 2))))) (log -2)) (log (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))) (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2)))))) 70.464 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (+ (log (* J (cbrt (cos (/ K 2))))) (log -2)) (log (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))) (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2)))))))) 70.465 * * * * [progress]: [ 16 / 94 ] simplifiying candidate # 70.465 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (log (* (* (cbrt (cos (/ K 2))) (cbrt (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J)))) 70.465 * * [simplify]: iters left: 6 (26 enodes) 70.472 * * [simplify]: iters left: 5 (106 enodes) 70.503 * * [simplify]: iters left: 4 (210 enodes) 70.562 * * [simplify]: Extracting #0: cost 1 inf + 0 70.563 * * [simplify]: Extracting #1: cost 19 inf + 0 70.563 * * [simplify]: Extracting #2: cost 66 inf + 0 70.563 * * [simplify]: Extracting #3: cost 81 inf + 144 70.564 * * [simplify]: Extracting #4: cost 86 inf + 468 70.565 * * [simplify]: Extracting #5: cost 143 inf + 470 70.566 * * [simplify]: Extracting #6: cost 223 inf + 557 70.568 * * [simplify]: Extracting #7: cost 200 inf + 3018 70.576 * * [simplify]: Extracting #8: cost 93 inf + 29868 70.590 * * [simplify]: Extracting #9: cost 6 inf + 61397 70.601 * * [simplify]: Extracting #10: cost 0 inf + 63698 70.612 * [simplify]: Simplified to (+ (log -2) (+ (log (* J (cos (/ K 2)))) (log (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))))) 70.612 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log -2) (+ (log (* J (cos (/ K 2)))) (log (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))))))) 70.612 * * * * [progress]: [ 17 / 94 ] simplifiying candidate # 70.612 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (+ (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))))) (+ (log (cbrt (cos (/ K 2)))) (log J)))) 70.612 * * [simplify]: iters left: 6 (27 enodes) 70.622 * * [simplify]: iters left: 5 (109 enodes) 70.658 * * [simplify]: iters left: 4 (218 enodes) 70.741 * * [simplify]: Extracting #0: cost 1 inf + 0 70.741 * * [simplify]: Extracting #1: cost 30 inf + 0 70.741 * * [simplify]: Extracting #2: cost 95 inf + 0 70.742 * * [simplify]: Extracting #3: cost 97 inf + 144 70.742 * * [simplify]: Extracting #4: cost 101 inf + 468 70.743 * * [simplify]: Extracting #5: cost 165 inf + 652 70.744 * * [simplify]: Extracting #6: cost 257 inf + 864 70.747 * * [simplify]: Extracting #7: cost 228 inf + 4112 70.754 * * [simplify]: Extracting #8: cost 123 inf + 29146 70.778 * * [simplify]: Extracting #9: cost 21 inf + 70444 70.805 * * [simplify]: Extracting #10: cost 1 inf + 82555 70.835 * * [simplify]: Extracting #11: cost 0 inf + 83350 70.852 * [simplify]: Simplified to (+ (+ (log (cbrt (cos (/ K 2)))) (+ (log J) (log (* -2 (sqrt (+ 1 (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)))))))) (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2)))))) 70.852 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (log (cbrt (cos (/ K 2)))) (+ (log J) (log (* -2 (sqrt (+ 1 (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)))))))) (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2)))))))) 70.852 * * * * [progress]: [ 18 / 94 ] simplifiying candidate # 70.852 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (+ (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))))) (log (* (cbrt (cos (/ K 2))) J)))) 70.852 * * [simplify]: iters left: 6 (27 enodes) 70.860 * * [simplify]: iters left: 5 (109 enodes) 70.880 * * [simplify]: iters left: 4 (208 enodes) 70.935 * * [simplify]: Extracting #0: cost 1 inf + 0 70.935 * * [simplify]: Extracting #1: cost 28 inf + 0 70.936 * * [simplify]: Extracting #2: cost 87 inf + 0 70.936 * * [simplify]: Extracting #3: cost 92 inf + 144 70.936 * * [simplify]: Extracting #4: cost 97 inf + 286 70.937 * * [simplify]: Extracting #5: cost 162 inf + 288 70.937 * * [simplify]: Extracting #6: cost 255 inf + 458 70.939 * * [simplify]: Extracting #7: cost 227 inf + 3526 70.943 * * [simplify]: Extracting #8: cost 109 inf + 31907 70.956 * * [simplify]: Extracting #9: cost 8 inf + 74740 70.972 * * [simplify]: Extracting #10: cost 0 inf + 79678 70.998 * [simplify]: Simplified to (+ (log (* -2 (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)))) (log (cbrt (cos (/ K 2))))))) 70.998 * [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 (* (cbrt (cos (/ K 2))) J)) (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2))))))))) 70.999 * * * * [progress]: [ 19 / 94 ] simplifiying candidate # 70.999 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (+ (log (* (cbrt (cos (/ K 2))) (cbrt (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))))) (+ (log (cbrt (cos (/ K 2)))) (log J)))) 70.999 * * [simplify]: iters left: 6 (27 enodes) 71.014 * * [simplify]: iters left: 5 (109 enodes) 71.050 * * [simplify]: iters left: 4 (208 enodes) 71.134 * * [simplify]: Extracting #0: cost 1 inf + 0 71.134 * * [simplify]: Extracting #1: cost 28 inf + 0 71.134 * * [simplify]: Extracting #2: cost 97 inf + 0 71.135 * * [simplify]: Extracting #3: cost 106 inf + 73 71.135 * * [simplify]: Extracting #4: cost 109 inf + 468 71.136 * * [simplify]: Extracting #5: cost 173 inf + 652 71.136 * * [simplify]: Extracting #6: cost 265 inf + 864 71.138 * * [simplify]: Extracting #7: cost 235 inf + 4134 71.142 * * [simplify]: Extracting #8: cost 111 inf + 35237 71.152 * * [simplify]: Extracting #9: cost 41 inf + 59056 71.177 * * [simplify]: Extracting #10: cost 5 inf + 82729 71.196 * * [simplify]: Extracting #11: cost 0 inf + 86487 71.215 * [simplify]: Simplified to (+ (+ (log J) (log (* -2 (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))))) (+ (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2))))) (log (cbrt (cos (/ K 2)))))) 71.215 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (log J) (log (* -2 (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))))) (+ (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2))))) (log (cbrt (cos (/ K 2)))))))) 71.216 * * * * [progress]: [ 20 / 94 ] simplifiying candidate # 71.216 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (+ (log (* (cbrt (cos (/ K 2))) (cbrt (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))))) (log (* (cbrt (cos (/ K 2))) J)))) 71.216 * * [simplify]: iters left: 6 (26 enodes) 71.226 * * [simplify]: iters left: 5 (107 enodes) 71.261 * * [simplify]: iters left: 4 (201 enodes) 71.350 * * [simplify]: Extracting #0: cost 1 inf + 0 71.350 * * [simplify]: Extracting #1: cost 27 inf + 0 71.350 * * [simplify]: Extracting #2: cost 83 inf + 0 71.351 * * [simplify]: Extracting #3: cost 95 inf + 144 71.351 * * [simplify]: Extracting #4: cost 100 inf + 286 71.352 * * [simplify]: Extracting #5: cost 165 inf + 288 71.354 * * [simplify]: Extracting #6: cost 258 inf + 498 71.356 * * [simplify]: Extracting #7: cost 234 inf + 2775 71.362 * * [simplify]: Extracting #8: cost 134 inf + 25607 71.372 * * [simplify]: Extracting #9: cost 35 inf + 63013 71.387 * * [simplify]: Extracting #10: cost 0 inf + 80889 71.409 * [simplify]: Simplified to (+ (log J) (+ (log (cbrt (cos (/ K 2)))) (+ (+ (log (* -2 (sqrt (+ 1 (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)))))) (log (cbrt (cos (/ K 2))))) (log (cbrt (cos (/ K 2))))))) 71.409 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log J) (+ (log (cbrt (cos (/ K 2)))) (+ (+ (log (* -2 (sqrt (+ 1 (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)))))) (log (cbrt (cos (/ K 2))))) (log (cbrt (cos (/ K 2))))))))) 71.409 * * * * [progress]: [ 21 / 94 ] simplifiying candidate # 71.410 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (log (* (* (cbrt (cos (/ K 2))) (cbrt (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J)))) 71.410 * * [simplify]: iters left: 6 (25 enodes) 71.423 * * [simplify]: iters left: 5 (104 enodes) 71.441 * * [simplify]: iters left: 4 (207 enodes) 71.485 * * [simplify]: Extracting #0: cost 1 inf + 0 71.485 * * [simplify]: Extracting #1: cost 19 inf + 0 71.486 * * [simplify]: Extracting #2: cost 60 inf + 0 71.486 * * [simplify]: Extracting #3: cost 77 inf + 73 71.486 * * [simplify]: Extracting #4: cost 82 inf + 286 71.486 * * [simplify]: Extracting #5: cost 139 inf + 288 71.487 * * [simplify]: Extracting #6: cost 218 inf + 417 71.488 * * [simplify]: Extracting #7: cost 197 inf + 2543 71.491 * * [simplify]: Extracting #8: cost 102 inf + 25079 71.501 * * [simplify]: Extracting #9: cost 8 inf + 57270 71.511 * * [simplify]: Extracting #10: cost 0 inf + 59815 71.526 * [simplify]: Simplified to (+ (log (* J (cos (/ K 2)))) (log (* -2 (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))))) 71.526 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log (* J (cos (/ K 2)))) (log (* -2 (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))))))) 71.527 * * * * [progress]: [ 22 / 94 ] simplifiying candidate # 71.527 * * * * [progress]: [ 23 / 94 ] simplifiying candidate # 71.527 * * * * [progress]: [ 24 / 94 ] simplifiying candidate # 71.527 * [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)) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) (* (cos (/ K 2)) (* (* J J) J)))) 71.527 * * [simplify]: iters left: 6 (28 enodes) 71.535 * * [simplify]: iters left: 5 (121 enodes) 71.569 * * [simplify]: iters left: 4 (338 enodes) 71.797 * * [simplify]: Extracting #0: cost 1 inf + 0 71.797 * * [simplify]: Extracting #1: cost 98 inf + 0 71.799 * * [simplify]: Extracting #2: cost 451 inf + 126 71.803 * * [simplify]: Extracting #3: cost 573 inf + 982 71.810 * * [simplify]: Extracting #4: cost 599 inf + 12716 71.834 * * [simplify]: Extracting #5: cost 361 inf + 72789 71.868 * * [simplify]: Extracting #6: cost 117 inf + 175467 71.977 * * [simplify]: Extracting #7: cost 0 inf + 236436 72.086 * * [simplify]: Extracting #8: cost 0 inf + 236356 72.185 * [simplify]: Simplified to (* (* (* (* (cos (/ K 2)) (cos (/ K 2))) (* (* (+ 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))))))) (* (cos (/ K 2)) J)) (* J J)) 72.185 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (* (cos (/ K 2)) (cos (/ K 2))) (* (* (+ 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))))))) (* (cos (/ K 2)) J)) (* J J)))) 72.186 * * * * [progress]: [ 25 / 94 ] simplifiying candidate # 72.186 * [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)) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) (* (* (* (cbrt (cos (/ K 2))) J) (* (cbrt (cos (/ K 2))) J)) (* (cbrt (cos (/ K 2))) J)))) 72.186 * * [simplify]: iters left: 6 (28 enodes) 72.194 * * [simplify]: iters left: 5 (127 enodes) 72.226 * * [simplify]: iters left: 4 (383 enodes) 72.515 * * [simplify]: Extracting #0: cost 1 inf + 0 72.515 * * [simplify]: Extracting #1: cost 106 inf + 0 72.518 * * [simplify]: Extracting #2: cost 468 inf + 4 72.522 * * [simplify]: Extracting #3: cost 607 inf + 128 72.530 * * [simplify]: Extracting #4: cost 637 inf + 12469 72.554 * * [simplify]: Extracting #5: cost 387 inf + 77287 72.604 * * [simplify]: Extracting #6: cost 131 inf + 184190 72.701 * * [simplify]: Extracting #7: cost 1 inf + 256134 72.793 * * [simplify]: Extracting #8: cost 0 inf + 256760 72.868 * [simplify]: Simplified to (* (* (* (* (* J (cos (/ K 2))) (* J (* J (cos (/ K 2))))) (cos (/ K 2))) -8) (* (+ 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)))))))) 72.868 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (* (* J (cos (/ K 2))) (* J (* J (cos (/ K 2))))) (cos (/ K 2))) -8) (* (+ 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)))))))))) 72.868 * * * * [progress]: [ 26 / 94 ] simplifiying candidate # 72.869 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* -2 -2) -2)) (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) (cbrt (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))))) (* (cbrt (cos (/ K 2))) (cbrt (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))))) (* (cos (/ K 2)) (* (* J J) J)))) 72.870 * * [simplify]: iters left: 6 (31 enodes) 72.886 * * [simplify]: iters left: 5 (137 enodes) 72.942 * * [simplify]: iters left: 4 (394 enodes) 73.224 * * [simplify]: Extracting #0: cost 1 inf + 0 73.224 * * [simplify]: Extracting #1: cost 89 inf + 0 73.226 * * [simplify]: Extracting #2: cost 390 inf + 4 73.230 * * [simplify]: Extracting #3: cost 548 inf + 1059 73.237 * * [simplify]: Extracting #4: cost 572 inf + 13599 73.265 * * [simplify]: Extracting #5: cost 304 inf + 85497 73.327 * * [simplify]: Extracting #6: cost 114 inf + 168219 73.428 * * [simplify]: Extracting #7: cost 3 inf + 228762 73.535 * * [simplify]: Extracting #8: cost 0 inf + 230440 73.599 * [simplify]: Simplified to (* (* (cos (/ K 2)) (cos (/ K 2))) (* (* (* -8 (+ 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))))))) (* (* (* J J) J) (cos (/ K 2))))) 73.599 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (cos (/ K 2)) (cos (/ K 2))) (* (* (* -8 (+ 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))))))) (* (* (* J J) J) (cos (/ K 2))))))) 73.599 * * * * [progress]: [ 27 / 94 ] simplifiying candidate # 73.600 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* -2 -2) -2)) (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) (cbrt (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))))) (* (cbrt (cos (/ K 2))) (cbrt (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))))) (* (* (* (cbrt (cos (/ K 2))) J) (* (cbrt (cos (/ K 2))) J)) (* (cbrt (cos (/ K 2))) J)))) 73.600 * * [simplify]: iters left: 6 (31 enodes) 73.609 * * [simplify]: iters left: 5 (143 enodes) 73.642 * * [simplify]: iters left: 4 (436 enodes) 73.946 * * [simplify]: Extracting #0: cost 1 inf + 0 73.946 * * [simplify]: Extracting #1: cost 99 inf + 0 73.949 * * [simplify]: Extracting #2: cost 507 inf + 4 73.953 * * [simplify]: Extracting #3: cost 721 inf + 300 73.960 * * [simplify]: Extracting #4: cost 808 inf + 839 73.963 * * [simplify]: Extracting #5: cost 790 inf + 2280 73.972 * * [simplify]: Extracting #6: cost 589 inf + 54552 74.028 * * [simplify]: Extracting #7: cost 150 inf + 232228 74.128 * * [simplify]: Extracting #8: cost 2 inf + 308516 74.222 * * [simplify]: Extracting #9: cost 0 inf + 310008 74.319 * [simplify]: Simplified to (* -8 (* (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (* (* (* J (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2))))) (* (cos (/ K 2)) (cos (/ K 2)))) (* (* J (cbrt (cos (/ K 2)))) (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))))) 74.320 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* -8 (* (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (* (* (* J (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2))))) (* (cos (/ K 2)) (cos (/ K 2)))) (* (* J (cbrt (cos (/ K 2)))) (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))))))) 74.320 * * * * [progress]: [ 28 / 94 ] simplifiying candidate # 74.320 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* -2 -2) -2)) (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J)) (* (* (cbrt (cos (/ K 2))) (cbrt (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J))) (* (* (cbrt (cos (/ K 2))) (cbrt (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J)))) 74.321 * * [simplify]: iters left: 6 (29 enodes) 74.336 * * [simplify]: iters left: 5 (129 enodes) 74.390 * * [simplify]: iters left: 4 (412 enodes) 74.719 * * [simplify]: Extracting #0: cost 1 inf + 0 74.720 * * [simplify]: Extracting #1: cost 96 inf + 0 74.722 * * [simplify]: Extracting #2: cost 485 inf + 4 74.726 * * [simplify]: Extracting #3: cost 643 inf + 47 74.732 * * [simplify]: Extracting #4: cost 718 inf + 428 74.737 * * [simplify]: Extracting #5: cost 693 inf + 3210 74.760 * * [simplify]: Extracting #6: cost 453 inf + 66743 74.833 * * [simplify]: Extracting #7: cost 124 inf + 199409 74.892 * * [simplify]: Extracting #8: cost 3 inf + 267439 74.983 * * [simplify]: Extracting #9: cost 0 inf + 269437 75.091 * [simplify]: Simplified to (* (* (* J (cos (/ K 2))) (* (+ 1 (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J))) (* (* (sqrt (+ 1 (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)))) -8) (* J (cos (/ K 2)))))) (* J (cos (/ K 2)))) 75.091 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* J (cos (/ K 2))) (* (+ 1 (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J))) (* (* (sqrt (+ 1 (* (/ (/ U (* (cos (/ K 2)) 2)) J) (/ (/ U (* (cos (/ K 2)) 2)) J)))) -8) (* J (cos (/ K 2)))))) (* J (cos (/ K 2)))))) 75.091 * * * * [progress]: [ 29 / 94 ] simplifiying candidate # 75.092 * [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)) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) (* (cos (/ K 2)) (* (* J J) J)))) 75.092 * * [simplify]: iters left: 6 (26 enodes) 75.106 * * [simplify]: iters left: 5 (121 enodes) 75.152 * * [simplify]: iters left: 4 (320 enodes) 75.319 * * [simplify]: Extracting #0: cost 1 inf + 0 75.319 * * [simplify]: Extracting #1: cost 66 inf + 0 75.320 * * [simplify]: Extracting #2: cost 371 inf + 124 75.322 * * [simplify]: Extracting #3: cost 406 inf + 493 75.325 * * [simplify]: Extracting #4: cost 419 inf + 9236 75.350 * * [simplify]: Extracting #5: cost 289 inf + 95114 75.409 * * [simplify]: Extracting #6: cost 18 inf + 197150 75.475 * * [simplify]: Extracting #7: cost 0 inf + 201941 75.551 * * [simplify]: Extracting #8: cost 0 inf + 201819 75.618 * [simplify]: Simplified to (* (* -8 (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))) (* (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))) (* (cos (/ K 2)) (cos (/ K 2)))) (* (cos (/ K 2)) (* J (* J J))))) 75.618 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* -8 (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))) (* (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))) (* (cos (/ K 2)) (cos (/ K 2)))) (* (cos (/ K 2)) (* J (* J J))))))) 75.618 * * * * [progress]: [ 30 / 94 ] simplifiying candidate # 75.619 * [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)) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) (* (* (* (cbrt (cos (/ K 2))) J) (* (cbrt (cos (/ K 2))) J)) (* (cbrt (cos (/ K 2))) J)))) 75.619 * * [simplify]: iters left: 6 (26 enodes) 75.634 * * [simplify]: iters left: 5 (127 enodes) 75.678 * * [simplify]: iters left: 4 (365 enodes) 75.863 * * [simplify]: Extracting #0: cost 1 inf + 0 75.863 * * [simplify]: Extracting #1: cost 74 inf + 0 75.864 * * [simplify]: Extracting #2: cost 401 inf + 43 75.866 * * [simplify]: Extracting #3: cost 440 inf + 249 75.868 * * [simplify]: Extracting #4: cost 481 inf + 3049 75.889 * * [simplify]: Extracting #5: cost 360 inf + 84191 75.970 * * [simplify]: Extracting #6: cost 20 inf + 217354 76.053 * * [simplify]: Extracting #7: cost 0 inf + 224710 76.142 * * [simplify]: Extracting #8: cost 0 inf + 224588 76.246 * [simplify]: Simplified to (* (* (* (sqrt (+ 1 (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))))) (* (cos (/ K 2)) (cos (/ K 2)))) (* (* J J) (* J (cos (/ K 2))))) (* -8 (+ 1 (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2)))))) 76.246 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (sqrt (+ 1 (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))))) (* (cos (/ K 2)) (cos (/ K 2)))) (* (* J J) (* J (cos (/ K 2))))) (* -8 (+ 1 (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2)))))))) 76.247 * * * * [progress]: [ 31 / 94 ] simplifiying candidate # 76.247 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) (cbrt (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))))) (* (cbrt (cos (/ K 2))) (cbrt (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))))) (* (cos (/ K 2)) (* (* J J) J)))) 76.248 * * [simplify]: iters left: 6 (29 enodes) 76.256 * * [simplify]: iters left: 5 (137 enodes) 76.292 * * [simplify]: iters left: 4 (376 enodes) 76.543 * * [simplify]: Extracting #0: cost 1 inf + 0 76.544 * * [simplify]: Extracting #1: cost 79 inf + 0 76.546 * * [simplify]: Extracting #2: cost 364 inf + 3 76.549 * * [simplify]: Extracting #3: cost 490 inf + 471 76.553 * * [simplify]: Extracting #4: cost 571 inf + 841 76.572 * * [simplify]: Extracting #5: cost 322 inf + 72188 76.629 * * [simplify]: Extracting #6: cost 33 inf + 199942 76.701 * * [simplify]: Extracting #7: cost 0 inf + 216989 76.760 * * [simplify]: Extracting #8: cost 0 inf + 216988 76.829 * [simplify]: Simplified to (* J (* (* (cos (/ K 2)) (* J J)) (* (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (* (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) -8) (* (cos (/ K 2)) (cos (/ K 2))))))) 76.829 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* J (* (* (cos (/ K 2)) (* J J)) (* (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (* (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) -8) (* (cos (/ K 2)) (cos (/ K 2))))))))) 76.829 * * * * [progress]: [ 32 / 94 ] simplifiying candidate # 76.830 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) (cbrt (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))))) (* (cbrt (cos (/ K 2))) (cbrt (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))))) (* (* (* (cbrt (cos (/ K 2))) J) (* (cbrt (cos (/ K 2))) J)) (* (cbrt (cos (/ K 2))) J)))) 76.830 * * [simplify]: iters left: 6 (29 enodes) 76.838 * * [simplify]: iters left: 5 (143 enodes) 76.889 * * [simplify]: iters left: 4 (418 enodes) 77.125 * * [simplify]: Extracting #0: cost 1 inf + 0 77.126 * * [simplify]: Extracting #1: cost 83 inf + 0 77.127 * * [simplify]: Extracting #2: cost 488 inf + 43 77.129 * * [simplify]: Extracting #3: cost 594 inf + 299 77.132 * * [simplify]: Extracting #4: cost 656 inf + 463 77.135 * * [simplify]: Extracting #5: cost 743 inf + 882 77.139 * * [simplify]: Extracting #6: cost 694 inf + 8663 77.168 * * [simplify]: Extracting #7: cost 452 inf + 79880 77.231 * * [simplify]: Extracting #8: cost 93 inf + 238766 77.371 * * [simplify]: Extracting #9: cost 1 inf + 294168 77.479 * * [simplify]: Extracting #10: cost 0 inf + 293562 77.584 * [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 (cbrt (cos (/ K 2)))) (* (* J (cbrt (cos (/ K 2)))) (* (cos (/ K 2)) (cos (/ K 2))))) (* J (cbrt (cos (/ K 2)))))) 77.584 * [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 (cbrt (cos (/ K 2)))) (* (* J (cbrt (cos (/ K 2)))) (* (cos (/ K 2)) (cos (/ K 2))))) (* J (cbrt (cos (/ K 2)))))))) 77.585 * * * * [progress]: [ 33 / 94 ] simplifiying candidate # 77.586 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J)) (* (* (cbrt (cos (/ K 2))) (cbrt (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J))) (* (* (cbrt (cos (/ K 2))) (cbrt (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J)))) 77.586 * * [simplify]: iters left: 6 (27 enodes) 77.602 * * [simplify]: iters left: 5 (129 enodes) 77.638 * * [simplify]: iters left: 4 (394 enodes) 77.874 * * [simplify]: Extracting #0: cost 1 inf + 0 77.875 * * [simplify]: Extracting #1: cost 90 inf + 0 77.877 * * [simplify]: Extracting #2: cost 466 inf + 44 77.881 * * [simplify]: Extracting #3: cost 600 inf + 88 77.885 * * [simplify]: Extracting #4: cost 672 inf + 635 77.891 * * [simplify]: Extracting #5: cost 573 inf + 20106 77.914 * * [simplify]: Extracting #6: cost 243 inf + 144147 77.982 * * [simplify]: Extracting #7: cost 8 inf + 256577 78.072 * * [simplify]: Extracting #8: cost 0 inf + 259198 78.158 * * [simplify]: Extracting #9: cost 0 inf + 259157 78.257 * [simplify]: Simplified to (* (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) (* (* -8 (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) 78.258 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) (* (* -8 (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))))) 78.258 * * * * [progress]: [ 34 / 94 ] simplifiying candidate # 78.258 * * * * [progress]: [ 35 / 94 ] simplifiying candidate # 78.258 * * * * [progress]: [ 36 / 94 ] simplifiying candidate # 78.258 * * * * [progress]: [ 37 / 94 ] simplifiying candidate # 78.258 * * * * [progress]: [ 38 / 94 ] simplifiying candidate # 78.258 * [simplify]: Simplifying (* (cbrt (cos (/ K 2))) J) 78.258 * * [simplify]: iters left: 6 (7 enodes) 78.260 * * [simplify]: iters left: 5 (22 enodes) 78.264 * * [simplify]: Extracting #0: cost 1 inf + 0 78.264 * * [simplify]: Extracting #1: cost 4 inf + 0 78.264 * * [simplify]: Extracting #2: cost 5 inf + 1 78.264 * * [simplify]: Extracting #3: cost 7 inf + 1 78.264 * * [simplify]: Extracting #4: cost 10 inf + 1 78.264 * * [simplify]: Extracting #5: cost 8 inf + 3 78.264 * * [simplify]: Extracting #6: cost 1 inf + 878 78.264 * * [simplify]: Extracting #7: cost 0 inf + 1101 78.265 * [simplify]: Simplified to (* (cbrt (cos (/ K 2))) J) 78.265 * [simplify]: Simplified (2 2) to (λ (J K U) (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cbrt (cos (/ K 2))) (cbrt (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))))) (* (cbrt (cos (/ K 2))) J))) 78.265 * * * * [progress]: [ 39 / 94 ] simplifiying candidate # 78.265 * [simplify]: Simplifying (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 78.265 * * [simplify]: iters left: 6 (13 enodes) 78.269 * * [simplify]: iters left: 5 (52 enodes) 78.288 * * [simplify]: iters left: 4 (105 enodes) 78.315 * * [simplify]: iters left: 3 (359 enodes) 78.531 * * [simplify]: Extracting #0: cost 1 inf + 0 78.531 * * [simplify]: Extracting #1: cost 3 inf + 0 78.531 * * [simplify]: Extracting #2: cost 6 inf + 0 78.531 * * [simplify]: Extracting #3: cost 118 inf + 1 78.536 * * [simplify]: Extracting #4: cost 235 inf + 336 78.540 * * [simplify]: Extracting #5: cost 193 inf + 4402 78.548 * * [simplify]: Extracting #6: cost 119 inf + 19348 78.574 * * [simplify]: Extracting #7: cost 7 inf + 46040 78.601 * * [simplify]: Extracting #8: cost 0 inf + 47488 78.616 * [simplify]: Simplified to (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 78.616 * [simplify]: Simplified (2 1) to (λ (J K U) (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* -2 (* (* (cbrt (cos (/ K 2))) (cbrt (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J))))) 78.616 * * * * [progress]: [ 40 / 94 ] simplifiying candidate # 78.616 * [simplify]: Simplifying (* (* (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J))) 78.616 * * [simplify]: iters left: 6 (26 enodes) 78.624 * * [simplify]: iters left: 5 (114 enodes) 78.659 * * [simplify]: iters left: 4 (284 enodes) 78.804 * * [simplify]: Extracting #0: cost 1 inf + 0 78.804 * * [simplify]: Extracting #1: cost 38 inf + 0 78.805 * * [simplify]: Extracting #2: cost 102 inf + 2 78.805 * * [simplify]: Extracting #3: cost 108 inf + 87 78.807 * * [simplify]: Extracting #4: cost 193 inf + 2081 78.811 * * [simplify]: Extracting #5: cost 409 inf + 10706 78.832 * * [simplify]: Extracting #6: cost 263 inf + 69881 78.895 * * [simplify]: Extracting #7: cost 20 inf + 162879 78.950 * * [simplify]: Extracting #8: cost 0 inf + 168668 79.007 * * [simplify]: Extracting #9: cost 0 inf + 168304 79.072 * [simplify]: Simplified to (* (* (* J (cos (/ K 2))) -2) (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)))))) 79.072 * [simplify]: Simplified (2 1) to (λ (J K U) (/ (* (* (* J (cos (/ K 2))) -2) (sqrt (+ 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)))))) (sqrt (+ (* (* (/ 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)))))) 79.073 * * * * [progress]: [ 41 / 94 ] simplifiying candidate # 79.073 * [simplify]: Simplifying (* (* (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* 1 1))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J))) 79.073 * * [simplify]: iters left: 6 (25 enodes) 79.080 * * [simplify]: iters left: 5 (106 enodes) 79.100 * * [simplify]: iters left: 4 (258 enodes) 79.255 * * [simplify]: Extracting #0: cost 1 inf + 0 79.255 * * [simplify]: Extracting #1: cost 38 inf + 0 79.256 * * [simplify]: Extracting #2: cost 101 inf + 2 79.257 * * [simplify]: Extracting #3: cost 110 inf + 87 79.258 * * [simplify]: Extracting #4: cost 203 inf + 175 79.260 * * [simplify]: Extracting #5: cost 417 inf + 1563 79.280 * * [simplify]: Extracting #6: cost 218 inf + 60728 79.324 * * [simplify]: Extracting #7: cost 9 inf + 132530 79.365 * * [simplify]: Extracting #8: cost 0 inf + 136514 79.402 * [simplify]: Simplified to (* (* (sqrt (- (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) 1)) (* -2 (cos (/ K 2)))) J) 79.402 * [simplify]: Simplified (2 1) to (λ (J K U) (/ (* (* (sqrt (- (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) 1)) (* -2 (cos (/ K 2)))) J) (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) 79.402 * * * * [progress]: [ 42 / 94 ] simplifiying candidate #real (real->posit16 (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J))))))> 79.403 * * * * [progress]: [ 43 / 94 ] simplifiying candidate # 79.403 * * * * [progress]: [ 44 / 94 ] simplifiying candidate # 79.403 * * * * [progress]: [ 45 / 94 ] simplifiying candidate # 79.403 * * * * [progress]: [ 46 / 94 ] simplifiying candidate # 79.403 * * * * [progress]: [ 47 / 94 ] simplifiying candidate # 79.403 * * * * [progress]: [ 48 / 94 ] simplifiying candidate # 79.403 * * * * [progress]: [ 49 / 94 ] simplifiying candidate # 79.403 * * * * [progress]: [ 50 / 94 ] simplifiying candidate # 79.403 * [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)))) 79.403 * * [simplify]: iters left: 6 (15 enodes) 79.407 * * [simplify]: iters left: 5 (59 enodes) 79.417 * * [simplify]: iters left: 4 (112 enodes) 79.460 * * [simplify]: iters left: 3 (365 enodes) 79.761 * * [simplify]: Extracting #0: cost 1 inf + 0 79.761 * * [simplify]: Extracting #1: cost 4 inf + 0 79.761 * * [simplify]: Extracting #2: cost 7 inf + 0 79.761 * * [simplify]: Extracting #3: cost 10 inf + 0 79.761 * * [simplify]: Extracting #4: cost 122 inf + 1 79.764 * * [simplify]: Extracting #5: cost 241 inf + 89 79.767 * * [simplify]: Extracting #6: cost 203 inf + 3666 79.775 * * [simplify]: Extracting #7: cost 128 inf + 17960 79.791 * * [simplify]: Extracting #8: cost 13 inf + 45848 79.805 * * [simplify]: Extracting #9: cost 0 inf + 48961 79.829 * [simplify]: Simplified to (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) 79.829 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (* (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (sqrt (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J)))) 79.830 * * * * [progress]: [ 51 / 94 ] simplifiying candidate # 79.830 * [simplify]: Simplifying (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) 79.830 * * [simplify]: iters left: 6 (14 enodes) 79.837 * * [simplify]: iters left: 5 (55 enodes) 79.851 * * [simplify]: iters left: 4 (108 enodes) 79.882 * * [simplify]: iters left: 3 (363 enodes) 80.098 * * [simplify]: Extracting #0: cost 1 inf + 0 80.099 * * [simplify]: Extracting #1: cost 3 inf + 0 80.099 * * [simplify]: Extracting #2: cost 5 inf + 0 80.099 * * [simplify]: Extracting #3: cost 8 inf + 0 80.099 * * [simplify]: Extracting #4: cost 123 inf + 1 80.100 * * [simplify]: Extracting #5: cost 234 inf + 420 80.103 * * [simplify]: Extracting #6: cost 203 inf + 3175 80.112 * * [simplify]: Extracting #7: cost 127 inf + 18949 80.125 * * [simplify]: Extracting #8: cost 7 inf + 46860 80.142 * * [simplify]: Extracting #9: cost 0 inf + 48232 80.159 * [simplify]: Simplified to (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 80.159 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (* (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J)))) 80.159 * * * * [progress]: [ 52 / 94 ] simplifiying candidate # 80.159 * [simplify]: Simplifying (sqrt 1) 80.159 * * [simplify]: iters left: 1 (2 enodes) 80.161 * * [simplify]: Extracting #0: cost 1 inf + 0 80.161 * * [simplify]: Extracting #1: cost 0 inf + 1 80.161 * [simplify]: Simplified to 1 80.161 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (* 1 (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J)))) 80.162 * * * * [progress]: [ 53 / 94 ] simplifiying candidate # 80.162 * [simplify]: Simplifying (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3))) 80.162 * * [simplify]: iters left: 6 (16 enodes) 80.167 * * [simplify]: iters left: 5 (70 enodes) 80.184 * * [simplify]: iters left: 4 (176 enodes) 80.280 * * [simplify]: Extracting #0: cost 1 inf + 0 80.280 * * [simplify]: Extracting #1: cost 3 inf + 0 80.280 * * [simplify]: Extracting #2: cost 6 inf + 0 80.281 * * [simplify]: Extracting #3: cost 103 inf + 1 80.281 * * [simplify]: Extracting #4: cost 306 inf + 6 80.283 * * [simplify]: Extracting #5: cost 338 inf + 1810 80.292 * * [simplify]: Extracting #6: cost 242 inf + 27932 80.310 * * [simplify]: Extracting #7: cost 28 inf + 100762 80.345 * * [simplify]: Extracting #8: cost 0 inf + 110036 80.390 * [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))))))) 80.390 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (/ (sqrt (+ 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J)))) 80.391 * * * * [progress]: [ 54 / 94 ] simplifiying candidate # 80.391 * [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))) 80.391 * * [simplify]: iters left: 6 (15 enodes) 80.400 * * [simplify]: iters left: 5 (62 enodes) 80.412 * * [simplify]: iters left: 4 (150 enodes) 80.511 * * [simplify]: Extracting #0: cost 1 inf + 0 80.511 * * [simplify]: Extracting #1: cost 3 inf + 0 80.512 * * [simplify]: Extracting #2: cost 9 inf + 0 80.512 * * [simplify]: Extracting #3: cost 105 inf + 2 80.513 * * [simplify]: Extracting #4: cost 286 inf + 6 80.514 * * [simplify]: Extracting #5: cost 280 inf + 1923 80.518 * * [simplify]: Extracting #6: cost 191 inf + 25190 80.534 * * [simplify]: Extracting #7: cost 26 inf + 76271 80.569 * * [simplify]: Extracting #8: cost 0 inf + 85028 80.605 * [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)) 80.605 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (/ (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J)))) 80.606 * * * * [progress]: [ 55 / 94 ] simplifiying candidate # 80.606 * [simplify]: Simplifying (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 80.606 * * [simplify]: iters left: 6 (12 enodes) 80.613 * * [simplify]: iters left: 5 (49 enodes) 80.634 * * [simplify]: iters left: 4 (102 enodes) 80.678 * * [simplify]: iters left: 3 (356 enodes) 80.896 * * [simplify]: Extracting #0: cost 1 inf + 0 80.896 * * [simplify]: Extracting #1: cost 4 inf + 0 80.896 * * [simplify]: Extracting #2: cost 116 inf + 1 80.898 * * [simplify]: Extracting #3: cost 234 inf + 254 80.902 * * [simplify]: Extracting #4: cost 192 inf + 4198 80.911 * * [simplify]: Extracting #5: cost 121 inf + 19235 80.937 * * [simplify]: Extracting #6: cost 5 inf + 46310 80.969 * * [simplify]: Extracting #7: cost 0 inf + 47117 80.994 * * [simplify]: Extracting #8: cost 0 inf + 46998 81.009 * [simplify]: Simplified to (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 81.009 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (pow (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (/ 1 2)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J)))) 81.009 * * * * [progress]: [ 56 / 94 ] simplifiying candidate # 81.009 * * * * [progress]: [ 57 / 94 ] simplifiying candidate # 81.009 * [simplify]: Simplifying (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 81.010 * * [simplify]: iters left: 6 (13 enodes) 81.013 * * [simplify]: iters left: 5 (52 enodes) 81.023 * * [simplify]: iters left: 4 (105 enodes) 81.057 * * [simplify]: iters left: 3 (359 enodes) 81.320 * * [simplify]: Extracting #0: cost 1 inf + 0 81.320 * * [simplify]: Extracting #1: cost 3 inf + 0 81.320 * * [simplify]: Extracting #2: cost 6 inf + 0 81.321 * * [simplify]: Extracting #3: cost 118 inf + 1 81.323 * * [simplify]: Extracting #4: cost 235 inf + 336 81.326 * * [simplify]: Extracting #5: cost 193 inf + 4402 81.334 * * [simplify]: Extracting #6: cost 119 inf + 19348 81.350 * * [simplify]: Extracting #7: cost 7 inf + 46040 81.364 * * [simplify]: Extracting #8: cost 0 inf + 47488 81.378 * [simplify]: Simplified to (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 81.378 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (fabs (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J)))) 81.378 * * * * [progress]: [ 58 / 94 ] simplifiying candidate # 81.379 * * * * [progress]: [ 59 / 94 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J))))> 81.379 * * * * [progress]: [ 60 / 94 ] simplifiying candidate # 81.379 * * * * [progress]: [ 61 / 94 ] simplifiying candidate # 81.379 * * * * [progress]: [ 62 / 94 ] simplifiying candidate # 81.379 * * * * [progress]: [ 63 / 94 ] simplifiying candidate # 81.379 * * * * [progress]: [ 64 / 94 ] simplifiying candidate # 81.379 * [simplify]: Simplifying (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) 81.379 * * [simplify]: iters left: 6 (7 enodes) 81.381 * * [simplify]: iters left: 5 (21 enodes) 81.384 * * [simplify]: Extracting #0: cost 1 inf + 0 81.384 * * [simplify]: Extracting #1: cost 3 inf + 0 81.384 * * [simplify]: Extracting #2: cost 5 inf + 0 81.384 * * [simplify]: Extracting #3: cost 7 inf + 0 81.384 * * [simplify]: Extracting #4: cost 9 inf + 0 81.384 * * [simplify]: Extracting #5: cost 12 inf + 0 81.384 * * [simplify]: Extracting #6: cost 10 inf + 2 81.384 * * [simplify]: Extracting #7: cost 1 inf + 1400 81.387 * * [simplify]: Extracting #8: cost 0 inf + 1702 81.387 * [simplify]: Simplified to (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) 81.387 * [simplify]: Simplified (2 2 1 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J)))) 81.387 * * * * [progress]: [ 65 / 94 ] simplifiying candidate # 81.387 * * * * [progress]: [ 66 / 94 ] simplifiying candidate # 81.387 * * * * [progress]: [ 67 / 94 ] simplifiying candidate # 81.387 * [simplify]: Simplifying (cos (/ K 2)) 81.387 * * [simplify]: iters left: 3 (4 enodes) 81.389 * * [simplify]: iters left: 2 (12 enodes) 81.390 * * [simplify]: Extracting #0: cost 1 inf + 0 81.390 * * [simplify]: Extracting #1: cost 3 inf + 0 81.390 * * [simplify]: Extracting #2: cost 6 inf + 0 81.391 * * [simplify]: Extracting #3: cost 4 inf + 2 81.391 * * [simplify]: Extracting #4: cost 0 inf + 290 81.391 * [simplify]: Simplified to (cos (/ K 2)) 81.391 * [simplify]: Simplified (2 2 1 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) 81.391 * * * * [progress]: [ 68 / 94 ] simplifiying candidate # 81.391 * * * * [progress]: [ 69 / 94 ] simplifiying candidate # 81.391 * * * * [progress]: [ 70 / 94 ] simplifiying candidate #real (real->posit16 (cbrt (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))))))) (* (cbrt (cos (/ K 2))) J))))> 81.391 * * * * [progress]: [ 71 / 94 ] simplifiying candidate # 81.391 * * * * [progress]: [ 72 / 94 ] simplifiying candidate # 81.391 * * * * [progress]: [ 73 / 94 ] simplifiying candidate # 81.391 * * * * [progress]: [ 74 / 94 ] simplifiying candidate # 81.391 * * * * [progress]: [ 75 / 94 ] simplifiying candidate # 81.391 * [simplify]: Simplifying (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) 81.391 * * [simplify]: iters left: 6 (7 enodes) 81.393 * * [simplify]: iters left: 5 (21 enodes) 81.397 * * [simplify]: Extracting #0: cost 1 inf + 0 81.397 * * [simplify]: Extracting #1: cost 3 inf + 0 81.397 * * [simplify]: Extracting #2: cost 5 inf + 0 81.397 * * [simplify]: Extracting #3: cost 7 inf + 0 81.397 * * [simplify]: Extracting #4: cost 9 inf + 0 81.397 * * [simplify]: Extracting #5: cost 12 inf + 0 81.397 * * [simplify]: Extracting #6: cost 10 inf + 2 81.398 * * [simplify]: Extracting #7: cost 1 inf + 1400 81.398 * * [simplify]: Extracting #8: cost 0 inf + 1702 81.399 * [simplify]: Simplified to (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) 81.399 * [simplify]: Simplified (2 2 2 1 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))))) (* (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))) J)))) 81.399 * * * * [progress]: [ 76 / 94 ] simplifiying candidate # 81.399 * [simplify]: Simplifying (cbrt (sqrt (cos (/ K 2)))) 81.399 * * [simplify]: iters left: 5 (6 enodes) 81.402 * * [simplify]: iters left: 4 (18 enodes) 81.408 * * [simplify]: Extracting #0: cost 1 inf + 0 81.408 * * [simplify]: Extracting #1: cost 3 inf + 0 81.408 * * [simplify]: Extracting #2: cost 5 inf + 0 81.408 * * [simplify]: Extracting #3: cost 7 inf + 0 81.408 * * [simplify]: Extracting #4: cost 10 inf + 0 81.408 * * [simplify]: Extracting #5: cost 8 inf + 2 81.408 * * [simplify]: Extracting #6: cost 0 inf + 1018 81.408 * [simplify]: Simplified to (cbrt (sqrt (cos (/ K 2)))) 81.409 * [simplify]: Simplified (2 2 2 1 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))))) (* (* (cbrt (sqrt (cos (/ K 2)))) (cbrt (sqrt (cos (/ K 2))))) J)))) 81.409 * * * * [progress]: [ 77 / 94 ] simplifiying candidate # 81.409 * [simplify]: Simplifying (cbrt 1) 81.409 * * [simplify]: iters left: 1 (2 enodes) 81.413 * * [simplify]: Extracting #0: cost 1 inf + 0 81.413 * * [simplify]: Extracting #1: cost 0 inf + 1 81.413 * [simplify]: Simplified to 1 81.413 * [simplify]: Simplified (2 2 2 1 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))))) (* (* 1 (cbrt (cos (/ K 2)))) J)))) 81.413 * * * * [progress]: [ 78 / 94 ] simplifiying candidate # 81.413 * * * * [progress]: [ 79 / 94 ] simplifiying candidate # 81.413 * * * * [progress]: [ 80 / 94 ] simplifiying candidate # 81.413 * * * * [progress]: [ 81 / 94 ] simplifiying candidate # 81.413 * * * * [progress]: [ 82 / 94 ] simplifiying candidate #real (real->posit16 (cbrt (cos (/ K 2))))) J))))> 81.413 * * * * [progress]: [ 83 / 94 ] simplifiying candidate # 81.414 * [simplify]: Simplifying (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 81.414 * * [simplify]: iters left: 6 (10 enodes) 81.420 * * [simplify]: iters left: 5 (43 enodes) 81.429 * * [simplify]: iters left: 4 (79 enodes) 81.441 * * [simplify]: iters left: 3 (118 enodes) 81.461 * * [simplify]: iters left: 2 (171 enodes) 81.506 * * [simplify]: iters left: 1 (242 enodes) 81.549 * * [simplify]: Extracting #0: cost 1 inf + 0 81.550 * * [simplify]: Extracting #1: cost 6 inf + 0 81.550 * * [simplify]: Extracting #2: cost 41 inf + 0 81.550 * * [simplify]: Extracting #3: cost 56 inf + 213 81.551 * * [simplify]: Extracting #4: cost 20 inf + 2732 81.552 * * [simplify]: Extracting #5: cost 1 inf + 4576 81.554 * * [simplify]: Extracting #6: cost 0 inf + 4698 81.555 * [simplify]: Simplified to (- (* -2 J) (/ (* U U) (/ J 1/4))) 81.555 * [simplify]: Simplified (2) to (λ (J K U) (- (* -2 J) (/ (* U U) (/ J 1/4)))) 81.555 * * * * [progress]: [ 84 / 94 ] simplifiying candidate # 81.555 * [simplify]: Simplifying (* -1 U) 81.555 * * [simplify]: iters left: 2 (3 enodes) 81.558 * * [simplify]: iters left: 1 (11 enodes) 81.561 * * [simplify]: Extracting #0: cost 1 inf + 0 81.561 * * [simplify]: Extracting #1: cost 4 inf + 0 81.561 * * [simplify]: Extracting #2: cost 0 inf + 84 81.561 * [simplify]: Simplified to (- U) 81.561 * [simplify]: Simplified (2) to (λ (J K U) (- U)) 81.561 * * * * [progress]: [ 85 / 94 ] simplifiying candidate # 81.562 * [simplify]: Simplifying (* -1 U) 81.562 * * [simplify]: iters left: 2 (3 enodes) 81.563 * * [simplify]: iters left: 1 (11 enodes) 81.567 * * [simplify]: Extracting #0: cost 1 inf + 0 81.567 * * [simplify]: Extracting #1: cost 4 inf + 0 81.567 * * [simplify]: Extracting #2: cost 0 inf + 84 81.567 * [simplify]: Simplified to (- U) 81.567 * [simplify]: Simplified (2) to (λ (J K U) (- U)) 81.567 * * * * [progress]: [ 86 / 94 ] simplifiying candidate # 81.568 * [simplify]: Simplifying 1 81.568 * * [simplify]: iters left: 0 (1 enodes) 81.569 * * [simplify]: Extracting #0: cost 1 inf + 0 81.569 * * [simplify]: Extracting #1: cost 0 inf + 1 81.569 * [simplify]: Simplified to 1 81.569 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* 1 -2) (* (* (cbrt (cos (/ K 2))) (cbrt (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J)))) 81.569 * * * * [progress]: [ 87 / 94 ] simplifiying candidate # 81.569 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 81.569 * * [simplify]: iters left: 6 (9 enodes) 81.574 * * [simplify]: iters left: 5 (34 enodes) 81.584 * * [simplify]: iters left: 4 (56 enodes) 81.601 * * [simplify]: iters left: 3 (90 enodes) 81.627 * * [simplify]: iters left: 2 (114 enodes) 81.658 * * [simplify]: iters left: 1 (131 enodes) 81.694 * * [simplify]: Extracting #0: cost 1 inf + 0 81.694 * * [simplify]: Extracting #1: cost 22 inf + 0 81.695 * * [simplify]: Extracting #2: cost 37 inf + 3 81.695 * * [simplify]: Extracting #3: cost 31 inf + 380 81.696 * * [simplify]: Extracting #4: cost 17 inf + 1834 81.699 * * [simplify]: Extracting #5: cost 3 inf + 4117 81.702 * * [simplify]: Extracting #6: cost 0 inf + 4586 81.704 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 81.704 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J)))) 81.704 * * * * [progress]: [ 88 / 94 ] simplifiying candidate # 81.704 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 81.704 * * [simplify]: iters left: 6 (9 enodes) 81.709 * * [simplify]: iters left: 5 (34 enodes) 81.716 * * [simplify]: iters left: 4 (56 enodes) 81.724 * * [simplify]: iters left: 3 (90 enodes) 81.738 * * [simplify]: iters left: 2 (114 enodes) 81.758 * * [simplify]: iters left: 1 (131 enodes) 81.794 * * [simplify]: Extracting #0: cost 1 inf + 0 81.794 * * [simplify]: Extracting #1: cost 22 inf + 0 81.794 * * [simplify]: Extracting #2: cost 37 inf + 3 81.795 * * [simplify]: Extracting #3: cost 31 inf + 380 81.796 * * [simplify]: Extracting #4: cost 17 inf + 1834 81.798 * * [simplify]: Extracting #5: cost 3 inf + 4117 81.801 * * [simplify]: Extracting #6: cost 0 inf + 4586 81.803 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 81.803 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J)))) 81.804 * * * * [progress]: [ 89 / 94 ] simplifiying candidate # 81.804 * [simplify]: Simplifying (- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2)))) 81.804 * * [simplify]: iters left: 6 (12 enodes) 81.813 * * [simplify]: iters left: 5 (52 enodes) 81.830 * * [simplify]: iters left: 4 (73 enodes) 81.853 * * [simplify]: iters left: 3 (117 enodes) 81.872 * * [simplify]: iters left: 2 (156 enodes) 81.905 * * [simplify]: iters left: 1 (207 enodes) 81.947 * * [simplify]: Extracting #0: cost 1 inf + 0 81.947 * * [simplify]: Extracting #1: cost 18 inf + 0 81.947 * * [simplify]: Extracting #2: cost 39 inf + 2 81.947 * * [simplify]: Extracting #3: cost 43 inf + 213 81.949 * * [simplify]: Extracting #4: cost 14 inf + 3555 81.952 * * [simplify]: Extracting #5: cost 0 inf + 5789 81.955 * [simplify]: Simplified to (- (* (* (* K K) (* K K)) -1/1152) (- (* 1/24 (* K K)) 1)) 81.956 * [simplify]: Simplified (2 2 1 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (- (* (* (* K K) (* K K)) -1/1152) (- (* 1/24 (* K K)) 1))) (* (cbrt (cos (/ K 2))) J)))) 81.956 * * * * [progress]: [ 90 / 94 ] simplifiying candidate # 81.957 * [simplify]: Simplifying (pow (cos (* 1/2 K)) 1/3) 81.957 * * [simplify]: iters left: 4 (6 enodes) 81.961 * * [simplify]: iters left: 3 (25 enodes) 81.970 * * [simplify]: iters left: 2 (39 enodes) 81.986 * * [simplify]: iters left: 1 (69 enodes) 82.009 * * [simplify]: Extracting #0: cost 1 inf + 0 82.009 * * [simplify]: Extracting #1: cost 9 inf + 0 82.009 * * [simplify]: Extracting #2: cost 23 inf + 1 82.009 * * [simplify]: Extracting #3: cost 23 inf + 5 82.009 * * [simplify]: Extracting #4: cost 20 inf + 8 82.010 * * [simplify]: Extracting #5: cost 9 inf + 2778 82.010 * * [simplify]: Extracting #6: cost 0 inf + 6930 82.011 * [simplify]: Simplified to (cbrt (cos (* 1/2 K))) 82.011 * [simplify]: Simplified (2 2 1 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (* 1/2 K)))) (* (cbrt (cos (/ K 2))) J)))) 82.011 * * * * [progress]: [ 91 / 94 ] simplifiying candidate # 82.011 * [simplify]: Simplifying (pow (cos (* 1/2 K)) 1/3) 82.011 * * [simplify]: iters left: 4 (6 enodes) 82.013 * * [simplify]: iters left: 3 (25 enodes) 82.020 * * [simplify]: iters left: 2 (39 enodes) 82.029 * * [simplify]: iters left: 1 (69 enodes) 82.043 * * [simplify]: Extracting #0: cost 1 inf + 0 82.043 * * [simplify]: Extracting #1: cost 9 inf + 0 82.043 * * [simplify]: Extracting #2: cost 23 inf + 1 82.044 * * [simplify]: Extracting #3: cost 23 inf + 5 82.044 * * [simplify]: Extracting #4: cost 20 inf + 8 82.044 * * [simplify]: Extracting #5: cost 9 inf + 2778 82.045 * * [simplify]: Extracting #6: cost 0 inf + 6930 82.047 * [simplify]: Simplified to (cbrt (cos (* 1/2 K))) 82.047 * [simplify]: Simplified (2 2 1 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (* 1/2 K)))) (* (cbrt (cos (/ K 2))) J)))) 82.047 * * * * [progress]: [ 92 / 94 ] simplifiying candidate # 82.047 * [simplify]: Simplifying (- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2)))) 82.047 * * [simplify]: iters left: 6 (12 enodes) 82.056 * * [simplify]: iters left: 5 (52 enodes) 82.071 * * [simplify]: iters left: 4 (73 enodes) 82.083 * * [simplify]: iters left: 3 (117 enodes) 82.109 * * [simplify]: iters left: 2 (156 enodes) 82.139 * * [simplify]: iters left: 1 (207 enodes) 82.190 * * [simplify]: Extracting #0: cost 1 inf + 0 82.191 * * [simplify]: Extracting #1: cost 18 inf + 0 82.191 * * [simplify]: Extracting #2: cost 39 inf + 2 82.191 * * [simplify]: Extracting #3: cost 43 inf + 213 82.193 * * [simplify]: Extracting #4: cost 14 inf + 3555 82.196 * * [simplify]: Extracting #5: cost 0 inf + 5789 82.199 * [simplify]: Simplified to (- (* (* (* K K) (* K K)) -1/1152) (- (* 1/24 (* K K)) 1)) 82.200 * [simplify]: Simplified (2 2 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))))) (* (- (* (* (* K K) (* K K)) -1/1152) (- (* 1/24 (* K K)) 1)) J)))) 82.200 * * * * [progress]: [ 93 / 94 ] simplifiying candidate # 82.200 * [simplify]: Simplifying (pow (cos (* 1/2 K)) 1/3) 82.200 * * [simplify]: iters left: 4 (6 enodes) 82.202 * * [simplify]: iters left: 3 (25 enodes) 82.207 * * [simplify]: iters left: 2 (39 enodes) 82.215 * * [simplify]: iters left: 1 (69 enodes) 82.230 * * [simplify]: Extracting #0: cost 1 inf + 0 82.230 * * [simplify]: Extracting #1: cost 9 inf + 0 82.230 * * [simplify]: Extracting #2: cost 23 inf + 1 82.230 * * [simplify]: Extracting #3: cost 23 inf + 5 82.230 * * [simplify]: Extracting #4: cost 20 inf + 8 82.231 * * [simplify]: Extracting #5: cost 9 inf + 2778 82.231 * * [simplify]: Extracting #6: cost 0 inf + 6930 82.232 * [simplify]: Simplified to (cbrt (cos (* 1/2 K))) 82.232 * [simplify]: Simplified (2 2 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))))) (* (cbrt (cos (* 1/2 K))) J)))) 82.233 * * * * [progress]: [ 94 / 94 ] simplifiying candidate # 82.233 * [simplify]: Simplifying (pow (cos (* 1/2 K)) 1/3) 82.233 * * [simplify]: iters left: 4 (6 enodes) 82.237 * * [simplify]: iters left: 3 (25 enodes) 82.246 * * [simplify]: iters left: 2 (39 enodes) 82.262 * * [simplify]: iters left: 1 (69 enodes) 82.286 * * [simplify]: Extracting #0: cost 1 inf + 0 82.286 * * [simplify]: Extracting #1: cost 9 inf + 0 82.286 * * [simplify]: Extracting #2: cost 23 inf + 1 82.286 * * [simplify]: Extracting #3: cost 23 inf + 5 82.286 * * [simplify]: Extracting #4: cost 20 inf + 8 82.286 * * [simplify]: Extracting #5: cost 9 inf + 2778 82.287 * * [simplify]: Extracting #6: cost 0 inf + 6930 82.288 * [simplify]: Simplified to (cbrt (cos (* 1/2 K))) 82.288 * [simplify]: Simplified (2 2 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))))) (* (cbrt (cos (* 1/2 K))) J)))) 82.288 * * * [progress]: adding candidates to table 83.759 * * [progress]: iteration 4 / 4 83.759 * * * [progress]: picking best candidate 83.810 * * * * [pick]: Picked # 83.810 * * * [progress]: localizing error 83.883 * * * [progress]: generating rewritten candidates 83.883 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 84.585 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 84.765 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1) 84.769 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 84.772 * * * [progress]: generating series expansions 84.772 * * * * [progress]: [ 1 / 4 ] generating series at (2) 84.773 * [backup-simplify]: Simplify (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J))) into (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) 84.773 * [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 84.773 * [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 84.773 * [taylor]: Taking taylor expansion of -2 in J 84.773 * [backup-simplify]: Simplify -2 into -2 84.773 * [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 84.773 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 84.773 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 84.773 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 84.773 * [taylor]: Taking taylor expansion of 1/2 in J 84.773 * [backup-simplify]: Simplify 1/2 into 1/2 84.773 * [taylor]: Taking taylor expansion of K in J 84.773 * [backup-simplify]: Simplify K into K 84.773 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 84.773 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 84.773 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 84.773 * [taylor]: Taking taylor expansion of J in J 84.773 * [backup-simplify]: Simplify 0 into 0 84.773 * [backup-simplify]: Simplify 1 into 1 84.773 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 84.773 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 84.773 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 84.773 * [taylor]: Taking taylor expansion of 1/4 in J 84.774 * [backup-simplify]: Simplify 1/4 into 1/4 84.774 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 84.774 * [taylor]: Taking taylor expansion of (pow U 2) in J 84.774 * [taylor]: Taking taylor expansion of U in J 84.774 * [backup-simplify]: Simplify U into U 84.774 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 84.774 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 84.774 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 84.774 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 84.774 * [taylor]: Taking taylor expansion of 1/2 in J 84.774 * [backup-simplify]: Simplify 1/2 into 1/2 84.774 * [taylor]: Taking taylor expansion of K in J 84.774 * [backup-simplify]: Simplify K into K 84.774 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 84.774 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 84.774 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 84.774 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 84.774 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 84.774 * [backup-simplify]: Simplify (- 0) into 0 84.774 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 84.775 * [taylor]: Taking taylor expansion of (pow J 2) in J 84.775 * [taylor]: Taking taylor expansion of J in J 84.775 * [backup-simplify]: Simplify 0 into 0 84.775 * [backup-simplify]: Simplify 1 into 1 84.775 * [backup-simplify]: Simplify (* U U) into (pow U 2) 84.775 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 84.775 * [backup-simplify]: Simplify (* 1 1) into 1 84.775 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 84.775 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 84.775 * [taylor]: Taking taylor expansion of 1 in J 84.775 * [backup-simplify]: Simplify 1 into 1 84.775 * [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))) 84.775 * [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))) 84.776 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 84.776 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 84.776 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 84.776 * [backup-simplify]: Simplify (+ 0) into 0 84.777 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 84.777 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 84.778 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 84.778 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 84.778 * [backup-simplify]: Simplify (- 0) into 0 84.778 * [backup-simplify]: Simplify (+ 0 0) into 0 84.778 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 84.779 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 84.779 * [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 84.779 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 84.780 * [backup-simplify]: Simplify (+ 0 0) into 0 84.780 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 84.780 * [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 84.780 * [taylor]: Taking taylor expansion of -2 in K 84.780 * [backup-simplify]: Simplify -2 into -2 84.780 * [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 84.780 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 84.780 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 84.780 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 84.780 * [taylor]: Taking taylor expansion of 1/2 in K 84.780 * [backup-simplify]: Simplify 1/2 into 1/2 84.780 * [taylor]: Taking taylor expansion of K in K 84.780 * [backup-simplify]: Simplify 0 into 0 84.780 * [backup-simplify]: Simplify 1 into 1 84.780 * [backup-simplify]: Simplify (* 1/2 0) into 0 84.781 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 84.781 * [taylor]: Taking taylor expansion of J in K 84.781 * [backup-simplify]: Simplify J into J 84.781 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 84.781 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 84.781 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 84.781 * [taylor]: Taking taylor expansion of 1/4 in K 84.781 * [backup-simplify]: Simplify 1/4 into 1/4 84.781 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 84.781 * [taylor]: Taking taylor expansion of (pow U 2) in K 84.781 * [taylor]: Taking taylor expansion of U in K 84.781 * [backup-simplify]: Simplify U into U 84.781 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 84.781 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 84.781 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 84.781 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 84.781 * [taylor]: Taking taylor expansion of 1/2 in K 84.781 * [backup-simplify]: Simplify 1/2 into 1/2 84.781 * [taylor]: Taking taylor expansion of K in K 84.781 * [backup-simplify]: Simplify 0 into 0 84.781 * [backup-simplify]: Simplify 1 into 1 84.781 * [backup-simplify]: Simplify (* 1/2 0) into 0 84.782 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 84.782 * [taylor]: Taking taylor expansion of (pow J 2) in K 84.782 * [taylor]: Taking taylor expansion of J in K 84.782 * [backup-simplify]: Simplify J into J 84.782 * [backup-simplify]: Simplify (* U U) into (pow U 2) 84.782 * [backup-simplify]: Simplify (* 1 1) into 1 84.782 * [backup-simplify]: Simplify (* J J) into (pow J 2) 84.782 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 84.782 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 84.782 * [taylor]: Taking taylor expansion of 1 in K 84.782 * [backup-simplify]: Simplify 1 into 1 84.783 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 84.783 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 84.783 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 84.783 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 84.783 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 84.783 * [backup-simplify]: Simplify (+ 0) into 0 84.784 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 84.784 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 84.784 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 84.785 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 84.785 * [backup-simplify]: Simplify (+ 0 0) into 0 84.786 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 84.786 * [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 84.786 * [taylor]: Taking taylor expansion of -2 in U 84.786 * [backup-simplify]: Simplify -2 into -2 84.786 * [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 84.786 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 84.786 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 84.786 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 84.786 * [taylor]: Taking taylor expansion of 1/2 in U 84.786 * [backup-simplify]: Simplify 1/2 into 1/2 84.786 * [taylor]: Taking taylor expansion of K in U 84.786 * [backup-simplify]: Simplify K into K 84.786 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 84.786 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 84.786 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 84.786 * [taylor]: Taking taylor expansion of J in U 84.786 * [backup-simplify]: Simplify J into J 84.786 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 84.786 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 84.786 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 84.786 * [taylor]: Taking taylor expansion of 1/4 in U 84.786 * [backup-simplify]: Simplify 1/4 into 1/4 84.786 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 84.786 * [taylor]: Taking taylor expansion of (pow U 2) in U 84.786 * [taylor]: Taking taylor expansion of U in U 84.787 * [backup-simplify]: Simplify 0 into 0 84.787 * [backup-simplify]: Simplify 1 into 1 84.787 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 84.787 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 84.787 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 84.787 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 84.787 * [taylor]: Taking taylor expansion of 1/2 in U 84.787 * [backup-simplify]: Simplify 1/2 into 1/2 84.787 * [taylor]: Taking taylor expansion of K in U 84.787 * [backup-simplify]: Simplify K into K 84.787 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 84.787 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 84.787 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 84.787 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 84.787 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 84.788 * [backup-simplify]: Simplify (- 0) into 0 84.788 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 84.788 * [taylor]: Taking taylor expansion of (pow J 2) in U 84.788 * [taylor]: Taking taylor expansion of J in U 84.788 * [backup-simplify]: Simplify J into J 84.788 * [backup-simplify]: Simplify (* 1 1) into 1 84.788 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 84.788 * [backup-simplify]: Simplify (* J J) into (pow J 2) 84.788 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 84.789 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 84.789 * [taylor]: Taking taylor expansion of 1 in U 84.789 * [backup-simplify]: Simplify 1 into 1 84.789 * [backup-simplify]: Simplify (+ 0 1) into 1 84.790 * [backup-simplify]: Simplify (sqrt 1) into 1 84.790 * [backup-simplify]: Simplify (+ 0 0) into 0 84.791 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 84.791 * [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 84.791 * [taylor]: Taking taylor expansion of -2 in U 84.791 * [backup-simplify]: Simplify -2 into -2 84.791 * [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 84.791 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 84.791 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 84.791 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 84.791 * [taylor]: Taking taylor expansion of 1/2 in U 84.791 * [backup-simplify]: Simplify 1/2 into 1/2 84.791 * [taylor]: Taking taylor expansion of K in U 84.791 * [backup-simplify]: Simplify K into K 84.791 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 84.791 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 84.791 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 84.791 * [taylor]: Taking taylor expansion of J in U 84.791 * [backup-simplify]: Simplify J into J 84.791 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 84.791 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 84.791 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 84.791 * [taylor]: Taking taylor expansion of 1/4 in U 84.791 * [backup-simplify]: Simplify 1/4 into 1/4 84.791 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 84.791 * [taylor]: Taking taylor expansion of (pow U 2) in U 84.792 * [taylor]: Taking taylor expansion of U in U 84.792 * [backup-simplify]: Simplify 0 into 0 84.792 * [backup-simplify]: Simplify 1 into 1 84.792 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 84.792 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 84.792 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 84.792 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 84.792 * [taylor]: Taking taylor expansion of 1/2 in U 84.792 * [backup-simplify]: Simplify 1/2 into 1/2 84.792 * [taylor]: Taking taylor expansion of K in U 84.792 * [backup-simplify]: Simplify K into K 84.792 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 84.792 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 84.792 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 84.792 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 84.792 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 84.793 * [backup-simplify]: Simplify (- 0) into 0 84.793 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 84.793 * [taylor]: Taking taylor expansion of (pow J 2) in U 84.793 * [taylor]: Taking taylor expansion of J in U 84.793 * [backup-simplify]: Simplify J into J 84.793 * [backup-simplify]: Simplify (* 1 1) into 1 84.794 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 84.794 * [backup-simplify]: Simplify (* J J) into (pow J 2) 84.794 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 84.794 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 84.794 * [taylor]: Taking taylor expansion of 1 in U 84.794 * [backup-simplify]: Simplify 1 into 1 84.795 * [backup-simplify]: Simplify (+ 0 1) into 1 84.795 * [backup-simplify]: Simplify (sqrt 1) into 1 84.795 * [backup-simplify]: Simplify (+ 0 0) into 0 84.796 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 84.796 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 84.796 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 84.797 * [backup-simplify]: Simplify (- 0) into 0 84.797 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 84.797 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 84.797 * [backup-simplify]: Simplify (* (* (cos (* 1/2 K)) J) 1) into (* (cos (* 1/2 K)) J) 84.797 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J)) 84.797 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in K 84.797 * [taylor]: Taking taylor expansion of -2 in K 84.797 * [backup-simplify]: Simplify -2 into -2 84.797 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 84.797 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 84.797 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 84.797 * [taylor]: Taking taylor expansion of 1/2 in K 84.797 * [backup-simplify]: Simplify 1/2 into 1/2 84.797 * [taylor]: Taking taylor expansion of K in K 84.797 * [backup-simplify]: Simplify 0 into 0 84.797 * [backup-simplify]: Simplify 1 into 1 84.798 * [backup-simplify]: Simplify (* 1/2 0) into 0 84.798 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 84.799 * [taylor]: Taking taylor expansion of J in K 84.799 * [backup-simplify]: Simplify J into J 84.799 * [backup-simplify]: Simplify (* 1 J) into J 84.799 * [backup-simplify]: Simplify (* -2 J) into (* -2 J) 84.799 * [taylor]: Taking taylor expansion of (* -2 J) in J 84.799 * [taylor]: Taking taylor expansion of -2 in J 84.799 * [backup-simplify]: Simplify -2 into -2 84.799 * [taylor]: Taking taylor expansion of J in J 84.799 * [backup-simplify]: Simplify 0 into 0 84.799 * [backup-simplify]: Simplify 1 into 1 84.799 * [backup-simplify]: Simplify (+ 0) into 0 84.800 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 84.800 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 84.801 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 84.801 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 84.802 * [backup-simplify]: Simplify (- 0) into 0 84.802 * [backup-simplify]: Simplify (+ 0 0) into 0 84.802 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 84.803 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (* 0 1)) into 0 84.803 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0 84.803 * [taylor]: Taking taylor expansion of 0 in K 84.803 * [backup-simplify]: Simplify 0 into 0 84.803 * [taylor]: Taking taylor expansion of 0 in J 84.803 * [backup-simplify]: Simplify 0 into 0 84.804 * [backup-simplify]: Simplify (+ 0) into 0 84.804 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 84.805 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 J)) into 0 84.805 * [taylor]: Taking taylor expansion of 0 in J 84.805 * [backup-simplify]: Simplify 0 into 0 84.805 * [backup-simplify]: Simplify (* -2 0) into 0 84.806 * [backup-simplify]: Simplify 0 into 0 84.806 * [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))) 84.806 * [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)))) 84.807 * [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))) 84.809 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 84.809 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 84.810 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 84.811 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 84.812 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 84.812 * [backup-simplify]: Simplify (- 0) into 0 84.812 * [backup-simplify]: Simplify (+ 0 0) into 0 84.813 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0 84.814 * [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))) 84.814 * [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)))) 84.814 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in K 84.814 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in K 84.814 * [taylor]: Taking taylor expansion of 1/4 in K 84.814 * [backup-simplify]: Simplify 1/4 into 1/4 84.814 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in K 84.815 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 84.815 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 84.815 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 84.815 * [taylor]: Taking taylor expansion of 1/2 in K 84.815 * [backup-simplify]: Simplify 1/2 into 1/2 84.815 * [taylor]: Taking taylor expansion of K in K 84.815 * [backup-simplify]: Simplify 0 into 0 84.815 * [backup-simplify]: Simplify 1 into 1 84.815 * [backup-simplify]: Simplify (* 1/2 0) into 0 84.816 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 84.816 * [taylor]: Taking taylor expansion of J in K 84.816 * [backup-simplify]: Simplify J into J 84.816 * [backup-simplify]: Simplify (* 1 J) into J 84.816 * [backup-simplify]: Simplify (/ 1 J) into (/ 1 J) 84.816 * [backup-simplify]: Simplify (* 1/4 (/ 1 J)) into (/ 1/4 J) 84.816 * [backup-simplify]: Simplify (- (/ 1/4 J)) into (- (* 1/4 (/ 1 J))) 84.816 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 J))) in J 84.816 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 J)) in J 84.816 * [taylor]: Taking taylor expansion of 1/4 in J 84.816 * [backup-simplify]: Simplify 1/4 into 1/4 84.816 * [taylor]: Taking taylor expansion of (/ 1 J) in J 84.816 * [taylor]: Taking taylor expansion of J in J 84.816 * [backup-simplify]: Simplify 0 into 0 84.816 * [backup-simplify]: Simplify 1 into 1 84.817 * [backup-simplify]: Simplify (/ 1 1) into 1 84.817 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 84.818 * [backup-simplify]: Simplify (- 1/4) into -1/4 84.818 * [backup-simplify]: Simplify -1/4 into -1/4 84.818 * [taylor]: Taking taylor expansion of 0 in J 84.818 * [backup-simplify]: Simplify 0 into 0 84.819 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 84.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J)) 84.820 * [backup-simplify]: Simplify (+ (* -2 (- (* 1/8 J))) (+ (* 0 0) (* 0 J))) into (* 1/4 J) 84.820 * [taylor]: Taking taylor expansion of (* 1/4 J) in J 84.820 * [taylor]: Taking taylor expansion of 1/4 in J 84.820 * [backup-simplify]: Simplify 1/4 into 1/4 84.820 * [taylor]: Taking taylor expansion of J in J 84.820 * [backup-simplify]: Simplify 0 into 0 84.820 * [backup-simplify]: Simplify 1 into 1 84.820 * [backup-simplify]: Simplify 0 into 0 84.820 * [backup-simplify]: Simplify 0 into 0 84.821 * [backup-simplify]: Simplify (+ (* -2 1) (* 0 0)) into -2 84.821 * [backup-simplify]: Simplify -2 into -2 84.822 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 84.822 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 84.822 * [backup-simplify]: Simplify (+ 0) into 0 84.823 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 84.823 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 84.824 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 84.824 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 84.825 * [backup-simplify]: Simplify (- 0) into 0 84.825 * [backup-simplify]: Simplify (+ 0 0) into 0 84.825 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 84.825 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 84.826 * [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 84.827 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 84.827 * [backup-simplify]: Simplify (+ 0 0) into 0 84.828 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 84.829 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 84.829 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 84.831 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 84.832 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 84.833 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 84.833 * [backup-simplify]: Simplify (- 0) into 0 84.834 * [backup-simplify]: Simplify (+ 0 0) into 0 84.834 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 84.835 * [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 84.836 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0 84.836 * [taylor]: Taking taylor expansion of 0 in K 84.836 * [backup-simplify]: Simplify 0 into 0 84.836 * [taylor]: Taking taylor expansion of 0 in J 84.837 * [backup-simplify]: Simplify 0 into 0 84.837 * [backup-simplify]: Simplify (+ 0) into 0 84.837 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 84.837 * [backup-simplify]: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 84.838 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 J))) into 0 84.838 * [backup-simplify]: Simplify (- 0) into 0 84.838 * [taylor]: Taking taylor expansion of 0 in J 84.838 * [backup-simplify]: Simplify 0 into 0 84.838 * [taylor]: Taking taylor expansion of 0 in J 84.838 * [backup-simplify]: Simplify 0 into 0 84.840 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 84.841 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 84.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0 84.843 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (- (* 1/8 J))) (+ (* 0 0) (* 0 J)))) into 0 84.843 * [taylor]: Taking taylor expansion of 0 in J 84.843 * [backup-simplify]: Simplify 0 into 0 84.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 84.845 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 84.845 * [backup-simplify]: Simplify (- 0) into 0 84.845 * [backup-simplify]: Simplify 0 into 0 84.845 * [backup-simplify]: Simplify 0 into 0 84.845 * [backup-simplify]: Simplify (* 1/4 0) into 0 84.845 * [backup-simplify]: Simplify 0 into 0 84.846 * [backup-simplify]: Simplify 0 into 0 84.846 * [backup-simplify]: Simplify 0 into 0 84.847 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0 84.847 * [backup-simplify]: Simplify 0 into 0 84.847 * [backup-simplify]: Simplify (+ (* -2 (* J (* 1 1))) (* -1/4 (* (/ 1 J) (* 1 (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 84.849 * [backup-simplify]: Simplify (* (* (sqrt (+ (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) 1)) -2) (* (* (cbrt (cos (/ (/ 1 K) 2))) (* (cbrt (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2))))) (cbrt (cbrt (cos (/ (/ 1 K) 2)))))) (* (cbrt (cos (/ (/ 1 K) 2))) (/ 1 J)))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) 84.849 * [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 84.849 * [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 84.849 * [taylor]: Taking taylor expansion of -2 in J 84.849 * [backup-simplify]: Simplify -2 into -2 84.849 * [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 84.849 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 84.849 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 84.849 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 84.849 * [taylor]: Taking taylor expansion of 1/4 in J 84.849 * [backup-simplify]: Simplify 1/4 into 1/4 84.849 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 84.849 * [taylor]: Taking taylor expansion of (pow J 2) in J 84.849 * [taylor]: Taking taylor expansion of J in J 84.849 * [backup-simplify]: Simplify 0 into 0 84.849 * [backup-simplify]: Simplify 1 into 1 84.849 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 84.849 * [taylor]: Taking taylor expansion of (pow U 2) in J 84.849 * [taylor]: Taking taylor expansion of U in J 84.849 * [backup-simplify]: Simplify U into U 84.849 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 84.849 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 84.849 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 84.849 * [taylor]: Taking taylor expansion of 1/2 in J 84.849 * [backup-simplify]: Simplify 1/2 into 1/2 84.849 * [taylor]: Taking taylor expansion of K in J 84.849 * [backup-simplify]: Simplify K into K 84.849 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 84.849 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 84.849 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 84.850 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 84.850 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 84.850 * [backup-simplify]: Simplify (- 0) into 0 84.850 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 84.851 * [backup-simplify]: Simplify (* 1 1) into 1 84.851 * [backup-simplify]: Simplify (* U U) into (pow U 2) 84.851 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 84.851 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 84.851 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 84.851 * [taylor]: Taking taylor expansion of 1 in J 84.851 * [backup-simplify]: Simplify 1 into 1 84.852 * [backup-simplify]: Simplify (+ 0 1) into 1 84.852 * [backup-simplify]: Simplify (sqrt 1) into 1 84.852 * [backup-simplify]: Simplify (+ 0 0) into 0 84.853 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 84.853 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 84.853 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 84.853 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 84.853 * [taylor]: Taking taylor expansion of 1/2 in J 84.853 * [backup-simplify]: Simplify 1/2 into 1/2 84.853 * [taylor]: Taking taylor expansion of K in J 84.853 * [backup-simplify]: Simplify K into K 84.853 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 84.854 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 84.854 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 84.854 * [taylor]: Taking taylor expansion of J in J 84.854 * [backup-simplify]: Simplify 0 into 0 84.854 * [backup-simplify]: Simplify 1 into 1 84.854 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 84.854 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 84.854 * [backup-simplify]: Simplify (- 0) into 0 84.854 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 84.854 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 84.854 * [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 84.854 * [taylor]: Taking taylor expansion of -2 in K 84.855 * [backup-simplify]: Simplify -2 into -2 84.855 * [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 84.855 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 84.855 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 84.855 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 84.855 * [taylor]: Taking taylor expansion of 1/4 in K 84.855 * [backup-simplify]: Simplify 1/4 into 1/4 84.855 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 84.855 * [taylor]: Taking taylor expansion of (pow J 2) in K 84.855 * [taylor]: Taking taylor expansion of J in K 84.855 * [backup-simplify]: Simplify J into J 84.855 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 84.855 * [taylor]: Taking taylor expansion of (pow U 2) in K 84.855 * [taylor]: Taking taylor expansion of U in K 84.855 * [backup-simplify]: Simplify U into U 84.855 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 84.855 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 84.855 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 84.855 * [taylor]: Taking taylor expansion of 1/2 in K 84.855 * [backup-simplify]: Simplify 1/2 into 1/2 84.855 * [taylor]: Taking taylor expansion of K in K 84.855 * [backup-simplify]: Simplify 0 into 0 84.855 * [backup-simplify]: Simplify 1 into 1 84.856 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 84.856 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 84.856 * [backup-simplify]: Simplify (* J J) into (pow J 2) 84.856 * [backup-simplify]: Simplify (* U U) into (pow U 2) 84.856 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 84.856 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 84.856 * [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))) 84.856 * [taylor]: Taking taylor expansion of 1 in K 84.856 * [backup-simplify]: Simplify 1 into 1 84.857 * [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)))) 84.857 * [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) 84.857 * [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)) 84.857 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 84.858 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 84.858 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 84.858 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 84.858 * [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 84.859 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 84.860 * [backup-simplify]: Simplify (+ 0 0) into 0 84.860 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 84.860 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 84.860 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 84.860 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 84.860 * [taylor]: Taking taylor expansion of 1/2 in K 84.860 * [backup-simplify]: Simplify 1/2 into 1/2 84.860 * [taylor]: Taking taylor expansion of K in K 84.860 * [backup-simplify]: Simplify 0 into 0 84.860 * [backup-simplify]: Simplify 1 into 1 84.861 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 84.861 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 84.861 * [taylor]: Taking taylor expansion of J in K 84.861 * [backup-simplify]: Simplify J into J 84.861 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 84.861 * [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 84.861 * [taylor]: Taking taylor expansion of -2 in U 84.861 * [backup-simplify]: Simplify -2 into -2 84.861 * [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 84.861 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 84.861 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 84.861 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 84.861 * [taylor]: Taking taylor expansion of 1/4 in U 84.861 * [backup-simplify]: Simplify 1/4 into 1/4 84.861 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 84.861 * [taylor]: Taking taylor expansion of (pow J 2) in U 84.861 * [taylor]: Taking taylor expansion of J in U 84.861 * [backup-simplify]: Simplify J into J 84.861 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 84.862 * [taylor]: Taking taylor expansion of (pow U 2) in U 84.862 * [taylor]: Taking taylor expansion of U in U 84.862 * [backup-simplify]: Simplify 0 into 0 84.862 * [backup-simplify]: Simplify 1 into 1 84.862 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 84.862 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 84.862 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 84.862 * [taylor]: Taking taylor expansion of 1/2 in U 84.862 * [backup-simplify]: Simplify 1/2 into 1/2 84.862 * [taylor]: Taking taylor expansion of K in U 84.862 * [backup-simplify]: Simplify K into K 84.862 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 84.862 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 84.862 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 84.862 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 84.862 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 84.863 * [backup-simplify]: Simplify (- 0) into 0 84.863 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 84.863 * [backup-simplify]: Simplify (* J J) into (pow J 2) 84.863 * [backup-simplify]: Simplify (* 1 1) into 1 84.863 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 84.864 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 84.864 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 84.864 * [taylor]: Taking taylor expansion of 1 in U 84.864 * [backup-simplify]: Simplify 1 into 1 84.864 * [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))) 84.864 * [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))) 84.865 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 84.865 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 84.865 * [backup-simplify]: Simplify (+ 0) into 0 84.866 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 84.866 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 84.867 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 84.867 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 84.867 * [backup-simplify]: Simplify (- 0) into 0 84.868 * [backup-simplify]: Simplify (+ 0 0) into 0 84.868 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 84.869 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 84.870 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 84.870 * [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 84.871 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 84.871 * [backup-simplify]: Simplify (+ 0 0) into 0 84.871 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 84.871 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 84.871 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 84.871 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 84.871 * [taylor]: Taking taylor expansion of 1/2 in U 84.871 * [backup-simplify]: Simplify 1/2 into 1/2 84.871 * [taylor]: Taking taylor expansion of K in U 84.871 * [backup-simplify]: Simplify K into K 84.872 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 84.872 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 84.872 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 84.872 * [taylor]: Taking taylor expansion of J in U 84.872 * [backup-simplify]: Simplify J into J 84.872 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 84.872 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 84.872 * [backup-simplify]: Simplify (- 0) into 0 84.872 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 84.872 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 84.872 * [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 84.873 * [taylor]: Taking taylor expansion of -2 in U 84.873 * [backup-simplify]: Simplify -2 into -2 84.873 * [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 84.873 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 84.873 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 84.873 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 84.873 * [taylor]: Taking taylor expansion of 1/4 in U 84.873 * [backup-simplify]: Simplify 1/4 into 1/4 84.873 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 84.873 * [taylor]: Taking taylor expansion of (pow J 2) in U 84.873 * [taylor]: Taking taylor expansion of J in U 84.873 * [backup-simplify]: Simplify J into J 84.873 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 84.873 * [taylor]: Taking taylor expansion of (pow U 2) in U 84.873 * [taylor]: Taking taylor expansion of U in U 84.873 * [backup-simplify]: Simplify 0 into 0 84.873 * [backup-simplify]: Simplify 1 into 1 84.873 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 84.873 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 84.873 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 84.873 * [taylor]: Taking taylor expansion of 1/2 in U 84.873 * [backup-simplify]: Simplify 1/2 into 1/2 84.873 * [taylor]: Taking taylor expansion of K in U 84.873 * [backup-simplify]: Simplify K into K 84.873 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 84.873 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 84.873 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 84.873 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 84.874 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 84.874 * [backup-simplify]: Simplify (- 0) into 0 84.874 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 84.874 * [backup-simplify]: Simplify (* J J) into (pow J 2) 84.874 * [backup-simplify]: Simplify (* 1 1) into 1 84.875 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 84.875 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 84.875 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 84.875 * [taylor]: Taking taylor expansion of 1 in U 84.875 * [backup-simplify]: Simplify 1 into 1 84.875 * [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))) 84.875 * [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))) 84.876 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 84.876 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 84.876 * [backup-simplify]: Simplify (+ 0) into 0 84.877 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 84.877 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 84.878 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 84.878 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 84.879 * [backup-simplify]: Simplify (- 0) into 0 84.879 * [backup-simplify]: Simplify (+ 0 0) into 0 84.879 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 84.880 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 84.880 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 84.881 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 84.881 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 84.882 * [backup-simplify]: Simplify (+ 0 0) into 0 84.882 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 84.882 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 84.882 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 84.882 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 84.882 * [taylor]: Taking taylor expansion of 1/2 in U 84.882 * [backup-simplify]: Simplify 1/2 into 1/2 84.882 * [taylor]: Taking taylor expansion of K in U 84.882 * [backup-simplify]: Simplify K into K 84.882 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 84.882 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 84.882 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 84.882 * [taylor]: Taking taylor expansion of J in U 84.882 * [backup-simplify]: Simplify J into J 84.882 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 84.883 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 84.883 * [backup-simplify]: Simplify (- 0) into 0 84.883 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 84.883 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 84.883 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ (cos (/ 1/2 K)) J)) into 1/2 84.884 * [backup-simplify]: Simplify (* -2 1/2) into -1 84.884 * [taylor]: Taking taylor expansion of -1 in K 84.884 * [backup-simplify]: Simplify -1 into -1 84.884 * [taylor]: Taking taylor expansion of -1 in J 84.884 * [backup-simplify]: Simplify -1 into -1 84.885 * [backup-simplify]: Simplify (+ 0) into 0 84.885 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 84.885 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 84.886 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 84.886 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 84.887 * [backup-simplify]: Simplify (- 0) into 0 84.887 * [backup-simplify]: Simplify (+ 0 0) into 0 84.888 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 84.888 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (/ (cos (/ 1/2 K)) J))) into 0 84.889 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0 84.889 * [taylor]: Taking taylor expansion of 0 in K 84.889 * [backup-simplify]: Simplify 0 into 0 84.889 * [taylor]: Taking taylor expansion of 0 in J 84.889 * [backup-simplify]: Simplify 0 into 0 84.889 * [taylor]: Taking taylor expansion of 0 in J 84.889 * [backup-simplify]: Simplify 0 into 0 84.889 * [backup-simplify]: Simplify -1 into -1 84.890 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 84.893 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 84.894 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 84.895 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 84.895 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 84.896 * [backup-simplify]: Simplify (- 0) into 0 84.896 * [backup-simplify]: Simplify (+ 0 0) into 0 84.896 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 84.897 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 84.898 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 84.899 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 84.899 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 84.900 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 84.900 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 84.901 * [backup-simplify]: Simplify (- 0) into 0 84.901 * [backup-simplify]: Simplify (+ 0 0) into 0 84.901 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 84.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 84.903 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 84.904 * [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 84.905 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 84.905 * [backup-simplify]: Simplify (+ 0 1) into 1 84.906 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 84.907 * [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)) 84.908 * [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)))) 84.908 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in K 84.908 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in K 84.908 * [taylor]: Taking taylor expansion of 2 in K 84.908 * [backup-simplify]: Simplify 2 into 2 84.908 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in K 84.908 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 84.908 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 84.908 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 84.908 * [taylor]: Taking taylor expansion of 1/2 in K 84.908 * [backup-simplify]: Simplify 1/2 into 1/2 84.908 * [taylor]: Taking taylor expansion of K in K 84.908 * [backup-simplify]: Simplify 0 into 0 84.908 * [backup-simplify]: Simplify 1 into 1 84.908 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 84.909 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 84.909 * [taylor]: Taking taylor expansion of (pow J 2) in K 84.909 * [taylor]: Taking taylor expansion of J in K 84.909 * [backup-simplify]: Simplify J into J 84.909 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 84.909 * [backup-simplify]: Simplify (* J J) into (pow J 2) 84.909 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 84.909 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) into (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 84.910 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) 84.910 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J 84.910 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J 84.910 * [taylor]: Taking taylor expansion of 2 in J 84.910 * [backup-simplify]: Simplify 2 into 2 84.910 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J 84.910 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 84.910 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 84.910 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 84.910 * [taylor]: Taking taylor expansion of 1/2 in J 84.910 * [backup-simplify]: Simplify 1/2 into 1/2 84.910 * [taylor]: Taking taylor expansion of K in J 84.910 * [backup-simplify]: Simplify K into K 84.910 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 84.910 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 84.910 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 84.910 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 84.910 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 84.911 * [backup-simplify]: Simplify (- 0) into 0 84.911 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 84.911 * [taylor]: Taking taylor expansion of (pow J 2) in J 84.911 * [taylor]: Taking taylor expansion of J in J 84.911 * [backup-simplify]: Simplify 0 into 0 84.911 * [backup-simplify]: Simplify 1 into 1 84.911 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 84.911 * [backup-simplify]: Simplify (* 1 1) into 1 84.912 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 84.912 * [backup-simplify]: Simplify (+ 0) into 0 84.912 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 84.913 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 84.913 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 84.914 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 84.914 * [backup-simplify]: Simplify (- 0) into 0 84.915 * [backup-simplify]: Simplify (+ 0 0) into 0 84.915 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 84.915 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 84.916 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 84.917 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 84.917 * [backup-simplify]: Simplify (- 0) into 0 84.917 * [backup-simplify]: Simplify 0 into 0 84.917 * [taylor]: Taking taylor expansion of 0 in J 84.917 * [backup-simplify]: Simplify 0 into 0 84.917 * [taylor]: Taking taylor expansion of 0 in J 84.917 * [backup-simplify]: Simplify 0 into 0 84.917 * [backup-simplify]: Simplify 0 into 0 84.917 * [backup-simplify]: Simplify 0 into 0 84.918 * [backup-simplify]: Simplify 0 into 0 84.919 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 84.920 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 84.920 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 84.921 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 84.922 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 84.923 * [backup-simplify]: Simplify (- 0) into 0 84.923 * [backup-simplify]: Simplify (+ 0 0) into 0 84.923 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 84.924 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 84.925 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 84.926 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 84.926 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 84.927 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 84.928 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 84.929 * [backup-simplify]: Simplify (- 0) into 0 84.929 * [backup-simplify]: Simplify (+ 0 0) into 0 84.930 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 84.931 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 84.933 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 84.933 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 84.934 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 84.935 * [backup-simplify]: Simplify (+ 0 0) into 0 84.935 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 84.936 * [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 84.937 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 84.937 * [taylor]: Taking taylor expansion of 0 in K 84.937 * [backup-simplify]: Simplify 0 into 0 84.937 * [taylor]: Taking taylor expansion of 0 in J 84.937 * [backup-simplify]: Simplify 0 into 0 84.937 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 84.938 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 84.938 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 84.938 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) into 0 84.939 * [backup-simplify]: Simplify (- 0) into 0 84.939 * [taylor]: Taking taylor expansion of 0 in J 84.939 * [backup-simplify]: Simplify 0 into 0 84.939 * [taylor]: Taking taylor expansion of 0 in J 84.939 * [backup-simplify]: Simplify 0 into 0 84.939 * [taylor]: Taking taylor expansion of 0 in J 84.939 * [backup-simplify]: Simplify 0 into 0 84.940 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 84.941 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 84.941 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 84.942 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 84.942 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 84.942 * [backup-simplify]: Simplify (- 0) into 0 84.943 * [backup-simplify]: Simplify (+ 0 0) into 0 84.943 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 84.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 84.946 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 84.947 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 84.947 * [backup-simplify]: Simplify (- 0) into 0 84.947 * [backup-simplify]: Simplify 0 into 0 84.947 * [backup-simplify]: Simplify 0 into 0 84.947 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U) 84.949 * [backup-simplify]: Simplify (* (* (sqrt (+ (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) 1)) -2) (* (* (cbrt (cos (/ (/ 1 (- K)) 2))) (* (cbrt (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2))))) (cbrt (cbrt (cos (/ (/ 1 (- K)) 2)))))) (* (cbrt (cos (/ (/ 1 (- K)) 2))) (/ 1 (- J))))) into (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) 84.949 * [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 84.949 * [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 84.949 * [taylor]: Taking taylor expansion of 2 in J 84.949 * [backup-simplify]: Simplify 2 into 2 84.949 * [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 84.949 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 84.949 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 84.949 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 84.949 * [taylor]: Taking taylor expansion of -1/2 in J 84.949 * [backup-simplify]: Simplify -1/2 into -1/2 84.949 * [taylor]: Taking taylor expansion of K in J 84.949 * [backup-simplify]: Simplify K into K 84.949 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 84.949 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 84.949 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 84.949 * [taylor]: Taking taylor expansion of J in J 84.949 * [backup-simplify]: Simplify 0 into 0 84.949 * [backup-simplify]: Simplify 1 into 1 84.949 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 84.949 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 84.950 * [backup-simplify]: Simplify (- 0) into 0 84.950 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 84.950 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 84.950 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 84.950 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 84.950 * [taylor]: Taking taylor expansion of 1 in J 84.950 * [backup-simplify]: Simplify 1 into 1 84.950 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 84.950 * [taylor]: Taking taylor expansion of 1/4 in J 84.950 * [backup-simplify]: Simplify 1/4 into 1/4 84.950 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 84.950 * [taylor]: Taking taylor expansion of (pow J 2) in J 84.950 * [taylor]: Taking taylor expansion of J in J 84.950 * [backup-simplify]: Simplify 0 into 0 84.950 * [backup-simplify]: Simplify 1 into 1 84.950 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 84.950 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 84.951 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 84.951 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 84.951 * [taylor]: Taking taylor expansion of -1/2 in J 84.951 * [backup-simplify]: Simplify -1/2 into -1/2 84.951 * [taylor]: Taking taylor expansion of K in J 84.951 * [backup-simplify]: Simplify K into K 84.951 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 84.951 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 84.951 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 84.951 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 84.951 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 84.951 * [backup-simplify]: Simplify (- 0) into 0 84.952 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 84.952 * [taylor]: Taking taylor expansion of (pow U 2) in J 84.952 * [taylor]: Taking taylor expansion of U in J 84.952 * [backup-simplify]: Simplify U into U 84.952 * [backup-simplify]: Simplify (* 1 1) into 1 84.952 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 84.952 * [backup-simplify]: Simplify (* U U) into (pow U 2) 84.952 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 84.953 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 84.953 * [backup-simplify]: Simplify (+ 1 0) into 1 84.953 * [backup-simplify]: Simplify (sqrt 1) into 1 84.954 * [backup-simplify]: Simplify (+ 0 0) into 0 84.954 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 84.955 * [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 84.955 * [taylor]: Taking taylor expansion of 2 in K 84.955 * [backup-simplify]: Simplify 2 into 2 84.955 * [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 84.955 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 84.955 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 84.955 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 84.955 * [taylor]: Taking taylor expansion of -1/2 in K 84.955 * [backup-simplify]: Simplify -1/2 into -1/2 84.955 * [taylor]: Taking taylor expansion of K in K 84.955 * [backup-simplify]: Simplify 0 into 0 84.955 * [backup-simplify]: Simplify 1 into 1 84.955 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 84.955 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 84.955 * [taylor]: Taking taylor expansion of J in K 84.955 * [backup-simplify]: Simplify J into J 84.956 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 84.956 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 84.956 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 84.956 * [taylor]: Taking taylor expansion of 1 in K 84.956 * [backup-simplify]: Simplify 1 into 1 84.956 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 84.956 * [taylor]: Taking taylor expansion of 1/4 in K 84.956 * [backup-simplify]: Simplify 1/4 into 1/4 84.956 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 84.956 * [taylor]: Taking taylor expansion of (pow J 2) in K 84.956 * [taylor]: Taking taylor expansion of J in K 84.956 * [backup-simplify]: Simplify J into J 84.956 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 84.956 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 84.956 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 84.956 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 84.956 * [taylor]: Taking taylor expansion of -1/2 in K 84.956 * [backup-simplify]: Simplify -1/2 into -1/2 84.956 * [taylor]: Taking taylor expansion of K in K 84.956 * [backup-simplify]: Simplify 0 into 0 84.956 * [backup-simplify]: Simplify 1 into 1 84.957 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 84.957 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 84.957 * [taylor]: Taking taylor expansion of (pow U 2) in K 84.957 * [taylor]: Taking taylor expansion of U in K 84.957 * [backup-simplify]: Simplify U into U 84.957 * [backup-simplify]: Simplify (* J J) into (pow J 2) 84.957 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 84.957 * [backup-simplify]: Simplify (* U U) into (pow U 2) 84.957 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 84.957 * [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))) 84.958 * [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)))) 84.958 * [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))))) 84.958 * [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)))))) 84.959 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 84.959 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 84.959 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 84.959 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 84.960 * [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 84.960 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 84.961 * [backup-simplify]: Simplify (+ 0 0) into 0 84.961 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 84.961 * [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 84.961 * [taylor]: Taking taylor expansion of 2 in U 84.961 * [backup-simplify]: Simplify 2 into 2 84.961 * [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 84.961 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 84.962 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 84.962 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 84.962 * [taylor]: Taking taylor expansion of -1/2 in U 84.962 * [backup-simplify]: Simplify -1/2 into -1/2 84.962 * [taylor]: Taking taylor expansion of K in U 84.962 * [backup-simplify]: Simplify K into K 84.962 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 84.962 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 84.962 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 84.962 * [taylor]: Taking taylor expansion of J in U 84.962 * [backup-simplify]: Simplify J into J 84.962 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 84.962 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 84.962 * [backup-simplify]: Simplify (- 0) into 0 84.962 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 84.963 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 84.963 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 84.963 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 84.963 * [taylor]: Taking taylor expansion of 1 in U 84.963 * [backup-simplify]: Simplify 1 into 1 84.963 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 84.963 * [taylor]: Taking taylor expansion of 1/4 in U 84.963 * [backup-simplify]: Simplify 1/4 into 1/4 84.963 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 84.963 * [taylor]: Taking taylor expansion of (pow J 2) in U 84.963 * [taylor]: Taking taylor expansion of J in U 84.963 * [backup-simplify]: Simplify J into J 84.963 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 84.963 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 84.963 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 84.963 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 84.963 * [taylor]: Taking taylor expansion of -1/2 in U 84.963 * [backup-simplify]: Simplify -1/2 into -1/2 84.963 * [taylor]: Taking taylor expansion of K in U 84.963 * [backup-simplify]: Simplify K into K 84.963 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 84.963 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 84.963 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 84.963 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 84.963 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 84.964 * [backup-simplify]: Simplify (- 0) into 0 84.964 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 84.964 * [taylor]: Taking taylor expansion of (pow U 2) in U 84.964 * [taylor]: Taking taylor expansion of U in U 84.964 * [backup-simplify]: Simplify 0 into 0 84.964 * [backup-simplify]: Simplify 1 into 1 84.964 * [backup-simplify]: Simplify (* J J) into (pow J 2) 84.964 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 84.965 * [backup-simplify]: Simplify (* 1 1) into 1 84.965 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 84.965 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 84.965 * [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))) 84.965 * [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))) 84.966 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 84.966 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 84.966 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 84.967 * [backup-simplify]: Simplify (+ 0) into 0 84.967 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 84.967 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 84.968 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 84.969 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 84.969 * [backup-simplify]: Simplify (- 0) into 0 84.969 * [backup-simplify]: Simplify (+ 0 0) into 0 84.970 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 84.970 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 84.971 * [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 84.971 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 84.972 * [backup-simplify]: Simplify (+ 0 0) into 0 84.972 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 84.972 * [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 84.972 * [taylor]: Taking taylor expansion of 2 in U 84.972 * [backup-simplify]: Simplify 2 into 2 84.972 * [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 84.972 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 84.972 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 84.972 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 84.972 * [taylor]: Taking taylor expansion of -1/2 in U 84.972 * [backup-simplify]: Simplify -1/2 into -1/2 84.972 * [taylor]: Taking taylor expansion of K in U 84.972 * [backup-simplify]: Simplify K into K 84.972 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 84.972 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 84.973 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 84.973 * [taylor]: Taking taylor expansion of J in U 84.973 * [backup-simplify]: Simplify J into J 84.973 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 84.973 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 84.973 * [backup-simplify]: Simplify (- 0) into 0 84.974 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 84.974 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 84.974 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 84.974 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 84.974 * [taylor]: Taking taylor expansion of 1 in U 84.974 * [backup-simplify]: Simplify 1 into 1 84.974 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 84.974 * [taylor]: Taking taylor expansion of 1/4 in U 84.974 * [backup-simplify]: Simplify 1/4 into 1/4 84.974 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 84.974 * [taylor]: Taking taylor expansion of (pow J 2) in U 84.974 * [taylor]: Taking taylor expansion of J in U 84.974 * [backup-simplify]: Simplify J into J 84.974 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 84.974 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 84.974 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 84.974 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 84.974 * [taylor]: Taking taylor expansion of -1/2 in U 84.974 * [backup-simplify]: Simplify -1/2 into -1/2 84.974 * [taylor]: Taking taylor expansion of K in U 84.974 * [backup-simplify]: Simplify K into K 84.974 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 84.974 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 84.974 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 84.975 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 84.975 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 84.975 * [backup-simplify]: Simplify (- 0) into 0 84.976 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 84.976 * [taylor]: Taking taylor expansion of (pow U 2) in U 84.976 * [taylor]: Taking taylor expansion of U in U 84.976 * [backup-simplify]: Simplify 0 into 0 84.976 * [backup-simplify]: Simplify 1 into 1 84.976 * [backup-simplify]: Simplify (* J J) into (pow J 2) 84.976 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 84.976 * [backup-simplify]: Simplify (* 1 1) into 1 84.976 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 84.977 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 84.977 * [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))) 84.977 * [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))) 84.977 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 84.977 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 84.978 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 84.979 * [backup-simplify]: Simplify (+ 0) into 0 84.979 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 84.979 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 84.980 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 84.980 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 84.980 * [backup-simplify]: Simplify (- 0) into 0 84.981 * [backup-simplify]: Simplify (+ 0 0) into 0 84.981 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 84.981 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 84.981 * [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 84.982 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 84.982 * [backup-simplify]: Simplify (+ 0 0) into 0 84.982 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 84.982 * [backup-simplify]: Simplify (* (/ (cos (/ -1/2 K)) J) (* 1/2 (/ J (cos (/ -1/2 K))))) into 1/2 84.983 * [backup-simplify]: Simplify (* 2 1/2) into 1 84.983 * [taylor]: Taking taylor expansion of 1 in K 84.983 * [backup-simplify]: Simplify 1 into 1 84.983 * [taylor]: Taking taylor expansion of 1 in J 84.983 * [backup-simplify]: Simplify 1 into 1 84.983 * [backup-simplify]: Simplify (+ 0) into 0 84.983 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 84.983 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 84.984 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 84.984 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 84.984 * [backup-simplify]: Simplify (- 0) into 0 84.985 * [backup-simplify]: Simplify (+ 0 0) into 0 84.985 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0 84.985 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 84.985 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0 84.985 * [taylor]: Taking taylor expansion of 0 in K 84.985 * [backup-simplify]: Simplify 0 into 0 84.985 * [taylor]: Taking taylor expansion of 0 in J 84.985 * [backup-simplify]: Simplify 0 into 0 84.985 * [taylor]: Taking taylor expansion of 0 in J 84.985 * [backup-simplify]: Simplify 0 into 0 84.985 * [backup-simplify]: Simplify 1 into 1 84.986 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 84.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 84.987 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 84.987 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 84.987 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 84.988 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 84.988 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 84.988 * [backup-simplify]: Simplify (- 0) into 0 84.988 * [backup-simplify]: Simplify (+ 0 0) into 0 84.989 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 84.990 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 84.990 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 84.990 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 84.991 * [backup-simplify]: Simplify (+ 1 0) into 1 84.991 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 84.992 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 84.992 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 84.992 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 84.993 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 84.993 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 84.993 * [backup-simplify]: Simplify (- 0) into 0 84.994 * [backup-simplify]: Simplify (+ 0 0) into 0 84.994 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 84.994 * [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)) 84.995 * [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))) 84.995 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in K 84.995 * [taylor]: Taking taylor expansion of 2 in K 84.995 * [backup-simplify]: Simplify 2 into 2 84.995 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in K 84.995 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 84.995 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 84.995 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 84.995 * [taylor]: Taking taylor expansion of -1/2 in K 84.995 * [backup-simplify]: Simplify -1/2 into -1/2 84.995 * [taylor]: Taking taylor expansion of K in K 84.995 * [backup-simplify]: Simplify 0 into 0 84.995 * [backup-simplify]: Simplify 1 into 1 84.995 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 84.995 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 84.995 * [taylor]: Taking taylor expansion of (pow J 2) in K 84.995 * [taylor]: Taking taylor expansion of J in K 84.995 * [backup-simplify]: Simplify J into J 84.995 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 84.995 * [backup-simplify]: Simplify (* J J) into (pow J 2) 84.995 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 84.996 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 84.996 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J 84.996 * [taylor]: Taking taylor expansion of 2 in J 84.996 * [backup-simplify]: Simplify 2 into 2 84.996 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J 84.996 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 84.996 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 84.996 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 84.996 * [taylor]: Taking taylor expansion of -1/2 in J 84.996 * [backup-simplify]: Simplify -1/2 into -1/2 84.996 * [taylor]: Taking taylor expansion of K in J 84.996 * [backup-simplify]: Simplify K into K 84.996 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 84.996 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 84.996 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 84.996 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 84.996 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 84.996 * [backup-simplify]: Simplify (- 0) into 0 84.996 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 84.996 * [taylor]: Taking taylor expansion of (pow J 2) in J 84.996 * [taylor]: Taking taylor expansion of J in J 84.996 * [backup-simplify]: Simplify 0 into 0 84.996 * [backup-simplify]: Simplify 1 into 1 84.996 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 84.997 * [backup-simplify]: Simplify (* 1 1) into 1 84.997 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 84.997 * [backup-simplify]: Simplify (+ 0) into 0 84.997 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 84.997 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 84.998 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 84.998 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 84.998 * [backup-simplify]: Simplify (- 0) into 0 84.999 * [backup-simplify]: Simplify (+ 0 0) into 0 84.999 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 84.999 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 85.000 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 85.000 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 85.000 * [backup-simplify]: Simplify 0 into 0 85.001 * [taylor]: Taking taylor expansion of 0 in J 85.001 * [backup-simplify]: Simplify 0 into 0 85.001 * [taylor]: Taking taylor expansion of 0 in J 85.001 * [backup-simplify]: Simplify 0 into 0 85.001 * [backup-simplify]: Simplify 0 into 0 85.001 * [backup-simplify]: Simplify 0 into 0 85.001 * [backup-simplify]: Simplify 0 into 0 85.001 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 85.003 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 85.004 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 85.004 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 85.005 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 85.006 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 85.007 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 85.007 * [backup-simplify]: Simplify (- 0) into 0 85.008 * [backup-simplify]: Simplify (+ 0 0) into 0 85.008 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 85.009 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 85.010 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 85.012 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 85.012 * [backup-simplify]: Simplify (+ 0 0) into 0 85.012 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 85.013 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 85.014 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 85.014 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 85.016 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 85.017 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 85.017 * [backup-simplify]: Simplify (- 0) into 0 85.017 * [backup-simplify]: Simplify (+ 0 0) into 0 85.018 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 85.018 * [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 85.019 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 85.020 * [taylor]: Taking taylor expansion of 0 in K 85.020 * [backup-simplify]: Simplify 0 into 0 85.020 * [taylor]: Taking taylor expansion of 0 in J 85.020 * [backup-simplify]: Simplify 0 into 0 85.020 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 85.020 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 85.020 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 85.021 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) into 0 85.021 * [taylor]: Taking taylor expansion of 0 in J 85.021 * [backup-simplify]: Simplify 0 into 0 85.021 * [taylor]: Taking taylor expansion of 0 in J 85.021 * [backup-simplify]: Simplify 0 into 0 85.021 * [taylor]: Taking taylor expansion of 0 in J 85.021 * [backup-simplify]: Simplify 0 into 0 85.022 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 85.023 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 85.023 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 85.024 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 85.024 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 85.024 * [backup-simplify]: Simplify (- 0) into 0 85.024 * [backup-simplify]: Simplify (+ 0 0) into 0 85.025 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 85.025 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 85.028 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 85.028 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0 85.028 * [backup-simplify]: Simplify 0 into 0 85.028 * [backup-simplify]: Simplify 0 into 0 85.028 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U) 85.028 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 85.029 * [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)) 85.029 * [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 85.029 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 85.029 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 85.029 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 85.029 * [taylor]: Taking taylor expansion of 1/4 in J 85.029 * [backup-simplify]: Simplify 1/4 into 1/4 85.029 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 85.029 * [taylor]: Taking taylor expansion of (pow U 2) in J 85.029 * [taylor]: Taking taylor expansion of U in J 85.029 * [backup-simplify]: Simplify U into U 85.029 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 85.029 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 85.029 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 85.029 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 85.029 * [taylor]: Taking taylor expansion of 1/2 in J 85.029 * [backup-simplify]: Simplify 1/2 into 1/2 85.029 * [taylor]: Taking taylor expansion of K in J 85.029 * [backup-simplify]: Simplify K into K 85.029 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 85.029 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 85.029 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 85.029 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 85.029 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 85.029 * [backup-simplify]: Simplify (- 0) into 0 85.030 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 85.030 * [taylor]: Taking taylor expansion of (pow J 2) in J 85.030 * [taylor]: Taking taylor expansion of J in J 85.030 * [backup-simplify]: Simplify 0 into 0 85.030 * [backup-simplify]: Simplify 1 into 1 85.030 * [backup-simplify]: Simplify (* U U) into (pow U 2) 85.030 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 85.030 * [backup-simplify]: Simplify (* 1 1) into 1 85.030 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 85.030 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 85.030 * [taylor]: Taking taylor expansion of 1 in J 85.030 * [backup-simplify]: Simplify 1 into 1 85.030 * [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))) 85.030 * [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))) 85.031 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 85.031 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 85.031 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 85.031 * [backup-simplify]: Simplify (+ 0) into 0 85.032 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 85.032 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 85.032 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 85.033 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 85.033 * [backup-simplify]: Simplify (- 0) into 0 85.033 * [backup-simplify]: Simplify (+ 0 0) into 0 85.033 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 85.033 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 85.034 * [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 85.034 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 85.034 * [backup-simplify]: Simplify (+ 0 0) into 0 85.034 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 85.034 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 85.034 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 85.035 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 85.035 * [taylor]: Taking taylor expansion of 1/4 in K 85.035 * [backup-simplify]: Simplify 1/4 into 1/4 85.035 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 85.035 * [taylor]: Taking taylor expansion of (pow U 2) in K 85.035 * [taylor]: Taking taylor expansion of U in K 85.035 * [backup-simplify]: Simplify U into U 85.035 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 85.035 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 85.035 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 85.035 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 85.035 * [taylor]: Taking taylor expansion of 1/2 in K 85.035 * [backup-simplify]: Simplify 1/2 into 1/2 85.035 * [taylor]: Taking taylor expansion of K in K 85.035 * [backup-simplify]: Simplify 0 into 0 85.035 * [backup-simplify]: Simplify 1 into 1 85.035 * [backup-simplify]: Simplify (* 1/2 0) into 0 85.035 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 85.035 * [taylor]: Taking taylor expansion of (pow J 2) in K 85.035 * [taylor]: Taking taylor expansion of J in K 85.035 * [backup-simplify]: Simplify J into J 85.036 * [backup-simplify]: Simplify (* U U) into (pow U 2) 85.036 * [backup-simplify]: Simplify (* 1 1) into 1 85.036 * [backup-simplify]: Simplify (* J J) into (pow J 2) 85.036 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 85.036 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 85.036 * [taylor]: Taking taylor expansion of 1 in K 85.036 * [backup-simplify]: Simplify 1 into 1 85.036 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 85.036 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 85.036 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 85.036 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 85.036 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 85.037 * [backup-simplify]: Simplify (+ 0) into 0 85.037 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 85.037 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 85.038 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 85.038 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 85.038 * [backup-simplify]: Simplify (+ 0 0) into 0 85.038 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 85.038 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 85.038 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 85.038 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 85.038 * [taylor]: Taking taylor expansion of 1/4 in U 85.038 * [backup-simplify]: Simplify 1/4 into 1/4 85.038 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 85.038 * [taylor]: Taking taylor expansion of (pow U 2) in U 85.038 * [taylor]: Taking taylor expansion of U in U 85.038 * [backup-simplify]: Simplify 0 into 0 85.038 * [backup-simplify]: Simplify 1 into 1 85.038 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 85.038 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 85.038 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 85.039 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 85.039 * [taylor]: Taking taylor expansion of 1/2 in U 85.039 * [backup-simplify]: Simplify 1/2 into 1/2 85.039 * [taylor]: Taking taylor expansion of K in U 85.039 * [backup-simplify]: Simplify K into K 85.039 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 85.039 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 85.039 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 85.039 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 85.039 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 85.039 * [backup-simplify]: Simplify (- 0) into 0 85.039 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 85.039 * [taylor]: Taking taylor expansion of (pow J 2) in U 85.039 * [taylor]: Taking taylor expansion of J in U 85.039 * [backup-simplify]: Simplify J into J 85.040 * [backup-simplify]: Simplify (* 1 1) into 1 85.040 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 85.040 * [backup-simplify]: Simplify (* J J) into (pow J 2) 85.040 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 85.040 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 85.040 * [taylor]: Taking taylor expansion of 1 in U 85.040 * [backup-simplify]: Simplify 1 into 1 85.040 * [backup-simplify]: Simplify (+ 0 1) into 1 85.040 * [backup-simplify]: Simplify (sqrt 1) into 1 85.041 * [backup-simplify]: Simplify (+ 0 0) into 0 85.041 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 85.041 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 85.041 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 85.041 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 85.041 * [taylor]: Taking taylor expansion of 1/4 in U 85.041 * [backup-simplify]: Simplify 1/4 into 1/4 85.041 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 85.041 * [taylor]: Taking taylor expansion of (pow U 2) in U 85.041 * [taylor]: Taking taylor expansion of U in U 85.041 * [backup-simplify]: Simplify 0 into 0 85.041 * [backup-simplify]: Simplify 1 into 1 85.041 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 85.041 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 85.041 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 85.041 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 85.041 * [taylor]: Taking taylor expansion of 1/2 in U 85.041 * [backup-simplify]: Simplify 1/2 into 1/2 85.041 * [taylor]: Taking taylor expansion of K in U 85.041 * [backup-simplify]: Simplify K into K 85.041 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 85.042 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 85.042 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 85.042 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 85.042 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 85.042 * [backup-simplify]: Simplify (- 0) into 0 85.042 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 85.042 * [taylor]: Taking taylor expansion of (pow J 2) in U 85.042 * [taylor]: Taking taylor expansion of J in U 85.042 * [backup-simplify]: Simplify J into J 85.042 * [backup-simplify]: Simplify (* 1 1) into 1 85.042 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 85.042 * [backup-simplify]: Simplify (* J J) into (pow J 2) 85.043 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 85.043 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 85.043 * [taylor]: Taking taylor expansion of 1 in U 85.043 * [backup-simplify]: Simplify 1 into 1 85.043 * [backup-simplify]: Simplify (+ 0 1) into 1 85.043 * [backup-simplify]: Simplify (sqrt 1) into 1 85.043 * [backup-simplify]: Simplify (+ 0 0) into 0 85.044 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 85.044 * [taylor]: Taking taylor expansion of 1 in K 85.044 * [backup-simplify]: Simplify 1 into 1 85.044 * [taylor]: Taking taylor expansion of 1 in J 85.044 * [backup-simplify]: Simplify 1 into 1 85.044 * [taylor]: Taking taylor expansion of 0 in K 85.044 * [backup-simplify]: Simplify 0 into 0 85.044 * [taylor]: Taking taylor expansion of 0 in J 85.044 * [backup-simplify]: Simplify 0 into 0 85.044 * [taylor]: Taking taylor expansion of 0 in J 85.044 * [backup-simplify]: Simplify 0 into 0 85.044 * [backup-simplify]: Simplify 1 into 1 85.044 * [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))) 85.044 * [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)))) 85.046 * [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))) 85.046 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 85.046 * [taylor]: Taking taylor expansion of 1/8 in K 85.046 * [backup-simplify]: Simplify 1/8 into 1/8 85.046 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 85.046 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 85.046 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 85.046 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 85.046 * [taylor]: Taking taylor expansion of 1/2 in K 85.046 * [backup-simplify]: Simplify 1/2 into 1/2 85.046 * [taylor]: Taking taylor expansion of K in K 85.046 * [backup-simplify]: Simplify 0 into 0 85.046 * [backup-simplify]: Simplify 1 into 1 85.046 * [backup-simplify]: Simplify (* 1/2 0) into 0 85.046 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 85.046 * [taylor]: Taking taylor expansion of (pow J 2) in K 85.047 * [taylor]: Taking taylor expansion of J in K 85.047 * [backup-simplify]: Simplify J into J 85.047 * [backup-simplify]: Simplify (* 1 1) into 1 85.047 * [backup-simplify]: Simplify (* J J) into (pow J 2) 85.047 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 85.047 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2)) 85.047 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J 85.047 * [taylor]: Taking taylor expansion of 1/8 in J 85.047 * [backup-simplify]: Simplify 1/8 into 1/8 85.047 * [taylor]: Taking taylor expansion of (pow J 2) in J 85.047 * [taylor]: Taking taylor expansion of J in J 85.047 * [backup-simplify]: Simplify 0 into 0 85.047 * [backup-simplify]: Simplify 1 into 1 85.047 * [backup-simplify]: Simplify (* 1 1) into 1 85.048 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 85.048 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 85.048 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 85.049 * [backup-simplify]: Simplify 0 into 0 85.049 * [taylor]: Taking taylor expansion of 0 in J 85.049 * [backup-simplify]: Simplify 0 into 0 85.049 * [taylor]: Taking taylor expansion of 0 in J 85.049 * [backup-simplify]: Simplify 0 into 0 85.049 * [backup-simplify]: Simplify 0 into 0 85.049 * [backup-simplify]: Simplify 0 into 0 85.049 * [backup-simplify]: Simplify 0 into 0 85.049 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 85.049 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 85.049 * [backup-simplify]: Simplify (+ 0) into 0 85.050 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 85.050 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 85.050 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 85.051 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 85.051 * [backup-simplify]: Simplify (- 0) into 0 85.051 * [backup-simplify]: Simplify (+ 0 0) into 0 85.051 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 85.051 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 85.052 * [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 85.053 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 85.053 * [backup-simplify]: Simplify (+ 0 0) into 0 85.054 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 85.054 * [taylor]: Taking taylor expansion of 0 in K 85.054 * [backup-simplify]: Simplify 0 into 0 85.054 * [taylor]: Taking taylor expansion of 0 in J 85.054 * [backup-simplify]: Simplify 0 into 0 85.054 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 85.055 * [backup-simplify]: Simplify (+ 0) into 0 85.055 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 85.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 85.056 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0 85.056 * [taylor]: Taking taylor expansion of 0 in J 85.056 * [backup-simplify]: Simplify 0 into 0 85.056 * [taylor]: Taking taylor expansion of 0 in J 85.056 * [backup-simplify]: Simplify 0 into 0 85.056 * [taylor]: Taking taylor expansion of 0 in J 85.056 * [backup-simplify]: Simplify 0 into 0 85.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 85.058 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 85.058 * [backup-simplify]: Simplify 0 into 0 85.058 * [backup-simplify]: Simplify 0 into 0 85.058 * [backup-simplify]: Simplify 1 into 1 85.059 * [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)) 85.059 * [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 85.059 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 85.059 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 85.059 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 85.059 * [taylor]: Taking taylor expansion of 1/4 in J 85.059 * [backup-simplify]: Simplify 1/4 into 1/4 85.059 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 85.059 * [taylor]: Taking taylor expansion of (pow J 2) in J 85.059 * [taylor]: Taking taylor expansion of J in J 85.059 * [backup-simplify]: Simplify 0 into 0 85.059 * [backup-simplify]: Simplify 1 into 1 85.059 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 85.059 * [taylor]: Taking taylor expansion of (pow U 2) in J 85.059 * [taylor]: Taking taylor expansion of U in J 85.059 * [backup-simplify]: Simplify U into U 85.059 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 85.059 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 85.059 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 85.059 * [taylor]: Taking taylor expansion of 1/2 in J 85.059 * [backup-simplify]: Simplify 1/2 into 1/2 85.059 * [taylor]: Taking taylor expansion of K in J 85.059 * [backup-simplify]: Simplify K into K 85.059 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 85.060 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 85.060 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 85.060 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 85.060 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 85.060 * [backup-simplify]: Simplify (- 0) into 0 85.060 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 85.061 * [backup-simplify]: Simplify (* 1 1) into 1 85.061 * [backup-simplify]: Simplify (* U U) into (pow U 2) 85.061 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 85.061 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 85.061 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 85.061 * [taylor]: Taking taylor expansion of 1 in J 85.061 * [backup-simplify]: Simplify 1 into 1 85.062 * [backup-simplify]: Simplify (+ 0 1) into 1 85.062 * [backup-simplify]: Simplify (sqrt 1) into 1 85.063 * [backup-simplify]: Simplify (+ 0 0) into 0 85.063 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 85.063 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 85.063 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 85.063 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 85.063 * [taylor]: Taking taylor expansion of 1/4 in K 85.063 * [backup-simplify]: Simplify 1/4 into 1/4 85.064 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 85.064 * [taylor]: Taking taylor expansion of (pow J 2) in K 85.064 * [taylor]: Taking taylor expansion of J in K 85.064 * [backup-simplify]: Simplify J into J 85.064 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 85.064 * [taylor]: Taking taylor expansion of (pow U 2) in K 85.064 * [taylor]: Taking taylor expansion of U in K 85.064 * [backup-simplify]: Simplify U into U 85.064 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 85.064 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 85.064 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 85.064 * [taylor]: Taking taylor expansion of 1/2 in K 85.064 * [backup-simplify]: Simplify 1/2 into 1/2 85.064 * [taylor]: Taking taylor expansion of K in K 85.064 * [backup-simplify]: Simplify 0 into 0 85.064 * [backup-simplify]: Simplify 1 into 1 85.064 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 85.065 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 85.065 * [backup-simplify]: Simplify (* J J) into (pow J 2) 85.065 * [backup-simplify]: Simplify (* U U) into (pow U 2) 85.065 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 85.065 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 85.065 * [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))) 85.065 * [taylor]: Taking taylor expansion of 1 in K 85.065 * [backup-simplify]: Simplify 1 into 1 85.066 * [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)))) 85.066 * [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) 85.066 * [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)) 85.066 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 85.067 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 85.067 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 85.067 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 85.067 * [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 85.068 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 85.069 * [backup-simplify]: Simplify (+ 0 0) into 0 85.069 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 85.069 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 85.069 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 85.069 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 85.069 * [taylor]: Taking taylor expansion of 1/4 in U 85.069 * [backup-simplify]: Simplify 1/4 into 1/4 85.069 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 85.069 * [taylor]: Taking taylor expansion of (pow J 2) in U 85.069 * [taylor]: Taking taylor expansion of J in U 85.069 * [backup-simplify]: Simplify J into J 85.070 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 85.070 * [taylor]: Taking taylor expansion of (pow U 2) in U 85.070 * [taylor]: Taking taylor expansion of U in U 85.070 * [backup-simplify]: Simplify 0 into 0 85.070 * [backup-simplify]: Simplify 1 into 1 85.070 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 85.070 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 85.070 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 85.070 * [taylor]: Taking taylor expansion of 1/2 in U 85.070 * [backup-simplify]: Simplify 1/2 into 1/2 85.070 * [taylor]: Taking taylor expansion of K in U 85.070 * [backup-simplify]: Simplify K into K 85.070 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 85.070 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 85.070 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 85.070 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 85.070 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 85.071 * [backup-simplify]: Simplify (- 0) into 0 85.071 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 85.071 * [backup-simplify]: Simplify (* J J) into (pow J 2) 85.071 * [backup-simplify]: Simplify (* 1 1) into 1 85.071 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 85.071 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 85.072 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 85.072 * [taylor]: Taking taylor expansion of 1 in U 85.072 * [backup-simplify]: Simplify 1 into 1 85.072 * [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))) 85.072 * [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))) 85.072 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 85.073 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 85.073 * [backup-simplify]: Simplify (+ 0) into 0 85.073 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 85.074 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 85.074 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 85.075 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 85.075 * [backup-simplify]: Simplify (- 0) into 0 85.076 * [backup-simplify]: Simplify (+ 0 0) into 0 85.076 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 85.076 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 85.077 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 85.077 * [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 85.078 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 85.079 * [backup-simplify]: Simplify (+ 0 0) into 0 85.079 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 85.079 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 85.079 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 85.079 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 85.079 * [taylor]: Taking taylor expansion of 1/4 in U 85.079 * [backup-simplify]: Simplify 1/4 into 1/4 85.079 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 85.079 * [taylor]: Taking taylor expansion of (pow J 2) in U 85.079 * [taylor]: Taking taylor expansion of J in U 85.079 * [backup-simplify]: Simplify J into J 85.079 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 85.079 * [taylor]: Taking taylor expansion of (pow U 2) in U 85.079 * [taylor]: Taking taylor expansion of U in U 85.079 * [backup-simplify]: Simplify 0 into 0 85.079 * [backup-simplify]: Simplify 1 into 1 85.079 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 85.079 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 85.079 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 85.079 * [taylor]: Taking taylor expansion of 1/2 in U 85.079 * [backup-simplify]: Simplify 1/2 into 1/2 85.079 * [taylor]: Taking taylor expansion of K in U 85.079 * [backup-simplify]: Simplify K into K 85.079 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 85.080 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 85.080 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 85.080 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 85.080 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 85.080 * [backup-simplify]: Simplify (- 0) into 0 85.080 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 85.080 * [backup-simplify]: Simplify (* J J) into (pow J 2) 85.081 * [backup-simplify]: Simplify (* 1 1) into 1 85.081 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 85.081 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 85.081 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 85.081 * [taylor]: Taking taylor expansion of 1 in U 85.081 * [backup-simplify]: Simplify 1 into 1 85.081 * [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))) 85.082 * [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))) 85.082 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 85.082 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 85.082 * [backup-simplify]: Simplify (+ 0) into 0 85.083 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 85.083 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 85.084 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 85.084 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 85.085 * [backup-simplify]: Simplify (- 0) into 0 85.085 * [backup-simplify]: Simplify (+ 0 0) into 0 85.085 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 85.086 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 85.086 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 85.087 * [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 85.087 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 85.088 * [backup-simplify]: Simplify (+ 0 0) into 0 85.088 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 85.088 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K 85.088 * [taylor]: Taking taylor expansion of 1/2 in K 85.088 * [backup-simplify]: Simplify 1/2 into 1/2 85.088 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K 85.088 * [taylor]: Taking taylor expansion of J in K 85.088 * [backup-simplify]: Simplify J into J 85.088 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 85.088 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 85.088 * [taylor]: Taking taylor expansion of 1/2 in K 85.088 * [backup-simplify]: Simplify 1/2 into 1/2 85.088 * [taylor]: Taking taylor expansion of K in K 85.088 * [backup-simplify]: Simplify 0 into 0 85.089 * [backup-simplify]: Simplify 1 into 1 85.089 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 85.089 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 85.089 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 85.090 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 85.090 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 85.090 * [taylor]: Taking taylor expansion of 1/2 in J 85.090 * [backup-simplify]: Simplify 1/2 into 1/2 85.090 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 85.090 * [taylor]: Taking taylor expansion of J in J 85.090 * [backup-simplify]: Simplify 0 into 0 85.090 * [backup-simplify]: Simplify 1 into 1 85.090 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 85.090 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 85.090 * [taylor]: Taking taylor expansion of 1/2 in J 85.090 * [backup-simplify]: Simplify 1/2 into 1/2 85.090 * [taylor]: Taking taylor expansion of K in J 85.090 * [backup-simplify]: Simplify K into K 85.090 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 85.090 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 85.090 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 85.090 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 85.090 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 85.091 * [backup-simplify]: Simplify (- 0) into 0 85.091 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 85.091 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 85.091 * [taylor]: Taking taylor expansion of 0 in K 85.091 * [backup-simplify]: Simplify 0 into 0 85.091 * [taylor]: Taking taylor expansion of 0 in J 85.091 * [backup-simplify]: Simplify 0 into 0 85.091 * [backup-simplify]: Simplify 0 into 0 85.091 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 85.092 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 85.092 * [taylor]: Taking taylor expansion of 0 in J 85.092 * [backup-simplify]: Simplify 0 into 0 85.092 * [backup-simplify]: Simplify 0 into 0 85.092 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 85.092 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 85.092 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 85.093 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 85.093 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 85.093 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 85.094 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 85.094 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 85.094 * [backup-simplify]: Simplify (- 0) into 0 85.095 * [backup-simplify]: Simplify (+ 0 0) into 0 85.095 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 85.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 85.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 85.096 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 85.097 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 85.097 * [backup-simplify]: Simplify (+ 0 1) into 1 85.098 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 85.098 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 85.098 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 85.098 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 85.098 * [taylor]: Taking taylor expansion of 1/2 in K 85.098 * [backup-simplify]: Simplify 1/2 into 1/2 85.098 * [taylor]: Taking taylor expansion of K in K 85.098 * [backup-simplify]: Simplify 0 into 0 85.098 * [backup-simplify]: Simplify 1 into 1 85.098 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 85.098 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 85.098 * [taylor]: Taking taylor expansion of J in K 85.098 * [backup-simplify]: Simplify J into J 85.098 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 85.098 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 85.098 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 85.098 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 85.098 * [taylor]: Taking taylor expansion of 1/2 in J 85.098 * [backup-simplify]: Simplify 1/2 into 1/2 85.098 * [taylor]: Taking taylor expansion of K in J 85.098 * [backup-simplify]: Simplify K into K 85.098 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 85.098 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 85.098 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 85.098 * [taylor]: Taking taylor expansion of J in J 85.098 * [backup-simplify]: Simplify 0 into 0 85.098 * [backup-simplify]: Simplify 1 into 1 85.098 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 85.099 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 85.099 * [backup-simplify]: Simplify (- 0) into 0 85.099 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 85.099 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 85.099 * [backup-simplify]: Simplify (+ 0) into 0 85.099 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 85.100 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 85.100 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 85.100 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 85.101 * [backup-simplify]: Simplify (- 0) into 0 85.101 * [backup-simplify]: Simplify (+ 0 0) into 0 85.101 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 85.101 * [backup-simplify]: Simplify 0 into 0 85.101 * [taylor]: Taking taylor expansion of 0 in J 85.101 * [backup-simplify]: Simplify 0 into 0 85.101 * [backup-simplify]: Simplify 0 into 0 85.102 * [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 85.102 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 85.102 * [taylor]: Taking taylor expansion of 0 in J 85.102 * [backup-simplify]: Simplify 0 into 0 85.102 * [backup-simplify]: Simplify 0 into 0 85.102 * [backup-simplify]: Simplify 0 into 0 85.102 * [backup-simplify]: Simplify 0 into 0 85.103 * [backup-simplify]: Simplify (+ 0) into 0 85.103 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 85.103 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 85.103 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 85.104 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 85.104 * [backup-simplify]: Simplify (- 0) into 0 85.104 * [backup-simplify]: Simplify (+ 0 0) into 0 85.104 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 85.105 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 85.105 * [backup-simplify]: Simplify 0 into 0 85.105 * [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))) 85.105 * [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)))))) 85.105 * [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 85.105 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 85.105 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 85.105 * [taylor]: Taking taylor expansion of 1 in J 85.105 * [backup-simplify]: Simplify 1 into 1 85.105 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 85.105 * [taylor]: Taking taylor expansion of 1/4 in J 85.105 * [backup-simplify]: Simplify 1/4 into 1/4 85.106 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 85.106 * [taylor]: Taking taylor expansion of (pow J 2) in J 85.106 * [taylor]: Taking taylor expansion of J in J 85.106 * [backup-simplify]: Simplify 0 into 0 85.106 * [backup-simplify]: Simplify 1 into 1 85.106 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 85.106 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 85.106 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 85.106 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 85.106 * [taylor]: Taking taylor expansion of -1/2 in J 85.106 * [backup-simplify]: Simplify -1/2 into -1/2 85.106 * [taylor]: Taking taylor expansion of K in J 85.106 * [backup-simplify]: Simplify K into K 85.106 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 85.106 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 85.106 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 85.106 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 85.106 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 85.106 * [backup-simplify]: Simplify (- 0) into 0 85.106 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 85.106 * [taylor]: Taking taylor expansion of (pow U 2) in J 85.106 * [taylor]: Taking taylor expansion of U in J 85.106 * [backup-simplify]: Simplify U into U 85.107 * [backup-simplify]: Simplify (* 1 1) into 1 85.107 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 85.107 * [backup-simplify]: Simplify (* U U) into (pow U 2) 85.107 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 85.107 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 85.107 * [backup-simplify]: Simplify (+ 1 0) into 1 85.108 * [backup-simplify]: Simplify (sqrt 1) into 1 85.108 * [backup-simplify]: Simplify (+ 0 0) into 0 85.108 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 85.109 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 85.109 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 85.109 * [taylor]: Taking taylor expansion of 1 in K 85.109 * [backup-simplify]: Simplify 1 into 1 85.109 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 85.109 * [taylor]: Taking taylor expansion of 1/4 in K 85.109 * [backup-simplify]: Simplify 1/4 into 1/4 85.109 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 85.109 * [taylor]: Taking taylor expansion of (pow J 2) in K 85.109 * [taylor]: Taking taylor expansion of J in K 85.109 * [backup-simplify]: Simplify J into J 85.109 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 85.109 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 85.109 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 85.109 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 85.109 * [taylor]: Taking taylor expansion of -1/2 in K 85.109 * [backup-simplify]: Simplify -1/2 into -1/2 85.109 * [taylor]: Taking taylor expansion of K in K 85.109 * [backup-simplify]: Simplify 0 into 0 85.109 * [backup-simplify]: Simplify 1 into 1 85.109 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 85.109 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 85.109 * [taylor]: Taking taylor expansion of (pow U 2) in K 85.109 * [taylor]: Taking taylor expansion of U in K 85.109 * [backup-simplify]: Simplify U into U 85.109 * [backup-simplify]: Simplify (* J J) into (pow J 2) 85.109 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 85.110 * [backup-simplify]: Simplify (* U U) into (pow U 2) 85.110 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 85.110 * [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))) 85.110 * [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)))) 85.110 * [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))))) 85.110 * [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)))))) 85.111 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 85.111 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 85.111 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 85.111 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 85.111 * [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 85.112 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 85.112 * [backup-simplify]: Simplify (+ 0 0) into 0 85.112 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 85.112 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 85.112 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 85.112 * [taylor]: Taking taylor expansion of 1 in U 85.112 * [backup-simplify]: Simplify 1 into 1 85.112 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 85.112 * [taylor]: Taking taylor expansion of 1/4 in U 85.112 * [backup-simplify]: Simplify 1/4 into 1/4 85.112 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 85.112 * [taylor]: Taking taylor expansion of (pow J 2) in U 85.112 * [taylor]: Taking taylor expansion of J in U 85.112 * [backup-simplify]: Simplify J into J 85.112 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 85.112 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 85.112 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 85.112 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 85.112 * [taylor]: Taking taylor expansion of -1/2 in U 85.112 * [backup-simplify]: Simplify -1/2 into -1/2 85.112 * [taylor]: Taking taylor expansion of K in U 85.112 * [backup-simplify]: Simplify K into K 85.112 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 85.112 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 85.113 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 85.113 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 85.113 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 85.113 * [backup-simplify]: Simplify (- 0) into 0 85.113 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 85.113 * [taylor]: Taking taylor expansion of (pow U 2) in U 85.113 * [taylor]: Taking taylor expansion of U in U 85.113 * [backup-simplify]: Simplify 0 into 0 85.113 * [backup-simplify]: Simplify 1 into 1 85.113 * [backup-simplify]: Simplify (* J J) into (pow J 2) 85.113 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 85.113 * [backup-simplify]: Simplify (* 1 1) into 1 85.113 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 85.114 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 85.114 * [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))) 85.114 * [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))) 85.114 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 85.114 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 85.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 85.115 * [backup-simplify]: Simplify (+ 0) into 0 85.115 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 85.115 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 85.115 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 85.116 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 85.116 * [backup-simplify]: Simplify (- 0) into 0 85.116 * [backup-simplify]: Simplify (+ 0 0) into 0 85.116 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 85.117 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 85.117 * [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 85.117 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 85.117 * [backup-simplify]: Simplify (+ 0 0) into 0 85.118 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 85.118 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 85.118 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 85.118 * [taylor]: Taking taylor expansion of 1 in U 85.118 * [backup-simplify]: Simplify 1 into 1 85.118 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 85.118 * [taylor]: Taking taylor expansion of 1/4 in U 85.118 * [backup-simplify]: Simplify 1/4 into 1/4 85.118 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 85.118 * [taylor]: Taking taylor expansion of (pow J 2) in U 85.118 * [taylor]: Taking taylor expansion of J in U 85.118 * [backup-simplify]: Simplify J into J 85.118 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 85.118 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 85.118 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 85.118 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 85.118 * [taylor]: Taking taylor expansion of -1/2 in U 85.118 * [backup-simplify]: Simplify -1/2 into -1/2 85.118 * [taylor]: Taking taylor expansion of K in U 85.118 * [backup-simplify]: Simplify K into K 85.118 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 85.118 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 85.118 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 85.118 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 85.118 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 85.118 * [backup-simplify]: Simplify (- 0) into 0 85.118 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 85.118 * [taylor]: Taking taylor expansion of (pow U 2) in U 85.119 * [taylor]: Taking taylor expansion of U in U 85.119 * [backup-simplify]: Simplify 0 into 0 85.119 * [backup-simplify]: Simplify 1 into 1 85.119 * [backup-simplify]: Simplify (* J J) into (pow J 2) 85.119 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 85.119 * [backup-simplify]: Simplify (* 1 1) into 1 85.119 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 85.119 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 85.119 * [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))) 85.119 * [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))) 85.120 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 85.120 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 85.120 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 85.121 * [backup-simplify]: Simplify (+ 0) into 0 85.121 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 85.121 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 85.122 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 85.122 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 85.123 * [backup-simplify]: Simplify (- 0) into 0 85.123 * [backup-simplify]: Simplify (+ 0 0) into 0 85.123 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 85.124 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 85.124 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 85.125 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 85.125 * [backup-simplify]: Simplify (+ 0 0) into 0 85.125 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 85.126 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K 85.126 * [taylor]: Taking taylor expansion of 1/2 in K 85.126 * [backup-simplify]: Simplify 1/2 into 1/2 85.126 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K 85.126 * [taylor]: Taking taylor expansion of J in K 85.126 * [backup-simplify]: Simplify J into J 85.126 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 85.126 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 85.126 * [taylor]: Taking taylor expansion of -1/2 in K 85.126 * [backup-simplify]: Simplify -1/2 into -1/2 85.126 * [taylor]: Taking taylor expansion of K in K 85.126 * [backup-simplify]: Simplify 0 into 0 85.126 * [backup-simplify]: Simplify 1 into 1 85.127 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 85.127 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 85.127 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 85.127 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 85.127 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 85.127 * [taylor]: Taking taylor expansion of 1/2 in J 85.127 * [backup-simplify]: Simplify 1/2 into 1/2 85.127 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 85.127 * [taylor]: Taking taylor expansion of J in J 85.127 * [backup-simplify]: Simplify 0 into 0 85.127 * [backup-simplify]: Simplify 1 into 1 85.127 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 85.127 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 85.127 * [taylor]: Taking taylor expansion of -1/2 in J 85.127 * [backup-simplify]: Simplify -1/2 into -1/2 85.127 * [taylor]: Taking taylor expansion of K in J 85.127 * [backup-simplify]: Simplify K into K 85.127 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 85.127 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 85.127 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 85.127 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 85.128 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 85.128 * [backup-simplify]: Simplify (- 0) into 0 85.128 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 85.128 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 85.128 * [taylor]: Taking taylor expansion of 0 in K 85.128 * [backup-simplify]: Simplify 0 into 0 85.128 * [taylor]: Taking taylor expansion of 0 in J 85.128 * [backup-simplify]: Simplify 0 into 0 85.128 * [backup-simplify]: Simplify 0 into 0 85.129 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 85.129 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 85.129 * [taylor]: Taking taylor expansion of 0 in J 85.129 * [backup-simplify]: Simplify 0 into 0 85.129 * [backup-simplify]: Simplify 0 into 0 85.129 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 85.129 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 85.130 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 85.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 85.132 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 85.132 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 85.133 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 85.133 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 85.134 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 85.134 * [backup-simplify]: Simplify (- 0) into 0 85.135 * [backup-simplify]: Simplify (+ 0 0) into 0 85.135 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 85.136 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 85.136 * [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 85.137 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 85.138 * [backup-simplify]: Simplify (+ 1 0) into 1 85.139 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 85.139 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 85.139 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 85.139 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 85.139 * [taylor]: Taking taylor expansion of -1/2 in K 85.139 * [backup-simplify]: Simplify -1/2 into -1/2 85.139 * [taylor]: Taking taylor expansion of K in K 85.139 * [backup-simplify]: Simplify 0 into 0 85.139 * [backup-simplify]: Simplify 1 into 1 85.139 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 85.139 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 85.139 * [taylor]: Taking taylor expansion of J in K 85.139 * [backup-simplify]: Simplify J into J 85.139 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 85.139 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 85.140 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 85.140 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 85.140 * [taylor]: Taking taylor expansion of -1/2 in J 85.140 * [backup-simplify]: Simplify -1/2 into -1/2 85.140 * [taylor]: Taking taylor expansion of K in J 85.140 * [backup-simplify]: Simplify K into K 85.140 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 85.140 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 85.140 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 85.140 * [taylor]: Taking taylor expansion of J in J 85.140 * [backup-simplify]: Simplify 0 into 0 85.140 * [backup-simplify]: Simplify 1 into 1 85.140 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 85.140 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 85.141 * [backup-simplify]: Simplify (- 0) into 0 85.141 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 85.141 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 85.141 * [backup-simplify]: Simplify (+ 0) into 0 85.142 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 85.142 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 85.143 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 85.143 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 85.143 * [backup-simplify]: Simplify (- 0) into 0 85.144 * [backup-simplify]: Simplify (+ 0 0) into 0 85.145 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 85.145 * [backup-simplify]: Simplify 0 into 0 85.145 * [taylor]: Taking taylor expansion of 0 in J 85.145 * [backup-simplify]: Simplify 0 into 0 85.145 * [backup-simplify]: Simplify 0 into 0 85.145 * [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 85.146 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 85.146 * [taylor]: Taking taylor expansion of 0 in J 85.146 * [backup-simplify]: Simplify 0 into 0 85.146 * [backup-simplify]: Simplify 0 into 0 85.146 * [backup-simplify]: Simplify 0 into 0 85.146 * [backup-simplify]: Simplify 0 into 0 85.149 * [backup-simplify]: Simplify (+ 0) into 0 85.149 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 85.150 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 85.150 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 85.151 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 85.151 * [backup-simplify]: Simplify (- 0) into 0 85.152 * [backup-simplify]: Simplify (+ 0 0) into 0 85.152 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 85.152 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 85.152 * [backup-simplify]: Simplify 0 into 0 85.153 * [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))) 85.153 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1) 85.153 * [backup-simplify]: Simplify (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) into (pow (pow (cos (* 1/2 K)) 2) 1/9) 85.153 * [approximate]: Taking taylor expansion of (pow (pow (cos (* 1/2 K)) 2) 1/9) in (K) around 0 85.153 * [taylor]: Taking taylor expansion of (pow (pow (cos (* 1/2 K)) 2) 1/9) in K 85.153 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (cos (* 1/2 K)) 2)))) in K 85.153 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (cos (* 1/2 K)) 2))) in K 85.153 * [taylor]: Taking taylor expansion of 1/9 in K 85.153 * [backup-simplify]: Simplify 1/9 into 1/9 85.153 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 K)) 2)) in K 85.153 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 85.153 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 85.153 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 85.153 * [taylor]: Taking taylor expansion of 1/2 in K 85.153 * [backup-simplify]: Simplify 1/2 into 1/2 85.153 * [taylor]: Taking taylor expansion of K in K 85.153 * [backup-simplify]: Simplify 0 into 0 85.153 * [backup-simplify]: Simplify 1 into 1 85.154 * [backup-simplify]: Simplify (* 1/2 0) into 0 85.155 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 85.155 * [backup-simplify]: Simplify (* 1 1) into 1 85.155 * [backup-simplify]: Simplify (log 1) into 0 85.156 * [backup-simplify]: Simplify (* 1/9 0) into 0 85.156 * [backup-simplify]: Simplify (+ 0) into 0 85.157 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 85.158 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 85.159 * [backup-simplify]: Simplify (+ (* 1/9 0) (* 0 0)) into 0 85.160 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 85.161 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (* -1/8 1))) into -1/4 85.163 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/4) 1)) (pow 1 1)))) 2) into -1/4 85.164 * [backup-simplify]: Simplify (+ (* 1/9 -1/4) (+ (* 0 0) (* 0 0))) into -1/36 85.164 * [backup-simplify]: Simplify (exp 0) into 1 85.164 * [taylor]: Taking taylor expansion of (pow (pow (cos (* 1/2 K)) 2) 1/9) in K 85.164 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (cos (* 1/2 K)) 2)))) in K 85.164 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (cos (* 1/2 K)) 2))) in K 85.164 * [taylor]: Taking taylor expansion of 1/9 in K 85.164 * [backup-simplify]: Simplify 1/9 into 1/9 85.164 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 K)) 2)) in K 85.164 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 85.165 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 85.165 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 85.165 * [taylor]: Taking taylor expansion of 1/2 in K 85.165 * [backup-simplify]: Simplify 1/2 into 1/2 85.165 * [taylor]: Taking taylor expansion of K in K 85.165 * [backup-simplify]: Simplify 0 into 0 85.165 * [backup-simplify]: Simplify 1 into 1 85.165 * [backup-simplify]: Simplify (* 1/2 0) into 0 85.166 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 85.166 * [backup-simplify]: Simplify (* 1 1) into 1 85.166 * [backup-simplify]: Simplify (log 1) into 0 85.167 * [backup-simplify]: Simplify (* 1/9 0) into 0 85.167 * [backup-simplify]: Simplify (+ 0) into 0 85.168 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 85.168 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 85.169 * [backup-simplify]: Simplify (+ (* 1/9 0) (* 0 0)) into 0 85.169 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 85.170 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (* -1/8 1))) into -1/4 85.171 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/4) 1)) (pow 1 1)))) 2) into -1/4 85.172 * [backup-simplify]: Simplify (+ (* 1/9 -1/4) (+ (* 0 0) (* 0 0))) into -1/36 85.172 * [backup-simplify]: Simplify (exp 0) into 1 85.172 * [backup-simplify]: Simplify 1 into 1 85.173 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 85.173 * [backup-simplify]: Simplify 0 into 0 85.174 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1/36 1) 1)))) into -1/36 85.174 * [backup-simplify]: Simplify -1/36 into -1/36 85.174 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 85.175 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 85.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/8) (+ (* -1/8 0) (* 0 1)))) into 0 85.179 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -1/4) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 85.179 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 -1/4) (+ (* 0 0) (* 0 0)))) into 0 85.181 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -1/36 1) 1)) (* (/ (pow 0 1) 1)))) into 0 85.181 * [backup-simplify]: Simplify 0 into 0 85.181 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 85.183 * [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 85.184 * [backup-simplify]: Simplify (+ (* 1 1/384) (+ (* 0 0) (+ (* -1/8 -1/8) (+ (* 0 0) (* 1/384 1))))) into 1/48 85.190 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -1/4) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 -1/4) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/48) 1)) (pow 1 1)))) 24) into -1/96 85.191 * [backup-simplify]: Simplify (+ (* 1/9 -1/96) (+ (* 0 0) (+ (* 0 -1/4) (+ (* 0 0) (* 0 0))))) into -1/864 85.194 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -1/36 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -1/36 2) 2)) (* (/ (pow -1/864 1) 1)))) into -1/1296 85.194 * [backup-simplify]: Simplify -1/1296 into -1/1296 85.194 * [backup-simplify]: Simplify (+ (* -1/1296 (pow K 4)) (+ (* -1/36 (pow K 2)) 1)) into (- 1 (+ (* 1/1296 (pow K 4)) (* 1/36 (pow K 2)))) 85.194 * [backup-simplify]: Simplify (cbrt (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2))))) into (pow (pow (cos (/ 1/2 K)) 2) 1/9) 85.194 * [approximate]: Taking taylor expansion of (pow (pow (cos (/ 1/2 K)) 2) 1/9) in (K) around 0 85.194 * [taylor]: Taking taylor expansion of (pow (pow (cos (/ 1/2 K)) 2) 1/9) in K 85.194 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (cos (/ 1/2 K)) 2)))) in K 85.194 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (cos (/ 1/2 K)) 2))) in K 85.194 * [taylor]: Taking taylor expansion of 1/9 in K 85.194 * [backup-simplify]: Simplify 1/9 into 1/9 85.194 * [taylor]: Taking taylor expansion of (log (pow (cos (/ 1/2 K)) 2)) in K 85.194 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 85.194 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 85.194 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 85.194 * [taylor]: Taking taylor expansion of 1/2 in K 85.194 * [backup-simplify]: Simplify 1/2 into 1/2 85.194 * [taylor]: Taking taylor expansion of K in K 85.194 * [backup-simplify]: Simplify 0 into 0 85.194 * [backup-simplify]: Simplify 1 into 1 85.195 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 85.195 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 85.195 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 85.195 * [backup-simplify]: Simplify (log (pow (cos (/ 1/2 K)) 2)) into (log (pow (cos (/ 1/2 K)) 2)) 85.195 * [backup-simplify]: Simplify (* 1/9 (log (pow (cos (/ 1/2 K)) 2))) into (* 1/9 (log (pow (cos (/ 1/2 K)) 2))) 85.195 * [backup-simplify]: Simplify (exp (* 1/9 (log (pow (cos (/ 1/2 K)) 2)))) into (pow (pow (cos (/ 1/2 K)) 2) 1/9) 85.195 * [taylor]: Taking taylor expansion of (pow (pow (cos (/ 1/2 K)) 2) 1/9) in K 85.195 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (cos (/ 1/2 K)) 2)))) in K 85.195 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (cos (/ 1/2 K)) 2))) in K 85.195 * [taylor]: Taking taylor expansion of 1/9 in K 85.195 * [backup-simplify]: Simplify 1/9 into 1/9 85.195 * [taylor]: Taking taylor expansion of (log (pow (cos (/ 1/2 K)) 2)) in K 85.195 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 85.195 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 85.195 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 85.195 * [taylor]: Taking taylor expansion of 1/2 in K 85.195 * [backup-simplify]: Simplify 1/2 into 1/2 85.195 * [taylor]: Taking taylor expansion of K in K 85.195 * [backup-simplify]: Simplify 0 into 0 85.195 * [backup-simplify]: Simplify 1 into 1 85.196 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 85.196 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 85.196 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 85.196 * [backup-simplify]: Simplify (log (pow (cos (/ 1/2 K)) 2)) into (log (pow (cos (/ 1/2 K)) 2)) 85.196 * [backup-simplify]: Simplify (* 1/9 (log (pow (cos (/ 1/2 K)) 2))) into (* 1/9 (log (pow (cos (/ 1/2 K)) 2))) 85.196 * [backup-simplify]: Simplify (exp (* 1/9 (log (pow (cos (/ 1/2 K)) 2)))) into (pow (pow (cos (/ 1/2 K)) 2) 1/9) 85.196 * [backup-simplify]: Simplify (pow (pow (cos (/ 1/2 K)) 2) 1/9) into (pow (pow (cos (/ 1/2 K)) 2) 1/9) 85.197 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 85.198 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (/ 1/2 K)) 2) 1)))) 1) into 0 85.198 * [backup-simplify]: Simplify (+ (* 1/9 0) (* 0 (log (pow (cos (/ 1/2 K)) 2)))) into 0 85.199 * [backup-simplify]: Simplify (* (exp (* 1/9 (log (pow (cos (/ 1/2 K)) 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 85.199 * [backup-simplify]: Simplify 0 into 0 85.200 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 85.202 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (/ 1/2 K)) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (/ 1/2 K)) 2) 1)))) 2) into 0 85.203 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (* 0 (log (pow (cos (/ 1/2 K)) 2))))) into 0 85.204 * [backup-simplify]: Simplify (* (exp (* 1/9 (log (pow (cos (/ 1/2 K)) 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 85.204 * [backup-simplify]: Simplify 0 into 0 85.205 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 85.208 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (cos (/ 1/2 K)) 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (cos (/ 1/2 K)) 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (cos (/ 1/2 K)) 2) 1)))) 6) into 0 85.209 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (cos (/ 1/2 K)) 2)))))) into 0 85.211 * [backup-simplify]: Simplify (* (exp (* 1/9 (log (pow (cos (/ 1/2 K)) 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 85.211 * [backup-simplify]: Simplify 0 into 0 85.212 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))))) into 0 85.217 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (pow (cos (/ 1/2 K)) 2) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (pow (cos (/ 1/2 K)) 2) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (pow (cos (/ 1/2 K)) 2) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (pow (cos (/ 1/2 K)) 2) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (pow (cos (/ 1/2 K)) 2) 1)))) 24) into 0 85.219 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (cos (/ 1/2 K)) 2))))))) into 0 85.221 * [backup-simplify]: Simplify (* (exp (* 1/9 (log (pow (cos (/ 1/2 K)) 2)))) (+ (* (/ (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 85.221 * [backup-simplify]: Simplify 0 into 0 85.223 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))))) into 0 85.231 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (pow (cos (/ 1/2 K)) 2) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (pow (cos (/ 1/2 K)) 2) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (pow (cos (/ 1/2 K)) 2) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (pow (cos (/ 1/2 K)) 2) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow (cos (/ 1/2 K)) 2) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (pow (cos (/ 1/2 K)) 2) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (pow (cos (/ 1/2 K)) 2) 1)))) 120) into 0 85.233 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (cos (/ 1/2 K)) 2)))))))) into 0 85.237 * [backup-simplify]: Simplify (* (exp (* 1/9 (log (pow (cos (/ 1/2 K)) 2)))) (+ (* (/ (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 85.237 * [backup-simplify]: Simplify 0 into 0 85.239 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))))))) into 0 85.252 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (pow (cos (/ 1/2 K)) 2) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (pow (cos (/ 1/2 K)) 2) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (pow (cos (/ 1/2 K)) 2) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (pow (cos (/ 1/2 K)) 2) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (pow (cos (/ 1/2 K)) 2) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow (cos (/ 1/2 K)) 2) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (pow (cos (/ 1/2 K)) 2) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (pow (cos (/ 1/2 K)) 2) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (pow (cos (/ 1/2 K)) 2) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (pow (cos (/ 1/2 K)) 2) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (pow (cos (/ 1/2 K)) 2) 1)))) 720) into 0 85.254 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (cos (/ 1/2 K)) 2))))))))) into 0 85.260 * [backup-simplify]: Simplify (* (exp (* 1/9 (log (pow (cos (/ 1/2 K)) 2)))) (+ (* (/ (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 85.260 * [backup-simplify]: Simplify 0 into 0 85.260 * [backup-simplify]: Simplify (pow (pow (cos (/ 1/2 (/ 1 K))) 2) 1/9) into (pow (pow (cos (* 1/2 K)) 2) 1/9) 85.261 * [backup-simplify]: Simplify (cbrt (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2))))) into (pow (pow (cos (/ -1/2 K)) 2) 1/9) 85.261 * [approximate]: Taking taylor expansion of (pow (pow (cos (/ -1/2 K)) 2) 1/9) in (K) around 0 85.261 * [taylor]: Taking taylor expansion of (pow (pow (cos (/ -1/2 K)) 2) 1/9) in K 85.261 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (cos (/ -1/2 K)) 2)))) in K 85.261 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (cos (/ -1/2 K)) 2))) in K 85.261 * [taylor]: Taking taylor expansion of 1/9 in K 85.261 * [backup-simplify]: Simplify 1/9 into 1/9 85.261 * [taylor]: Taking taylor expansion of (log (pow (cos (/ -1/2 K)) 2)) in K 85.261 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 85.261 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 85.261 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 85.261 * [taylor]: Taking taylor expansion of -1/2 in K 85.261 * [backup-simplify]: Simplify -1/2 into -1/2 85.261 * [taylor]: Taking taylor expansion of K in K 85.261 * [backup-simplify]: Simplify 0 into 0 85.261 * [backup-simplify]: Simplify 1 into 1 85.262 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 85.262 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 85.262 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 85.262 * [backup-simplify]: Simplify (log (pow (cos (/ -1/2 K)) 2)) into (log (pow (cos (/ -1/2 K)) 2)) 85.262 * [backup-simplify]: Simplify (* 1/9 (log (pow (cos (/ -1/2 K)) 2))) into (* 1/9 (log (pow (cos (/ -1/2 K)) 2))) 85.262 * [backup-simplify]: Simplify (exp (* 1/9 (log (pow (cos (/ -1/2 K)) 2)))) into (pow (pow (cos (/ -1/2 K)) 2) 1/9) 85.262 * [taylor]: Taking taylor expansion of (pow (pow (cos (/ -1/2 K)) 2) 1/9) in K 85.262 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (pow (cos (/ -1/2 K)) 2)))) in K 85.262 * [taylor]: Taking taylor expansion of (* 1/9 (log (pow (cos (/ -1/2 K)) 2))) in K 85.262 * [taylor]: Taking taylor expansion of 1/9 in K 85.262 * [backup-simplify]: Simplify 1/9 into 1/9 85.262 * [taylor]: Taking taylor expansion of (log (pow (cos (/ -1/2 K)) 2)) in K 85.262 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 85.263 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 85.263 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 85.263 * [taylor]: Taking taylor expansion of -1/2 in K 85.263 * [backup-simplify]: Simplify -1/2 into -1/2 85.263 * [taylor]: Taking taylor expansion of K in K 85.263 * [backup-simplify]: Simplify 0 into 0 85.263 * [backup-simplify]: Simplify 1 into 1 85.263 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 85.263 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 85.263 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 85.263 * [backup-simplify]: Simplify (log (pow (cos (/ -1/2 K)) 2)) into (log (pow (cos (/ -1/2 K)) 2)) 85.264 * [backup-simplify]: Simplify (* 1/9 (log (pow (cos (/ -1/2 K)) 2))) into (* 1/9 (log (pow (cos (/ -1/2 K)) 2))) 85.264 * [backup-simplify]: Simplify (exp (* 1/9 (log (pow (cos (/ -1/2 K)) 2)))) into (pow (pow (cos (/ -1/2 K)) 2) 1/9) 85.264 * [backup-simplify]: Simplify (pow (pow (cos (/ -1/2 K)) 2) 1/9) into (pow (pow (cos (/ -1/2 K)) 2) 1/9) 85.264 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 85.265 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (/ -1/2 K)) 2) 1)))) 1) into 0 85.266 * [backup-simplify]: Simplify (+ (* 1/9 0) (* 0 (log (pow (cos (/ -1/2 K)) 2)))) into 0 85.267 * [backup-simplify]: Simplify (* (exp (* 1/9 (log (pow (cos (/ -1/2 K)) 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 85.267 * [backup-simplify]: Simplify 0 into 0 85.267 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 85.271 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (/ -1/2 K)) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (/ -1/2 K)) 2) 1)))) 2) into 0 85.272 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (* 0 (log (pow (cos (/ -1/2 K)) 2))))) into 0 85.273 * [backup-simplify]: Simplify (* (exp (* 1/9 (log (pow (cos (/ -1/2 K)) 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 85.273 * [backup-simplify]: Simplify 0 into 0 85.274 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 85.277 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (cos (/ -1/2 K)) 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (cos (/ -1/2 K)) 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (cos (/ -1/2 K)) 2) 1)))) 6) into 0 85.278 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (cos (/ -1/2 K)) 2)))))) into 0 85.280 * [backup-simplify]: Simplify (* (exp (* 1/9 (log (pow (cos (/ -1/2 K)) 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 85.280 * [backup-simplify]: Simplify 0 into 0 85.281 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))))) into 0 85.285 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (pow (cos (/ -1/2 K)) 2) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (pow (cos (/ -1/2 K)) 2) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (pow (cos (/ -1/2 K)) 2) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (pow (cos (/ -1/2 K)) 2) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (pow (cos (/ -1/2 K)) 2) 1)))) 24) into 0 85.286 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (cos (/ -1/2 K)) 2))))))) into 0 85.287 * [backup-simplify]: Simplify (* (exp (* 1/9 (log (pow (cos (/ -1/2 K)) 2)))) (+ (* (/ (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 85.287 * [backup-simplify]: Simplify 0 into 0 85.288 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))))) into 0 85.293 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (pow (cos (/ -1/2 K)) 2) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (pow (cos (/ -1/2 K)) 2) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (pow (cos (/ -1/2 K)) 2) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (pow (cos (/ -1/2 K)) 2) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow (cos (/ -1/2 K)) 2) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (pow (cos (/ -1/2 K)) 2) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (pow (cos (/ -1/2 K)) 2) 1)))) 120) into 0 85.294 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (cos (/ -1/2 K)) 2)))))))) into 0 85.296 * [backup-simplify]: Simplify (* (exp (* 1/9 (log (pow (cos (/ -1/2 K)) 2)))) (+ (* (/ (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 85.297 * [backup-simplify]: Simplify 0 into 0 85.298 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))))))) into 0 85.305 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (pow (cos (/ -1/2 K)) 2) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (pow (cos (/ -1/2 K)) 2) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (pow (cos (/ -1/2 K)) 2) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (pow (cos (/ -1/2 K)) 2) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (pow (cos (/ -1/2 K)) 2) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow (cos (/ -1/2 K)) 2) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (pow (cos (/ -1/2 K)) 2) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (pow (cos (/ -1/2 K)) 2) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (pow (cos (/ -1/2 K)) 2) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (pow (cos (/ -1/2 K)) 2) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (pow (cos (/ -1/2 K)) 2) 1)))) 720) into 0 85.306 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (cos (/ -1/2 K)) 2))))))))) into 0 85.309 * [backup-simplify]: Simplify (* (exp (* 1/9 (log (pow (cos (/ -1/2 K)) 2)))) (+ (* (/ (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 85.309 * [backup-simplify]: Simplify 0 into 0 85.309 * [backup-simplify]: Simplify (pow (pow (cos (/ -1/2 (/ 1 (- K)))) 2) 1/9) into (pow (pow (cos (* 1/2 K)) 2) 1/9) 85.309 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 85.309 * [backup-simplify]: Simplify (cbrt (cos (/ K 2))) into (pow (cos (* 1/2 K)) 1/3) 85.309 * [approximate]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in (K) around 0 85.309 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in K 85.309 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (* 1/2 K))))) in K 85.309 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (* 1/2 K)))) in K 85.309 * [taylor]: Taking taylor expansion of 1/3 in K 85.309 * [backup-simplify]: Simplify 1/3 into 1/3 85.309 * [taylor]: Taking taylor expansion of (log (cos (* 1/2 K))) in K 85.309 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 85.310 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 85.310 * [taylor]: Taking taylor expansion of 1/2 in K 85.310 * [backup-simplify]: Simplify 1/2 into 1/2 85.310 * [taylor]: Taking taylor expansion of K in K 85.310 * [backup-simplify]: Simplify 0 into 0 85.310 * [backup-simplify]: Simplify 1 into 1 85.310 * [backup-simplify]: Simplify (* 1/2 0) into 0 85.310 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 85.311 * [backup-simplify]: Simplify (log 1) into 0 85.311 * [backup-simplify]: Simplify (* 1/3 0) into 0 85.311 * [backup-simplify]: Simplify (+ 0) into 0 85.312 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 85.312 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 85.313 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 85.314 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/8 85.315 * [backup-simplify]: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24 85.315 * [backup-simplify]: Simplify (exp 0) into 1 85.315 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in K 85.315 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (* 1/2 K))))) in K 85.315 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (* 1/2 K)))) in K 85.315 * [taylor]: Taking taylor expansion of 1/3 in K 85.315 * [backup-simplify]: Simplify 1/3 into 1/3 85.315 * [taylor]: Taking taylor expansion of (log (cos (* 1/2 K))) in K 85.315 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 85.315 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 85.315 * [taylor]: Taking taylor expansion of 1/2 in K 85.315 * [backup-simplify]: Simplify 1/2 into 1/2 85.315 * [taylor]: Taking taylor expansion of K in K 85.315 * [backup-simplify]: Simplify 0 into 0 85.315 * [backup-simplify]: Simplify 1 into 1 85.315 * [backup-simplify]: Simplify (* 1/2 0) into 0 85.316 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 85.316 * [backup-simplify]: Simplify (log 1) into 0 85.317 * [backup-simplify]: Simplify (* 1/3 0) into 0 85.317 * [backup-simplify]: Simplify (+ 0) into 0 85.318 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 85.319 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 85.320 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 85.323 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/8 85.324 * [backup-simplify]: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24 85.324 * [backup-simplify]: Simplify (exp 0) into 1 85.324 * [backup-simplify]: Simplify 1 into 1 85.325 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 85.326 * [backup-simplify]: Simplify 0 into 0 85.327 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1/24 1) 1)))) into -1/24 85.327 * [backup-simplify]: Simplify -1/24 into -1/24 85.328 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 85.330 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 85.335 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 85.337 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 0)))) into 0 85.339 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -1/24 1) 1)) (* (/ (pow 0 1) 1)))) into 0 85.339 * [backup-simplify]: Simplify 0 into 0 85.341 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 85.344 * [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 85.350 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -1/8) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 -1/8) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/384) 1)) (pow 1 1)))) 24) into -1/192 85.351 * [backup-simplify]: Simplify (+ (* 1/3 -1/192) (+ (* 0 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 0))))) into -1/576 85.353 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -1/24 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -1/24 2) 2)) (* (/ (pow -1/576 1) 1)))) into -1/1152 85.354 * [backup-simplify]: Simplify -1/1152 into -1/1152 85.354 * [backup-simplify]: Simplify (+ (* -1/1152 (pow K 4)) (+ (* -1/24 (pow K 2)) 1)) into (- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2)))) 85.354 * [backup-simplify]: Simplify (cbrt (cos (/ (/ 1 K) 2))) into (pow (cos (/ 1/2 K)) 1/3) 85.354 * [approximate]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in (K) around 0 85.354 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in K 85.354 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1/2 K))))) in K 85.354 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1/2 K)))) in K 85.354 * [taylor]: Taking taylor expansion of 1/3 in K 85.354 * [backup-simplify]: Simplify 1/3 into 1/3 85.354 * [taylor]: Taking taylor expansion of (log (cos (/ 1/2 K))) in K 85.354 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 85.354 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 85.354 * [taylor]: Taking taylor expansion of 1/2 in K 85.354 * [backup-simplify]: Simplify 1/2 into 1/2 85.354 * [taylor]: Taking taylor expansion of K in K 85.354 * [backup-simplify]: Simplify 0 into 0 85.354 * [backup-simplify]: Simplify 1 into 1 85.354 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 85.354 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 85.355 * [backup-simplify]: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) 85.355 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K)))) 85.355 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3) 85.355 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in K 85.355 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1/2 K))))) in K 85.355 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1/2 K)))) in K 85.355 * [taylor]: Taking taylor expansion of 1/3 in K 85.355 * [backup-simplify]: Simplify 1/3 into 1/3 85.355 * [taylor]: Taking taylor expansion of (log (cos (/ 1/2 K))) in K 85.355 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 85.355 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 85.355 * [taylor]: Taking taylor expansion of 1/2 in K 85.355 * [backup-simplify]: Simplify 1/2 into 1/2 85.355 * [taylor]: Taking taylor expansion of K in K 85.355 * [backup-simplify]: Simplify 0 into 0 85.355 * [backup-simplify]: Simplify 1 into 1 85.355 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 85.355 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 85.355 * [backup-simplify]: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) 85.355 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K)))) 85.355 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3) 85.355 * [backup-simplify]: Simplify (pow (cos (/ 1/2 K)) 1/3) into (pow (cos (/ 1/2 K)) 1/3) 85.356 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 1) into 0 85.356 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ 1/2 K))))) into 0 85.357 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 85.357 * [backup-simplify]: Simplify 0 into 0 85.358 * [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 85.358 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))) into 0 85.359 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 85.359 * [backup-simplify]: Simplify 0 into 0 85.361 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 6) into 0 85.362 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))) into 0 85.363 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 85.363 * [backup-simplify]: Simplify 0 into 0 85.365 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ 1/2 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 24) into 0 85.366 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))))) into 0 85.369 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 85.369 * [backup-simplify]: Simplify 0 into 0 85.374 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ 1/2 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 120) into 0 85.375 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))))) into 0 85.377 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 85.377 * [backup-simplify]: Simplify 0 into 0 85.387 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ 1/2 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 720) into 0 85.389 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))))))) into 0 85.395 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 85.396 * [backup-simplify]: Simplify 0 into 0 85.396 * [backup-simplify]: Simplify (pow (cos (/ 1/2 (/ 1 K))) 1/3) into (pow (cos (* 1/2 K)) 1/3) 85.396 * [backup-simplify]: Simplify (cbrt (cos (/ (/ 1 (- K)) 2))) into (pow (cos (/ -1/2 K)) 1/3) 85.396 * [approximate]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in (K) around 0 85.396 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in K 85.396 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1/2 K))))) in K 85.396 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1/2 K)))) in K 85.396 * [taylor]: Taking taylor expansion of 1/3 in K 85.396 * [backup-simplify]: Simplify 1/3 into 1/3 85.396 * [taylor]: Taking taylor expansion of (log (cos (/ -1/2 K))) in K 85.396 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 85.396 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 85.396 * [taylor]: Taking taylor expansion of -1/2 in K 85.396 * [backup-simplify]: Simplify -1/2 into -1/2 85.396 * [taylor]: Taking taylor expansion of K in K 85.396 * [backup-simplify]: Simplify 0 into 0 85.396 * [backup-simplify]: Simplify 1 into 1 85.397 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 85.397 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 85.397 * [backup-simplify]: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) 85.397 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K)))) 85.397 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3) 85.397 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in K 85.397 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1/2 K))))) in K 85.397 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1/2 K)))) in K 85.397 * [taylor]: Taking taylor expansion of 1/3 in K 85.397 * [backup-simplify]: Simplify 1/3 into 1/3 85.397 * [taylor]: Taking taylor expansion of (log (cos (/ -1/2 K))) in K 85.397 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 85.398 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 85.398 * [taylor]: Taking taylor expansion of -1/2 in K 85.398 * [backup-simplify]: Simplify -1/2 into -1/2 85.398 * [taylor]: Taking taylor expansion of K in K 85.398 * [backup-simplify]: Simplify 0 into 0 85.398 * [backup-simplify]: Simplify 1 into 1 85.398 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 85.398 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 85.398 * [backup-simplify]: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) 85.399 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K)))) 85.399 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3) 85.399 * [backup-simplify]: Simplify (pow (cos (/ -1/2 K)) 1/3) into (pow (cos (/ -1/2 K)) 1/3) 85.400 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 1) into 0 85.400 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ -1/2 K))))) into 0 85.401 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 85.401 * [backup-simplify]: Simplify 0 into 0 85.403 * [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 85.404 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))) into 0 85.405 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 85.405 * [backup-simplify]: Simplify 0 into 0 85.408 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 6) into 0 85.410 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))) into 0 85.411 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 85.412 * [backup-simplify]: Simplify 0 into 0 85.416 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ -1/2 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 24) into 0 85.418 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))))) into 0 85.421 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 85.421 * [backup-simplify]: Simplify 0 into 0 85.429 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ -1/2 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 120) into 0 85.431 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))))) into 0 85.435 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 85.435 * [backup-simplify]: Simplify 0 into 0 85.447 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ -1/2 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 720) into 0 85.449 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))))))) into 0 85.455 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 85.456 * [backup-simplify]: Simplify 0 into 0 85.456 * [backup-simplify]: Simplify (pow (cos (/ -1/2 (/ 1 (- K)))) 1/3) into (pow (cos (* 1/2 K)) 1/3) 85.456 * * * [progress]: simplifying candidates 85.456 * * * * [progress]: [ 1 / 105 ] simplifiying candidate # 85.456 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J))) 85.457 * * [simplify]: iters left: 6 (24 enodes) 85.469 * * [simplify]: iters left: 5 (101 enodes) 85.492 * * [simplify]: iters left: 4 (233 enodes) 85.561 * * [simplify]: Extracting #0: cost 1 inf + 0 85.561 * * [simplify]: Extracting #1: cost 45 inf + 0 85.561 * * [simplify]: Extracting #2: cost 144 inf + 2 85.564 * * [simplify]: Extracting #3: cost 153 inf + 86 85.565 * * [simplify]: Extracting #4: cost 207 inf + 87 85.567 * * [simplify]: Extracting #5: cost 230 inf + 9565 85.576 * * [simplify]: Extracting #6: cost 88 inf + 53441 85.602 * * [simplify]: Extracting #7: cost 7 inf + 93129 85.646 * * [simplify]: Extracting #8: cost 0 inf + 97705 85.685 * [simplify]: Simplified to (* (* (* -2 J) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))))) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) 85.685 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* -2 J) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))))) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) 1)) 85.685 * * * * [progress]: [ 2 / 105 ] simplifiying candidate # 85.685 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J))) 85.686 * * [simplify]: iters left: 6 (24 enodes) 85.692 * * [simplify]: iters left: 5 (101 enodes) 85.713 * * [simplify]: iters left: 4 (233 enodes) 85.835 * * [simplify]: Extracting #0: cost 1 inf + 0 85.835 * * [simplify]: Extracting #1: cost 45 inf + 0 85.836 * * [simplify]: Extracting #2: cost 144 inf + 2 85.836 * * [simplify]: Extracting #3: cost 153 inf + 86 85.837 * * [simplify]: Extracting #4: cost 207 inf + 87 85.839 * * [simplify]: Extracting #5: cost 230 inf + 9565 85.848 * * [simplify]: Extracting #6: cost 88 inf + 53441 85.870 * * [simplify]: Extracting #7: cost 7 inf + 93129 85.902 * * [simplify]: Extracting #8: cost 0 inf + 97705 85.926 * [simplify]: Simplified to (* (* (* -2 J) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))))) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) 85.926 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* -2 J) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))))) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) 1)) 85.927 * * * * [progress]: [ 3 / 105 ] simplifiying candidate # 85.927 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J))) 85.927 * * [simplify]: iters left: 6 (24 enodes) 85.941 * * [simplify]: iters left: 5 (101 enodes) 85.959 * * [simplify]: iters left: 4 (233 enodes) 86.069 * * [simplify]: Extracting #0: cost 1 inf + 0 86.069 * * [simplify]: Extracting #1: cost 45 inf + 0 86.069 * * [simplify]: Extracting #2: cost 144 inf + 2 86.070 * * [simplify]: Extracting #3: cost 153 inf + 86 86.070 * * [simplify]: Extracting #4: cost 207 inf + 87 86.073 * * [simplify]: Extracting #5: cost 230 inf + 9565 86.082 * * [simplify]: Extracting #6: cost 88 inf + 53441 86.106 * * [simplify]: Extracting #7: cost 7 inf + 93129 86.149 * * [simplify]: Extracting #8: cost 0 inf + 97705 86.197 * [simplify]: Simplified to (* (* (* -2 J) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))))) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) 86.197 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* -2 J) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))))) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) 1)) 86.197 * * * * [progress]: [ 4 / 105 ] simplifiying candidate # 86.198 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J))) 86.198 * * [simplify]: iters left: 6 (24 enodes) 86.210 * * [simplify]: iters left: 5 (101 enodes) 86.246 * * [simplify]: iters left: 4 (233 enodes) 86.333 * * [simplify]: Extracting #0: cost 1 inf + 0 86.333 * * [simplify]: Extracting #1: cost 45 inf + 0 86.334 * * [simplify]: Extracting #2: cost 144 inf + 2 86.335 * * [simplify]: Extracting #3: cost 153 inf + 86 86.336 * * [simplify]: Extracting #4: cost 207 inf + 87 86.340 * * [simplify]: Extracting #5: cost 230 inf + 9565 86.358 * * [simplify]: Extracting #6: cost 88 inf + 53441 86.394 * * [simplify]: Extracting #7: cost 7 inf + 93129 86.421 * * [simplify]: Extracting #8: cost 0 inf + 97705 86.465 * [simplify]: Simplified to (* (* (* -2 J) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))))) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) 86.465 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* -2 J) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))))) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) 1)) 86.465 * * * * [progress]: [ 5 / 105 ] simplifiying candidate # 86.466 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J))) 86.466 * * [simplify]: iters left: 6 (24 enodes) 86.478 * * [simplify]: iters left: 5 (101 enodes) 86.496 * * [simplify]: iters left: 4 (233 enodes) 86.581 * * [simplify]: Extracting #0: cost 1 inf + 0 86.581 * * [simplify]: Extracting #1: cost 45 inf + 0 86.581 * * [simplify]: Extracting #2: cost 144 inf + 2 86.582 * * [simplify]: Extracting #3: cost 153 inf + 86 86.584 * * [simplify]: Extracting #4: cost 207 inf + 87 86.588 * * [simplify]: Extracting #5: cost 230 inf + 9565 86.606 * * [simplify]: Extracting #6: cost 88 inf + 53441 86.645 * * [simplify]: Extracting #7: cost 7 inf + 93129 86.693 * * [simplify]: Extracting #8: cost 0 inf + 97705 86.736 * [simplify]: Simplified to (* (* (* -2 J) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))))) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) 86.736 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* -2 J) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))))) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) 1)) 86.737 * * * * [progress]: [ 6 / 105 ] simplifiying candidate # 86.737 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J))) 86.737 * * [simplify]: iters left: 6 (24 enodes) 86.745 * * [simplify]: iters left: 5 (101 enodes) 86.763 * * [simplify]: iters left: 4 (233 enodes) 86.845 * * [simplify]: Extracting #0: cost 1 inf + 0 86.845 * * [simplify]: Extracting #1: cost 45 inf + 0 86.846 * * [simplify]: Extracting #2: cost 144 inf + 2 86.847 * * [simplify]: Extracting #3: cost 153 inf + 86 86.848 * * [simplify]: Extracting #4: cost 207 inf + 87 86.852 * * [simplify]: Extracting #5: cost 230 inf + 9565 86.867 * * [simplify]: Extracting #6: cost 88 inf + 53441 86.889 * * [simplify]: Extracting #7: cost 7 inf + 93129 86.911 * * [simplify]: Extracting #8: cost 0 inf + 97705 86.932 * [simplify]: Simplified to (* (* (* -2 J) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))))) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) 86.933 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* -2 J) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))))) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) 1)) 86.933 * * * * [progress]: [ 7 / 105 ] simplifiying candidate # 86.933 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J))) 86.933 * * [simplify]: iters left: 6 (24 enodes) 86.939 * * [simplify]: iters left: 5 (101 enodes) 86.970 * * [simplify]: iters left: 4 (233 enodes) 87.093 * * [simplify]: Extracting #0: cost 1 inf + 0 87.093 * * [simplify]: Extracting #1: cost 45 inf + 0 87.094 * * [simplify]: Extracting #2: cost 144 inf + 2 87.095 * * [simplify]: Extracting #3: cost 153 inf + 86 87.096 * * [simplify]: Extracting #4: cost 207 inf + 87 87.100 * * [simplify]: Extracting #5: cost 230 inf + 9565 87.111 * * [simplify]: Extracting #6: cost 88 inf + 53441 87.130 * * [simplify]: Extracting #7: cost 7 inf + 93129 87.173 * * [simplify]: Extracting #8: cost 0 inf + 97705 87.204 * [simplify]: Simplified to (* (* (* -2 J) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))))) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) 87.205 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* -2 J) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))))) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) 1)) 87.205 * * * * [progress]: [ 8 / 105 ] simplifiying candidate # 87.205 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J))) 87.205 * * [simplify]: iters left: 6 (24 enodes) 87.211 * * [simplify]: iters left: 5 (101 enodes) 87.234 * * [simplify]: iters left: 4 (233 enodes) 87.316 * * [simplify]: Extracting #0: cost 1 inf + 0 87.316 * * [simplify]: Extracting #1: cost 45 inf + 0 87.316 * * [simplify]: Extracting #2: cost 144 inf + 2 87.317 * * [simplify]: Extracting #3: cost 153 inf + 86 87.317 * * [simplify]: Extracting #4: cost 207 inf + 87 87.319 * * [simplify]: Extracting #5: cost 230 inf + 9565 87.336 * * [simplify]: Extracting #6: cost 88 inf + 53441 87.374 * * [simplify]: Extracting #7: cost 7 inf + 93129 87.412 * * [simplify]: Extracting #8: cost 0 inf + 97705 87.434 * [simplify]: Simplified to (* (* (* -2 J) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))))) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) 87.435 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* -2 J) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))))) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) 1)) 87.435 * * * * [progress]: [ 9 / 105 ] simplifiying candidate # 87.435 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J))) 87.435 * * [simplify]: iters left: 6 (24 enodes) 87.442 * * [simplify]: iters left: 5 (101 enodes) 87.469 * * [simplify]: iters left: 4 (233 enodes) 87.540 * * [simplify]: Extracting #0: cost 1 inf + 0 87.540 * * [simplify]: Extracting #1: cost 45 inf + 0 87.540 * * [simplify]: Extracting #2: cost 144 inf + 2 87.541 * * [simplify]: Extracting #3: cost 153 inf + 86 87.541 * * [simplify]: Extracting #4: cost 207 inf + 87 87.544 * * [simplify]: Extracting #5: cost 230 inf + 9565 87.553 * * [simplify]: Extracting #6: cost 88 inf + 53441 87.575 * * [simplify]: Extracting #7: cost 7 inf + 93129 87.597 * * [simplify]: Extracting #8: cost 0 inf + 97705 87.643 * [simplify]: Simplified to (* (* (* -2 J) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))))) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) 87.643 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* -2 J) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))))) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) 1)) 87.643 * * * * [progress]: [ 10 / 105 ] simplifiying candidate # 87.644 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J))) 87.644 * * [simplify]: iters left: 6 (24 enodes) 87.656 * * [simplify]: iters left: 5 (101 enodes) 87.692 * * [simplify]: iters left: 4 (233 enodes) 87.801 * * [simplify]: Extracting #0: cost 1 inf + 0 87.802 * * [simplify]: Extracting #1: cost 45 inf + 0 87.802 * * [simplify]: Extracting #2: cost 144 inf + 2 87.802 * * [simplify]: Extracting #3: cost 153 inf + 86 87.803 * * [simplify]: Extracting #4: cost 207 inf + 87 87.805 * * [simplify]: Extracting #5: cost 230 inf + 9565 87.814 * * [simplify]: Extracting #6: cost 88 inf + 53441 87.833 * * [simplify]: Extracting #7: cost 7 inf + 93129 87.875 * * [simplify]: Extracting #8: cost 0 inf + 97705 87.915 * [simplify]: Simplified to (* (* (* -2 J) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))))) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) 87.915 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* -2 J) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))))) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) 1)) 87.915 * * * * [progress]: [ 11 / 105 ] simplifiying candidate # 87.915 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J))) 87.915 * * [simplify]: iters left: 6 (24 enodes) 87.922 * * [simplify]: iters left: 5 (101 enodes) 87.947 * * [simplify]: iters left: 4 (233 enodes) 88.021 * * [simplify]: Extracting #0: cost 1 inf + 0 88.021 * * [simplify]: Extracting #1: cost 45 inf + 0 88.021 * * [simplify]: Extracting #2: cost 144 inf + 2 88.022 * * [simplify]: Extracting #3: cost 153 inf + 86 88.022 * * [simplify]: Extracting #4: cost 207 inf + 87 88.024 * * [simplify]: Extracting #5: cost 230 inf + 9565 88.033 * * [simplify]: Extracting #6: cost 88 inf + 53441 88.052 * * [simplify]: Extracting #7: cost 7 inf + 93129 88.076 * * [simplify]: Extracting #8: cost 0 inf + 97705 88.099 * [simplify]: Simplified to (* (* (* -2 J) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))))) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) 88.099 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* -2 J) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))))) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) 1)) 88.099 * * * * [progress]: [ 12 / 105 ] simplifiying candidate # 88.099 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J))) 88.100 * * [simplify]: iters left: 6 (24 enodes) 88.107 * * [simplify]: iters left: 5 (101 enodes) 88.134 * * [simplify]: iters left: 4 (233 enodes) 88.238 * * [simplify]: Extracting #0: cost 1 inf + 0 88.238 * * [simplify]: Extracting #1: cost 45 inf + 0 88.239 * * [simplify]: Extracting #2: cost 144 inf + 2 88.240 * * [simplify]: Extracting #3: cost 153 inf + 86 88.241 * * [simplify]: Extracting #4: cost 207 inf + 87 88.245 * * [simplify]: Extracting #5: cost 230 inf + 9565 88.262 * * [simplify]: Extracting #6: cost 88 inf + 53441 88.305 * * [simplify]: Extracting #7: cost 7 inf + 93129 88.342 * * [simplify]: Extracting #8: cost 0 inf + 97705 88.367 * [simplify]: Simplified to (* (* (* -2 J) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))))) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) 88.367 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* -2 J) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))))) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) 1)) 88.367 * * * * [progress]: [ 13 / 105 ] simplifiying candidate # 88.368 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J))) 88.368 * * [simplify]: iters left: 6 (24 enodes) 88.380 * * [simplify]: iters left: 5 (101 enodes) 88.416 * * [simplify]: iters left: 4 (233 enodes) 88.489 * * [simplify]: Extracting #0: cost 1 inf + 0 88.489 * * [simplify]: Extracting #1: cost 45 inf + 0 88.490 * * [simplify]: Extracting #2: cost 144 inf + 2 88.490 * * [simplify]: Extracting #3: cost 153 inf + 86 88.491 * * [simplify]: Extracting #4: cost 207 inf + 87 88.493 * * [simplify]: Extracting #5: cost 230 inf + 9565 88.504 * * [simplify]: Extracting #6: cost 88 inf + 53441 88.540 * * [simplify]: Extracting #7: cost 7 inf + 93129 88.566 * * [simplify]: Extracting #8: cost 0 inf + 97705 88.592 * [simplify]: Simplified to (* (* (* -2 J) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))))) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) 88.592 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* -2 J) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))))) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) 1)) 88.593 * * * * [progress]: [ 14 / 105 ] simplifiying candidate # 88.593 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J))) 88.593 * * [simplify]: iters left: 6 (24 enodes) 88.605 * * [simplify]: iters left: 5 (101 enodes) 88.643 * * [simplify]: iters left: 4 (233 enodes) 88.768 * * [simplify]: Extracting #0: cost 1 inf + 0 88.768 * * [simplify]: Extracting #1: cost 45 inf + 0 88.769 * * [simplify]: Extracting #2: cost 144 inf + 2 88.770 * * [simplify]: Extracting #3: cost 153 inf + 86 88.771 * * [simplify]: Extracting #4: cost 207 inf + 87 88.773 * * [simplify]: Extracting #5: cost 230 inf + 9565 88.782 * * [simplify]: Extracting #6: cost 88 inf + 53441 88.801 * * [simplify]: Extracting #7: cost 7 inf + 93129 88.824 * * [simplify]: Extracting #8: cost 0 inf + 97705 88.855 * [simplify]: Simplified to (* (* (* -2 J) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))))) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) 88.856 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* (* -2 J) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))))) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) 1)) 88.856 * * * * [progress]: [ 15 / 105 ] simplifiying candidate # 88.856 * * * * [progress]: [ 16 / 105 ] simplifiying candidate # 88.856 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (+ (+ (log (cbrt (cos (/ K 2)))) (+ (log (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (log (cbrt (cbrt (cos (/ K 2))))))) (+ (log (cbrt (cos (/ K 2)))) (log J)))) 88.856 * * [simplify]: iters left: 6 (30 enodes) 88.863 * * [simplify]: iters left: 5 (119 enodes) 88.891 * * [simplify]: iters left: 4 (252 enodes) 89.010 * * [simplify]: Extracting #0: cost 1 inf + 0 89.010 * * [simplify]: Extracting #1: cost 46 inf + 0 89.010 * * [simplify]: Extracting #2: cost 154 inf + 0 89.011 * * [simplify]: Extracting #3: cost 162 inf + 144 89.012 * * [simplify]: Extracting #4: cost 165 inf + 468 89.012 * * [simplify]: Extracting #5: cost 218 inf + 651 89.014 * * [simplify]: Extracting #6: cost 236 inf + 10976 89.022 * * [simplify]: Extracting #7: cost 118 inf + 48136 89.049 * * [simplify]: Extracting #8: cost 20 inf + 122016 89.086 * * [simplify]: Extracting #9: cost 0 inf + 136664 89.137 * [simplify]: Simplified to (+ (+ (+ (log (cbrt (cos (/ K 2)))) (log J)) (+ (log (cbrt (cos (/ K 2)))) (+ (log -2) (log (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))))) (+ (log (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (log (cbrt (cbrt (cos (/ K 2))))))) 89.137 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (+ (log (cbrt (cos (/ K 2)))) (log J)) (+ (log (cbrt (cos (/ K 2)))) (+ (log -2) (log (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))))) (+ (log (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (log (cbrt (cbrt (cos (/ K 2))))))))) 89.137 * * * * [progress]: [ 17 / 105 ] simplifiying candidate # 89.138 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (+ (+ (log (cbrt (cos (/ K 2)))) (+ (log (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (log (cbrt (cbrt (cos (/ K 2))))))) (log (* (cbrt (cos (/ K 2))) J)))) 89.138 * * [simplify]: iters left: 6 (30 enodes) 89.145 * * [simplify]: iters left: 5 (119 enodes) 89.172 * * [simplify]: iters left: 4 (239 enodes) 89.245 * * [simplify]: Extracting #0: cost 1 inf + 0 89.246 * * [simplify]: Extracting #1: cost 46 inf + 0 89.246 * * [simplify]: Extracting #2: cost 148 inf + 0 89.246 * * [simplify]: Extracting #3: cost 157 inf + 144 89.247 * * [simplify]: Extracting #4: cost 161 inf + 397 89.248 * * [simplify]: Extracting #5: cost 213 inf + 651 89.250 * * [simplify]: Extracting #6: cost 228 inf + 11413 89.257 * * [simplify]: Extracting #7: cost 117 inf + 45639 89.276 * * [simplify]: Extracting #8: cost 21 inf + 112770 89.328 * * [simplify]: Extracting #9: cost 0 inf + 130646 89.381 * * [simplify]: Extracting #10: cost 0 inf + 130576 89.415 * [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)))))) (+ (+ (log (cbrt (cos (/ K 2)))) (log J)) (+ (log (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (log (cbrt (cbrt (cos (/ K 2)))))))) 89.415 * [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)))))) (+ (+ (log (cbrt (cos (/ K 2)))) (log J)) (+ (log (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (log (cbrt (cbrt (cos (/ K 2)))))))))) 89.415 * * * * [progress]: [ 18 / 105 ] simplifiying candidate # 89.415 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (+ (+ (log (cbrt (cos (/ K 2)))) (log (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (+ (log (cbrt (cos (/ K 2)))) (log J)))) 89.415 * * [simplify]: iters left: 6 (29 enodes) 89.423 * * [simplify]: iters left: 5 (117 enodes) 89.457 * * [simplify]: iters left: 4 (243 enodes) 89.540 * * [simplify]: Extracting #0: cost 1 inf + 0 89.540 * * [simplify]: Extracting #1: cost 38 inf + 0 89.541 * * [simplify]: Extracting #2: cost 126 inf + 0 89.541 * * [simplify]: Extracting #3: cost 135 inf + 215 89.542 * * [simplify]: Extracting #4: cost 139 inf + 650 89.542 * * [simplify]: Extracting #5: cost 194 inf + 651 89.544 * * [simplify]: Extracting #6: cost 221 inf + 8028 89.554 * * [simplify]: Extracting #7: cost 74 inf + 60424 89.580 * * [simplify]: Extracting #8: cost 1 inf + 114127 89.627 * * [simplify]: Extracting #9: cost 0 inf + 114996 89.651 * [simplify]: Simplified to (+ (+ (+ (log (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (+ (log J) (+ (log (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (log (cbrt (cos (/ K 2))))))) (log (cbrt (cos (/ K 2))))) (log -2)) 89.651 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (+ (log (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (+ (log J) (+ (log (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (log (cbrt (cos (/ K 2))))))) (log (cbrt (cos (/ K 2))))) (log -2)))) 89.651 * * * * [progress]: [ 19 / 105 ] simplifiying candidate # 89.651 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (+ (+ (log (cbrt (cos (/ K 2)))) (log (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (log (* (cbrt (cos (/ K 2))) J)))) 89.651 * * [simplify]: iters left: 6 (29 enodes) 89.659 * * [simplify]: iters left: 5 (117 enodes) 89.682 * * [simplify]: iters left: 4 (231 enodes) 89.751 * * [simplify]: Extracting #0: cost 1 inf + 0 89.751 * * [simplify]: Extracting #1: cost 37 inf + 0 89.752 * * [simplify]: Extracting #2: cost 121 inf + 0 89.752 * * [simplify]: Extracting #3: cost 130 inf + 144 89.753 * * [simplify]: Extracting #4: cost 134 inf + 579 89.753 * * [simplify]: Extracting #5: cost 188 inf + 651 89.755 * * [simplify]: Extracting #6: cost 213 inf + 8708 89.766 * * [simplify]: Extracting #7: cost 71 inf + 58708 89.792 * * [simplify]: Extracting #8: cost 1 inf + 107958 89.836 * * [simplify]: Extracting #9: cost 0 inf + 109064 89.858 * [simplify]: Simplified to (+ (+ (log (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (+ (log (cbrt (cos (/ K 2)))) (log -2))) (+ (log (* J (cbrt (cos (/ K 2))))) (log (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))))) 89.859 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (log (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (+ (log (cbrt (cos (/ K 2)))) (log -2))) (+ (log (* J (cbrt (cos (/ K 2))))) (log (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))))))) 89.859 * * * * [progress]: [ 20 / 105 ] simplifiying candidate # 89.859 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (+ (log (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (+ (log (cbrt (cos (/ K 2)))) (log J)))) 89.859 * * [simplify]: iters left: 6 (29 enodes) 89.866 * * [simplify]: iters left: 5 (116 enodes) 89.905 * * [simplify]: iters left: 4 (233 enodes) 89.976 * * [simplify]: Extracting #0: cost 1 inf + 0 89.976 * * [simplify]: Extracting #1: cost 31 inf + 0 89.976 * * [simplify]: Extracting #2: cost 113 inf + 0 89.976 * * [simplify]: Extracting #3: cost 122 inf + 326 89.977 * * [simplify]: Extracting #4: cost 128 inf + 650 89.977 * * [simplify]: Extracting #5: cost 183 inf + 651 89.979 * * [simplify]: Extracting #6: cost 206 inf + 9111 89.987 * * [simplify]: Extracting #7: cost 76 inf + 49125 90.019 * * [simplify]: Extracting #8: cost 12 inf + 94875 90.054 * * [simplify]: Extracting #9: cost 0 inf + 104509 90.075 * * [simplify]: Extracting #10: cost 0 inf + 104439 90.117 * [simplify]: Simplified to (+ (+ (+ (+ (log J) (log (cbrt (cos (/ K 2))))) (+ (log -2) (log (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))))) (log (cbrt (cos (/ K 2))))) (log (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) 90.117 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (+ (+ (log J) (log (cbrt (cos (/ K 2))))) (+ (log -2) (log (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))))) (log (cbrt (cos (/ K 2))))) (log (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))))) 90.118 * * * * [progress]: [ 21 / 105 ] simplifiying candidate # 90.118 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (+ (log (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (log (* (cbrt (cos (/ K 2))) J)))) 90.118 * * [simplify]: iters left: 6 (28 enodes) 90.133 * * [simplify]: iters left: 5 (114 enodes) 90.166 * * [simplify]: iters left: 4 (224 enodes) 90.234 * * [simplify]: Extracting #0: cost 1 inf + 0 90.234 * * [simplify]: Extracting #1: cost 29 inf + 0 90.234 * * [simplify]: Extracting #2: cost 103 inf + 0 90.235 * * [simplify]: Extracting #3: cost 116 inf + 73 90.236 * * [simplify]: Extracting #4: cost 121 inf + 468 90.237 * * [simplify]: Extracting #5: cost 175 inf + 651 90.239 * * [simplify]: Extracting #6: cost 208 inf + 6575 90.253 * * [simplify]: Extracting #7: cost 91 inf + 38635 90.265 * * [simplify]: Extracting #8: cost 25 inf + 75369 90.282 * * [simplify]: Extracting #9: cost 1 inf + 94966 90.314 * * [simplify]: Extracting #10: cost 0 inf + 95932 90.352 * [simplify]: Simplified to (+ (log (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (+ (+ (log -2) (log (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (log (* J (cbrt (cos (/ K 2))))))) 90.352 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (+ (+ (log -2) (log (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (log (* J (cbrt (cos (/ K 2))))))))) 90.352 * * * * [progress]: [ 22 / 105 ] simplifiying candidate # 90.352 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (log (* (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J)))) 90.353 * * [simplify]: iters left: 6 (27 enodes) 90.367 * * [simplify]: iters left: 5 (111 enodes) 90.406 * * [simplify]: iters left: 4 (232 enodes) 90.475 * * [simplify]: Extracting #0: cost 1 inf + 0 90.475 * * [simplify]: Extracting #1: cost 19 inf + 0 90.475 * * [simplify]: Extracting #2: cost 76 inf + 0 90.476 * * [simplify]: Extracting #3: cost 107 inf + 144 90.477 * * [simplify]: Extracting #4: cost 126 inf + 468 90.478 * * [simplify]: Extracting #5: cost 181 inf + 469 90.481 * * [simplify]: Extracting #6: cost 200 inf + 10062 90.498 * * [simplify]: Extracting #7: cost 60 inf + 50165 90.514 * * [simplify]: Extracting #8: cost 6 inf + 82537 90.537 * * [simplify]: Extracting #9: cost 0 inf + 86574 90.570 * [simplify]: Simplified to (+ (+ (log (* (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))) (* J (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))))) (log (sqrt (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))))))) (log -2)) 90.570 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (log (* (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))) (* J (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))))) (log (sqrt (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))))))) (log -2)))) 90.570 * * * * [progress]: [ 23 / 105 ] simplifiying candidate # 90.571 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (+ (+ (log (cbrt (cos (/ K 2)))) (+ (log (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (log (cbrt (cbrt (cos (/ K 2))))))) (+ (log (cbrt (cos (/ K 2)))) (log J)))) 90.571 * * [simplify]: iters left: 6 (29 enodes) 90.585 * * [simplify]: iters left: 5 (117 enodes) 90.624 * * [simplify]: iters left: 4 (242 enodes) 90.724 * * [simplify]: Extracting #0: cost 1 inf + 0 90.724 * * [simplify]: Extracting #1: cost 44 inf + 0 90.724 * * [simplify]: Extracting #2: cost 134 inf + 0 90.725 * * [simplify]: Extracting #3: cost 142 inf + 73 90.725 * * [simplify]: Extracting #4: cost 143 inf + 650 90.726 * * [simplify]: Extracting #5: cost 197 inf + 651 90.728 * * [simplify]: Extracting #6: cost 220 inf + 8793 90.737 * * [simplify]: Extracting #7: cost 78 inf + 58158 90.774 * * [simplify]: Extracting #8: cost 12 inf + 108833 90.808 * * [simplify]: Extracting #9: cost 0 inf + 118240 90.842 * [simplify]: Simplified to (+ (log (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (+ (+ (log (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cbrt (cos (/ K 2))))))) (+ (log J) (log (cbrt (cos (/ K 2))))))) 90.843 * [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 (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cbrt (cos (/ K 2))))))) (+ (log J) (log (cbrt (cos (/ K 2))))))))) 90.843 * * * * [progress]: [ 24 / 105 ] simplifiying candidate # 90.843 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (+ (+ (log (cbrt (cos (/ K 2)))) (+ (log (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (log (cbrt (cbrt (cos (/ K 2))))))) (log (* (cbrt (cos (/ K 2))) J)))) 90.844 * * [simplify]: iters left: 6 (29 enodes) 90.858 * * [simplify]: iters left: 5 (117 enodes) 90.898 * * [simplify]: iters left: 4 (231 enodes) 91.001 * * [simplify]: Extracting #0: cost 1 inf + 0 91.001 * * [simplify]: Extracting #1: cost 43 inf + 0 91.002 * * [simplify]: Extracting #2: cost 124 inf + 0 91.003 * * [simplify]: Extracting #3: cost 134 inf + 73 91.004 * * [simplify]: Extracting #4: cost 137 inf + 286 91.005 * * [simplify]: Extracting #5: cost 191 inf + 287 91.008 * * [simplify]: Extracting #6: cost 218 inf + 8022 91.021 * * [simplify]: Extracting #7: cost 100 inf + 41807 91.050 * * [simplify]: Extracting #8: cost 33 inf + 83722 91.092 * * [simplify]: Extracting #9: cost 0 inf + 111517 91.116 * [simplify]: Simplified to (+ (+ (+ (log (cbrt (cos (/ K 2)))) (log (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))))) (log (cbrt (cbrt (cos (/ K 2)))))) (+ (log (* (cbrt (cos (/ K 2))) J)) (log (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))))) 91.116 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (+ (log (cbrt (cos (/ K 2)))) (log (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))))) (log (cbrt (cbrt (cos (/ K 2)))))) (+ (log (* (cbrt (cos (/ K 2))) J)) (log (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))))))) 91.116 * * * * [progress]: [ 25 / 105 ] simplifiying candidate # 91.117 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (+ (+ (log (cbrt (cos (/ K 2)))) (log (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (+ (log (cbrt (cos (/ K 2)))) (log J)))) 91.117 * * [simplify]: iters left: 6 (28 enodes) 91.127 * * [simplify]: iters left: 5 (115 enodes) 91.166 * * [simplify]: iters left: 4 (233 enodes) 91.249 * * [simplify]: Extracting #0: cost 1 inf + 0 91.249 * * [simplify]: Extracting #1: cost 36 inf + 0 91.250 * * [simplify]: Extracting #2: cost 113 inf + 0 91.250 * * [simplify]: Extracting #3: cost 122 inf + 144 91.251 * * [simplify]: Extracting #4: cost 125 inf + 650 91.251 * * [simplify]: Extracting #5: cost 180 inf + 651 91.253 * * [simplify]: Extracting #6: cost 207 inf + 8439 91.259 * * [simplify]: Extracting #7: cost 88 inf + 44243 91.291 * * [simplify]: Extracting #8: cost 22 inf + 83346 91.312 * * [simplify]: Extracting #9: cost 0 inf + 101899 91.346 * [simplify]: Simplified to (+ (+ (+ (log (* -2 (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (log (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (+ (log (cbrt (cos (/ K 2)))) (log J))) (log (cbrt (cos (/ K 2))))) 91.346 * [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 (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (+ (log (cbrt (cos (/ K 2)))) (log J))) (log (cbrt (cos (/ K 2))))))) 91.346 * * * * [progress]: [ 26 / 105 ] simplifiying candidate # 91.346 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (+ (+ (log (cbrt (cos (/ K 2)))) (log (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (log (* (cbrt (cos (/ K 2))) J)))) 91.347 * * [simplify]: iters left: 6 (28 enodes) 91.361 * * [simplify]: iters left: 5 (115 enodes) 91.399 * * [simplify]: iters left: 4 (223 enodes) 91.466 * * [simplify]: Extracting #0: cost 1 inf + 0 91.466 * * [simplify]: Extracting #1: cost 35 inf + 0 91.467 * * [simplify]: Extracting #2: cost 106 inf + 0 91.467 * * [simplify]: Extracting #3: cost 116 inf + 73 91.467 * * [simplify]: Extracting #4: cost 121 inf + 215 91.468 * * [simplify]: Extracting #5: cost 175 inf + 287 91.469 * * [simplify]: Extracting #6: cost 221 inf + 2330 91.473 * * [simplify]: Extracting #7: cost 125 inf + 24669 91.482 * * [simplify]: Extracting #8: cost 48 inf + 59506 91.499 * * [simplify]: Extracting #9: cost 3 inf + 94526 91.537 * * [simplify]: Extracting #10: cost 0 inf + 96540 91.560 * [simplify]: Simplified to (+ (+ (log (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))))) (log (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (+ (log J) (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2))))))) 91.560 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (log (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))))) (log (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (+ (log J) (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2))))))))) 91.560 * * * * [progress]: [ 27 / 105 ] simplifiying candidate # 91.561 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (+ (log (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (+ (log (cbrt (cos (/ K 2)))) (log J)))) 91.561 * * [simplify]: iters left: 6 (28 enodes) 91.568 * * [simplify]: iters left: 5 (114 enodes) 91.587 * * [simplify]: iters left: 4 (225 enodes) 91.657 * * [simplify]: Extracting #0: cost 1 inf + 0 91.657 * * [simplify]: Extracting #1: cost 29 inf + 0 91.657 * * [simplify]: Extracting #2: cost 101 inf + 0 91.658 * * [simplify]: Extracting #3: cost 111 inf + 144 91.658 * * [simplify]: Extracting #4: cost 116 inf + 650 91.658 * * [simplify]: Extracting #5: cost 171 inf + 651 91.659 * * [simplify]: Extracting #6: cost 230 inf + 738 91.662 * * [simplify]: Extracting #7: cost 158 inf + 15649 91.677 * * [simplify]: Extracting #8: cost 60 inf + 49726 91.707 * * [simplify]: Extracting #9: cost 8 inf + 87126 91.730 * * [simplify]: Extracting #10: cost 0 inf + 93119 91.751 * [simplify]: Simplified to (+ (+ (log (cbrt (cos (/ K 2)))) (+ (log J) (log (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))))))) (log (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) (cbrt (cbrt (cos (/ K 2)))))))) 91.752 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (log (cbrt (cos (/ K 2)))) (+ (log J) (log (* -2 (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))))))) (log (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) (cbrt (cbrt (cos (/ K 2)))))))))) 91.752 * * * * [progress]: [ 28 / 105 ] simplifiying candidate # 91.752 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (+ (log (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (log (* (cbrt (cos (/ K 2))) J)))) 91.753 * * [simplify]: iters left: 6 (27 enodes) 91.767 * * [simplify]: iters left: 5 (112 enodes) 91.788 * * [simplify]: iters left: 4 (218 enodes) 91.865 * * [simplify]: Extracting #0: cost 1 inf + 0 91.865 * * [simplify]: Extracting #1: cost 27 inf + 0 91.866 * * [simplify]: Extracting #2: cost 91 inf + 0 91.867 * * [simplify]: Extracting #3: cost 104 inf + 144 91.868 * * [simplify]: Extracting #4: cost 111 inf + 286 91.868 * * [simplify]: Extracting #5: cost 166 inf + 287 91.870 * * [simplify]: Extracting #6: cost 216 inf + 2041 91.875 * * [simplify]: Extracting #7: cost 123 inf + 22917 91.883 * * [simplify]: Extracting #8: cost 55 inf + 48219 91.896 * * [simplify]: Extracting #9: cost 14 inf + 75872 91.919 * * [simplify]: Extracting #10: cost 0 inf + 86069 91.947 * [simplify]: Simplified to (+ (+ (log (* (cbrt (cos (/ K 2))) J)) (log (* -2 (sqrt (+ 1 (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2))))))))))) (log (* (* (cbrt (cos (/ K 2))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))))) 91.948 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (log (* (cbrt (cos (/ K 2))) J)) (log (* -2 (sqrt (+ 1 (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2))))))))))) (log (* (* (cbrt (cos (/ K 2))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))))))) 91.948 * * * * [progress]: [ 29 / 105 ] simplifiying candidate # 91.948 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (log (* (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J)))) 91.949 * * [simplify]: iters left: 6 (26 enodes) 91.961 * * [simplify]: iters left: 5 (109 enodes) 91.996 * * [simplify]: iters left: 4 (229 enodes) 92.092 * * [simplify]: Extracting #0: cost 1 inf + 0 92.092 * * [simplify]: Extracting #1: cost 19 inf + 0 92.092 * * [simplify]: Extracting #2: cost 70 inf + 0 92.093 * * [simplify]: Extracting #3: cost 101 inf + 2 92.094 * * [simplify]: Extracting #4: cost 121 inf + 144 92.094 * * [simplify]: Extracting #5: cost 173 inf + 287 92.097 * * [simplify]: Extracting #6: cost 219 inf + 2552 92.104 * * [simplify]: Extracting #7: cost 125 inf + 23671 92.119 * * [simplify]: Extracting #8: cost 69 inf + 41435 92.139 * * [simplify]: Extracting #9: cost 33 inf + 58374 92.169 * * [simplify]: Extracting #10: cost 3 inf + 77550 92.200 * * [simplify]: Extracting #11: cost 0 inf + 80147 92.219 * [simplify]: Simplified to (+ (log (* (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) J)) (log (* -2 (sqrt (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J)))))))) 92.220 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log (* (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) J)) (log (* -2 (sqrt (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J)))))))))) 92.220 * * * * [progress]: [ 30 / 105 ] simplifiying candidate # 92.220 * * * * [progress]: [ 31 / 105 ] simplifiying candidate # 92.220 * * * * [progress]: [ 32 / 105 ] simplifiying candidate # 92.220 * [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)) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) (* (cos (/ K 2)) (* (* J J) J)))) 92.221 * * [simplify]: iters left: 6 (28 enodes) 92.237 * * [simplify]: iters left: 5 (121 enodes) 92.289 * * [simplify]: iters left: 4 (338 enodes) 92.521 * * [simplify]: Extracting #0: cost 1 inf + 0 92.521 * * [simplify]: Extracting #1: cost 98 inf + 0 92.522 * * [simplify]: Extracting #2: cost 451 inf + 126 92.527 * * [simplify]: Extracting #3: cost 573 inf + 982 92.531 * * [simplify]: Extracting #4: cost 599 inf + 12716 92.550 * * [simplify]: Extracting #5: cost 361 inf + 72789 92.586 * * [simplify]: Extracting #6: cost 117 inf + 175467 92.667 * * [simplify]: Extracting #7: cost 0 inf + 236436 92.776 * * [simplify]: Extracting #8: cost 0 inf + 236356 92.858 * [simplify]: Simplified to (* (* (* (* (cos (/ K 2)) (cos (/ K 2))) (* (* (+ 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))))))) (* (cos (/ K 2)) J)) (* J J)) 92.858 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (* (cos (/ K 2)) (cos (/ K 2))) (* (* (+ 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))))))) (* (cos (/ K 2)) J)) (* J J)))) 92.858 * * * * [progress]: [ 33 / 105 ] simplifiying candidate # 92.858 * [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)) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) (* (* (* (cbrt (cos (/ K 2))) J) (* (cbrt (cos (/ K 2))) J)) (* (cbrt (cos (/ K 2))) J)))) 92.859 * * [simplify]: iters left: 6 (28 enodes) 92.866 * * [simplify]: iters left: 5 (127 enodes) 92.903 * * [simplify]: iters left: 4 (383 enodes) 93.209 * * [simplify]: Extracting #0: cost 1 inf + 0 93.209 * * [simplify]: Extracting #1: cost 106 inf + 0 93.210 * * [simplify]: Extracting #2: cost 468 inf + 4 93.212 * * [simplify]: Extracting #3: cost 607 inf + 128 93.217 * * [simplify]: Extracting #4: cost 637 inf + 12469 93.241 * * [simplify]: Extracting #5: cost 387 inf + 77287 93.303 * * [simplify]: Extracting #6: cost 131 inf + 184190 93.384 * * [simplify]: Extracting #7: cost 1 inf + 256134 93.475 * * [simplify]: Extracting #8: cost 0 inf + 256760 93.545 * [simplify]: Simplified to (* (* (* (* (* J (cos (/ K 2))) (* J (* J (cos (/ K 2))))) (cos (/ K 2))) -8) (* (+ 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)))))))) 93.545 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (* (* J (cos (/ K 2))) (* J (* J (cos (/ K 2))))) (cos (/ K 2))) -8) (* (+ 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)))))))))) 93.545 * * * * [progress]: [ 34 / 105 ] simplifiying candidate # 93.546 * [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)) (* (* (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (* (cos (/ K 2)) (* (* J J) J)))) 93.546 * * [simplify]: iters left: 6 (32 enodes) 93.562 * * [simplify]: iters left: 5 (143 enodes) 93.597 * * [simplify]: iters left: 4 (414 enodes) 93.889 * * [simplify]: Extracting #0: cost 1 inf + 0 93.889 * * [simplify]: Extracting #1: cost 99 inf + 0 93.892 * * [simplify]: Extracting #2: cost 558 inf + 4 93.895 * * [simplify]: Extracting #3: cost 711 inf + 250 93.901 * * [simplify]: Extracting #4: cost 669 inf + 22842 93.919 * * [simplify]: Extracting #5: cost 442 inf + 107931 94.014 * * [simplify]: Extracting #6: cost 104 inf + 350009 94.187 * * [simplify]: Extracting #7: cost 0 inf + 412024 94.371 * * [simplify]: Extracting #8: cost 0 inf + 411253 94.559 * [simplify]: Simplified to (* (* (* (* (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) -8) (* (* (* J J) (cos (/ K 2))) (* (cos (/ K 2)) J))) (* (* (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) 94.559 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (* (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) -8) (* (* (* J J) (cos (/ K 2))) (* (cos (/ K 2)) J))) (* (* (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))))) 94.559 * * * * [progress]: [ 35 / 105 ] simplifiying candidate # 94.559 * [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)) (* (* (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (* (* (* (cbrt (cos (/ K 2))) J) (* (cbrt (cos (/ K 2))) J)) (* (cbrt (cos (/ K 2))) J)))) 94.560 * * [simplify]: iters left: 6 (32 enodes) 94.569 * * [simplify]: iters left: 5 (149 enodes) 94.624 * * [simplify]: iters left: 4 (460 enodes) 95.044 * * [simplify]: Extracting #0: cost 1 inf + 0 95.044 * * [simplify]: Extracting #1: cost 115 inf + 0 95.046 * * [simplify]: Extracting #2: cost 665 inf + 45 95.049 * * [simplify]: Extracting #3: cost 853 inf + 250 95.053 * * [simplify]: Extracting #4: cost 905 inf + 633 95.060 * * [simplify]: Extracting #5: cost 846 inf + 11168 95.090 * * [simplify]: Extracting #6: cost 660 inf + 77165 95.187 * * [simplify]: Extracting #7: cost 186 inf + 374774 95.376 * * [simplify]: Extracting #8: cost 0 inf + 504899 95.578 * * [simplify]: Extracting #9: cost 0 inf + 503979 95.796 * [simplify]: Simplified to (* -8 (* (* (* (* (* J (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2))))) (* (* J (cbrt (cos (/ K 2)))) (cos (/ K 2)))) (* (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (* (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))) (* (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))) 95.796 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* -8 (* (* (* (* (* J (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2))))) (* (* J (cbrt (cos (/ K 2)))) (cos (/ K 2)))) (* (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (* (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))) (* (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))) 95.796 * * * * [progress]: [ 36 / 105 ] simplifiying candidate # 95.797 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* -2 -2) -2)) (* (* (* (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (* (cos (/ K 2)) (* (* J J) J)))) 95.797 * * [simplify]: iters left: 6 (32 enodes) 95.806 * * [simplify]: iters left: 5 (142 enodes) 95.843 * * [simplify]: iters left: 4 (444 enodes) 96.296 * * [simplify]: Extracting #0: cost 1 inf + 0 96.297 * * [simplify]: Extracting #1: cost 112 inf + 0 96.299 * * [simplify]: Extracting #2: cost 740 inf + 4 96.302 * * [simplify]: Extracting #3: cost 906 inf + 1271 96.307 * * [simplify]: Extracting #4: cost 951 inf + 1629 96.312 * * [simplify]: Extracting #5: cost 881 inf + 17005 96.341 * * [simplify]: Extracting #6: cost 670 inf + 103384 96.429 * * [simplify]: Extracting #7: cost 353 inf + 309048 96.595 * * [simplify]: Extracting #8: cost 47 inf + 512936 96.822 * * [simplify]: Extracting #9: cost 0 inf + 540892 97.011 * * [simplify]: Extracting #10: cost 0 inf + 540532 97.238 * [simplify]: Simplified to (* (* (* (* (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) (cbrt (cbrt (cos (/ K 2)))))) (* (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) (cbrt (cbrt (cos (/ K 2)))))))) (* (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* -8 (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (* (cos (/ K 2)) J)) (* J J)) 97.238 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (* (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) (cbrt (cbrt (cos (/ K 2)))))) (* (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) (cbrt (cbrt (cos (/ K 2)))))))) (* (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* -8 (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (* (cos (/ K 2)) J)) (* J J)))) 97.238 * * * * [progress]: [ 37 / 105 ] simplifiying candidate # 97.239 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* -2 -2) -2)) (* (* (* (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (* (* (* (cbrt (cos (/ K 2))) J) (* (cbrt (cos (/ K 2))) J)) (* (cbrt (cos (/ K 2))) J)))) 97.239 * * [simplify]: iters left: 6 (32 enodes) 97.256 * * [simplify]: iters left: 5 (148 enodes) 97.326 * * [simplify]: iters left: 4 (486 enodes) 98.189 * * [simplify]: Extracting #0: cost 1 inf + 0 98.189 * * [simplify]: Extracting #1: cost 128 inf + 0 98.194 * * [simplify]: Extracting #2: cost 786 inf + 45 98.198 * * [simplify]: Extracting #3: cost 972 inf + 462 98.203 * * [simplify]: Extracting #4: cost 1027 inf + 756 98.208 * * [simplify]: Extracting #5: cost 1009 inf + 2198 98.220 * * [simplify]: Extracting #6: cost 935 inf + 21804 98.262 * * [simplify]: Extracting #7: cost 718 inf + 106867 98.391 * * [simplify]: Extracting #8: cost 297 inf + 382298 98.640 * * [simplify]: Extracting #9: cost 0 inf + 607315 98.912 * * [simplify]: Extracting #10: cost 0 inf + 600266 99.208 * * [simplify]: Extracting #11: cost 0 inf + 596146 99.423 * * [simplify]: Extracting #12: cost 0 inf + 596066 99.687 * [simplify]: Simplified to (* (* (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) J) (* (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) J) (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) J))) (* -8 (* (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) 99.687 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) J) (* (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) J) (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) J))) (* -8 (* (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))) 99.687 * * * * [progress]: [ 38 / 105 ] simplifiying candidate # 99.687 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* -2 -2) -2)) (* (* (* (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J)) (* (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J))) (* (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J)))) 99.688 * * [simplify]: iters left: 6 (30 enodes) 99.696 * * [simplify]: iters left: 5 (134 enodes) 99.727 * * [simplify]: iters left: 4 (445 enodes) 100.151 * * [simplify]: Extracting #0: cost 1 inf + 0 100.151 * * [simplify]: Extracting #1: cost 121 inf + 0 100.154 * * [simplify]: Extracting #2: cost 699 inf + 4 100.158 * * [simplify]: Extracting #3: cost 873 inf + 88 100.162 * * [simplify]: Extracting #4: cost 928 inf + 553 100.166 * * [simplify]: Extracting #5: cost 910 inf + 1833 100.173 * * [simplify]: Extracting #6: cost 837 inf + 19778 100.200 * * [simplify]: Extracting #7: cost 609 inf + 113641 100.337 * * [simplify]: Extracting #8: cost 162 inf + 425784 100.561 * * [simplify]: Extracting #9: cost 1 inf + 528698 100.765 * * [simplify]: Extracting #10: cost 0 inf + 527481 100.972 * [simplify]: Simplified to (* -8 (* (* (* (* (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))) J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (* (* (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))) J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (* (* (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))) J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))))) 100.972 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* -8 (* (* (* (* (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))) J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (* (* (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))) J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (* (* (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))) J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))))))) 100.972 * * * * [progress]: [ 39 / 105 ] simplifiying candidate # 100.972 * [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)) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) (* (cos (/ K 2)) (* (* J J) J)))) 100.972 * * [simplify]: iters left: 6 (26 enodes) 100.980 * * [simplify]: iters left: 5 (121 enodes) 101.012 * * [simplify]: iters left: 4 (320 enodes) 101.217 * * [simplify]: Extracting #0: cost 1 inf + 0 101.217 * * [simplify]: Extracting #1: cost 66 inf + 0 101.218 * * [simplify]: Extracting #2: cost 371 inf + 124 101.220 * * [simplify]: Extracting #3: cost 406 inf + 493 101.224 * * [simplify]: Extracting #4: cost 419 inf + 9236 101.253 * * [simplify]: Extracting #5: cost 289 inf + 95114 101.302 * * [simplify]: Extracting #6: cost 18 inf + 197150 101.351 * * [simplify]: Extracting #7: cost 0 inf + 201941 101.436 * * [simplify]: Extracting #8: cost 0 inf + 201819 101.519 * [simplify]: Simplified to (* (* -8 (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))) (* (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))) (* (cos (/ K 2)) (cos (/ K 2)))) (* (cos (/ K 2)) (* J (* J J))))) 101.519 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* -8 (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))) (* (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))) (* (cos (/ K 2)) (cos (/ K 2)))) (* (cos (/ K 2)) (* J (* J J))))))) 101.520 * * * * [progress]: [ 40 / 105 ] simplifiying candidate # 101.520 * [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)) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) (* (* (* (cbrt (cos (/ K 2))) J) (* (cbrt (cos (/ K 2))) J)) (* (cbrt (cos (/ K 2))) J)))) 101.521 * * [simplify]: iters left: 6 (26 enodes) 101.533 * * [simplify]: iters left: 5 (127 enodes) 101.561 * * [simplify]: iters left: 4 (365 enodes) 101.747 * * [simplify]: Extracting #0: cost 1 inf + 0 101.748 * * [simplify]: Extracting #1: cost 74 inf + 0 101.750 * * [simplify]: Extracting #2: cost 401 inf + 43 101.754 * * [simplify]: Extracting #3: cost 440 inf + 249 101.758 * * [simplify]: Extracting #4: cost 481 inf + 3049 101.791 * * [simplify]: Extracting #5: cost 360 inf + 84191 101.891 * * [simplify]: Extracting #6: cost 20 inf + 217354 101.988 * * [simplify]: Extracting #7: cost 0 inf + 224710 102.068 * * [simplify]: Extracting #8: cost 0 inf + 224588 102.151 * [simplify]: Simplified to (* (* (* (sqrt (+ 1 (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))))) (* (cos (/ K 2)) (cos (/ K 2)))) (* (* J J) (* J (cos (/ K 2))))) (* -8 (+ 1 (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2)))))) 102.152 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (sqrt (+ 1 (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))))) (* (cos (/ K 2)) (cos (/ K 2)))) (* (* J J) (* J (cos (/ K 2))))) (* -8 (+ 1 (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2)))))))) 102.152 * * * * [progress]: [ 41 / 105 ] simplifiying candidate # 102.152 * [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)) (* (* (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (* (cos (/ K 2)) (* (* J J) J)))) 102.153 * * [simplify]: iters left: 6 (30 enodes) 102.169 * * [simplify]: iters left: 5 (143 enodes) 102.214 * * [simplify]: iters left: 4 (396 enodes) 102.470 * * [simplify]: Extracting #0: cost 1 inf + 0 102.470 * * [simplify]: Extracting #1: cost 83 inf + 0 102.471 * * [simplify]: Extracting #2: cost 477 inf + 44 102.473 * * [simplify]: Extracting #3: cost 584 inf + 413 102.480 * * [simplify]: Extracting #4: cost 527 inf + 34371 102.535 * * [simplify]: Extracting #5: cost 267 inf + 163769 102.637 * * [simplify]: Extracting #6: cost 13 inf + 349506 102.769 * * [simplify]: Extracting #7: cost 0 inf + 355205 102.937 * * [simplify]: Extracting #8: cost 0 inf + 354965 103.096 * [simplify]: Simplified to (* (* (* (* (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))) (* (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) -8)) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (* (* J (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))) 103.096 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (* (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))) (* (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) -8)) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (* (* J (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))))) 103.096 * * * * [progress]: [ 42 / 105 ] simplifiying candidate # 103.096 * [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)) (* (* (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (* (* (* (cbrt (cos (/ K 2))) J) (* (cbrt (cos (/ K 2))) J)) (* (cbrt (cos (/ K 2))) J)))) 103.096 * * [simplify]: iters left: 6 (30 enodes) 103.105 * * [simplify]: iters left: 5 (149 enodes) 103.149 * * [simplify]: iters left: 4 (442 enodes) 103.441 * * [simplify]: Extracting #0: cost 1 inf + 0 103.441 * * [simplify]: Extracting #1: cost 102 inf + 0 103.442 * * [simplify]: Extracting #2: cost 602 inf + 3 103.450 * * [simplify]: Extracting #3: cost 735 inf + 462 103.453 * * [simplify]: Extracting #4: cost 790 inf + 550 103.458 * * [simplify]: Extracting #5: cost 718 inf + 14806 103.475 * * [simplify]: Extracting #6: cost 578 inf + 66676 103.553 * * [simplify]: Extracting #7: cost 226 inf + 300096 103.728 * * [simplify]: Extracting #8: cost 1 inf + 462867 103.899 * * [simplify]: Extracting #9: cost 0 inf + 461091 104.089 * [simplify]: Simplified to (* (* (* (* (* (* J (cbrt (cos (/ K 2)))) (* (* J (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2)))))) (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (* (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))) 104.089 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (* (* (* J (cbrt (cos (/ K 2)))) (* (* J (cbrt (cos (/ K 2)))) (* J (cbrt (cos (/ K 2)))))) (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (* (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))))) 104.089 * * * * [progress]: [ 43 / 105 ] simplifiying candidate # 104.089 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (* (* (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (* (cos (/ K 2)) (* (* J J) J)))) 104.090 * * [simplify]: iters left: 6 (30 enodes) 104.103 * * [simplify]: iters left: 5 (142 enodes) 104.160 * * [simplify]: iters left: 4 (426 enodes) 104.477 * * [simplify]: Extracting #0: cost 1 inf + 0 104.477 * * [simplify]: Extracting #1: cost 101 inf + 0 104.479 * * [simplify]: Extracting #2: cost 661 inf + 44 104.483 * * [simplify]: Extracting #3: cost 773 inf + 372 104.487 * * [simplify]: Extracting #4: cost 820 inf + 879 104.502 * * [simplify]: Extracting #5: cost 731 inf + 21519 104.536 * * [simplify]: Extracting #6: cost 568 inf + 82905 104.643 * * [simplify]: Extracting #7: cost 229 inf + 316000 104.812 * * [simplify]: Extracting #8: cost 1 inf + 488819 105.005 * * [simplify]: Extracting #9: cost 0 inf + 485045 105.233 * * [simplify]: Extracting #10: cost 0 inf + 485005 105.489 * [simplify]: Simplified to (* (* (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) (* (* J (* (cos (/ K 2)) J)) (* J (* (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))))) (* (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))))) 105.489 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) (* (* J (* (cos (/ K 2)) J)) (* J (* (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))))) (* (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))))))) 105.490 * * * * [progress]: [ 44 / 105 ] simplifiying candidate # 105.490 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (* (* (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (* (* (* (cbrt (cos (/ K 2))) J) (* (cbrt (cos (/ K 2))) J)) (* (cbrt (cos (/ K 2))) J)))) 105.490 * * [simplify]: iters left: 6 (30 enodes) 105.499 * * [simplify]: iters left: 5 (148 enodes) 105.535 * * [simplify]: iters left: 4 (468 enodes) 105.911 * * [simplify]: Extracting #0: cost 1 inf + 0 105.912 * * [simplify]: Extracting #1: cost 114 inf + 0 105.915 * * [simplify]: Extracting #2: cost 708 inf + 3 105.923 * * [simplify]: Extracting #3: cost 839 inf + 169 105.930 * * [simplify]: Extracting #4: cost 895 inf + 590 105.939 * * [simplify]: Extracting #5: cost 876 inf + 2034 105.953 * * [simplify]: Extracting #6: cost 804 inf + 20223 105.979 * * [simplify]: Extracting #7: cost 629 inf + 91540 106.116 * * [simplify]: Extracting #8: cost 229 inf + 368683 106.338 * * [simplify]: Extracting #9: cost 2 inf + 546972 106.598 * * [simplify]: Extracting #10: cost 0 inf + 539543 106.840 * * [simplify]: Extracting #11: cost 0 inf + 538223 107.102 * [simplify]: Simplified to (* (* -8 (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) J) (* (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) J) (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) J))))) 107.102 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* -8 (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) J) (* (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) J) (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) J))))))) 107.102 * * * * [progress]: [ 45 / 105 ] simplifiying candidate # 107.103 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (* (* (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J)) (* (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J))) (* (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J)))) 107.103 * * [simplify]: iters left: 6 (28 enodes) 107.111 * * [simplify]: iters left: 5 (134 enodes) 107.147 * * [simplify]: iters left: 4 (427 enodes) 107.523 * * [simplify]: Extracting #0: cost 1 inf + 0 107.524 * * [simplify]: Extracting #1: cost 108 inf + 0 107.527 * * [simplify]: Extracting #2: cost 646 inf + 3 107.534 * * [simplify]: Extracting #3: cost 768 inf + 259 107.540 * * [simplify]: Extracting #4: cost 825 inf + 428 107.548 * * [simplify]: Extracting #5: cost 807 inf + 1829 107.554 * * [simplify]: Extracting #6: cost 738 inf + 18094 107.580 * * [simplify]: Extracting #7: cost 572 inf + 88945 107.734 * * [simplify]: Extracting #8: cost 134 inf + 398503 107.935 * * [simplify]: Extracting #9: cost 0 inf + 492963 108.159 * * [simplify]: Extracting #10: cost 0 inf + 490160 108.407 * [simplify]: Simplified to (* (* (* (* J (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (* (* J (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (* J (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))))) (* (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))) 108.407 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (* J (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (* (* J (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (* J (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))))) (* (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))))) 108.407 * * * * [progress]: [ 46 / 105 ] simplifiying candidate # 108.407 * * * * [progress]: [ 47 / 105 ] simplifiying candidate # 108.408 * * * * [progress]: [ 48 / 105 ] simplifiying candidate # 108.408 * * * * [progress]: [ 49 / 105 ] simplifiying candidate # 108.408 * * * * [progress]: [ 50 / 105 ] simplifiying candidate # 108.408 * [simplify]: Simplifying (* (cbrt (cos (/ K 2))) J) 108.408 * * [simplify]: iters left: 6 (7 enodes) 108.412 * * [simplify]: iters left: 5 (22 enodes) 108.418 * * [simplify]: Extracting #0: cost 1 inf + 0 108.418 * * [simplify]: Extracting #1: cost 4 inf + 0 108.418 * * [simplify]: Extracting #2: cost 5 inf + 1 108.418 * * [simplify]: Extracting #3: cost 7 inf + 1 108.418 * * [simplify]: Extracting #4: cost 10 inf + 1 108.418 * * [simplify]: Extracting #5: cost 8 inf + 3 108.419 * * [simplify]: Extracting #6: cost 1 inf + 878 108.419 * * [simplify]: Extracting #7: cost 0 inf + 1101 108.419 * [simplify]: Simplified to (* (cbrt (cos (/ K 2))) J) 108.419 * [simplify]: Simplified (2 2) to (λ (J K U) (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (* (cbrt (cos (/ K 2))) J))) 108.420 * * * * [progress]: [ 51 / 105 ] simplifiying candidate # 108.420 * [simplify]: Simplifying (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 108.420 * * [simplify]: iters left: 6 (13 enodes) 108.427 * * [simplify]: iters left: 5 (52 enodes) 108.444 * * [simplify]: iters left: 4 (105 enodes) 108.470 * * [simplify]: iters left: 3 (359 enodes) 108.717 * * [simplify]: Extracting #0: cost 1 inf + 0 108.717 * * [simplify]: Extracting #1: cost 3 inf + 0 108.717 * * [simplify]: Extracting #2: cost 6 inf + 0 108.717 * * [simplify]: Extracting #3: cost 118 inf + 1 108.718 * * [simplify]: Extracting #4: cost 235 inf + 336 108.720 * * [simplify]: Extracting #5: cost 193 inf + 4402 108.726 * * [simplify]: Extracting #6: cost 119 inf + 19348 108.751 * * [simplify]: Extracting #7: cost 7 inf + 46040 108.780 * * [simplify]: Extracting #8: cost 0 inf + 47488 108.797 * [simplify]: Simplified to (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 108.798 * [simplify]: Simplified (2 1) to (λ (J K U) (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* -2 (* (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J))))) 108.798 * * * * [progress]: [ 52 / 105 ] simplifiying candidate # 108.798 * [simplify]: Simplifying (* (* (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3))) -2) (* (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J))) 108.798 * * [simplify]: iters left: 6 (27 enodes) 108.806 * * [simplify]: iters left: 5 (119 enodes) 108.842 * * [simplify]: iters left: 4 (306 enodes) 109.021 * * [simplify]: Extracting #0: cost 1 inf + 0 109.022 * * [simplify]: Extracting #1: cost 46 inf + 0 109.022 * * [simplify]: Extracting #2: cost 146 inf + 2 109.023 * * [simplify]: Extracting #3: cost 154 inf + 86 109.023 * * [simplify]: Extracting #4: cost 253 inf + 87 109.025 * * [simplify]: Extracting #5: cost 451 inf + 3744 109.034 * * [simplify]: Extracting #6: cost 313 inf + 63670 109.075 * * [simplify]: Extracting #7: cost 19 inf + 185886 109.153 * * [simplify]: Extracting #8: cost 0 inf + 189753 109.217 * * [simplify]: Extracting #9: cost 0 inf + 189441 109.289 * [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)))))) (* (* (* (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))) J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) -2)) 109.289 * [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)))))) (* (* (* (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))) J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 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)))))) 109.290 * * * * [progress]: [ 53 / 105 ] simplifiying candidate # 109.290 * [simplify]: Simplifying (* (* (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* 1 1))) -2) (* (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J))) 109.290 * * [simplify]: iters left: 6 (26 enodes) 109.297 * * [simplify]: iters left: 5 (111 enodes) 109.339 * * [simplify]: iters left: 4 (280 enodes) 109.525 * * [simplify]: Extracting #0: cost 1 inf + 0 109.525 * * [simplify]: Extracting #1: cost 45 inf + 0 109.526 * * [simplify]: Extracting #2: cost 144 inf + 2 109.527 * * [simplify]: Extracting #3: cost 156 inf + 86 109.529 * * [simplify]: Extracting #4: cost 251 inf + 88 109.534 * * [simplify]: Extracting #5: cost 394 inf + 13991 109.578 * * [simplify]: Extracting #6: cost 115 inf + 117685 109.626 * * [simplify]: Extracting #7: cost 1 inf + 162230 109.675 * * [simplify]: Extracting #8: cost 0 inf + 162270 109.715 * [simplify]: Simplified to (* (* (* (* -2 (sqrt (- (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) 1))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (* J (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) 109.715 * [simplify]: Simplified (2 1) to (λ (J K U) (/ (* (* (* (* -2 (sqrt (- (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) 1))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (* J (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) 109.716 * * * * [progress]: [ 54 / 105 ] simplifiying candidate #real (real->posit16 (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J))))))> 109.716 * * * * [progress]: [ 55 / 105 ] simplifiying candidate # 109.716 * * * * [progress]: [ 56 / 105 ] simplifiying candidate # 109.716 * * * * [progress]: [ 57 / 105 ] simplifiying candidate # 109.716 * * * * [progress]: [ 58 / 105 ] simplifiying candidate # 109.716 * * * * [progress]: [ 59 / 105 ] simplifiying candidate # 109.716 * * * * [progress]: [ 60 / 105 ] simplifiying candidate # 109.716 * * * * [progress]: [ 61 / 105 ] simplifiying candidate # 109.716 * * * * [progress]: [ 62 / 105 ] simplifiying candidate # 109.716 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) 109.717 * * [simplify]: iters left: 6 (15 enodes) 109.721 * * [simplify]: iters left: 5 (59 enodes) 109.734 * * [simplify]: iters left: 4 (112 enodes) 109.786 * * [simplify]: iters left: 3 (365 enodes) 110.012 * * [simplify]: Extracting #0: cost 1 inf + 0 110.012 * * [simplify]: Extracting #1: cost 4 inf + 0 110.012 * * [simplify]: Extracting #2: cost 7 inf + 0 110.012 * * [simplify]: Extracting #3: cost 10 inf + 0 110.012 * * [simplify]: Extracting #4: cost 122 inf + 1 110.013 * * [simplify]: Extracting #5: cost 241 inf + 89 110.015 * * [simplify]: Extracting #6: cost 203 inf + 3666 110.019 * * [simplify]: Extracting #7: cost 128 inf + 17960 110.033 * * [simplify]: Extracting #8: cost 13 inf + 45848 110.048 * * [simplify]: Extracting #9: cost 0 inf + 48961 110.063 * [simplify]: Simplified to (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) 110.063 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (* (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (sqrt (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J)))) 110.064 * * * * [progress]: [ 63 / 105 ] simplifiying candidate # 110.064 * [simplify]: Simplifying (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) 110.064 * * [simplify]: iters left: 6 (14 enodes) 110.068 * * [simplify]: iters left: 5 (55 enodes) 110.079 * * [simplify]: iters left: 4 (108 enodes) 110.105 * * [simplify]: iters left: 3 (363 enodes) 110.328 * * [simplify]: Extracting #0: cost 1 inf + 0 110.328 * * [simplify]: Extracting #1: cost 3 inf + 0 110.328 * * [simplify]: Extracting #2: cost 5 inf + 0 110.328 * * [simplify]: Extracting #3: cost 8 inf + 0 110.329 * * [simplify]: Extracting #4: cost 123 inf + 1 110.330 * * [simplify]: Extracting #5: cost 234 inf + 420 110.331 * * [simplify]: Extracting #6: cost 203 inf + 3175 110.336 * * [simplify]: Extracting #7: cost 127 inf + 18949 110.349 * * [simplify]: Extracting #8: cost 7 inf + 46860 110.375 * * [simplify]: Extracting #9: cost 0 inf + 48232 110.403 * [simplify]: Simplified to (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 110.403 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (* (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J)))) 110.404 * * * * [progress]: [ 64 / 105 ] simplifiying candidate # 110.404 * [simplify]: Simplifying (sqrt 1) 110.404 * * [simplify]: iters left: 1 (2 enodes) 110.408 * * [simplify]: Extracting #0: cost 1 inf + 0 110.408 * * [simplify]: Extracting #1: cost 0 inf + 1 110.408 * [simplify]: Simplified to 1 110.408 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (* 1 (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) -2) (* (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J)))) 110.408 * * * * [progress]: [ 65 / 105 ] simplifiying candidate # 110.409 * [simplify]: Simplifying (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3))) 110.409 * * [simplify]: iters left: 6 (16 enodes) 110.416 * * [simplify]: iters left: 5 (70 enodes) 110.430 * * [simplify]: iters left: 4 (176 enodes) 110.521 * * [simplify]: Extracting #0: cost 1 inf + 0 110.521 * * [simplify]: Extracting #1: cost 3 inf + 0 110.521 * * [simplify]: Extracting #2: cost 6 inf + 0 110.522 * * [simplify]: Extracting #3: cost 103 inf + 1 110.523 * * [simplify]: Extracting #4: cost 306 inf + 6 110.525 * * [simplify]: Extracting #5: cost 338 inf + 1810 110.533 * * [simplify]: Extracting #6: cost 242 inf + 27932 110.572 * * [simplify]: Extracting #7: cost 28 inf + 100762 110.612 * * [simplify]: Extracting #8: cost 0 inf + 110036 110.635 * [simplify]: Simplified to (sqrt (+ 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 110.635 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (/ (sqrt (+ 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) -2) (* (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J)))) 110.636 * * * * [progress]: [ 66 / 105 ] simplifiying candidate # 110.636 * [simplify]: Simplifying (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* 1 1))) 110.637 * * [simplify]: iters left: 6 (15 enodes) 110.645 * * [simplify]: iters left: 5 (62 enodes) 110.667 * * [simplify]: iters left: 4 (150 enodes) 110.775 * * [simplify]: Extracting #0: cost 1 inf + 0 110.775 * * [simplify]: Extracting #1: cost 3 inf + 0 110.775 * * [simplify]: Extracting #2: cost 9 inf + 0 110.776 * * [simplify]: Extracting #3: cost 105 inf + 2 110.777 * * [simplify]: Extracting #4: cost 286 inf + 6 110.780 * * [simplify]: Extracting #5: cost 280 inf + 1923 110.788 * * [simplify]: Extracting #6: cost 191 inf + 25190 110.818 * * [simplify]: Extracting #7: cost 26 inf + 76271 110.854 * * [simplify]: Extracting #8: cost 0 inf + 85028 110.889 * [simplify]: Simplified to (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) 110.889 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (/ (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) -2) (* (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J)))) 110.889 * * * * [progress]: [ 67 / 105 ] simplifiying candidate # 110.889 * [simplify]: Simplifying (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 110.889 * * [simplify]: iters left: 6 (12 enodes) 110.892 * * [simplify]: iters left: 5 (49 enodes) 110.901 * * [simplify]: iters left: 4 (102 enodes) 110.935 * * [simplify]: iters left: 3 (356 enodes) 111.191 * * [simplify]: Extracting #0: cost 1 inf + 0 111.192 * * [simplify]: Extracting #1: cost 4 inf + 0 111.192 * * [simplify]: Extracting #2: cost 116 inf + 1 111.194 * * [simplify]: Extracting #3: cost 234 inf + 254 111.198 * * [simplify]: Extracting #4: cost 192 inf + 4198 111.206 * * [simplify]: Extracting #5: cost 121 inf + 19235 111.233 * * [simplify]: Extracting #6: cost 5 inf + 46310 111.262 * * [simplify]: Extracting #7: cost 0 inf + 47117 111.295 * * [simplify]: Extracting #8: cost 0 inf + 46998 111.311 * [simplify]: Simplified to (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 111.311 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (pow (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (/ 1 2)) -2) (* (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J)))) 111.312 * * * * [progress]: [ 68 / 105 ] simplifiying candidate # 111.312 * * * * [progress]: [ 69 / 105 ] simplifiying candidate # 111.312 * [simplify]: Simplifying (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 111.312 * * [simplify]: iters left: 6 (13 enodes) 111.316 * * [simplify]: iters left: 5 (52 enodes) 111.325 * * [simplify]: iters left: 4 (105 enodes) 111.365 * * [simplify]: iters left: 3 (359 enodes) 111.551 * * [simplify]: Extracting #0: cost 1 inf + 0 111.551 * * [simplify]: Extracting #1: cost 3 inf + 0 111.551 * * [simplify]: Extracting #2: cost 6 inf + 0 111.551 * * [simplify]: Extracting #3: cost 118 inf + 1 111.553 * * [simplify]: Extracting #4: cost 235 inf + 336 111.557 * * [simplify]: Extracting #5: cost 193 inf + 4402 111.564 * * [simplify]: Extracting #6: cost 119 inf + 19348 111.582 * * [simplify]: Extracting #7: cost 7 inf + 46040 111.597 * * [simplify]: Extracting #8: cost 0 inf + 47488 111.618 * [simplify]: Simplified to (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 111.618 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (fabs (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) -2) (* (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J)))) 111.618 * * * * [progress]: [ 70 / 105 ] simplifiying candidate # 111.618 * * * * [progress]: [ 71 / 105 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J))))> 111.618 * * * * [progress]: [ 72 / 105 ] simplifiying candidate # 111.618 * * * * [progress]: [ 73 / 105 ] simplifiying candidate # 111.618 * * * * [progress]: [ 74 / 105 ] simplifiying candidate # 111.618 * * * * [progress]: [ 75 / 105 ] simplifiying candidate # 111.618 * * * * [progress]: [ 76 / 105 ] simplifiying candidate # 111.619 * [simplify]: Simplifying (cbrt (cbrt (cos (/ K 2)))) 111.619 * * [simplify]: iters left: 5 (6 enodes) 111.620 * * [simplify]: iters left: 4 (18 enodes) 111.623 * * [simplify]: Extracting #0: cost 1 inf + 0 111.623 * * [simplify]: Extracting #1: cost 3 inf + 0 111.623 * * [simplify]: Extracting #2: cost 5 inf + 0 111.623 * * [simplify]: Extracting #3: cost 7 inf + 0 111.623 * * [simplify]: Extracting #4: cost 10 inf + 0 111.623 * * [simplify]: Extracting #5: cost 8 inf + 2 111.624 * * [simplify]: Extracting #6: cost 0 inf + 1178 111.624 * [simplify]: Simplified to (cbrt (cbrt (cos (/ K 2)))) 111.624 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J)))) 111.624 * * * * [progress]: [ 77 / 105 ] simplifiying candidate # 111.624 * * * * [progress]: [ 78 / 105 ] simplifiying candidate # 111.624 * * * * [progress]: [ 79 / 105 ] simplifiying candidate # 111.624 * * * * [progress]: [ 80 / 105 ] simplifiying candidate # 111.624 * * * * [progress]: [ 81 / 105 ] simplifiying candidate #real (real->posit16 (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J))))> 111.624 * * * * [progress]: [ 82 / 105 ] simplifiying candidate # 111.624 * * * * [progress]: [ 83 / 105 ] simplifiying candidate # 111.624 * * * * [progress]: [ 84 / 105 ] simplifiying candidate # 111.624 * * * * [progress]: [ 85 / 105 ] simplifiying candidate # 111.624 * * * * [progress]: [ 86 / 105 ] simplifiying candidate # 111.624 * [simplify]: Simplifying (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) 111.625 * * [simplify]: iters left: 6 (7 enodes) 111.626 * * [simplify]: iters left: 5 (21 enodes) 111.629 * * [simplify]: Extracting #0: cost 1 inf + 0 111.629 * * [simplify]: Extracting #1: cost 3 inf + 0 111.629 * * [simplify]: Extracting #2: cost 5 inf + 0 111.629 * * [simplify]: Extracting #3: cost 7 inf + 0 111.629 * * [simplify]: Extracting #4: cost 9 inf + 0 111.629 * * [simplify]: Extracting #5: cost 12 inf + 0 111.630 * * [simplify]: Extracting #6: cost 10 inf + 2 111.630 * * [simplify]: Extracting #7: cost 1 inf + 1400 111.630 * * [simplify]: Extracting #8: cost 0 inf + 1702 111.630 * [simplify]: Simplified to (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) 111.630 * [simplify]: Simplified (2 2 2 1 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))) J)))) 111.630 * * * * [progress]: [ 87 / 105 ] simplifiying candidate # 111.631 * [simplify]: Simplifying (cbrt (sqrt (cos (/ K 2)))) 111.631 * * [simplify]: iters left: 5 (6 enodes) 111.632 * * [simplify]: iters left: 4 (18 enodes) 111.637 * * [simplify]: Extracting #0: cost 1 inf + 0 111.637 * * [simplify]: Extracting #1: cost 3 inf + 0 111.637 * * [simplify]: Extracting #2: cost 5 inf + 0 111.637 * * [simplify]: Extracting #3: cost 7 inf + 0 111.637 * * [simplify]: Extracting #4: cost 10 inf + 0 111.637 * * [simplify]: Extracting #5: cost 8 inf + 2 111.637 * * [simplify]: Extracting #6: cost 0 inf + 1018 111.637 * [simplify]: Simplified to (cbrt (sqrt (cos (/ K 2)))) 111.637 * [simplify]: Simplified (2 2 2 1 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (* (cbrt (sqrt (cos (/ K 2)))) (cbrt (sqrt (cos (/ K 2))))) J)))) 111.638 * * * * [progress]: [ 88 / 105 ] simplifiying candidate # 111.638 * [simplify]: Simplifying (cbrt 1) 111.638 * * [simplify]: iters left: 1 (2 enodes) 111.640 * * [simplify]: Extracting #0: cost 1 inf + 0 111.640 * * [simplify]: Extracting #1: cost 0 inf + 1 111.640 * [simplify]: Simplified to 1 111.640 * [simplify]: Simplified (2 2 2 1 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (* 1 (cbrt (cos (/ K 2)))) J)))) 111.640 * * * * [progress]: [ 89 / 105 ] simplifiying candidate # 111.640 * * * * [progress]: [ 90 / 105 ] simplifiying candidate # 111.640 * * * * [progress]: [ 91 / 105 ] simplifiying candidate # 111.640 * * * * [progress]: [ 92 / 105 ] simplifiying candidate # 111.640 * * * * [progress]: [ 93 / 105 ] simplifiying candidate #real (real->posit16 (cbrt (cos (/ K 2))))) J))))> 111.640 * * * * [progress]: [ 94 / 105 ] simplifiying candidate # 111.640 * [simplify]: Simplifying (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 111.641 * * [simplify]: iters left: 6 (10 enodes) 111.644 * * [simplify]: iters left: 5 (43 enodes) 111.659 * * [simplify]: iters left: 4 (79 enodes) 111.672 * * [simplify]: iters left: 3 (118 enodes) 111.690 * * [simplify]: iters left: 2 (171 enodes) 111.729 * * [simplify]: iters left: 1 (242 enodes) 111.781 * * [simplify]: Extracting #0: cost 1 inf + 0 111.781 * * [simplify]: Extracting #1: cost 6 inf + 0 111.782 * * [simplify]: Extracting #2: cost 41 inf + 0 111.782 * * [simplify]: Extracting #3: cost 56 inf + 213 111.784 * * [simplify]: Extracting #4: cost 20 inf + 2732 111.787 * * [simplify]: Extracting #5: cost 1 inf + 4576 111.790 * * [simplify]: Extracting #6: cost 0 inf + 4698 111.792 * [simplify]: Simplified to (- (* -2 J) (/ (* U U) (/ J 1/4))) 111.793 * [simplify]: Simplified (2) to (λ (J K U) (- (* -2 J) (/ (* U U) (/ J 1/4)))) 111.793 * * * * [progress]: [ 95 / 105 ] simplifiying candidate # 111.793 * [simplify]: Simplifying (* -1 U) 111.793 * * [simplify]: iters left: 2 (3 enodes) 111.795 * * [simplify]: iters left: 1 (11 enodes) 111.799 * * [simplify]: Extracting #0: cost 1 inf + 0 111.799 * * [simplify]: Extracting #1: cost 4 inf + 0 111.799 * * [simplify]: Extracting #2: cost 0 inf + 84 111.799 * [simplify]: Simplified to (- U) 111.799 * [simplify]: Simplified (2) to (λ (J K U) (- U)) 111.799 * * * * [progress]: [ 96 / 105 ] simplifiying candidate # 111.799 * [simplify]: Simplifying (* -1 U) 111.800 * * [simplify]: iters left: 2 (3 enodes) 111.802 * * [simplify]: iters left: 1 (11 enodes) 111.805 * * [simplify]: Extracting #0: cost 1 inf + 0 111.805 * * [simplify]: Extracting #1: cost 4 inf + 0 111.805 * * [simplify]: Extracting #2: cost 0 inf + 84 111.806 * [simplify]: Simplified to (- U) 111.806 * [simplify]: Simplified (2) to (λ (J K U) (- U)) 111.806 * * * * [progress]: [ 97 / 105 ] simplifiying candidate # 111.806 * [simplify]: Simplifying 1 111.806 * * [simplify]: iters left: 0 (1 enodes) 111.807 * * [simplify]: Extracting #0: cost 1 inf + 0 111.807 * * [simplify]: Extracting #1: cost 0 inf + 1 111.807 * [simplify]: Simplified to 1 111.808 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* 1 -2) (* (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J)))) 111.808 * * * * [progress]: [ 98 / 105 ] simplifiying candidate # 111.808 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 111.808 * * [simplify]: iters left: 6 (9 enodes) 111.813 * * [simplify]: iters left: 5 (34 enodes) 111.826 * * [simplify]: iters left: 4 (56 enodes) 111.843 * * [simplify]: iters left: 3 (90 enodes) 111.868 * * [simplify]: iters left: 2 (114 enodes) 111.899 * * [simplify]: iters left: 1 (131 enodes) 111.933 * * [simplify]: Extracting #0: cost 1 inf + 0 111.933 * * [simplify]: Extracting #1: cost 22 inf + 0 111.934 * * [simplify]: Extracting #2: cost 37 inf + 3 111.934 * * [simplify]: Extracting #3: cost 31 inf + 380 111.935 * * [simplify]: Extracting #4: cost 17 inf + 1834 111.937 * * [simplify]: Extracting #5: cost 3 inf + 4117 111.939 * * [simplify]: Extracting #6: cost 0 inf + 4586 111.941 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 111.941 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) -2) (* (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J)))) 111.942 * * * * [progress]: [ 99 / 105 ] simplifiying candidate # 111.942 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 111.942 * * [simplify]: iters left: 6 (9 enodes) 111.947 * * [simplify]: iters left: 5 (34 enodes) 111.957 * * [simplify]: iters left: 4 (56 enodes) 111.976 * * [simplify]: iters left: 3 (90 enodes) 112.002 * * [simplify]: iters left: 2 (114 enodes) 112.026 * * [simplify]: iters left: 1 (131 enodes) 112.044 * * [simplify]: Extracting #0: cost 1 inf + 0 112.044 * * [simplify]: Extracting #1: cost 22 inf + 0 112.044 * * [simplify]: Extracting #2: cost 37 inf + 3 112.044 * * [simplify]: Extracting #3: cost 31 inf + 380 112.045 * * [simplify]: Extracting #4: cost 17 inf + 1834 112.046 * * [simplify]: Extracting #5: cost 3 inf + 4117 112.047 * * [simplify]: Extracting #6: cost 0 inf + 4586 112.048 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 112.048 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) -2) (* (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J)))) 112.048 * * * * [progress]: [ 100 / 105 ] simplifiying candidate # 112.048 * [simplify]: Simplifying (- 1 (+ (* 1/1296 (pow K 4)) (* 1/36 (pow K 2)))) 112.048 * * [simplify]: iters left: 6 (12 enodes) 112.052 * * [simplify]: iters left: 5 (52 enodes) 112.063 * * [simplify]: iters left: 4 (73 enodes) 112.075 * * [simplify]: iters left: 3 (117 enodes) 112.109 * * [simplify]: iters left: 2 (156 enodes) 112.153 * * [simplify]: iters left: 1 (207 enodes) 112.210 * * [simplify]: Extracting #0: cost 1 inf + 0 112.210 * * [simplify]: Extracting #1: cost 18 inf + 0 112.210 * * [simplify]: Extracting #2: cost 39 inf + 2 112.210 * * [simplify]: Extracting #3: cost 43 inf + 213 112.211 * * [simplify]: Extracting #4: cost 14 inf + 3555 112.213 * * [simplify]: Extracting #5: cost 0 inf + 5789 112.214 * [simplify]: Simplified to (- (* (* (* K K) (* K K)) -1/1296) (- (* 1/36 (* K K)) 1)) 112.214 * [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))) (* (- (* (* (* K K) (* K K)) -1/1296) (- (* 1/36 (* K K)) 1)) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J)))) 112.214 * * * * [progress]: [ 101 / 105 ] simplifiying candidate # 112.215 * [simplify]: Simplifying (pow (pow (cos (* 1/2 K)) 2) 1/9) 112.215 * * [simplify]: iters left: 5 (8 enodes) 112.218 * * [simplify]: iters left: 4 (34 enodes) 112.225 * * [simplify]: iters left: 3 (57 enodes) 112.241 * * [simplify]: iters left: 2 (109 enodes) 112.279 * * [simplify]: iters left: 1 (196 enodes) 112.344 * * [simplify]: Extracting #0: cost 1 inf + 0 112.344 * * [simplify]: Extracting #1: cost 12 inf + 0 112.344 * * [simplify]: Extracting #2: cost 36 inf + 2 112.345 * * [simplify]: Extracting #3: cost 43 inf + 7 112.345 * * [simplify]: Extracting #4: cost 55 inf + 10 112.345 * * [simplify]: Extracting #5: cost 51 inf + 15 112.346 * * [simplify]: Extracting #6: cost 24 inf + 8743 112.348 * * [simplify]: Extracting #7: cost 3 inf + 19972 112.351 * * [simplify]: Extracting #8: cost 0 inf + 22246 112.353 * [simplify]: Simplified to (pow (* (cos (* 1/2 K)) (cos (* 1/2 K))) 1/9) 112.353 * [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))) (* (pow (* (cos (* 1/2 K)) (cos (* 1/2 K))) 1/9) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J)))) 112.353 * * * * [progress]: [ 102 / 105 ] simplifiying candidate # 112.354 * [simplify]: Simplifying (pow (pow (cos (* 1/2 K)) 2) 1/9) 112.354 * * [simplify]: iters left: 5 (8 enodes) 112.357 * * [simplify]: iters left: 4 (34 enodes) 112.367 * * [simplify]: iters left: 3 (57 enodes) 112.388 * * [simplify]: iters left: 2 (109 enodes) 112.429 * * [simplify]: iters left: 1 (196 enodes) 112.501 * * [simplify]: Extracting #0: cost 1 inf + 0 112.501 * * [simplify]: Extracting #1: cost 12 inf + 0 112.502 * * [simplify]: Extracting #2: cost 36 inf + 2 112.502 * * [simplify]: Extracting #3: cost 43 inf + 7 112.502 * * [simplify]: Extracting #4: cost 55 inf + 10 112.503 * * [simplify]: Extracting #5: cost 51 inf + 15 112.504 * * [simplify]: Extracting #6: cost 24 inf + 8743 112.508 * * [simplify]: Extracting #7: cost 3 inf + 19972 112.511 * * [simplify]: Extracting #8: cost 0 inf + 22246 112.513 * [simplify]: Simplified to (pow (* (cos (* 1/2 K)) (cos (* 1/2 K))) 1/9) 112.513 * [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))) (* (pow (* (cos (* 1/2 K)) (cos (* 1/2 K))) 1/9) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (/ K 2))) J)))) 112.513 * * * * [progress]: [ 103 / 105 ] simplifiying candidate # 112.513 * [simplify]: Simplifying (- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2)))) 112.514 * * [simplify]: iters left: 6 (12 enodes) 112.518 * * [simplify]: iters left: 5 (52 enodes) 112.527 * * [simplify]: iters left: 4 (73 enodes) 112.542 * * [simplify]: iters left: 3 (117 enodes) 112.564 * * [simplify]: iters left: 2 (156 enodes) 112.607 * * [simplify]: iters left: 1 (207 enodes) 112.644 * * [simplify]: Extracting #0: cost 1 inf + 0 112.644 * * [simplify]: Extracting #1: cost 18 inf + 0 112.644 * * [simplify]: Extracting #2: cost 39 inf + 2 112.644 * * [simplify]: Extracting #3: cost 43 inf + 213 112.645 * * [simplify]: Extracting #4: cost 14 inf + 3555 112.646 * * [simplify]: Extracting #5: cost 0 inf + 5789 112.649 * [simplify]: Simplified to (- (* (* (* K K) (* K K)) -1/1152) (- (* 1/24 (* K K)) 1)) 112.649 * [simplify]: Simplified (2 2 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (- (* (* (* K K) (* K K)) -1/1152) (- (* 1/24 (* K K)) 1)) J)))) 112.649 * * * * [progress]: [ 104 / 105 ] simplifiying candidate # 112.650 * [simplify]: Simplifying (pow (cos (* 1/2 K)) 1/3) 112.650 * * [simplify]: iters left: 4 (6 enodes) 112.653 * * [simplify]: iters left: 3 (25 enodes) 112.663 * * [simplify]: iters left: 2 (39 enodes) 112.675 * * [simplify]: iters left: 1 (69 enodes) 112.688 * * [simplify]: Extracting #0: cost 1 inf + 0 112.688 * * [simplify]: Extracting #1: cost 9 inf + 0 112.688 * * [simplify]: Extracting #2: cost 23 inf + 1 112.688 * * [simplify]: Extracting #3: cost 23 inf + 5 112.688 * * [simplify]: Extracting #4: cost 20 inf + 8 112.689 * * [simplify]: Extracting #5: cost 9 inf + 2778 112.689 * * [simplify]: Extracting #6: cost 0 inf + 6930 112.690 * [simplify]: Simplified to (cbrt (cos (* 1/2 K))) 112.690 * [simplify]: Simplified (2 2 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (* 1/2 K))) J)))) 112.690 * * * * [progress]: [ 105 / 105 ] simplifiying candidate # 112.690 * [simplify]: Simplifying (pow (cos (* 1/2 K)) 1/3) 112.690 * * [simplify]: iters left: 4 (6 enodes) 112.692 * * [simplify]: iters left: 3 (25 enodes) 112.698 * * [simplify]: iters left: 2 (39 enodes) 112.711 * * [simplify]: iters left: 1 (69 enodes) 112.738 * * [simplify]: Extracting #0: cost 1 inf + 0 112.738 * * [simplify]: Extracting #1: cost 9 inf + 0 112.738 * * [simplify]: Extracting #2: cost 23 inf + 1 112.738 * * [simplify]: Extracting #3: cost 23 inf + 5 112.738 * * [simplify]: Extracting #4: cost 20 inf + 8 112.739 * * [simplify]: Extracting #5: cost 9 inf + 2778 112.740 * * [simplify]: Extracting #6: cost 0 inf + 6930 112.741 * [simplify]: Simplified to (cbrt (cos (* 1/2 K))) 112.741 * [simplify]: Simplified (2 2 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cos (* 1/2 K))) J)))) 112.741 * * * [progress]: adding candidates to table 114.477 * [progress]: [Phase 3 of 3] Extracting. 114.477 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #) 114.482 * * * [regime-changes]: Trying 5 branch expressions: (U K (/ K 2) (cos (/ K 2)) J) 114.482 * * * * [regimes]: Trying to branch on U from (# # # # # # # # # # #) 114.595 * * * * [regimes]: Trying to branch on K from (# # # # # # # # # # #) 114.685 * * * * [regimes]: Trying to branch on (/ K 2) from (# # # # # # # # # # #) 114.769 * * * * [regimes]: Trying to branch on (cos (/ K 2)) from (# # # # # # # # # # #) 114.865 * * * * [regimes]: Trying to branch on J from (# # # # # # # # # # #) 114.987 * * * [regime]: Found split indices: #