128.032 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.216 * * * [progress]: [2/2] Setting up program. 0.222 * [progress]: [Phase 2 of 3] Improving. 0.222 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.222 * [simplify]: Simplifying: (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 0.222 * * [simplify]: iteration 1: (17 enodes) 0.226 * * [simplify]: iteration 2: (34 enodes) 0.233 * * [simplify]: iteration 3: (79 enodes) 0.250 * * [simplify]: iteration 4: (185 enodes) 0.351 * * [simplify]: iteration 5: (616 enodes) 1.020 * * [simplify]: Extracting #0: cost 1 inf + 0 1.021 * * [simplify]: Extracting #1: cost 15 inf + 0 1.021 * * [simplify]: Extracting #2: cost 15 inf + 2 1.021 * * [simplify]: Extracting #3: cost 18 inf + 44 1.022 * * [simplify]: Extracting #4: cost 201 inf + 89 1.029 * * [simplify]: Extracting #5: cost 339 inf + 8425 1.050 * * [simplify]: Extracting #6: cost 187 inf + 41443 1.099 * * [simplify]: Extracting #7: cost 97 inf + 73351 1.137 * * [simplify]: Extracting #8: cost 1 inf + 124289 1.177 * * [simplify]: Extracting #9: cost 0 inf + 124724 1.221 * [simplify]: Simplified to: (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))) 1.239 * * [progress]: iteration 1 / 4 1.239 * * * [progress]: picking best candidate 1.246 * * * * [pick]: Picked # 1.246 * * * [progress]: localizing error 1.286 * * * [progress]: generating rewritten candidates 1.286 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.498 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.863 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 2.007 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 2 2) 2.026 * * * [progress]: generating series expansions 2.026 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 2.027 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) 2.027 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U J K) around 0 2.027 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 2.027 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 2.027 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 2.027 * [taylor]: Taking taylor expansion of 1/4 in K 2.027 * [backup-simplify]: Simplify 1/4 into 1/4 2.027 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 2.027 * [taylor]: Taking taylor expansion of (pow U 2) in K 2.027 * [taylor]: Taking taylor expansion of U in K 2.027 * [backup-simplify]: Simplify U into U 2.027 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 2.027 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 2.027 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 2.027 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 2.027 * [taylor]: Taking taylor expansion of 1/2 in K 2.027 * [backup-simplify]: Simplify 1/2 into 1/2 2.027 * [taylor]: Taking taylor expansion of K in K 2.027 * [backup-simplify]: Simplify 0 into 0 2.027 * [backup-simplify]: Simplify 1 into 1 2.028 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.030 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.030 * [taylor]: Taking taylor expansion of (pow J 2) in K 2.030 * [taylor]: Taking taylor expansion of J in K 2.030 * [backup-simplify]: Simplify J into J 2.030 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.030 * [backup-simplify]: Simplify (* 1 1) into 1 2.030 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.030 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 2.030 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 2.031 * [taylor]: Taking taylor expansion of 1 in K 2.031 * [backup-simplify]: Simplify 1 into 1 2.031 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 2.031 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 2.031 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 2.031 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 2.031 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.032 * [backup-simplify]: Simplify (+ 0) into 0 2.033 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.033 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 2.033 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 2.034 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 2.034 * [backup-simplify]: Simplify (+ 0 0) into 0 2.035 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 2.035 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 2.035 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 2.035 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 2.035 * [taylor]: Taking taylor expansion of 1/4 in J 2.035 * [backup-simplify]: Simplify 1/4 into 1/4 2.035 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 2.035 * [taylor]: Taking taylor expansion of (pow U 2) in J 2.035 * [taylor]: Taking taylor expansion of U in J 2.035 * [backup-simplify]: Simplify U into U 2.035 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 2.035 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 2.035 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 2.035 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 2.035 * [taylor]: Taking taylor expansion of 1/2 in J 2.035 * [backup-simplify]: Simplify 1/2 into 1/2 2.035 * [taylor]: Taking taylor expansion of K in J 2.035 * [backup-simplify]: Simplify K into K 2.035 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.035 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.035 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.035 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 2.036 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 2.036 * [backup-simplify]: Simplify (- 0) into 0 2.036 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 2.036 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.036 * [taylor]: Taking taylor expansion of J in J 2.036 * [backup-simplify]: Simplify 0 into 0 2.036 * [backup-simplify]: Simplify 1 into 1 2.036 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.036 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 2.037 * [backup-simplify]: Simplify (* 1 1) into 1 2.037 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 2.037 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 2.037 * [taylor]: Taking taylor expansion of 1 in J 2.037 * [backup-simplify]: Simplify 1 into 1 2.037 * [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))) 2.037 * [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))) 2.038 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 2.038 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 2.038 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.039 * [backup-simplify]: Simplify (+ 0) into 0 2.039 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 2.040 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 2.041 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.041 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 2.041 * [backup-simplify]: Simplify (- 0) into 0 2.042 * [backup-simplify]: Simplify (+ 0 0) into 0 2.042 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 2.042 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 2.043 * [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 2.043 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 2.044 * [backup-simplify]: Simplify (+ 0 0) into 0 2.044 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 2.044 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 2.044 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 2.044 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 2.044 * [taylor]: Taking taylor expansion of 1/4 in U 2.044 * [backup-simplify]: Simplify 1/4 into 1/4 2.044 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 2.044 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.044 * [taylor]: Taking taylor expansion of U in U 2.044 * [backup-simplify]: Simplify 0 into 0 2.044 * [backup-simplify]: Simplify 1 into 1 2.044 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 2.044 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 2.044 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 2.044 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 2.045 * [taylor]: Taking taylor expansion of 1/2 in U 2.045 * [backup-simplify]: Simplify 1/2 into 1/2 2.045 * [taylor]: Taking taylor expansion of K in U 2.045 * [backup-simplify]: Simplify K into K 2.045 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.045 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.045 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.045 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 2.045 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 2.045 * [backup-simplify]: Simplify (- 0) into 0 2.046 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 2.046 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.046 * [taylor]: Taking taylor expansion of J in U 2.046 * [backup-simplify]: Simplify J into J 2.046 * [backup-simplify]: Simplify (* 1 1) into 1 2.046 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 2.046 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.046 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 2.047 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 2.047 * [taylor]: Taking taylor expansion of 1 in U 2.047 * [backup-simplify]: Simplify 1 into 1 2.047 * [backup-simplify]: Simplify (+ 0 1) into 1 2.047 * [backup-simplify]: Simplify (sqrt 1) into 1 2.048 * [backup-simplify]: Simplify (+ 0 0) into 0 2.049 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.049 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 2.049 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 2.049 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 2.049 * [taylor]: Taking taylor expansion of 1/4 in U 2.049 * [backup-simplify]: Simplify 1/4 into 1/4 2.049 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 2.049 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.049 * [taylor]: Taking taylor expansion of U in U 2.049 * [backup-simplify]: Simplify 0 into 0 2.049 * [backup-simplify]: Simplify 1 into 1 2.049 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 2.049 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 2.049 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 2.049 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 2.049 * [taylor]: Taking taylor expansion of 1/2 in U 2.049 * [backup-simplify]: Simplify 1/2 into 1/2 2.049 * [taylor]: Taking taylor expansion of K in U 2.049 * [backup-simplify]: Simplify K into K 2.049 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.049 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.049 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.049 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 2.049 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 2.050 * [backup-simplify]: Simplify (- 0) into 0 2.050 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 2.050 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.050 * [taylor]: Taking taylor expansion of J in U 2.050 * [backup-simplify]: Simplify J into J 2.050 * [backup-simplify]: Simplify (* 1 1) into 1 2.050 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 2.051 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.051 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 2.051 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 2.051 * [taylor]: Taking taylor expansion of 1 in U 2.051 * [backup-simplify]: Simplify 1 into 1 2.051 * [backup-simplify]: Simplify (+ 0 1) into 1 2.052 * [backup-simplify]: Simplify (sqrt 1) into 1 2.052 * [backup-simplify]: Simplify (+ 0 0) into 0 2.053 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.053 * [taylor]: Taking taylor expansion of 1 in J 2.053 * [backup-simplify]: Simplify 1 into 1 2.053 * [taylor]: Taking taylor expansion of 0 in J 2.053 * [backup-simplify]: Simplify 0 into 0 2.053 * [taylor]: Taking taylor expansion of 1 in K 2.053 * [backup-simplify]: Simplify 1 into 1 2.053 * [backup-simplify]: Simplify 1 into 1 2.053 * [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))) 2.054 * [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)))) 2.055 * [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))) 2.055 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 2.055 * [taylor]: Taking taylor expansion of 1/8 in J 2.055 * [backup-simplify]: Simplify 1/8 into 1/8 2.055 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 2.055 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 2.055 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 2.055 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 2.055 * [taylor]: Taking taylor expansion of 1/2 in J 2.055 * [backup-simplify]: Simplify 1/2 into 1/2 2.055 * [taylor]: Taking taylor expansion of K in J 2.055 * [backup-simplify]: Simplify K into K 2.055 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.055 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.056 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.056 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 2.056 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 2.056 * [backup-simplify]: Simplify (- 0) into 0 2.056 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 2.056 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.056 * [taylor]: Taking taylor expansion of J in J 2.056 * [backup-simplify]: Simplify 0 into 0 2.056 * [backup-simplify]: Simplify 1 into 1 2.056 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 2.057 * [backup-simplify]: Simplify (* 1 1) into 1 2.057 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 2.057 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2)) 2.058 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.058 * [backup-simplify]: Simplify (+ 0) into 0 2.059 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 2.059 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 2.060 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.060 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 2.061 * [backup-simplify]: Simplify (- 0) into 0 2.061 * [backup-simplify]: Simplify (+ 0 0) into 0 2.061 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 2.062 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 2.062 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 2.062 * [taylor]: Taking taylor expansion of 0 in K 2.062 * [backup-simplify]: Simplify 0 into 0 2.062 * [backup-simplify]: Simplify 0 into 0 2.062 * [taylor]: Taking taylor expansion of 0 in K 2.062 * [backup-simplify]: Simplify 0 into 0 2.062 * [backup-simplify]: Simplify 0 into 0 2.062 * [taylor]: Taking taylor expansion of 0 in K 2.062 * [backup-simplify]: Simplify 0 into 0 2.062 * [backup-simplify]: Simplify 0 into 0 2.062 * [backup-simplify]: Simplify 0 into 0 2.063 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.063 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.064 * [backup-simplify]: Simplify (+ 0) into 0 2.064 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 2.065 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 2.066 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.066 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 2.066 * [backup-simplify]: Simplify (- 0) into 0 2.067 * [backup-simplify]: Simplify (+ 0 0) into 0 2.067 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 2.067 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 2.068 * [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 2.068 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 2.069 * [backup-simplify]: Simplify (+ 0 0) into 0 2.069 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 2.069 * [taylor]: Taking taylor expansion of 0 in J 2.069 * [backup-simplify]: Simplify 0 into 0 2.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.071 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.072 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.073 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 2.073 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.074 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.074 * [backup-simplify]: Simplify (- 0) into 0 2.075 * [backup-simplify]: Simplify (+ 0 0) into 0 2.075 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 2.076 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 2.076 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 2.076 * [taylor]: Taking taylor expansion of 0 in K 2.076 * [backup-simplify]: Simplify 0 into 0 2.076 * [backup-simplify]: Simplify 0 into 0 2.076 * [taylor]: Taking taylor expansion of 0 in K 2.077 * [backup-simplify]: Simplify 0 into 0 2.077 * [backup-simplify]: Simplify 0 into 0 2.077 * [backup-simplify]: Simplify 1 into 1 2.077 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 2.077 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U J K) around 0 2.077 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 2.077 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 2.077 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 2.077 * [taylor]: Taking taylor expansion of 1/4 in K 2.077 * [backup-simplify]: Simplify 1/4 into 1/4 2.077 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 2.077 * [taylor]: Taking taylor expansion of (pow J 2) in K 2.077 * [taylor]: Taking taylor expansion of J in K 2.077 * [backup-simplify]: Simplify J into J 2.077 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 2.077 * [taylor]: Taking taylor expansion of (pow U 2) in K 2.078 * [taylor]: Taking taylor expansion of U in K 2.078 * [backup-simplify]: Simplify U into U 2.078 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 2.078 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 2.078 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 2.078 * [taylor]: Taking taylor expansion of 1/2 in K 2.078 * [backup-simplify]: Simplify 1/2 into 1/2 2.078 * [taylor]: Taking taylor expansion of K in K 2.078 * [backup-simplify]: Simplify 0 into 0 2.078 * [backup-simplify]: Simplify 1 into 1 2.078 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.078 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.078 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.078 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.079 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.079 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 2.079 * [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))) 2.079 * [taylor]: Taking taylor expansion of 1 in K 2.079 * [backup-simplify]: Simplify 1 into 1 2.079 * [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)))) 2.080 * [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) 2.080 * [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)) 2.080 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.080 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 2.080 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 2.080 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 2.081 * [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 2.082 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 2.082 * [backup-simplify]: Simplify (+ 0 0) into 0 2.083 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 2.083 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 2.083 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 2.083 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 2.083 * [taylor]: Taking taylor expansion of 1/4 in J 2.083 * [backup-simplify]: Simplify 1/4 into 1/4 2.083 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 2.083 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.083 * [taylor]: Taking taylor expansion of J in J 2.083 * [backup-simplify]: Simplify 0 into 0 2.083 * [backup-simplify]: Simplify 1 into 1 2.083 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 2.083 * [taylor]: Taking taylor expansion of (pow U 2) in J 2.083 * [taylor]: Taking taylor expansion of U in J 2.083 * [backup-simplify]: Simplify U into U 2.083 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 2.083 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 2.083 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 2.083 * [taylor]: Taking taylor expansion of 1/2 in J 2.083 * [backup-simplify]: Simplify 1/2 into 1/2 2.083 * [taylor]: Taking taylor expansion of K in J 2.083 * [backup-simplify]: Simplify K into K 2.083 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.083 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.083 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.083 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.084 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.084 * [backup-simplify]: Simplify (- 0) into 0 2.084 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.084 * [backup-simplify]: Simplify (* 1 1) into 1 2.085 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.085 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.085 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 2.085 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 2.085 * [taylor]: Taking taylor expansion of 1 in J 2.085 * [backup-simplify]: Simplify 1 into 1 2.086 * [backup-simplify]: Simplify (+ 0 1) into 1 2.086 * [backup-simplify]: Simplify (sqrt 1) into 1 2.086 * [backup-simplify]: Simplify (+ 0 0) into 0 2.087 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.087 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 2.087 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 2.087 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 2.087 * [taylor]: Taking taylor expansion of 1/4 in U 2.087 * [backup-simplify]: Simplify 1/4 into 1/4 2.087 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 2.087 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.087 * [taylor]: Taking taylor expansion of J in U 2.088 * [backup-simplify]: Simplify J into J 2.088 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 2.088 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.088 * [taylor]: Taking taylor expansion of U in U 2.088 * [backup-simplify]: Simplify 0 into 0 2.088 * [backup-simplify]: Simplify 1 into 1 2.088 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 2.088 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 2.088 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 2.088 * [taylor]: Taking taylor expansion of 1/2 in U 2.088 * [backup-simplify]: Simplify 1/2 into 1/2 2.088 * [taylor]: Taking taylor expansion of K in U 2.088 * [backup-simplify]: Simplify K into K 2.088 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.088 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.088 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.088 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.088 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.089 * [backup-simplify]: Simplify (- 0) into 0 2.089 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.089 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.089 * [backup-simplify]: Simplify (* 1 1) into 1 2.090 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.090 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 2.090 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 2.090 * [taylor]: Taking taylor expansion of 1 in U 2.090 * [backup-simplify]: Simplify 1 into 1 2.090 * [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))) 2.090 * [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))) 2.091 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 2.091 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.091 * [backup-simplify]: Simplify (+ 0) into 0 2.092 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 2.092 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 2.093 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.093 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 2.093 * [backup-simplify]: Simplify (- 0) into 0 2.094 * [backup-simplify]: Simplify (+ 0 0) into 0 2.094 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 2.094 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.095 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 2.095 * [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 2.096 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 2.096 * [backup-simplify]: Simplify (+ 0 0) into 0 2.097 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 2.097 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 2.097 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 2.097 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 2.097 * [taylor]: Taking taylor expansion of 1/4 in U 2.097 * [backup-simplify]: Simplify 1/4 into 1/4 2.097 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 2.097 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.097 * [taylor]: Taking taylor expansion of J in U 2.097 * [backup-simplify]: Simplify J into J 2.097 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 2.097 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.097 * [taylor]: Taking taylor expansion of U in U 2.097 * [backup-simplify]: Simplify 0 into 0 2.097 * [backup-simplify]: Simplify 1 into 1 2.097 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 2.097 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 2.097 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 2.097 * [taylor]: Taking taylor expansion of 1/2 in U 2.097 * [backup-simplify]: Simplify 1/2 into 1/2 2.097 * [taylor]: Taking taylor expansion of K in U 2.097 * [backup-simplify]: Simplify K into K 2.097 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.097 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.097 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.097 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.098 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.098 * [backup-simplify]: Simplify (- 0) into 0 2.098 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.098 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.098 * [backup-simplify]: Simplify (* 1 1) into 1 2.099 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.099 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 2.099 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 2.099 * [taylor]: Taking taylor expansion of 1 in U 2.099 * [backup-simplify]: Simplify 1 into 1 2.099 * [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))) 2.099 * [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))) 2.100 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 2.100 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.100 * [backup-simplify]: Simplify (+ 0) into 0 2.101 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 2.101 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 2.102 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.102 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 2.102 * [backup-simplify]: Simplify (- 0) into 0 2.103 * [backup-simplify]: Simplify (+ 0 0) into 0 2.103 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 2.103 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.104 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 2.104 * [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 2.105 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 2.105 * [backup-simplify]: Simplify (+ 0 0) into 0 2.106 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 2.106 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 2.106 * [taylor]: Taking taylor expansion of 1/2 in J 2.106 * [backup-simplify]: Simplify 1/2 into 1/2 2.106 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 2.106 * [taylor]: Taking taylor expansion of J in J 2.106 * [backup-simplify]: Simplify 0 into 0 2.106 * [backup-simplify]: Simplify 1 into 1 2.106 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 2.106 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 2.106 * [taylor]: Taking taylor expansion of 1/2 in J 2.106 * [backup-simplify]: Simplify 1/2 into 1/2 2.106 * [taylor]: Taking taylor expansion of K in J 2.106 * [backup-simplify]: Simplify K into K 2.106 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.106 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.106 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.106 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.106 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.107 * [backup-simplify]: Simplify (- 0) into 0 2.107 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.107 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 2.107 * [taylor]: Taking taylor expansion of 0 in J 2.107 * [backup-simplify]: Simplify 0 into 0 2.107 * [taylor]: Taking taylor expansion of 0 in K 2.107 * [backup-simplify]: Simplify 0 into 0 2.107 * [backup-simplify]: Simplify 0 into 0 2.107 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 2.107 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K 2.107 * [taylor]: Taking taylor expansion of 1/2 in K 2.107 * [backup-simplify]: Simplify 1/2 into 1/2 2.107 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 2.107 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 2.107 * [taylor]: Taking taylor expansion of 1/2 in K 2.107 * [backup-simplify]: Simplify 1/2 into 1/2 2.107 * [taylor]: Taking taylor expansion of K in K 2.108 * [backup-simplify]: Simplify 0 into 0 2.108 * [backup-simplify]: Simplify 1 into 1 2.108 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.108 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.108 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 2.108 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 2.109 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 2.110 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.110 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.111 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.111 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.112 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.112 * [backup-simplify]: Simplify (- 0) into 0 2.113 * [backup-simplify]: Simplify (+ 0 0) into 0 2.113 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 2.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 2.115 * [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 2.116 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 2.117 * [backup-simplify]: Simplify (+ 0 1) into 1 2.118 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 2.118 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 2.118 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 2.118 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 2.118 * [taylor]: Taking taylor expansion of 1/2 in J 2.118 * [backup-simplify]: Simplify 1/2 into 1/2 2.118 * [taylor]: Taking taylor expansion of K in J 2.118 * [backup-simplify]: Simplify K into K 2.118 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.118 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.118 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.118 * [taylor]: Taking taylor expansion of J in J 2.118 * [backup-simplify]: Simplify 0 into 0 2.118 * [backup-simplify]: Simplify 1 into 1 2.118 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.118 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.119 * [backup-simplify]: Simplify (- 0) into 0 2.119 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.119 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.119 * [backup-simplify]: Simplify (+ 0) into 0 2.120 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 2.120 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 2.121 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.121 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 2.121 * [backup-simplify]: Simplify (- 0) into 0 2.122 * [backup-simplify]: Simplify (+ 0 0) into 0 2.123 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 2.123 * [taylor]: Taking taylor expansion of 0 in K 2.123 * [backup-simplify]: Simplify 0 into 0 2.123 * [backup-simplify]: Simplify 0 into 0 2.123 * [taylor]: Taking taylor expansion of 0 in K 2.123 * [backup-simplify]: Simplify 0 into 0 2.123 * [backup-simplify]: Simplify 0 into 0 2.123 * [backup-simplify]: Simplify (+ 0) into 0 2.124 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 2.124 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 2.125 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.125 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 2.126 * [backup-simplify]: Simplify (- 0) into 0 2.126 * [backup-simplify]: Simplify (+ 0 0) into 0 2.126 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 2.127 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 2.127 * [taylor]: Taking taylor expansion of 0 in K 2.127 * [backup-simplify]: Simplify 0 into 0 2.127 * [backup-simplify]: Simplify 0 into 0 2.127 * [backup-simplify]: Simplify 0 into 0 2.127 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 2.127 * [backup-simplify]: Simplify 0 into 0 2.128 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 2.129 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.130 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.130 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.132 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.132 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.133 * [backup-simplify]: Simplify (- 0) into 0 2.133 * [backup-simplify]: Simplify (+ 0 0) into 0 2.134 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 2.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 2.137 * [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 2.138 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 2.139 * [backup-simplify]: Simplify (+ 0 0) into 0 2.139 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 2.139 * [taylor]: Taking taylor expansion of 0 in J 2.139 * [backup-simplify]: Simplify 0 into 0 2.139 * [taylor]: Taking taylor expansion of 0 in K 2.139 * [backup-simplify]: Simplify 0 into 0 2.139 * [backup-simplify]: Simplify 0 into 0 2.140 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 2.140 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 2.140 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U J K) around 0 2.140 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 2.140 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 2.140 * [taylor]: Taking taylor expansion of 1 in K 2.140 * [backup-simplify]: Simplify 1 into 1 2.140 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 2.140 * [taylor]: Taking taylor expansion of 1/4 in K 2.140 * [backup-simplify]: Simplify 1/4 into 1/4 2.140 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 2.141 * [taylor]: Taking taylor expansion of (pow J 2) in K 2.141 * [taylor]: Taking taylor expansion of J in K 2.141 * [backup-simplify]: Simplify J into J 2.141 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 2.141 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 2.141 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 2.141 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 2.141 * [taylor]: Taking taylor expansion of -1/2 in K 2.141 * [backup-simplify]: Simplify -1/2 into -1/2 2.141 * [taylor]: Taking taylor expansion of K in K 2.141 * [backup-simplify]: Simplify 0 into 0 2.141 * [backup-simplify]: Simplify 1 into 1 2.141 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.141 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.141 * [taylor]: Taking taylor expansion of (pow U 2) in K 2.141 * [taylor]: Taking taylor expansion of U in K 2.141 * [backup-simplify]: Simplify U into U 2.142 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.142 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.142 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.142 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 2.142 * [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))) 2.142 * [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)))) 2.143 * [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))))) 2.143 * [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)))))) 2.143 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.143 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 2.143 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 2.144 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 2.144 * [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 2.145 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 2.145 * [backup-simplify]: Simplify (+ 0 0) into 0 2.146 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 2.146 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 2.146 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 2.146 * [taylor]: Taking taylor expansion of 1 in J 2.146 * [backup-simplify]: Simplify 1 into 1 2.146 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 2.146 * [taylor]: Taking taylor expansion of 1/4 in J 2.146 * [backup-simplify]: Simplify 1/4 into 1/4 2.146 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 2.146 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.146 * [taylor]: Taking taylor expansion of J in J 2.146 * [backup-simplify]: Simplify 0 into 0 2.146 * [backup-simplify]: Simplify 1 into 1 2.146 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 2.146 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 2.146 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 2.146 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 2.146 * [taylor]: Taking taylor expansion of -1/2 in J 2.146 * [backup-simplify]: Simplify -1/2 into -1/2 2.146 * [taylor]: Taking taylor expansion of K in J 2.146 * [backup-simplify]: Simplify K into K 2.146 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.146 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.146 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.147 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.147 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.147 * [backup-simplify]: Simplify (- 0) into 0 2.147 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.147 * [taylor]: Taking taylor expansion of (pow U 2) in J 2.147 * [taylor]: Taking taylor expansion of U in J 2.147 * [backup-simplify]: Simplify U into U 2.148 * [backup-simplify]: Simplify (* 1 1) into 1 2.148 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.148 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.148 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 2.148 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 2.149 * [backup-simplify]: Simplify (+ 1 0) into 1 2.149 * [backup-simplify]: Simplify (sqrt 1) into 1 2.150 * [backup-simplify]: Simplify (+ 0 0) into 0 2.150 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.151 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 2.151 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 2.151 * [taylor]: Taking taylor expansion of 1 in U 2.151 * [backup-simplify]: Simplify 1 into 1 2.151 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 2.151 * [taylor]: Taking taylor expansion of 1/4 in U 2.151 * [backup-simplify]: Simplify 1/4 into 1/4 2.151 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 2.151 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.151 * [taylor]: Taking taylor expansion of J in U 2.151 * [backup-simplify]: Simplify J into J 2.151 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 2.151 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 2.151 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 2.151 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 2.151 * [taylor]: Taking taylor expansion of -1/2 in U 2.151 * [backup-simplify]: Simplify -1/2 into -1/2 2.151 * [taylor]: Taking taylor expansion of K in U 2.151 * [backup-simplify]: Simplify K into K 2.151 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.151 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.151 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.151 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.151 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.152 * [backup-simplify]: Simplify (- 0) into 0 2.152 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.152 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.152 * [taylor]: Taking taylor expansion of U in U 2.152 * [backup-simplify]: Simplify 0 into 0 2.152 * [backup-simplify]: Simplify 1 into 1 2.152 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.152 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.153 * [backup-simplify]: Simplify (* 1 1) into 1 2.153 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 2.153 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 2.153 * [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))) 2.153 * [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))) 2.154 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 2.154 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.154 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.155 * [backup-simplify]: Simplify (+ 0) into 0 2.155 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.155 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.161 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.162 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.163 * [backup-simplify]: Simplify (- 0) into 0 2.163 * [backup-simplify]: Simplify (+ 0 0) into 0 2.163 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 2.164 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 2.164 * [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 2.165 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 2.165 * [backup-simplify]: Simplify (+ 0 0) into 0 2.165 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 2.166 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 2.166 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 2.166 * [taylor]: Taking taylor expansion of 1 in U 2.166 * [backup-simplify]: Simplify 1 into 1 2.166 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 2.166 * [taylor]: Taking taylor expansion of 1/4 in U 2.166 * [backup-simplify]: Simplify 1/4 into 1/4 2.166 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 2.166 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.166 * [taylor]: Taking taylor expansion of J in U 2.166 * [backup-simplify]: Simplify J into J 2.166 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 2.166 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 2.166 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 2.166 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 2.166 * [taylor]: Taking taylor expansion of -1/2 in U 2.166 * [backup-simplify]: Simplify -1/2 into -1/2 2.166 * [taylor]: Taking taylor expansion of K in U 2.166 * [backup-simplify]: Simplify K into K 2.166 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.166 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.166 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.166 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.166 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.167 * [backup-simplify]: Simplify (- 0) into 0 2.167 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.167 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.167 * [taylor]: Taking taylor expansion of U in U 2.167 * [backup-simplify]: Simplify 0 into 0 2.167 * [backup-simplify]: Simplify 1 into 1 2.167 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.167 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.168 * [backup-simplify]: Simplify (* 1 1) into 1 2.168 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 2.168 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 2.168 * [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))) 2.168 * [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))) 2.169 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 2.169 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.169 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.170 * [backup-simplify]: Simplify (+ 0) into 0 2.170 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.170 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.171 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.172 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.172 * [backup-simplify]: Simplify (- 0) into 0 2.172 * [backup-simplify]: Simplify (+ 0 0) into 0 2.173 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 2.173 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 2.174 * [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 2.174 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 2.174 * [backup-simplify]: Simplify (+ 0 0) into 0 2.175 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 2.175 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 2.175 * [taylor]: Taking taylor expansion of 1/2 in J 2.175 * [backup-simplify]: Simplify 1/2 into 1/2 2.175 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 2.175 * [taylor]: Taking taylor expansion of J in J 2.175 * [backup-simplify]: Simplify 0 into 0 2.175 * [backup-simplify]: Simplify 1 into 1 2.175 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 2.175 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 2.175 * [taylor]: Taking taylor expansion of -1/2 in J 2.175 * [backup-simplify]: Simplify -1/2 into -1/2 2.175 * [taylor]: Taking taylor expansion of K in J 2.175 * [backup-simplify]: Simplify K into K 2.175 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.175 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.175 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.175 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.176 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.176 * [backup-simplify]: Simplify (- 0) into 0 2.176 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.176 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 2.176 * [taylor]: Taking taylor expansion of 0 in J 2.176 * [backup-simplify]: Simplify 0 into 0 2.176 * [taylor]: Taking taylor expansion of 0 in K 2.176 * [backup-simplify]: Simplify 0 into 0 2.176 * [backup-simplify]: Simplify 0 into 0 2.176 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 2.177 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K 2.177 * [taylor]: Taking taylor expansion of 1/2 in K 2.177 * [backup-simplify]: Simplify 1/2 into 1/2 2.177 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 2.177 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 2.177 * [taylor]: Taking taylor expansion of -1/2 in K 2.177 * [backup-simplify]: Simplify -1/2 into -1/2 2.177 * [taylor]: Taking taylor expansion of K in K 2.177 * [backup-simplify]: Simplify 0 into 0 2.177 * [backup-simplify]: Simplify 1 into 1 2.177 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.177 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.177 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 2.177 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 2.178 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 2.179 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.180 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.181 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.181 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.181 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.182 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.182 * [backup-simplify]: Simplify (- 0) into 0 2.183 * [backup-simplify]: Simplify (+ 0 0) into 0 2.183 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 2.184 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 2.185 * [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 2.186 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 2.186 * [backup-simplify]: Simplify (+ 1 0) into 1 2.187 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 2.187 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 2.187 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 2.187 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 2.187 * [taylor]: Taking taylor expansion of -1/2 in J 2.187 * [backup-simplify]: Simplify -1/2 into -1/2 2.187 * [taylor]: Taking taylor expansion of K in J 2.187 * [backup-simplify]: Simplify K into K 2.187 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.187 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.187 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.187 * [taylor]: Taking taylor expansion of J in J 2.187 * [backup-simplify]: Simplify 0 into 0 2.187 * [backup-simplify]: Simplify 1 into 1 2.187 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.187 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.188 * [backup-simplify]: Simplify (- 0) into 0 2.188 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.188 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.188 * [backup-simplify]: Simplify (+ 0) into 0 2.189 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.189 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.190 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.191 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.191 * [backup-simplify]: Simplify (- 0) into 0 2.191 * [backup-simplify]: Simplify (+ 0 0) into 0 2.192 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 2.192 * [taylor]: Taking taylor expansion of 0 in K 2.192 * [backup-simplify]: Simplify 0 into 0 2.192 * [backup-simplify]: Simplify 0 into 0 2.192 * [taylor]: Taking taylor expansion of 0 in K 2.192 * [backup-simplify]: Simplify 0 into 0 2.193 * [backup-simplify]: Simplify 0 into 0 2.193 * [backup-simplify]: Simplify (+ 0) into 0 2.193 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.194 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.194 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.195 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.195 * [backup-simplify]: Simplify (- 0) into 0 2.196 * [backup-simplify]: Simplify (+ 0 0) into 0 2.196 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 2.196 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 2.196 * [taylor]: Taking taylor expansion of 0 in K 2.196 * [backup-simplify]: Simplify 0 into 0 2.196 * [backup-simplify]: Simplify 0 into 0 2.197 * [backup-simplify]: Simplify 0 into 0 2.197 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 2.197 * [backup-simplify]: Simplify 0 into 0 2.198 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 2.199 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.200 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.201 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.201 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.202 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.203 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.204 * [backup-simplify]: Simplify (- 0) into 0 2.204 * [backup-simplify]: Simplify (+ 0 0) into 0 2.205 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 2.206 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.206 * [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 2.208 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 2.208 * [backup-simplify]: Simplify (+ 0 0) into 0 2.208 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 2.208 * [taylor]: Taking taylor expansion of 0 in J 2.208 * [backup-simplify]: Simplify 0 into 0 2.208 * [taylor]: Taking taylor expansion of 0 in K 2.208 * [backup-simplify]: Simplify 0 into 0 2.208 * [backup-simplify]: Simplify 0 into 0 2.209 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 2.209 * * * * [progress]: [ 2 / 4 ] generating series at (2) 2.209 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -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)))) 2.209 * [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 J K) around 0 2.209 * [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 2.209 * [taylor]: Taking taylor expansion of -2 in K 2.209 * [backup-simplify]: Simplify -2 into -2 2.209 * [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 2.210 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 2.210 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 2.210 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 2.210 * [taylor]: Taking taylor expansion of 1/2 in K 2.210 * [backup-simplify]: Simplify 1/2 into 1/2 2.210 * [taylor]: Taking taylor expansion of K in K 2.210 * [backup-simplify]: Simplify 0 into 0 2.210 * [backup-simplify]: Simplify 1 into 1 2.210 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.211 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.211 * [taylor]: Taking taylor expansion of J in K 2.211 * [backup-simplify]: Simplify J into J 2.211 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 2.211 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 2.211 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 2.211 * [taylor]: Taking taylor expansion of 1/4 in K 2.211 * [backup-simplify]: Simplify 1/4 into 1/4 2.211 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 2.211 * [taylor]: Taking taylor expansion of (pow U 2) in K 2.212 * [taylor]: Taking taylor expansion of U in K 2.212 * [backup-simplify]: Simplify U into U 2.212 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 2.212 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 2.212 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 2.212 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 2.212 * [taylor]: Taking taylor expansion of 1/2 in K 2.212 * [backup-simplify]: Simplify 1/2 into 1/2 2.212 * [taylor]: Taking taylor expansion of K in K 2.212 * [backup-simplify]: Simplify 0 into 0 2.212 * [backup-simplify]: Simplify 1 into 1 2.212 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.213 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.213 * [taylor]: Taking taylor expansion of (pow J 2) in K 2.213 * [taylor]: Taking taylor expansion of J in K 2.213 * [backup-simplify]: Simplify J into J 2.213 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.214 * [backup-simplify]: Simplify (* 1 1) into 1 2.214 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.214 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 2.214 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 2.214 * [taylor]: Taking taylor expansion of 1 in K 2.214 * [backup-simplify]: Simplify 1 into 1 2.214 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 2.214 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 2.215 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 2.215 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 2.215 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.215 * [backup-simplify]: Simplify (+ 0) into 0 2.216 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.216 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 2.217 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 2.217 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 2.217 * [backup-simplify]: Simplify (+ 0 0) into 0 2.218 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 2.218 * [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 2.218 * [taylor]: Taking taylor expansion of -2 in J 2.218 * [backup-simplify]: Simplify -2 into -2 2.218 * [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 2.218 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 2.218 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 2.218 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 2.218 * [taylor]: Taking taylor expansion of 1/2 in J 2.218 * [backup-simplify]: Simplify 1/2 into 1/2 2.218 * [taylor]: Taking taylor expansion of K in J 2.218 * [backup-simplify]: Simplify K into K 2.218 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.218 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.218 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.218 * [taylor]: Taking taylor expansion of J in J 2.218 * [backup-simplify]: Simplify 0 into 0 2.218 * [backup-simplify]: Simplify 1 into 1 2.218 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 2.218 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 2.219 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 2.219 * [taylor]: Taking taylor expansion of 1/4 in J 2.219 * [backup-simplify]: Simplify 1/4 into 1/4 2.219 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 2.219 * [taylor]: Taking taylor expansion of (pow U 2) in J 2.219 * [taylor]: Taking taylor expansion of U in J 2.219 * [backup-simplify]: Simplify U into U 2.219 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 2.219 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 2.219 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 2.219 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 2.219 * [taylor]: Taking taylor expansion of 1/2 in J 2.219 * [backup-simplify]: Simplify 1/2 into 1/2 2.219 * [taylor]: Taking taylor expansion of K in J 2.219 * [backup-simplify]: Simplify K into K 2.219 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.219 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.219 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.219 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 2.219 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 2.220 * [backup-simplify]: Simplify (- 0) into 0 2.220 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 2.220 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.220 * [taylor]: Taking taylor expansion of J in J 2.220 * [backup-simplify]: Simplify 0 into 0 2.220 * [backup-simplify]: Simplify 1 into 1 2.220 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.220 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 2.221 * [backup-simplify]: Simplify (* 1 1) into 1 2.221 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 2.221 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 2.221 * [taylor]: Taking taylor expansion of 1 in J 2.221 * [backup-simplify]: Simplify 1 into 1 2.221 * [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))) 2.221 * [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))) 2.222 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 2.222 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 2.222 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.223 * [backup-simplify]: Simplify (+ 0) into 0 2.223 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 2.224 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 2.225 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.225 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 2.225 * [backup-simplify]: Simplify (- 0) into 0 2.226 * [backup-simplify]: Simplify (+ 0 0) into 0 2.226 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 2.226 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 2.227 * [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 2.227 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 2.228 * [backup-simplify]: Simplify (+ 0 0) into 0 2.228 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 2.228 * [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 2.228 * [taylor]: Taking taylor expansion of -2 in U 2.228 * [backup-simplify]: Simplify -2 into -2 2.228 * [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 2.228 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 2.228 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 2.228 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 2.228 * [taylor]: Taking taylor expansion of 1/2 in U 2.228 * [backup-simplify]: Simplify 1/2 into 1/2 2.228 * [taylor]: Taking taylor expansion of K in U 2.228 * [backup-simplify]: Simplify K into K 2.228 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.229 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.229 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.229 * [taylor]: Taking taylor expansion of J in U 2.229 * [backup-simplify]: Simplify J into J 2.229 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 2.229 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 2.229 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 2.229 * [taylor]: Taking taylor expansion of 1/4 in U 2.229 * [backup-simplify]: Simplify 1/4 into 1/4 2.229 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 2.229 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.229 * [taylor]: Taking taylor expansion of U in U 2.229 * [backup-simplify]: Simplify 0 into 0 2.229 * [backup-simplify]: Simplify 1 into 1 2.229 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 2.229 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 2.229 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 2.229 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 2.229 * [taylor]: Taking taylor expansion of 1/2 in U 2.229 * [backup-simplify]: Simplify 1/2 into 1/2 2.229 * [taylor]: Taking taylor expansion of K in U 2.229 * [backup-simplify]: Simplify K into K 2.229 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.229 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.229 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.229 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 2.230 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 2.230 * [backup-simplify]: Simplify (- 0) into 0 2.230 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 2.230 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.230 * [taylor]: Taking taylor expansion of J in U 2.230 * [backup-simplify]: Simplify J into J 2.231 * [backup-simplify]: Simplify (* 1 1) into 1 2.231 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 2.231 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.231 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 2.231 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 2.231 * [taylor]: Taking taylor expansion of 1 in U 2.231 * [backup-simplify]: Simplify 1 into 1 2.232 * [backup-simplify]: Simplify (+ 0 1) into 1 2.232 * [backup-simplify]: Simplify (sqrt 1) into 1 2.232 * [backup-simplify]: Simplify (+ 0 0) into 0 2.233 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.233 * [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 2.233 * [taylor]: Taking taylor expansion of -2 in U 2.233 * [backup-simplify]: Simplify -2 into -2 2.233 * [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 2.233 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 2.233 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 2.233 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 2.233 * [taylor]: Taking taylor expansion of 1/2 in U 2.233 * [backup-simplify]: Simplify 1/2 into 1/2 2.233 * [taylor]: Taking taylor expansion of K in U 2.233 * [backup-simplify]: Simplify K into K 2.233 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.234 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.234 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.234 * [taylor]: Taking taylor expansion of J in U 2.234 * [backup-simplify]: Simplify J into J 2.234 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 2.234 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 2.234 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 2.234 * [taylor]: Taking taylor expansion of 1/4 in U 2.234 * [backup-simplify]: Simplify 1/4 into 1/4 2.234 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 2.234 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.234 * [taylor]: Taking taylor expansion of U in U 2.234 * [backup-simplify]: Simplify 0 into 0 2.234 * [backup-simplify]: Simplify 1 into 1 2.234 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 2.234 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 2.234 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 2.234 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 2.234 * [taylor]: Taking taylor expansion of 1/2 in U 2.234 * [backup-simplify]: Simplify 1/2 into 1/2 2.234 * [taylor]: Taking taylor expansion of K in U 2.234 * [backup-simplify]: Simplify K into K 2.234 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.234 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.234 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.234 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 2.235 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 2.235 * [backup-simplify]: Simplify (- 0) into 0 2.235 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 2.235 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.235 * [taylor]: Taking taylor expansion of J in U 2.235 * [backup-simplify]: Simplify J into J 2.236 * [backup-simplify]: Simplify (* 1 1) into 1 2.236 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 2.236 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.236 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 2.236 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 2.236 * [taylor]: Taking taylor expansion of 1 in U 2.236 * [backup-simplify]: Simplify 1 into 1 2.237 * [backup-simplify]: Simplify (+ 0 1) into 1 2.237 * [backup-simplify]: Simplify (sqrt 1) into 1 2.237 * [backup-simplify]: Simplify (+ 0 0) into 0 2.238 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.239 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 2.239 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 2.239 * [backup-simplify]: Simplify (- 0) into 0 2.239 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 2.239 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 2.239 * [backup-simplify]: Simplify (* (* (cos (* 1/2 K)) J) 1) into (* (cos (* 1/2 K)) J) 2.239 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J)) 2.240 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J 2.240 * [taylor]: Taking taylor expansion of -2 in J 2.240 * [backup-simplify]: Simplify -2 into -2 2.240 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 2.240 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 2.240 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 2.240 * [taylor]: Taking taylor expansion of 1/2 in J 2.240 * [backup-simplify]: Simplify 1/2 into 1/2 2.240 * [taylor]: Taking taylor expansion of K in J 2.240 * [backup-simplify]: Simplify K into K 2.240 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.240 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.240 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.240 * [taylor]: Taking taylor expansion of J in J 2.240 * [backup-simplify]: Simplify 0 into 0 2.240 * [backup-simplify]: Simplify 1 into 1 2.240 * [backup-simplify]: Simplify (+ 0) into 0 2.241 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 2.241 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 2.242 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.243 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 2.243 * [backup-simplify]: Simplify (- 0) into 0 2.243 * [backup-simplify]: Simplify (+ 0 0) into 0 2.244 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 2.244 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (* 0 1)) into 0 2.245 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0 2.245 * [taylor]: Taking taylor expansion of 0 in J 2.245 * [backup-simplify]: Simplify 0 into 0 2.245 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 2.245 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 2.245 * [backup-simplify]: Simplify (- 0) into 0 2.245 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 2.246 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 2.246 * [backup-simplify]: Simplify (* -2 0) into 0 2.246 * [taylor]: Taking taylor expansion of 0 in K 2.246 * [backup-simplify]: Simplify 0 into 0 2.246 * [backup-simplify]: Simplify 0 into 0 2.246 * [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))) 2.247 * [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)))) 2.248 * [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))) 2.249 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.250 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.251 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 2.252 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.252 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.253 * [backup-simplify]: Simplify (- 0) into 0 2.253 * [backup-simplify]: Simplify (+ 0 0) into 0 2.254 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0 2.255 * [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))) 2.255 * [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)))) 2.255 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in J 2.255 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in J 2.255 * [taylor]: Taking taylor expansion of 1/4 in J 2.255 * [backup-simplify]: Simplify 1/4 into 1/4 2.255 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in J 2.255 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 2.255 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 2.255 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 2.255 * [taylor]: Taking taylor expansion of 1/2 in J 2.256 * [backup-simplify]: Simplify 1/2 into 1/2 2.256 * [taylor]: Taking taylor expansion of K in J 2.256 * [backup-simplify]: Simplify K into K 2.256 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.256 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.256 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.256 * [taylor]: Taking taylor expansion of J in J 2.256 * [backup-simplify]: Simplify 0 into 0 2.256 * [backup-simplify]: Simplify 1 into 1 2.256 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 2.256 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 2.256 * [backup-simplify]: Simplify (- 0) into 0 2.256 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 2.257 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 2.257 * [backup-simplify]: Simplify (+ 0) into 0 2.258 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 2.258 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 2.259 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.259 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 2.260 * [backup-simplify]: Simplify (- 0) into 0 2.260 * [backup-simplify]: Simplify (+ 0 0) into 0 2.261 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 2.261 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 K))) into (/ 1 (cos (* 1/2 K))) 2.261 * [backup-simplify]: Simplify (* 1/4 (/ 1 (cos (* 1/2 K)))) into (/ 1/4 (cos (* 1/2 K))) 2.261 * [backup-simplify]: Simplify (- (/ 1/4 (cos (* 1/2 K)))) into (- (* 1/4 (/ 1 (cos (* 1/2 K))))) 2.261 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (cos (* 1/2 K))))) in K 2.261 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (cos (* 1/2 K)))) in K 2.261 * [taylor]: Taking taylor expansion of 1/4 in K 2.261 * [backup-simplify]: Simplify 1/4 into 1/4 2.261 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 1/2 K))) in K 2.261 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 2.261 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 2.261 * [taylor]: Taking taylor expansion of 1/2 in K 2.261 * [backup-simplify]: Simplify 1/2 into 1/2 2.261 * [taylor]: Taking taylor expansion of K in K 2.261 * [backup-simplify]: Simplify 0 into 0 2.261 * [backup-simplify]: Simplify 1 into 1 2.262 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.262 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.263 * [backup-simplify]: Simplify (/ 1 1) into 1 2.263 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 2.263 * [backup-simplify]: Simplify (- 1/4) into -1/4 2.263 * [backup-simplify]: Simplify -1/4 into -1/4 2.264 * [taylor]: Taking taylor expansion of 0 in K 2.264 * [backup-simplify]: Simplify 0 into 0 2.264 * [backup-simplify]: Simplify 0 into 0 2.264 * [backup-simplify]: Simplify (+ 0) into 0 2.264 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 2.265 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 2.266 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.266 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 2.267 * [backup-simplify]: Simplify (- 0) into 0 2.267 * [backup-simplify]: Simplify (+ 0 0) into 0 2.267 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 2.268 * [backup-simplify]: Simplify (+ (* -2 (cos (* 1/2 K))) (* 0 0)) into (- (* 2 (cos (* 1/2 K)))) 2.268 * [taylor]: Taking taylor expansion of (- (* 2 (cos (* 1/2 K)))) in K 2.268 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K 2.268 * [taylor]: Taking taylor expansion of 2 in K 2.268 * [backup-simplify]: Simplify 2 into 2 2.268 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 2.268 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 2.268 * [taylor]: Taking taylor expansion of 1/2 in K 2.268 * [backup-simplify]: Simplify 1/2 into 1/2 2.268 * [taylor]: Taking taylor expansion of K in K 2.268 * [backup-simplify]: Simplify 0 into 0 2.268 * [backup-simplify]: Simplify 1 into 1 2.268 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.269 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.270 * [backup-simplify]: Simplify (* 2 1) into 2 2.270 * [backup-simplify]: Simplify (- 2) into -2 2.270 * [backup-simplify]: Simplify -2 into -2 2.270 * [backup-simplify]: Simplify 0 into 0 2.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.271 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.271 * [backup-simplify]: Simplify (+ 0) into 0 2.272 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 2.272 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 2.273 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.273 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 2.274 * [backup-simplify]: Simplify (- 0) into 0 2.274 * [backup-simplify]: Simplify (+ 0 0) into 0 2.274 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 2.274 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 2.275 * [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 2.276 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 2.276 * [backup-simplify]: Simplify (+ 0 0) into 0 2.277 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 2.278 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.279 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.280 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 2.281 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.282 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.282 * [backup-simplify]: Simplify (- 0) into 0 2.283 * [backup-simplify]: Simplify (+ 0 0) into 0 2.283 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 2.284 * [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 2.285 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0 2.285 * [taylor]: Taking taylor expansion of 0 in J 2.285 * [backup-simplify]: Simplify 0 into 0 2.286 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.287 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.288 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 2.288 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.289 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.289 * [backup-simplify]: Simplify (- 0) into 0 2.290 * [backup-simplify]: Simplify (+ 0 0) into 0 2.290 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 2.291 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 2.291 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (* 1/2 K))))) into 0 2.291 * [backup-simplify]: Simplify (- 0) into 0 2.292 * [taylor]: Taking taylor expansion of 0 in K 2.292 * [backup-simplify]: Simplify 0 into 0 2.292 * [backup-simplify]: Simplify 0 into 0 2.292 * [taylor]: Taking taylor expansion of 0 in K 2.292 * [backup-simplify]: Simplify 0 into 0 2.292 * [backup-simplify]: Simplify 0 into 0 2.293 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.293 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.294 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 2.295 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.296 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.296 * [backup-simplify]: Simplify (- 0) into 0 2.296 * [backup-simplify]: Simplify (+ 0 0) into 0 2.297 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 2.298 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0 2.298 * [taylor]: Taking taylor expansion of 0 in K 2.298 * [backup-simplify]: Simplify 0 into 0 2.298 * [backup-simplify]: Simplify 0 into 0 2.298 * [backup-simplify]: Simplify (+ 0) into 0 2.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.300 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 2.300 * [backup-simplify]: Simplify (- 0) into 0 2.300 * [backup-simplify]: Simplify 0 into 0 2.300 * [backup-simplify]: Simplify 0 into 0 2.301 * [backup-simplify]: Simplify (+ (* -2 (* 1 (* J 1))) (* -1/4 (* 1 (* (/ 1 J) (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 2.301 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) 1)) (* (cos (/ (/ 1 K) 2)) (* -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))) 2.301 * [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 J K) around 0 2.301 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in K 2.301 * [taylor]: Taking taylor expansion of -2 in K 2.301 * [backup-simplify]: Simplify -2 into -2 2.301 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in K 2.301 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 2.302 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 2.302 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 2.302 * [taylor]: Taking taylor expansion of 1/4 in K 2.302 * [backup-simplify]: Simplify 1/4 into 1/4 2.302 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 2.302 * [taylor]: Taking taylor expansion of (pow J 2) in K 2.302 * [taylor]: Taking taylor expansion of J in K 2.302 * [backup-simplify]: Simplify J into J 2.302 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 2.302 * [taylor]: Taking taylor expansion of (pow U 2) in K 2.302 * [taylor]: Taking taylor expansion of U in K 2.302 * [backup-simplify]: Simplify U into U 2.302 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 2.302 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 2.302 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 2.302 * [taylor]: Taking taylor expansion of 1/2 in K 2.302 * [backup-simplify]: Simplify 1/2 into 1/2 2.302 * [taylor]: Taking taylor expansion of K in K 2.302 * [backup-simplify]: Simplify 0 into 0 2.302 * [backup-simplify]: Simplify 1 into 1 2.302 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.303 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.303 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.303 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.303 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.303 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 2.303 * [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))) 2.303 * [taylor]: Taking taylor expansion of 1 in K 2.303 * [backup-simplify]: Simplify 1 into 1 2.303 * [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)))) 2.304 * [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) 2.304 * [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)) 2.304 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.304 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 2.304 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 2.305 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 2.305 * [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 2.306 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 2.306 * [backup-simplify]: Simplify (+ 0 0) into 0 2.307 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 2.307 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 2.307 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 2.307 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 2.307 * [taylor]: Taking taylor expansion of 1/2 in K 2.307 * [backup-simplify]: Simplify 1/2 into 1/2 2.307 * [taylor]: Taking taylor expansion of K in K 2.307 * [backup-simplify]: Simplify 0 into 0 2.307 * [backup-simplify]: Simplify 1 into 1 2.307 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.308 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.308 * [taylor]: Taking taylor expansion of J in K 2.308 * [backup-simplify]: Simplify J into J 2.308 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 2.308 * [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 2.308 * [taylor]: Taking taylor expansion of -2 in J 2.308 * [backup-simplify]: Simplify -2 into -2 2.308 * [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 2.308 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 2.308 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 2.308 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 2.308 * [taylor]: Taking taylor expansion of 1/4 in J 2.308 * [backup-simplify]: Simplify 1/4 into 1/4 2.308 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 2.308 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.308 * [taylor]: Taking taylor expansion of J in J 2.308 * [backup-simplify]: Simplify 0 into 0 2.308 * [backup-simplify]: Simplify 1 into 1 2.308 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 2.308 * [taylor]: Taking taylor expansion of (pow U 2) in J 2.308 * [taylor]: Taking taylor expansion of U in J 2.308 * [backup-simplify]: Simplify U into U 2.308 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 2.308 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 2.308 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 2.308 * [taylor]: Taking taylor expansion of 1/2 in J 2.308 * [backup-simplify]: Simplify 1/2 into 1/2 2.308 * [taylor]: Taking taylor expansion of K in J 2.308 * [backup-simplify]: Simplify K into K 2.308 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.308 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.308 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.309 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.309 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.314 * [backup-simplify]: Simplify (- 0) into 0 2.314 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.315 * [backup-simplify]: Simplify (* 1 1) into 1 2.315 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.315 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.315 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 2.315 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 2.315 * [taylor]: Taking taylor expansion of 1 in J 2.315 * [backup-simplify]: Simplify 1 into 1 2.316 * [backup-simplify]: Simplify (+ 0 1) into 1 2.316 * [backup-simplify]: Simplify (sqrt 1) into 1 2.317 * [backup-simplify]: Simplify (+ 0 0) into 0 2.318 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.318 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 2.318 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 2.318 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 2.318 * [taylor]: Taking taylor expansion of 1/2 in J 2.318 * [backup-simplify]: Simplify 1/2 into 1/2 2.318 * [taylor]: Taking taylor expansion of K in J 2.318 * [backup-simplify]: Simplify K into K 2.318 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.318 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.318 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.318 * [taylor]: Taking taylor expansion of J in J 2.318 * [backup-simplify]: Simplify 0 into 0 2.318 * [backup-simplify]: Simplify 1 into 1 2.318 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.318 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.319 * [backup-simplify]: Simplify (- 0) into 0 2.319 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.319 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.319 * [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 2.319 * [taylor]: Taking taylor expansion of -2 in U 2.319 * [backup-simplify]: Simplify -2 into -2 2.319 * [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 2.319 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 2.319 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 2.319 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 2.319 * [taylor]: Taking taylor expansion of 1/4 in U 2.319 * [backup-simplify]: Simplify 1/4 into 1/4 2.319 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 2.319 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.319 * [taylor]: Taking taylor expansion of J in U 2.319 * [backup-simplify]: Simplify J into J 2.319 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 2.319 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.319 * [taylor]: Taking taylor expansion of U in U 2.319 * [backup-simplify]: Simplify 0 into 0 2.319 * [backup-simplify]: Simplify 1 into 1 2.319 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 2.319 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 2.319 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 2.319 * [taylor]: Taking taylor expansion of 1/2 in U 2.319 * [backup-simplify]: Simplify 1/2 into 1/2 2.319 * [taylor]: Taking taylor expansion of K in U 2.319 * [backup-simplify]: Simplify K into K 2.319 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.319 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.320 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.320 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.320 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.320 * [backup-simplify]: Simplify (- 0) into 0 2.320 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.320 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.321 * [backup-simplify]: Simplify (* 1 1) into 1 2.321 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.321 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 2.321 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 2.321 * [taylor]: Taking taylor expansion of 1 in U 2.321 * [backup-simplify]: Simplify 1 into 1 2.321 * [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))) 2.322 * [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))) 2.322 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 2.322 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.322 * [backup-simplify]: Simplify (+ 0) into 0 2.323 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 2.323 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 2.324 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.324 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 2.325 * [backup-simplify]: Simplify (- 0) into 0 2.325 * [backup-simplify]: Simplify (+ 0 0) into 0 2.325 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 2.326 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.326 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 2.327 * [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 2.327 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 2.328 * [backup-simplify]: Simplify (+ 0 0) into 0 2.328 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 2.328 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 2.328 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 2.328 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 2.328 * [taylor]: Taking taylor expansion of 1/2 in U 2.328 * [backup-simplify]: Simplify 1/2 into 1/2 2.328 * [taylor]: Taking taylor expansion of K in U 2.328 * [backup-simplify]: Simplify K into K 2.328 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.328 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.328 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.328 * [taylor]: Taking taylor expansion of J in U 2.328 * [backup-simplify]: Simplify J into J 2.328 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.329 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.329 * [backup-simplify]: Simplify (- 0) into 0 2.329 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.329 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 2.329 * [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 2.329 * [taylor]: Taking taylor expansion of -2 in U 2.329 * [backup-simplify]: Simplify -2 into -2 2.329 * [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 2.329 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 2.329 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 2.329 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 2.329 * [taylor]: Taking taylor expansion of 1/4 in U 2.329 * [backup-simplify]: Simplify 1/4 into 1/4 2.329 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 2.329 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.329 * [taylor]: Taking taylor expansion of J in U 2.329 * [backup-simplify]: Simplify J into J 2.329 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 2.329 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.330 * [taylor]: Taking taylor expansion of U in U 2.330 * [backup-simplify]: Simplify 0 into 0 2.330 * [backup-simplify]: Simplify 1 into 1 2.330 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 2.330 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 2.330 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 2.330 * [taylor]: Taking taylor expansion of 1/2 in U 2.330 * [backup-simplify]: Simplify 1/2 into 1/2 2.330 * [taylor]: Taking taylor expansion of K in U 2.330 * [backup-simplify]: Simplify K into K 2.330 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.330 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.330 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.330 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.330 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.330 * [backup-simplify]: Simplify (- 0) into 0 2.331 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.331 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.331 * [backup-simplify]: Simplify (* 1 1) into 1 2.331 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.331 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 2.331 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 2.331 * [taylor]: Taking taylor expansion of 1 in U 2.331 * [backup-simplify]: Simplify 1 into 1 2.332 * [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))) 2.332 * [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))) 2.332 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 2.332 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.333 * [backup-simplify]: Simplify (+ 0) into 0 2.333 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 2.333 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 2.334 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.334 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 2.335 * [backup-simplify]: Simplify (- 0) into 0 2.335 * [backup-simplify]: Simplify (+ 0 0) into 0 2.335 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 2.336 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.336 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 2.337 * [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 2.337 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 2.338 * [backup-simplify]: Simplify (+ 0 0) into 0 2.338 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 2.338 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 2.338 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 2.338 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 2.338 * [taylor]: Taking taylor expansion of 1/2 in U 2.338 * [backup-simplify]: Simplify 1/2 into 1/2 2.338 * [taylor]: Taking taylor expansion of K in U 2.338 * [backup-simplify]: Simplify K into K 2.338 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.338 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.338 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.338 * [taylor]: Taking taylor expansion of J in U 2.338 * [backup-simplify]: Simplify J into J 2.339 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.339 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.339 * [backup-simplify]: Simplify (- 0) into 0 2.339 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.339 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 2.339 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ (cos (/ 1/2 K)) J)) into 1/2 2.340 * [backup-simplify]: Simplify (* -2 1/2) into -1 2.340 * [taylor]: Taking taylor expansion of -1 in J 2.340 * [backup-simplify]: Simplify -1 into -1 2.340 * [backup-simplify]: Simplify (+ 0) into 0 2.341 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 2.341 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 2.342 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.342 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 2.342 * [backup-simplify]: Simplify (- 0) into 0 2.343 * [backup-simplify]: Simplify (+ 0 0) into 0 2.343 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 2.343 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (/ (cos (/ 1/2 K)) J))) into 0 2.344 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0 2.344 * [taylor]: Taking taylor expansion of 0 in J 2.344 * [backup-simplify]: Simplify 0 into 0 2.344 * [taylor]: Taking taylor expansion of -1 in K 2.344 * [backup-simplify]: Simplify -1 into -1 2.344 * [backup-simplify]: Simplify -1 into -1 2.345 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.346 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.346 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.347 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.347 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.348 * [backup-simplify]: Simplify (- 0) into 0 2.348 * [backup-simplify]: Simplify (+ 0 0) into 0 2.348 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 2.349 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 2.349 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.350 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.350 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.351 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.352 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.352 * [backup-simplify]: Simplify (- 0) into 0 2.352 * [backup-simplify]: Simplify (+ 0 0) into 0 2.352 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 2.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 2.354 * [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 2.355 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 2.355 * [backup-simplify]: Simplify (+ 0 1) into 1 2.355 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 2.356 * [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)) 2.356 * [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)))) 2.356 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J 2.356 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J 2.356 * [taylor]: Taking taylor expansion of 2 in J 2.356 * [backup-simplify]: Simplify 2 into 2 2.357 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J 2.357 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 2.357 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 2.357 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 2.357 * [taylor]: Taking taylor expansion of 1/2 in J 2.357 * [backup-simplify]: Simplify 1/2 into 1/2 2.357 * [taylor]: Taking taylor expansion of K in J 2.357 * [backup-simplify]: Simplify K into K 2.357 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.357 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.357 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.357 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.357 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.357 * [backup-simplify]: Simplify (- 0) into 0 2.357 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.357 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.357 * [taylor]: Taking taylor expansion of J in J 2.357 * [backup-simplify]: Simplify 0 into 0 2.357 * [backup-simplify]: Simplify 1 into 1 2.357 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.358 * [backup-simplify]: Simplify (* 1 1) into 1 2.358 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 2.358 * [backup-simplify]: Simplify (+ 0) into 0 2.358 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 2.358 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 2.359 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.359 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 2.359 * [backup-simplify]: Simplify (- 0) into 0 2.360 * [backup-simplify]: Simplify (+ 0 0) into 0 2.360 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 2.360 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.361 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 2.361 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 2.361 * [backup-simplify]: Simplify (- 0) into 0 2.362 * [taylor]: Taking taylor expansion of 0 in K 2.362 * [backup-simplify]: Simplify 0 into 0 2.362 * [backup-simplify]: Simplify 0 into 0 2.362 * [taylor]: Taking taylor expansion of 0 in K 2.362 * [backup-simplify]: Simplify 0 into 0 2.362 * [backup-simplify]: Simplify 0 into 0 2.362 * [taylor]: Taking taylor expansion of 0 in K 2.362 * [backup-simplify]: Simplify 0 into 0 2.362 * [backup-simplify]: Simplify 0 into 0 2.362 * [backup-simplify]: Simplify 0 into 0 2.362 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.363 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.363 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.364 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.364 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.364 * [backup-simplify]: Simplify (- 0) into 0 2.365 * [backup-simplify]: Simplify (+ 0 0) into 0 2.365 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 2.365 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 2.366 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.366 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.367 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.367 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.368 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.368 * [backup-simplify]: Simplify (- 0) into 0 2.368 * [backup-simplify]: Simplify (+ 0 0) into 0 2.369 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 2.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 2.371 * [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 2.372 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 2.372 * [backup-simplify]: Simplify (+ 0 0) into 0 2.372 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 2.372 * [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 2.373 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 2.373 * [taylor]: Taking taylor expansion of 0 in J 2.373 * [backup-simplify]: Simplify 0 into 0 2.374 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.374 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.374 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.375 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.375 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.375 * [backup-simplify]: Simplify (- 0) into 0 2.376 * [backup-simplify]: Simplify (+ 0 0) into 0 2.376 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 2.377 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.377 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.378 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 2.378 * [backup-simplify]: Simplify (- 0) into 0 2.378 * [taylor]: Taking taylor expansion of 0 in K 2.378 * [backup-simplify]: Simplify 0 into 0 2.378 * [backup-simplify]: Simplify 0 into 0 2.378 * [taylor]: Taking taylor expansion of 0 in K 2.378 * [backup-simplify]: Simplify 0 into 0 2.378 * [backup-simplify]: Simplify 0 into 0 2.378 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U) 2.379 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) 1)) (* (cos (/ (/ 1 (- K)) 2)) (* -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)))))))) 2.379 * [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 J K) around 0 2.379 * [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 2.379 * [taylor]: Taking taylor expansion of 2 in K 2.379 * [backup-simplify]: Simplify 2 into 2 2.379 * [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 2.379 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 2.379 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 2.379 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 2.379 * [taylor]: Taking taylor expansion of -1/2 in K 2.379 * [backup-simplify]: Simplify -1/2 into -1/2 2.379 * [taylor]: Taking taylor expansion of K in K 2.379 * [backup-simplify]: Simplify 0 into 0 2.379 * [backup-simplify]: Simplify 1 into 1 2.379 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.380 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.380 * [taylor]: Taking taylor expansion of J in K 2.380 * [backup-simplify]: Simplify J into J 2.380 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 2.380 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 2.380 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 2.380 * [taylor]: Taking taylor expansion of 1 in K 2.380 * [backup-simplify]: Simplify 1 into 1 2.380 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 2.380 * [taylor]: Taking taylor expansion of 1/4 in K 2.380 * [backup-simplify]: Simplify 1/4 into 1/4 2.380 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 2.380 * [taylor]: Taking taylor expansion of (pow J 2) in K 2.380 * [taylor]: Taking taylor expansion of J in K 2.380 * [backup-simplify]: Simplify J into J 2.380 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 2.380 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 2.380 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 2.380 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 2.380 * [taylor]: Taking taylor expansion of -1/2 in K 2.380 * [backup-simplify]: Simplify -1/2 into -1/2 2.380 * [taylor]: Taking taylor expansion of K in K 2.380 * [backup-simplify]: Simplify 0 into 0 2.380 * [backup-simplify]: Simplify 1 into 1 2.380 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.380 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.380 * [taylor]: Taking taylor expansion of (pow U 2) in K 2.380 * [taylor]: Taking taylor expansion of U in K 2.380 * [backup-simplify]: Simplify U into U 2.380 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.380 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.381 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.381 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 2.381 * [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))) 2.381 * [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)))) 2.381 * [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))))) 2.381 * [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)))))) 2.381 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.381 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 2.381 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 2.382 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 2.382 * [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 2.382 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 2.383 * [backup-simplify]: Simplify (+ 0 0) into 0 2.383 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 2.383 * [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 2.383 * [taylor]: Taking taylor expansion of 2 in J 2.383 * [backup-simplify]: Simplify 2 into 2 2.383 * [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 2.383 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 2.383 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 2.383 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 2.383 * [taylor]: Taking taylor expansion of -1/2 in J 2.383 * [backup-simplify]: Simplify -1/2 into -1/2 2.383 * [taylor]: Taking taylor expansion of K in J 2.383 * [backup-simplify]: Simplify K into K 2.383 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.383 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.383 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.383 * [taylor]: Taking taylor expansion of J in J 2.383 * [backup-simplify]: Simplify 0 into 0 2.383 * [backup-simplify]: Simplify 1 into 1 2.383 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.383 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.384 * [backup-simplify]: Simplify (- 0) into 0 2.384 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.384 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.384 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 2.384 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 2.384 * [taylor]: Taking taylor expansion of 1 in J 2.384 * [backup-simplify]: Simplify 1 into 1 2.384 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 2.384 * [taylor]: Taking taylor expansion of 1/4 in J 2.384 * [backup-simplify]: Simplify 1/4 into 1/4 2.384 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 2.384 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.384 * [taylor]: Taking taylor expansion of J in J 2.384 * [backup-simplify]: Simplify 0 into 0 2.384 * [backup-simplify]: Simplify 1 into 1 2.384 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 2.384 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 2.384 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 2.384 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 2.384 * [taylor]: Taking taylor expansion of -1/2 in J 2.384 * [backup-simplify]: Simplify -1/2 into -1/2 2.384 * [taylor]: Taking taylor expansion of K in J 2.384 * [backup-simplify]: Simplify K into K 2.384 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.384 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.385 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.385 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.385 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.385 * [backup-simplify]: Simplify (- 0) into 0 2.385 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.385 * [taylor]: Taking taylor expansion of (pow U 2) in J 2.385 * [taylor]: Taking taylor expansion of U in J 2.385 * [backup-simplify]: Simplify U into U 2.385 * [backup-simplify]: Simplify (* 1 1) into 1 2.385 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.385 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.385 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 2.386 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 2.386 * [backup-simplify]: Simplify (+ 1 0) into 1 2.386 * [backup-simplify]: Simplify (sqrt 1) into 1 2.386 * [backup-simplify]: Simplify (+ 0 0) into 0 2.387 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.387 * [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 2.387 * [taylor]: Taking taylor expansion of 2 in U 2.387 * [backup-simplify]: Simplify 2 into 2 2.387 * [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 2.387 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 2.387 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 2.387 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 2.387 * [taylor]: Taking taylor expansion of -1/2 in U 2.387 * [backup-simplify]: Simplify -1/2 into -1/2 2.387 * [taylor]: Taking taylor expansion of K in U 2.387 * [backup-simplify]: Simplify K into K 2.387 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.387 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.387 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.387 * [taylor]: Taking taylor expansion of J in U 2.387 * [backup-simplify]: Simplify J into J 2.387 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.387 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.388 * [backup-simplify]: Simplify (- 0) into 0 2.388 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.388 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 2.388 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 2.388 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 2.388 * [taylor]: Taking taylor expansion of 1 in U 2.388 * [backup-simplify]: Simplify 1 into 1 2.388 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 2.388 * [taylor]: Taking taylor expansion of 1/4 in U 2.388 * [backup-simplify]: Simplify 1/4 into 1/4 2.388 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 2.388 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.388 * [taylor]: Taking taylor expansion of J in U 2.388 * [backup-simplify]: Simplify J into J 2.388 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 2.388 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 2.388 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 2.388 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 2.388 * [taylor]: Taking taylor expansion of -1/2 in U 2.388 * [backup-simplify]: Simplify -1/2 into -1/2 2.388 * [taylor]: Taking taylor expansion of K in U 2.388 * [backup-simplify]: Simplify K into K 2.388 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.388 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.388 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.388 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.388 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.388 * [backup-simplify]: Simplify (- 0) into 0 2.388 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.389 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.389 * [taylor]: Taking taylor expansion of U in U 2.389 * [backup-simplify]: Simplify 0 into 0 2.389 * [backup-simplify]: Simplify 1 into 1 2.389 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.389 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.389 * [backup-simplify]: Simplify (* 1 1) into 1 2.389 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 2.389 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 2.389 * [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))) 2.389 * [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))) 2.390 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 2.390 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.390 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.390 * [backup-simplify]: Simplify (+ 0) into 0 2.391 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.391 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.391 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.391 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.392 * [backup-simplify]: Simplify (- 0) into 0 2.392 * [backup-simplify]: Simplify (+ 0 0) into 0 2.392 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 2.393 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 2.393 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 2.394 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 2.394 * [backup-simplify]: Simplify (+ 0 0) into 0 2.394 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 2.394 * [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 2.394 * [taylor]: Taking taylor expansion of 2 in U 2.394 * [backup-simplify]: Simplify 2 into 2 2.394 * [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 2.395 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 2.395 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 2.395 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 2.395 * [taylor]: Taking taylor expansion of -1/2 in U 2.395 * [backup-simplify]: Simplify -1/2 into -1/2 2.395 * [taylor]: Taking taylor expansion of K in U 2.395 * [backup-simplify]: Simplify K into K 2.395 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.395 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.395 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.395 * [taylor]: Taking taylor expansion of J in U 2.395 * [backup-simplify]: Simplify J into J 2.395 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.395 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.395 * [backup-simplify]: Simplify (- 0) into 0 2.396 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.396 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 2.396 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 2.396 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 2.396 * [taylor]: Taking taylor expansion of 1 in U 2.396 * [backup-simplify]: Simplify 1 into 1 2.396 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 2.396 * [taylor]: Taking taylor expansion of 1/4 in U 2.396 * [backup-simplify]: Simplify 1/4 into 1/4 2.396 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 2.396 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.396 * [taylor]: Taking taylor expansion of J in U 2.396 * [backup-simplify]: Simplify J into J 2.396 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 2.396 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 2.396 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 2.396 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 2.396 * [taylor]: Taking taylor expansion of -1/2 in U 2.396 * [backup-simplify]: Simplify -1/2 into -1/2 2.396 * [taylor]: Taking taylor expansion of K in U 2.396 * [backup-simplify]: Simplify K into K 2.396 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.396 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.396 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.396 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.396 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.397 * [backup-simplify]: Simplify (- 0) into 0 2.397 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.397 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.397 * [taylor]: Taking taylor expansion of U in U 2.397 * [backup-simplify]: Simplify 0 into 0 2.397 * [backup-simplify]: Simplify 1 into 1 2.397 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.397 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.398 * [backup-simplify]: Simplify (* 1 1) into 1 2.398 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 2.398 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 2.398 * [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))) 2.398 * [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))) 2.399 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 2.399 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.399 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.400 * [backup-simplify]: Simplify (+ 0) into 0 2.400 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.401 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.401 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.402 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.402 * [backup-simplify]: Simplify (- 0) into 0 2.403 * [backup-simplify]: Simplify (+ 0 0) into 0 2.403 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 2.403 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 2.404 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 2.404 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 2.405 * [backup-simplify]: Simplify (+ 0 0) into 0 2.405 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 2.405 * [backup-simplify]: Simplify (* (/ (cos (/ -1/2 K)) J) (* 1/2 (/ J (cos (/ -1/2 K))))) into 1/2 2.405 * [backup-simplify]: Simplify (* 2 1/2) into 1 2.406 * [taylor]: Taking taylor expansion of 1 in J 2.406 * [backup-simplify]: Simplify 1 into 1 2.406 * [backup-simplify]: Simplify (+ 0) into 0 2.406 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.407 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.407 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.408 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.408 * [backup-simplify]: Simplify (- 0) into 0 2.408 * [backup-simplify]: Simplify (+ 0 0) into 0 2.409 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0 2.409 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 2.410 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0 2.410 * [taylor]: Taking taylor expansion of 0 in J 2.410 * [backup-simplify]: Simplify 0 into 0 2.410 * [taylor]: Taking taylor expansion of 1 in K 2.410 * [backup-simplify]: Simplify 1 into 1 2.410 * [backup-simplify]: Simplify 1 into 1 2.410 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 2.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.412 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.413 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.413 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.414 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.414 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.415 * [backup-simplify]: Simplify (- 0) into 0 2.415 * [backup-simplify]: Simplify (+ 0 0) into 0 2.415 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 2.416 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 2.417 * [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 2.418 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 2.418 * [backup-simplify]: Simplify (+ 1 0) into 1 2.419 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 2.420 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.420 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.421 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.422 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.422 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.423 * [backup-simplify]: Simplify (- 0) into 0 2.423 * [backup-simplify]: Simplify (+ 0 0) into 0 2.423 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 2.424 * [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)) 2.425 * [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))) 2.425 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J 2.425 * [taylor]: Taking taylor expansion of 2 in J 2.425 * [backup-simplify]: Simplify 2 into 2 2.425 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J 2.425 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 2.425 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 2.425 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 2.425 * [taylor]: Taking taylor expansion of -1/2 in J 2.425 * [backup-simplify]: Simplify -1/2 into -1/2 2.425 * [taylor]: Taking taylor expansion of K in J 2.425 * [backup-simplify]: Simplify K into K 2.425 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.425 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.425 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.425 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.425 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.426 * [backup-simplify]: Simplify (- 0) into 0 2.426 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.426 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.426 * [taylor]: Taking taylor expansion of J in J 2.426 * [backup-simplify]: Simplify 0 into 0 2.426 * [backup-simplify]: Simplify 1 into 1 2.426 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.427 * [backup-simplify]: Simplify (* 1 1) into 1 2.427 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 2.427 * [backup-simplify]: Simplify (+ 0) into 0 2.428 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.428 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.429 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.429 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.429 * [backup-simplify]: Simplify (- 0) into 0 2.430 * [backup-simplify]: Simplify (+ 0 0) into 0 2.430 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 2.431 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.432 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 2.432 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 2.432 * [taylor]: Taking taylor expansion of 0 in K 2.432 * [backup-simplify]: Simplify 0 into 0 2.432 * [backup-simplify]: Simplify 0 into 0 2.432 * [taylor]: Taking taylor expansion of 0 in K 2.432 * [backup-simplify]: Simplify 0 into 0 2.432 * [backup-simplify]: Simplify 0 into 0 2.432 * [taylor]: Taking taylor expansion of 0 in K 2.432 * [backup-simplify]: Simplify 0 into 0 2.432 * [backup-simplify]: Simplify 0 into 0 2.433 * [backup-simplify]: Simplify 0 into 0 2.433 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 2.439 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.441 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.442 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.442 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.444 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.445 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.445 * [backup-simplify]: Simplify (- 0) into 0 2.445 * [backup-simplify]: Simplify (+ 0 0) into 0 2.446 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 2.447 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.448 * [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 2.449 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 2.450 * [backup-simplify]: Simplify (+ 0 0) into 0 2.450 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 2.451 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.452 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.452 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.454 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.454 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.455 * [backup-simplify]: Simplify (- 0) into 0 2.455 * [backup-simplify]: Simplify (+ 0 0) into 0 2.456 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 2.456 * [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 2.457 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 2.457 * [taylor]: Taking taylor expansion of 0 in J 2.457 * [backup-simplify]: Simplify 0 into 0 2.457 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.458 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.458 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.458 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.459 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.459 * [backup-simplify]: Simplify (- 0) into 0 2.459 * [backup-simplify]: Simplify (+ 0 0) into 0 2.460 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 2.460 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.461 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.462 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0 2.462 * [taylor]: Taking taylor expansion of 0 in K 2.462 * [backup-simplify]: Simplify 0 into 0 2.462 * [backup-simplify]: Simplify 0 into 0 2.462 * [taylor]: Taking taylor expansion of 0 in K 2.462 * [backup-simplify]: Simplify 0 into 0 2.462 * [backup-simplify]: Simplify 0 into 0 2.462 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U) 2.462 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 2.462 * [backup-simplify]: Simplify (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 2.462 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in (U J K) around 0 2.462 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 2.462 * [taylor]: Taking taylor expansion of 1/4 in K 2.462 * [backup-simplify]: Simplify 1/4 into 1/4 2.462 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 2.462 * [taylor]: Taking taylor expansion of (pow U 2) in K 2.462 * [taylor]: Taking taylor expansion of U in K 2.462 * [backup-simplify]: Simplify U into U 2.462 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 2.462 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 2.462 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 2.462 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 2.462 * [taylor]: Taking taylor expansion of 1/2 in K 2.462 * [backup-simplify]: Simplify 1/2 into 1/2 2.462 * [taylor]: Taking taylor expansion of K in K 2.462 * [backup-simplify]: Simplify 0 into 0 2.462 * [backup-simplify]: Simplify 1 into 1 2.463 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.463 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.463 * [taylor]: Taking taylor expansion of (pow J 2) in K 2.463 * [taylor]: Taking taylor expansion of J in K 2.463 * [backup-simplify]: Simplify J into J 2.463 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.463 * [backup-simplify]: Simplify (* 1 1) into 1 2.463 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.463 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 2.464 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 2.464 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 2.464 * [taylor]: Taking taylor expansion of 1/4 in J 2.464 * [backup-simplify]: Simplify 1/4 into 1/4 2.464 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 2.464 * [taylor]: Taking taylor expansion of (pow U 2) in J 2.464 * [taylor]: Taking taylor expansion of U in J 2.464 * [backup-simplify]: Simplify U into U 2.464 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 2.464 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 2.464 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 2.464 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 2.464 * [taylor]: Taking taylor expansion of 1/2 in J 2.464 * [backup-simplify]: Simplify 1/2 into 1/2 2.464 * [taylor]: Taking taylor expansion of K in J 2.464 * [backup-simplify]: Simplify K into K 2.464 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.464 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.464 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.464 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 2.464 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 2.464 * [backup-simplify]: Simplify (- 0) into 0 2.464 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 2.464 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.464 * [taylor]: Taking taylor expansion of J in J 2.464 * [backup-simplify]: Simplify 0 into 0 2.464 * [backup-simplify]: Simplify 1 into 1 2.464 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.464 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 2.465 * [backup-simplify]: Simplify (* 1 1) into 1 2.465 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 2.465 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 2.465 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 2.465 * [taylor]: Taking taylor expansion of 1/4 in U 2.465 * [backup-simplify]: Simplify 1/4 into 1/4 2.465 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 2.465 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.465 * [taylor]: Taking taylor expansion of U in U 2.465 * [backup-simplify]: Simplify 0 into 0 2.465 * [backup-simplify]: Simplify 1 into 1 2.465 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 2.465 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 2.465 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 2.465 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 2.465 * [taylor]: Taking taylor expansion of 1/2 in U 2.465 * [backup-simplify]: Simplify 1/2 into 1/2 2.465 * [taylor]: Taking taylor expansion of K in U 2.465 * [backup-simplify]: Simplify K into K 2.465 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.465 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.465 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.465 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 2.465 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 2.466 * [backup-simplify]: Simplify (- 0) into 0 2.466 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 2.466 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.466 * [taylor]: Taking taylor expansion of J in U 2.466 * [backup-simplify]: Simplify J into J 2.466 * [backup-simplify]: Simplify (* 1 1) into 1 2.466 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 2.466 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.466 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 2.466 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 2.466 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 2.466 * [taylor]: Taking taylor expansion of 1/4 in U 2.466 * [backup-simplify]: Simplify 1/4 into 1/4 2.466 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 2.466 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.466 * [taylor]: Taking taylor expansion of U in U 2.466 * [backup-simplify]: Simplify 0 into 0 2.466 * [backup-simplify]: Simplify 1 into 1 2.466 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 2.466 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 2.466 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 2.466 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 2.467 * [taylor]: Taking taylor expansion of 1/2 in U 2.467 * [backup-simplify]: Simplify 1/2 into 1/2 2.467 * [taylor]: Taking taylor expansion of K in U 2.467 * [backup-simplify]: Simplify K into K 2.467 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.467 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.467 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.467 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 2.467 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 2.467 * [backup-simplify]: Simplify (- 0) into 0 2.467 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 2.467 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.467 * [taylor]: Taking taylor expansion of J in U 2.467 * [backup-simplify]: Simplify J into J 2.467 * [backup-simplify]: Simplify (* 1 1) into 1 2.467 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 2.467 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.468 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 2.468 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 2.468 * [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))) 2.468 * [taylor]: Taking taylor expansion of (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 2.468 * [taylor]: Taking taylor expansion of 1/4 in J 2.468 * [backup-simplify]: Simplify 1/4 into 1/4 2.468 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 2.468 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 2.468 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 2.468 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 2.468 * [taylor]: Taking taylor expansion of 1/2 in J 2.468 * [backup-simplify]: Simplify 1/2 into 1/2 2.468 * [taylor]: Taking taylor expansion of K in J 2.468 * [backup-simplify]: Simplify K into K 2.468 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.468 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.468 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.468 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 2.468 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 2.469 * [backup-simplify]: Simplify (- 0) into 0 2.469 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 2.469 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.469 * [taylor]: Taking taylor expansion of J in J 2.469 * [backup-simplify]: Simplify 0 into 0 2.469 * [backup-simplify]: Simplify 1 into 1 2.469 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 2.469 * [backup-simplify]: Simplify (* 1 1) into 1 2.469 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 2.469 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (* 1/2 K)) 2)) into (/ 1/4 (pow (cos (* 1/2 K)) 2)) 2.469 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (* 1/2 K)) 2)) in K 2.469 * [taylor]: Taking taylor expansion of 1/4 in K 2.469 * [backup-simplify]: Simplify 1/4 into 1/4 2.469 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 2.469 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 2.469 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 2.469 * [taylor]: Taking taylor expansion of 1/2 in K 2.469 * [backup-simplify]: Simplify 1/2 into 1/2 2.469 * [taylor]: Taking taylor expansion of K in K 2.469 * [backup-simplify]: Simplify 0 into 0 2.469 * [backup-simplify]: Simplify 1 into 1 2.470 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.470 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.470 * [backup-simplify]: Simplify (* 1 1) into 1 2.471 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 2.471 * [backup-simplify]: Simplify 1/4 into 1/4 2.471 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.471 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.472 * [backup-simplify]: Simplify (+ 0) into 0 2.472 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 2.472 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 2.473 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.473 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 2.473 * [backup-simplify]: Simplify (- 0) into 0 2.474 * [backup-simplify]: Simplify (+ 0 0) into 0 2.474 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 2.474 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 2.474 * [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 2.474 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 2.474 * [taylor]: Taking taylor expansion of 0 in J 2.475 * [backup-simplify]: Simplify 0 into 0 2.475 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.475 * [backup-simplify]: Simplify (+ 0) into 0 2.475 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 2.476 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 2.476 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.477 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 2.477 * [backup-simplify]: Simplify (- 0) into 0 2.477 * [backup-simplify]: Simplify (+ 0 0) into 0 2.477 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 2.478 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 2.478 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 2.478 * [taylor]: Taking taylor expansion of 0 in K 2.478 * [backup-simplify]: Simplify 0 into 0 2.478 * [backup-simplify]: Simplify 0 into 0 2.478 * [backup-simplify]: Simplify (+ 0) into 0 2.479 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.479 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 2.479 * [backup-simplify]: Simplify 0 into 0 2.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.480 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 2.480 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.481 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.481 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 2.482 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.482 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.483 * [backup-simplify]: Simplify (- 0) into 0 2.483 * [backup-simplify]: Simplify (+ 0 0) into 0 2.483 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 2.483 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0 2.484 * [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 2.484 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 2.484 * [taylor]: Taking taylor expansion of 0 in J 2.484 * [backup-simplify]: Simplify 0 into 0 2.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.486 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.486 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.487 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 2.487 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.487 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.488 * [backup-simplify]: Simplify (- 0) into 0 2.488 * [backup-simplify]: Simplify (+ 0 0) into 0 2.488 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 2.489 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 2.489 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 2.489 * [taylor]: Taking taylor expansion of 0 in K 2.489 * [backup-simplify]: Simplify 0 into 0 2.489 * [backup-simplify]: Simplify 0 into 0 2.489 * [backup-simplify]: Simplify 0 into 0 2.490 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 2.490 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (* -1/8 1))) into -1/4 2.491 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ -1/4 1)) (* 0 (/ 0 1)))) into 1/16 2.491 * [backup-simplify]: Simplify 1/16 into 1/16 2.492 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.492 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 2.493 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.493 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.494 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 2.495 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.495 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.495 * [backup-simplify]: Simplify (- 0) into 0 2.496 * [backup-simplify]: Simplify (+ 0 0) into 0 2.496 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0 2.497 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2))))) into 0 2.497 * [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 2.498 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) into 0 2.498 * [taylor]: Taking taylor expansion of 0 in J 2.498 * [backup-simplify]: Simplify 0 into 0 2.498 * [taylor]: Taking taylor expansion of 0 in K 2.498 * [backup-simplify]: Simplify 0 into 0 2.498 * [backup-simplify]: Simplify 0 into 0 2.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.499 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.500 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.501 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 2.501 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.502 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.502 * [backup-simplify]: Simplify (- 0) into 0 2.502 * [backup-simplify]: Simplify (+ 0 0) into 0 2.503 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0 2.503 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.504 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/4 (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 2.504 * [taylor]: Taking taylor expansion of 0 in K 2.504 * [backup-simplify]: Simplify 0 into 0 2.504 * [backup-simplify]: Simplify 0 into 0 2.504 * [backup-simplify]: Simplify 0 into 0 2.504 * [backup-simplify]: Simplify 0 into 0 2.504 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 2.505 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/8) (+ (* -1/8 0) (* 0 1)))) into 0 2.507 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ -1/4 1)) (* 1/16 (/ 0 1)))) into 0 2.507 * [backup-simplify]: Simplify 0 into 0 2.508 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.509 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 J))))) into 0 2.511 * [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 2.512 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.514 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0 2.515 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 2.516 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 2.516 * [backup-simplify]: Simplify (- 0) into 0 2.517 * [backup-simplify]: Simplify (+ 0 0) into 0 2.518 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))))) into 0 2.519 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2)))))) into 0 2.520 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 2.522 * [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 2.522 * [taylor]: Taking taylor expansion of 0 in J 2.522 * [backup-simplify]: Simplify 0 into 0 2.522 * [taylor]: Taking taylor expansion of 0 in K 2.522 * [backup-simplify]: Simplify 0 into 0 2.522 * [backup-simplify]: Simplify 0 into 0 2.523 * [backup-simplify]: Simplify (+ (* 1/16 (pow (* K (* (/ 1 J) U)) 2)) (* 1/4 (pow (* 1 (* (/ 1 J) U)) 2))) into (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))) 2.523 * [backup-simplify]: Simplify (* (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 2.523 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in (U J K) around 0 2.523 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 2.523 * [taylor]: Taking taylor expansion of 1/4 in K 2.523 * [backup-simplify]: Simplify 1/4 into 1/4 2.523 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 2.523 * [taylor]: Taking taylor expansion of (pow J 2) in K 2.523 * [taylor]: Taking taylor expansion of J in K 2.523 * [backup-simplify]: Simplify J into J 2.523 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 2.523 * [taylor]: Taking taylor expansion of (pow U 2) in K 2.523 * [taylor]: Taking taylor expansion of U in K 2.523 * [backup-simplify]: Simplify U into U 2.523 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 2.524 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 2.524 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 2.524 * [taylor]: Taking taylor expansion of 1/2 in K 2.524 * [backup-simplify]: Simplify 1/2 into 1/2 2.524 * [taylor]: Taking taylor expansion of K in K 2.524 * [backup-simplify]: Simplify 0 into 0 2.524 * [backup-simplify]: Simplify 1 into 1 2.524 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.524 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.524 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.524 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.525 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.525 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 2.525 * [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))) 2.525 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 2.525 * [taylor]: Taking taylor expansion of 1/4 in J 2.525 * [backup-simplify]: Simplify 1/4 into 1/4 2.525 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 2.525 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.525 * [taylor]: Taking taylor expansion of J in J 2.525 * [backup-simplify]: Simplify 0 into 0 2.525 * [backup-simplify]: Simplify 1 into 1 2.525 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 2.525 * [taylor]: Taking taylor expansion of (pow U 2) in J 2.525 * [taylor]: Taking taylor expansion of U in J 2.525 * [backup-simplify]: Simplify U into U 2.525 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 2.525 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 2.525 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 2.525 * [taylor]: Taking taylor expansion of 1/2 in J 2.525 * [backup-simplify]: Simplify 1/2 into 1/2 2.525 * [taylor]: Taking taylor expansion of K in J 2.525 * [backup-simplify]: Simplify K into K 2.525 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.525 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.526 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.526 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.526 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.526 * [backup-simplify]: Simplify (- 0) into 0 2.526 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.527 * [backup-simplify]: Simplify (* 1 1) into 1 2.527 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.527 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.527 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 2.527 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 2.527 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 2.527 * [taylor]: Taking taylor expansion of 1/4 in U 2.527 * [backup-simplify]: Simplify 1/4 into 1/4 2.527 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 2.527 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.527 * [taylor]: Taking taylor expansion of J in U 2.527 * [backup-simplify]: Simplify J into J 2.527 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 2.527 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.527 * [taylor]: Taking taylor expansion of U in U 2.527 * [backup-simplify]: Simplify 0 into 0 2.527 * [backup-simplify]: Simplify 1 into 1 2.527 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 2.528 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 2.528 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 2.528 * [taylor]: Taking taylor expansion of 1/2 in U 2.528 * [backup-simplify]: Simplify 1/2 into 1/2 2.528 * [taylor]: Taking taylor expansion of K in U 2.528 * [backup-simplify]: Simplify K into K 2.528 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.528 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.528 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.528 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.528 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.528 * [backup-simplify]: Simplify (- 0) into 0 2.528 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.529 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.529 * [backup-simplify]: Simplify (* 1 1) into 1 2.529 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.529 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 2.529 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 2.529 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 2.529 * [taylor]: Taking taylor expansion of 1/4 in U 2.529 * [backup-simplify]: Simplify 1/4 into 1/4 2.529 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 2.530 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.530 * [taylor]: Taking taylor expansion of J in U 2.530 * [backup-simplify]: Simplify J into J 2.530 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 2.530 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.530 * [taylor]: Taking taylor expansion of U in U 2.530 * [backup-simplify]: Simplify 0 into 0 2.530 * [backup-simplify]: Simplify 1 into 1 2.530 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 2.530 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 2.530 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 2.530 * [taylor]: Taking taylor expansion of 1/2 in U 2.530 * [backup-simplify]: Simplify 1/2 into 1/2 2.530 * [taylor]: Taking taylor expansion of K in U 2.530 * [backup-simplify]: Simplify K into K 2.530 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.530 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.530 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.530 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.530 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.531 * [backup-simplify]: Simplify (- 0) into 0 2.531 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.531 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.531 * [backup-simplify]: Simplify (* 1 1) into 1 2.532 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.532 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 2.532 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 2.532 * [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))) 2.532 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 2.532 * [taylor]: Taking taylor expansion of 1/4 in J 2.532 * [backup-simplify]: Simplify 1/4 into 1/4 2.532 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 2.532 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.532 * [taylor]: Taking taylor expansion of J in J 2.532 * [backup-simplify]: Simplify 0 into 0 2.532 * [backup-simplify]: Simplify 1 into 1 2.532 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 2.533 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 2.533 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 2.533 * [taylor]: Taking taylor expansion of 1/2 in J 2.533 * [backup-simplify]: Simplify 1/2 into 1/2 2.533 * [taylor]: Taking taylor expansion of K in J 2.533 * [backup-simplify]: Simplify K into K 2.533 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.533 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.533 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.533 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.533 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.534 * [backup-simplify]: Simplify (- 0) into 0 2.534 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.534 * [backup-simplify]: Simplify (* 1 1) into 1 2.534 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.534 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 2.534 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 2.535 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ 1/2 K)) 2)) in K 2.535 * [taylor]: Taking taylor expansion of 1/4 in K 2.535 * [backup-simplify]: Simplify 1/4 into 1/4 2.535 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 2.535 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 2.535 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 2.535 * [taylor]: Taking taylor expansion of 1/2 in K 2.535 * [backup-simplify]: Simplify 1/2 into 1/2 2.535 * [taylor]: Taking taylor expansion of K in K 2.535 * [backup-simplify]: Simplify 0 into 0 2.535 * [backup-simplify]: Simplify 1 into 1 2.535 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.535 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.535 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.536 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 2.536 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 2.536 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.536 * [backup-simplify]: Simplify (+ 0) into 0 2.537 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 2.537 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 2.538 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.538 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 2.539 * [backup-simplify]: Simplify (- 0) into 0 2.539 * [backup-simplify]: Simplify (+ 0 0) into 0 2.539 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 2.540 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.541 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 2.541 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 2.542 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 2.542 * [taylor]: Taking taylor expansion of 0 in J 2.542 * [backup-simplify]: Simplify 0 into 0 2.542 * [taylor]: Taking taylor expansion of 0 in K 2.542 * [backup-simplify]: Simplify 0 into 0 2.542 * [backup-simplify]: Simplify 0 into 0 2.543 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.543 * [backup-simplify]: Simplify (+ 0) into 0 2.544 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 2.544 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 2.544 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.545 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 2.545 * [backup-simplify]: Simplify (- 0) into 0 2.546 * [backup-simplify]: Simplify (+ 0 0) into 0 2.546 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 2.546 * [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 2.547 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 2.547 * [taylor]: Taking taylor expansion of 0 in K 2.547 * [backup-simplify]: Simplify 0 into 0 2.547 * [backup-simplify]: Simplify 0 into 0 2.547 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 2.547 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 2.547 * [backup-simplify]: Simplify 0 into 0 2.548 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 2.549 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.550 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.550 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.556 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.557 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.557 * [backup-simplify]: Simplify (- 0) into 0 2.557 * [backup-simplify]: Simplify (+ 0 0) into 0 2.558 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 2.559 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 2.560 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 2.561 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 2.561 * [taylor]: Taking taylor expansion of 0 in J 2.561 * [backup-simplify]: Simplify 0 into 0 2.561 * [taylor]: Taking taylor expansion of 0 in K 2.561 * [backup-simplify]: Simplify 0 into 0 2.561 * [backup-simplify]: Simplify 0 into 0 2.562 * [taylor]: Taking taylor expansion of 0 in K 2.562 * [backup-simplify]: Simplify 0 into 0 2.562 * [backup-simplify]: Simplify 0 into 0 2.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.564 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.564 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.564 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.565 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.566 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.566 * [backup-simplify]: Simplify (- 0) into 0 2.567 * [backup-simplify]: Simplify (+ 0 0) into 0 2.567 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 2.568 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 2.569 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 2.569 * [taylor]: Taking taylor expansion of 0 in K 2.569 * [backup-simplify]: Simplify 0 into 0 2.569 * [backup-simplify]: Simplify 0 into 0 2.569 * [backup-simplify]: Simplify (* (/ 1/4 (pow (cos (/ 1/2 (/ 1 K))) 2)) (pow (* 1 (* (/ 1 J) (/ 1 (/ 1 U)))) 2)) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 2.570 * [backup-simplify]: Simplify (* (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 2.570 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in (U J K) around 0 2.570 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 2.570 * [taylor]: Taking taylor expansion of 1/4 in K 2.570 * [backup-simplify]: Simplify 1/4 into 1/4 2.570 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 2.570 * [taylor]: Taking taylor expansion of (pow J 2) in K 2.570 * [taylor]: Taking taylor expansion of J in K 2.570 * [backup-simplify]: Simplify J into J 2.570 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 2.570 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 2.570 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 2.570 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 2.570 * [taylor]: Taking taylor expansion of -1/2 in K 2.570 * [backup-simplify]: Simplify -1/2 into -1/2 2.570 * [taylor]: Taking taylor expansion of K in K 2.570 * [backup-simplify]: Simplify 0 into 0 2.570 * [backup-simplify]: Simplify 1 into 1 2.571 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.571 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.571 * [taylor]: Taking taylor expansion of (pow U 2) in K 2.571 * [taylor]: Taking taylor expansion of U in K 2.571 * [backup-simplify]: Simplify U into U 2.571 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.571 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.571 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.571 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 2.571 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 2.571 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 2.571 * [taylor]: Taking taylor expansion of 1/4 in J 2.572 * [backup-simplify]: Simplify 1/4 into 1/4 2.572 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 2.572 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.572 * [taylor]: Taking taylor expansion of J in J 2.572 * [backup-simplify]: Simplify 0 into 0 2.572 * [backup-simplify]: Simplify 1 into 1 2.572 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 2.572 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 2.572 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 2.572 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 2.572 * [taylor]: Taking taylor expansion of -1/2 in J 2.572 * [backup-simplify]: Simplify -1/2 into -1/2 2.572 * [taylor]: Taking taylor expansion of K in J 2.572 * [backup-simplify]: Simplify K into K 2.572 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.572 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.572 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.572 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.573 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.573 * [backup-simplify]: Simplify (- 0) into 0 2.573 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.573 * [taylor]: Taking taylor expansion of (pow U 2) in J 2.573 * [taylor]: Taking taylor expansion of U in J 2.573 * [backup-simplify]: Simplify U into U 2.574 * [backup-simplify]: Simplify (* 1 1) into 1 2.574 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.574 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.574 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 2.574 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 2.574 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 2.574 * [taylor]: Taking taylor expansion of 1/4 in U 2.574 * [backup-simplify]: Simplify 1/4 into 1/4 2.574 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 2.574 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.574 * [taylor]: Taking taylor expansion of J in U 2.574 * [backup-simplify]: Simplify J into J 2.574 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 2.575 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 2.575 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 2.575 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 2.575 * [taylor]: Taking taylor expansion of -1/2 in U 2.575 * [backup-simplify]: Simplify -1/2 into -1/2 2.575 * [taylor]: Taking taylor expansion of K in U 2.575 * [backup-simplify]: Simplify K into K 2.575 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.575 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.575 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.575 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.575 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.576 * [backup-simplify]: Simplify (- 0) into 0 2.576 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.576 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.576 * [taylor]: Taking taylor expansion of U in U 2.576 * [backup-simplify]: Simplify 0 into 0 2.576 * [backup-simplify]: Simplify 1 into 1 2.576 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.576 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.577 * [backup-simplify]: Simplify (* 1 1) into 1 2.577 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 2.577 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 2.577 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 2.577 * [taylor]: Taking taylor expansion of 1/4 in U 2.577 * [backup-simplify]: Simplify 1/4 into 1/4 2.577 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 2.577 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.577 * [taylor]: Taking taylor expansion of J in U 2.577 * [backup-simplify]: Simplify J into J 2.577 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 2.577 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 2.577 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 2.577 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 2.577 * [taylor]: Taking taylor expansion of -1/2 in U 2.577 * [backup-simplify]: Simplify -1/2 into -1/2 2.577 * [taylor]: Taking taylor expansion of K in U 2.577 * [backup-simplify]: Simplify K into K 2.577 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.578 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.578 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.578 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.578 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.578 * [backup-simplify]: Simplify (- 0) into 0 2.578 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.578 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.578 * [taylor]: Taking taylor expansion of U in U 2.578 * [backup-simplify]: Simplify 0 into 0 2.578 * [backup-simplify]: Simplify 1 into 1 2.579 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.579 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.579 * [backup-simplify]: Simplify (* 1 1) into 1 2.579 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 2.579 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 2.580 * [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))) 2.580 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 2.580 * [taylor]: Taking taylor expansion of 1/4 in J 2.580 * [backup-simplify]: Simplify 1/4 into 1/4 2.580 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 2.580 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.580 * [taylor]: Taking taylor expansion of J in J 2.580 * [backup-simplify]: Simplify 0 into 0 2.580 * [backup-simplify]: Simplify 1 into 1 2.580 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 2.580 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 2.580 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 2.580 * [taylor]: Taking taylor expansion of -1/2 in J 2.580 * [backup-simplify]: Simplify -1/2 into -1/2 2.580 * [taylor]: Taking taylor expansion of K in J 2.580 * [backup-simplify]: Simplify K into K 2.580 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.580 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.580 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.580 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.581 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.581 * [backup-simplify]: Simplify (- 0) into 0 2.581 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.581 * [backup-simplify]: Simplify (* 1 1) into 1 2.582 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.582 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 2.582 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 2.582 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ -1/2 K)) 2)) in K 2.582 * [taylor]: Taking taylor expansion of 1/4 in K 2.582 * [backup-simplify]: Simplify 1/4 into 1/4 2.582 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 2.582 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 2.582 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 2.582 * [taylor]: Taking taylor expansion of -1/2 in K 2.582 * [backup-simplify]: Simplify -1/2 into -1/2 2.582 * [taylor]: Taking taylor expansion of K in K 2.582 * [backup-simplify]: Simplify 0 into 0 2.582 * [backup-simplify]: Simplify 1 into 1 2.583 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.583 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.583 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.583 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 2.583 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 2.583 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.584 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.584 * [backup-simplify]: Simplify (+ 0) into 0 2.585 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.585 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.586 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.586 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.587 * [backup-simplify]: Simplify (- 0) into 0 2.587 * [backup-simplify]: Simplify (+ 0 0) into 0 2.587 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 2.588 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 2.588 * [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 2.589 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 2.589 * [taylor]: Taking taylor expansion of 0 in J 2.589 * [backup-simplify]: Simplify 0 into 0 2.589 * [taylor]: Taking taylor expansion of 0 in K 2.589 * [backup-simplify]: Simplify 0 into 0 2.589 * [backup-simplify]: Simplify 0 into 0 2.590 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.590 * [backup-simplify]: Simplify (+ 0) into 0 2.591 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.591 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.592 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.592 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.592 * [backup-simplify]: Simplify (- 0) into 0 2.593 * [backup-simplify]: Simplify (+ 0 0) into 0 2.593 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 2.593 * [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 2.594 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 2.594 * [taylor]: Taking taylor expansion of 0 in K 2.594 * [backup-simplify]: Simplify 0 into 0 2.594 * [backup-simplify]: Simplify 0 into 0 2.594 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 2.594 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 2.594 * [backup-simplify]: Simplify 0 into 0 2.595 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 2.596 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.597 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.597 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.598 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.598 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.599 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.599 * [backup-simplify]: Simplify (- 0) into 0 2.600 * [backup-simplify]: Simplify (+ 0 0) into 0 2.600 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 2.601 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 2.601 * [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 2.602 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 2.602 * [taylor]: Taking taylor expansion of 0 in J 2.602 * [backup-simplify]: Simplify 0 into 0 2.602 * [taylor]: Taking taylor expansion of 0 in K 2.602 * [backup-simplify]: Simplify 0 into 0 2.602 * [backup-simplify]: Simplify 0 into 0 2.602 * [taylor]: Taking taylor expansion of 0 in K 2.602 * [backup-simplify]: Simplify 0 into 0 2.603 * [backup-simplify]: Simplify 0 into 0 2.603 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.604 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.605 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.606 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.606 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.607 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.607 * [backup-simplify]: Simplify (- 0) into 0 2.608 * [backup-simplify]: Simplify (+ 0 0) into 0 2.608 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 2.609 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 2.610 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 2.610 * [taylor]: Taking taylor expansion of 0 in K 2.610 * [backup-simplify]: Simplify 0 into 0 2.610 * [backup-simplify]: Simplify 0 into 0 2.610 * [backup-simplify]: Simplify (* (/ 1/4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)) (pow (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U))))) 2)) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 2.610 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 2 2) 2.610 * [backup-simplify]: Simplify (* (* J 2) (cos (/ K 2))) into (* 2 (* (cos (* 1/2 K)) J)) 2.610 * [approximate]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in (J K) around 0 2.610 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in K 2.610 * [taylor]: Taking taylor expansion of 2 in K 2.610 * [backup-simplify]: Simplify 2 into 2 2.610 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 2.610 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 2.610 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 2.611 * [taylor]: Taking taylor expansion of 1/2 in K 2.611 * [backup-simplify]: Simplify 1/2 into 1/2 2.611 * [taylor]: Taking taylor expansion of K in K 2.611 * [backup-simplify]: Simplify 0 into 0 2.611 * [backup-simplify]: Simplify 1 into 1 2.611 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.612 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.612 * [taylor]: Taking taylor expansion of J in K 2.612 * [backup-simplify]: Simplify J into J 2.612 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in J 2.612 * [taylor]: Taking taylor expansion of 2 in J 2.612 * [backup-simplify]: Simplify 2 into 2 2.612 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 2.612 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 2.612 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 2.612 * [taylor]: Taking taylor expansion of 1/2 in J 2.612 * [backup-simplify]: Simplify 1/2 into 1/2 2.612 * [taylor]: Taking taylor expansion of K in J 2.612 * [backup-simplify]: Simplify K into K 2.612 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.612 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.612 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.612 * [taylor]: Taking taylor expansion of J in J 2.612 * [backup-simplify]: Simplify 0 into 0 2.612 * [backup-simplify]: Simplify 1 into 1 2.612 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in J 2.612 * [taylor]: Taking taylor expansion of 2 in J 2.612 * [backup-simplify]: Simplify 2 into 2 2.612 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 2.612 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 2.612 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 2.612 * [taylor]: Taking taylor expansion of 1/2 in J 2.613 * [backup-simplify]: Simplify 1/2 into 1/2 2.613 * [taylor]: Taking taylor expansion of K in J 2.613 * [backup-simplify]: Simplify K into K 2.613 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.613 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.613 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.613 * [taylor]: Taking taylor expansion of J in J 2.613 * [backup-simplify]: Simplify 0 into 0 2.613 * [backup-simplify]: Simplify 1 into 1 2.613 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 2.613 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 2.613 * [backup-simplify]: Simplify (- 0) into 0 2.614 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 2.614 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 2.614 * [backup-simplify]: Simplify (* 2 0) into 0 2.614 * [taylor]: Taking taylor expansion of 0 in K 2.614 * [backup-simplify]: Simplify 0 into 0 2.614 * [backup-simplify]: Simplify 0 into 0 2.615 * [backup-simplify]: Simplify (+ 0) into 0 2.615 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 2.616 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 2.616 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.617 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 2.617 * [backup-simplify]: Simplify (- 0) into 0 2.617 * [backup-simplify]: Simplify (+ 0 0) into 0 2.618 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 2.618 * [backup-simplify]: Simplify (+ (* 2 (cos (* 1/2 K))) (* 0 0)) into (* 2 (cos (* 1/2 K))) 2.618 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K 2.618 * [taylor]: Taking taylor expansion of 2 in K 2.618 * [backup-simplify]: Simplify 2 into 2 2.618 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 2.618 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 2.618 * [taylor]: Taking taylor expansion of 1/2 in K 2.619 * [backup-simplify]: Simplify 1/2 into 1/2 2.619 * [taylor]: Taking taylor expansion of K in K 2.619 * [backup-simplify]: Simplify 0 into 0 2.619 * [backup-simplify]: Simplify 1 into 1 2.619 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.620 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.620 * [backup-simplify]: Simplify (* 2 1) into 2 2.620 * [backup-simplify]: Simplify 2 into 2 2.620 * [backup-simplify]: Simplify 0 into 0 2.621 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.622 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.623 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 2.624 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.625 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.625 * [backup-simplify]: Simplify (- 0) into 0 2.626 * [backup-simplify]: Simplify (+ 0 0) into 0 2.626 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 2.627 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0 2.627 * [taylor]: Taking taylor expansion of 0 in K 2.627 * [backup-simplify]: Simplify 0 into 0 2.627 * [backup-simplify]: Simplify 0 into 0 2.628 * [backup-simplify]: Simplify (+ 0) into 0 2.628 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.628 * [backup-simplify]: Simplify 0 into 0 2.628 * [backup-simplify]: Simplify 0 into 0 2.629 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.630 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.631 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 2.633 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.633 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.634 * [backup-simplify]: Simplify (- 0) into 0 2.634 * [backup-simplify]: Simplify (+ 0 0) into 0 2.635 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.636 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0)))) into 0 2.636 * [taylor]: Taking taylor expansion of 0 in K 2.636 * [backup-simplify]: Simplify 0 into 0 2.636 * [backup-simplify]: Simplify 0 into 0 2.636 * [backup-simplify]: Simplify 0 into 0 2.636 * [backup-simplify]: Simplify (* 2 (* 1 J)) into (* 2 J) 2.637 * [backup-simplify]: Simplify (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))) into (* 2 (/ (cos (/ 1/2 K)) J)) 2.637 * [approximate]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in (J K) around 0 2.637 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in K 2.637 * [taylor]: Taking taylor expansion of 2 in K 2.637 * [backup-simplify]: Simplify 2 into 2 2.637 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 2.637 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 2.637 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 2.637 * [taylor]: Taking taylor expansion of 1/2 in K 2.637 * [backup-simplify]: Simplify 1/2 into 1/2 2.637 * [taylor]: Taking taylor expansion of K in K 2.637 * [backup-simplify]: Simplify 0 into 0 2.637 * [backup-simplify]: Simplify 1 into 1 2.637 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.637 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.637 * [taylor]: Taking taylor expansion of J in K 2.637 * [backup-simplify]: Simplify J into J 2.638 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 2.638 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in J 2.638 * [taylor]: Taking taylor expansion of 2 in J 2.638 * [backup-simplify]: Simplify 2 into 2 2.638 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 2.638 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 2.638 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 2.638 * [taylor]: Taking taylor expansion of 1/2 in J 2.638 * [backup-simplify]: Simplify 1/2 into 1/2 2.638 * [taylor]: Taking taylor expansion of K in J 2.638 * [backup-simplify]: Simplify K into K 2.638 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.638 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.638 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.638 * [taylor]: Taking taylor expansion of J in J 2.638 * [backup-simplify]: Simplify 0 into 0 2.638 * [backup-simplify]: Simplify 1 into 1 2.638 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.638 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.639 * [backup-simplify]: Simplify (- 0) into 0 2.639 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.639 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.639 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in J 2.639 * [taylor]: Taking taylor expansion of 2 in J 2.639 * [backup-simplify]: Simplify 2 into 2 2.639 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 2.639 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 2.639 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 2.639 * [taylor]: Taking taylor expansion of 1/2 in J 2.639 * [backup-simplify]: Simplify 1/2 into 1/2 2.639 * [taylor]: Taking taylor expansion of K in J 2.639 * [backup-simplify]: Simplify K into K 2.639 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.639 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.639 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.639 * [taylor]: Taking taylor expansion of J in J 2.639 * [backup-simplify]: Simplify 0 into 0 2.639 * [backup-simplify]: Simplify 1 into 1 2.639 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.639 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.640 * [backup-simplify]: Simplify (- 0) into 0 2.640 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.640 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.640 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) 2.640 * [taylor]: Taking taylor expansion of (* 2 (cos (/ 1/2 K))) in K 2.640 * [taylor]: Taking taylor expansion of 2 in K 2.640 * [backup-simplify]: Simplify 2 into 2 2.640 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 2.640 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 2.640 * [taylor]: Taking taylor expansion of 1/2 in K 2.640 * [backup-simplify]: Simplify 1/2 into 1/2 2.640 * [taylor]: Taking taylor expansion of K in K 2.640 * [backup-simplify]: Simplify 0 into 0 2.640 * [backup-simplify]: Simplify 1 into 1 2.641 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.641 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.641 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) 2.641 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) 2.642 * [backup-simplify]: Simplify (+ 0) into 0 2.642 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 2.642 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 2.643 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.643 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 2.644 * [backup-simplify]: Simplify (- 0) into 0 2.644 * [backup-simplify]: Simplify (+ 0 0) into 0 2.645 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 2.645 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0 2.646 * [taylor]: Taking taylor expansion of 0 in K 2.646 * [backup-simplify]: Simplify 0 into 0 2.646 * [backup-simplify]: Simplify 0 into 0 2.646 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0 2.646 * [backup-simplify]: Simplify 0 into 0 2.647 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.648 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.648 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.649 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.649 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.650 * [backup-simplify]: Simplify (- 0) into 0 2.650 * [backup-simplify]: Simplify (+ 0 0) into 0 2.651 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.652 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 2.652 * [taylor]: Taking taylor expansion of 0 in K 2.652 * [backup-simplify]: Simplify 0 into 0 2.652 * [backup-simplify]: Simplify 0 into 0 2.652 * [backup-simplify]: Simplify 0 into 0 2.653 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 2.653 * [backup-simplify]: Simplify 0 into 0 2.654 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.655 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.655 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.657 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.658 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.658 * [backup-simplify]: Simplify (- 0) into 0 2.659 * [backup-simplify]: Simplify (+ 0 0) into 0 2.661 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.662 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 2.662 * [taylor]: Taking taylor expansion of 0 in K 2.662 * [backup-simplify]: Simplify 0 into 0 2.662 * [backup-simplify]: Simplify 0 into 0 2.662 * [backup-simplify]: Simplify (* (* 2 (cos (/ 1/2 (/ 1 K)))) (* 1 (/ 1 (/ 1 J)))) into (* 2 (* (cos (* 1/2 K)) J)) 2.662 * [backup-simplify]: Simplify (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))) into (* -2 (/ (cos (/ -1/2 K)) J)) 2.662 * [approximate]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in (J K) around 0 2.662 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in K 2.662 * [taylor]: Taking taylor expansion of -2 in K 2.662 * [backup-simplify]: Simplify -2 into -2 2.662 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 2.662 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 2.663 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 2.663 * [taylor]: Taking taylor expansion of -1/2 in K 2.663 * [backup-simplify]: Simplify -1/2 into -1/2 2.663 * [taylor]: Taking taylor expansion of K in K 2.663 * [backup-simplify]: Simplify 0 into 0 2.663 * [backup-simplify]: Simplify 1 into 1 2.663 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.663 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.663 * [taylor]: Taking taylor expansion of J in K 2.663 * [backup-simplify]: Simplify J into J 2.663 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 2.663 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in J 2.663 * [taylor]: Taking taylor expansion of -2 in J 2.663 * [backup-simplify]: Simplify -2 into -2 2.663 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 2.663 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 2.663 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 2.664 * [taylor]: Taking taylor expansion of -1/2 in J 2.664 * [backup-simplify]: Simplify -1/2 into -1/2 2.664 * [taylor]: Taking taylor expansion of K in J 2.664 * [backup-simplify]: Simplify K into K 2.664 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.664 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.664 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.664 * [taylor]: Taking taylor expansion of J in J 2.664 * [backup-simplify]: Simplify 0 into 0 2.664 * [backup-simplify]: Simplify 1 into 1 2.664 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.664 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.664 * [backup-simplify]: Simplify (- 0) into 0 2.664 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.665 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.665 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in J 2.665 * [taylor]: Taking taylor expansion of -2 in J 2.665 * [backup-simplify]: Simplify -2 into -2 2.665 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 2.665 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 2.665 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 2.665 * [taylor]: Taking taylor expansion of -1/2 in J 2.665 * [backup-simplify]: Simplify -1/2 into -1/2 2.665 * [taylor]: Taking taylor expansion of K in J 2.665 * [backup-simplify]: Simplify K into K 2.665 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.665 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.665 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.665 * [taylor]: Taking taylor expansion of J in J 2.665 * [backup-simplify]: Simplify 0 into 0 2.665 * [backup-simplify]: Simplify 1 into 1 2.665 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.665 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.666 * [backup-simplify]: Simplify (- 0) into 0 2.666 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.666 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.666 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) 2.666 * [taylor]: Taking taylor expansion of (* -2 (cos (/ -1/2 K))) in K 2.666 * [taylor]: Taking taylor expansion of -2 in K 2.666 * [backup-simplify]: Simplify -2 into -2 2.666 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 2.666 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 2.666 * [taylor]: Taking taylor expansion of -1/2 in K 2.666 * [backup-simplify]: Simplify -1/2 into -1/2 2.666 * [taylor]: Taking taylor expansion of K in K 2.666 * [backup-simplify]: Simplify 0 into 0 2.666 * [backup-simplify]: Simplify 1 into 1 2.667 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.667 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.667 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) 2.667 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) 2.667 * [backup-simplify]: Simplify (+ 0) into 0 2.668 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.668 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.669 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.669 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.670 * [backup-simplify]: Simplify (- 0) into 0 2.670 * [backup-simplify]: Simplify (+ 0 0) into 0 2.671 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 2.671 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0 2.671 * [taylor]: Taking taylor expansion of 0 in K 2.671 * [backup-simplify]: Simplify 0 into 0 2.671 * [backup-simplify]: Simplify 0 into 0 2.672 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0 2.672 * [backup-simplify]: Simplify 0 into 0 2.673 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.674 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.674 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.675 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.675 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.676 * [backup-simplify]: Simplify (- 0) into 0 2.676 * [backup-simplify]: Simplify (+ 0 0) into 0 2.678 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.678 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 2.678 * [taylor]: Taking taylor expansion of 0 in K 2.679 * [backup-simplify]: Simplify 0 into 0 2.679 * [backup-simplify]: Simplify 0 into 0 2.679 * [backup-simplify]: Simplify 0 into 0 2.679 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 2.679 * [backup-simplify]: Simplify 0 into 0 2.680 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.681 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.681 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.683 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.684 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.684 * [backup-simplify]: Simplify (- 0) into 0 2.684 * [backup-simplify]: Simplify (+ 0 0) into 0 2.686 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.688 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 2.688 * [taylor]: Taking taylor expansion of 0 in K 2.688 * [backup-simplify]: Simplify 0 into 0 2.688 * [backup-simplify]: Simplify 0 into 0 2.688 * [backup-simplify]: Simplify (* (* -2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (/ 1 (/ 1 (- J))))) into (* 2 (* (cos (* 1/2 K)) J)) 2.688 * * * [progress]: simplifying candidates 2.688 * * * * [progress]: [ 1 / 145 ] simplifiying candidate # 2.688 * * * * [progress]: [ 2 / 145 ] simplifiying candidate # 2.688 * * * * [progress]: [ 3 / 145 ] simplifiying candidate # 2.688 * * * * [progress]: [ 4 / 145 ] simplifiying candidate # 2.688 * * * * [progress]: [ 5 / 145 ] simplifiying candidate # 2.688 * * * * [progress]: [ 6 / 145 ] simplifiying candidate # 2.688 * * * * [progress]: [ 7 / 145 ] simplifiying candidate # 2.689 * * * * [progress]: [ 8 / 145 ] simplifiying candidate # 2.689 * * * * [progress]: [ 9 / 145 ] simplifiying candidate # 2.689 * * * * [progress]: [ 10 / 145 ] simplifiying candidate # 2.689 * * * * [progress]: [ 11 / 145 ] simplifiying candidate # 2.689 * * * * [progress]: [ 12 / 145 ] simplifiying candidate # 2.689 * * * * [progress]: [ 13 / 145 ] simplifiying candidate # 2.689 * * * * [progress]: [ 14 / 145 ] simplifiying candidate # 2.689 * * * * [progress]: [ 15 / 145 ] simplifiying candidate # 2.689 * * * * [progress]: [ 16 / 145 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J))))> 2.689 * * * * [progress]: [ 17 / 145 ] simplifiying candidate # 2.689 * * * * [progress]: [ 18 / 145 ] simplifiying candidate # 2.689 * * * * [progress]: [ 19 / 145 ] simplifiying candidate # 2.689 * * * * [progress]: [ 20 / 145 ] simplifiying candidate # 2.689 * * * * [progress]: [ 21 / 145 ] simplifiying candidate # 2.690 * * * * [progress]: [ 22 / 145 ] simplifiying candidate # 2.690 * * * * [progress]: [ 23 / 145 ] simplifiying candidate # 2.690 * * * * [progress]: [ 24 / 145 ] simplifiying candidate # 2.690 * * * * [progress]: [ 25 / 145 ] simplifiying candidate # 2.690 * * * * [progress]: [ 26 / 145 ] simplifiying candidate # 2.690 * * * * [progress]: [ 27 / 145 ] simplifiying candidate # 2.690 * * * * [progress]: [ 28 / 145 ] simplifiying candidate # 2.690 * * * * [progress]: [ 29 / 145 ] simplifiying candidate # 2.690 * * * * [progress]: [ 30 / 145 ] simplifiying candidate # 2.690 * * * * [progress]: [ 31 / 145 ] simplifiying candidate # 2.690 * * * * [progress]: [ 32 / 145 ] simplifiying candidate # 2.690 * * * * [progress]: [ 33 / 145 ] simplifiying candidate # 2.690 * * * * [progress]: [ 34 / 145 ] simplifiying candidate # 2.690 * * * * [progress]: [ 35 / 145 ] simplifiying candidate # 2.691 * * * * [progress]: [ 36 / 145 ] simplifiying candidate # 2.691 * * * * [progress]: [ 37 / 145 ] simplifiying candidate # 2.691 * * * * [progress]: [ 38 / 145 ] simplifiying candidate # 2.691 * * * * [progress]: [ 39 / 145 ] simplifiying candidate # 2.691 * * * * [progress]: [ 40 / 145 ] simplifiying candidate # 2.691 * * * * [progress]: [ 41 / 145 ] simplifiying candidate # 2.691 * * * * [progress]: [ 42 / 145 ] simplifiying candidate #real (real->posit16 (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))> 2.691 * * * * [progress]: [ 43 / 145 ] simplifiying candidate # 2.691 * * * * [progress]: [ 44 / 145 ] simplifiying candidate # 2.691 * * * * [progress]: [ 45 / 145 ] simplifiying candidate # 2.691 * * * * [progress]: [ 46 / 145 ] simplifiying candidate # 2.691 * * * * [progress]: [ 47 / 145 ] simplifiying candidate # 2.691 * * * * [progress]: [ 48 / 145 ] simplifiying candidate # 2.691 * * * * [progress]: [ 49 / 145 ] simplifiying candidate # 2.691 * * * * [progress]: [ 50 / 145 ] simplifiying candidate # 2.692 * * * * [progress]: [ 51 / 145 ] simplifiying candidate # 2.692 * * * * [progress]: [ 52 / 145 ] simplifiying candidate # 2.692 * * * * [progress]: [ 53 / 145 ] simplifiying candidate # 2.692 * * * * [progress]: [ 54 / 145 ] simplifiying candidate # 2.692 * * * * [progress]: [ 55 / 145 ] simplifiying candidate # 2.692 * * * * [progress]: [ 56 / 145 ] simplifiying candidate # 2.692 * * * * [progress]: [ 57 / 145 ] simplifiying candidate # 2.692 * * * * [progress]: [ 58 / 145 ] simplifiying candidate # 2.692 * * * * [progress]: [ 59 / 145 ] simplifiying candidate # 2.692 * * * * [progress]: [ 60 / 145 ] simplifiying candidate # 2.692 * * * * [progress]: [ 61 / 145 ] simplifiying candidate # 2.692 * * * * [progress]: [ 62 / 145 ] simplifiying candidate # 2.692 * * * * [progress]: [ 63 / 145 ] simplifiying candidate # 2.693 * * * * [progress]: [ 64 / 145 ] simplifiying candidate # 2.693 * * * * [progress]: [ 65 / 145 ] simplifiying candidate # 2.693 * * * * [progress]: [ 66 / 145 ] simplifiying candidate # 2.693 * * * * [progress]: [ 67 / 145 ] simplifiying candidate # 2.693 * * * * [progress]: [ 68 / 145 ] simplifiying candidate # 2.693 * * * * [progress]: [ 69 / 145 ] simplifiying candidate # 2.693 * * * * [progress]: [ 70 / 145 ] simplifiying candidate # 2.693 * * * * [progress]: [ 71 / 145 ] simplifiying candidate # 2.693 * * * * [progress]: [ 72 / 145 ] simplifiying candidate # 2.693 * * * * [progress]: [ 73 / 145 ] simplifiying candidate # 2.693 * * * * [progress]: [ 74 / 145 ] simplifiying candidate # 2.693 * * * * [progress]: [ 75 / 145 ] simplifiying candidate # 2.693 * * * * [progress]: [ 76 / 145 ] simplifiying candidate # 2.694 * * * * [progress]: [ 77 / 145 ] simplifiying candidate # 2.694 * * * * [progress]: [ 78 / 145 ] simplifiying candidate # 2.694 * * * * [progress]: [ 79 / 145 ] simplifiying candidate # 2.694 * * * * [progress]: [ 80 / 145 ] simplifiying candidate # 2.694 * * * * [progress]: [ 81 / 145 ] simplifiying candidate # 2.694 * * * * [progress]: [ 82 / 145 ] simplifiying candidate # 2.694 * * * * [progress]: [ 83 / 145 ] simplifiying candidate # 2.694 * * * * [progress]: [ 84 / 145 ] simplifiying candidate # 2.694 * * * * [progress]: [ 85 / 145 ] simplifiying candidate # 2.694 * * * * [progress]: [ 86 / 145 ] simplifiying candidate # 2.694 * * * * [progress]: [ 87 / 145 ] simplifiying candidate # 2.694 * * * * [progress]: [ 88 / 145 ] simplifiying candidate # 2.694 * * * * [progress]: [ 89 / 145 ] simplifiying candidate # 2.695 * * * * [progress]: [ 90 / 145 ] simplifiying candidate # 2.695 * * * * [progress]: [ 91 / 145 ] simplifiying candidate # 2.695 * * * * [progress]: [ 92 / 145 ] simplifiying candidate # 2.695 * * * * [progress]: [ 93 / 145 ] simplifiying candidate # 2.695 * * * * [progress]: [ 94 / 145 ] simplifiying candidate # 2.695 * * * * [progress]: [ 95 / 145 ] simplifiying candidate # 2.695 * * * * [progress]: [ 96 / 145 ] simplifiying candidate # 2.695 * * * * [progress]: [ 97 / 145 ] simplifiying candidate # 2.695 * * * * [progress]: [ 98 / 145 ] simplifiying candidate # 2.695 * * * * [progress]: [ 99 / 145 ] simplifiying candidate # 2.695 * * * * [progress]: [ 100 / 145 ] simplifiying candidate # 2.695 * * * * [progress]: [ 101 / 145 ] simplifiying candidate # 2.695 * * * * [progress]: [ 102 / 145 ] simplifiying candidate # 2.695 * * * * [progress]: [ 103 / 145 ] simplifiying candidate # 2.696 * * * * [progress]: [ 104 / 145 ] simplifiying candidate # 2.696 * * * * [progress]: [ 105 / 145 ] simplifiying candidate # 2.696 * * * * [progress]: [ 106 / 145 ] simplifiying candidate # 2.696 * * * * [progress]: [ 107 / 145 ] simplifiying candidate # 2.696 * * * * [progress]: [ 108 / 145 ] simplifiying candidate # 2.696 * * * * [progress]: [ 109 / 145 ] simplifiying candidate # 2.696 * * * * [progress]: [ 110 / 145 ] simplifiying candidate # 2.696 * * * * [progress]: [ 111 / 145 ] simplifiying candidate # 2.696 * * * * [progress]: [ 112 / 145 ] simplifiying candidate # 2.696 * * * * [progress]: [ 113 / 145 ] simplifiying candidate #real (real->posit16 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))> 2.696 * * * * [progress]: [ 114 / 145 ] simplifiying candidate # 2.696 * * * * [progress]: [ 115 / 145 ] simplifiying candidate # 2.696 * * * * [progress]: [ 116 / 145 ] simplifiying candidate # 2.696 * * * * [progress]: [ 117 / 145 ] simplifiying candidate # 2.696 * * * * [progress]: [ 118 / 145 ] simplifiying candidate # 2.697 * * * * [progress]: [ 119 / 145 ] simplifiying candidate # 2.697 * * * * [progress]: [ 120 / 145 ] simplifiying candidate # 2.697 * * * * [progress]: [ 121 / 145 ] simplifiying candidate # 2.697 * * * * [progress]: [ 122 / 145 ] simplifiying candidate # 2.697 * * * * [progress]: [ 123 / 145 ] simplifiying candidate # 2.697 * * * * [progress]: [ 124 / 145 ] simplifiying candidate # 2.697 * * * * [progress]: [ 125 / 145 ] simplifiying candidate # 2.697 * * * * [progress]: [ 126 / 145 ] simplifiying candidate # 2.697 * * * * [progress]: [ 127 / 145 ] simplifiying candidate # 2.697 * * * * [progress]: [ 128 / 145 ] simplifiying candidate # 2.697 * * * * [progress]: [ 129 / 145 ] simplifiying candidate # 2.697 * * * * [progress]: [ 130 / 145 ] simplifiying candidate # 2.697 * * * * [progress]: [ 131 / 145 ] simplifiying candidate # 2.697 * * * * [progress]: [ 132 / 145 ] simplifiying candidate #real (real->posit16 (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))> 2.697 * * * * [progress]: [ 133 / 145 ] simplifiying candidate # 2.697 * * * * [progress]: [ 134 / 145 ] simplifiying candidate # 2.698 * * * * [progress]: [ 135 / 145 ] simplifiying candidate # 2.698 * * * * [progress]: [ 136 / 145 ] simplifiying candidate # 2.698 * * * * [progress]: [ 137 / 145 ] simplifiying candidate # 2.698 * * * * [progress]: [ 138 / 145 ] simplifiying candidate # 2.698 * * * * [progress]: [ 139 / 145 ] simplifiying candidate # 2.698 * * * * [progress]: [ 140 / 145 ] simplifiying candidate # 2.698 * * * * [progress]: [ 141 / 145 ] simplifiying candidate # 2.698 * * * * [progress]: [ 142 / 145 ] simplifiying candidate # 2.698 * * * * [progress]: [ 143 / 145 ] simplifiying candidate # 2.698 * * * * [progress]: [ 144 / 145 ] simplifiying candidate # 2.698 * * * * [progress]: [ 145 / 145 ] simplifiying candidate # 2.701 * [simplify]: Simplifying: (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (exp (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (* (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (sqrt (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt 1) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 3) (pow 1 3))) (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 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (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 1))) (sqrt (- (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (/ 1 2) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (real->posit16 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))) (+ (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (+ (log (cos (/ K 2))) (+ (log -2) (log J)))) (+ (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (+ (log (cos (/ K 2))) (log (* -2 J)))) (+ (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (log (* (cos (/ K 2)) (* -2 J)))) (log (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 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(cos (/ K 2)) (* J -2)))) (cbrt (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (* (cos (/ K 2)) (* J -2))))) (cbrt (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (* (cos (/ K 2)) (* J -2)))) (* (* (* (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1) (* (* J (* (cos (/ K 2)) 2)) (* J (* (cos (/ K 2)) 2)))) (* (cos (/ K 2)) (* J -2))) (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) (sqrt (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (* (cos (/ K 2)) (* J -2)))) (sqrt (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (* (cos (/ K 2)) (* J -2)))) (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (cos (/ K 2))) (* (* (cbrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) (* -2 (cos (/ K 2)))) J) (* (* -2 (cos (/ K 2))) (* J (sqrt (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))))) (* (* (sqrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) (* J -2)) (cos (/ K 2))) (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (* (cos (/ K 2)) (* J -2))) (* (* (sqrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) (* J -2)) (cos (/ K 2))) (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (* (cos (/ K 2)) (* J -2))) (* (cos (/ K 2)) (* (* J -2) (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 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* J -2))) (real->posit16 (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (* (cos (/ K 2)) (* J -2)))) 2 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 2 (* 2 (log (/ (/ U (* 2 J)) (cos (/ K 2))))) (* 2 (log (/ (/ U (* 2 J)) (cos (/ K 2))))) (* 2 (log (/ (/ U (* 2 J)) (cos (/ K 2))))) (* 2 (log (/ (/ U (* 2 J)) (cos (/ K 2))))) (* 2 (log (/ (/ U (* 2 J)) (cos (/ K 2))))) (* 2 (log (/ (/ U (* 2 J)) (cos (/ K 2))))) (* 2 (log (/ (/ U (* 2 J)) (cos (/ K 2))))) (* 2 (log (/ (/ U (* 2 J)) (cos (/ K 2))))) (* 2 (log (/ (/ U (* 2 J)) (cos (/ K 2))))) (* 2 (log (/ (/ U (* 2 J)) (cos (/ K 2))))) (* 2 (log (/ (/ U (* 2 J)) (cos (/ K 2))))) (* 2 (log (/ (/ U (* 2 J)) (cos (/ K 2))))) (* 2 (log (/ (/ U (* 2 J)) (cos (/ K 2))))) (* 2 (log (/ (/ U (* 2 J)) (cos (/ K 2))))) (* 2 (log (/ (/ U (* 2 J)) (cos (/ K 2))))) (* 2 (log (/ (/ U (* 2 J)) (cos (/ K 2))))) (* 2 (log (/ (/ U (* 2 J)) (cos (/ K 2))))) (exp (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (* (/ (* U U) (* (* (* (* 8 J) (* J J)) (cos (/ K 2))) (cos (/ K 2)))) (/ U (cos (/ K 2)))) (* (/ (* U U) (* (* (* (* 8 J) (* J J)) (cos (/ K 2))) (cos (/ K 2)))) (/ U (cos (/ K 2))))) (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (/ (* U U) (* (* (* (* 8 J) (* J J)) (cos (/ K 2))) (cos (/ K 2)))) (/ U (cos (/ K 2))))) (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (/ (* U U) (* (* (* (* 8 J) (* J J)) (cos (/ K 2))) (cos (/ K 2)))) (/ U (cos (/ K 2))))) (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (/ (* U U) (* (* (* (* 8 J) (* J J)) (cos (/ K 2))) (cos (/ K 2)))) (/ U (cos (/ K 2))))) (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (/ (* U U) (* (* (* (* 8 J) (* J J)) (cos (/ K 2))) (cos (/ K 2)))) (/ U (cos (/ K 2))))) (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (* (* (/ (/ 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))))) (* (* (* (/ (/ 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))))) (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (/ (* U U) (* (* (* (* 8 J) (* J J)) (cos (/ K 2))) (cos (/ K 2)))) (/ U (cos (/ K 2))))) (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (* (* (/ (/ 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))))) (* (* (* (/ (/ 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))))) (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (/ (* U U) (* (* (* (* 8 J) (* J J)) (cos (/ K 2))) (cos (/ K 2)))) (/ U (cos (/ K 2))))) (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (* (* (/ (/ 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))))) (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (cbrt (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (cbrt (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))) (cbrt (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (fabs (/ (/ U (* 2 J)) (cos (/ K 2)))) (fabs (/ (/ U (* 2 J)) (cos (/ K 2)))) (* U U) (* (* J (* (cos (/ K 2)) 2)) (* J (* (cos (/ K 2)) 2))) (* (* (cbrt (/ (/ U (* 2 J)) (cos (/ K 2)))) (cbrt (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (cbrt (/ (/ U (* 2 J)) (cos (/ K 2)))) (cbrt (/ (/ U (* 2 J)) (cos (/ K 2)))))) (* (cbrt (/ (/ U (* 2 J)) (cos (/ K 2)))) (cbrt (/ (/ U (* 2 J)) (cos (/ K 2))))) (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))) (* (/ (* (cbrt U) (cbrt U)) (* 2 J)) (/ (* (cbrt U) (cbrt U)) (* 2 J))) (* (/ (cbrt U) (cos (/ K 2))) (/ (cbrt U) (cos (/ K 2)))) (* (/ (sqrt U) (* 2 J)) (/ (sqrt U) (* 2 J))) (* (/ (sqrt U) (cos (/ K 2))) (/ (sqrt U) (cos (/ K 2)))) (* (/ 1/2 J) (/ 1/2 J)) (* (/ U (cos (/ K 2))) (/ U (cos (/ K 2)))) 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* U U) (* (/ (/ 1/2 J) (cos (/ K 2))) (/ (/ 1/2 J) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))) 2 (* (* (cbrt (/ (/ U (* 2 J)) (cos (/ K 2)))) (cbrt (/ (/ U (* 2 J)) (cos (/ K 2))))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (sqrt (/ (/ U (* 2 J)) (cos (/ K 2))))) (/ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (cbrt U)) (/ (* 2 J) (cbrt U))) (/ (* (/ U (* 2 J)) (/ (sqrt U) (* 2 J))) (cos (/ K 2))) (/ (/ (/ U (* 2 J)) (cos (/ K 2))) (* 2 J)) (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (* U (/ U (* 2 J))) (cos (/ K 2))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (cbrt (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (sqrt (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (cbrt U) (cos (/ K 2)))) (* (/ (sqrt U) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ U (cos (/ K 2)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ (/ (/ U (* 2 J)) (cos (/ K 2))) (* 2 J)) (cos (/ K 2))) (/ (* U (/ U (* 2 J))) (cos (/ K 2))) (/ (* U (/ U (* 2 J))) (cos (/ K 2))) (real->posit16 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* J (* (cos (/ K 2)) 2)) (* J (* (cos (/ K 2)) 2)) (log (* J (* (cos (/ K 2)) 2))) (log (* J (* (cos (/ K 2)) 2))) (log (* J (* (cos (/ K 2)) 2))) (exp (* J (* (cos (/ K 2)) 2))) (* (* (* (* 8 J) (* J J)) (cos (/ K 2))) (* (cos (/ K 2)) (cos (/ K 2)))) (* (* (* J (* (cos (/ K 2)) 2)) (* J (* (cos (/ K 2)) 2))) (* J (* (cos (/ K 2)) 2))) (* (cbrt (* J (* (cos (/ K 2)) 2))) (cbrt (* J (* (cos (/ K 2)) 2)))) (cbrt (* J (* (cos (/ K 2)) 2))) (* (* (* J (* (cos (/ K 2)) 2)) (* J (* (cos (/ K 2)) 2))) (* J (* (cos (/ K 2)) 2))) (sqrt (* J (* (cos (/ K 2)) 2))) (sqrt (* J (* (cos (/ K 2)) 2))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* 2 J)) (* J (* 2 (sqrt (cos (/ K 2))))) (* 2 J) (* (cos (/ K 2)) 2) (real->posit16 (* J (* (cos (/ K 2)) 2))) 1 (/ (/ (* U 1/2) J) (cos (* K 1/2))) (/ (/ (* U 1/2) J) (cos (* K 1/2))) (- (* J -2) (* (/ (* U U) J) 1/4)) (- U) (- U) (+ (* (* (/ U J) (/ U J)) 1/4) (/ (* 1/16 (* K K)) (* (/ J U) (/ J U)))) (/ (* (* (/ U J) (/ U J)) 1/4) (* (cos (* K 1/2)) (cos (* K 1/2)))) (/ (* (* (/ U J) (/ U J)) 1/4) (* (cos (* K 1/2)) (cos (* K 1/2)))) (* 2 J) (* (cos (* K 1/2)) (* 2 J)) (* (cos (* K 1/2)) (* 2 J)) 4.182 * * * [progress]: adding candidates to table 6.289 * * [progress]: iteration 2 / 4 6.289 * * * [progress]: picking best candidate 6.328 * * * * [pick]: Picked # 6.328 * * * [progress]: localizing error 6.375 * * * [progress]: generating rewritten candidates 6.375 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 6.566 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 6.900 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 7.001 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 2 2) 7.027 * * * [progress]: generating series expansions 7.027 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 7.027 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) 7.027 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U J K) around 0 7.027 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 7.027 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 7.027 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 7.027 * [taylor]: Taking taylor expansion of 1/4 in K 7.027 * [backup-simplify]: Simplify 1/4 into 1/4 7.027 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 7.027 * [taylor]: Taking taylor expansion of (pow U 2) in K 7.027 * [taylor]: Taking taylor expansion of U in K 7.027 * [backup-simplify]: Simplify U into U 7.028 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 7.028 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 7.028 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 7.028 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 7.028 * [taylor]: Taking taylor expansion of 1/2 in K 7.028 * [backup-simplify]: Simplify 1/2 into 1/2 7.028 * [taylor]: Taking taylor expansion of K in K 7.028 * [backup-simplify]: Simplify 0 into 0 7.028 * [backup-simplify]: Simplify 1 into 1 7.028 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.029 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.029 * [taylor]: Taking taylor expansion of (pow J 2) in K 7.029 * [taylor]: Taking taylor expansion of J in K 7.029 * [backup-simplify]: Simplify J into J 7.029 * [backup-simplify]: Simplify (* U U) into (pow U 2) 7.029 * [backup-simplify]: Simplify (* 1 1) into 1 7.029 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.029 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 7.029 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 7.029 * [taylor]: Taking taylor expansion of 1 in K 7.029 * [backup-simplify]: Simplify 1 into 1 7.029 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 7.029 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 7.030 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 7.030 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 7.030 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 7.030 * [backup-simplify]: Simplify (+ 0) into 0 7.030 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.031 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 7.031 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 7.031 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 7.031 * [backup-simplify]: Simplify (+ 0 0) into 0 7.032 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 7.032 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 7.032 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 7.032 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 7.032 * [taylor]: Taking taylor expansion of 1/4 in J 7.032 * [backup-simplify]: Simplify 1/4 into 1/4 7.032 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 7.032 * [taylor]: Taking taylor expansion of (pow U 2) in J 7.032 * [taylor]: Taking taylor expansion of U in J 7.032 * [backup-simplify]: Simplify U into U 7.032 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 7.032 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 7.032 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 7.032 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 7.032 * [taylor]: Taking taylor expansion of 1/2 in J 7.032 * [backup-simplify]: Simplify 1/2 into 1/2 7.032 * [taylor]: Taking taylor expansion of K in J 7.032 * [backup-simplify]: Simplify K into K 7.032 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 7.032 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 7.032 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 7.032 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 7.032 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 7.032 * [backup-simplify]: Simplify (- 0) into 0 7.032 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 7.033 * [taylor]: Taking taylor expansion of (pow J 2) in J 7.033 * [taylor]: Taking taylor expansion of J in J 7.033 * [backup-simplify]: Simplify 0 into 0 7.033 * [backup-simplify]: Simplify 1 into 1 7.033 * [backup-simplify]: Simplify (* U U) into (pow U 2) 7.033 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 7.033 * [backup-simplify]: Simplify (* 1 1) into 1 7.033 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 7.033 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 7.033 * [taylor]: Taking taylor expansion of 1 in J 7.033 * [backup-simplify]: Simplify 1 into 1 7.033 * [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))) 7.033 * [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))) 7.034 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 7.034 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 7.034 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.034 * [backup-simplify]: Simplify (+ 0) into 0 7.035 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 7.035 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 7.035 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.036 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 7.036 * [backup-simplify]: Simplify (- 0) into 0 7.036 * [backup-simplify]: Simplify (+ 0 0) into 0 7.036 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 7.037 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 7.037 * [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 7.037 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 7.037 * [backup-simplify]: Simplify (+ 0 0) into 0 7.038 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 7.038 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 7.038 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 7.038 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 7.038 * [taylor]: Taking taylor expansion of 1/4 in U 7.038 * [backup-simplify]: Simplify 1/4 into 1/4 7.038 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 7.038 * [taylor]: Taking taylor expansion of (pow U 2) in U 7.038 * [taylor]: Taking taylor expansion of U in U 7.038 * [backup-simplify]: Simplify 0 into 0 7.038 * [backup-simplify]: Simplify 1 into 1 7.038 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 7.038 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 7.038 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 7.038 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 7.038 * [taylor]: Taking taylor expansion of 1/2 in U 7.038 * [backup-simplify]: Simplify 1/2 into 1/2 7.038 * [taylor]: Taking taylor expansion of K in U 7.038 * [backup-simplify]: Simplify K into K 7.038 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 7.038 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 7.038 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 7.038 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 7.038 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 7.038 * [backup-simplify]: Simplify (- 0) into 0 7.038 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 7.038 * [taylor]: Taking taylor expansion of (pow J 2) in U 7.038 * [taylor]: Taking taylor expansion of J in U 7.039 * [backup-simplify]: Simplify J into J 7.039 * [backup-simplify]: Simplify (* 1 1) into 1 7.039 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 7.039 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.039 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 7.039 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 7.039 * [taylor]: Taking taylor expansion of 1 in U 7.039 * [backup-simplify]: Simplify 1 into 1 7.039 * [backup-simplify]: Simplify (+ 0 1) into 1 7.040 * [backup-simplify]: Simplify (sqrt 1) into 1 7.040 * [backup-simplify]: Simplify (+ 0 0) into 0 7.041 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.041 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 7.041 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 7.041 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 7.041 * [taylor]: Taking taylor expansion of 1/4 in U 7.041 * [backup-simplify]: Simplify 1/4 into 1/4 7.041 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 7.041 * [taylor]: Taking taylor expansion of (pow U 2) in U 7.041 * [taylor]: Taking taylor expansion of U in U 7.041 * [backup-simplify]: Simplify 0 into 0 7.041 * [backup-simplify]: Simplify 1 into 1 7.041 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 7.041 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 7.041 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 7.041 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 7.041 * [taylor]: Taking taylor expansion of 1/2 in U 7.041 * [backup-simplify]: Simplify 1/2 into 1/2 7.041 * [taylor]: Taking taylor expansion of K in U 7.041 * [backup-simplify]: Simplify K into K 7.041 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 7.041 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 7.041 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 7.041 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 7.041 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 7.041 * [backup-simplify]: Simplify (- 0) into 0 7.041 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 7.041 * [taylor]: Taking taylor expansion of (pow J 2) in U 7.041 * [taylor]: Taking taylor expansion of J in U 7.041 * [backup-simplify]: Simplify J into J 7.042 * [backup-simplify]: Simplify (* 1 1) into 1 7.042 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 7.042 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.042 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 7.042 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 7.042 * [taylor]: Taking taylor expansion of 1 in U 7.042 * [backup-simplify]: Simplify 1 into 1 7.042 * [backup-simplify]: Simplify (+ 0 1) into 1 7.043 * [backup-simplify]: Simplify (sqrt 1) into 1 7.043 * [backup-simplify]: Simplify (+ 0 0) into 0 7.043 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.043 * [taylor]: Taking taylor expansion of 1 in J 7.043 * [backup-simplify]: Simplify 1 into 1 7.043 * [taylor]: Taking taylor expansion of 0 in J 7.043 * [backup-simplify]: Simplify 0 into 0 7.043 * [taylor]: Taking taylor expansion of 1 in K 7.043 * [backup-simplify]: Simplify 1 into 1 7.043 * [backup-simplify]: Simplify 1 into 1 7.044 * [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))) 7.044 * [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)))) 7.046 * [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))) 7.046 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 7.046 * [taylor]: Taking taylor expansion of 1/8 in J 7.046 * [backup-simplify]: Simplify 1/8 into 1/8 7.046 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 7.046 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 7.046 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 7.046 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 7.046 * [taylor]: Taking taylor expansion of 1/2 in J 7.046 * [backup-simplify]: Simplify 1/2 into 1/2 7.046 * [taylor]: Taking taylor expansion of K in J 7.046 * [backup-simplify]: Simplify K into K 7.046 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 7.046 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 7.046 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 7.046 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 7.046 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 7.047 * [backup-simplify]: Simplify (- 0) into 0 7.047 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 7.047 * [taylor]: Taking taylor expansion of (pow J 2) in J 7.047 * [taylor]: Taking taylor expansion of J in J 7.047 * [backup-simplify]: Simplify 0 into 0 7.047 * [backup-simplify]: Simplify 1 into 1 7.047 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 7.047 * [backup-simplify]: Simplify (* 1 1) into 1 7.047 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 7.048 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2)) 7.049 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.049 * [backup-simplify]: Simplify (+ 0) into 0 7.049 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 7.050 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 7.051 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.051 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 7.051 * [backup-simplify]: Simplify (- 0) into 0 7.052 * [backup-simplify]: Simplify (+ 0 0) into 0 7.052 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 7.052 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 7.053 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 7.053 * [taylor]: Taking taylor expansion of 0 in K 7.053 * [backup-simplify]: Simplify 0 into 0 7.053 * [backup-simplify]: Simplify 0 into 0 7.053 * [taylor]: Taking taylor expansion of 0 in K 7.053 * [backup-simplify]: Simplify 0 into 0 7.053 * [backup-simplify]: Simplify 0 into 0 7.053 * [taylor]: Taking taylor expansion of 0 in K 7.053 * [backup-simplify]: Simplify 0 into 0 7.053 * [backup-simplify]: Simplify 0 into 0 7.053 * [backup-simplify]: Simplify 0 into 0 7.054 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.054 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 7.054 * [backup-simplify]: Simplify (+ 0) into 0 7.055 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 7.055 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 7.056 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.056 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 7.057 * [backup-simplify]: Simplify (- 0) into 0 7.057 * [backup-simplify]: Simplify (+ 0 0) into 0 7.057 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 7.057 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 7.058 * [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 7.058 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 7.059 * [backup-simplify]: Simplify (+ 0 0) into 0 7.059 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 7.060 * [taylor]: Taking taylor expansion of 0 in J 7.060 * [backup-simplify]: Simplify 0 into 0 7.060 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.061 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.062 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.063 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 7.064 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.064 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.065 * [backup-simplify]: Simplify (- 0) into 0 7.065 * [backup-simplify]: Simplify (+ 0 0) into 0 7.065 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 7.066 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 7.067 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 7.067 * [taylor]: Taking taylor expansion of 0 in K 7.067 * [backup-simplify]: Simplify 0 into 0 7.067 * [backup-simplify]: Simplify 0 into 0 7.067 * [taylor]: Taking taylor expansion of 0 in K 7.067 * [backup-simplify]: Simplify 0 into 0 7.067 * [backup-simplify]: Simplify 0 into 0 7.067 * [backup-simplify]: Simplify 1 into 1 7.067 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 7.067 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U J K) around 0 7.067 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 7.067 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 7.068 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 7.068 * [taylor]: Taking taylor expansion of 1/4 in K 7.068 * [backup-simplify]: Simplify 1/4 into 1/4 7.068 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 7.068 * [taylor]: Taking taylor expansion of (pow J 2) in K 7.068 * [taylor]: Taking taylor expansion of J in K 7.068 * [backup-simplify]: Simplify J into J 7.068 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 7.068 * [taylor]: Taking taylor expansion of (pow U 2) in K 7.068 * [taylor]: Taking taylor expansion of U in K 7.068 * [backup-simplify]: Simplify U into U 7.068 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 7.068 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 7.068 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 7.068 * [taylor]: Taking taylor expansion of 1/2 in K 7.068 * [backup-simplify]: Simplify 1/2 into 1/2 7.068 * [taylor]: Taking taylor expansion of K in K 7.068 * [backup-simplify]: Simplify 0 into 0 7.068 * [backup-simplify]: Simplify 1 into 1 7.068 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.069 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.069 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.069 * [backup-simplify]: Simplify (* U U) into (pow U 2) 7.069 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 7.069 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 7.069 * [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))) 7.069 * [taylor]: Taking taylor expansion of 1 in K 7.069 * [backup-simplify]: Simplify 1 into 1 7.069 * [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)))) 7.070 * [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) 7.070 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 7.070 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 7.070 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 7.070 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 7.071 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 7.071 * [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 7.072 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 7.072 * [backup-simplify]: Simplify (+ 0 0) into 0 7.073 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 7.073 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 7.073 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 7.073 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 7.073 * [taylor]: Taking taylor expansion of 1/4 in J 7.073 * [backup-simplify]: Simplify 1/4 into 1/4 7.073 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 7.073 * [taylor]: Taking taylor expansion of (pow J 2) in J 7.073 * [taylor]: Taking taylor expansion of J in J 7.073 * [backup-simplify]: Simplify 0 into 0 7.073 * [backup-simplify]: Simplify 1 into 1 7.073 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 7.073 * [taylor]: Taking taylor expansion of (pow U 2) in J 7.073 * [taylor]: Taking taylor expansion of U in J 7.073 * [backup-simplify]: Simplify U into U 7.073 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 7.073 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 7.073 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 7.073 * [taylor]: Taking taylor expansion of 1/2 in J 7.073 * [backup-simplify]: Simplify 1/2 into 1/2 7.073 * [taylor]: Taking taylor expansion of K in J 7.073 * [backup-simplify]: Simplify K into K 7.073 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.074 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.074 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.074 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.074 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.079 * [backup-simplify]: Simplify (- 0) into 0 7.079 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.080 * [backup-simplify]: Simplify (* 1 1) into 1 7.080 * [backup-simplify]: Simplify (* U U) into (pow U 2) 7.080 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 7.080 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 7.080 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 7.080 * [taylor]: Taking taylor expansion of 1 in J 7.080 * [backup-simplify]: Simplify 1 into 1 7.080 * [backup-simplify]: Simplify (+ 0 1) into 1 7.081 * [backup-simplify]: Simplify (sqrt 1) into 1 7.081 * [backup-simplify]: Simplify (+ 0 0) into 0 7.082 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.082 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 7.082 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 7.082 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 7.082 * [taylor]: Taking taylor expansion of 1/4 in U 7.082 * [backup-simplify]: Simplify 1/4 into 1/4 7.082 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 7.082 * [taylor]: Taking taylor expansion of (pow J 2) in U 7.082 * [taylor]: Taking taylor expansion of J in U 7.082 * [backup-simplify]: Simplify J into J 7.082 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 7.082 * [taylor]: Taking taylor expansion of (pow U 2) in U 7.082 * [taylor]: Taking taylor expansion of U in U 7.082 * [backup-simplify]: Simplify 0 into 0 7.082 * [backup-simplify]: Simplify 1 into 1 7.082 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 7.082 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 7.082 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 7.082 * [taylor]: Taking taylor expansion of 1/2 in U 7.082 * [backup-simplify]: Simplify 1/2 into 1/2 7.082 * [taylor]: Taking taylor expansion of K in U 7.082 * [backup-simplify]: Simplify K into K 7.082 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.082 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.082 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.082 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.082 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.083 * [backup-simplify]: Simplify (- 0) into 0 7.083 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.083 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.083 * [backup-simplify]: Simplify (* 1 1) into 1 7.083 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 7.083 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 7.083 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 7.083 * [taylor]: Taking taylor expansion of 1 in U 7.083 * [backup-simplify]: Simplify 1 into 1 7.083 * [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))) 7.083 * [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))) 7.084 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 7.084 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 7.084 * [backup-simplify]: Simplify (+ 0) into 0 7.084 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 7.084 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 7.085 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.085 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 7.085 * [backup-simplify]: Simplify (- 0) into 0 7.086 * [backup-simplify]: Simplify (+ 0 0) into 0 7.086 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 7.086 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 7.087 * [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 7.087 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 7.087 * [backup-simplify]: Simplify (+ 0 0) into 0 7.088 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 7.088 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 7.088 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 7.088 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 7.088 * [taylor]: Taking taylor expansion of 1/4 in U 7.088 * [backup-simplify]: Simplify 1/4 into 1/4 7.088 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 7.088 * [taylor]: Taking taylor expansion of (pow J 2) in U 7.088 * [taylor]: Taking taylor expansion of J in U 7.088 * [backup-simplify]: Simplify J into J 7.088 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 7.088 * [taylor]: Taking taylor expansion of (pow U 2) in U 7.088 * [taylor]: Taking taylor expansion of U in U 7.088 * [backup-simplify]: Simplify 0 into 0 7.088 * [backup-simplify]: Simplify 1 into 1 7.088 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 7.088 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 7.088 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 7.088 * [taylor]: Taking taylor expansion of 1/2 in U 7.088 * [backup-simplify]: Simplify 1/2 into 1/2 7.088 * [taylor]: Taking taylor expansion of K in U 7.088 * [backup-simplify]: Simplify K into K 7.088 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.088 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.088 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.088 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.088 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.088 * [backup-simplify]: Simplify (- 0) into 0 7.088 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.089 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.089 * [backup-simplify]: Simplify (* 1 1) into 1 7.089 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 7.089 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 7.089 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 7.089 * [taylor]: Taking taylor expansion of 1 in U 7.089 * [backup-simplify]: Simplify 1 into 1 7.089 * [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))) 7.089 * [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))) 7.089 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 7.090 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 7.090 * [backup-simplify]: Simplify (+ 0) into 0 7.090 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 7.090 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 7.091 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.091 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 7.092 * [backup-simplify]: Simplify (- 0) into 0 7.092 * [backup-simplify]: Simplify (+ 0 0) into 0 7.092 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 7.093 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.093 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 7.094 * [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 7.094 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 7.094 * [backup-simplify]: Simplify (+ 0 0) into 0 7.095 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 7.095 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 7.095 * [taylor]: Taking taylor expansion of 1/2 in J 7.095 * [backup-simplify]: Simplify 1/2 into 1/2 7.095 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 7.095 * [taylor]: Taking taylor expansion of J in J 7.095 * [backup-simplify]: Simplify 0 into 0 7.095 * [backup-simplify]: Simplify 1 into 1 7.095 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 7.095 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 7.095 * [taylor]: Taking taylor expansion of 1/2 in J 7.095 * [backup-simplify]: Simplify 1/2 into 1/2 7.095 * [taylor]: Taking taylor expansion of K in J 7.095 * [backup-simplify]: Simplify K into K 7.095 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.095 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.095 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.095 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.096 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.096 * [backup-simplify]: Simplify (- 0) into 0 7.096 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.096 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 7.096 * [taylor]: Taking taylor expansion of 0 in J 7.096 * [backup-simplify]: Simplify 0 into 0 7.096 * [taylor]: Taking taylor expansion of 0 in K 7.096 * [backup-simplify]: Simplify 0 into 0 7.096 * [backup-simplify]: Simplify 0 into 0 7.096 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 7.096 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K 7.096 * [taylor]: Taking taylor expansion of 1/2 in K 7.096 * [backup-simplify]: Simplify 1/2 into 1/2 7.096 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 7.096 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 7.097 * [taylor]: Taking taylor expansion of 1/2 in K 7.097 * [backup-simplify]: Simplify 1/2 into 1/2 7.097 * [taylor]: Taking taylor expansion of K in K 7.097 * [backup-simplify]: Simplify 0 into 0 7.097 * [backup-simplify]: Simplify 1 into 1 7.097 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.097 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.097 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 7.097 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 7.098 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 7.099 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.099 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.100 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.101 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.101 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.101 * [backup-simplify]: Simplify (- 0) into 0 7.102 * [backup-simplify]: Simplify (+ 0 0) into 0 7.102 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 7.103 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 7.104 * [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 7.105 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 7.106 * [backup-simplify]: Simplify (+ 0 1) into 1 7.107 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 7.107 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 7.107 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 7.107 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 7.107 * [taylor]: Taking taylor expansion of 1/2 in J 7.107 * [backup-simplify]: Simplify 1/2 into 1/2 7.107 * [taylor]: Taking taylor expansion of K in J 7.107 * [backup-simplify]: Simplify K into K 7.107 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.107 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.107 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.107 * [taylor]: Taking taylor expansion of J in J 7.107 * [backup-simplify]: Simplify 0 into 0 7.107 * [backup-simplify]: Simplify 1 into 1 7.107 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.107 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.107 * [backup-simplify]: Simplify (- 0) into 0 7.108 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.108 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.108 * [backup-simplify]: Simplify (+ 0) into 0 7.108 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 7.108 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 7.109 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.109 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 7.109 * [backup-simplify]: Simplify (- 0) into 0 7.110 * [backup-simplify]: Simplify (+ 0 0) into 0 7.110 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 7.110 * [taylor]: Taking taylor expansion of 0 in K 7.110 * [backup-simplify]: Simplify 0 into 0 7.110 * [backup-simplify]: Simplify 0 into 0 7.110 * [taylor]: Taking taylor expansion of 0 in K 7.110 * [backup-simplify]: Simplify 0 into 0 7.110 * [backup-simplify]: Simplify 0 into 0 7.111 * [backup-simplify]: Simplify (+ 0) into 0 7.111 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 7.111 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 7.111 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.112 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 7.112 * [backup-simplify]: Simplify (- 0) into 0 7.112 * [backup-simplify]: Simplify (+ 0 0) into 0 7.112 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 7.113 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 7.113 * [taylor]: Taking taylor expansion of 0 in K 7.113 * [backup-simplify]: Simplify 0 into 0 7.113 * [backup-simplify]: Simplify 0 into 0 7.113 * [backup-simplify]: Simplify 0 into 0 7.113 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 7.113 * [backup-simplify]: Simplify 0 into 0 7.114 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 7.114 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.115 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.115 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.116 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 7.116 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 7.117 * [backup-simplify]: Simplify (- 0) into 0 7.117 * [backup-simplify]: Simplify (+ 0 0) into 0 7.117 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 7.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 7.119 * [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 7.120 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 7.120 * [backup-simplify]: Simplify (+ 0 0) into 0 7.120 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 7.120 * [taylor]: Taking taylor expansion of 0 in J 7.120 * [backup-simplify]: Simplify 0 into 0 7.120 * [taylor]: Taking taylor expansion of 0 in K 7.120 * [backup-simplify]: Simplify 0 into 0 7.120 * [backup-simplify]: Simplify 0 into 0 7.121 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 7.121 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 7.121 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U J K) around 0 7.121 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 7.121 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 7.121 * [taylor]: Taking taylor expansion of 1 in K 7.121 * [backup-simplify]: Simplify 1 into 1 7.121 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 7.121 * [taylor]: Taking taylor expansion of 1/4 in K 7.121 * [backup-simplify]: Simplify 1/4 into 1/4 7.121 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 7.121 * [taylor]: Taking taylor expansion of (pow J 2) in K 7.121 * [taylor]: Taking taylor expansion of J in K 7.121 * [backup-simplify]: Simplify J into J 7.121 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 7.121 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 7.121 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 7.121 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 7.121 * [taylor]: Taking taylor expansion of -1/2 in K 7.121 * [backup-simplify]: Simplify -1/2 into -1/2 7.121 * [taylor]: Taking taylor expansion of K in K 7.121 * [backup-simplify]: Simplify 0 into 0 7.121 * [backup-simplify]: Simplify 1 into 1 7.122 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.122 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.122 * [taylor]: Taking taylor expansion of (pow U 2) in K 7.122 * [taylor]: Taking taylor expansion of U in K 7.122 * [backup-simplify]: Simplify U into U 7.122 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.122 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 7.122 * [backup-simplify]: Simplify (* U U) into (pow U 2) 7.122 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 7.122 * [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))) 7.122 * [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)))) 7.122 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 7.123 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 7.123 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 7.123 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 7.123 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 7.123 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 7.123 * [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 7.124 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 7.124 * [backup-simplify]: Simplify (+ 0 0) into 0 7.124 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 7.124 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 7.124 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 7.124 * [taylor]: Taking taylor expansion of 1 in J 7.124 * [backup-simplify]: Simplify 1 into 1 7.124 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 7.124 * [taylor]: Taking taylor expansion of 1/4 in J 7.124 * [backup-simplify]: Simplify 1/4 into 1/4 7.124 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 7.124 * [taylor]: Taking taylor expansion of (pow J 2) in J 7.124 * [taylor]: Taking taylor expansion of J in J 7.124 * [backup-simplify]: Simplify 0 into 0 7.124 * [backup-simplify]: Simplify 1 into 1 7.124 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 7.124 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 7.125 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 7.125 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 7.125 * [taylor]: Taking taylor expansion of -1/2 in J 7.125 * [backup-simplify]: Simplify -1/2 into -1/2 7.125 * [taylor]: Taking taylor expansion of K in J 7.125 * [backup-simplify]: Simplify K into K 7.125 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.125 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.125 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.125 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.125 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.125 * [backup-simplify]: Simplify (- 0) into 0 7.125 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.125 * [taylor]: Taking taylor expansion of (pow U 2) in J 7.125 * [taylor]: Taking taylor expansion of U in J 7.125 * [backup-simplify]: Simplify U into U 7.125 * [backup-simplify]: Simplify (* 1 1) into 1 7.126 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 7.126 * [backup-simplify]: Simplify (* U U) into (pow U 2) 7.126 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 7.126 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 7.126 * [backup-simplify]: Simplify (+ 1 0) into 1 7.126 * [backup-simplify]: Simplify (sqrt 1) into 1 7.127 * [backup-simplify]: Simplify (+ 0 0) into 0 7.127 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.127 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 7.127 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 7.127 * [taylor]: Taking taylor expansion of 1 in U 7.127 * [backup-simplify]: Simplify 1 into 1 7.127 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 7.127 * [taylor]: Taking taylor expansion of 1/4 in U 7.127 * [backup-simplify]: Simplify 1/4 into 1/4 7.127 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 7.127 * [taylor]: Taking taylor expansion of (pow J 2) in U 7.127 * [taylor]: Taking taylor expansion of J in U 7.127 * [backup-simplify]: Simplify J into J 7.127 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 7.127 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 7.127 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 7.127 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 7.127 * [taylor]: Taking taylor expansion of -1/2 in U 7.127 * [backup-simplify]: Simplify -1/2 into -1/2 7.127 * [taylor]: Taking taylor expansion of K in U 7.127 * [backup-simplify]: Simplify K into K 7.127 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.127 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.127 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.127 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.128 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.128 * [backup-simplify]: Simplify (- 0) into 0 7.128 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.128 * [taylor]: Taking taylor expansion of (pow U 2) in U 7.128 * [taylor]: Taking taylor expansion of U in U 7.128 * [backup-simplify]: Simplify 0 into 0 7.128 * [backup-simplify]: Simplify 1 into 1 7.128 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.128 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 7.128 * [backup-simplify]: Simplify (* 1 1) into 1 7.128 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 7.128 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 7.129 * [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))) 7.129 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 7.129 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 7.129 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 7.129 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.130 * [backup-simplify]: Simplify (+ 0) into 0 7.130 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 7.130 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 7.130 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.131 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 7.131 * [backup-simplify]: Simplify (- 0) into 0 7.131 * [backup-simplify]: Simplify (+ 0 0) into 0 7.131 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 7.132 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 7.132 * [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 7.132 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 7.133 * [backup-simplify]: Simplify (+ 0 0) into 0 7.133 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 7.133 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 7.133 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 7.133 * [taylor]: Taking taylor expansion of 1 in U 7.133 * [backup-simplify]: Simplify 1 into 1 7.133 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 7.133 * [taylor]: Taking taylor expansion of 1/4 in U 7.133 * [backup-simplify]: Simplify 1/4 into 1/4 7.133 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 7.133 * [taylor]: Taking taylor expansion of (pow J 2) in U 7.133 * [taylor]: Taking taylor expansion of J in U 7.133 * [backup-simplify]: Simplify J into J 7.133 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 7.133 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 7.133 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 7.133 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 7.133 * [taylor]: Taking taylor expansion of -1/2 in U 7.133 * [backup-simplify]: Simplify -1/2 into -1/2 7.133 * [taylor]: Taking taylor expansion of K in U 7.133 * [backup-simplify]: Simplify K into K 7.133 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.133 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.133 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.133 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.133 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.134 * [backup-simplify]: Simplify (- 0) into 0 7.134 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.134 * [taylor]: Taking taylor expansion of (pow U 2) in U 7.134 * [taylor]: Taking taylor expansion of U in U 7.134 * [backup-simplify]: Simplify 0 into 0 7.134 * [backup-simplify]: Simplify 1 into 1 7.134 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.134 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 7.134 * [backup-simplify]: Simplify (* 1 1) into 1 7.134 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 7.134 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 7.134 * [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))) 7.134 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 7.135 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 7.135 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 7.135 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.136 * [backup-simplify]: Simplify (+ 0) into 0 7.136 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 7.136 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 7.137 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.137 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 7.138 * [backup-simplify]: Simplify (- 0) into 0 7.138 * [backup-simplify]: Simplify (+ 0 0) into 0 7.138 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 7.139 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 7.139 * [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 7.140 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 7.140 * [backup-simplify]: Simplify (+ 0 0) into 0 7.140 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 7.141 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 7.141 * [taylor]: Taking taylor expansion of 1/2 in J 7.141 * [backup-simplify]: Simplify 1/2 into 1/2 7.141 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 7.141 * [taylor]: Taking taylor expansion of J in J 7.141 * [backup-simplify]: Simplify 0 into 0 7.141 * [backup-simplify]: Simplify 1 into 1 7.141 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 7.141 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 7.141 * [taylor]: Taking taylor expansion of -1/2 in J 7.141 * [backup-simplify]: Simplify -1/2 into -1/2 7.141 * [taylor]: Taking taylor expansion of K in J 7.141 * [backup-simplify]: Simplify K into K 7.141 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.141 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.141 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.141 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.141 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.142 * [backup-simplify]: Simplify (- 0) into 0 7.142 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.142 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 7.142 * [taylor]: Taking taylor expansion of 0 in J 7.142 * [backup-simplify]: Simplify 0 into 0 7.142 * [taylor]: Taking taylor expansion of 0 in K 7.142 * [backup-simplify]: Simplify 0 into 0 7.142 * [backup-simplify]: Simplify 0 into 0 7.142 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 7.142 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K 7.142 * [taylor]: Taking taylor expansion of 1/2 in K 7.142 * [backup-simplify]: Simplify 1/2 into 1/2 7.142 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 7.142 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 7.142 * [taylor]: Taking taylor expansion of -1/2 in K 7.142 * [backup-simplify]: Simplify -1/2 into -1/2 7.142 * [taylor]: Taking taylor expansion of K in K 7.143 * [backup-simplify]: Simplify 0 into 0 7.143 * [backup-simplify]: Simplify 1 into 1 7.143 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.143 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.143 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 7.143 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 7.144 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 7.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.145 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.146 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.146 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.147 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.148 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.148 * [backup-simplify]: Simplify (- 0) into 0 7.148 * [backup-simplify]: Simplify (+ 0 0) into 0 7.149 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 7.150 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 7.150 * [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 7.151 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 7.151 * [backup-simplify]: Simplify (+ 1 0) into 1 7.152 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 7.152 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 7.152 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 7.152 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 7.152 * [taylor]: Taking taylor expansion of -1/2 in J 7.152 * [backup-simplify]: Simplify -1/2 into -1/2 7.153 * [taylor]: Taking taylor expansion of K in J 7.153 * [backup-simplify]: Simplify K into K 7.153 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.153 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.153 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.153 * [taylor]: Taking taylor expansion of J in J 7.153 * [backup-simplify]: Simplify 0 into 0 7.153 * [backup-simplify]: Simplify 1 into 1 7.153 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.153 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.153 * [backup-simplify]: Simplify (- 0) into 0 7.154 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.154 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.154 * [backup-simplify]: Simplify (+ 0) into 0 7.155 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 7.155 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 7.156 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.156 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 7.156 * [backup-simplify]: Simplify (- 0) into 0 7.157 * [backup-simplify]: Simplify (+ 0 0) into 0 7.158 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 7.158 * [taylor]: Taking taylor expansion of 0 in K 7.158 * [backup-simplify]: Simplify 0 into 0 7.158 * [backup-simplify]: Simplify 0 into 0 7.158 * [taylor]: Taking taylor expansion of 0 in K 7.158 * [backup-simplify]: Simplify 0 into 0 7.158 * [backup-simplify]: Simplify 0 into 0 7.158 * [backup-simplify]: Simplify (+ 0) into 0 7.159 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 7.159 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 7.160 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.160 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 7.160 * [backup-simplify]: Simplify (- 0) into 0 7.161 * [backup-simplify]: Simplify (+ 0 0) into 0 7.161 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 7.161 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 7.161 * [taylor]: Taking taylor expansion of 0 in K 7.162 * [backup-simplify]: Simplify 0 into 0 7.162 * [backup-simplify]: Simplify 0 into 0 7.162 * [backup-simplify]: Simplify 0 into 0 7.162 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 7.162 * [backup-simplify]: Simplify 0 into 0 7.163 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 7.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.165 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.166 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.166 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.167 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 7.168 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 7.169 * [backup-simplify]: Simplify (- 0) into 0 7.169 * [backup-simplify]: Simplify (+ 0 0) into 0 7.170 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 7.171 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.171 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 7.173 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 7.173 * [backup-simplify]: Simplify (+ 0 0) into 0 7.174 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 7.174 * [taylor]: Taking taylor expansion of 0 in J 7.174 * [backup-simplify]: Simplify 0 into 0 7.174 * [taylor]: Taking taylor expansion of 0 in K 7.174 * [backup-simplify]: Simplify 0 into 0 7.174 * [backup-simplify]: Simplify 0 into 0 7.174 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 7.174 * * * * [progress]: [ 2 / 4 ] generating series at (2) 7.175 * [backup-simplify]: Simplify (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -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)))) 7.175 * [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 J K) around 0 7.175 * [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 7.175 * [taylor]: Taking taylor expansion of -2 in K 7.175 * [backup-simplify]: Simplify -2 into -2 7.175 * [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 7.175 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 7.175 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 7.175 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 7.175 * [taylor]: Taking taylor expansion of 1/2 in K 7.175 * [backup-simplify]: Simplify 1/2 into 1/2 7.175 * [taylor]: Taking taylor expansion of K in K 7.175 * [backup-simplify]: Simplify 0 into 0 7.175 * [backup-simplify]: Simplify 1 into 1 7.176 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.176 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.177 * [taylor]: Taking taylor expansion of J in K 7.177 * [backup-simplify]: Simplify J into J 7.177 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 7.177 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 7.177 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 7.177 * [taylor]: Taking taylor expansion of 1/4 in K 7.177 * [backup-simplify]: Simplify 1/4 into 1/4 7.177 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 7.177 * [taylor]: Taking taylor expansion of (pow U 2) in K 7.177 * [taylor]: Taking taylor expansion of U in K 7.177 * [backup-simplify]: Simplify U into U 7.177 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 7.177 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 7.177 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 7.177 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 7.177 * [taylor]: Taking taylor expansion of 1/2 in K 7.177 * [backup-simplify]: Simplify 1/2 into 1/2 7.177 * [taylor]: Taking taylor expansion of K in K 7.177 * [backup-simplify]: Simplify 0 into 0 7.177 * [backup-simplify]: Simplify 1 into 1 7.177 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.178 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.178 * [taylor]: Taking taylor expansion of (pow J 2) in K 7.178 * [taylor]: Taking taylor expansion of J in K 7.178 * [backup-simplify]: Simplify J into J 7.178 * [backup-simplify]: Simplify (* U U) into (pow U 2) 7.179 * [backup-simplify]: Simplify (* 1 1) into 1 7.179 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.179 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 7.179 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 7.179 * [taylor]: Taking taylor expansion of 1 in K 7.179 * [backup-simplify]: Simplify 1 into 1 7.179 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 7.179 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 7.180 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 7.180 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 7.180 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 7.180 * [backup-simplify]: Simplify (+ 0) into 0 7.181 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.181 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 7.182 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 7.182 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 7.182 * [backup-simplify]: Simplify (+ 0 0) into 0 7.183 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 7.183 * [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 7.183 * [taylor]: Taking taylor expansion of -2 in J 7.183 * [backup-simplify]: Simplify -2 into -2 7.183 * [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 7.183 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 7.183 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 7.183 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 7.183 * [taylor]: Taking taylor expansion of 1/2 in J 7.183 * [backup-simplify]: Simplify 1/2 into 1/2 7.183 * [taylor]: Taking taylor expansion of K in J 7.183 * [backup-simplify]: Simplify K into K 7.183 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 7.183 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 7.183 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 7.183 * [taylor]: Taking taylor expansion of J in J 7.183 * [backup-simplify]: Simplify 0 into 0 7.183 * [backup-simplify]: Simplify 1 into 1 7.183 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 7.183 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 7.183 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 7.183 * [taylor]: Taking taylor expansion of 1/4 in J 7.183 * [backup-simplify]: Simplify 1/4 into 1/4 7.184 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 7.184 * [taylor]: Taking taylor expansion of (pow U 2) in J 7.184 * [taylor]: Taking taylor expansion of U in J 7.184 * [backup-simplify]: Simplify U into U 7.184 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 7.184 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 7.184 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 7.184 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 7.184 * [taylor]: Taking taylor expansion of 1/2 in J 7.184 * [backup-simplify]: Simplify 1/2 into 1/2 7.184 * [taylor]: Taking taylor expansion of K in J 7.184 * [backup-simplify]: Simplify K into K 7.184 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 7.184 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 7.184 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 7.184 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 7.184 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 7.185 * [backup-simplify]: Simplify (- 0) into 0 7.185 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 7.185 * [taylor]: Taking taylor expansion of (pow J 2) in J 7.185 * [taylor]: Taking taylor expansion of J in J 7.185 * [backup-simplify]: Simplify 0 into 0 7.185 * [backup-simplify]: Simplify 1 into 1 7.185 * [backup-simplify]: Simplify (* U U) into (pow U 2) 7.185 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 7.185 * [backup-simplify]: Simplify (* 1 1) into 1 7.185 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 7.186 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 7.186 * [taylor]: Taking taylor expansion of 1 in J 7.186 * [backup-simplify]: Simplify 1 into 1 7.186 * [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))) 7.186 * [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))) 7.186 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 7.186 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 7.187 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.187 * [backup-simplify]: Simplify (+ 0) into 0 7.188 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 7.188 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 7.189 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.190 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 7.190 * [backup-simplify]: Simplify (- 0) into 0 7.190 * [backup-simplify]: Simplify (+ 0 0) into 0 7.190 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 7.191 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 7.192 * [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 7.192 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 7.193 * [backup-simplify]: Simplify (+ 0 0) into 0 7.193 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 7.193 * [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 7.193 * [taylor]: Taking taylor expansion of -2 in U 7.193 * [backup-simplify]: Simplify -2 into -2 7.193 * [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 7.193 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 7.193 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 7.193 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 7.193 * [taylor]: Taking taylor expansion of 1/2 in U 7.193 * [backup-simplify]: Simplify 1/2 into 1/2 7.193 * [taylor]: Taking taylor expansion of K in U 7.193 * [backup-simplify]: Simplify K into K 7.193 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 7.193 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 7.193 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 7.194 * [taylor]: Taking taylor expansion of J in U 7.194 * [backup-simplify]: Simplify J into J 7.194 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 7.194 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 7.194 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 7.194 * [taylor]: Taking taylor expansion of 1/4 in U 7.194 * [backup-simplify]: Simplify 1/4 into 1/4 7.194 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 7.194 * [taylor]: Taking taylor expansion of (pow U 2) in U 7.194 * [taylor]: Taking taylor expansion of U in U 7.194 * [backup-simplify]: Simplify 0 into 0 7.194 * [backup-simplify]: Simplify 1 into 1 7.194 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 7.194 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 7.194 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 7.194 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 7.194 * [taylor]: Taking taylor expansion of 1/2 in U 7.194 * [backup-simplify]: Simplify 1/2 into 1/2 7.194 * [taylor]: Taking taylor expansion of K in U 7.194 * [backup-simplify]: Simplify K into K 7.194 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 7.194 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 7.194 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 7.194 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 7.194 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 7.195 * [backup-simplify]: Simplify (- 0) into 0 7.195 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 7.195 * [taylor]: Taking taylor expansion of (pow J 2) in U 7.195 * [taylor]: Taking taylor expansion of J in U 7.195 * [backup-simplify]: Simplify J into J 7.195 * [backup-simplify]: Simplify (* 1 1) into 1 7.195 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 7.196 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.196 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 7.196 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 7.196 * [taylor]: Taking taylor expansion of 1 in U 7.196 * [backup-simplify]: Simplify 1 into 1 7.196 * [backup-simplify]: Simplify (+ 0 1) into 1 7.198 * [backup-simplify]: Simplify (sqrt 1) into 1 7.198 * [backup-simplify]: Simplify (+ 0 0) into 0 7.199 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.199 * [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 7.199 * [taylor]: Taking taylor expansion of -2 in U 7.199 * [backup-simplify]: Simplify -2 into -2 7.199 * [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 7.199 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 7.199 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 7.199 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 7.199 * [taylor]: Taking taylor expansion of 1/2 in U 7.199 * [backup-simplify]: Simplify 1/2 into 1/2 7.199 * [taylor]: Taking taylor expansion of K in U 7.199 * [backup-simplify]: Simplify K into K 7.199 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 7.199 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 7.199 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 7.199 * [taylor]: Taking taylor expansion of J in U 7.199 * [backup-simplify]: Simplify J into J 7.200 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 7.200 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 7.200 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 7.200 * [taylor]: Taking taylor expansion of 1/4 in U 7.200 * [backup-simplify]: Simplify 1/4 into 1/4 7.200 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 7.200 * [taylor]: Taking taylor expansion of (pow U 2) in U 7.200 * [taylor]: Taking taylor expansion of U in U 7.200 * [backup-simplify]: Simplify 0 into 0 7.200 * [backup-simplify]: Simplify 1 into 1 7.200 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 7.200 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 7.200 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 7.200 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 7.200 * [taylor]: Taking taylor expansion of 1/2 in U 7.200 * [backup-simplify]: Simplify 1/2 into 1/2 7.200 * [taylor]: Taking taylor expansion of K in U 7.200 * [backup-simplify]: Simplify K into K 7.200 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 7.200 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 7.200 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 7.200 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 7.200 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 7.201 * [backup-simplify]: Simplify (- 0) into 0 7.201 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 7.201 * [taylor]: Taking taylor expansion of (pow J 2) in U 7.201 * [taylor]: Taking taylor expansion of J in U 7.201 * [backup-simplify]: Simplify J into J 7.201 * [backup-simplify]: Simplify (* 1 1) into 1 7.201 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 7.201 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.202 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 7.202 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 7.202 * [taylor]: Taking taylor expansion of 1 in U 7.202 * [backup-simplify]: Simplify 1 into 1 7.202 * [backup-simplify]: Simplify (+ 0 1) into 1 7.203 * [backup-simplify]: Simplify (sqrt 1) into 1 7.203 * [backup-simplify]: Simplify (+ 0 0) into 0 7.208 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.209 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 7.209 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 7.209 * [backup-simplify]: Simplify (- 0) into 0 7.210 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 7.210 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 7.210 * [backup-simplify]: Simplify (* (* (cos (* 1/2 K)) J) 1) into (* (cos (* 1/2 K)) J) 7.210 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J)) 7.210 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J 7.210 * [taylor]: Taking taylor expansion of -2 in J 7.210 * [backup-simplify]: Simplify -2 into -2 7.210 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 7.210 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 7.210 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 7.210 * [taylor]: Taking taylor expansion of 1/2 in J 7.210 * [backup-simplify]: Simplify 1/2 into 1/2 7.210 * [taylor]: Taking taylor expansion of K in J 7.210 * [backup-simplify]: Simplify K into K 7.210 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 7.210 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 7.210 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 7.210 * [taylor]: Taking taylor expansion of J in J 7.210 * [backup-simplify]: Simplify 0 into 0 7.210 * [backup-simplify]: Simplify 1 into 1 7.211 * [backup-simplify]: Simplify (+ 0) into 0 7.211 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 7.212 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 7.213 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.213 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 7.213 * [backup-simplify]: Simplify (- 0) into 0 7.214 * [backup-simplify]: Simplify (+ 0 0) into 0 7.214 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 7.214 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (* 0 1)) into 0 7.215 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0 7.215 * [taylor]: Taking taylor expansion of 0 in J 7.215 * [backup-simplify]: Simplify 0 into 0 7.215 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 7.215 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 7.216 * [backup-simplify]: Simplify (- 0) into 0 7.216 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 7.216 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 7.216 * [backup-simplify]: Simplify (* -2 0) into 0 7.216 * [taylor]: Taking taylor expansion of 0 in K 7.216 * [backup-simplify]: Simplify 0 into 0 7.216 * [backup-simplify]: Simplify 0 into 0 7.217 * [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))) 7.217 * [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)))) 7.218 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 7.219 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.220 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.221 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 7.221 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.222 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.222 * [backup-simplify]: Simplify (- 0) into 0 7.223 * [backup-simplify]: Simplify (+ 0 0) into 0 7.223 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0 7.224 * [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))) 7.225 * [backup-simplify]: Simplify (+ (* -2 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J)))) into (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) 7.225 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in J 7.225 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in J 7.225 * [taylor]: Taking taylor expansion of 1/4 in J 7.225 * [backup-simplify]: Simplify 1/4 into 1/4 7.225 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in J 7.225 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 7.225 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 7.225 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 7.225 * [taylor]: Taking taylor expansion of 1/2 in J 7.225 * [backup-simplify]: Simplify 1/2 into 1/2 7.225 * [taylor]: Taking taylor expansion of K in J 7.225 * [backup-simplify]: Simplify K into K 7.225 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 7.225 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 7.225 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 7.225 * [taylor]: Taking taylor expansion of J in J 7.225 * [backup-simplify]: Simplify 0 into 0 7.225 * [backup-simplify]: Simplify 1 into 1 7.225 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 7.225 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 7.226 * [backup-simplify]: Simplify (- 0) into 0 7.226 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 7.226 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 7.226 * [backup-simplify]: Simplify (+ 0) into 0 7.227 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 7.227 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 7.228 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.228 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 7.229 * [backup-simplify]: Simplify (- 0) into 0 7.229 * [backup-simplify]: Simplify (+ 0 0) into 0 7.230 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 7.230 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 K))) into (/ 1 (cos (* 1/2 K))) 7.230 * [backup-simplify]: Simplify (* 1/4 (/ 1 (cos (* 1/2 K)))) into (/ 1/4 (cos (* 1/2 K))) 7.230 * [backup-simplify]: Simplify (- (/ 1/4 (cos (* 1/2 K)))) into (- (* 1/4 (/ 1 (cos (* 1/2 K))))) 7.230 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (cos (* 1/2 K))))) in K 7.230 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (cos (* 1/2 K)))) in K 7.230 * [taylor]: Taking taylor expansion of 1/4 in K 7.230 * [backup-simplify]: Simplify 1/4 into 1/4 7.230 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 1/2 K))) in K 7.230 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 7.230 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 7.230 * [taylor]: Taking taylor expansion of 1/2 in K 7.230 * [backup-simplify]: Simplify 1/2 into 1/2 7.230 * [taylor]: Taking taylor expansion of K in K 7.230 * [backup-simplify]: Simplify 0 into 0 7.230 * [backup-simplify]: Simplify 1 into 1 7.231 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.231 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.232 * [backup-simplify]: Simplify (/ 1 1) into 1 7.232 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 7.233 * [backup-simplify]: Simplify (- 1/4) into -1/4 7.233 * [backup-simplify]: Simplify -1/4 into -1/4 7.233 * [taylor]: Taking taylor expansion of 0 in K 7.233 * [backup-simplify]: Simplify 0 into 0 7.233 * [backup-simplify]: Simplify 0 into 0 7.233 * [backup-simplify]: Simplify (+ 0) into 0 7.234 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 7.234 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 7.235 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.235 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 7.236 * [backup-simplify]: Simplify (- 0) into 0 7.236 * [backup-simplify]: Simplify (+ 0 0) into 0 7.236 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 7.237 * [backup-simplify]: Simplify (+ (* -2 (cos (* 1/2 K))) (* 0 0)) into (- (* 2 (cos (* 1/2 K)))) 7.237 * [taylor]: Taking taylor expansion of (- (* 2 (cos (* 1/2 K)))) in K 7.237 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K 7.237 * [taylor]: Taking taylor expansion of 2 in K 7.237 * [backup-simplify]: Simplify 2 into 2 7.237 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 7.237 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 7.237 * [taylor]: Taking taylor expansion of 1/2 in K 7.237 * [backup-simplify]: Simplify 1/2 into 1/2 7.237 * [taylor]: Taking taylor expansion of K in K 7.237 * [backup-simplify]: Simplify 0 into 0 7.237 * [backup-simplify]: Simplify 1 into 1 7.238 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.238 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.239 * [backup-simplify]: Simplify (* 2 1) into 2 7.239 * [backup-simplify]: Simplify (- 2) into -2 7.239 * [backup-simplify]: Simplify -2 into -2 7.239 * [backup-simplify]: Simplify 0 into 0 7.240 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.240 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 7.241 * [backup-simplify]: Simplify (+ 0) into 0 7.242 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 7.242 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 7.243 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.243 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 7.244 * [backup-simplify]: Simplify (- 0) into 0 7.244 * [backup-simplify]: Simplify (+ 0 0) into 0 7.244 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 7.244 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 7.245 * [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 7.246 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 7.246 * [backup-simplify]: Simplify (+ 0 0) into 0 7.247 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 7.248 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.248 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.250 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 7.251 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 7.252 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 7.252 * [backup-simplify]: Simplify (- 0) into 0 7.253 * [backup-simplify]: Simplify (+ 0 0) into 0 7.253 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 7.254 * [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 7.255 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0 7.255 * [taylor]: Taking taylor expansion of 0 in J 7.255 * [backup-simplify]: Simplify 0 into 0 7.256 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.257 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.258 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 7.259 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.259 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.260 * [backup-simplify]: Simplify (- 0) into 0 7.260 * [backup-simplify]: Simplify (+ 0 0) into 0 7.261 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 7.261 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 7.262 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (* 1/2 K))))) into 0 7.262 * [backup-simplify]: Simplify (- 0) into 0 7.262 * [taylor]: Taking taylor expansion of 0 in K 7.262 * [backup-simplify]: Simplify 0 into 0 7.262 * [backup-simplify]: Simplify 0 into 0 7.262 * [taylor]: Taking taylor expansion of 0 in K 7.262 * [backup-simplify]: Simplify 0 into 0 7.262 * [backup-simplify]: Simplify 0 into 0 7.263 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.264 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.265 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 7.265 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.266 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.266 * [backup-simplify]: Simplify (- 0) into 0 7.267 * [backup-simplify]: Simplify (+ 0 0) into 0 7.267 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 7.268 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0 7.268 * [taylor]: Taking taylor expansion of 0 in K 7.268 * [backup-simplify]: Simplify 0 into 0 7.268 * [backup-simplify]: Simplify 0 into 0 7.269 * [backup-simplify]: Simplify (+ 0) into 0 7.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.270 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 7.270 * [backup-simplify]: Simplify (- 0) into 0 7.271 * [backup-simplify]: Simplify 0 into 0 7.271 * [backup-simplify]: Simplify 0 into 0 7.271 * [backup-simplify]: Simplify (+ (* -2 (* 1 (* J 1))) (* -1/4 (* 1 (* (/ 1 J) (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 7.272 * [backup-simplify]: Simplify (* (* (sqrt (+ (* (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) 1)) (cos (/ (/ 1 K) 2))) (* -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))) 7.272 * [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 J K) around 0 7.272 * [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 7.272 * [taylor]: Taking taylor expansion of -2 in K 7.272 * [backup-simplify]: Simplify -2 into -2 7.272 * [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 7.272 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 7.272 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 7.272 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 7.272 * [taylor]: Taking taylor expansion of 1/4 in K 7.272 * [backup-simplify]: Simplify 1/4 into 1/4 7.272 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 7.272 * [taylor]: Taking taylor expansion of (pow J 2) in K 7.272 * [taylor]: Taking taylor expansion of J in K 7.272 * [backup-simplify]: Simplify J into J 7.272 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 7.272 * [taylor]: Taking taylor expansion of (pow U 2) in K 7.272 * [taylor]: Taking taylor expansion of U in K 7.272 * [backup-simplify]: Simplify U into U 7.272 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 7.272 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 7.272 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 7.272 * [taylor]: Taking taylor expansion of 1/2 in K 7.272 * [backup-simplify]: Simplify 1/2 into 1/2 7.272 * [taylor]: Taking taylor expansion of K in K 7.272 * [backup-simplify]: Simplify 0 into 0 7.272 * [backup-simplify]: Simplify 1 into 1 7.273 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.273 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.273 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.273 * [backup-simplify]: Simplify (* U U) into (pow U 2) 7.273 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 7.273 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 7.274 * [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))) 7.274 * [taylor]: Taking taylor expansion of 1 in K 7.274 * [backup-simplify]: Simplify 1 into 1 7.274 * [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)))) 7.275 * [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) 7.275 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 7.275 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 7.275 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 7.275 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 7.275 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 7.276 * [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 7.277 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 7.277 * [backup-simplify]: Simplify (+ 0 0) into 0 7.278 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 7.278 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 7.278 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 7.278 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 7.278 * [taylor]: Taking taylor expansion of 1/2 in K 7.278 * [backup-simplify]: Simplify 1/2 into 1/2 7.278 * [taylor]: Taking taylor expansion of K in K 7.278 * [backup-simplify]: Simplify 0 into 0 7.278 * [backup-simplify]: Simplify 1 into 1 7.278 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.278 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.278 * [taylor]: Taking taylor expansion of J in K 7.278 * [backup-simplify]: Simplify J into J 7.279 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 7.279 * [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 7.279 * [taylor]: Taking taylor expansion of -2 in J 7.279 * [backup-simplify]: Simplify -2 into -2 7.279 * [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 7.279 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 7.279 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 7.279 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 7.279 * [taylor]: Taking taylor expansion of 1/4 in J 7.279 * [backup-simplify]: Simplify 1/4 into 1/4 7.279 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 7.279 * [taylor]: Taking taylor expansion of (pow J 2) in J 7.279 * [taylor]: Taking taylor expansion of J in J 7.279 * [backup-simplify]: Simplify 0 into 0 7.279 * [backup-simplify]: Simplify 1 into 1 7.279 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 7.279 * [taylor]: Taking taylor expansion of (pow U 2) in J 7.279 * [taylor]: Taking taylor expansion of U in J 7.279 * [backup-simplify]: Simplify U into U 7.279 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 7.279 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 7.279 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 7.279 * [taylor]: Taking taylor expansion of 1/2 in J 7.279 * [backup-simplify]: Simplify 1/2 into 1/2 7.279 * [taylor]: Taking taylor expansion of K in J 7.279 * [backup-simplify]: Simplify K into K 7.279 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.279 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.279 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.279 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.280 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.280 * [backup-simplify]: Simplify (- 0) into 0 7.280 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.280 * [backup-simplify]: Simplify (* 1 1) into 1 7.280 * [backup-simplify]: Simplify (* U U) into (pow U 2) 7.281 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 7.281 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 7.281 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 7.281 * [taylor]: Taking taylor expansion of 1 in J 7.281 * [backup-simplify]: Simplify 1 into 1 7.281 * [backup-simplify]: Simplify (+ 0 1) into 1 7.282 * [backup-simplify]: Simplify (sqrt 1) into 1 7.282 * [backup-simplify]: Simplify (+ 0 0) into 0 7.283 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.283 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 7.283 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 7.283 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 7.283 * [taylor]: Taking taylor expansion of 1/2 in J 7.283 * [backup-simplify]: Simplify 1/2 into 1/2 7.283 * [taylor]: Taking taylor expansion of K in J 7.283 * [backup-simplify]: Simplify K into K 7.283 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.283 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.283 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.283 * [taylor]: Taking taylor expansion of J in J 7.283 * [backup-simplify]: Simplify 0 into 0 7.283 * [backup-simplify]: Simplify 1 into 1 7.283 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.283 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.284 * [backup-simplify]: Simplify (- 0) into 0 7.284 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.284 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.284 * [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 7.284 * [taylor]: Taking taylor expansion of -2 in U 7.284 * [backup-simplify]: Simplify -2 into -2 7.284 * [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 7.284 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 7.284 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 7.284 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 7.284 * [taylor]: Taking taylor expansion of 1/4 in U 7.284 * [backup-simplify]: Simplify 1/4 into 1/4 7.284 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 7.284 * [taylor]: Taking taylor expansion of (pow J 2) in U 7.284 * [taylor]: Taking taylor expansion of J in U 7.284 * [backup-simplify]: Simplify J into J 7.284 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 7.284 * [taylor]: Taking taylor expansion of (pow U 2) in U 7.284 * [taylor]: Taking taylor expansion of U in U 7.285 * [backup-simplify]: Simplify 0 into 0 7.285 * [backup-simplify]: Simplify 1 into 1 7.285 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 7.285 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 7.285 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 7.285 * [taylor]: Taking taylor expansion of 1/2 in U 7.285 * [backup-simplify]: Simplify 1/2 into 1/2 7.285 * [taylor]: Taking taylor expansion of K in U 7.285 * [backup-simplify]: Simplify K into K 7.285 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.285 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.285 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.285 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.285 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.285 * [backup-simplify]: Simplify (- 0) into 0 7.286 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.286 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.286 * [backup-simplify]: Simplify (* 1 1) into 1 7.286 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 7.286 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 7.286 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 7.286 * [taylor]: Taking taylor expansion of 1 in U 7.286 * [backup-simplify]: Simplify 1 into 1 7.287 * [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))) 7.287 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 7.287 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 7.287 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 7.288 * [backup-simplify]: Simplify (+ 0) into 0 7.288 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 7.288 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 7.289 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.289 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 7.290 * [backup-simplify]: Simplify (- 0) into 0 7.290 * [backup-simplify]: Simplify (+ 0 0) into 0 7.290 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 7.291 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.292 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 7.292 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 7.293 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 7.293 * [backup-simplify]: Simplify (+ 0 0) into 0 7.293 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 7.293 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 7.293 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 7.293 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 7.293 * [taylor]: Taking taylor expansion of 1/2 in U 7.293 * [backup-simplify]: Simplify 1/2 into 1/2 7.293 * [taylor]: Taking taylor expansion of K in U 7.293 * [backup-simplify]: Simplify K into K 7.293 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.293 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.294 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.294 * [taylor]: Taking taylor expansion of J in U 7.294 * [backup-simplify]: Simplify J into J 7.294 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.294 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.294 * [backup-simplify]: Simplify (- 0) into 0 7.294 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.294 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 7.294 * [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 7.294 * [taylor]: Taking taylor expansion of -2 in U 7.294 * [backup-simplify]: Simplify -2 into -2 7.294 * [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 7.294 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 7.295 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 7.295 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 7.295 * [taylor]: Taking taylor expansion of 1/4 in U 7.295 * [backup-simplify]: Simplify 1/4 into 1/4 7.295 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 7.295 * [taylor]: Taking taylor expansion of (pow J 2) in U 7.295 * [taylor]: Taking taylor expansion of J in U 7.295 * [backup-simplify]: Simplify J into J 7.295 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 7.295 * [taylor]: Taking taylor expansion of (pow U 2) in U 7.295 * [taylor]: Taking taylor expansion of U in U 7.295 * [backup-simplify]: Simplify 0 into 0 7.295 * [backup-simplify]: Simplify 1 into 1 7.295 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 7.295 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 7.295 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 7.295 * [taylor]: Taking taylor expansion of 1/2 in U 7.295 * [backup-simplify]: Simplify 1/2 into 1/2 7.295 * [taylor]: Taking taylor expansion of K in U 7.295 * [backup-simplify]: Simplify K into K 7.295 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.295 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.295 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.295 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.295 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.296 * [backup-simplify]: Simplify (- 0) into 0 7.296 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.296 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.296 * [backup-simplify]: Simplify (* 1 1) into 1 7.296 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 7.297 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 7.297 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 7.297 * [taylor]: Taking taylor expansion of 1 in U 7.297 * [backup-simplify]: Simplify 1 into 1 7.297 * [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))) 7.297 * [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))) 7.298 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 7.298 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 7.298 * [backup-simplify]: Simplify (+ 0) into 0 7.299 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 7.299 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 7.299 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.300 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 7.300 * [backup-simplify]: Simplify (- 0) into 0 7.301 * [backup-simplify]: Simplify (+ 0 0) into 0 7.301 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 7.301 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.302 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 7.303 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 7.303 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 7.304 * [backup-simplify]: Simplify (+ 0 0) into 0 7.304 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 7.304 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 7.304 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 7.304 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 7.304 * [taylor]: Taking taylor expansion of 1/2 in U 7.304 * [backup-simplify]: Simplify 1/2 into 1/2 7.304 * [taylor]: Taking taylor expansion of K in U 7.304 * [backup-simplify]: Simplify K into K 7.304 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.304 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.304 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.304 * [taylor]: Taking taylor expansion of J in U 7.304 * [backup-simplify]: Simplify J into J 7.304 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.304 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.305 * [backup-simplify]: Simplify (- 0) into 0 7.305 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.305 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 7.305 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ (cos (/ 1/2 K)) J)) into 1/2 7.306 * [backup-simplify]: Simplify (* -2 1/2) into -1 7.306 * [taylor]: Taking taylor expansion of -1 in J 7.306 * [backup-simplify]: Simplify -1 into -1 7.306 * [backup-simplify]: Simplify (+ 0) into 0 7.307 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 7.307 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 7.307 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.308 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 7.308 * [backup-simplify]: Simplify (- 0) into 0 7.309 * [backup-simplify]: Simplify (+ 0 0) into 0 7.309 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 7.309 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (/ (cos (/ 1/2 K)) J))) into 0 7.310 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0 7.310 * [taylor]: Taking taylor expansion of 0 in J 7.310 * [backup-simplify]: Simplify 0 into 0 7.310 * [taylor]: Taking taylor expansion of -1 in K 7.310 * [backup-simplify]: Simplify -1 into -1 7.310 * [backup-simplify]: Simplify -1 into -1 7.311 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.312 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.312 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.313 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.313 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.313 * [backup-simplify]: Simplify (- 0) into 0 7.314 * [backup-simplify]: Simplify (+ 0 0) into 0 7.314 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 7.314 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 7.315 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.316 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.316 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.317 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.318 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.318 * [backup-simplify]: Simplify (- 0) into 0 7.318 * [backup-simplify]: Simplify (+ 0 0) into 0 7.319 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 7.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 7.321 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 7.322 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 7.322 * [backup-simplify]: Simplify (+ 0 1) into 1 7.323 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 7.324 * [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)) 7.325 * [backup-simplify]: Simplify (+ (* -2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) 7.325 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J 7.325 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J 7.325 * [taylor]: Taking taylor expansion of 2 in J 7.325 * [backup-simplify]: Simplify 2 into 2 7.325 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J 7.325 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 7.325 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 7.326 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 7.326 * [taylor]: Taking taylor expansion of 1/2 in J 7.326 * [backup-simplify]: Simplify 1/2 into 1/2 7.326 * [taylor]: Taking taylor expansion of K in J 7.326 * [backup-simplify]: Simplify K into K 7.326 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.326 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.326 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.326 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.326 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.326 * [backup-simplify]: Simplify (- 0) into 0 7.326 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.327 * [taylor]: Taking taylor expansion of (pow J 2) in J 7.327 * [taylor]: Taking taylor expansion of J in J 7.327 * [backup-simplify]: Simplify 0 into 0 7.327 * [backup-simplify]: Simplify 1 into 1 7.327 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 7.327 * [backup-simplify]: Simplify (* 1 1) into 1 7.327 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 7.328 * [backup-simplify]: Simplify (+ 0) into 0 7.328 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 7.328 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 7.329 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.330 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 7.330 * [backup-simplify]: Simplify (- 0) into 0 7.330 * [backup-simplify]: Simplify (+ 0 0) into 0 7.330 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 7.331 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.332 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 7.333 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 7.333 * [backup-simplify]: Simplify (- 0) into 0 7.333 * [taylor]: Taking taylor expansion of 0 in K 7.333 * [backup-simplify]: Simplify 0 into 0 7.333 * [backup-simplify]: Simplify 0 into 0 7.333 * [taylor]: Taking taylor expansion of 0 in K 7.333 * [backup-simplify]: Simplify 0 into 0 7.333 * [backup-simplify]: Simplify 0 into 0 7.333 * [taylor]: Taking taylor expansion of 0 in K 7.333 * [backup-simplify]: Simplify 0 into 0 7.333 * [backup-simplify]: Simplify 0 into 0 7.333 * [backup-simplify]: Simplify 0 into 0 7.334 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.335 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.336 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.337 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 7.338 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 7.338 * [backup-simplify]: Simplify (- 0) into 0 7.339 * [backup-simplify]: Simplify (+ 0 0) into 0 7.339 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 7.340 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 7.340 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.341 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.341 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.342 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 7.342 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 7.343 * [backup-simplify]: Simplify (- 0) into 0 7.343 * [backup-simplify]: Simplify (+ 0 0) into 0 7.343 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 7.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 7.345 * [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 7.346 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 7.346 * [backup-simplify]: Simplify (+ 0 0) into 0 7.346 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 7.347 * [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 7.351 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 7.351 * [taylor]: Taking taylor expansion of 0 in J 7.351 * [backup-simplify]: Simplify 0 into 0 7.352 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.353 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.353 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.353 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.354 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.354 * [backup-simplify]: Simplify (- 0) into 0 7.354 * [backup-simplify]: Simplify (+ 0 0) into 0 7.354 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 7.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.356 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.356 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 7.357 * [backup-simplify]: Simplify (- 0) into 0 7.357 * [taylor]: Taking taylor expansion of 0 in K 7.357 * [backup-simplify]: Simplify 0 into 0 7.357 * [backup-simplify]: Simplify 0 into 0 7.357 * [taylor]: Taking taylor expansion of 0 in K 7.357 * [backup-simplify]: Simplify 0 into 0 7.357 * [backup-simplify]: Simplify 0 into 0 7.357 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U) 7.357 * [backup-simplify]: Simplify (* (* (sqrt (+ (* (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) 1)) (cos (/ (/ 1 (- K)) 2))) (* -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)))))))) 7.357 * [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 J K) around 0 7.357 * [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 7.357 * [taylor]: Taking taylor expansion of 2 in K 7.357 * [backup-simplify]: Simplify 2 into 2 7.357 * [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 7.358 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 7.358 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 7.358 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 7.358 * [taylor]: Taking taylor expansion of -1/2 in K 7.358 * [backup-simplify]: Simplify -1/2 into -1/2 7.358 * [taylor]: Taking taylor expansion of K in K 7.358 * [backup-simplify]: Simplify 0 into 0 7.358 * [backup-simplify]: Simplify 1 into 1 7.358 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.358 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.358 * [taylor]: Taking taylor expansion of J in K 7.358 * [backup-simplify]: Simplify J into J 7.358 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 7.358 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 7.358 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 7.358 * [taylor]: Taking taylor expansion of 1 in K 7.358 * [backup-simplify]: Simplify 1 into 1 7.358 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 7.358 * [taylor]: Taking taylor expansion of 1/4 in K 7.358 * [backup-simplify]: Simplify 1/4 into 1/4 7.358 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 7.358 * [taylor]: Taking taylor expansion of (pow J 2) in K 7.358 * [taylor]: Taking taylor expansion of J in K 7.358 * [backup-simplify]: Simplify J into J 7.358 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 7.358 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 7.358 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 7.358 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 7.358 * [taylor]: Taking taylor expansion of -1/2 in K 7.358 * [backup-simplify]: Simplify -1/2 into -1/2 7.358 * [taylor]: Taking taylor expansion of K in K 7.358 * [backup-simplify]: Simplify 0 into 0 7.358 * [backup-simplify]: Simplify 1 into 1 7.359 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.359 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.359 * [taylor]: Taking taylor expansion of (pow U 2) in K 7.359 * [taylor]: Taking taylor expansion of U in K 7.359 * [backup-simplify]: Simplify U into U 7.359 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.359 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 7.359 * [backup-simplify]: Simplify (* U U) into (pow U 2) 7.359 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 7.359 * [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))) 7.359 * [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)))) 7.360 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 7.360 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 7.360 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 7.360 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 7.360 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 7.360 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 7.360 * [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 7.361 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 7.361 * [backup-simplify]: Simplify (+ 0 0) into 0 7.361 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 7.361 * [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 7.361 * [taylor]: Taking taylor expansion of 2 in J 7.362 * [backup-simplify]: Simplify 2 into 2 7.362 * [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 7.362 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 7.362 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 7.362 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 7.362 * [taylor]: Taking taylor expansion of -1/2 in J 7.362 * [backup-simplify]: Simplify -1/2 into -1/2 7.362 * [taylor]: Taking taylor expansion of K in J 7.362 * [backup-simplify]: Simplify K into K 7.362 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.362 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.362 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.362 * [taylor]: Taking taylor expansion of J in J 7.362 * [backup-simplify]: Simplify 0 into 0 7.362 * [backup-simplify]: Simplify 1 into 1 7.362 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.362 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.362 * [backup-simplify]: Simplify (- 0) into 0 7.362 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.362 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.363 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 7.363 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 7.363 * [taylor]: Taking taylor expansion of 1 in J 7.363 * [backup-simplify]: Simplify 1 into 1 7.363 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 7.363 * [taylor]: Taking taylor expansion of 1/4 in J 7.363 * [backup-simplify]: Simplify 1/4 into 1/4 7.363 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 7.363 * [taylor]: Taking taylor expansion of (pow J 2) in J 7.363 * [taylor]: Taking taylor expansion of J in J 7.363 * [backup-simplify]: Simplify 0 into 0 7.363 * [backup-simplify]: Simplify 1 into 1 7.363 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 7.363 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 7.363 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 7.363 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 7.363 * [taylor]: Taking taylor expansion of -1/2 in J 7.363 * [backup-simplify]: Simplify -1/2 into -1/2 7.363 * [taylor]: Taking taylor expansion of K in J 7.363 * [backup-simplify]: Simplify K into K 7.363 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.363 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.363 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.363 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.363 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.363 * [backup-simplify]: Simplify (- 0) into 0 7.363 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.363 * [taylor]: Taking taylor expansion of (pow U 2) in J 7.363 * [taylor]: Taking taylor expansion of U in J 7.363 * [backup-simplify]: Simplify U into U 7.364 * [backup-simplify]: Simplify (* 1 1) into 1 7.364 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 7.364 * [backup-simplify]: Simplify (* U U) into (pow U 2) 7.364 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 7.364 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 7.364 * [backup-simplify]: Simplify (+ 1 0) into 1 7.365 * [backup-simplify]: Simplify (sqrt 1) into 1 7.365 * [backup-simplify]: Simplify (+ 0 0) into 0 7.365 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.365 * [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 7.365 * [taylor]: Taking taylor expansion of 2 in U 7.365 * [backup-simplify]: Simplify 2 into 2 7.365 * [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 7.366 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 7.366 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 7.366 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 7.366 * [taylor]: Taking taylor expansion of -1/2 in U 7.366 * [backup-simplify]: Simplify -1/2 into -1/2 7.366 * [taylor]: Taking taylor expansion of K in U 7.366 * [backup-simplify]: Simplify K into K 7.366 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.366 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.366 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.366 * [taylor]: Taking taylor expansion of J in U 7.366 * [backup-simplify]: Simplify J into J 7.366 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.366 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.366 * [backup-simplify]: Simplify (- 0) into 0 7.366 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.366 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 7.366 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 7.366 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 7.366 * [taylor]: Taking taylor expansion of 1 in U 7.366 * [backup-simplify]: Simplify 1 into 1 7.366 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 7.366 * [taylor]: Taking taylor expansion of 1/4 in U 7.366 * [backup-simplify]: Simplify 1/4 into 1/4 7.366 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 7.366 * [taylor]: Taking taylor expansion of (pow J 2) in U 7.366 * [taylor]: Taking taylor expansion of J in U 7.366 * [backup-simplify]: Simplify J into J 7.366 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 7.366 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 7.366 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 7.367 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 7.367 * [taylor]: Taking taylor expansion of -1/2 in U 7.367 * [backup-simplify]: Simplify -1/2 into -1/2 7.367 * [taylor]: Taking taylor expansion of K in U 7.367 * [backup-simplify]: Simplify K into K 7.367 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.367 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.367 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.367 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.367 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.367 * [backup-simplify]: Simplify (- 0) into 0 7.367 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.367 * [taylor]: Taking taylor expansion of (pow U 2) in U 7.367 * [taylor]: Taking taylor expansion of U in U 7.367 * [backup-simplify]: Simplify 0 into 0 7.367 * [backup-simplify]: Simplify 1 into 1 7.367 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.367 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 7.368 * [backup-simplify]: Simplify (* 1 1) into 1 7.368 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 7.368 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 7.368 * [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))) 7.368 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 7.368 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 7.368 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 7.369 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.369 * [backup-simplify]: Simplify (+ 0) into 0 7.369 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 7.369 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 7.370 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.370 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 7.370 * [backup-simplify]: Simplify (- 0) into 0 7.370 * [backup-simplify]: Simplify (+ 0 0) into 0 7.371 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 7.371 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 7.371 * [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 7.372 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 7.372 * [backup-simplify]: Simplify (+ 0 0) into 0 7.372 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 7.372 * [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 7.372 * [taylor]: Taking taylor expansion of 2 in U 7.372 * [backup-simplify]: Simplify 2 into 2 7.372 * [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 7.372 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 7.372 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 7.372 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 7.372 * [taylor]: Taking taylor expansion of -1/2 in U 7.372 * [backup-simplify]: Simplify -1/2 into -1/2 7.372 * [taylor]: Taking taylor expansion of K in U 7.372 * [backup-simplify]: Simplify K into K 7.372 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.372 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.372 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.372 * [taylor]: Taking taylor expansion of J in U 7.372 * [backup-simplify]: Simplify J into J 7.372 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.372 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.373 * [backup-simplify]: Simplify (- 0) into 0 7.373 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.373 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 7.373 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 7.373 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 7.373 * [taylor]: Taking taylor expansion of 1 in U 7.373 * [backup-simplify]: Simplify 1 into 1 7.373 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 7.373 * [taylor]: Taking taylor expansion of 1/4 in U 7.373 * [backup-simplify]: Simplify 1/4 into 1/4 7.373 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 7.373 * [taylor]: Taking taylor expansion of (pow J 2) in U 7.373 * [taylor]: Taking taylor expansion of J in U 7.373 * [backup-simplify]: Simplify J into J 7.373 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 7.373 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 7.373 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 7.373 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 7.373 * [taylor]: Taking taylor expansion of -1/2 in U 7.373 * [backup-simplify]: Simplify -1/2 into -1/2 7.373 * [taylor]: Taking taylor expansion of K in U 7.373 * [backup-simplify]: Simplify K into K 7.373 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.373 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.373 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.373 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.373 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.374 * [backup-simplify]: Simplify (- 0) into 0 7.374 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.374 * [taylor]: Taking taylor expansion of (pow U 2) in U 7.374 * [taylor]: Taking taylor expansion of U in U 7.374 * [backup-simplify]: Simplify 0 into 0 7.374 * [backup-simplify]: Simplify 1 into 1 7.374 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.374 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 7.374 * [backup-simplify]: Simplify (* 1 1) into 1 7.374 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 7.374 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 7.374 * [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))) 7.375 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 7.375 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 7.375 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 7.375 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.375 * [backup-simplify]: Simplify (+ 0) into 0 7.376 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 7.376 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 7.376 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.377 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 7.377 * [backup-simplify]: Simplify (- 0) into 0 7.377 * [backup-simplify]: Simplify (+ 0 0) into 0 7.377 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 7.377 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 7.378 * [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 7.378 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 7.378 * [backup-simplify]: Simplify (+ 0 0) into 0 7.379 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 7.379 * [backup-simplify]: Simplify (* (/ (cos (/ -1/2 K)) J) (* 1/2 (/ J (cos (/ -1/2 K))))) into 1/2 7.379 * [backup-simplify]: Simplify (* 2 1/2) into 1 7.379 * [taylor]: Taking taylor expansion of 1 in J 7.379 * [backup-simplify]: Simplify 1 into 1 7.379 * [backup-simplify]: Simplify (+ 0) into 0 7.380 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 7.380 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 7.380 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.380 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 7.381 * [backup-simplify]: Simplify (- 0) into 0 7.381 * [backup-simplify]: Simplify (+ 0 0) into 0 7.381 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0 7.381 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 7.382 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0 7.382 * [taylor]: Taking taylor expansion of 0 in J 7.382 * [backup-simplify]: Simplify 0 into 0 7.382 * [taylor]: Taking taylor expansion of 1 in K 7.382 * [backup-simplify]: Simplify 1 into 1 7.382 * [backup-simplify]: Simplify 1 into 1 7.382 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 7.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.383 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.384 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.384 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.384 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.384 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.385 * [backup-simplify]: Simplify (- 0) into 0 7.385 * [backup-simplify]: Simplify (+ 0 0) into 0 7.385 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 7.386 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 7.386 * [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 7.387 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 7.387 * [backup-simplify]: Simplify (+ 1 0) into 1 7.387 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 7.388 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.388 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.389 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.389 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.389 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.390 * [backup-simplify]: Simplify (- 0) into 0 7.390 * [backup-simplify]: Simplify (+ 0 0) into 0 7.390 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 7.390 * [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)) 7.391 * [backup-simplify]: Simplify (+ (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 7.391 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J 7.391 * [taylor]: Taking taylor expansion of 2 in J 7.391 * [backup-simplify]: Simplify 2 into 2 7.391 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J 7.391 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 7.391 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 7.391 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 7.391 * [taylor]: Taking taylor expansion of -1/2 in J 7.391 * [backup-simplify]: Simplify -1/2 into -1/2 7.391 * [taylor]: Taking taylor expansion of K in J 7.391 * [backup-simplify]: Simplify K into K 7.391 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.391 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.391 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.391 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.391 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.392 * [backup-simplify]: Simplify (- 0) into 0 7.392 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.392 * [taylor]: Taking taylor expansion of (pow J 2) in J 7.392 * [taylor]: Taking taylor expansion of J in J 7.392 * [backup-simplify]: Simplify 0 into 0 7.392 * [backup-simplify]: Simplify 1 into 1 7.392 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 7.392 * [backup-simplify]: Simplify (* 1 1) into 1 7.392 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 7.392 * [backup-simplify]: Simplify (+ 0) into 0 7.393 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 7.393 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 7.393 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.394 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 7.394 * [backup-simplify]: Simplify (- 0) into 0 7.394 * [backup-simplify]: Simplify (+ 0 0) into 0 7.394 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 7.395 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.395 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 7.396 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 7.396 * [taylor]: Taking taylor expansion of 0 in K 7.396 * [backup-simplify]: Simplify 0 into 0 7.396 * [backup-simplify]: Simplify 0 into 0 7.396 * [taylor]: Taking taylor expansion of 0 in K 7.396 * [backup-simplify]: Simplify 0 into 0 7.396 * [backup-simplify]: Simplify 0 into 0 7.396 * [taylor]: Taking taylor expansion of 0 in K 7.396 * [backup-simplify]: Simplify 0 into 0 7.396 * [backup-simplify]: Simplify 0 into 0 7.396 * [backup-simplify]: Simplify 0 into 0 7.396 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 7.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.398 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.398 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.398 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.399 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 7.400 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 7.400 * [backup-simplify]: Simplify (- 0) into 0 7.400 * [backup-simplify]: Simplify (+ 0 0) into 0 7.401 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 7.401 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.402 * [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 7.403 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 7.403 * [backup-simplify]: Simplify (+ 0 0) into 0 7.403 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 7.404 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.405 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.405 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.407 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 7.407 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 7.408 * [backup-simplify]: Simplify (- 0) into 0 7.408 * [backup-simplify]: Simplify (+ 0 0) into 0 7.408 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 7.409 * [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 7.410 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 7.411 * [taylor]: Taking taylor expansion of 0 in J 7.411 * [backup-simplify]: Simplify 0 into 0 7.412 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.413 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.413 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.414 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.414 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.415 * [backup-simplify]: Simplify (- 0) into 0 7.415 * [backup-simplify]: Simplify (+ 0 0) into 0 7.416 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 7.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.418 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.419 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0 7.419 * [taylor]: Taking taylor expansion of 0 in K 7.419 * [backup-simplify]: Simplify 0 into 0 7.419 * [backup-simplify]: Simplify 0 into 0 7.419 * [taylor]: Taking taylor expansion of 0 in K 7.419 * [backup-simplify]: Simplify 0 into 0 7.419 * [backup-simplify]: Simplify 0 into 0 7.419 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U) 7.420 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 7.420 * [backup-simplify]: Simplify (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 7.420 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in (U J K) around 0 7.420 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 7.420 * [taylor]: Taking taylor expansion of 1/4 in K 7.420 * [backup-simplify]: Simplify 1/4 into 1/4 7.420 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 7.420 * [taylor]: Taking taylor expansion of (pow U 2) in K 7.420 * [taylor]: Taking taylor expansion of U in K 7.420 * [backup-simplify]: Simplify U into U 7.420 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 7.420 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 7.420 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 7.420 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 7.420 * [taylor]: Taking taylor expansion of 1/2 in K 7.420 * [backup-simplify]: Simplify 1/2 into 1/2 7.420 * [taylor]: Taking taylor expansion of K in K 7.420 * [backup-simplify]: Simplify 0 into 0 7.421 * [backup-simplify]: Simplify 1 into 1 7.421 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.422 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.422 * [taylor]: Taking taylor expansion of (pow J 2) in K 7.422 * [taylor]: Taking taylor expansion of J in K 7.422 * [backup-simplify]: Simplify J into J 7.422 * [backup-simplify]: Simplify (* U U) into (pow U 2) 7.422 * [backup-simplify]: Simplify (* 1 1) into 1 7.422 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.423 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 7.423 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 7.423 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 7.423 * [taylor]: Taking taylor expansion of 1/4 in J 7.423 * [backup-simplify]: Simplify 1/4 into 1/4 7.423 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 7.423 * [taylor]: Taking taylor expansion of (pow U 2) in J 7.423 * [taylor]: Taking taylor expansion of U in J 7.423 * [backup-simplify]: Simplify U into U 7.423 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 7.423 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 7.423 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 7.423 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 7.423 * [taylor]: Taking taylor expansion of 1/2 in J 7.423 * [backup-simplify]: Simplify 1/2 into 1/2 7.423 * [taylor]: Taking taylor expansion of K in J 7.423 * [backup-simplify]: Simplify K into K 7.423 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 7.423 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 7.423 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 7.423 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 7.423 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 7.424 * [backup-simplify]: Simplify (- 0) into 0 7.424 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 7.424 * [taylor]: Taking taylor expansion of (pow J 2) in J 7.424 * [taylor]: Taking taylor expansion of J in J 7.424 * [backup-simplify]: Simplify 0 into 0 7.424 * [backup-simplify]: Simplify 1 into 1 7.424 * [backup-simplify]: Simplify (* U U) into (pow U 2) 7.424 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 7.425 * [backup-simplify]: Simplify (* 1 1) into 1 7.425 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 7.425 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 7.425 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 7.425 * [taylor]: Taking taylor expansion of 1/4 in U 7.425 * [backup-simplify]: Simplify 1/4 into 1/4 7.425 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 7.425 * [taylor]: Taking taylor expansion of (pow U 2) in U 7.425 * [taylor]: Taking taylor expansion of U in U 7.425 * [backup-simplify]: Simplify 0 into 0 7.425 * [backup-simplify]: Simplify 1 into 1 7.425 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 7.425 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 7.425 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 7.425 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 7.425 * [taylor]: Taking taylor expansion of 1/2 in U 7.425 * [backup-simplify]: Simplify 1/2 into 1/2 7.425 * [taylor]: Taking taylor expansion of K in U 7.425 * [backup-simplify]: Simplify K into K 7.425 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 7.425 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 7.426 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 7.426 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 7.426 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 7.426 * [backup-simplify]: Simplify (- 0) into 0 7.426 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 7.426 * [taylor]: Taking taylor expansion of (pow J 2) in U 7.426 * [taylor]: Taking taylor expansion of J in U 7.426 * [backup-simplify]: Simplify J into J 7.427 * [backup-simplify]: Simplify (* 1 1) into 1 7.427 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 7.427 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.427 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 7.427 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 7.427 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 7.427 * [taylor]: Taking taylor expansion of 1/4 in U 7.427 * [backup-simplify]: Simplify 1/4 into 1/4 7.427 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 7.427 * [taylor]: Taking taylor expansion of (pow U 2) in U 7.427 * [taylor]: Taking taylor expansion of U in U 7.427 * [backup-simplify]: Simplify 0 into 0 7.428 * [backup-simplify]: Simplify 1 into 1 7.428 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 7.428 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 7.428 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 7.428 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 7.428 * [taylor]: Taking taylor expansion of 1/2 in U 7.428 * [backup-simplify]: Simplify 1/2 into 1/2 7.428 * [taylor]: Taking taylor expansion of K in U 7.428 * [backup-simplify]: Simplify K into K 7.428 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 7.428 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 7.428 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 7.428 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 7.428 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 7.429 * [backup-simplify]: Simplify (- 0) into 0 7.429 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 7.429 * [taylor]: Taking taylor expansion of (pow J 2) in U 7.429 * [taylor]: Taking taylor expansion of J in U 7.429 * [backup-simplify]: Simplify J into J 7.429 * [backup-simplify]: Simplify (* 1 1) into 1 7.429 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 7.429 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.429 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 7.430 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 7.430 * [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))) 7.430 * [taylor]: Taking taylor expansion of (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 7.430 * [taylor]: Taking taylor expansion of 1/4 in J 7.430 * [backup-simplify]: Simplify 1/4 into 1/4 7.430 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 7.430 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 7.430 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 7.430 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 7.430 * [taylor]: Taking taylor expansion of 1/2 in J 7.430 * [backup-simplify]: Simplify 1/2 into 1/2 7.430 * [taylor]: Taking taylor expansion of K in J 7.430 * [backup-simplify]: Simplify K into K 7.430 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 7.430 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 7.430 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 7.431 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 7.431 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 7.431 * [backup-simplify]: Simplify (- 0) into 0 7.431 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 7.431 * [taylor]: Taking taylor expansion of (pow J 2) in J 7.431 * [taylor]: Taking taylor expansion of J in J 7.431 * [backup-simplify]: Simplify 0 into 0 7.431 * [backup-simplify]: Simplify 1 into 1 7.431 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 7.432 * [backup-simplify]: Simplify (* 1 1) into 1 7.432 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 7.432 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (* 1/2 K)) 2)) into (/ 1/4 (pow (cos (* 1/2 K)) 2)) 7.432 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (* 1/2 K)) 2)) in K 7.432 * [taylor]: Taking taylor expansion of 1/4 in K 7.432 * [backup-simplify]: Simplify 1/4 into 1/4 7.432 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 7.432 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 7.432 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 7.432 * [taylor]: Taking taylor expansion of 1/2 in K 7.432 * [backup-simplify]: Simplify 1/2 into 1/2 7.432 * [taylor]: Taking taylor expansion of K in K 7.432 * [backup-simplify]: Simplify 0 into 0 7.432 * [backup-simplify]: Simplify 1 into 1 7.433 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.434 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.434 * [backup-simplify]: Simplify (* 1 1) into 1 7.434 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 7.434 * [backup-simplify]: Simplify 1/4 into 1/4 7.435 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.435 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 7.436 * [backup-simplify]: Simplify (+ 0) into 0 7.436 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 7.437 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 7.437 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.438 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 7.438 * [backup-simplify]: Simplify (- 0) into 0 7.438 * [backup-simplify]: Simplify (+ 0 0) into 0 7.439 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 7.439 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 7.439 * [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 7.440 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 7.440 * [taylor]: Taking taylor expansion of 0 in J 7.440 * [backup-simplify]: Simplify 0 into 0 7.441 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.441 * [backup-simplify]: Simplify (+ 0) into 0 7.442 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 7.442 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 7.443 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.443 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 7.444 * [backup-simplify]: Simplify (- 0) into 0 7.444 * [backup-simplify]: Simplify (+ 0 0) into 0 7.444 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 7.445 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 7.445 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 7.445 * [taylor]: Taking taylor expansion of 0 in K 7.445 * [backup-simplify]: Simplify 0 into 0 7.445 * [backup-simplify]: Simplify 0 into 0 7.446 * [backup-simplify]: Simplify (+ 0) into 0 7.446 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.447 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 7.447 * [backup-simplify]: Simplify 0 into 0 7.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.449 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 7.450 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.450 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.451 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 7.452 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.453 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.453 * [backup-simplify]: Simplify (- 0) into 0 7.454 * [backup-simplify]: Simplify (+ 0 0) into 0 7.454 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 7.455 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0 7.455 * [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 7.456 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 7.456 * [taylor]: Taking taylor expansion of 0 in J 7.456 * [backup-simplify]: Simplify 0 into 0 7.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.458 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.459 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.460 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 7.460 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.461 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.461 * [backup-simplify]: Simplify (- 0) into 0 7.461 * [backup-simplify]: Simplify (+ 0 0) into 0 7.462 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 7.462 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 7.462 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 7.462 * [taylor]: Taking taylor expansion of 0 in K 7.462 * [backup-simplify]: Simplify 0 into 0 7.462 * [backup-simplify]: Simplify 0 into 0 7.462 * [backup-simplify]: Simplify 0 into 0 7.463 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 7.464 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (* -1/8 1))) into -1/4 7.468 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ -1/4 1)) (* 0 (/ 0 1)))) into 1/16 7.468 * [backup-simplify]: Simplify 1/16 into 1/16 7.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.470 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 7.470 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.471 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.471 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 7.472 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 7.473 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 7.473 * [backup-simplify]: Simplify (- 0) into 0 7.473 * [backup-simplify]: Simplify (+ 0 0) into 0 7.474 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0 7.474 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2))))) into 0 7.475 * [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 7.476 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) into 0 7.476 * [taylor]: Taking taylor expansion of 0 in J 7.476 * [backup-simplify]: Simplify 0 into 0 7.476 * [taylor]: Taking taylor expansion of 0 in K 7.476 * [backup-simplify]: Simplify 0 into 0 7.476 * [backup-simplify]: Simplify 0 into 0 7.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.477 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.478 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.478 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 7.479 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 7.480 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 7.480 * [backup-simplify]: Simplify (- 0) into 0 7.480 * [backup-simplify]: Simplify (+ 0 0) into 0 7.481 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0 7.481 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.482 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/4 (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 7.482 * [taylor]: Taking taylor expansion of 0 in K 7.482 * [backup-simplify]: Simplify 0 into 0 7.482 * [backup-simplify]: Simplify 0 into 0 7.482 * [backup-simplify]: Simplify 0 into 0 7.482 * [backup-simplify]: Simplify 0 into 0 7.482 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 7.483 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/8) (+ (* -1/8 0) (* 0 1)))) into 0 7.485 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ -1/4 1)) (* 1/16 (/ 0 1)))) into 0 7.485 * [backup-simplify]: Simplify 0 into 0 7.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.486 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 J))))) into 0 7.488 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 7.488 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.489 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0 7.490 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 7.491 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 7.491 * [backup-simplify]: Simplify (- 0) into 0 7.491 * [backup-simplify]: Simplify (+ 0 0) into 0 7.492 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))))) into 0 7.493 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2)))))) into 0 7.493 * [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 7.494 * [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 7.494 * [taylor]: Taking taylor expansion of 0 in J 7.494 * [backup-simplify]: Simplify 0 into 0 7.495 * [taylor]: Taking taylor expansion of 0 in K 7.495 * [backup-simplify]: Simplify 0 into 0 7.495 * [backup-simplify]: Simplify 0 into 0 7.495 * [backup-simplify]: Simplify (+ (* 1/16 (pow (* K (* (/ 1 J) U)) 2)) (* 1/4 (pow (* 1 (* (/ 1 J) U)) 2))) into (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))) 7.495 * [backup-simplify]: Simplify (* (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 7.495 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in (U J K) around 0 7.495 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 7.495 * [taylor]: Taking taylor expansion of 1/4 in K 7.495 * [backup-simplify]: Simplify 1/4 into 1/4 7.495 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 7.495 * [taylor]: Taking taylor expansion of (pow J 2) in K 7.495 * [taylor]: Taking taylor expansion of J in K 7.495 * [backup-simplify]: Simplify J into J 7.495 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 7.495 * [taylor]: Taking taylor expansion of (pow U 2) in K 7.495 * [taylor]: Taking taylor expansion of U in K 7.495 * [backup-simplify]: Simplify U into U 7.495 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 7.495 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 7.495 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 7.495 * [taylor]: Taking taylor expansion of 1/2 in K 7.495 * [backup-simplify]: Simplify 1/2 into 1/2 7.495 * [taylor]: Taking taylor expansion of K in K 7.495 * [backup-simplify]: Simplify 0 into 0 7.495 * [backup-simplify]: Simplify 1 into 1 7.496 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.496 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.496 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.496 * [backup-simplify]: Simplify (* U U) into (pow U 2) 7.496 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 7.496 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 7.497 * [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))) 7.497 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 7.497 * [taylor]: Taking taylor expansion of 1/4 in J 7.497 * [backup-simplify]: Simplify 1/4 into 1/4 7.497 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 7.497 * [taylor]: Taking taylor expansion of (pow J 2) in J 7.497 * [taylor]: Taking taylor expansion of J in J 7.497 * [backup-simplify]: Simplify 0 into 0 7.497 * [backup-simplify]: Simplify 1 into 1 7.497 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 7.497 * [taylor]: Taking taylor expansion of (pow U 2) in J 7.497 * [taylor]: Taking taylor expansion of U in J 7.497 * [backup-simplify]: Simplify U into U 7.497 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 7.497 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 7.497 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 7.497 * [taylor]: Taking taylor expansion of 1/2 in J 7.497 * [backup-simplify]: Simplify 1/2 into 1/2 7.497 * [taylor]: Taking taylor expansion of K in J 7.497 * [backup-simplify]: Simplify K into K 7.497 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.497 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.497 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.497 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.497 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.498 * [backup-simplify]: Simplify (- 0) into 0 7.498 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.498 * [backup-simplify]: Simplify (* 1 1) into 1 7.498 * [backup-simplify]: Simplify (* U U) into (pow U 2) 7.499 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 7.499 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 7.499 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 7.499 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 7.499 * [taylor]: Taking taylor expansion of 1/4 in U 7.499 * [backup-simplify]: Simplify 1/4 into 1/4 7.499 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 7.499 * [taylor]: Taking taylor expansion of (pow J 2) in U 7.499 * [taylor]: Taking taylor expansion of J in U 7.499 * [backup-simplify]: Simplify J into J 7.499 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 7.499 * [taylor]: Taking taylor expansion of (pow U 2) in U 7.499 * [taylor]: Taking taylor expansion of U in U 7.499 * [backup-simplify]: Simplify 0 into 0 7.499 * [backup-simplify]: Simplify 1 into 1 7.499 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 7.499 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 7.499 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 7.499 * [taylor]: Taking taylor expansion of 1/2 in U 7.499 * [backup-simplify]: Simplify 1/2 into 1/2 7.499 * [taylor]: Taking taylor expansion of K in U 7.499 * [backup-simplify]: Simplify K into K 7.499 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.499 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.500 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.500 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.500 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.500 * [backup-simplify]: Simplify (- 0) into 0 7.500 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.500 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.501 * [backup-simplify]: Simplify (* 1 1) into 1 7.501 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 7.501 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 7.501 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 7.501 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 7.501 * [taylor]: Taking taylor expansion of 1/4 in U 7.501 * [backup-simplify]: Simplify 1/4 into 1/4 7.501 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 7.501 * [taylor]: Taking taylor expansion of (pow J 2) in U 7.501 * [taylor]: Taking taylor expansion of J in U 7.501 * [backup-simplify]: Simplify J into J 7.501 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 7.501 * [taylor]: Taking taylor expansion of (pow U 2) in U 7.501 * [taylor]: Taking taylor expansion of U in U 7.501 * [backup-simplify]: Simplify 0 into 0 7.501 * [backup-simplify]: Simplify 1 into 1 7.501 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 7.501 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 7.501 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 7.501 * [taylor]: Taking taylor expansion of 1/2 in U 7.501 * [backup-simplify]: Simplify 1/2 into 1/2 7.501 * [taylor]: Taking taylor expansion of K in U 7.502 * [backup-simplify]: Simplify K into K 7.502 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.502 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.502 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.502 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.502 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.502 * [backup-simplify]: Simplify (- 0) into 0 7.502 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.502 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.503 * [backup-simplify]: Simplify (* 1 1) into 1 7.503 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 7.503 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 7.503 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 7.503 * [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))) 7.503 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 7.504 * [taylor]: Taking taylor expansion of 1/4 in J 7.504 * [backup-simplify]: Simplify 1/4 into 1/4 7.504 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 7.504 * [taylor]: Taking taylor expansion of (pow J 2) in J 7.504 * [taylor]: Taking taylor expansion of J in J 7.504 * [backup-simplify]: Simplify 0 into 0 7.504 * [backup-simplify]: Simplify 1 into 1 7.504 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 7.504 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 7.504 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 7.504 * [taylor]: Taking taylor expansion of 1/2 in J 7.504 * [backup-simplify]: Simplify 1/2 into 1/2 7.504 * [taylor]: Taking taylor expansion of K in J 7.504 * [backup-simplify]: Simplify K into K 7.504 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.504 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.504 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.504 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.504 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.505 * [backup-simplify]: Simplify (- 0) into 0 7.505 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.505 * [backup-simplify]: Simplify (* 1 1) into 1 7.505 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 7.505 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 7.506 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 7.506 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ 1/2 K)) 2)) in K 7.506 * [taylor]: Taking taylor expansion of 1/4 in K 7.506 * [backup-simplify]: Simplify 1/4 into 1/4 7.506 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 7.506 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 7.506 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 7.506 * [taylor]: Taking taylor expansion of 1/2 in K 7.506 * [backup-simplify]: Simplify 1/2 into 1/2 7.506 * [taylor]: Taking taylor expansion of K in K 7.506 * [backup-simplify]: Simplify 0 into 0 7.506 * [backup-simplify]: Simplify 1 into 1 7.506 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.506 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.506 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 7.507 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 7.507 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 7.507 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 7.507 * [backup-simplify]: Simplify (+ 0) into 0 7.508 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 7.508 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 7.509 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.509 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 7.510 * [backup-simplify]: Simplify (- 0) into 0 7.510 * [backup-simplify]: Simplify (+ 0 0) into 0 7.510 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 7.511 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.511 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 7.512 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 7.512 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 7.512 * [taylor]: Taking taylor expansion of 0 in J 7.512 * [backup-simplify]: Simplify 0 into 0 7.512 * [taylor]: Taking taylor expansion of 0 in K 7.512 * [backup-simplify]: Simplify 0 into 0 7.512 * [backup-simplify]: Simplify 0 into 0 7.513 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.514 * [backup-simplify]: Simplify (+ 0) into 0 7.514 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 7.514 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 7.515 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.516 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 7.516 * [backup-simplify]: Simplify (- 0) into 0 7.516 * [backup-simplify]: Simplify (+ 0 0) into 0 7.517 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 7.517 * [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 7.517 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 7.517 * [taylor]: Taking taylor expansion of 0 in K 7.517 * [backup-simplify]: Simplify 0 into 0 7.518 * [backup-simplify]: Simplify 0 into 0 7.518 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 7.518 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 7.518 * [backup-simplify]: Simplify 0 into 0 7.519 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 7.519 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.520 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.520 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.521 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.522 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.522 * [backup-simplify]: Simplify (- 0) into 0 7.522 * [backup-simplify]: Simplify (+ 0 0) into 0 7.523 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 7.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 7.525 * [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 7.525 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 7.525 * [taylor]: Taking taylor expansion of 0 in J 7.525 * [backup-simplify]: Simplify 0 into 0 7.525 * [taylor]: Taking taylor expansion of 0 in K 7.525 * [backup-simplify]: Simplify 0 into 0 7.525 * [backup-simplify]: Simplify 0 into 0 7.525 * [taylor]: Taking taylor expansion of 0 in K 7.525 * [backup-simplify]: Simplify 0 into 0 7.525 * [backup-simplify]: Simplify 0 into 0 7.526 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.526 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.527 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.527 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.527 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.528 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.528 * [backup-simplify]: Simplify (- 0) into 0 7.528 * [backup-simplify]: Simplify (+ 0 0) into 0 7.529 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 7.529 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 7.529 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 7.529 * [taylor]: Taking taylor expansion of 0 in K 7.529 * [backup-simplify]: Simplify 0 into 0 7.529 * [backup-simplify]: Simplify 0 into 0 7.530 * [backup-simplify]: Simplify (* (/ 1/4 (pow (cos (/ 1/2 (/ 1 K))) 2)) (pow (* 1 (* (/ 1 J) (/ 1 (/ 1 U)))) 2)) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 7.530 * [backup-simplify]: Simplify (* (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 7.530 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in (U J K) around 0 7.530 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 7.530 * [taylor]: Taking taylor expansion of 1/4 in K 7.530 * [backup-simplify]: Simplify 1/4 into 1/4 7.530 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 7.530 * [taylor]: Taking taylor expansion of (pow J 2) in K 7.530 * [taylor]: Taking taylor expansion of J in K 7.530 * [backup-simplify]: Simplify J into J 7.530 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 7.530 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 7.530 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 7.530 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 7.530 * [taylor]: Taking taylor expansion of -1/2 in K 7.530 * [backup-simplify]: Simplify -1/2 into -1/2 7.530 * [taylor]: Taking taylor expansion of K in K 7.530 * [backup-simplify]: Simplify 0 into 0 7.530 * [backup-simplify]: Simplify 1 into 1 7.531 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.531 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.531 * [taylor]: Taking taylor expansion of (pow U 2) in K 7.531 * [taylor]: Taking taylor expansion of U in K 7.531 * [backup-simplify]: Simplify U into U 7.531 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.531 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 7.531 * [backup-simplify]: Simplify (* U U) into (pow U 2) 7.531 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 7.531 * [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))) 7.531 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 7.531 * [taylor]: Taking taylor expansion of 1/4 in J 7.531 * [backup-simplify]: Simplify 1/4 into 1/4 7.531 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 7.531 * [taylor]: Taking taylor expansion of (pow J 2) in J 7.531 * [taylor]: Taking taylor expansion of J in J 7.531 * [backup-simplify]: Simplify 0 into 0 7.531 * [backup-simplify]: Simplify 1 into 1 7.531 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 7.531 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 7.531 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 7.531 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 7.531 * [taylor]: Taking taylor expansion of -1/2 in J 7.531 * [backup-simplify]: Simplify -1/2 into -1/2 7.531 * [taylor]: Taking taylor expansion of K in J 7.531 * [backup-simplify]: Simplify K into K 7.531 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.531 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.531 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.531 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.531 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.532 * [backup-simplify]: Simplify (- 0) into 0 7.532 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.532 * [taylor]: Taking taylor expansion of (pow U 2) in J 7.532 * [taylor]: Taking taylor expansion of U in J 7.532 * [backup-simplify]: Simplify U into U 7.532 * [backup-simplify]: Simplify (* 1 1) into 1 7.532 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 7.532 * [backup-simplify]: Simplify (* U U) into (pow U 2) 7.532 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 7.532 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 7.532 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 7.533 * [taylor]: Taking taylor expansion of 1/4 in U 7.533 * [backup-simplify]: Simplify 1/4 into 1/4 7.533 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 7.533 * [taylor]: Taking taylor expansion of (pow J 2) in U 7.533 * [taylor]: Taking taylor expansion of J in U 7.533 * [backup-simplify]: Simplify J into J 7.533 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 7.533 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 7.533 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 7.533 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 7.533 * [taylor]: Taking taylor expansion of -1/2 in U 7.533 * [backup-simplify]: Simplify -1/2 into -1/2 7.533 * [taylor]: Taking taylor expansion of K in U 7.533 * [backup-simplify]: Simplify K into K 7.533 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.533 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.533 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.533 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.533 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.533 * [backup-simplify]: Simplify (- 0) into 0 7.533 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.533 * [taylor]: Taking taylor expansion of (pow U 2) in U 7.533 * [taylor]: Taking taylor expansion of U in U 7.533 * [backup-simplify]: Simplify 0 into 0 7.533 * [backup-simplify]: Simplify 1 into 1 7.533 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.533 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 7.534 * [backup-simplify]: Simplify (* 1 1) into 1 7.534 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 7.534 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 7.534 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 7.534 * [taylor]: Taking taylor expansion of 1/4 in U 7.534 * [backup-simplify]: Simplify 1/4 into 1/4 7.534 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 7.534 * [taylor]: Taking taylor expansion of (pow J 2) in U 7.534 * [taylor]: Taking taylor expansion of J in U 7.534 * [backup-simplify]: Simplify J into J 7.534 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 7.534 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 7.534 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 7.534 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 7.534 * [taylor]: Taking taylor expansion of -1/2 in U 7.534 * [backup-simplify]: Simplify -1/2 into -1/2 7.534 * [taylor]: Taking taylor expansion of K in U 7.534 * [backup-simplify]: Simplify K into K 7.534 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.534 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.534 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.534 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.534 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.535 * [backup-simplify]: Simplify (- 0) into 0 7.535 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.535 * [taylor]: Taking taylor expansion of (pow U 2) in U 7.535 * [taylor]: Taking taylor expansion of U in U 7.535 * [backup-simplify]: Simplify 0 into 0 7.535 * [backup-simplify]: Simplify 1 into 1 7.535 * [backup-simplify]: Simplify (* J J) into (pow J 2) 7.535 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 7.535 * [backup-simplify]: Simplify (* 1 1) into 1 7.535 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 7.535 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 7.535 * [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))) 7.535 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 7.535 * [taylor]: Taking taylor expansion of 1/4 in J 7.535 * [backup-simplify]: Simplify 1/4 into 1/4 7.535 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 7.536 * [taylor]: Taking taylor expansion of (pow J 2) in J 7.536 * [taylor]: Taking taylor expansion of J in J 7.536 * [backup-simplify]: Simplify 0 into 0 7.536 * [backup-simplify]: Simplify 1 into 1 7.536 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 7.536 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 7.536 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 7.536 * [taylor]: Taking taylor expansion of -1/2 in J 7.536 * [backup-simplify]: Simplify -1/2 into -1/2 7.536 * [taylor]: Taking taylor expansion of K in J 7.536 * [backup-simplify]: Simplify K into K 7.536 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.536 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.536 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.536 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.536 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.536 * [backup-simplify]: Simplify (- 0) into 0 7.536 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.536 * [backup-simplify]: Simplify (* 1 1) into 1 7.537 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 7.537 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 7.537 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 7.537 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ -1/2 K)) 2)) in K 7.537 * [taylor]: Taking taylor expansion of 1/4 in K 7.537 * [backup-simplify]: Simplify 1/4 into 1/4 7.537 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 7.537 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 7.537 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 7.537 * [taylor]: Taking taylor expansion of -1/2 in K 7.537 * [backup-simplify]: Simplify -1/2 into -1/2 7.537 * [taylor]: Taking taylor expansion of K in K 7.537 * [backup-simplify]: Simplify 0 into 0 7.537 * [backup-simplify]: Simplify 1 into 1 7.537 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.537 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.537 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 7.537 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 7.537 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 7.538 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 7.538 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.538 * [backup-simplify]: Simplify (+ 0) into 0 7.539 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 7.539 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 7.539 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.539 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 7.540 * [backup-simplify]: Simplify (- 0) into 0 7.540 * [backup-simplify]: Simplify (+ 0 0) into 0 7.540 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 7.540 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 7.541 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 7.541 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 7.541 * [taylor]: Taking taylor expansion of 0 in J 7.541 * [backup-simplify]: Simplify 0 into 0 7.541 * [taylor]: Taking taylor expansion of 0 in K 7.541 * [backup-simplify]: Simplify 0 into 0 7.541 * [backup-simplify]: Simplify 0 into 0 7.542 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.542 * [backup-simplify]: Simplify (+ 0) into 0 7.542 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 7.542 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 7.543 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.543 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 7.544 * [backup-simplify]: Simplify (- 0) into 0 7.544 * [backup-simplify]: Simplify (+ 0 0) into 0 7.544 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 7.544 * [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 7.544 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 7.545 * [taylor]: Taking taylor expansion of 0 in K 7.545 * [backup-simplify]: Simplify 0 into 0 7.545 * [backup-simplify]: Simplify 0 into 0 7.545 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 7.545 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 7.545 * [backup-simplify]: Simplify 0 into 0 7.545 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 7.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.546 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.547 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.547 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.547 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.548 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.548 * [backup-simplify]: Simplify (- 0) into 0 7.548 * [backup-simplify]: Simplify (+ 0 0) into 0 7.549 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 7.549 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 7.549 * [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 7.550 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 7.550 * [taylor]: Taking taylor expansion of 0 in J 7.550 * [backup-simplify]: Simplify 0 into 0 7.550 * [taylor]: Taking taylor expansion of 0 in K 7.550 * [backup-simplify]: Simplify 0 into 0 7.550 * [backup-simplify]: Simplify 0 into 0 7.550 * [taylor]: Taking taylor expansion of 0 in K 7.550 * [backup-simplify]: Simplify 0 into 0 7.550 * [backup-simplify]: Simplify 0 into 0 7.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.551 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.552 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.552 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.553 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.553 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.554 * [backup-simplify]: Simplify (- 0) into 0 7.554 * [backup-simplify]: Simplify (+ 0 0) into 0 7.554 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 7.555 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 7.556 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 7.556 * [taylor]: Taking taylor expansion of 0 in K 7.556 * [backup-simplify]: Simplify 0 into 0 7.556 * [backup-simplify]: Simplify 0 into 0 7.556 * [backup-simplify]: Simplify (* (/ 1/4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)) (pow (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U))))) 2)) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 7.556 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 2 2) 7.557 * [backup-simplify]: Simplify (* (* J 2) (cos (/ K 2))) into (* 2 (* (cos (* 1/2 K)) J)) 7.557 * [approximate]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in (J K) around 0 7.557 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in K 7.557 * [taylor]: Taking taylor expansion of 2 in K 7.557 * [backup-simplify]: Simplify 2 into 2 7.557 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 7.557 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 7.557 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 7.557 * [taylor]: Taking taylor expansion of 1/2 in K 7.557 * [backup-simplify]: Simplify 1/2 into 1/2 7.557 * [taylor]: Taking taylor expansion of K in K 7.557 * [backup-simplify]: Simplify 0 into 0 7.557 * [backup-simplify]: Simplify 1 into 1 7.557 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.558 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.558 * [taylor]: Taking taylor expansion of J in K 7.558 * [backup-simplify]: Simplify J into J 7.558 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in J 7.558 * [taylor]: Taking taylor expansion of 2 in J 7.558 * [backup-simplify]: Simplify 2 into 2 7.558 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 7.558 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 7.558 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 7.558 * [taylor]: Taking taylor expansion of 1/2 in J 7.558 * [backup-simplify]: Simplify 1/2 into 1/2 7.558 * [taylor]: Taking taylor expansion of K in J 7.558 * [backup-simplify]: Simplify K into K 7.558 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 7.559 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 7.559 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 7.559 * [taylor]: Taking taylor expansion of J in J 7.559 * [backup-simplify]: Simplify 0 into 0 7.559 * [backup-simplify]: Simplify 1 into 1 7.559 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in J 7.559 * [taylor]: Taking taylor expansion of 2 in J 7.559 * [backup-simplify]: Simplify 2 into 2 7.559 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 7.559 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 7.559 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 7.559 * [taylor]: Taking taylor expansion of 1/2 in J 7.559 * [backup-simplify]: Simplify 1/2 into 1/2 7.559 * [taylor]: Taking taylor expansion of K in J 7.559 * [backup-simplify]: Simplify K into K 7.559 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 7.559 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 7.559 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 7.559 * [taylor]: Taking taylor expansion of J in J 7.559 * [backup-simplify]: Simplify 0 into 0 7.559 * [backup-simplify]: Simplify 1 into 1 7.559 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 7.559 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 7.560 * [backup-simplify]: Simplify (- 0) into 0 7.560 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 7.560 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 7.561 * [backup-simplify]: Simplify (* 2 0) into 0 7.561 * [taylor]: Taking taylor expansion of 0 in K 7.561 * [backup-simplify]: Simplify 0 into 0 7.561 * [backup-simplify]: Simplify 0 into 0 7.561 * [backup-simplify]: Simplify (+ 0) into 0 7.562 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 7.562 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 7.563 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.563 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 7.564 * [backup-simplify]: Simplify (- 0) into 0 7.564 * [backup-simplify]: Simplify (+ 0 0) into 0 7.565 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 7.565 * [backup-simplify]: Simplify (+ (* 2 (cos (* 1/2 K))) (* 0 0)) into (* 2 (cos (* 1/2 K))) 7.565 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K 7.565 * [taylor]: Taking taylor expansion of 2 in K 7.565 * [backup-simplify]: Simplify 2 into 2 7.565 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 7.565 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 7.565 * [taylor]: Taking taylor expansion of 1/2 in K 7.565 * [backup-simplify]: Simplify 1/2 into 1/2 7.565 * [taylor]: Taking taylor expansion of K in K 7.565 * [backup-simplify]: Simplify 0 into 0 7.565 * [backup-simplify]: Simplify 1 into 1 7.566 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.566 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.567 * [backup-simplify]: Simplify (* 2 1) into 2 7.567 * [backup-simplify]: Simplify 2 into 2 7.567 * [backup-simplify]: Simplify 0 into 0 7.568 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.569 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.570 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 7.570 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.571 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.571 * [backup-simplify]: Simplify (- 0) into 0 7.572 * [backup-simplify]: Simplify (+ 0 0) into 0 7.572 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 7.574 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0 7.574 * [taylor]: Taking taylor expansion of 0 in K 7.574 * [backup-simplify]: Simplify 0 into 0 7.574 * [backup-simplify]: Simplify 0 into 0 7.574 * [backup-simplify]: Simplify (+ 0) into 0 7.575 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.575 * [backup-simplify]: Simplify 0 into 0 7.575 * [backup-simplify]: Simplify 0 into 0 7.576 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.577 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.578 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 7.585 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 7.586 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 7.586 * [backup-simplify]: Simplify (- 0) into 0 7.587 * [backup-simplify]: Simplify (+ 0 0) into 0 7.588 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.589 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0)))) into 0 7.589 * [taylor]: Taking taylor expansion of 0 in K 7.589 * [backup-simplify]: Simplify 0 into 0 7.589 * [backup-simplify]: Simplify 0 into 0 7.589 * [backup-simplify]: Simplify 0 into 0 7.589 * [backup-simplify]: Simplify (* 2 (* 1 J)) into (* 2 J) 7.589 * [backup-simplify]: Simplify (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))) into (* 2 (/ (cos (/ 1/2 K)) J)) 7.589 * [approximate]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in (J K) around 0 7.589 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in K 7.589 * [taylor]: Taking taylor expansion of 2 in K 7.589 * [backup-simplify]: Simplify 2 into 2 7.589 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 7.589 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 7.589 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 7.589 * [taylor]: Taking taylor expansion of 1/2 in K 7.589 * [backup-simplify]: Simplify 1/2 into 1/2 7.589 * [taylor]: Taking taylor expansion of K in K 7.589 * [backup-simplify]: Simplify 0 into 0 7.589 * [backup-simplify]: Simplify 1 into 1 7.589 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.589 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.589 * [taylor]: Taking taylor expansion of J in K 7.589 * [backup-simplify]: Simplify J into J 7.590 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 7.590 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in J 7.590 * [taylor]: Taking taylor expansion of 2 in J 7.590 * [backup-simplify]: Simplify 2 into 2 7.590 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 7.590 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 7.590 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 7.590 * [taylor]: Taking taylor expansion of 1/2 in J 7.590 * [backup-simplify]: Simplify 1/2 into 1/2 7.590 * [taylor]: Taking taylor expansion of K in J 7.590 * [backup-simplify]: Simplify K into K 7.590 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.590 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.590 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.590 * [taylor]: Taking taylor expansion of J in J 7.590 * [backup-simplify]: Simplify 0 into 0 7.590 * [backup-simplify]: Simplify 1 into 1 7.590 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.590 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.590 * [backup-simplify]: Simplify (- 0) into 0 7.590 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.590 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.590 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in J 7.590 * [taylor]: Taking taylor expansion of 2 in J 7.590 * [backup-simplify]: Simplify 2 into 2 7.590 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 7.590 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 7.590 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 7.590 * [taylor]: Taking taylor expansion of 1/2 in J 7.590 * [backup-simplify]: Simplify 1/2 into 1/2 7.590 * [taylor]: Taking taylor expansion of K in J 7.591 * [backup-simplify]: Simplify K into K 7.591 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 7.591 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.591 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 7.591 * [taylor]: Taking taylor expansion of J in J 7.591 * [backup-simplify]: Simplify 0 into 0 7.591 * [backup-simplify]: Simplify 1 into 1 7.591 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.591 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 7.591 * [backup-simplify]: Simplify (- 0) into 0 7.591 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 7.591 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 7.591 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) 7.591 * [taylor]: Taking taylor expansion of (* 2 (cos (/ 1/2 K))) in K 7.591 * [taylor]: Taking taylor expansion of 2 in K 7.591 * [backup-simplify]: Simplify 2 into 2 7.591 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 7.591 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 7.591 * [taylor]: Taking taylor expansion of 1/2 in K 7.591 * [backup-simplify]: Simplify 1/2 into 1/2 7.591 * [taylor]: Taking taylor expansion of K in K 7.591 * [backup-simplify]: Simplify 0 into 0 7.591 * [backup-simplify]: Simplify 1 into 1 7.592 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.592 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 7.592 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) 7.592 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) 7.592 * [backup-simplify]: Simplify (+ 0) into 0 7.593 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 7.593 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 7.593 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.593 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 7.594 * [backup-simplify]: Simplify (- 0) into 0 7.594 * [backup-simplify]: Simplify (+ 0 0) into 0 7.594 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 7.595 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0 7.595 * [taylor]: Taking taylor expansion of 0 in K 7.595 * [backup-simplify]: Simplify 0 into 0 7.595 * [backup-simplify]: Simplify 0 into 0 7.595 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0 7.595 * [backup-simplify]: Simplify 0 into 0 7.596 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.596 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.596 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.597 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.597 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.597 * [backup-simplify]: Simplify (- 0) into 0 7.598 * [backup-simplify]: Simplify (+ 0 0) into 0 7.599 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.599 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 7.599 * [taylor]: Taking taylor expansion of 0 in K 7.599 * [backup-simplify]: Simplify 0 into 0 7.599 * [backup-simplify]: Simplify 0 into 0 7.599 * [backup-simplify]: Simplify 0 into 0 7.600 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 7.600 * [backup-simplify]: Simplify 0 into 0 7.600 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.601 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.601 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.602 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 7.602 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 7.603 * [backup-simplify]: Simplify (- 0) into 0 7.603 * [backup-simplify]: Simplify (+ 0 0) into 0 7.604 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.605 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 7.605 * [taylor]: Taking taylor expansion of 0 in K 7.605 * [backup-simplify]: Simplify 0 into 0 7.605 * [backup-simplify]: Simplify 0 into 0 7.605 * [backup-simplify]: Simplify (* (* 2 (cos (/ 1/2 (/ 1 K)))) (* 1 (/ 1 (/ 1 J)))) into (* 2 (* (cos (* 1/2 K)) J)) 7.605 * [backup-simplify]: Simplify (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))) into (* -2 (/ (cos (/ -1/2 K)) J)) 7.605 * [approximate]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in (J K) around 0 7.605 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in K 7.605 * [taylor]: Taking taylor expansion of -2 in K 7.605 * [backup-simplify]: Simplify -2 into -2 7.605 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 7.605 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 7.605 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 7.605 * [taylor]: Taking taylor expansion of -1/2 in K 7.605 * [backup-simplify]: Simplify -1/2 into -1/2 7.605 * [taylor]: Taking taylor expansion of K in K 7.605 * [backup-simplify]: Simplify 0 into 0 7.605 * [backup-simplify]: Simplify 1 into 1 7.606 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.606 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.606 * [taylor]: Taking taylor expansion of J in K 7.606 * [backup-simplify]: Simplify J into J 7.606 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 7.606 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in J 7.606 * [taylor]: Taking taylor expansion of -2 in J 7.606 * [backup-simplify]: Simplify -2 into -2 7.606 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 7.606 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 7.606 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 7.606 * [taylor]: Taking taylor expansion of -1/2 in J 7.606 * [backup-simplify]: Simplify -1/2 into -1/2 7.606 * [taylor]: Taking taylor expansion of K in J 7.606 * [backup-simplify]: Simplify K into K 7.606 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.606 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.606 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.606 * [taylor]: Taking taylor expansion of J in J 7.606 * [backup-simplify]: Simplify 0 into 0 7.606 * [backup-simplify]: Simplify 1 into 1 7.606 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.606 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.607 * [backup-simplify]: Simplify (- 0) into 0 7.607 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.607 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.607 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in J 7.607 * [taylor]: Taking taylor expansion of -2 in J 7.607 * [backup-simplify]: Simplify -2 into -2 7.607 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 7.607 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 7.607 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 7.607 * [taylor]: Taking taylor expansion of -1/2 in J 7.607 * [backup-simplify]: Simplify -1/2 into -1/2 7.607 * [taylor]: Taking taylor expansion of K in J 7.607 * [backup-simplify]: Simplify K into K 7.607 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 7.607 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.607 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 7.607 * [taylor]: Taking taylor expansion of J in J 7.607 * [backup-simplify]: Simplify 0 into 0 7.607 * [backup-simplify]: Simplify 1 into 1 7.607 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.607 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 7.607 * [backup-simplify]: Simplify (- 0) into 0 7.607 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 7.607 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 7.608 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) 7.608 * [taylor]: Taking taylor expansion of (* -2 (cos (/ -1/2 K))) in K 7.608 * [taylor]: Taking taylor expansion of -2 in K 7.608 * [backup-simplify]: Simplify -2 into -2 7.608 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 7.608 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 7.608 * [taylor]: Taking taylor expansion of -1/2 in K 7.608 * [backup-simplify]: Simplify -1/2 into -1/2 7.608 * [taylor]: Taking taylor expansion of K in K 7.608 * [backup-simplify]: Simplify 0 into 0 7.608 * [backup-simplify]: Simplify 1 into 1 7.608 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.608 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 7.608 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) 7.608 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) 7.608 * [backup-simplify]: Simplify (+ 0) into 0 7.609 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 7.609 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 7.609 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.610 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 7.610 * [backup-simplify]: Simplify (- 0) into 0 7.610 * [backup-simplify]: Simplify (+ 0 0) into 0 7.611 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 7.611 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0 7.611 * [taylor]: Taking taylor expansion of 0 in K 7.611 * [backup-simplify]: Simplify 0 into 0 7.611 * [backup-simplify]: Simplify 0 into 0 7.611 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0 7.611 * [backup-simplify]: Simplify 0 into 0 7.612 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.612 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 7.612 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.613 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.613 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 7.614 * [backup-simplify]: Simplify (- 0) into 0 7.614 * [backup-simplify]: Simplify (+ 0 0) into 0 7.615 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.615 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 7.615 * [taylor]: Taking taylor expansion of 0 in K 7.615 * [backup-simplify]: Simplify 0 into 0 7.615 * [backup-simplify]: Simplify 0 into 0 7.615 * [backup-simplify]: Simplify 0 into 0 7.616 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 7.616 * [backup-simplify]: Simplify 0 into 0 7.616 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.617 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.617 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 7.618 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 7.618 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 7.619 * [backup-simplify]: Simplify (- 0) into 0 7.619 * [backup-simplify]: Simplify (+ 0 0) into 0 7.620 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.622 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 7.622 * [taylor]: Taking taylor expansion of 0 in K 7.622 * [backup-simplify]: Simplify 0 into 0 7.622 * [backup-simplify]: Simplify 0 into 0 7.622 * [backup-simplify]: Simplify (* (* -2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (/ 1 (/ 1 (- J))))) into (* 2 (* (cos (* 1/2 K)) J)) 7.622 * * * [progress]: simplifying candidates 7.622 * * * * [progress]: [ 1 / 143 ] simplifiying candidate # 7.622 * * * * [progress]: [ 2 / 143 ] simplifiying candidate # 7.622 * * * * [progress]: [ 3 / 143 ] simplifiying candidate # 7.622 * * * * [progress]: [ 4 / 143 ] simplifiying candidate # 7.622 * * * * [progress]: [ 5 / 143 ] simplifiying candidate # 7.622 * * * * [progress]: [ 6 / 143 ] simplifiying candidate # 7.623 * * * * [progress]: [ 7 / 143 ] simplifiying candidate # 7.623 * * * * [progress]: [ 8 / 143 ] simplifiying candidate # 7.623 * * * * [progress]: [ 9 / 143 ] simplifiying candidate # 7.623 * * * * [progress]: [ 10 / 143 ] simplifiying candidate # 7.623 * * * * [progress]: [ 11 / 143 ] simplifiying candidate # 7.623 * * * * [progress]: [ 12 / 143 ] simplifiying candidate # 7.623 * * * * [progress]: [ 13 / 143 ] simplifiying candidate # 7.623 * * * * [progress]: [ 14 / 143 ] simplifiying candidate # 7.623 * * * * [progress]: [ 15 / 143 ] simplifiying candidate # 7.623 * * * * [progress]: [ 16 / 143 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cos (/ K 2))) (* -2 J)))> 7.623 * * * * [progress]: [ 17 / 143 ] simplifiying candidate # 7.624 * * * * [progress]: [ 18 / 143 ] simplifiying candidate # 7.624 * * * * [progress]: [ 19 / 143 ] simplifiying candidate # 7.624 * * * * [progress]: [ 20 / 143 ] simplifiying candidate # 7.624 * * * * [progress]: [ 21 / 143 ] simplifiying candidate # 7.624 * * * * [progress]: [ 22 / 143 ] simplifiying candidate # 7.624 * * * * [progress]: [ 23 / 143 ] simplifiying candidate # 7.624 * * * * [progress]: [ 24 / 143 ] simplifiying candidate # 7.624 * * * * [progress]: [ 25 / 143 ] simplifiying candidate # 7.624 * * * * [progress]: [ 26 / 143 ] simplifiying candidate # 7.624 * * * * [progress]: [ 27 / 143 ] simplifiying candidate # 7.624 * * * * [progress]: [ 28 / 143 ] simplifiying candidate # 7.624 * * * * [progress]: [ 29 / 143 ] simplifiying candidate # 7.624 * * * * [progress]: [ 30 / 143 ] simplifiying candidate # 7.624 * * * * [progress]: [ 31 / 143 ] simplifiying candidate # 7.625 * * * * [progress]: [ 32 / 143 ] simplifiying candidate # 7.625 * * * * [progress]: [ 33 / 143 ] simplifiying candidate # 7.625 * * * * [progress]: [ 34 / 143 ] simplifiying candidate # 7.625 * * * * [progress]: [ 35 / 143 ] simplifiying candidate # 7.625 * * * * [progress]: [ 36 / 143 ] simplifiying candidate # 7.625 * * * * [progress]: [ 37 / 143 ] simplifiying candidate # 7.625 * * * * [progress]: [ 38 / 143 ] simplifiying candidate # 7.625 * * * * [progress]: [ 39 / 143 ] simplifiying candidate # 7.625 * * * * [progress]: [ 40 / 143 ] simplifiying candidate #real (real->posit16 (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))))> 7.625 * * * * [progress]: [ 41 / 143 ] simplifiying candidate # 7.625 * * * * [progress]: [ 42 / 143 ] simplifiying candidate # 7.625 * * * * [progress]: [ 43 / 143 ] simplifiying candidate # 7.625 * * * * [progress]: [ 44 / 143 ] simplifiying candidate # 7.625 * * * * [progress]: [ 45 / 143 ] simplifiying candidate # 7.625 * * * * [progress]: [ 46 / 143 ] simplifiying candidate # 7.626 * * * * [progress]: [ 47 / 143 ] simplifiying candidate # 7.626 * * * * [progress]: [ 48 / 143 ] simplifiying candidate # 7.626 * * * * [progress]: [ 49 / 143 ] simplifiying candidate # 7.626 * * * * [progress]: [ 50 / 143 ] simplifiying candidate # 7.626 * * * * [progress]: [ 51 / 143 ] simplifiying candidate # 7.626 * * * * [progress]: [ 52 / 143 ] simplifiying candidate # 7.626 * * * * [progress]: [ 53 / 143 ] simplifiying candidate # 7.626 * * * * [progress]: [ 54 / 143 ] simplifiying candidate # 7.626 * * * * [progress]: [ 55 / 143 ] simplifiying candidate # 7.626 * * * * [progress]: [ 56 / 143 ] simplifiying candidate # 7.626 * * * * [progress]: [ 57 / 143 ] simplifiying candidate # 7.626 * * * * [progress]: [ 58 / 143 ] simplifiying candidate # 7.626 * * * * [progress]: [ 59 / 143 ] simplifiying candidate # 7.626 * * * * [progress]: [ 60 / 143 ] simplifiying candidate # 7.627 * * * * [progress]: [ 61 / 143 ] simplifiying candidate # 7.627 * * * * [progress]: [ 62 / 143 ] simplifiying candidate # 7.627 * * * * [progress]: [ 63 / 143 ] simplifiying candidate # 7.627 * * * * [progress]: [ 64 / 143 ] simplifiying candidate # 7.627 * * * * [progress]: [ 65 / 143 ] simplifiying candidate # 7.627 * * * * [progress]: [ 66 / 143 ] simplifiying candidate # 7.627 * * * * [progress]: [ 67 / 143 ] simplifiying candidate # 7.627 * * * * [progress]: [ 68 / 143 ] simplifiying candidate # 7.627 * * * * [progress]: [ 69 / 143 ] simplifiying candidate # 7.627 * * * * [progress]: [ 70 / 143 ] simplifiying candidate # 7.627 * * * * [progress]: [ 71 / 143 ] simplifiying candidate # 7.627 * * * * [progress]: [ 72 / 143 ] simplifiying candidate # 7.628 * * * * [progress]: [ 73 / 143 ] simplifiying candidate # 7.628 * * * * [progress]: [ 74 / 143 ] simplifiying candidate # 7.628 * * * * [progress]: [ 75 / 143 ] simplifiying candidate # 7.628 * * * * [progress]: [ 76 / 143 ] simplifiying candidate # 7.628 * * * * [progress]: [ 77 / 143 ] simplifiying candidate # 7.628 * * * * [progress]: [ 78 / 143 ] simplifiying candidate # 7.628 * * * * [progress]: [ 79 / 143 ] simplifiying candidate # 7.628 * * * * [progress]: [ 80 / 143 ] simplifiying candidate # 7.628 * * * * [progress]: [ 81 / 143 ] simplifiying candidate # 7.628 * * * * [progress]: [ 82 / 143 ] simplifiying candidate # 7.628 * * * * [progress]: [ 83 / 143 ] simplifiying candidate # 7.628 * * * * [progress]: [ 84 / 143 ] simplifiying candidate # 7.628 * * * * [progress]: [ 85 / 143 ] simplifiying candidate # 7.629 * * * * [progress]: [ 86 / 143 ] simplifiying candidate # 7.629 * * * * [progress]: [ 87 / 143 ] simplifiying candidate # 7.629 * * * * [progress]: [ 88 / 143 ] simplifiying candidate # 7.629 * * * * [progress]: [ 89 / 143 ] simplifiying candidate # 7.629 * * * * [progress]: [ 90 / 143 ] simplifiying candidate # 7.629 * * * * [progress]: [ 91 / 143 ] simplifiying candidate # 7.629 * * * * [progress]: [ 92 / 143 ] simplifiying candidate # 7.629 * * * * [progress]: [ 93 / 143 ] simplifiying candidate # 7.629 * * * * [progress]: [ 94 / 143 ] simplifiying candidate # 7.629 * * * * [progress]: [ 95 / 143 ] simplifiying candidate # 7.629 * * * * [progress]: [ 96 / 143 ] simplifiying candidate # 7.629 * * * * [progress]: [ 97 / 143 ] simplifiying candidate # 7.629 * * * * [progress]: [ 98 / 143 ] simplifiying candidate # 7.629 * * * * [progress]: [ 99 / 143 ] simplifiying candidate # 7.630 * * * * [progress]: [ 100 / 143 ] simplifiying candidate # 7.630 * * * * [progress]: [ 101 / 143 ] simplifiying candidate # 7.630 * * * * [progress]: [ 102 / 143 ] simplifiying candidate # 7.630 * * * * [progress]: [ 103 / 143 ] simplifiying candidate # 7.630 * * * * [progress]: [ 104 / 143 ] simplifiying candidate # 7.630 * * * * [progress]: [ 105 / 143 ] simplifiying candidate # 7.630 * * * * [progress]: [ 106 / 143 ] simplifiying candidate # 7.630 * * * * [progress]: [ 107 / 143 ] simplifiying candidate # 7.630 * * * * [progress]: [ 108 / 143 ] simplifiying candidate # 7.630 * * * * [progress]: [ 109 / 143 ] simplifiying candidate # 7.630 * * * * [progress]: [ 110 / 143 ] simplifiying candidate # 7.630 * * * * [progress]: [ 111 / 143 ] simplifiying candidate #real (real->posit16 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) 1)) (cos (/ K 2))) (* -2 J)))> 7.630 * * * * [progress]: [ 112 / 143 ] simplifiying candidate # 7.630 * * * * [progress]: [ 113 / 143 ] simplifiying candidate # 7.630 * * * * [progress]: [ 114 / 143 ] simplifiying candidate # 7.630 * * * * [progress]: [ 115 / 143 ] simplifiying candidate # 7.631 * * * * [progress]: [ 116 / 143 ] simplifiying candidate # 7.631 * * * * [progress]: [ 117 / 143 ] simplifiying candidate # 7.631 * * * * [progress]: [ 118 / 143 ] simplifiying candidate # 7.631 * * * * [progress]: [ 119 / 143 ] simplifiying candidate # 7.631 * * * * [progress]: [ 120 / 143 ] simplifiying candidate # 7.631 * * * * [progress]: [ 121 / 143 ] simplifiying candidate # 7.631 * * * * [progress]: [ 122 / 143 ] simplifiying candidate # 7.631 * * * * [progress]: [ 123 / 143 ] simplifiying candidate # 7.631 * * * * [progress]: [ 124 / 143 ] simplifiying candidate # 7.631 * * * * [progress]: [ 125 / 143 ] simplifiying candidate # 7.631 * * * * [progress]: [ 126 / 143 ] simplifiying candidate # 7.631 * * * * [progress]: [ 127 / 143 ] simplifiying candidate # 7.631 * * * * [progress]: [ 128 / 143 ] simplifiying candidate # 7.631 * * * * [progress]: [ 129 / 143 ] simplifiying candidate # 7.631 * * * * [progress]: [ 130 / 143 ] simplifiying candidate #real (real->posit16 (* (* J 2) (cos (/ K 2))))))) 1)) (cos (/ K 2))) (* -2 J)))> 7.632 * * * * [progress]: [ 131 / 143 ] simplifiying candidate # 7.632 * * * * [progress]: [ 132 / 143 ] simplifiying candidate # 7.632 * * * * [progress]: [ 133 / 143 ] simplifiying candidate # 7.632 * * * * [progress]: [ 134 / 143 ] simplifiying candidate # 7.632 * * * * [progress]: [ 135 / 143 ] simplifiying candidate # 7.632 * * * * [progress]: [ 136 / 143 ] simplifiying candidate # 7.632 * * * * [progress]: [ 137 / 143 ] simplifiying candidate # 7.632 * * * * [progress]: [ 138 / 143 ] simplifiying candidate # 7.632 * * * * [progress]: [ 139 / 143 ] simplifiying candidate # 7.632 * * * * [progress]: [ 140 / 143 ] simplifiying candidate # 7.632 * * * * [progress]: [ 141 / 143 ] simplifiying candidate # 7.632 * * * * [progress]: [ 142 / 143 ] simplifiying candidate # 7.632 * * * * [progress]: [ 143 / 143 ] simplifiying candidate # 7.635 * [simplify]: Simplifying: (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (exp (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ 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(* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (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 1))) (sqrt (- (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (/ 1 2) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (real->posit16 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)) (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)) (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 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2))))) (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (cbrt (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (cbrt (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))) (cbrt (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (fabs (/ (/ U (* 2 J)) (cos (/ K 2)))) (fabs (/ (/ U (* 2 J)) (cos (/ K 2)))) (* U U) (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2)) (* (* (cbrt (/ (/ U (* 2 J)) (cos (/ K 2)))) (cbrt (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (cbrt (/ (/ U (* 2 J)) (cos (/ K 2)))) (cbrt (/ (/ U (* 2 J)) (cos (/ K 2)))))) (* (cbrt (/ (/ U (* 2 J)) (cos (/ K 2)))) (cbrt (/ (/ U (* 2 J)) (cos (/ K 2))))) (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))) (* (/ (* (cbrt U) (cbrt U)) (* 2 J)) (/ (* (cbrt U) (cbrt U)) (* 2 J))) (* (/ (cbrt U) (cos (/ K 2))) (/ (cbrt U) (cos (/ K 2)))) (* (/ (sqrt U) (* 2 J)) (/ (sqrt U) (* 2 J))) (* (/ (sqrt U) (cos (/ K 2))) (/ (sqrt U) (cos (/ K 2)))) (* (/ 1/2 J) (/ 1/2 J)) (* (/ U (cos (/ K 2))) (/ U (cos (/ K 2)))) 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* U U) (* (/ (/ 1/2 J) (cos (/ K 2))) (/ (/ 1/2 J) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))) 2 (* (* (cbrt (/ (/ U (* 2 J)) (cos (/ K 2)))) (cbrt (/ (/ U (* 2 J)) (cos (/ K 2))))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (sqrt (/ (/ U (* 2 J)) (cos (/ K 2))))) (/ (* (/ (* (cbrt U) (cbrt U)) (* 2 J)) (/ U (* 2 J))) (cos (/ K 2))) (/ (* (/ U (* 2 J)) (/ (sqrt U) (* 2 J))) (cos (/ K 2))) (/ (/ (/ U (* 2 J)) (cos (/ K 2))) (* 2 J)) (/ (/ U (* 2 J)) (cos (/ K 2))) (* U (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (cbrt (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (sqrt (/ (/ U (* 2 J)) (cos (/ K 2))))) (/ (cbrt U) (/ (cos (/ K 2)) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (/ (/ (sqrt U) (cos (/ K 2))) (cos (/ K 2))) (/ U (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ U (cos (/ K 2)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ (/ (/ U (* 2 J)) (cos (/ K 2))) (* 2 J)) (cos (/ K 2))) (* U (/ (/ U (* 2 J)) (cos (/ K 2)))) (* U (/ (/ U (* 2 J)) (cos (/ K 2)))) (real->posit16 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2) (log (* (* (cos (/ K 2)) J) 2)) (log (* (* (cos (/ K 2)) J) 2)) (log (* (* (cos (/ K 2)) J) 2)) (exp (* (* (cos (/ K 2)) J) 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (* (cos (/ K 2)) (* 8 (* J (* J J))))) (* (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2)) (* (* (cos (/ K 2)) J) 2)) (* (cbrt (* (* (cos (/ K 2)) J) 2)) (cbrt (* (* (cos (/ K 2)) J) 2))) (cbrt (* (* (cos (/ K 2)) J) 2)) (* (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2)) (* (* (cos (/ K 2)) J) 2)) (sqrt (* (* (cos (/ K 2)) J) 2)) (sqrt (* (* (cos (/ K 2)) J) 2)) (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (* 2 J))) (* 2 (* J (sqrt (cos (/ K 2))))) (* 2 J) (* (cos (/ K 2)) 2) (real->posit16 (* (* (cos (/ K 2)) J) 2)) 1 (/ (* 1/2 (/ U (cos (* K 1/2)))) J) (/ (* 1/2 (/ U (cos (* K 1/2)))) J) (+ (* (/ (* U U) J) -1/4) (* -2 J)) (- U) (- U) (+ (* (* (/ U J) (/ U J)) 1/4) (* (/ (* K K) (* (/ J U) (/ J U))) 1/16)) (* (/ 1/4 (* J J)) (* (/ U (cos (* K 1/2))) (/ U (cos (* K 1/2))))) (* (/ 1/4 (* J J)) (* (/ U (cos (* K 1/2))) (/ U (cos (* K 1/2))))) (* 2 J) (* (* (cos (* K 1/2)) 2) J) (* (* (cos (* K 1/2)) 2) J) 9.000 * * * [progress]: adding candidates to table 10.985 * * [progress]: iteration 3 / 4 10.985 * * * [progress]: picking best candidate 11.018 * * * * [pick]: Picked # 11.018 * * * [progress]: localizing error 11.082 * * * [progress]: generating rewritten candidates 11.082 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 11.156 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 11.251 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 11.362 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 11.560 * * * [progress]: generating series expansions 11.560 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 11.561 * [backup-simplify]: Simplify (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) into (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/3) 11.561 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/3) in (U J K) around 0 11.561 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/3) in K 11.561 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in K 11.561 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in K 11.561 * [taylor]: Taking taylor expansion of 1/3 in K 11.561 * [backup-simplify]: Simplify 1/3 into 1/3 11.561 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 11.561 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 11.561 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 11.561 * [taylor]: Taking taylor expansion of 1/4 in K 11.561 * [backup-simplify]: Simplify 1/4 into 1/4 11.561 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 11.561 * [taylor]: Taking taylor expansion of (pow U 2) in K 11.561 * [taylor]: Taking taylor expansion of U in K 11.561 * [backup-simplify]: Simplify U into U 11.561 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 11.561 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 11.561 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 11.561 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 11.561 * [taylor]: Taking taylor expansion of 1/2 in K 11.561 * [backup-simplify]: Simplify 1/2 into 1/2 11.561 * [taylor]: Taking taylor expansion of K in K 11.562 * [backup-simplify]: Simplify 0 into 0 11.562 * [backup-simplify]: Simplify 1 into 1 11.562 * [backup-simplify]: Simplify (* 1/2 0) into 0 11.563 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 11.563 * [taylor]: Taking taylor expansion of (pow J 2) in K 11.563 * [taylor]: Taking taylor expansion of J in K 11.563 * [backup-simplify]: Simplify J into J 11.563 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.564 * [backup-simplify]: Simplify (* 1 1) into 1 11.564 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.564 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 11.564 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 11.564 * [taylor]: Taking taylor expansion of 1 in K 11.564 * [backup-simplify]: Simplify 1 into 1 11.564 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 11.565 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 11.565 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 11.565 * [backup-simplify]: Simplify (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) 11.566 * [backup-simplify]: Simplify (exp (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/3) 11.566 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/3) in J 11.566 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J 11.566 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J 11.566 * [taylor]: Taking taylor expansion of 1/3 in J 11.566 * [backup-simplify]: Simplify 1/3 into 1/3 11.566 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 11.566 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 11.566 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 11.566 * [taylor]: Taking taylor expansion of 1/4 in J 11.566 * [backup-simplify]: Simplify 1/4 into 1/4 11.566 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 11.566 * [taylor]: Taking taylor expansion of (pow U 2) in J 11.566 * [taylor]: Taking taylor expansion of U in J 11.566 * [backup-simplify]: Simplify U into U 11.566 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 11.566 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 11.566 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 11.566 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 11.566 * [taylor]: Taking taylor expansion of 1/2 in J 11.566 * [backup-simplify]: Simplify 1/2 into 1/2 11.566 * [taylor]: Taking taylor expansion of K in J 11.566 * [backup-simplify]: Simplify K into K 11.566 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 11.566 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 11.566 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 11.566 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 11.567 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 11.567 * [backup-simplify]: Simplify (- 0) into 0 11.567 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 11.567 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.567 * [taylor]: Taking taylor expansion of J in J 11.567 * [backup-simplify]: Simplify 0 into 0 11.567 * [backup-simplify]: Simplify 1 into 1 11.567 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.568 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 11.568 * [backup-simplify]: Simplify (* 1 1) into 1 11.568 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 11.568 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 11.568 * [taylor]: Taking taylor expansion of 1 in J 11.568 * [backup-simplify]: Simplify 1 into 1 11.569 * [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))) 11.569 * [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))) 11.569 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) 11.570 * [backup-simplify]: Simplify (+ (* (- 2) (log J)) (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))) 11.570 * [backup-simplify]: Simplify (* 1/3 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) into (* 1/3 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) 11.570 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) into (exp (* 1/3 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) 11.570 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/3) in U 11.571 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 11.571 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 11.571 * [taylor]: Taking taylor expansion of 1/3 in U 11.571 * [backup-simplify]: Simplify 1/3 into 1/3 11.571 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 11.571 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 11.571 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 11.571 * [taylor]: Taking taylor expansion of 1/4 in U 11.571 * [backup-simplify]: Simplify 1/4 into 1/4 11.571 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 11.571 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.571 * [taylor]: Taking taylor expansion of U in U 11.571 * [backup-simplify]: Simplify 0 into 0 11.571 * [backup-simplify]: Simplify 1 into 1 11.571 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 11.571 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 11.571 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 11.571 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 11.571 * [taylor]: Taking taylor expansion of 1/2 in U 11.571 * [backup-simplify]: Simplify 1/2 into 1/2 11.571 * [taylor]: Taking taylor expansion of K in U 11.571 * [backup-simplify]: Simplify K into K 11.571 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 11.571 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 11.571 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 11.571 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 11.571 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 11.572 * [backup-simplify]: Simplify (- 0) into 0 11.572 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 11.572 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.572 * [taylor]: Taking taylor expansion of J in U 11.572 * [backup-simplify]: Simplify J into J 11.573 * [backup-simplify]: Simplify (* 1 1) into 1 11.573 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 11.573 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.573 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 11.573 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 11.573 * [taylor]: Taking taylor expansion of 1 in U 11.573 * [backup-simplify]: Simplify 1 into 1 11.574 * [backup-simplify]: Simplify (+ 0 1) into 1 11.574 * [backup-simplify]: Simplify (log 1) into 0 11.575 * [backup-simplify]: Simplify (* 1/3 0) into 0 11.575 * [backup-simplify]: Simplify (+ 0 0) into 0 11.577 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.577 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 11.578 * [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))) 11.578 * [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)))) 11.581 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 11.581 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/12 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 11.581 * [backup-simplify]: Simplify (exp 0) into 1 11.581 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/3) in U 11.582 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 11.582 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 11.582 * [taylor]: Taking taylor expansion of 1/3 in U 11.582 * [backup-simplify]: Simplify 1/3 into 1/3 11.582 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 11.582 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 11.582 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 11.582 * [taylor]: Taking taylor expansion of 1/4 in U 11.582 * [backup-simplify]: Simplify 1/4 into 1/4 11.582 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 11.582 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.582 * [taylor]: Taking taylor expansion of U in U 11.582 * [backup-simplify]: Simplify 0 into 0 11.582 * [backup-simplify]: Simplify 1 into 1 11.582 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 11.582 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 11.582 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 11.582 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 11.582 * [taylor]: Taking taylor expansion of 1/2 in U 11.582 * [backup-simplify]: Simplify 1/2 into 1/2 11.582 * [taylor]: Taking taylor expansion of K in U 11.582 * [backup-simplify]: Simplify K into K 11.582 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 11.582 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 11.582 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 11.582 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 11.583 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 11.583 * [backup-simplify]: Simplify (- 0) into 0 11.583 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 11.583 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.583 * [taylor]: Taking taylor expansion of J in U 11.583 * [backup-simplify]: Simplify J into J 11.584 * [backup-simplify]: Simplify (* 1 1) into 1 11.584 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 11.584 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.584 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 11.584 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 11.584 * [taylor]: Taking taylor expansion of 1 in U 11.584 * [backup-simplify]: Simplify 1 into 1 11.585 * [backup-simplify]: Simplify (+ 0 1) into 1 11.585 * [backup-simplify]: Simplify (log 1) into 0 11.586 * [backup-simplify]: Simplify (* 1/3 0) into 0 11.586 * [backup-simplify]: Simplify (+ 0 0) into 0 11.587 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.588 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 11.588 * [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))) 11.589 * [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)))) 11.591 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 11.592 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/12 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 11.592 * [backup-simplify]: Simplify (exp 0) into 1 11.592 * [taylor]: Taking taylor expansion of 1 in J 11.592 * [backup-simplify]: Simplify 1 into 1 11.592 * [taylor]: Taking taylor expansion of 1 in K 11.592 * [backup-simplify]: Simplify 1 into 1 11.592 * [backup-simplify]: Simplify 1 into 1 11.593 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 11.593 * [taylor]: Taking taylor expansion of 0 in J 11.593 * [backup-simplify]: Simplify 0 into 0 11.593 * [taylor]: Taking taylor expansion of 0 in K 11.593 * [backup-simplify]: Simplify 0 into 0 11.594 * [backup-simplify]: Simplify 0 into 0 11.594 * [taylor]: Taking taylor expansion of 0 in K 11.594 * [backup-simplify]: Simplify 0 into 0 11.594 * [backup-simplify]: Simplify 0 into 0 11.594 * [backup-simplify]: Simplify 0 into 0 11.595 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/12 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1)))) into (/ 1/12 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 11.595 * [taylor]: Taking taylor expansion of (/ 1/12 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 11.595 * [taylor]: Taking taylor expansion of 1/12 in J 11.595 * [backup-simplify]: Simplify 1/12 into 1/12 11.595 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 11.595 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 11.595 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 11.595 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 11.595 * [taylor]: Taking taylor expansion of 1/2 in J 11.595 * [backup-simplify]: Simplify 1/2 into 1/2 11.595 * [taylor]: Taking taylor expansion of K in J 11.595 * [backup-simplify]: Simplify K into K 11.595 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 11.595 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 11.595 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 11.595 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 11.596 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 11.596 * [backup-simplify]: Simplify (- 0) into 0 11.596 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 11.596 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.596 * [taylor]: Taking taylor expansion of J in J 11.596 * [backup-simplify]: Simplify 0 into 0 11.596 * [backup-simplify]: Simplify 1 into 1 11.596 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 11.597 * [backup-simplify]: Simplify (* 1 1) into 1 11.597 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 11.597 * [backup-simplify]: Simplify (/ 1/12 (pow (cos (* 1/2 K)) 2)) into (/ 1/12 (pow (cos (* 1/2 K)) 2)) 11.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.599 * [backup-simplify]: Simplify (+ 0) into 0 11.599 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 11.600 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 11.601 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.601 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 11.601 * [backup-simplify]: Simplify (- 0) into 0 11.602 * [backup-simplify]: Simplify (+ 0 0) into 0 11.602 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 11.603 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.604 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.604 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.605 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 11.606 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.607 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.607 * [backup-simplify]: Simplify (- 0) into 0 11.608 * [backup-simplify]: Simplify (+ 0 0) into 0 11.608 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 11.609 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 11.610 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 11.610 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/12 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 11.610 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/12 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 11.611 * [taylor]: Taking taylor expansion of 0 in K 11.611 * [backup-simplify]: Simplify 0 into 0 11.611 * [backup-simplify]: Simplify 0 into 0 11.611 * [taylor]: Taking taylor expansion of 0 in K 11.611 * [backup-simplify]: Simplify 0 into 0 11.611 * [backup-simplify]: Simplify 0 into 0 11.611 * [taylor]: Taking taylor expansion of 0 in K 11.611 * [backup-simplify]: Simplify 0 into 0 11.611 * [backup-simplify]: Simplify 0 into 0 11.611 * [backup-simplify]: Simplify 1 into 1 11.611 * [backup-simplify]: Simplify (cbrt (+ (* (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) 1)) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) 11.612 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) in (U J K) around 0 11.612 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) in K 11.612 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in K 11.612 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in K 11.612 * [taylor]: Taking taylor expansion of 1/3 in K 11.612 * [backup-simplify]: Simplify 1/3 into 1/3 11.612 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 11.612 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 11.612 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 11.612 * [taylor]: Taking taylor expansion of 1/4 in K 11.612 * [backup-simplify]: Simplify 1/4 into 1/4 11.612 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 11.612 * [taylor]: Taking taylor expansion of (pow J 2) in K 11.612 * [taylor]: Taking taylor expansion of J in K 11.612 * [backup-simplify]: Simplify J into J 11.612 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 11.612 * [taylor]: Taking taylor expansion of (pow U 2) in K 11.612 * [taylor]: Taking taylor expansion of U in K 11.612 * [backup-simplify]: Simplify U into U 11.612 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 11.612 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 11.612 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 11.612 * [taylor]: Taking taylor expansion of 1/2 in K 11.612 * [backup-simplify]: Simplify 1/2 into 1/2 11.612 * [taylor]: Taking taylor expansion of K in K 11.612 * [backup-simplify]: Simplify 0 into 0 11.612 * [backup-simplify]: Simplify 1 into 1 11.613 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.613 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.613 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.613 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.613 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.613 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 11.614 * [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))) 11.614 * [taylor]: Taking taylor expansion of 1 in K 11.614 * [backup-simplify]: Simplify 1 into 1 11.614 * [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)))) 11.615 * [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) 11.615 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 11.615 * [backup-simplify]: Simplify (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) 11.616 * [backup-simplify]: Simplify (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) 11.616 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) in J 11.616 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in J 11.616 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in J 11.616 * [taylor]: Taking taylor expansion of 1/3 in J 11.616 * [backup-simplify]: Simplify 1/3 into 1/3 11.616 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 11.616 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 11.616 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 11.616 * [taylor]: Taking taylor expansion of 1/4 in J 11.616 * [backup-simplify]: Simplify 1/4 into 1/4 11.616 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 11.616 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.616 * [taylor]: Taking taylor expansion of J in J 11.616 * [backup-simplify]: Simplify 0 into 0 11.616 * [backup-simplify]: Simplify 1 into 1 11.616 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 11.616 * [taylor]: Taking taylor expansion of (pow U 2) in J 11.616 * [taylor]: Taking taylor expansion of U in J 11.616 * [backup-simplify]: Simplify U into U 11.617 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 11.617 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 11.617 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 11.617 * [taylor]: Taking taylor expansion of 1/2 in J 11.617 * [backup-simplify]: Simplify 1/2 into 1/2 11.617 * [taylor]: Taking taylor expansion of K in J 11.617 * [backup-simplify]: Simplify K into K 11.617 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.617 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.617 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.617 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.617 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.618 * [backup-simplify]: Simplify (- 0) into 0 11.618 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.618 * [backup-simplify]: Simplify (* 1 1) into 1 11.618 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.618 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.619 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 11.619 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 11.619 * [taylor]: Taking taylor expansion of 1 in J 11.619 * [backup-simplify]: Simplify 1 into 1 11.619 * [backup-simplify]: Simplify (+ 0 1) into 1 11.620 * [backup-simplify]: Simplify (log 1) into 0 11.620 * [backup-simplify]: Simplify (* 1/3 0) into 0 11.620 * [backup-simplify]: Simplify (+ 0 0) into 0 11.622 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.622 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 11.623 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 11.623 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 11.625 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 11.626 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (+ (* 0 0) (* 0 0))) into (* 1/12 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 11.626 * [backup-simplify]: Simplify (exp 0) into 1 11.626 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) in U 11.626 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U 11.626 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U 11.626 * [taylor]: Taking taylor expansion of 1/3 in U 11.626 * [backup-simplify]: Simplify 1/3 into 1/3 11.626 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 11.626 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 11.626 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 11.626 * [taylor]: Taking taylor expansion of 1/4 in U 11.626 * [backup-simplify]: Simplify 1/4 into 1/4 11.626 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 11.626 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.626 * [taylor]: Taking taylor expansion of J in U 11.626 * [backup-simplify]: Simplify J into J 11.626 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 11.626 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.626 * [taylor]: Taking taylor expansion of U in U 11.627 * [backup-simplify]: Simplify 0 into 0 11.627 * [backup-simplify]: Simplify 1 into 1 11.627 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 11.627 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 11.627 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 11.627 * [taylor]: Taking taylor expansion of 1/2 in U 11.627 * [backup-simplify]: Simplify 1/2 into 1/2 11.627 * [taylor]: Taking taylor expansion of K in U 11.627 * [backup-simplify]: Simplify K into K 11.627 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.627 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.627 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.627 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.627 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.628 * [backup-simplify]: Simplify (- 0) into 0 11.628 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.628 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.628 * [backup-simplify]: Simplify (* 1 1) into 1 11.628 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.628 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 11.629 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 11.629 * [taylor]: Taking taylor expansion of 1 in U 11.629 * [backup-simplify]: Simplify 1 into 1 11.629 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 11.629 * [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))) 11.629 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 11.630 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 11.630 * [backup-simplify]: Simplify (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 11.630 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 11.631 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) in U 11.631 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U 11.631 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U 11.631 * [taylor]: Taking taylor expansion of 1/3 in U 11.631 * [backup-simplify]: Simplify 1/3 into 1/3 11.631 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 11.631 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 11.631 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 11.631 * [taylor]: Taking taylor expansion of 1/4 in U 11.631 * [backup-simplify]: Simplify 1/4 into 1/4 11.631 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 11.631 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.631 * [taylor]: Taking taylor expansion of J in U 11.631 * [backup-simplify]: Simplify J into J 11.631 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 11.631 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.631 * [taylor]: Taking taylor expansion of U in U 11.631 * [backup-simplify]: Simplify 0 into 0 11.631 * [backup-simplify]: Simplify 1 into 1 11.631 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 11.631 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 11.631 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 11.631 * [taylor]: Taking taylor expansion of 1/2 in U 11.631 * [backup-simplify]: Simplify 1/2 into 1/2 11.631 * [taylor]: Taking taylor expansion of K in U 11.631 * [backup-simplify]: Simplify K into K 11.631 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.631 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.631 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.631 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.632 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.632 * [backup-simplify]: Simplify (- 0) into 0 11.632 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.632 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.633 * [backup-simplify]: Simplify (* 1 1) into 1 11.633 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.633 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 11.633 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 11.633 * [taylor]: Taking taylor expansion of 1 in U 11.633 * [backup-simplify]: Simplify 1 into 1 11.633 * [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))) 11.633 * [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))) 11.634 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 11.634 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 11.635 * [backup-simplify]: Simplify (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 11.635 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 11.635 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J 11.635 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 11.635 * [taylor]: Taking taylor expansion of 1/3 in J 11.635 * [backup-simplify]: Simplify 1/3 into 1/3 11.635 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 11.635 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 11.635 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 11.635 * [taylor]: Taking taylor expansion of 1/4 in J 11.635 * [backup-simplify]: Simplify 1/4 into 1/4 11.635 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 11.635 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.635 * [taylor]: Taking taylor expansion of J in J 11.635 * [backup-simplify]: Simplify 0 into 0 11.635 * [backup-simplify]: Simplify 1 into 1 11.635 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 11.635 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 11.635 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 11.635 * [taylor]: Taking taylor expansion of 1/2 in J 11.635 * [backup-simplify]: Simplify 1/2 into 1/2 11.635 * [taylor]: Taking taylor expansion of K in J 11.636 * [backup-simplify]: Simplify K into K 11.636 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.636 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.636 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.636 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.636 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.636 * [backup-simplify]: Simplify (- 0) into 0 11.636 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.637 * [backup-simplify]: Simplify (* 1 1) into 1 11.637 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.637 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 11.637 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 11.637 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 11.637 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 11.637 * [taylor]: Taking taylor expansion of 2 in J 11.637 * [backup-simplify]: Simplify 2 into 2 11.637 * [taylor]: Taking taylor expansion of (log U) in J 11.638 * [taylor]: Taking taylor expansion of U in J 11.638 * [backup-simplify]: Simplify U into U 11.638 * [backup-simplify]: Simplify (log U) into (log U) 11.638 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) 11.638 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 11.638 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 11.639 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 11.639 * [backup-simplify]: Simplify (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 11.639 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 11.639 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in K 11.639 * [taylor]: Taking taylor expansion of (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in K 11.639 * [taylor]: Taking taylor expansion of 1/3 in K 11.639 * [backup-simplify]: Simplify 1/3 into 1/3 11.639 * [taylor]: Taking taylor expansion of (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in K 11.639 * [taylor]: Taking taylor expansion of (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) in K 11.639 * [taylor]: Taking taylor expansion of (* 2 (log J)) in K 11.640 * [taylor]: Taking taylor expansion of 2 in K 11.640 * [backup-simplify]: Simplify 2 into 2 11.640 * [taylor]: Taking taylor expansion of (log J) in K 11.640 * [taylor]: Taking taylor expansion of J in K 11.640 * [backup-simplify]: Simplify J into J 11.640 * [backup-simplify]: Simplify (log J) into (log J) 11.640 * [taylor]: Taking taylor expansion of (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) in K 11.640 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ 1/2 K)) 2)) in K 11.640 * [taylor]: Taking taylor expansion of 1/4 in K 11.640 * [backup-simplify]: Simplify 1/4 into 1/4 11.640 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 11.640 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 11.640 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 11.640 * [taylor]: Taking taylor expansion of 1/2 in K 11.640 * [backup-simplify]: Simplify 1/2 into 1/2 11.640 * [taylor]: Taking taylor expansion of K in K 11.640 * [backup-simplify]: Simplify 0 into 0 11.640 * [backup-simplify]: Simplify 1 into 1 11.640 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.641 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.641 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.641 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 11.641 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 11.641 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 11.641 * [taylor]: Taking taylor expansion of 2 in K 11.641 * [backup-simplify]: Simplify 2 into 2 11.641 * [taylor]: Taking taylor expansion of (log U) in K 11.641 * [taylor]: Taking taylor expansion of U in K 11.641 * [backup-simplify]: Simplify U into U 11.641 * [backup-simplify]: Simplify (log U) into (log U) 11.641 * [backup-simplify]: Simplify (* 2 (log J)) into (* 2 (log J)) 11.641 * [backup-simplify]: Simplify (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) 11.641 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 11.642 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 11.642 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 11.642 * [backup-simplify]: Simplify (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 11.642 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 11.643 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 11.643 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.643 * [backup-simplify]: Simplify (+ 0) into 0 11.644 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 11.644 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 11.645 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.645 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 11.646 * [backup-simplify]: Simplify (- 0) into 0 11.646 * [backup-simplify]: Simplify (+ 0 0) into 0 11.646 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 11.647 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.652 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 11.652 * [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 11.653 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 11.654 * [backup-simplify]: Simplify (+ 0 0) into 0 11.655 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 1) into 0 11.655 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 11.656 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 11.656 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.656 * [taylor]: Taking taylor expansion of 0 in J 11.657 * [backup-simplify]: Simplify 0 into 0 11.657 * [taylor]: Taking taylor expansion of 0 in K 11.657 * [backup-simplify]: Simplify 0 into 0 11.657 * [backup-simplify]: Simplify 0 into 0 11.657 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.657 * [backup-simplify]: Simplify (+ 0) into 0 11.658 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 11.658 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 11.658 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.659 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 11.659 * [backup-simplify]: Simplify (- 0) into 0 11.659 * [backup-simplify]: Simplify (+ 0 0) into 0 11.659 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 11.659 * [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 11.660 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 11.660 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 11.661 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 11.661 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 11.661 * [backup-simplify]: Simplify (- 0) into 0 11.662 * [backup-simplify]: Simplify (+ 0 0) into 0 11.662 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 11.663 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.663 * [taylor]: Taking taylor expansion of 0 in K 11.663 * [backup-simplify]: Simplify 0 into 0 11.663 * [backup-simplify]: Simplify 0 into 0 11.663 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 11.664 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log J))) into 0 11.664 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 11.664 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 11.664 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 11.665 * [backup-simplify]: Simplify (+ 0 0) into 0 11.665 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 11.665 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 11.666 * [backup-simplify]: Simplify (- 0) into 0 11.666 * [backup-simplify]: Simplify (+ 0 0) into 0 11.666 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 11.667 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.667 * [backup-simplify]: Simplify 0 into 0 11.667 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 11.668 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.668 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.669 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.669 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.669 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.670 * [backup-simplify]: Simplify (- 0) into 0 11.670 * [backup-simplify]: Simplify (+ 0 0) into 0 11.670 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 11.671 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.671 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 11.672 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 11.672 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 11.673 * [backup-simplify]: Simplify (+ 0 1) into 1 11.674 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 2) into (* 4 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 11.674 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 11.675 * [backup-simplify]: Simplify (+ (* 1/3 (* 4 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into (* 4/3 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 11.676 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 4/3 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 1) 1)))) into (* 4/3 (/ (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2))) 11.676 * [taylor]: Taking taylor expansion of (* 4/3 (/ (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2))) in J 11.676 * [taylor]: Taking taylor expansion of 4/3 in J 11.676 * [backup-simplify]: Simplify 4/3 into 4/3 11.676 * [taylor]: Taking taylor expansion of (/ (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) in J 11.676 * [taylor]: Taking taylor expansion of (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) in J 11.676 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J 11.676 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 11.676 * [taylor]: Taking taylor expansion of 1/3 in J 11.676 * [backup-simplify]: Simplify 1/3 into 1/3 11.676 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 11.676 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 11.676 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 11.676 * [taylor]: Taking taylor expansion of 1/4 in J 11.676 * [backup-simplify]: Simplify 1/4 into 1/4 11.676 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 11.676 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.676 * [taylor]: Taking taylor expansion of J in J 11.676 * [backup-simplify]: Simplify 0 into 0 11.676 * [backup-simplify]: Simplify 1 into 1 11.676 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 11.676 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 11.676 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 11.676 * [taylor]: Taking taylor expansion of 1/2 in J 11.676 * [backup-simplify]: Simplify 1/2 into 1/2 11.676 * [taylor]: Taking taylor expansion of K in J 11.676 * [backup-simplify]: Simplify K into K 11.676 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.676 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.676 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.676 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.676 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.677 * [backup-simplify]: Simplify (- 0) into 0 11.677 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.677 * [backup-simplify]: Simplify (* 1 1) into 1 11.677 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.677 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 11.677 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 11.677 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 11.677 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 11.677 * [taylor]: Taking taylor expansion of 2 in J 11.677 * [backup-simplify]: Simplify 2 into 2 11.677 * [taylor]: Taking taylor expansion of (log U) in J 11.677 * [taylor]: Taking taylor expansion of U in J 11.677 * [backup-simplify]: Simplify U into U 11.677 * [backup-simplify]: Simplify (log U) into (log U) 11.678 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) 11.678 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 11.678 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 11.678 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 11.678 * [backup-simplify]: Simplify (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 11.678 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 11.678 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 11.679 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 11.679 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 11.679 * [taylor]: Taking taylor expansion of 1/2 in J 11.679 * [backup-simplify]: Simplify 1/2 into 1/2 11.679 * [taylor]: Taking taylor expansion of K in J 11.679 * [backup-simplify]: Simplify K into K 11.679 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.679 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.679 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.679 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.679 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.679 * [backup-simplify]: Simplify (- 0) into 0 11.679 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.679 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.679 * [taylor]: Taking taylor expansion of J in J 11.679 * [backup-simplify]: Simplify 0 into 0 11.679 * [backup-simplify]: Simplify 1 into 1 11.679 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.680 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) into (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 11.680 * [backup-simplify]: Simplify (* 1 1) into 1 11.680 * [backup-simplify]: Simplify (/ (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 1) into (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 11.680 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 11.681 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.681 * [backup-simplify]: Simplify (+ 0) into 0 11.682 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.682 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.682 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.683 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.683 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.683 * [backup-simplify]: Simplify (- 0) into 0 11.684 * [backup-simplify]: Simplify (+ 0 0) into 0 11.684 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 11.684 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 11.684 * [backup-simplify]: Simplify (- 0) into 0 11.685 * [backup-simplify]: Simplify (+ 0 0) into 0 11.685 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 11.685 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.686 * [backup-simplify]: Simplify (+ 0) into 0 11.686 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 11.686 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 11.687 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.687 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 11.687 * [backup-simplify]: Simplify (- 0) into 0 11.687 * [backup-simplify]: Simplify (+ 0 0) into 0 11.688 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 11.688 * [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 11.688 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 11.689 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 11.689 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 11.689 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 11.690 * [backup-simplify]: Simplify (- 0) into 0 11.690 * [backup-simplify]: Simplify (+ 0 0) into 0 11.690 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 11.691 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.691 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 11.692 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.692 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.693 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.693 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.693 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.694 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.694 * [backup-simplify]: Simplify (- 0) into 0 11.694 * [backup-simplify]: Simplify (+ 0 0) into 0 11.694 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 11.695 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 11.695 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 11.697 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 2) into 0 11.698 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 11.698 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 11.699 * [backup-simplify]: Simplify (- 0) into 0 11.699 * [backup-simplify]: Simplify (+ 0 0) into 0 11.699 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0 11.700 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.701 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 11.701 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.702 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 11.702 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.703 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)))) into 0 11.704 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.705 * [backup-simplify]: Simplify (+ (* 4/3 0) (+ (* 0 0) (* 0 (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2))))) into 0 11.705 * [taylor]: Taking taylor expansion of 0 in K 11.705 * [backup-simplify]: Simplify 0 into 0 11.705 * [backup-simplify]: Simplify 0 into 0 11.705 * [taylor]: Taking taylor expansion of 0 in K 11.705 * [backup-simplify]: Simplify 0 into 0 11.705 * [backup-simplify]: Simplify 0 into 0 11.705 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.706 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.706 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.707 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.707 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.708 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.708 * [backup-simplify]: Simplify (- 0) into 0 11.708 * [backup-simplify]: Simplify (+ 0 0) into 0 11.709 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 11.709 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 11.710 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 11.711 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 2) into 0 11.712 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 11.712 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 11.712 * [backup-simplify]: Simplify (- 0) into 0 11.713 * [backup-simplify]: Simplify (+ 0 0) into 0 11.713 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0 11.714 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.714 * [taylor]: Taking taylor expansion of 0 in K 11.714 * [backup-simplify]: Simplify 0 into 0 11.714 * [backup-simplify]: Simplify 0 into 0 11.714 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log (/ 1 J))) (log (/ 1/4 (pow (cos (/ 1/2 (/ 1 K))) 2)))) (* 2 (log (/ 1 U)))))) into (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ 1 J)))) (* 2 (log (/ 1 U)))))) 11.715 * [backup-simplify]: Simplify (cbrt (+ (* (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) 1)) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/3) 11.715 * [approximate]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/3) in (U J K) around 0 11.715 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/3) in K 11.715 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K 11.715 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K 11.715 * [taylor]: Taking taylor expansion of 1/3 in K 11.715 * [backup-simplify]: Simplify 1/3 into 1/3 11.715 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 11.715 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 11.715 * [taylor]: Taking taylor expansion of 1 in K 11.715 * [backup-simplify]: Simplify 1 into 1 11.715 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 11.715 * [taylor]: Taking taylor expansion of 1/4 in K 11.715 * [backup-simplify]: Simplify 1/4 into 1/4 11.715 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 11.715 * [taylor]: Taking taylor expansion of (pow J 2) in K 11.715 * [taylor]: Taking taylor expansion of J in K 11.715 * [backup-simplify]: Simplify J into J 11.715 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 11.715 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 11.715 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 11.715 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 11.715 * [taylor]: Taking taylor expansion of -1/2 in K 11.715 * [backup-simplify]: Simplify -1/2 into -1/2 11.715 * [taylor]: Taking taylor expansion of K in K 11.715 * [backup-simplify]: Simplify 0 into 0 11.715 * [backup-simplify]: Simplify 1 into 1 11.716 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 11.716 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.716 * [taylor]: Taking taylor expansion of (pow U 2) in K 11.716 * [taylor]: Taking taylor expansion of U in K 11.716 * [backup-simplify]: Simplify U into U 11.716 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.716 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.716 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.716 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 11.717 * [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))) 11.717 * [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)))) 11.717 * [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))))) 11.718 * [backup-simplify]: Simplify (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 11.718 * [backup-simplify]: Simplify (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 11.718 * [backup-simplify]: Simplify (exp (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/3) 11.718 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/3) in J 11.719 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J 11.719 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 11.719 * [taylor]: Taking taylor expansion of 1/3 in J 11.719 * [backup-simplify]: Simplify 1/3 into 1/3 11.719 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 11.719 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 11.719 * [taylor]: Taking taylor expansion of 1 in J 11.719 * [backup-simplify]: Simplify 1 into 1 11.719 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 11.719 * [taylor]: Taking taylor expansion of 1/4 in J 11.719 * [backup-simplify]: Simplify 1/4 into 1/4 11.719 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 11.719 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.719 * [taylor]: Taking taylor expansion of J in J 11.719 * [backup-simplify]: Simplify 0 into 0 11.719 * [backup-simplify]: Simplify 1 into 1 11.719 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 11.719 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 11.719 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 11.719 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 11.719 * [taylor]: Taking taylor expansion of -1/2 in J 11.719 * [backup-simplify]: Simplify -1/2 into -1/2 11.719 * [taylor]: Taking taylor expansion of K in J 11.719 * [backup-simplify]: Simplify K into K 11.719 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.719 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.719 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.719 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.720 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.720 * [backup-simplify]: Simplify (- 0) into 0 11.720 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.720 * [taylor]: Taking taylor expansion of (pow U 2) in J 11.720 * [taylor]: Taking taylor expansion of U in J 11.720 * [backup-simplify]: Simplify U into U 11.720 * [backup-simplify]: Simplify (* 1 1) into 1 11.720 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.720 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.721 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 11.721 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 11.721 * [backup-simplify]: Simplify (+ 1 0) into 1 11.721 * [backup-simplify]: Simplify (log 1) into 0 11.722 * [backup-simplify]: Simplify (* 1/3 0) into 0 11.722 * [backup-simplify]: Simplify (+ 0 0) into 0 11.723 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.723 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 11.723 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 11.723 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 11.724 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 11.725 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 0))) into (* 1/12 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 11.725 * [backup-simplify]: Simplify (exp 0) into 1 11.725 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/3) in U 11.725 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 11.725 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 11.725 * [taylor]: Taking taylor expansion of 1/3 in U 11.725 * [backup-simplify]: Simplify 1/3 into 1/3 11.725 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 11.725 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 11.725 * [taylor]: Taking taylor expansion of 1 in U 11.725 * [backup-simplify]: Simplify 1 into 1 11.725 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 11.725 * [taylor]: Taking taylor expansion of 1/4 in U 11.725 * [backup-simplify]: Simplify 1/4 into 1/4 11.725 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 11.725 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.725 * [taylor]: Taking taylor expansion of J in U 11.725 * [backup-simplify]: Simplify J into J 11.725 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 11.725 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 11.725 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 11.725 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 11.725 * [taylor]: Taking taylor expansion of -1/2 in U 11.725 * [backup-simplify]: Simplify -1/2 into -1/2 11.725 * [taylor]: Taking taylor expansion of K in U 11.725 * [backup-simplify]: Simplify K into K 11.725 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.725 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.725 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.726 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.726 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.726 * [backup-simplify]: Simplify (- 0) into 0 11.726 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.726 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.726 * [taylor]: Taking taylor expansion of U in U 11.726 * [backup-simplify]: Simplify 0 into 0 11.726 * [backup-simplify]: Simplify 1 into 1 11.726 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.726 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.726 * [backup-simplify]: Simplify (* 1 1) into 1 11.727 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 11.727 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 11.727 * [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))) 11.727 * [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))) 11.727 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 11.727 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 11.728 * [backup-simplify]: Simplify (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 11.728 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 11.728 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/3) in U 11.728 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 11.728 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 11.728 * [taylor]: Taking taylor expansion of 1/3 in U 11.728 * [backup-simplify]: Simplify 1/3 into 1/3 11.728 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 11.728 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 11.728 * [taylor]: Taking taylor expansion of 1 in U 11.728 * [backup-simplify]: Simplify 1 into 1 11.728 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 11.728 * [taylor]: Taking taylor expansion of 1/4 in U 11.728 * [backup-simplify]: Simplify 1/4 into 1/4 11.728 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 11.728 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.728 * [taylor]: Taking taylor expansion of J in U 11.728 * [backup-simplify]: Simplify J into J 11.728 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 11.728 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 11.728 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 11.728 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 11.728 * [taylor]: Taking taylor expansion of -1/2 in U 11.728 * [backup-simplify]: Simplify -1/2 into -1/2 11.728 * [taylor]: Taking taylor expansion of K in U 11.728 * [backup-simplify]: Simplify K into K 11.728 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.728 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.728 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.728 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.728 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.729 * [backup-simplify]: Simplify (- 0) into 0 11.729 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.729 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.729 * [taylor]: Taking taylor expansion of U in U 11.729 * [backup-simplify]: Simplify 0 into 0 11.729 * [backup-simplify]: Simplify 1 into 1 11.729 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.729 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.729 * [backup-simplify]: Simplify (* 1 1) into 1 11.729 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 11.729 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 11.730 * [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))) 11.730 * [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))) 11.730 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 11.730 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 11.730 * [backup-simplify]: Simplify (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 11.731 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 11.731 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J 11.731 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 11.731 * [taylor]: Taking taylor expansion of 1/3 in J 11.731 * [backup-simplify]: Simplify 1/3 into 1/3 11.731 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 11.731 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 11.731 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 11.731 * [taylor]: Taking taylor expansion of 1/4 in J 11.731 * [backup-simplify]: Simplify 1/4 into 1/4 11.731 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 11.731 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.731 * [taylor]: Taking taylor expansion of J in J 11.731 * [backup-simplify]: Simplify 0 into 0 11.731 * [backup-simplify]: Simplify 1 into 1 11.731 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 11.731 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 11.731 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 11.731 * [taylor]: Taking taylor expansion of -1/2 in J 11.731 * [backup-simplify]: Simplify -1/2 into -1/2 11.731 * [taylor]: Taking taylor expansion of K in J 11.731 * [backup-simplify]: Simplify K into K 11.731 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.731 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.731 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.731 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.731 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.731 * [backup-simplify]: Simplify (- 0) into 0 11.732 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.732 * [backup-simplify]: Simplify (* 1 1) into 1 11.732 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.732 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 11.732 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 11.732 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 11.732 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 11.732 * [taylor]: Taking taylor expansion of 2 in J 11.732 * [backup-simplify]: Simplify 2 into 2 11.732 * [taylor]: Taking taylor expansion of (log U) in J 11.732 * [taylor]: Taking taylor expansion of U in J 11.732 * [backup-simplify]: Simplify U into U 11.732 * [backup-simplify]: Simplify (log U) into (log U) 11.733 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) 11.733 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 11.733 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 11.733 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 11.733 * [backup-simplify]: Simplify (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 11.733 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 11.733 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in K 11.733 * [taylor]: Taking taylor expansion of (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in K 11.733 * [taylor]: Taking taylor expansion of 1/3 in K 11.733 * [backup-simplify]: Simplify 1/3 into 1/3 11.733 * [taylor]: Taking taylor expansion of (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in K 11.733 * [taylor]: Taking taylor expansion of (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) in K 11.733 * [taylor]: Taking taylor expansion of (* 2 (log J)) in K 11.733 * [taylor]: Taking taylor expansion of 2 in K 11.733 * [backup-simplify]: Simplify 2 into 2 11.733 * [taylor]: Taking taylor expansion of (log J) in K 11.733 * [taylor]: Taking taylor expansion of J in K 11.733 * [backup-simplify]: Simplify J into J 11.733 * [backup-simplify]: Simplify (log J) into (log J) 11.733 * [taylor]: Taking taylor expansion of (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) in K 11.733 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ -1/2 K)) 2)) in K 11.733 * [taylor]: Taking taylor expansion of 1/4 in K 11.733 * [backup-simplify]: Simplify 1/4 into 1/4 11.734 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 11.734 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 11.734 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 11.734 * [taylor]: Taking taylor expansion of -1/2 in K 11.734 * [backup-simplify]: Simplify -1/2 into -1/2 11.734 * [taylor]: Taking taylor expansion of K in K 11.734 * [backup-simplify]: Simplify 0 into 0 11.734 * [backup-simplify]: Simplify 1 into 1 11.734 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 11.734 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.734 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.734 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 11.734 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 11.734 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 11.734 * [taylor]: Taking taylor expansion of 2 in K 11.734 * [backup-simplify]: Simplify 2 into 2 11.734 * [taylor]: Taking taylor expansion of (log U) in K 11.734 * [taylor]: Taking taylor expansion of U in K 11.734 * [backup-simplify]: Simplify U into U 11.734 * [backup-simplify]: Simplify (log U) into (log U) 11.734 * [backup-simplify]: Simplify (* 2 (log J)) into (* 2 (log J)) 11.734 * [backup-simplify]: Simplify (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) 11.735 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 11.735 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 11.735 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 11.735 * [backup-simplify]: Simplify (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 11.735 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 11.735 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 11.735 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.736 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.736 * [backup-simplify]: Simplify (+ 0) into 0 11.736 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 11.736 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 11.737 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.737 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 11.737 * [backup-simplify]: Simplify (- 0) into 0 11.738 * [backup-simplify]: Simplify (+ 0 0) into 0 11.738 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.738 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 11.738 * [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 11.739 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 11.739 * [backup-simplify]: Simplify (+ 0 0) into 0 11.740 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 1) into 0 11.740 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 11.740 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 11.741 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.741 * [taylor]: Taking taylor expansion of 0 in J 11.741 * [backup-simplify]: Simplify 0 into 0 11.741 * [taylor]: Taking taylor expansion of 0 in K 11.741 * [backup-simplify]: Simplify 0 into 0 11.741 * [backup-simplify]: Simplify 0 into 0 11.742 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.742 * [backup-simplify]: Simplify (+ 0) into 0 11.742 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 11.742 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 11.743 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.743 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 11.743 * [backup-simplify]: Simplify (- 0) into 0 11.744 * [backup-simplify]: Simplify (+ 0 0) into 0 11.744 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.744 * [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 11.744 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 11.745 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 11.745 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 11.746 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 11.746 * [backup-simplify]: Simplify (- 0) into 0 11.746 * [backup-simplify]: Simplify (+ 0 0) into 0 11.746 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 11.750 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.751 * [taylor]: Taking taylor expansion of 0 in K 11.751 * [backup-simplify]: Simplify 0 into 0 11.751 * [backup-simplify]: Simplify 0 into 0 11.751 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 11.752 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log J))) into 0 11.752 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.752 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 11.753 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 11.754 * [backup-simplify]: Simplify (+ 0 0) into 0 11.754 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 11.755 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 11.755 * [backup-simplify]: Simplify (- 0) into 0 11.755 * [backup-simplify]: Simplify (+ 0 0) into 0 11.756 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 11.757 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.757 * [backup-simplify]: Simplify 0 into 0 11.758 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 11.759 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.760 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.760 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.761 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.761 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.762 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.762 * [backup-simplify]: Simplify (- 0) into 0 11.763 * [backup-simplify]: Simplify (+ 0 0) into 0 11.763 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 11.764 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 11.764 * [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 11.765 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 11.766 * [backup-simplify]: Simplify (+ 1 0) into 1 11.768 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 2) into (* 4 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 11.768 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 11.769 * [backup-simplify]: Simplify (+ (* 1/3 (* 4 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (* 4/3 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 11.771 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 4/3 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 1) 1)))) into (* 4/3 (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2))) 11.771 * [taylor]: Taking taylor expansion of (* 4/3 (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2))) in J 11.771 * [taylor]: Taking taylor expansion of 4/3 in J 11.771 * [backup-simplify]: Simplify 4/3 into 4/3 11.771 * [taylor]: Taking taylor expansion of (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) in J 11.771 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) in J 11.771 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 11.771 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 11.771 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 11.771 * [taylor]: Taking taylor expansion of -1/2 in J 11.771 * [backup-simplify]: Simplify -1/2 into -1/2 11.771 * [taylor]: Taking taylor expansion of K in J 11.771 * [backup-simplify]: Simplify K into K 11.771 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.771 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.771 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.771 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.771 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.772 * [backup-simplify]: Simplify (- 0) into 0 11.772 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.772 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J 11.772 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 11.772 * [taylor]: Taking taylor expansion of 1/3 in J 11.772 * [backup-simplify]: Simplify 1/3 into 1/3 11.772 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 11.772 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 11.772 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 11.772 * [taylor]: Taking taylor expansion of 1/4 in J 11.772 * [backup-simplify]: Simplify 1/4 into 1/4 11.772 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 11.772 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.772 * [taylor]: Taking taylor expansion of J in J 11.772 * [backup-simplify]: Simplify 0 into 0 11.772 * [backup-simplify]: Simplify 1 into 1 11.772 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 11.772 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 11.772 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 11.772 * [taylor]: Taking taylor expansion of -1/2 in J 11.772 * [backup-simplify]: Simplify -1/2 into -1/2 11.772 * [taylor]: Taking taylor expansion of K in J 11.772 * [backup-simplify]: Simplify K into K 11.772 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.773 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.773 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.773 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.773 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.773 * [backup-simplify]: Simplify (- 0) into 0 11.773 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.774 * [backup-simplify]: Simplify (* 1 1) into 1 11.774 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.774 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 11.774 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 11.774 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 11.774 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 11.774 * [taylor]: Taking taylor expansion of 2 in J 11.774 * [backup-simplify]: Simplify 2 into 2 11.774 * [taylor]: Taking taylor expansion of (log U) in J 11.774 * [taylor]: Taking taylor expansion of U in J 11.774 * [backup-simplify]: Simplify U into U 11.774 * [backup-simplify]: Simplify (log U) into (log U) 11.775 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) 11.775 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 11.775 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 11.775 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 11.776 * [backup-simplify]: Simplify (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 11.776 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 11.776 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.776 * [taylor]: Taking taylor expansion of J in J 11.776 * [backup-simplify]: Simplify 0 into 0 11.776 * [backup-simplify]: Simplify 1 into 1 11.776 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.776 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 11.777 * [backup-simplify]: Simplify (* 1 1) into 1 11.777 * [backup-simplify]: Simplify (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 1) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 11.778 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.778 * [backup-simplify]: Simplify (+ 0) into 0 11.779 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 11.779 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 11.780 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.780 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 11.780 * [backup-simplify]: Simplify (- 0) into 0 11.781 * [backup-simplify]: Simplify (+ 0 0) into 0 11.781 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.781 * [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 11.781 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 11.782 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 11.782 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 11.783 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 11.783 * [backup-simplify]: Simplify (- 0) into 0 11.783 * [backup-simplify]: Simplify (+ 0 0) into 0 11.784 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 11.784 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.785 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.785 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.785 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.786 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.786 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.787 * [backup-simplify]: Simplify (- 0) into 0 11.787 * [backup-simplify]: Simplify (+ 0 0) into 0 11.787 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 11.787 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 11.788 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 11.789 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 2) into 0 11.790 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 11.791 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 11.791 * [backup-simplify]: Simplify (- 0) into 0 11.791 * [backup-simplify]: Simplify (+ 0 0) into 0 11.792 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 11.793 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.793 * [backup-simplify]: Simplify (+ 0) into 0 11.793 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 11.793 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 11.794 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.794 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 11.794 * [backup-simplify]: Simplify (- 0) into 0 11.795 * [backup-simplify]: Simplify (+ 0 0) into 0 11.795 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.795 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.796 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.796 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.797 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.797 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.797 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.798 * [backup-simplify]: Simplify (- 0) into 0 11.798 * [backup-simplify]: Simplify (+ 0 0) into 0 11.798 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 11.799 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))))) into 0 11.799 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.800 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))))) into 0 11.800 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.801 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)))) into 0 11.802 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.803 * [backup-simplify]: Simplify (+ (* 4/3 0) (+ (* 0 0) (* 0 (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))))))) into 0 11.803 * [taylor]: Taking taylor expansion of 0 in K 11.803 * [backup-simplify]: Simplify 0 into 0 11.803 * [backup-simplify]: Simplify 0 into 0 11.803 * [taylor]: Taking taylor expansion of 0 in K 11.803 * [backup-simplify]: Simplify 0 into 0 11.803 * [backup-simplify]: Simplify 0 into 0 11.803 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.804 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.804 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.805 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.805 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.806 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.806 * [backup-simplify]: Simplify (- 0) into 0 11.806 * [backup-simplify]: Simplify (+ 0 0) into 0 11.806 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 11.807 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 11.807 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 11.808 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 2) into 0 11.809 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 11.810 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 11.810 * [backup-simplify]: Simplify (- 0) into 0 11.810 * [backup-simplify]: Simplify (+ 0 0) into 0 11.811 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 11.812 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.812 * [taylor]: Taking taylor expansion of 0 in K 11.812 * [backup-simplify]: Simplify 0 into 0 11.812 * [backup-simplify]: Simplify 0 into 0 11.812 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log (/ 1 (- J)))) (log (/ 1/4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)))) (* 2 (log (/ 1 (- U))))))) into (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ -1 J)))) (* 2 (log (/ -1 U)))))) 11.812 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 11.813 * [backup-simplify]: Simplify (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) into (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/3) 11.813 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/3) in (U J K) around 0 11.813 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/3) in K 11.813 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in K 11.813 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in K 11.813 * [taylor]: Taking taylor expansion of 1/3 in K 11.813 * [backup-simplify]: Simplify 1/3 into 1/3 11.813 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 11.813 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 11.813 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 11.813 * [taylor]: Taking taylor expansion of 1/4 in K 11.813 * [backup-simplify]: Simplify 1/4 into 1/4 11.813 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 11.813 * [taylor]: Taking taylor expansion of (pow U 2) in K 11.813 * [taylor]: Taking taylor expansion of U in K 11.813 * [backup-simplify]: Simplify U into U 11.813 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 11.813 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 11.813 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 11.813 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 11.813 * [taylor]: Taking taylor expansion of 1/2 in K 11.813 * [backup-simplify]: Simplify 1/2 into 1/2 11.813 * [taylor]: Taking taylor expansion of K in K 11.813 * [backup-simplify]: Simplify 0 into 0 11.813 * [backup-simplify]: Simplify 1 into 1 11.813 * [backup-simplify]: Simplify (* 1/2 0) into 0 11.814 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 11.814 * [taylor]: Taking taylor expansion of (pow J 2) in K 11.814 * [taylor]: Taking taylor expansion of J in K 11.814 * [backup-simplify]: Simplify J into J 11.814 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.814 * [backup-simplify]: Simplify (* 1 1) into 1 11.814 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.814 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 11.814 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 11.814 * [taylor]: Taking taylor expansion of 1 in K 11.814 * [backup-simplify]: Simplify 1 into 1 11.814 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 11.814 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 11.815 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 11.815 * [backup-simplify]: Simplify (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) 11.815 * [backup-simplify]: Simplify (exp (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/3) 11.815 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/3) in J 11.815 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J 11.815 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J 11.815 * [taylor]: Taking taylor expansion of 1/3 in J 11.815 * [backup-simplify]: Simplify 1/3 into 1/3 11.815 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 11.815 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 11.815 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 11.815 * [taylor]: Taking taylor expansion of 1/4 in J 11.815 * [backup-simplify]: Simplify 1/4 into 1/4 11.815 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 11.815 * [taylor]: Taking taylor expansion of (pow U 2) in J 11.815 * [taylor]: Taking taylor expansion of U in J 11.815 * [backup-simplify]: Simplify U into U 11.815 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 11.815 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 11.815 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 11.815 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 11.815 * [taylor]: Taking taylor expansion of 1/2 in J 11.815 * [backup-simplify]: Simplify 1/2 into 1/2 11.815 * [taylor]: Taking taylor expansion of K in J 11.815 * [backup-simplify]: Simplify K into K 11.815 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 11.815 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 11.815 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 11.815 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 11.815 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 11.816 * [backup-simplify]: Simplify (- 0) into 0 11.816 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 11.816 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.816 * [taylor]: Taking taylor expansion of J in J 11.816 * [backup-simplify]: Simplify 0 into 0 11.816 * [backup-simplify]: Simplify 1 into 1 11.816 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.816 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 11.816 * [backup-simplify]: Simplify (* 1 1) into 1 11.816 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 11.816 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 11.816 * [taylor]: Taking taylor expansion of 1 in J 11.816 * [backup-simplify]: Simplify 1 into 1 11.817 * [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))) 11.817 * [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))) 11.817 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) 11.817 * [backup-simplify]: Simplify (+ (* (- 2) (log J)) (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))) 11.817 * [backup-simplify]: Simplify (* 1/3 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) into (* 1/3 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) 11.818 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) into (exp (* 1/3 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) 11.818 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/3) in U 11.818 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 11.818 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 11.818 * [taylor]: Taking taylor expansion of 1/3 in U 11.818 * [backup-simplify]: Simplify 1/3 into 1/3 11.818 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 11.818 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 11.818 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 11.818 * [taylor]: Taking taylor expansion of 1/4 in U 11.818 * [backup-simplify]: Simplify 1/4 into 1/4 11.818 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 11.818 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.818 * [taylor]: Taking taylor expansion of U in U 11.818 * [backup-simplify]: Simplify 0 into 0 11.818 * [backup-simplify]: Simplify 1 into 1 11.818 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 11.818 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 11.818 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 11.818 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 11.818 * [taylor]: Taking taylor expansion of 1/2 in U 11.818 * [backup-simplify]: Simplify 1/2 into 1/2 11.818 * [taylor]: Taking taylor expansion of K in U 11.818 * [backup-simplify]: Simplify K into K 11.818 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 11.818 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 11.818 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 11.818 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 11.818 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 11.819 * [backup-simplify]: Simplify (- 0) into 0 11.819 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 11.819 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.819 * [taylor]: Taking taylor expansion of J in U 11.819 * [backup-simplify]: Simplify J into J 11.819 * [backup-simplify]: Simplify (* 1 1) into 1 11.819 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 11.819 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.819 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 11.819 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 11.819 * [taylor]: Taking taylor expansion of 1 in U 11.819 * [backup-simplify]: Simplify 1 into 1 11.820 * [backup-simplify]: Simplify (+ 0 1) into 1 11.820 * [backup-simplify]: Simplify (log 1) into 0 11.820 * [backup-simplify]: Simplify (* 1/3 0) into 0 11.820 * [backup-simplify]: Simplify (+ 0 0) into 0 11.821 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.822 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 11.822 * [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))) 11.822 * [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)))) 11.823 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 11.824 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/12 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 11.824 * [backup-simplify]: Simplify (exp 0) into 1 11.824 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/3) in U 11.824 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 11.824 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 11.824 * [taylor]: Taking taylor expansion of 1/3 in U 11.824 * [backup-simplify]: Simplify 1/3 into 1/3 11.824 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 11.824 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 11.824 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 11.824 * [taylor]: Taking taylor expansion of 1/4 in U 11.824 * [backup-simplify]: Simplify 1/4 into 1/4 11.824 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 11.824 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.824 * [taylor]: Taking taylor expansion of U in U 11.824 * [backup-simplify]: Simplify 0 into 0 11.824 * [backup-simplify]: Simplify 1 into 1 11.824 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 11.824 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 11.824 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 11.824 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 11.824 * [taylor]: Taking taylor expansion of 1/2 in U 11.824 * [backup-simplify]: Simplify 1/2 into 1/2 11.824 * [taylor]: Taking taylor expansion of K in U 11.824 * [backup-simplify]: Simplify K into K 11.824 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 11.824 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 11.824 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 11.824 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 11.824 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 11.824 * [backup-simplify]: Simplify (- 0) into 0 11.824 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 11.824 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.825 * [taylor]: Taking taylor expansion of J in U 11.825 * [backup-simplify]: Simplify J into J 11.825 * [backup-simplify]: Simplify (* 1 1) into 1 11.825 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 11.825 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.825 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 11.825 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 11.825 * [taylor]: Taking taylor expansion of 1 in U 11.825 * [backup-simplify]: Simplify 1 into 1 11.825 * [backup-simplify]: Simplify (+ 0 1) into 1 11.826 * [backup-simplify]: Simplify (log 1) into 0 11.826 * [backup-simplify]: Simplify (* 1/3 0) into 0 11.826 * [backup-simplify]: Simplify (+ 0 0) into 0 11.827 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.827 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 11.827 * [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))) 11.828 * [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)))) 11.829 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 11.829 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/12 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 11.829 * [backup-simplify]: Simplify (exp 0) into 1 11.829 * [taylor]: Taking taylor expansion of 1 in J 11.829 * [backup-simplify]: Simplify 1 into 1 11.829 * [taylor]: Taking taylor expansion of 1 in K 11.829 * [backup-simplify]: Simplify 1 into 1 11.829 * [backup-simplify]: Simplify 1 into 1 11.830 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 11.830 * [taylor]: Taking taylor expansion of 0 in J 11.830 * [backup-simplify]: Simplify 0 into 0 11.830 * [taylor]: Taking taylor expansion of 0 in K 11.830 * [backup-simplify]: Simplify 0 into 0 11.830 * [backup-simplify]: Simplify 0 into 0 11.830 * [taylor]: Taking taylor expansion of 0 in K 11.830 * [backup-simplify]: Simplify 0 into 0 11.830 * [backup-simplify]: Simplify 0 into 0 11.830 * [backup-simplify]: Simplify 0 into 0 11.831 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/12 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1)))) into (/ 1/12 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 11.831 * [taylor]: Taking taylor expansion of (/ 1/12 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 11.831 * [taylor]: Taking taylor expansion of 1/12 in J 11.831 * [backup-simplify]: Simplify 1/12 into 1/12 11.831 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 11.831 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 11.831 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 11.831 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 11.831 * [taylor]: Taking taylor expansion of 1/2 in J 11.831 * [backup-simplify]: Simplify 1/2 into 1/2 11.831 * [taylor]: Taking taylor expansion of K in J 11.831 * [backup-simplify]: Simplify K into K 11.831 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 11.831 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 11.831 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 11.831 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 11.831 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 11.832 * [backup-simplify]: Simplify (- 0) into 0 11.832 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 11.832 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.832 * [taylor]: Taking taylor expansion of J in J 11.832 * [backup-simplify]: Simplify 0 into 0 11.832 * [backup-simplify]: Simplify 1 into 1 11.832 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 11.832 * [backup-simplify]: Simplify (* 1 1) into 1 11.832 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 11.832 * [backup-simplify]: Simplify (/ 1/12 (pow (cos (* 1/2 K)) 2)) into (/ 1/12 (pow (cos (* 1/2 K)) 2)) 11.833 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.833 * [backup-simplify]: Simplify (+ 0) into 0 11.833 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 11.834 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 11.834 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.835 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 11.835 * [backup-simplify]: Simplify (- 0) into 0 11.835 * [backup-simplify]: Simplify (+ 0 0) into 0 11.835 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 11.836 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.836 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.837 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.837 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 11.838 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.838 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.838 * [backup-simplify]: Simplify (- 0) into 0 11.838 * [backup-simplify]: Simplify (+ 0 0) into 0 11.839 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 11.839 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 11.840 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 11.840 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/12 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 11.840 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/12 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 11.840 * [taylor]: Taking taylor expansion of 0 in K 11.840 * [backup-simplify]: Simplify 0 into 0 11.840 * [backup-simplify]: Simplify 0 into 0 11.840 * [taylor]: Taking taylor expansion of 0 in K 11.840 * [backup-simplify]: Simplify 0 into 0 11.840 * [backup-simplify]: Simplify 0 into 0 11.840 * [taylor]: Taking taylor expansion of 0 in K 11.840 * [backup-simplify]: Simplify 0 into 0 11.840 * [backup-simplify]: Simplify 0 into 0 11.840 * [backup-simplify]: Simplify 1 into 1 11.841 * [backup-simplify]: Simplify (cbrt (+ (* (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) 1)) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) 11.841 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) in (U J K) around 0 11.841 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) in K 11.841 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in K 11.841 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in K 11.841 * [taylor]: Taking taylor expansion of 1/3 in K 11.841 * [backup-simplify]: Simplify 1/3 into 1/3 11.841 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 11.841 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 11.841 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 11.841 * [taylor]: Taking taylor expansion of 1/4 in K 11.841 * [backup-simplify]: Simplify 1/4 into 1/4 11.841 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 11.841 * [taylor]: Taking taylor expansion of (pow J 2) in K 11.841 * [taylor]: Taking taylor expansion of J in K 11.841 * [backup-simplify]: Simplify J into J 11.841 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 11.841 * [taylor]: Taking taylor expansion of (pow U 2) in K 11.841 * [taylor]: Taking taylor expansion of U in K 11.841 * [backup-simplify]: Simplify U into U 11.841 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 11.841 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 11.841 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 11.841 * [taylor]: Taking taylor expansion of 1/2 in K 11.841 * [backup-simplify]: Simplify 1/2 into 1/2 11.841 * [taylor]: Taking taylor expansion of K in K 11.841 * [backup-simplify]: Simplify 0 into 0 11.841 * [backup-simplify]: Simplify 1 into 1 11.841 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.841 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.841 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.841 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.842 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.842 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 11.842 * [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))) 11.842 * [taylor]: Taking taylor expansion of 1 in K 11.842 * [backup-simplify]: Simplify 1 into 1 11.842 * [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)))) 11.842 * [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) 11.842 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 11.843 * [backup-simplify]: Simplify (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) 11.843 * [backup-simplify]: Simplify (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) 11.843 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) in J 11.843 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in J 11.843 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in J 11.843 * [taylor]: Taking taylor expansion of 1/3 in J 11.843 * [backup-simplify]: Simplify 1/3 into 1/3 11.843 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 11.843 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 11.843 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 11.843 * [taylor]: Taking taylor expansion of 1/4 in J 11.843 * [backup-simplify]: Simplify 1/4 into 1/4 11.843 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 11.843 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.843 * [taylor]: Taking taylor expansion of J in J 11.843 * [backup-simplify]: Simplify 0 into 0 11.843 * [backup-simplify]: Simplify 1 into 1 11.843 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 11.843 * [taylor]: Taking taylor expansion of (pow U 2) in J 11.843 * [taylor]: Taking taylor expansion of U in J 11.843 * [backup-simplify]: Simplify U into U 11.843 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 11.843 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 11.843 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 11.843 * [taylor]: Taking taylor expansion of 1/2 in J 11.843 * [backup-simplify]: Simplify 1/2 into 1/2 11.843 * [taylor]: Taking taylor expansion of K in J 11.843 * [backup-simplify]: Simplify K into K 11.843 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.843 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.843 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.843 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.843 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.844 * [backup-simplify]: Simplify (- 0) into 0 11.844 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.844 * [backup-simplify]: Simplify (* 1 1) into 1 11.844 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.844 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.844 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 11.844 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 11.844 * [taylor]: Taking taylor expansion of 1 in J 11.844 * [backup-simplify]: Simplify 1 into 1 11.845 * [backup-simplify]: Simplify (+ 0 1) into 1 11.845 * [backup-simplify]: Simplify (log 1) into 0 11.845 * [backup-simplify]: Simplify (* 1/3 0) into 0 11.845 * [backup-simplify]: Simplify (+ 0 0) into 0 11.846 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.847 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 11.847 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 11.847 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 11.848 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 11.849 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (+ (* 0 0) (* 0 0))) into (* 1/12 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 11.849 * [backup-simplify]: Simplify (exp 0) into 1 11.849 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) in U 11.849 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U 11.849 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U 11.849 * [taylor]: Taking taylor expansion of 1/3 in U 11.849 * [backup-simplify]: Simplify 1/3 into 1/3 11.849 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 11.849 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 11.849 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 11.849 * [taylor]: Taking taylor expansion of 1/4 in U 11.849 * [backup-simplify]: Simplify 1/4 into 1/4 11.849 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 11.849 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.849 * [taylor]: Taking taylor expansion of J in U 11.849 * [backup-simplify]: Simplify J into J 11.849 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 11.849 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.849 * [taylor]: Taking taylor expansion of U in U 11.849 * [backup-simplify]: Simplify 0 into 0 11.849 * [backup-simplify]: Simplify 1 into 1 11.849 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 11.849 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 11.849 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 11.849 * [taylor]: Taking taylor expansion of 1/2 in U 11.849 * [backup-simplify]: Simplify 1/2 into 1/2 11.849 * [taylor]: Taking taylor expansion of K in U 11.849 * [backup-simplify]: Simplify K into K 11.849 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.849 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.849 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.849 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.849 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.850 * [backup-simplify]: Simplify (- 0) into 0 11.850 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.850 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.850 * [backup-simplify]: Simplify (* 1 1) into 1 11.850 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.850 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 11.850 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 11.850 * [taylor]: Taking taylor expansion of 1 in U 11.850 * [backup-simplify]: Simplify 1 into 1 11.850 * [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))) 11.850 * [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))) 11.851 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 11.851 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 11.851 * [backup-simplify]: Simplify (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 11.851 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 11.851 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) in U 11.851 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U 11.851 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U 11.851 * [taylor]: Taking taylor expansion of 1/3 in U 11.851 * [backup-simplify]: Simplify 1/3 into 1/3 11.851 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 11.851 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 11.852 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 11.852 * [taylor]: Taking taylor expansion of 1/4 in U 11.852 * [backup-simplify]: Simplify 1/4 into 1/4 11.852 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 11.852 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.852 * [taylor]: Taking taylor expansion of J in U 11.852 * [backup-simplify]: Simplify J into J 11.852 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 11.852 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.852 * [taylor]: Taking taylor expansion of U in U 11.852 * [backup-simplify]: Simplify 0 into 0 11.852 * [backup-simplify]: Simplify 1 into 1 11.852 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 11.852 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 11.852 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 11.852 * [taylor]: Taking taylor expansion of 1/2 in U 11.852 * [backup-simplify]: Simplify 1/2 into 1/2 11.852 * [taylor]: Taking taylor expansion of K in U 11.852 * [backup-simplify]: Simplify K into K 11.852 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.852 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.852 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.852 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.852 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.856 * [backup-simplify]: Simplify (- 0) into 0 11.856 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.856 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.857 * [backup-simplify]: Simplify (* 1 1) into 1 11.857 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.857 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 11.857 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 11.857 * [taylor]: Taking taylor expansion of 1 in U 11.857 * [backup-simplify]: Simplify 1 into 1 11.857 * [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))) 11.858 * [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))) 11.858 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 11.859 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 11.859 * [backup-simplify]: Simplify (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 11.859 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 11.859 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J 11.859 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 11.859 * [taylor]: Taking taylor expansion of 1/3 in J 11.860 * [backup-simplify]: Simplify 1/3 into 1/3 11.860 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 11.860 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 11.860 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 11.860 * [taylor]: Taking taylor expansion of 1/4 in J 11.860 * [backup-simplify]: Simplify 1/4 into 1/4 11.860 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 11.860 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.860 * [taylor]: Taking taylor expansion of J in J 11.860 * [backup-simplify]: Simplify 0 into 0 11.860 * [backup-simplify]: Simplify 1 into 1 11.860 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 11.860 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 11.860 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 11.860 * [taylor]: Taking taylor expansion of 1/2 in J 11.860 * [backup-simplify]: Simplify 1/2 into 1/2 11.860 * [taylor]: Taking taylor expansion of K in J 11.860 * [backup-simplify]: Simplify K into K 11.860 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.860 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.860 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.860 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.860 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.861 * [backup-simplify]: Simplify (- 0) into 0 11.861 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.861 * [backup-simplify]: Simplify (* 1 1) into 1 11.861 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.862 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 11.862 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 11.862 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 11.862 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 11.862 * [taylor]: Taking taylor expansion of 2 in J 11.862 * [backup-simplify]: Simplify 2 into 2 11.862 * [taylor]: Taking taylor expansion of (log U) in J 11.862 * [taylor]: Taking taylor expansion of U in J 11.862 * [backup-simplify]: Simplify U into U 11.862 * [backup-simplify]: Simplify (log U) into (log U) 11.863 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) 11.863 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 11.863 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 11.863 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 11.863 * [backup-simplify]: Simplify (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 11.864 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 11.864 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in K 11.864 * [taylor]: Taking taylor expansion of (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in K 11.864 * [taylor]: Taking taylor expansion of 1/3 in K 11.864 * [backup-simplify]: Simplify 1/3 into 1/3 11.864 * [taylor]: Taking taylor expansion of (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in K 11.864 * [taylor]: Taking taylor expansion of (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) in K 11.864 * [taylor]: Taking taylor expansion of (* 2 (log J)) in K 11.864 * [taylor]: Taking taylor expansion of 2 in K 11.864 * [backup-simplify]: Simplify 2 into 2 11.864 * [taylor]: Taking taylor expansion of (log J) in K 11.864 * [taylor]: Taking taylor expansion of J in K 11.864 * [backup-simplify]: Simplify J into J 11.864 * [backup-simplify]: Simplify (log J) into (log J) 11.864 * [taylor]: Taking taylor expansion of (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) in K 11.864 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ 1/2 K)) 2)) in K 11.864 * [taylor]: Taking taylor expansion of 1/4 in K 11.864 * [backup-simplify]: Simplify 1/4 into 1/4 11.864 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 11.864 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 11.864 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 11.864 * [taylor]: Taking taylor expansion of 1/2 in K 11.864 * [backup-simplify]: Simplify 1/2 into 1/2 11.864 * [taylor]: Taking taylor expansion of K in K 11.864 * [backup-simplify]: Simplify 0 into 0 11.864 * [backup-simplify]: Simplify 1 into 1 11.865 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.865 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.865 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.865 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 11.865 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 11.865 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 11.865 * [taylor]: Taking taylor expansion of 2 in K 11.866 * [backup-simplify]: Simplify 2 into 2 11.866 * [taylor]: Taking taylor expansion of (log U) in K 11.866 * [taylor]: Taking taylor expansion of U in K 11.866 * [backup-simplify]: Simplify U into U 11.866 * [backup-simplify]: Simplify (log U) into (log U) 11.866 * [backup-simplify]: Simplify (* 2 (log J)) into (* 2 (log J)) 11.866 * [backup-simplify]: Simplify (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) 11.866 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 11.866 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 11.866 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 11.867 * [backup-simplify]: Simplify (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 11.867 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 11.867 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 11.867 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.868 * [backup-simplify]: Simplify (+ 0) into 0 11.869 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 11.869 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 11.870 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.870 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 11.871 * [backup-simplify]: Simplify (- 0) into 0 11.871 * [backup-simplify]: Simplify (+ 0 0) into 0 11.871 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 11.872 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.872 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 11.873 * [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 11.873 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 11.874 * [backup-simplify]: Simplify (+ 0 0) into 0 11.875 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 1) into 0 11.875 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 11.876 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 11.877 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.878 * [taylor]: Taking taylor expansion of 0 in J 11.878 * [backup-simplify]: Simplify 0 into 0 11.878 * [taylor]: Taking taylor expansion of 0 in K 11.878 * [backup-simplify]: Simplify 0 into 0 11.878 * [backup-simplify]: Simplify 0 into 0 11.878 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.879 * [backup-simplify]: Simplify (+ 0) into 0 11.879 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 11.879 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 11.880 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.881 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 11.881 * [backup-simplify]: Simplify (- 0) into 0 11.881 * [backup-simplify]: Simplify (+ 0 0) into 0 11.882 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 11.882 * [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 11.883 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 11.884 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 11.884 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 11.885 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 11.885 * [backup-simplify]: Simplify (- 0) into 0 11.885 * [backup-simplify]: Simplify (+ 0 0) into 0 11.886 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 11.886 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.886 * [taylor]: Taking taylor expansion of 0 in K 11.886 * [backup-simplify]: Simplify 0 into 0 11.886 * [backup-simplify]: Simplify 0 into 0 11.887 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 11.887 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log J))) into 0 11.887 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 11.887 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 11.888 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 11.888 * [backup-simplify]: Simplify (+ 0 0) into 0 11.889 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 11.889 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 11.889 * [backup-simplify]: Simplify (- 0) into 0 11.889 * [backup-simplify]: Simplify (+ 0 0) into 0 11.890 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 11.891 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.891 * [backup-simplify]: Simplify 0 into 0 11.891 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 11.891 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.892 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.892 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.893 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.893 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.893 * [backup-simplify]: Simplify (- 0) into 0 11.893 * [backup-simplify]: Simplify (+ 0 0) into 0 11.894 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 11.894 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.895 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 11.895 * [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 11.896 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 11.896 * [backup-simplify]: Simplify (+ 0 1) into 1 11.897 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 2) into (* 4 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 11.898 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 11.898 * [backup-simplify]: Simplify (+ (* 1/3 (* 4 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into (* 4/3 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 11.899 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 4/3 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 1) 1)))) into (* 4/3 (/ (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2))) 11.899 * [taylor]: Taking taylor expansion of (* 4/3 (/ (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2))) in J 11.899 * [taylor]: Taking taylor expansion of 4/3 in J 11.899 * [backup-simplify]: Simplify 4/3 into 4/3 11.899 * [taylor]: Taking taylor expansion of (/ (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) in J 11.899 * [taylor]: Taking taylor expansion of (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) in J 11.899 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J 11.899 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 11.899 * [taylor]: Taking taylor expansion of 1/3 in J 11.899 * [backup-simplify]: Simplify 1/3 into 1/3 11.899 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 11.899 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 11.899 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 11.899 * [taylor]: Taking taylor expansion of 1/4 in J 11.899 * [backup-simplify]: Simplify 1/4 into 1/4 11.899 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 11.899 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.899 * [taylor]: Taking taylor expansion of J in J 11.899 * [backup-simplify]: Simplify 0 into 0 11.899 * [backup-simplify]: Simplify 1 into 1 11.899 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 11.899 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 11.899 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 11.899 * [taylor]: Taking taylor expansion of 1/2 in J 11.899 * [backup-simplify]: Simplify 1/2 into 1/2 11.899 * [taylor]: Taking taylor expansion of K in J 11.899 * [backup-simplify]: Simplify K into K 11.899 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.899 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.900 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.900 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.900 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.900 * [backup-simplify]: Simplify (- 0) into 0 11.900 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.900 * [backup-simplify]: Simplify (* 1 1) into 1 11.900 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.900 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 11.900 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 11.901 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 11.901 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 11.901 * [taylor]: Taking taylor expansion of 2 in J 11.901 * [backup-simplify]: Simplify 2 into 2 11.901 * [taylor]: Taking taylor expansion of (log U) in J 11.901 * [taylor]: Taking taylor expansion of U in J 11.901 * [backup-simplify]: Simplify U into U 11.901 * [backup-simplify]: Simplify (log U) into (log U) 11.901 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) 11.901 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 11.901 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 11.901 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 11.901 * [backup-simplify]: Simplify (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 11.902 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 11.902 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 11.902 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 11.902 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 11.902 * [taylor]: Taking taylor expansion of 1/2 in J 11.902 * [backup-simplify]: Simplify 1/2 into 1/2 11.902 * [taylor]: Taking taylor expansion of K in J 11.902 * [backup-simplify]: Simplify K into K 11.902 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 11.902 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 11.902 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 11.902 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 11.902 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 11.902 * [backup-simplify]: Simplify (- 0) into 0 11.902 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 11.902 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.902 * [taylor]: Taking taylor expansion of J in J 11.902 * [backup-simplify]: Simplify 0 into 0 11.902 * [backup-simplify]: Simplify 1 into 1 11.903 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 11.903 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) into (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 11.903 * [backup-simplify]: Simplify (* 1 1) into 1 11.903 * [backup-simplify]: Simplify (/ (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 1) into (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 11.903 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 11.904 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.904 * [backup-simplify]: Simplify (+ 0) into 0 11.905 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.905 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.905 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.906 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.906 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.906 * [backup-simplify]: Simplify (- 0) into 0 11.907 * [backup-simplify]: Simplify (+ 0 0) into 0 11.907 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 11.907 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 11.908 * [backup-simplify]: Simplify (- 0) into 0 11.908 * [backup-simplify]: Simplify (+ 0 0) into 0 11.908 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 11.909 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.909 * [backup-simplify]: Simplify (+ 0) into 0 11.909 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 11.910 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 11.910 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.910 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 11.911 * [backup-simplify]: Simplify (- 0) into 0 11.911 * [backup-simplify]: Simplify (+ 0 0) into 0 11.911 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 11.911 * [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 11.911 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 11.912 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 11.912 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 11.913 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 11.913 * [backup-simplify]: Simplify (- 0) into 0 11.913 * [backup-simplify]: Simplify (+ 0 0) into 0 11.914 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 11.914 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.914 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 11.915 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.916 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.916 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.916 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.917 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.917 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.917 * [backup-simplify]: Simplify (- 0) into 0 11.917 * [backup-simplify]: Simplify (+ 0 0) into 0 11.918 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 11.918 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 11.919 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 11.920 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 2) into 0 11.921 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 11.921 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 11.921 * [backup-simplify]: Simplify (- 0) into 0 11.922 * [backup-simplify]: Simplify (+ 0 0) into 0 11.922 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0 11.923 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.924 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 11.924 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.925 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 11.925 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.926 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)))) into 0 11.927 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.928 * [backup-simplify]: Simplify (+ (* 4/3 0) (+ (* 0 0) (* 0 (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2))))) into 0 11.928 * [taylor]: Taking taylor expansion of 0 in K 11.928 * [backup-simplify]: Simplify 0 into 0 11.928 * [backup-simplify]: Simplify 0 into 0 11.928 * [taylor]: Taking taylor expansion of 0 in K 11.928 * [backup-simplify]: Simplify 0 into 0 11.928 * [backup-simplify]: Simplify 0 into 0 11.928 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.929 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.930 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.930 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.930 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.931 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.931 * [backup-simplify]: Simplify (- 0) into 0 11.931 * [backup-simplify]: Simplify (+ 0 0) into 0 11.931 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 11.932 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 11.932 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 11.933 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 2) into 0 11.934 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 11.935 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 11.935 * [backup-simplify]: Simplify (- 0) into 0 11.935 * [backup-simplify]: Simplify (+ 0 0) into 0 11.936 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0 11.937 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.937 * [taylor]: Taking taylor expansion of 0 in K 11.937 * [backup-simplify]: Simplify 0 into 0 11.937 * [backup-simplify]: Simplify 0 into 0 11.937 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log (/ 1 J))) (log (/ 1/4 (pow (cos (/ 1/2 (/ 1 K))) 2)))) (* 2 (log (/ 1 U)))))) into (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ 1 J)))) (* 2 (log (/ 1 U)))))) 11.937 * [backup-simplify]: Simplify (cbrt (+ (* (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) 1)) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/3) 11.938 * [approximate]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/3) in (U J K) around 0 11.938 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/3) in K 11.938 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K 11.938 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K 11.938 * [taylor]: Taking taylor expansion of 1/3 in K 11.938 * [backup-simplify]: Simplify 1/3 into 1/3 11.938 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 11.938 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 11.938 * [taylor]: Taking taylor expansion of 1 in K 11.938 * [backup-simplify]: Simplify 1 into 1 11.938 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 11.938 * [taylor]: Taking taylor expansion of 1/4 in K 11.938 * [backup-simplify]: Simplify 1/4 into 1/4 11.938 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 11.938 * [taylor]: Taking taylor expansion of (pow J 2) in K 11.938 * [taylor]: Taking taylor expansion of J in K 11.938 * [backup-simplify]: Simplify J into J 11.938 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 11.938 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 11.938 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 11.938 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 11.938 * [taylor]: Taking taylor expansion of -1/2 in K 11.938 * [backup-simplify]: Simplify -1/2 into -1/2 11.938 * [taylor]: Taking taylor expansion of K in K 11.938 * [backup-simplify]: Simplify 0 into 0 11.938 * [backup-simplify]: Simplify 1 into 1 11.938 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 11.938 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.938 * [taylor]: Taking taylor expansion of (pow U 2) in K 11.938 * [taylor]: Taking taylor expansion of U in K 11.938 * [backup-simplify]: Simplify U into U 11.938 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.938 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.939 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.939 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 11.939 * [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))) 11.939 * [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)))) 11.939 * [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))))) 11.939 * [backup-simplify]: Simplify (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 11.940 * [backup-simplify]: Simplify (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 11.940 * [backup-simplify]: Simplify (exp (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/3) 11.940 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/3) in J 11.940 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J 11.940 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 11.940 * [taylor]: Taking taylor expansion of 1/3 in J 11.940 * [backup-simplify]: Simplify 1/3 into 1/3 11.940 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 11.940 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 11.940 * [taylor]: Taking taylor expansion of 1 in J 11.940 * [backup-simplify]: Simplify 1 into 1 11.940 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 11.940 * [taylor]: Taking taylor expansion of 1/4 in J 11.940 * [backup-simplify]: Simplify 1/4 into 1/4 11.940 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 11.940 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.940 * [taylor]: Taking taylor expansion of J in J 11.940 * [backup-simplify]: Simplify 0 into 0 11.940 * [backup-simplify]: Simplify 1 into 1 11.940 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 11.940 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 11.940 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 11.940 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 11.940 * [taylor]: Taking taylor expansion of -1/2 in J 11.940 * [backup-simplify]: Simplify -1/2 into -1/2 11.940 * [taylor]: Taking taylor expansion of K in J 11.940 * [backup-simplify]: Simplify K into K 11.940 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.940 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.940 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.940 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.940 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.941 * [backup-simplify]: Simplify (- 0) into 0 11.941 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.941 * [taylor]: Taking taylor expansion of (pow U 2) in J 11.941 * [taylor]: Taking taylor expansion of U in J 11.941 * [backup-simplify]: Simplify U into U 11.941 * [backup-simplify]: Simplify (* 1 1) into 1 11.941 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.941 * [backup-simplify]: Simplify (* U U) into (pow U 2) 11.941 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 11.941 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 11.942 * [backup-simplify]: Simplify (+ 1 0) into 1 11.942 * [backup-simplify]: Simplify (log 1) into 0 11.942 * [backup-simplify]: Simplify (* 1/3 0) into 0 11.943 * [backup-simplify]: Simplify (+ 0 0) into 0 11.943 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.944 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 11.944 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 11.944 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 11.945 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 11.946 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 0))) into (* 1/12 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 11.946 * [backup-simplify]: Simplify (exp 0) into 1 11.946 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/3) in U 11.946 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 11.946 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 11.946 * [taylor]: Taking taylor expansion of 1/3 in U 11.946 * [backup-simplify]: Simplify 1/3 into 1/3 11.946 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 11.946 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 11.946 * [taylor]: Taking taylor expansion of 1 in U 11.946 * [backup-simplify]: Simplify 1 into 1 11.946 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 11.946 * [taylor]: Taking taylor expansion of 1/4 in U 11.946 * [backup-simplify]: Simplify 1/4 into 1/4 11.946 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 11.946 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.946 * [taylor]: Taking taylor expansion of J in U 11.946 * [backup-simplify]: Simplify J into J 11.946 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 11.946 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 11.946 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 11.946 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 11.946 * [taylor]: Taking taylor expansion of -1/2 in U 11.946 * [backup-simplify]: Simplify -1/2 into -1/2 11.946 * [taylor]: Taking taylor expansion of K in U 11.946 * [backup-simplify]: Simplify K into K 11.946 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.946 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.946 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.946 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.946 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.947 * [backup-simplify]: Simplify (- 0) into 0 11.947 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.947 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.947 * [taylor]: Taking taylor expansion of U in U 11.947 * [backup-simplify]: Simplify 0 into 0 11.947 * [backup-simplify]: Simplify 1 into 1 11.947 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.947 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.947 * [backup-simplify]: Simplify (* 1 1) into 1 11.947 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 11.947 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 11.947 * [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))) 11.947 * [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))) 11.948 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 11.948 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 11.948 * [backup-simplify]: Simplify (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 11.948 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 11.948 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/3) in U 11.948 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 11.948 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 11.948 * [taylor]: Taking taylor expansion of 1/3 in U 11.948 * [backup-simplify]: Simplify 1/3 into 1/3 11.948 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 11.949 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 11.949 * [taylor]: Taking taylor expansion of 1 in U 11.949 * [backup-simplify]: Simplify 1 into 1 11.949 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 11.949 * [taylor]: Taking taylor expansion of 1/4 in U 11.949 * [backup-simplify]: Simplify 1/4 into 1/4 11.949 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 11.949 * [taylor]: Taking taylor expansion of (pow J 2) in U 11.949 * [taylor]: Taking taylor expansion of J in U 11.949 * [backup-simplify]: Simplify J into J 11.949 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 11.949 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 11.949 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 11.949 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 11.949 * [taylor]: Taking taylor expansion of -1/2 in U 11.949 * [backup-simplify]: Simplify -1/2 into -1/2 11.949 * [taylor]: Taking taylor expansion of K in U 11.949 * [backup-simplify]: Simplify K into K 11.949 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.949 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.949 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.949 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.949 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.949 * [backup-simplify]: Simplify (- 0) into 0 11.949 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.949 * [taylor]: Taking taylor expansion of (pow U 2) in U 11.949 * [taylor]: Taking taylor expansion of U in U 11.949 * [backup-simplify]: Simplify 0 into 0 11.949 * [backup-simplify]: Simplify 1 into 1 11.949 * [backup-simplify]: Simplify (* J J) into (pow J 2) 11.950 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.950 * [backup-simplify]: Simplify (* 1 1) into 1 11.950 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 11.950 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 11.950 * [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))) 11.950 * [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))) 11.950 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 11.951 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 11.951 * [backup-simplify]: Simplify (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 11.951 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 11.951 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J 11.951 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 11.951 * [taylor]: Taking taylor expansion of 1/3 in J 11.951 * [backup-simplify]: Simplify 1/3 into 1/3 11.951 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 11.951 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 11.951 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 11.951 * [taylor]: Taking taylor expansion of 1/4 in J 11.951 * [backup-simplify]: Simplify 1/4 into 1/4 11.951 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 11.951 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.951 * [taylor]: Taking taylor expansion of J in J 11.951 * [backup-simplify]: Simplify 0 into 0 11.951 * [backup-simplify]: Simplify 1 into 1 11.951 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 11.951 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 11.951 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 11.951 * [taylor]: Taking taylor expansion of -1/2 in J 11.951 * [backup-simplify]: Simplify -1/2 into -1/2 11.952 * [taylor]: Taking taylor expansion of K in J 11.952 * [backup-simplify]: Simplify K into K 11.952 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.952 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.952 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.952 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.952 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.952 * [backup-simplify]: Simplify (- 0) into 0 11.952 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.952 * [backup-simplify]: Simplify (* 1 1) into 1 11.952 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.952 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 11.953 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 11.953 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 11.953 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 11.953 * [taylor]: Taking taylor expansion of 2 in J 11.953 * [backup-simplify]: Simplify 2 into 2 11.953 * [taylor]: Taking taylor expansion of (log U) in J 11.953 * [taylor]: Taking taylor expansion of U in J 11.953 * [backup-simplify]: Simplify U into U 11.953 * [backup-simplify]: Simplify (log U) into (log U) 11.953 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) 11.953 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 11.953 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 11.953 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 11.954 * [backup-simplify]: Simplify (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 11.954 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 11.954 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in K 11.954 * [taylor]: Taking taylor expansion of (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in K 11.954 * [taylor]: Taking taylor expansion of 1/3 in K 11.954 * [backup-simplify]: Simplify 1/3 into 1/3 11.954 * [taylor]: Taking taylor expansion of (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in K 11.954 * [taylor]: Taking taylor expansion of (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) in K 11.954 * [taylor]: Taking taylor expansion of (* 2 (log J)) in K 11.954 * [taylor]: Taking taylor expansion of 2 in K 11.954 * [backup-simplify]: Simplify 2 into 2 11.954 * [taylor]: Taking taylor expansion of (log J) in K 11.954 * [taylor]: Taking taylor expansion of J in K 11.954 * [backup-simplify]: Simplify J into J 11.954 * [backup-simplify]: Simplify (log J) into (log J) 11.954 * [taylor]: Taking taylor expansion of (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) in K 11.954 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ -1/2 K)) 2)) in K 11.954 * [taylor]: Taking taylor expansion of 1/4 in K 11.954 * [backup-simplify]: Simplify 1/4 into 1/4 11.954 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 11.954 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 11.954 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 11.954 * [taylor]: Taking taylor expansion of -1/2 in K 11.954 * [backup-simplify]: Simplify -1/2 into -1/2 11.954 * [taylor]: Taking taylor expansion of K in K 11.954 * [backup-simplify]: Simplify 0 into 0 11.954 * [backup-simplify]: Simplify 1 into 1 11.954 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 11.954 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.955 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.955 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 11.955 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 11.955 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 11.955 * [taylor]: Taking taylor expansion of 2 in K 11.955 * [backup-simplify]: Simplify 2 into 2 11.955 * [taylor]: Taking taylor expansion of (log U) in K 11.955 * [taylor]: Taking taylor expansion of U in K 11.955 * [backup-simplify]: Simplify U into U 11.955 * [backup-simplify]: Simplify (log U) into (log U) 11.955 * [backup-simplify]: Simplify (* 2 (log J)) into (* 2 (log J)) 11.955 * [backup-simplify]: Simplify (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) 11.955 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 11.955 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 11.955 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 11.955 * [backup-simplify]: Simplify (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 11.956 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 11.956 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 11.956 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 11.956 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.957 * [backup-simplify]: Simplify (+ 0) into 0 11.957 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 11.957 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 11.957 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.958 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 11.958 * [backup-simplify]: Simplify (- 0) into 0 11.958 * [backup-simplify]: Simplify (+ 0 0) into 0 11.958 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.963 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 11.964 * [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 11.965 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 11.965 * [backup-simplify]: Simplify (+ 0 0) into 0 11.966 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 1) into 0 11.967 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 11.968 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 11.969 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.969 * [taylor]: Taking taylor expansion of 0 in J 11.969 * [backup-simplify]: Simplify 0 into 0 11.969 * [taylor]: Taking taylor expansion of 0 in K 11.969 * [backup-simplify]: Simplify 0 into 0 11.969 * [backup-simplify]: Simplify 0 into 0 11.970 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.970 * [backup-simplify]: Simplify (+ 0) into 0 11.971 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 11.971 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 11.972 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.972 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 11.972 * [backup-simplify]: Simplify (- 0) into 0 11.972 * [backup-simplify]: Simplify (+ 0 0) into 0 11.973 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.973 * [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 11.973 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 11.974 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 11.974 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 11.974 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 11.975 * [backup-simplify]: Simplify (- 0) into 0 11.975 * [backup-simplify]: Simplify (+ 0 0) into 0 11.975 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 11.976 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.976 * [taylor]: Taking taylor expansion of 0 in K 11.976 * [backup-simplify]: Simplify 0 into 0 11.976 * [backup-simplify]: Simplify 0 into 0 11.977 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 11.977 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log J))) into 0 11.977 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.977 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 11.978 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 11.978 * [backup-simplify]: Simplify (+ 0 0) into 0 11.978 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 11.979 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 11.979 * [backup-simplify]: Simplify (- 0) into 0 11.979 * [backup-simplify]: Simplify (+ 0 0) into 0 11.980 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 11.980 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.980 * [backup-simplify]: Simplify 0 into 0 11.981 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 11.981 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.982 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.982 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 11.982 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.983 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.983 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 11.984 * [backup-simplify]: Simplify (- 0) into 0 11.984 * [backup-simplify]: Simplify (+ 0 0) into 0 11.984 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 11.985 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 11.985 * [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 11.986 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 11.986 * [backup-simplify]: Simplify (+ 1 0) into 1 11.987 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 2) into (* 4 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 11.988 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 11.988 * [backup-simplify]: Simplify (+ (* 1/3 (* 4 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (* 4/3 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 11.989 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 4/3 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 1) 1)))) into (* 4/3 (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2))) 11.989 * [taylor]: Taking taylor expansion of (* 4/3 (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2))) in J 11.989 * [taylor]: Taking taylor expansion of 4/3 in J 11.989 * [backup-simplify]: Simplify 4/3 into 4/3 11.989 * [taylor]: Taking taylor expansion of (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) in J 11.989 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) in J 11.989 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 11.989 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 11.989 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 11.989 * [taylor]: Taking taylor expansion of -1/2 in J 11.989 * [backup-simplify]: Simplify -1/2 into -1/2 11.989 * [taylor]: Taking taylor expansion of K in J 11.989 * [backup-simplify]: Simplify K into K 11.989 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.990 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.990 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.990 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.990 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.990 * [backup-simplify]: Simplify (- 0) into 0 11.990 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.990 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J 11.990 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 11.990 * [taylor]: Taking taylor expansion of 1/3 in J 11.990 * [backup-simplify]: Simplify 1/3 into 1/3 11.990 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 11.990 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 11.990 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 11.990 * [taylor]: Taking taylor expansion of 1/4 in J 11.990 * [backup-simplify]: Simplify 1/4 into 1/4 11.990 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 11.990 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.990 * [taylor]: Taking taylor expansion of J in J 11.990 * [backup-simplify]: Simplify 0 into 0 11.990 * [backup-simplify]: Simplify 1 into 1 11.990 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 11.990 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 11.990 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 11.990 * [taylor]: Taking taylor expansion of -1/2 in J 11.990 * [backup-simplify]: Simplify -1/2 into -1/2 11.990 * [taylor]: Taking taylor expansion of K in J 11.990 * [backup-simplify]: Simplify K into K 11.990 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 11.990 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 11.990 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 11.991 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 11.991 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 11.991 * [backup-simplify]: Simplify (- 0) into 0 11.991 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 11.991 * [backup-simplify]: Simplify (* 1 1) into 1 11.991 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.991 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 11.991 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 11.991 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 11.991 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 11.991 * [taylor]: Taking taylor expansion of 2 in J 11.992 * [backup-simplify]: Simplify 2 into 2 11.992 * [taylor]: Taking taylor expansion of (log U) in J 11.992 * [taylor]: Taking taylor expansion of U in J 11.992 * [backup-simplify]: Simplify U into U 11.992 * [backup-simplify]: Simplify (log U) into (log U) 11.992 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) 11.992 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 11.992 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 11.992 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 11.992 * [backup-simplify]: Simplify (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 11.993 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 11.993 * [taylor]: Taking taylor expansion of (pow J 2) in J 11.993 * [taylor]: Taking taylor expansion of J in J 11.993 * [backup-simplify]: Simplify 0 into 0 11.993 * [backup-simplify]: Simplify 1 into 1 11.993 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 11.993 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 11.993 * [backup-simplify]: Simplify (* 1 1) into 1 11.993 * [backup-simplify]: Simplify (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 1) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 11.994 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.994 * [backup-simplify]: Simplify (+ 0) into 0 11.994 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 11.995 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 11.995 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.995 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 11.996 * [backup-simplify]: Simplify (- 0) into 0 11.996 * [backup-simplify]: Simplify (+ 0 0) into 0 11.996 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 11.996 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 11.996 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 11.997 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 11.997 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 11.998 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 11.998 * [backup-simplify]: Simplify (- 0) into 0 11.998 * [backup-simplify]: Simplify (+ 0 0) into 0 11.999 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 11.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.000 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.001 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.001 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.002 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.002 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 12.003 * [backup-simplify]: Simplify (- 0) into 0 12.003 * [backup-simplify]: Simplify (+ 0 0) into 0 12.004 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 12.004 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 12.005 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 12.007 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 2) into 0 12.008 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 12.009 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 12.009 * [backup-simplify]: Simplify (- 0) into 0 12.010 * [backup-simplify]: Simplify (+ 0 0) into 0 12.011 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 12.012 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.013 * [backup-simplify]: Simplify (+ 0) into 0 12.013 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 12.013 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 12.014 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.015 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 12.015 * [backup-simplify]: Simplify (- 0) into 0 12.015 * [backup-simplify]: Simplify (+ 0 0) into 0 12.015 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 12.017 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 12.017 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.018 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.018 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.019 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.020 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 12.020 * [backup-simplify]: Simplify (- 0) into 0 12.020 * [backup-simplify]: Simplify (+ 0 0) into 0 12.021 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 12.022 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))))) into 0 12.022 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.023 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))))) into 0 12.023 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.025 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)))) into 0 12.026 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.028 * [backup-simplify]: Simplify (+ (* 4/3 0) (+ (* 0 0) (* 0 (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))))))) into 0 12.028 * [taylor]: Taking taylor expansion of 0 in K 12.028 * [backup-simplify]: Simplify 0 into 0 12.028 * [backup-simplify]: Simplify 0 into 0 12.028 * [taylor]: Taking taylor expansion of 0 in K 12.028 * [backup-simplify]: Simplify 0 into 0 12.028 * [backup-simplify]: Simplify 0 into 0 12.029 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.030 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.030 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.031 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.031 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.032 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 12.033 * [backup-simplify]: Simplify (- 0) into 0 12.033 * [backup-simplify]: Simplify (+ 0 0) into 0 12.033 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 12.034 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 12.035 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 12.036 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 2) into 0 12.038 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 12.039 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 12.039 * [backup-simplify]: Simplify (- 0) into 0 12.040 * [backup-simplify]: Simplify (+ 0 0) into 0 12.041 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 12.042 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.042 * [taylor]: Taking taylor expansion of 0 in K 12.042 * [backup-simplify]: Simplify 0 into 0 12.042 * [backup-simplify]: Simplify 0 into 0 12.043 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log (/ 1 (- J)))) (log (/ 1/4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)))) (* 2 (log (/ 1 (- U))))))) into (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ -1 J)))) (* 2 (log (/ -1 U)))))) 12.043 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 12.043 * [backup-simplify]: Simplify (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) into (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/3) 12.043 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/3) in (U J K) around 0 12.043 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/3) in K 12.043 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in K 12.043 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in K 12.043 * [taylor]: Taking taylor expansion of 1/3 in K 12.043 * [backup-simplify]: Simplify 1/3 into 1/3 12.043 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 12.044 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 12.044 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 12.044 * [taylor]: Taking taylor expansion of 1/4 in K 12.044 * [backup-simplify]: Simplify 1/4 into 1/4 12.044 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 12.044 * [taylor]: Taking taylor expansion of (pow U 2) in K 12.044 * [taylor]: Taking taylor expansion of U in K 12.044 * [backup-simplify]: Simplify U into U 12.044 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 12.044 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 12.044 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 12.044 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 12.044 * [taylor]: Taking taylor expansion of 1/2 in K 12.044 * [backup-simplify]: Simplify 1/2 into 1/2 12.044 * [taylor]: Taking taylor expansion of K in K 12.044 * [backup-simplify]: Simplify 0 into 0 12.044 * [backup-simplify]: Simplify 1 into 1 12.045 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.045 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 12.045 * [taylor]: Taking taylor expansion of (pow J 2) in K 12.045 * [taylor]: Taking taylor expansion of J in K 12.045 * [backup-simplify]: Simplify J into J 12.046 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.046 * [backup-simplify]: Simplify (* 1 1) into 1 12.046 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.046 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 12.046 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 12.046 * [taylor]: Taking taylor expansion of 1 in K 12.046 * [backup-simplify]: Simplify 1 into 1 12.046 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 12.047 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 12.047 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 12.047 * [backup-simplify]: Simplify (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) 12.047 * [backup-simplify]: Simplify (exp (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/3) 12.047 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/3) in J 12.047 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J 12.047 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J 12.047 * [taylor]: Taking taylor expansion of 1/3 in J 12.048 * [backup-simplify]: Simplify 1/3 into 1/3 12.048 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 12.048 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 12.048 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 12.048 * [taylor]: Taking taylor expansion of 1/4 in J 12.048 * [backup-simplify]: Simplify 1/4 into 1/4 12.048 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 12.048 * [taylor]: Taking taylor expansion of (pow U 2) in J 12.048 * [taylor]: Taking taylor expansion of U in J 12.048 * [backup-simplify]: Simplify U into U 12.048 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 12.048 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 12.048 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 12.048 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 12.048 * [taylor]: Taking taylor expansion of 1/2 in J 12.048 * [backup-simplify]: Simplify 1/2 into 1/2 12.048 * [taylor]: Taking taylor expansion of K in J 12.048 * [backup-simplify]: Simplify K into K 12.048 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 12.048 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 12.048 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 12.048 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 12.048 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 12.049 * [backup-simplify]: Simplify (- 0) into 0 12.049 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 12.049 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.049 * [taylor]: Taking taylor expansion of J in J 12.049 * [backup-simplify]: Simplify 0 into 0 12.049 * [backup-simplify]: Simplify 1 into 1 12.049 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.049 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 12.050 * [backup-simplify]: Simplify (* 1 1) into 1 12.050 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 12.050 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 12.050 * [taylor]: Taking taylor expansion of 1 in J 12.050 * [backup-simplify]: Simplify 1 into 1 12.050 * [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))) 12.051 * [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))) 12.051 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) 12.051 * [backup-simplify]: Simplify (+ (* (- 2) (log J)) (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))) 12.052 * [backup-simplify]: Simplify (* 1/3 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) into (* 1/3 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) 12.052 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) into (exp (* 1/3 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) 12.052 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/3) in U 12.052 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 12.052 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 12.052 * [taylor]: Taking taylor expansion of 1/3 in U 12.052 * [backup-simplify]: Simplify 1/3 into 1/3 12.052 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 12.052 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 12.052 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 12.052 * [taylor]: Taking taylor expansion of 1/4 in U 12.052 * [backup-simplify]: Simplify 1/4 into 1/4 12.052 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 12.052 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.052 * [taylor]: Taking taylor expansion of U in U 12.052 * [backup-simplify]: Simplify 0 into 0 12.052 * [backup-simplify]: Simplify 1 into 1 12.052 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 12.053 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 12.053 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 12.053 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 12.053 * [taylor]: Taking taylor expansion of 1/2 in U 12.053 * [backup-simplify]: Simplify 1/2 into 1/2 12.053 * [taylor]: Taking taylor expansion of K in U 12.053 * [backup-simplify]: Simplify K into K 12.053 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 12.053 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 12.053 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 12.053 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 12.053 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 12.053 * [backup-simplify]: Simplify (- 0) into 0 12.053 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 12.054 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.054 * [taylor]: Taking taylor expansion of J in U 12.054 * [backup-simplify]: Simplify J into J 12.054 * [backup-simplify]: Simplify (* 1 1) into 1 12.054 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 12.054 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.054 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 12.054 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 12.054 * [taylor]: Taking taylor expansion of 1 in U 12.055 * [backup-simplify]: Simplify 1 into 1 12.055 * [backup-simplify]: Simplify (+ 0 1) into 1 12.055 * [backup-simplify]: Simplify (log 1) into 0 12.056 * [backup-simplify]: Simplify (* 1/3 0) into 0 12.056 * [backup-simplify]: Simplify (+ 0 0) into 0 12.057 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 12.058 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 12.058 * [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))) 12.058 * [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)))) 12.060 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 12.061 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/12 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 12.061 * [backup-simplify]: Simplify (exp 0) into 1 12.061 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/3) in U 12.061 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 12.061 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 12.061 * [taylor]: Taking taylor expansion of 1/3 in U 12.061 * [backup-simplify]: Simplify 1/3 into 1/3 12.061 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 12.061 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 12.061 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 12.061 * [taylor]: Taking taylor expansion of 1/4 in U 12.061 * [backup-simplify]: Simplify 1/4 into 1/4 12.061 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 12.061 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.061 * [taylor]: Taking taylor expansion of U in U 12.061 * [backup-simplify]: Simplify 0 into 0 12.061 * [backup-simplify]: Simplify 1 into 1 12.061 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 12.061 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 12.061 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 12.061 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 12.061 * [taylor]: Taking taylor expansion of 1/2 in U 12.061 * [backup-simplify]: Simplify 1/2 into 1/2 12.061 * [taylor]: Taking taylor expansion of K in U 12.061 * [backup-simplify]: Simplify K into K 12.061 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 12.061 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 12.061 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 12.061 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 12.061 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 12.061 * [backup-simplify]: Simplify (- 0) into 0 12.062 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 12.062 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.062 * [taylor]: Taking taylor expansion of J in U 12.062 * [backup-simplify]: Simplify J into J 12.062 * [backup-simplify]: Simplify (* 1 1) into 1 12.062 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 12.062 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.062 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 12.062 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 12.062 * [taylor]: Taking taylor expansion of 1 in U 12.062 * [backup-simplify]: Simplify 1 into 1 12.063 * [backup-simplify]: Simplify (+ 0 1) into 1 12.063 * [backup-simplify]: Simplify (log 1) into 0 12.063 * [backup-simplify]: Simplify (* 1/3 0) into 0 12.063 * [backup-simplify]: Simplify (+ 0 0) into 0 12.064 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 12.064 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 12.065 * [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))) 12.065 * [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)))) 12.066 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 12.066 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/12 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 12.066 * [backup-simplify]: Simplify (exp 0) into 1 12.066 * [taylor]: Taking taylor expansion of 1 in J 12.067 * [backup-simplify]: Simplify 1 into 1 12.067 * [taylor]: Taking taylor expansion of 1 in K 12.067 * [backup-simplify]: Simplify 1 into 1 12.067 * [backup-simplify]: Simplify 1 into 1 12.067 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 12.067 * [taylor]: Taking taylor expansion of 0 in J 12.067 * [backup-simplify]: Simplify 0 into 0 12.067 * [taylor]: Taking taylor expansion of 0 in K 12.067 * [backup-simplify]: Simplify 0 into 0 12.067 * [backup-simplify]: Simplify 0 into 0 12.067 * [taylor]: Taking taylor expansion of 0 in K 12.067 * [backup-simplify]: Simplify 0 into 0 12.067 * [backup-simplify]: Simplify 0 into 0 12.067 * [backup-simplify]: Simplify 0 into 0 12.068 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/12 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1)))) into (/ 1/12 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 12.068 * [taylor]: Taking taylor expansion of (/ 1/12 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 12.068 * [taylor]: Taking taylor expansion of 1/12 in J 12.068 * [backup-simplify]: Simplify 1/12 into 1/12 12.068 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 12.068 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 12.068 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 12.068 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 12.068 * [taylor]: Taking taylor expansion of 1/2 in J 12.068 * [backup-simplify]: Simplify 1/2 into 1/2 12.068 * [taylor]: Taking taylor expansion of K in J 12.068 * [backup-simplify]: Simplify K into K 12.068 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 12.068 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 12.068 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 12.068 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 12.068 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 12.069 * [backup-simplify]: Simplify (- 0) into 0 12.069 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 12.069 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.069 * [taylor]: Taking taylor expansion of J in J 12.069 * [backup-simplify]: Simplify 0 into 0 12.069 * [backup-simplify]: Simplify 1 into 1 12.069 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 12.069 * [backup-simplify]: Simplify (* 1 1) into 1 12.069 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 12.069 * [backup-simplify]: Simplify (/ 1/12 (pow (cos (* 1/2 K)) 2)) into (/ 1/12 (pow (cos (* 1/2 K)) 2)) 12.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.070 * [backup-simplify]: Simplify (+ 0) into 0 12.070 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 12.071 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 12.071 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.072 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 12.072 * [backup-simplify]: Simplify (- 0) into 0 12.072 * [backup-simplify]: Simplify (+ 0 0) into 0 12.072 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 12.072 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.073 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.073 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.074 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 12.074 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.075 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 12.075 * [backup-simplify]: Simplify (- 0) into 0 12.075 * [backup-simplify]: Simplify (+ 0 0) into 0 12.076 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 12.076 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 12.076 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 12.077 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/12 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 12.077 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/12 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 12.077 * [taylor]: Taking taylor expansion of 0 in K 12.077 * [backup-simplify]: Simplify 0 into 0 12.077 * [backup-simplify]: Simplify 0 into 0 12.077 * [taylor]: Taking taylor expansion of 0 in K 12.077 * [backup-simplify]: Simplify 0 into 0 12.077 * [backup-simplify]: Simplify 0 into 0 12.077 * [taylor]: Taking taylor expansion of 0 in K 12.077 * [backup-simplify]: Simplify 0 into 0 12.077 * [backup-simplify]: Simplify 0 into 0 12.077 * [backup-simplify]: Simplify 1 into 1 12.077 * [backup-simplify]: Simplify (cbrt (+ (* (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) 1)) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) 12.078 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) in (U J K) around 0 12.078 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) in K 12.078 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in K 12.078 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in K 12.078 * [taylor]: Taking taylor expansion of 1/3 in K 12.078 * [backup-simplify]: Simplify 1/3 into 1/3 12.078 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 12.078 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 12.078 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 12.078 * [taylor]: Taking taylor expansion of 1/4 in K 12.078 * [backup-simplify]: Simplify 1/4 into 1/4 12.078 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 12.078 * [taylor]: Taking taylor expansion of (pow J 2) in K 12.078 * [taylor]: Taking taylor expansion of J in K 12.078 * [backup-simplify]: Simplify J into J 12.078 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 12.078 * [taylor]: Taking taylor expansion of (pow U 2) in K 12.078 * [taylor]: Taking taylor expansion of U in K 12.078 * [backup-simplify]: Simplify U into U 12.078 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 12.078 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 12.078 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 12.078 * [taylor]: Taking taylor expansion of 1/2 in K 12.078 * [backup-simplify]: Simplify 1/2 into 1/2 12.078 * [taylor]: Taking taylor expansion of K in K 12.078 * [backup-simplify]: Simplify 0 into 0 12.078 * [backup-simplify]: Simplify 1 into 1 12.078 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.078 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.078 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.078 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.078 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.079 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 12.079 * [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))) 12.079 * [taylor]: Taking taylor expansion of 1 in K 12.079 * [backup-simplify]: Simplify 1 into 1 12.079 * [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)))) 12.079 * [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) 12.079 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 12.080 * [backup-simplify]: Simplify (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) 12.080 * [backup-simplify]: Simplify (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) 12.080 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) in J 12.080 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in J 12.080 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in J 12.080 * [taylor]: Taking taylor expansion of 1/3 in J 12.080 * [backup-simplify]: Simplify 1/3 into 1/3 12.080 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 12.080 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 12.080 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 12.080 * [taylor]: Taking taylor expansion of 1/4 in J 12.080 * [backup-simplify]: Simplify 1/4 into 1/4 12.080 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 12.080 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.080 * [taylor]: Taking taylor expansion of J in J 12.080 * [backup-simplify]: Simplify 0 into 0 12.080 * [backup-simplify]: Simplify 1 into 1 12.080 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 12.080 * [taylor]: Taking taylor expansion of (pow U 2) in J 12.080 * [taylor]: Taking taylor expansion of U in J 12.080 * [backup-simplify]: Simplify U into U 12.080 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 12.080 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 12.080 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 12.080 * [taylor]: Taking taylor expansion of 1/2 in J 12.080 * [backup-simplify]: Simplify 1/2 into 1/2 12.080 * [taylor]: Taking taylor expansion of K in J 12.080 * [backup-simplify]: Simplify K into K 12.080 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.080 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.080 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.080 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.080 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.085 * [backup-simplify]: Simplify (- 0) into 0 12.085 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.085 * [backup-simplify]: Simplify (* 1 1) into 1 12.086 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.086 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.086 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 12.086 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 12.086 * [taylor]: Taking taylor expansion of 1 in J 12.086 * [backup-simplify]: Simplify 1 into 1 12.086 * [backup-simplify]: Simplify (+ 0 1) into 1 12.087 * [backup-simplify]: Simplify (log 1) into 0 12.087 * [backup-simplify]: Simplify (* 1/3 0) into 0 12.087 * [backup-simplify]: Simplify (+ 0 0) into 0 12.088 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 12.088 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 12.089 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 12.089 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 12.090 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 12.091 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (+ (* 0 0) (* 0 0))) into (* 1/12 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 12.091 * [backup-simplify]: Simplify (exp 0) into 1 12.091 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) in U 12.091 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U 12.091 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U 12.091 * [taylor]: Taking taylor expansion of 1/3 in U 12.091 * [backup-simplify]: Simplify 1/3 into 1/3 12.091 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 12.091 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 12.091 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 12.091 * [taylor]: Taking taylor expansion of 1/4 in U 12.091 * [backup-simplify]: Simplify 1/4 into 1/4 12.091 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 12.091 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.091 * [taylor]: Taking taylor expansion of J in U 12.091 * [backup-simplify]: Simplify J into J 12.091 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 12.091 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.091 * [taylor]: Taking taylor expansion of U in U 12.091 * [backup-simplify]: Simplify 0 into 0 12.091 * [backup-simplify]: Simplify 1 into 1 12.091 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 12.091 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 12.091 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 12.091 * [taylor]: Taking taylor expansion of 1/2 in U 12.091 * [backup-simplify]: Simplify 1/2 into 1/2 12.091 * [taylor]: Taking taylor expansion of K in U 12.091 * [backup-simplify]: Simplify K into K 12.091 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.091 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.091 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.091 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.092 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.092 * [backup-simplify]: Simplify (- 0) into 0 12.092 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.092 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.092 * [backup-simplify]: Simplify (* 1 1) into 1 12.092 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.092 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 12.092 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 12.092 * [taylor]: Taking taylor expansion of 1 in U 12.092 * [backup-simplify]: Simplify 1 into 1 12.093 * [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))) 12.093 * [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))) 12.093 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 12.093 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 12.093 * [backup-simplify]: Simplify (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 12.094 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 12.094 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) in U 12.094 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U 12.094 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U 12.094 * [taylor]: Taking taylor expansion of 1/3 in U 12.094 * [backup-simplify]: Simplify 1/3 into 1/3 12.094 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 12.094 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 12.094 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 12.094 * [taylor]: Taking taylor expansion of 1/4 in U 12.094 * [backup-simplify]: Simplify 1/4 into 1/4 12.094 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 12.094 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.094 * [taylor]: Taking taylor expansion of J in U 12.094 * [backup-simplify]: Simplify J into J 12.094 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 12.094 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.094 * [taylor]: Taking taylor expansion of U in U 12.094 * [backup-simplify]: Simplify 0 into 0 12.094 * [backup-simplify]: Simplify 1 into 1 12.094 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 12.094 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 12.094 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 12.094 * [taylor]: Taking taylor expansion of 1/2 in U 12.094 * [backup-simplify]: Simplify 1/2 into 1/2 12.094 * [taylor]: Taking taylor expansion of K in U 12.094 * [backup-simplify]: Simplify K into K 12.094 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.094 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.094 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.094 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.094 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.095 * [backup-simplify]: Simplify (- 0) into 0 12.095 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.095 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.095 * [backup-simplify]: Simplify (* 1 1) into 1 12.095 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.095 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 12.095 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 12.095 * [taylor]: Taking taylor expansion of 1 in U 12.095 * [backup-simplify]: Simplify 1 into 1 12.095 * [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))) 12.095 * [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))) 12.096 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 12.096 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 12.097 * [backup-simplify]: Simplify (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 12.097 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 12.097 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J 12.097 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 12.097 * [taylor]: Taking taylor expansion of 1/3 in J 12.097 * [backup-simplify]: Simplify 1/3 into 1/3 12.097 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 12.097 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 12.097 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 12.097 * [taylor]: Taking taylor expansion of 1/4 in J 12.097 * [backup-simplify]: Simplify 1/4 into 1/4 12.097 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 12.097 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.097 * [taylor]: Taking taylor expansion of J in J 12.097 * [backup-simplify]: Simplify 0 into 0 12.097 * [backup-simplify]: Simplify 1 into 1 12.097 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 12.097 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 12.097 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 12.097 * [taylor]: Taking taylor expansion of 1/2 in J 12.097 * [backup-simplify]: Simplify 1/2 into 1/2 12.097 * [taylor]: Taking taylor expansion of K in J 12.097 * [backup-simplify]: Simplify K into K 12.097 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.098 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.098 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.098 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.098 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.098 * [backup-simplify]: Simplify (- 0) into 0 12.098 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.099 * [backup-simplify]: Simplify (* 1 1) into 1 12.099 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.099 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 12.099 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 12.099 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 12.099 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 12.099 * [taylor]: Taking taylor expansion of 2 in J 12.099 * [backup-simplify]: Simplify 2 into 2 12.099 * [taylor]: Taking taylor expansion of (log U) in J 12.099 * [taylor]: Taking taylor expansion of U in J 12.099 * [backup-simplify]: Simplify U into U 12.099 * [backup-simplify]: Simplify (log U) into (log U) 12.100 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) 12.100 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 12.100 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 12.100 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 12.101 * [backup-simplify]: Simplify (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 12.101 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 12.101 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in K 12.101 * [taylor]: Taking taylor expansion of (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in K 12.101 * [taylor]: Taking taylor expansion of 1/3 in K 12.101 * [backup-simplify]: Simplify 1/3 into 1/3 12.101 * [taylor]: Taking taylor expansion of (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in K 12.101 * [taylor]: Taking taylor expansion of (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) in K 12.101 * [taylor]: Taking taylor expansion of (* 2 (log J)) in K 12.101 * [taylor]: Taking taylor expansion of 2 in K 12.101 * [backup-simplify]: Simplify 2 into 2 12.101 * [taylor]: Taking taylor expansion of (log J) in K 12.101 * [taylor]: Taking taylor expansion of J in K 12.101 * [backup-simplify]: Simplify J into J 12.101 * [backup-simplify]: Simplify (log J) into (log J) 12.101 * [taylor]: Taking taylor expansion of (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) in K 12.101 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ 1/2 K)) 2)) in K 12.101 * [taylor]: Taking taylor expansion of 1/4 in K 12.101 * [backup-simplify]: Simplify 1/4 into 1/4 12.101 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 12.101 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 12.101 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 12.102 * [taylor]: Taking taylor expansion of 1/2 in K 12.102 * [backup-simplify]: Simplify 1/2 into 1/2 12.102 * [taylor]: Taking taylor expansion of K in K 12.102 * [backup-simplify]: Simplify 0 into 0 12.102 * [backup-simplify]: Simplify 1 into 1 12.102 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.102 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.102 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.102 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 12.103 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 12.103 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 12.103 * [taylor]: Taking taylor expansion of 2 in K 12.103 * [backup-simplify]: Simplify 2 into 2 12.103 * [taylor]: Taking taylor expansion of (log U) in K 12.103 * [taylor]: Taking taylor expansion of U in K 12.103 * [backup-simplify]: Simplify U into U 12.103 * [backup-simplify]: Simplify (log U) into (log U) 12.103 * [backup-simplify]: Simplify (* 2 (log J)) into (* 2 (log J)) 12.103 * [backup-simplify]: Simplify (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) 12.103 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 12.103 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 12.103 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 12.104 * [backup-simplify]: Simplify (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 12.104 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 12.104 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 12.105 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.105 * [backup-simplify]: Simplify (+ 0) into 0 12.106 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 12.106 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 12.107 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.107 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 12.107 * [backup-simplify]: Simplify (- 0) into 0 12.108 * [backup-simplify]: Simplify (+ 0 0) into 0 12.108 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 12.109 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.109 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 12.110 * [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 12.110 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 12.111 * [backup-simplify]: Simplify (+ 0 0) into 0 12.111 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 1) into 0 12.112 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 12.113 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 12.114 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 12.114 * [taylor]: Taking taylor expansion of 0 in J 12.114 * [backup-simplify]: Simplify 0 into 0 12.114 * [taylor]: Taking taylor expansion of 0 in K 12.114 * [backup-simplify]: Simplify 0 into 0 12.114 * [backup-simplify]: Simplify 0 into 0 12.115 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.115 * [backup-simplify]: Simplify (+ 0) into 0 12.115 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 12.116 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 12.117 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.117 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 12.117 * [backup-simplify]: Simplify (- 0) into 0 12.118 * [backup-simplify]: Simplify (+ 0 0) into 0 12.118 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 12.118 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 12.119 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 12.120 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 12.120 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 12.121 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 12.121 * [backup-simplify]: Simplify (- 0) into 0 12.121 * [backup-simplify]: Simplify (+ 0 0) into 0 12.122 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 12.123 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 12.123 * [taylor]: Taking taylor expansion of 0 in K 12.123 * [backup-simplify]: Simplify 0 into 0 12.123 * [backup-simplify]: Simplify 0 into 0 12.124 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 12.124 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log J))) into 0 12.124 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 12.124 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 12.125 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 12.125 * [backup-simplify]: Simplify (+ 0 0) into 0 12.126 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 12.126 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 12.126 * [backup-simplify]: Simplify (- 0) into 0 12.127 * [backup-simplify]: Simplify (+ 0 0) into 0 12.127 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 12.128 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 12.128 * [backup-simplify]: Simplify 0 into 0 12.128 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 12.129 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.129 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.129 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.130 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.130 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 12.130 * [backup-simplify]: Simplify (- 0) into 0 12.130 * [backup-simplify]: Simplify (+ 0 0) into 0 12.131 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 12.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 12.132 * [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 12.133 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 12.133 * [backup-simplify]: Simplify (+ 0 1) into 1 12.134 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 2) into (* 4 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 12.135 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 12.135 * [backup-simplify]: Simplify (+ (* 1/3 (* 4 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into (* 4/3 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 12.136 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 4/3 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 1) 1)))) into (* 4/3 (/ (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2))) 12.136 * [taylor]: Taking taylor expansion of (* 4/3 (/ (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2))) in J 12.136 * [taylor]: Taking taylor expansion of 4/3 in J 12.136 * [backup-simplify]: Simplify 4/3 into 4/3 12.136 * [taylor]: Taking taylor expansion of (/ (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) in J 12.136 * [taylor]: Taking taylor expansion of (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) in J 12.136 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J 12.136 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 12.136 * [taylor]: Taking taylor expansion of 1/3 in J 12.136 * [backup-simplify]: Simplify 1/3 into 1/3 12.136 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 12.136 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 12.136 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 12.136 * [taylor]: Taking taylor expansion of 1/4 in J 12.136 * [backup-simplify]: Simplify 1/4 into 1/4 12.136 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 12.136 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.136 * [taylor]: Taking taylor expansion of J in J 12.136 * [backup-simplify]: Simplify 0 into 0 12.136 * [backup-simplify]: Simplify 1 into 1 12.136 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 12.136 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 12.136 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 12.136 * [taylor]: Taking taylor expansion of 1/2 in J 12.136 * [backup-simplify]: Simplify 1/2 into 1/2 12.136 * [taylor]: Taking taylor expansion of K in J 12.136 * [backup-simplify]: Simplify K into K 12.136 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.136 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.137 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.137 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.137 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.137 * [backup-simplify]: Simplify (- 0) into 0 12.137 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.137 * [backup-simplify]: Simplify (* 1 1) into 1 12.137 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.137 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 12.137 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 12.138 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 12.138 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 12.138 * [taylor]: Taking taylor expansion of 2 in J 12.138 * [backup-simplify]: Simplify 2 into 2 12.138 * [taylor]: Taking taylor expansion of (log U) in J 12.138 * [taylor]: Taking taylor expansion of U in J 12.138 * [backup-simplify]: Simplify U into U 12.138 * [backup-simplify]: Simplify (log U) into (log U) 12.138 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) 12.138 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 12.138 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 12.138 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 12.138 * [backup-simplify]: Simplify (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 12.139 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 12.139 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 12.139 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 12.139 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 12.139 * [taylor]: Taking taylor expansion of 1/2 in J 12.139 * [backup-simplify]: Simplify 1/2 into 1/2 12.139 * [taylor]: Taking taylor expansion of K in J 12.139 * [backup-simplify]: Simplify K into K 12.139 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.139 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.139 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.139 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.139 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.139 * [backup-simplify]: Simplify (- 0) into 0 12.139 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.139 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.139 * [taylor]: Taking taylor expansion of J in J 12.139 * [backup-simplify]: Simplify 0 into 0 12.140 * [backup-simplify]: Simplify 1 into 1 12.140 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.140 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) into (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 12.140 * [backup-simplify]: Simplify (* 1 1) into 1 12.140 * [backup-simplify]: Simplify (/ (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 1) into (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 12.141 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 12.141 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.141 * [backup-simplify]: Simplify (+ 0) into 0 12.142 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.142 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.142 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.143 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.143 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 12.144 * [backup-simplify]: Simplify (- 0) into 0 12.144 * [backup-simplify]: Simplify (+ 0 0) into 0 12.144 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 12.145 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 12.145 * [backup-simplify]: Simplify (- 0) into 0 12.145 * [backup-simplify]: Simplify (+ 0 0) into 0 12.145 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 12.146 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.146 * [backup-simplify]: Simplify (+ 0) into 0 12.146 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 12.146 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 12.147 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.147 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 12.147 * [backup-simplify]: Simplify (- 0) into 0 12.148 * [backup-simplify]: Simplify (+ 0 0) into 0 12.148 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 12.148 * [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 12.148 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 12.149 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 12.149 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 12.150 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 12.150 * [backup-simplify]: Simplify (- 0) into 0 12.150 * [backup-simplify]: Simplify (+ 0 0) into 0 12.151 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 12.151 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 12.151 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 12.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.152 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.153 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.153 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.153 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.154 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 12.154 * [backup-simplify]: Simplify (- 0) into 0 12.154 * [backup-simplify]: Simplify (+ 0 0) into 0 12.155 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 12.155 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 12.156 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 12.157 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 2) into 0 12.159 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 12.160 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 12.160 * [backup-simplify]: Simplify (- 0) into 0 12.161 * [backup-simplify]: Simplify (+ 0 0) into 0 12.162 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0 12.163 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.164 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 12.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.166 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 12.166 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.168 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)))) into 0 12.169 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.171 * [backup-simplify]: Simplify (+ (* 4/3 0) (+ (* 0 0) (* 0 (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2))))) into 0 12.171 * [taylor]: Taking taylor expansion of 0 in K 12.171 * [backup-simplify]: Simplify 0 into 0 12.171 * [backup-simplify]: Simplify 0 into 0 12.171 * [taylor]: Taking taylor expansion of 0 in K 12.171 * [backup-simplify]: Simplify 0 into 0 12.171 * [backup-simplify]: Simplify 0 into 0 12.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.173 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.174 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.174 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.175 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.175 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 12.176 * [backup-simplify]: Simplify (- 0) into 0 12.176 * [backup-simplify]: Simplify (+ 0 0) into 0 12.176 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 12.177 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 12.178 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 12.183 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 2) into 0 12.185 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 12.186 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 12.186 * [backup-simplify]: Simplify (- 0) into 0 12.186 * [backup-simplify]: Simplify (+ 0 0) into 0 12.187 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0 12.189 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.189 * [taylor]: Taking taylor expansion of 0 in K 12.189 * [backup-simplify]: Simplify 0 into 0 12.189 * [backup-simplify]: Simplify 0 into 0 12.190 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log (/ 1 J))) (log (/ 1/4 (pow (cos (/ 1/2 (/ 1 K))) 2)))) (* 2 (log (/ 1 U)))))) into (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ 1 J)))) (* 2 (log (/ 1 U)))))) 12.190 * [backup-simplify]: Simplify (cbrt (+ (* (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) 1)) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/3) 12.190 * [approximate]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/3) in (U J K) around 0 12.190 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/3) in K 12.190 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K 12.190 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K 12.190 * [taylor]: Taking taylor expansion of 1/3 in K 12.190 * [backup-simplify]: Simplify 1/3 into 1/3 12.190 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 12.191 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 12.191 * [taylor]: Taking taylor expansion of 1 in K 12.191 * [backup-simplify]: Simplify 1 into 1 12.191 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 12.191 * [taylor]: Taking taylor expansion of 1/4 in K 12.191 * [backup-simplify]: Simplify 1/4 into 1/4 12.191 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 12.191 * [taylor]: Taking taylor expansion of (pow J 2) in K 12.191 * [taylor]: Taking taylor expansion of J in K 12.191 * [backup-simplify]: Simplify J into J 12.191 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 12.191 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 12.191 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 12.191 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 12.191 * [taylor]: Taking taylor expansion of -1/2 in K 12.191 * [backup-simplify]: Simplify -1/2 into -1/2 12.191 * [taylor]: Taking taylor expansion of K in K 12.191 * [backup-simplify]: Simplify 0 into 0 12.191 * [backup-simplify]: Simplify 1 into 1 12.192 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.192 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.192 * [taylor]: Taking taylor expansion of (pow U 2) in K 12.192 * [taylor]: Taking taylor expansion of U in K 12.192 * [backup-simplify]: Simplify U into U 12.192 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.192 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.192 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.192 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 12.192 * [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))) 12.193 * [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)))) 12.193 * [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))))) 12.194 * [backup-simplify]: Simplify (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 12.194 * [backup-simplify]: Simplify (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 12.195 * [backup-simplify]: Simplify (exp (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/3) 12.195 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/3) in J 12.195 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J 12.195 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 12.195 * [taylor]: Taking taylor expansion of 1/3 in J 12.195 * [backup-simplify]: Simplify 1/3 into 1/3 12.195 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 12.195 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 12.195 * [taylor]: Taking taylor expansion of 1 in J 12.195 * [backup-simplify]: Simplify 1 into 1 12.195 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 12.195 * [taylor]: Taking taylor expansion of 1/4 in J 12.195 * [backup-simplify]: Simplify 1/4 into 1/4 12.195 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 12.195 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.195 * [taylor]: Taking taylor expansion of J in J 12.195 * [backup-simplify]: Simplify 0 into 0 12.195 * [backup-simplify]: Simplify 1 into 1 12.195 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 12.195 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 12.195 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 12.195 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 12.195 * [taylor]: Taking taylor expansion of -1/2 in J 12.195 * [backup-simplify]: Simplify -1/2 into -1/2 12.195 * [taylor]: Taking taylor expansion of K in J 12.195 * [backup-simplify]: Simplify K into K 12.195 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.195 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.195 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.196 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.196 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.196 * [backup-simplify]: Simplify (- 0) into 0 12.196 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.196 * [taylor]: Taking taylor expansion of (pow U 2) in J 12.196 * [taylor]: Taking taylor expansion of U in J 12.196 * [backup-simplify]: Simplify U into U 12.197 * [backup-simplify]: Simplify (* 1 1) into 1 12.197 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.197 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.197 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 12.197 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 12.198 * [backup-simplify]: Simplify (+ 1 0) into 1 12.198 * [backup-simplify]: Simplify (log 1) into 0 12.199 * [backup-simplify]: Simplify (* 1/3 0) into 0 12.199 * [backup-simplify]: Simplify (+ 0 0) into 0 12.200 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 12.201 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 12.201 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 12.202 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 12.204 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 12.204 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 0))) into (* 1/12 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 12.205 * [backup-simplify]: Simplify (exp 0) into 1 12.205 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/3) in U 12.205 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 12.205 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 12.205 * [taylor]: Taking taylor expansion of 1/3 in U 12.205 * [backup-simplify]: Simplify 1/3 into 1/3 12.205 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 12.205 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 12.205 * [taylor]: Taking taylor expansion of 1 in U 12.205 * [backup-simplify]: Simplify 1 into 1 12.205 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 12.205 * [taylor]: Taking taylor expansion of 1/4 in U 12.205 * [backup-simplify]: Simplify 1/4 into 1/4 12.205 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 12.205 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.205 * [taylor]: Taking taylor expansion of J in U 12.205 * [backup-simplify]: Simplify J into J 12.205 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 12.205 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 12.205 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 12.205 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 12.205 * [taylor]: Taking taylor expansion of -1/2 in U 12.205 * [backup-simplify]: Simplify -1/2 into -1/2 12.205 * [taylor]: Taking taylor expansion of K in U 12.205 * [backup-simplify]: Simplify K into K 12.205 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.205 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.205 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.205 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.206 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.212 * [backup-simplify]: Simplify (- 0) into 0 12.212 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.212 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.212 * [taylor]: Taking taylor expansion of U in U 12.212 * [backup-simplify]: Simplify 0 into 0 12.212 * [backup-simplify]: Simplify 1 into 1 12.212 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.213 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.213 * [backup-simplify]: Simplify (* 1 1) into 1 12.213 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 12.214 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 12.214 * [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))) 12.214 * [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))) 12.214 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 12.215 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 12.215 * [backup-simplify]: Simplify (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 12.215 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 12.216 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/3) in U 12.216 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 12.216 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 12.216 * [taylor]: Taking taylor expansion of 1/3 in U 12.216 * [backup-simplify]: Simplify 1/3 into 1/3 12.216 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 12.216 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 12.216 * [taylor]: Taking taylor expansion of 1 in U 12.216 * [backup-simplify]: Simplify 1 into 1 12.216 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 12.216 * [taylor]: Taking taylor expansion of 1/4 in U 12.216 * [backup-simplify]: Simplify 1/4 into 1/4 12.216 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 12.216 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.216 * [taylor]: Taking taylor expansion of J in U 12.216 * [backup-simplify]: Simplify J into J 12.216 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 12.216 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 12.216 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 12.216 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 12.216 * [taylor]: Taking taylor expansion of -1/2 in U 12.216 * [backup-simplify]: Simplify -1/2 into -1/2 12.216 * [taylor]: Taking taylor expansion of K in U 12.216 * [backup-simplify]: Simplify K into K 12.216 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.216 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.216 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.216 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.217 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.217 * [backup-simplify]: Simplify (- 0) into 0 12.217 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.217 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.217 * [taylor]: Taking taylor expansion of U in U 12.217 * [backup-simplify]: Simplify 0 into 0 12.217 * [backup-simplify]: Simplify 1 into 1 12.217 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.217 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.218 * [backup-simplify]: Simplify (* 1 1) into 1 12.218 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 12.218 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 12.218 * [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))) 12.219 * [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))) 12.219 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 12.220 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 12.220 * [backup-simplify]: Simplify (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 12.220 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 12.220 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J 12.220 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 12.220 * [taylor]: Taking taylor expansion of 1/3 in J 12.220 * [backup-simplify]: Simplify 1/3 into 1/3 12.220 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 12.220 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 12.220 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 12.220 * [taylor]: Taking taylor expansion of 1/4 in J 12.221 * [backup-simplify]: Simplify 1/4 into 1/4 12.221 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 12.221 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.221 * [taylor]: Taking taylor expansion of J in J 12.221 * [backup-simplify]: Simplify 0 into 0 12.221 * [backup-simplify]: Simplify 1 into 1 12.221 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 12.221 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 12.221 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 12.221 * [taylor]: Taking taylor expansion of -1/2 in J 12.221 * [backup-simplify]: Simplify -1/2 into -1/2 12.221 * [taylor]: Taking taylor expansion of K in J 12.221 * [backup-simplify]: Simplify K into K 12.221 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.221 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.221 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.221 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.221 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.222 * [backup-simplify]: Simplify (- 0) into 0 12.222 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.222 * [backup-simplify]: Simplify (* 1 1) into 1 12.222 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.222 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 12.222 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 12.223 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 12.223 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 12.223 * [taylor]: Taking taylor expansion of 2 in J 12.223 * [backup-simplify]: Simplify 2 into 2 12.223 * [taylor]: Taking taylor expansion of (log U) in J 12.223 * [taylor]: Taking taylor expansion of U in J 12.223 * [backup-simplify]: Simplify U into U 12.223 * [backup-simplify]: Simplify (log U) into (log U) 12.223 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) 12.224 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 12.224 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 12.224 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 12.224 * [backup-simplify]: Simplify (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 12.225 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 12.225 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in K 12.225 * [taylor]: Taking taylor expansion of (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in K 12.225 * [taylor]: Taking taylor expansion of 1/3 in K 12.225 * [backup-simplify]: Simplify 1/3 into 1/3 12.225 * [taylor]: Taking taylor expansion of (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in K 12.225 * [taylor]: Taking taylor expansion of (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) in K 12.225 * [taylor]: Taking taylor expansion of (* 2 (log J)) in K 12.225 * [taylor]: Taking taylor expansion of 2 in K 12.225 * [backup-simplify]: Simplify 2 into 2 12.225 * [taylor]: Taking taylor expansion of (log J) in K 12.225 * [taylor]: Taking taylor expansion of J in K 12.225 * [backup-simplify]: Simplify J into J 12.225 * [backup-simplify]: Simplify (log J) into (log J) 12.225 * [taylor]: Taking taylor expansion of (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) in K 12.225 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ -1/2 K)) 2)) in K 12.225 * [taylor]: Taking taylor expansion of 1/4 in K 12.225 * [backup-simplify]: Simplify 1/4 into 1/4 12.225 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 12.225 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 12.225 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 12.225 * [taylor]: Taking taylor expansion of -1/2 in K 12.225 * [backup-simplify]: Simplify -1/2 into -1/2 12.225 * [taylor]: Taking taylor expansion of K in K 12.225 * [backup-simplify]: Simplify 0 into 0 12.225 * [backup-simplify]: Simplify 1 into 1 12.226 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.226 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.226 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.226 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 12.226 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 12.226 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 12.226 * [taylor]: Taking taylor expansion of 2 in K 12.226 * [backup-simplify]: Simplify 2 into 2 12.226 * [taylor]: Taking taylor expansion of (log U) in K 12.226 * [taylor]: Taking taylor expansion of U in K 12.227 * [backup-simplify]: Simplify U into U 12.227 * [backup-simplify]: Simplify (log U) into (log U) 12.227 * [backup-simplify]: Simplify (* 2 (log J)) into (* 2 (log J)) 12.227 * [backup-simplify]: Simplify (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) 12.227 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 12.227 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 12.227 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 12.228 * [backup-simplify]: Simplify (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 12.228 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 12.228 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 12.228 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.229 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.230 * [backup-simplify]: Simplify (+ 0) into 0 12.230 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 12.230 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 12.231 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.232 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 12.232 * [backup-simplify]: Simplify (- 0) into 0 12.232 * [backup-simplify]: Simplify (+ 0 0) into 0 12.233 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 12.233 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 12.233 * [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 12.234 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 12.235 * [backup-simplify]: Simplify (+ 0 0) into 0 12.235 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 1) into 0 12.236 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 12.237 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 12.238 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 12.238 * [taylor]: Taking taylor expansion of 0 in J 12.238 * [backup-simplify]: Simplify 0 into 0 12.238 * [taylor]: Taking taylor expansion of 0 in K 12.238 * [backup-simplify]: Simplify 0 into 0 12.238 * [backup-simplify]: Simplify 0 into 0 12.239 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.239 * [backup-simplify]: Simplify (+ 0) into 0 12.240 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 12.240 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 12.241 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.241 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 12.242 * [backup-simplify]: Simplify (- 0) into 0 12.242 * [backup-simplify]: Simplify (+ 0 0) into 0 12.242 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 12.242 * [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 12.243 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 12.244 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 12.245 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 12.245 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 12.246 * [backup-simplify]: Simplify (- 0) into 0 12.246 * [backup-simplify]: Simplify (+ 0 0) into 0 12.247 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 12.248 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 12.248 * [taylor]: Taking taylor expansion of 0 in K 12.248 * [backup-simplify]: Simplify 0 into 0 12.248 * [backup-simplify]: Simplify 0 into 0 12.249 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 12.250 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log J))) into 0 12.250 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 12.250 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 12.251 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 12.251 * [backup-simplify]: Simplify (+ 0 0) into 0 12.252 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 12.253 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 12.253 * [backup-simplify]: Simplify (- 0) into 0 12.253 * [backup-simplify]: Simplify (+ 0 0) into 0 12.254 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 12.255 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 12.255 * [backup-simplify]: Simplify 0 into 0 12.256 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 12.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.257 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.257 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.258 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.258 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.258 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 12.259 * [backup-simplify]: Simplify (- 0) into 0 12.259 * [backup-simplify]: Simplify (+ 0 0) into 0 12.259 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 12.260 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 12.260 * [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 12.261 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 12.261 * [backup-simplify]: Simplify (+ 1 0) into 1 12.262 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 2) into (* 4 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 12.263 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 12.263 * [backup-simplify]: Simplify (+ (* 1/3 (* 4 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (* 4/3 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 12.264 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 4/3 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 1) 1)))) into (* 4/3 (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2))) 12.264 * [taylor]: Taking taylor expansion of (* 4/3 (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2))) in J 12.264 * [taylor]: Taking taylor expansion of 4/3 in J 12.264 * [backup-simplify]: Simplify 4/3 into 4/3 12.264 * [taylor]: Taking taylor expansion of (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) in J 12.264 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) in J 12.264 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 12.264 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 12.264 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 12.264 * [taylor]: Taking taylor expansion of -1/2 in J 12.264 * [backup-simplify]: Simplify -1/2 into -1/2 12.264 * [taylor]: Taking taylor expansion of K in J 12.264 * [backup-simplify]: Simplify K into K 12.264 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.264 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.264 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.264 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.264 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.265 * [backup-simplify]: Simplify (- 0) into 0 12.265 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.265 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J 12.265 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 12.265 * [taylor]: Taking taylor expansion of 1/3 in J 12.265 * [backup-simplify]: Simplify 1/3 into 1/3 12.265 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 12.265 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 12.265 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 12.265 * [taylor]: Taking taylor expansion of 1/4 in J 12.265 * [backup-simplify]: Simplify 1/4 into 1/4 12.265 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 12.265 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.265 * [taylor]: Taking taylor expansion of J in J 12.265 * [backup-simplify]: Simplify 0 into 0 12.265 * [backup-simplify]: Simplify 1 into 1 12.265 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 12.265 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 12.265 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 12.265 * [taylor]: Taking taylor expansion of -1/2 in J 12.265 * [backup-simplify]: Simplify -1/2 into -1/2 12.265 * [taylor]: Taking taylor expansion of K in J 12.265 * [backup-simplify]: Simplify K into K 12.265 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.265 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.265 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.265 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.265 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.266 * [backup-simplify]: Simplify (- 0) into 0 12.266 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.266 * [backup-simplify]: Simplify (* 1 1) into 1 12.266 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.266 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 12.266 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 12.266 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 12.266 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 12.266 * [taylor]: Taking taylor expansion of 2 in J 12.266 * [backup-simplify]: Simplify 2 into 2 12.266 * [taylor]: Taking taylor expansion of (log U) in J 12.266 * [taylor]: Taking taylor expansion of U in J 12.266 * [backup-simplify]: Simplify U into U 12.266 * [backup-simplify]: Simplify (log U) into (log U) 12.267 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) 12.267 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 12.267 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 12.267 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 12.267 * [backup-simplify]: Simplify (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 12.267 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 12.267 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.267 * [taylor]: Taking taylor expansion of J in J 12.267 * [backup-simplify]: Simplify 0 into 0 12.267 * [backup-simplify]: Simplify 1 into 1 12.267 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.268 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 12.268 * [backup-simplify]: Simplify (* 1 1) into 1 12.268 * [backup-simplify]: Simplify (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 1) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 12.269 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.269 * [backup-simplify]: Simplify (+ 0) into 0 12.269 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 12.269 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 12.270 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.270 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 12.270 * [backup-simplify]: Simplify (- 0) into 0 12.271 * [backup-simplify]: Simplify (+ 0 0) into 0 12.271 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 12.271 * [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 12.271 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 12.272 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 12.273 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 12.273 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 12.273 * [backup-simplify]: Simplify (- 0) into 0 12.273 * [backup-simplify]: Simplify (+ 0 0) into 0 12.274 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 12.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.275 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.275 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.276 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.276 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.276 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 12.277 * [backup-simplify]: Simplify (- 0) into 0 12.277 * [backup-simplify]: Simplify (+ 0 0) into 0 12.277 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 12.277 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 12.278 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 12.279 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 2) into 0 12.280 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 12.281 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 12.281 * [backup-simplify]: Simplify (- 0) into 0 12.281 * [backup-simplify]: Simplify (+ 0 0) into 0 12.282 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 12.283 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.283 * [backup-simplify]: Simplify (+ 0) into 0 12.283 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 12.283 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 12.284 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.284 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 12.284 * [backup-simplify]: Simplify (- 0) into 0 12.285 * [backup-simplify]: Simplify (+ 0 0) into 0 12.285 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 12.285 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 12.286 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.286 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.287 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.287 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.287 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 12.288 * [backup-simplify]: Simplify (- 0) into 0 12.288 * [backup-simplify]: Simplify (+ 0 0) into 0 12.288 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 12.289 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))))) into 0 12.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.290 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))))) into 0 12.290 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.291 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)))) into 0 12.292 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.293 * [backup-simplify]: Simplify (+ (* 4/3 0) (+ (* 0 0) (* 0 (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))))))) into 0 12.293 * [taylor]: Taking taylor expansion of 0 in K 12.293 * [backup-simplify]: Simplify 0 into 0 12.293 * [backup-simplify]: Simplify 0 into 0 12.293 * [taylor]: Taking taylor expansion of 0 in K 12.293 * [backup-simplify]: Simplify 0 into 0 12.293 * [backup-simplify]: Simplify 0 into 0 12.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.294 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.295 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.295 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.295 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.296 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 12.296 * [backup-simplify]: Simplify (- 0) into 0 12.297 * [backup-simplify]: Simplify (+ 0 0) into 0 12.297 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 12.297 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 12.298 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 12.300 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 2) into 0 12.302 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 12.303 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 12.303 * [backup-simplify]: Simplify (- 0) into 0 12.303 * [backup-simplify]: Simplify (+ 0 0) into 0 12.305 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 12.306 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.306 * [taylor]: Taking taylor expansion of 0 in K 12.306 * [backup-simplify]: Simplify 0 into 0 12.306 * [backup-simplify]: Simplify 0 into 0 12.307 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log (/ 1 (- J)))) (log (/ 1/4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)))) (* 2 (log (/ 1 (- U))))))) into (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ -1 J)))) (* 2 (log (/ -1 U)))))) 12.307 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 12.308 * [backup-simplify]: Simplify (sqrt (* (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) into (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/3) 12.308 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/3) in (U J K) around 0 12.308 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/3) in K 12.308 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in K 12.308 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in K 12.308 * [taylor]: Taking taylor expansion of 1/3 in K 12.308 * [backup-simplify]: Simplify 1/3 into 1/3 12.308 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 12.308 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 12.308 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 12.308 * [taylor]: Taking taylor expansion of 1/4 in K 12.308 * [backup-simplify]: Simplify 1/4 into 1/4 12.308 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 12.308 * [taylor]: Taking taylor expansion of (pow U 2) in K 12.308 * [taylor]: Taking taylor expansion of U in K 12.308 * [backup-simplify]: Simplify U into U 12.308 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 12.308 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 12.308 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 12.308 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 12.308 * [taylor]: Taking taylor expansion of 1/2 in K 12.308 * [backup-simplify]: Simplify 1/2 into 1/2 12.308 * [taylor]: Taking taylor expansion of K in K 12.308 * [backup-simplify]: Simplify 0 into 0 12.308 * [backup-simplify]: Simplify 1 into 1 12.309 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.310 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 12.310 * [taylor]: Taking taylor expansion of (pow J 2) in K 12.310 * [taylor]: Taking taylor expansion of J in K 12.310 * [backup-simplify]: Simplify J into J 12.310 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.310 * [backup-simplify]: Simplify (* 1 1) into 1 12.310 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.311 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 12.311 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 12.311 * [taylor]: Taking taylor expansion of 1 in K 12.311 * [backup-simplify]: Simplify 1 into 1 12.311 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 12.311 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 12.311 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 12.312 * [backup-simplify]: Simplify (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) 12.312 * [backup-simplify]: Simplify (exp (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/3) 12.312 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/3) in J 12.312 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J 12.312 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J 12.312 * [taylor]: Taking taylor expansion of 1/3 in J 12.312 * [backup-simplify]: Simplify 1/3 into 1/3 12.312 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 12.312 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 12.312 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 12.312 * [taylor]: Taking taylor expansion of 1/4 in J 12.312 * [backup-simplify]: Simplify 1/4 into 1/4 12.312 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 12.312 * [taylor]: Taking taylor expansion of (pow U 2) in J 12.312 * [taylor]: Taking taylor expansion of U in J 12.312 * [backup-simplify]: Simplify U into U 12.312 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 12.312 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 12.312 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 12.312 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 12.312 * [taylor]: Taking taylor expansion of 1/2 in J 12.313 * [backup-simplify]: Simplify 1/2 into 1/2 12.313 * [taylor]: Taking taylor expansion of K in J 12.313 * [backup-simplify]: Simplify K into K 12.313 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 12.313 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 12.313 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 12.313 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 12.313 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 12.313 * [backup-simplify]: Simplify (- 0) into 0 12.313 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 12.314 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.314 * [taylor]: Taking taylor expansion of J in J 12.314 * [backup-simplify]: Simplify 0 into 0 12.314 * [backup-simplify]: Simplify 1 into 1 12.314 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.314 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 12.314 * [backup-simplify]: Simplify (* 1 1) into 1 12.314 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 12.314 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 12.314 * [taylor]: Taking taylor expansion of 1 in J 12.315 * [backup-simplify]: Simplify 1 into 1 12.315 * [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))) 12.315 * [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))) 12.315 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) 12.316 * [backup-simplify]: Simplify (+ (* (- 2) (log J)) (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))) 12.316 * [backup-simplify]: Simplify (* 1/3 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) into (* 1/3 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) 12.316 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) into (exp (* 1/3 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) 12.316 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/3) in U 12.317 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 12.317 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 12.317 * [taylor]: Taking taylor expansion of 1/3 in U 12.317 * [backup-simplify]: Simplify 1/3 into 1/3 12.317 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 12.317 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 12.317 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 12.317 * [taylor]: Taking taylor expansion of 1/4 in U 12.317 * [backup-simplify]: Simplify 1/4 into 1/4 12.317 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 12.317 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.317 * [taylor]: Taking taylor expansion of U in U 12.317 * [backup-simplify]: Simplify 0 into 0 12.317 * [backup-simplify]: Simplify 1 into 1 12.317 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 12.317 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 12.317 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 12.317 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 12.317 * [taylor]: Taking taylor expansion of 1/2 in U 12.317 * [backup-simplify]: Simplify 1/2 into 1/2 12.317 * [taylor]: Taking taylor expansion of K in U 12.317 * [backup-simplify]: Simplify K into K 12.317 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 12.317 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 12.317 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 12.317 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 12.317 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 12.318 * [backup-simplify]: Simplify (- 0) into 0 12.318 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 12.318 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.318 * [taylor]: Taking taylor expansion of J in U 12.318 * [backup-simplify]: Simplify J into J 12.318 * [backup-simplify]: Simplify (* 1 1) into 1 12.318 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 12.319 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.319 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 12.319 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 12.319 * [taylor]: Taking taylor expansion of 1 in U 12.319 * [backup-simplify]: Simplify 1 into 1 12.319 * [backup-simplify]: Simplify (+ 0 1) into 1 12.320 * [backup-simplify]: Simplify (log 1) into 0 12.320 * [backup-simplify]: Simplify (* 1/3 0) into 0 12.320 * [backup-simplify]: Simplify (+ 0 0) into 0 12.322 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 12.322 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 12.323 * [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))) 12.323 * [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)))) 12.325 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 12.326 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/12 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 12.326 * [backup-simplify]: Simplify (exp 0) into 1 12.326 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/3) in U 12.326 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 12.326 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 12.326 * [taylor]: Taking taylor expansion of 1/3 in U 12.326 * [backup-simplify]: Simplify 1/3 into 1/3 12.326 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 12.326 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 12.326 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 12.326 * [taylor]: Taking taylor expansion of 1/4 in U 12.326 * [backup-simplify]: Simplify 1/4 into 1/4 12.326 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 12.326 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.326 * [taylor]: Taking taylor expansion of U in U 12.326 * [backup-simplify]: Simplify 0 into 0 12.326 * [backup-simplify]: Simplify 1 into 1 12.326 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 12.326 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 12.326 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 12.326 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 12.326 * [taylor]: Taking taylor expansion of 1/2 in U 12.326 * [backup-simplify]: Simplify 1/2 into 1/2 12.326 * [taylor]: Taking taylor expansion of K in U 12.326 * [backup-simplify]: Simplify K into K 12.326 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 12.326 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 12.327 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 12.327 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 12.327 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 12.327 * [backup-simplify]: Simplify (- 0) into 0 12.327 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 12.327 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.327 * [taylor]: Taking taylor expansion of J in U 12.327 * [backup-simplify]: Simplify J into J 12.328 * [backup-simplify]: Simplify (* 1 1) into 1 12.328 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 12.328 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.328 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 12.328 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 12.328 * [taylor]: Taking taylor expansion of 1 in U 12.328 * [backup-simplify]: Simplify 1 into 1 12.329 * [backup-simplify]: Simplify (+ 0 1) into 1 12.329 * [backup-simplify]: Simplify (log 1) into 0 12.329 * [backup-simplify]: Simplify (* 1/3 0) into 0 12.330 * [backup-simplify]: Simplify (+ 0 0) into 0 12.331 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 12.332 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 12.332 * [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))) 12.332 * [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)))) 12.334 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 12.335 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/12 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 12.335 * [backup-simplify]: Simplify (exp 0) into 1 12.335 * [taylor]: Taking taylor expansion of 1 in J 12.335 * [backup-simplify]: Simplify 1 into 1 12.335 * [taylor]: Taking taylor expansion of 1 in K 12.335 * [backup-simplify]: Simplify 1 into 1 12.335 * [backup-simplify]: Simplify 1 into 1 12.336 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 12.336 * [taylor]: Taking taylor expansion of 0 in J 12.336 * [backup-simplify]: Simplify 0 into 0 12.336 * [taylor]: Taking taylor expansion of 0 in K 12.336 * [backup-simplify]: Simplify 0 into 0 12.336 * [backup-simplify]: Simplify 0 into 0 12.336 * [taylor]: Taking taylor expansion of 0 in K 12.336 * [backup-simplify]: Simplify 0 into 0 12.336 * [backup-simplify]: Simplify 0 into 0 12.336 * [backup-simplify]: Simplify 0 into 0 12.341 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/12 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1)))) into (/ 1/12 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 12.341 * [taylor]: Taking taylor expansion of (/ 1/12 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 12.341 * [taylor]: Taking taylor expansion of 1/12 in J 12.341 * [backup-simplify]: Simplify 1/12 into 1/12 12.341 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 12.341 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 12.341 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 12.341 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 12.341 * [taylor]: Taking taylor expansion of 1/2 in J 12.341 * [backup-simplify]: Simplify 1/2 into 1/2 12.341 * [taylor]: Taking taylor expansion of K in J 12.341 * [backup-simplify]: Simplify K into K 12.341 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 12.341 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 12.341 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 12.341 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 12.341 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 12.342 * [backup-simplify]: Simplify (- 0) into 0 12.342 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 12.342 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.342 * [taylor]: Taking taylor expansion of J in J 12.342 * [backup-simplify]: Simplify 0 into 0 12.342 * [backup-simplify]: Simplify 1 into 1 12.342 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 12.342 * [backup-simplify]: Simplify (* 1 1) into 1 12.342 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 12.342 * [backup-simplify]: Simplify (/ 1/12 (pow (cos (* 1/2 K)) 2)) into (/ 1/12 (pow (cos (* 1/2 K)) 2)) 12.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.343 * [backup-simplify]: Simplify (+ 0) into 0 12.343 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 12.344 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 12.344 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.345 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 12.345 * [backup-simplify]: Simplify (- 0) into 0 12.345 * [backup-simplify]: Simplify (+ 0 0) into 0 12.345 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 12.346 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.346 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.347 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.347 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 12.348 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.348 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 12.348 * [backup-simplify]: Simplify (- 0) into 0 12.348 * [backup-simplify]: Simplify (+ 0 0) into 0 12.349 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 12.349 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 12.350 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 12.350 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/12 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 12.350 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/12 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 12.350 * [taylor]: Taking taylor expansion of 0 in K 12.350 * [backup-simplify]: Simplify 0 into 0 12.350 * [backup-simplify]: Simplify 0 into 0 12.350 * [taylor]: Taking taylor expansion of 0 in K 12.350 * [backup-simplify]: Simplify 0 into 0 12.350 * [backup-simplify]: Simplify 0 into 0 12.350 * [taylor]: Taking taylor expansion of 0 in K 12.350 * [backup-simplify]: Simplify 0 into 0 12.350 * [backup-simplify]: Simplify 0 into 0 12.350 * [backup-simplify]: Simplify 1 into 1 12.351 * [backup-simplify]: Simplify (sqrt (* (cbrt (+ (* (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) 1)) (cbrt (+ (* (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) 1)))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) 12.351 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) in (U J K) around 0 12.351 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) in K 12.351 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in K 12.351 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in K 12.351 * [taylor]: Taking taylor expansion of 1/3 in K 12.351 * [backup-simplify]: Simplify 1/3 into 1/3 12.351 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 12.351 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 12.351 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 12.351 * [taylor]: Taking taylor expansion of 1/4 in K 12.351 * [backup-simplify]: Simplify 1/4 into 1/4 12.351 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 12.351 * [taylor]: Taking taylor expansion of (pow J 2) in K 12.351 * [taylor]: Taking taylor expansion of J in K 12.351 * [backup-simplify]: Simplify J into J 12.351 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 12.352 * [taylor]: Taking taylor expansion of (pow U 2) in K 12.352 * [taylor]: Taking taylor expansion of U in K 12.352 * [backup-simplify]: Simplify U into U 12.352 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 12.352 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 12.352 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 12.352 * [taylor]: Taking taylor expansion of 1/2 in K 12.352 * [backup-simplify]: Simplify 1/2 into 1/2 12.352 * [taylor]: Taking taylor expansion of K in K 12.352 * [backup-simplify]: Simplify 0 into 0 12.352 * [backup-simplify]: Simplify 1 into 1 12.352 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.352 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.352 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.352 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.352 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.352 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 12.352 * [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))) 12.353 * [taylor]: Taking taylor expansion of 1 in K 12.353 * [backup-simplify]: Simplify 1 into 1 12.353 * [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)))) 12.353 * [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) 12.353 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 12.353 * [backup-simplify]: Simplify (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) 12.354 * [backup-simplify]: Simplify (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) 12.354 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) in J 12.354 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in J 12.354 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in J 12.354 * [taylor]: Taking taylor expansion of 1/3 in J 12.354 * [backup-simplify]: Simplify 1/3 into 1/3 12.354 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 12.354 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 12.354 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 12.354 * [taylor]: Taking taylor expansion of 1/4 in J 12.354 * [backup-simplify]: Simplify 1/4 into 1/4 12.354 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 12.354 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.354 * [taylor]: Taking taylor expansion of J in J 12.354 * [backup-simplify]: Simplify 0 into 0 12.354 * [backup-simplify]: Simplify 1 into 1 12.354 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 12.354 * [taylor]: Taking taylor expansion of (pow U 2) in J 12.354 * [taylor]: Taking taylor expansion of U in J 12.354 * [backup-simplify]: Simplify U into U 12.354 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 12.354 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 12.354 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 12.354 * [taylor]: Taking taylor expansion of 1/2 in J 12.354 * [backup-simplify]: Simplify 1/2 into 1/2 12.354 * [taylor]: Taking taylor expansion of K in J 12.354 * [backup-simplify]: Simplify K into K 12.354 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.354 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.354 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.354 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.354 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.355 * [backup-simplify]: Simplify (- 0) into 0 12.355 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.355 * [backup-simplify]: Simplify (* 1 1) into 1 12.355 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.355 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.355 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 12.355 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 12.355 * [taylor]: Taking taylor expansion of 1 in J 12.355 * [backup-simplify]: Simplify 1 into 1 12.356 * [backup-simplify]: Simplify (+ 0 1) into 1 12.356 * [backup-simplify]: Simplify (log 1) into 0 12.356 * [backup-simplify]: Simplify (* 1/3 0) into 0 12.357 * [backup-simplify]: Simplify (+ 0 0) into 0 12.357 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 12.358 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 12.358 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 12.358 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 12.359 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 12.360 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (+ (* 0 0) (* 0 0))) into (* 1/12 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 12.360 * [backup-simplify]: Simplify (exp 0) into 1 12.360 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) in U 12.360 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U 12.360 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U 12.360 * [taylor]: Taking taylor expansion of 1/3 in U 12.360 * [backup-simplify]: Simplify 1/3 into 1/3 12.360 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 12.360 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 12.360 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 12.360 * [taylor]: Taking taylor expansion of 1/4 in U 12.360 * [backup-simplify]: Simplify 1/4 into 1/4 12.360 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 12.360 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.360 * [taylor]: Taking taylor expansion of J in U 12.360 * [backup-simplify]: Simplify J into J 12.360 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 12.360 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.360 * [taylor]: Taking taylor expansion of U in U 12.360 * [backup-simplify]: Simplify 0 into 0 12.360 * [backup-simplify]: Simplify 1 into 1 12.360 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 12.360 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 12.360 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 12.360 * [taylor]: Taking taylor expansion of 1/2 in U 12.360 * [backup-simplify]: Simplify 1/2 into 1/2 12.360 * [taylor]: Taking taylor expansion of K in U 12.360 * [backup-simplify]: Simplify K into K 12.360 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.360 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.360 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.360 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.360 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.361 * [backup-simplify]: Simplify (- 0) into 0 12.361 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.361 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.361 * [backup-simplify]: Simplify (* 1 1) into 1 12.361 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.362 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 12.362 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 12.362 * [taylor]: Taking taylor expansion of 1 in U 12.362 * [backup-simplify]: Simplify 1 into 1 12.362 * [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))) 12.362 * [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))) 12.362 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 12.362 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 12.363 * [backup-simplify]: Simplify (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 12.363 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 12.363 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) in U 12.363 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U 12.363 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U 12.363 * [taylor]: Taking taylor expansion of 1/3 in U 12.363 * [backup-simplify]: Simplify 1/3 into 1/3 12.363 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 12.363 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 12.363 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 12.363 * [taylor]: Taking taylor expansion of 1/4 in U 12.363 * [backup-simplify]: Simplify 1/4 into 1/4 12.363 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 12.363 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.363 * [taylor]: Taking taylor expansion of J in U 12.363 * [backup-simplify]: Simplify J into J 12.363 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 12.363 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.363 * [taylor]: Taking taylor expansion of U in U 12.363 * [backup-simplify]: Simplify 0 into 0 12.363 * [backup-simplify]: Simplify 1 into 1 12.363 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 12.363 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 12.363 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 12.363 * [taylor]: Taking taylor expansion of 1/2 in U 12.363 * [backup-simplify]: Simplify 1/2 into 1/2 12.363 * [taylor]: Taking taylor expansion of K in U 12.363 * [backup-simplify]: Simplify K into K 12.363 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.363 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.363 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.363 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.363 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.364 * [backup-simplify]: Simplify (- 0) into 0 12.364 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.364 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.364 * [backup-simplify]: Simplify (* 1 1) into 1 12.364 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.364 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 12.364 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 12.364 * [taylor]: Taking taylor expansion of 1 in U 12.364 * [backup-simplify]: Simplify 1 into 1 12.365 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 12.365 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 12.365 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 12.365 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 12.365 * [backup-simplify]: Simplify (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 12.366 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 12.366 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J 12.366 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 12.366 * [taylor]: Taking taylor expansion of 1/3 in J 12.366 * [backup-simplify]: Simplify 1/3 into 1/3 12.366 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 12.366 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 12.366 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 12.366 * [taylor]: Taking taylor expansion of 1/4 in J 12.366 * [backup-simplify]: Simplify 1/4 into 1/4 12.366 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 12.366 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.366 * [taylor]: Taking taylor expansion of J in J 12.366 * [backup-simplify]: Simplify 0 into 0 12.366 * [backup-simplify]: Simplify 1 into 1 12.366 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 12.366 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 12.366 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 12.366 * [taylor]: Taking taylor expansion of 1/2 in J 12.366 * [backup-simplify]: Simplify 1/2 into 1/2 12.366 * [taylor]: Taking taylor expansion of K in J 12.366 * [backup-simplify]: Simplify K into K 12.366 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.366 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.366 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.366 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.366 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.366 * [backup-simplify]: Simplify (- 0) into 0 12.367 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.367 * [backup-simplify]: Simplify (* 1 1) into 1 12.367 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.367 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 12.367 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 12.367 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 12.367 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 12.367 * [taylor]: Taking taylor expansion of 2 in J 12.367 * [backup-simplify]: Simplify 2 into 2 12.367 * [taylor]: Taking taylor expansion of (log U) in J 12.367 * [taylor]: Taking taylor expansion of U in J 12.367 * [backup-simplify]: Simplify U into U 12.367 * [backup-simplify]: Simplify (log U) into (log U) 12.368 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) 12.368 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 12.368 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 12.368 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 12.368 * [backup-simplify]: Simplify (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 12.368 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 12.368 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in K 12.368 * [taylor]: Taking taylor expansion of (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in K 12.368 * [taylor]: Taking taylor expansion of 1/3 in K 12.368 * [backup-simplify]: Simplify 1/3 into 1/3 12.368 * [taylor]: Taking taylor expansion of (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in K 12.368 * [taylor]: Taking taylor expansion of (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) in K 12.368 * [taylor]: Taking taylor expansion of (* 2 (log J)) in K 12.368 * [taylor]: Taking taylor expansion of 2 in K 12.368 * [backup-simplify]: Simplify 2 into 2 12.368 * [taylor]: Taking taylor expansion of (log J) in K 12.368 * [taylor]: Taking taylor expansion of J in K 12.368 * [backup-simplify]: Simplify J into J 12.368 * [backup-simplify]: Simplify (log J) into (log J) 12.368 * [taylor]: Taking taylor expansion of (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) in K 12.369 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ 1/2 K)) 2)) in K 12.369 * [taylor]: Taking taylor expansion of 1/4 in K 12.369 * [backup-simplify]: Simplify 1/4 into 1/4 12.369 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 12.369 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 12.369 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 12.369 * [taylor]: Taking taylor expansion of 1/2 in K 12.369 * [backup-simplify]: Simplify 1/2 into 1/2 12.369 * [taylor]: Taking taylor expansion of K in K 12.369 * [backup-simplify]: Simplify 0 into 0 12.369 * [backup-simplify]: Simplify 1 into 1 12.369 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.369 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.369 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.369 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 12.369 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 12.369 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 12.369 * [taylor]: Taking taylor expansion of 2 in K 12.369 * [backup-simplify]: Simplify 2 into 2 12.369 * [taylor]: Taking taylor expansion of (log U) in K 12.369 * [taylor]: Taking taylor expansion of U in K 12.369 * [backup-simplify]: Simplify U into U 12.369 * [backup-simplify]: Simplify (log U) into (log U) 12.369 * [backup-simplify]: Simplify (* 2 (log J)) into (* 2 (log J)) 12.370 * [backup-simplify]: Simplify (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) 12.370 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 12.370 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 12.370 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 12.370 * [backup-simplify]: Simplify (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 12.370 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 12.370 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 12.370 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.371 * [backup-simplify]: Simplify (+ 0) into 0 12.371 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 12.371 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 12.372 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.372 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 12.372 * [backup-simplify]: Simplify (- 0) into 0 12.372 * [backup-simplify]: Simplify (+ 0 0) into 0 12.373 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 12.373 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.373 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 12.374 * [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 12.374 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 12.374 * [backup-simplify]: Simplify (+ 0 0) into 0 12.375 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 1) into 0 12.375 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 12.376 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 12.376 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 12.376 * [taylor]: Taking taylor expansion of 0 in J 12.376 * [backup-simplify]: Simplify 0 into 0 12.376 * [taylor]: Taking taylor expansion of 0 in K 12.376 * [backup-simplify]: Simplify 0 into 0 12.376 * [backup-simplify]: Simplify 0 into 0 12.377 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.377 * [backup-simplify]: Simplify (+ 0) into 0 12.377 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 12.377 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 12.378 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.378 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 12.378 * [backup-simplify]: Simplify (- 0) into 0 12.379 * [backup-simplify]: Simplify (+ 0 0) into 0 12.379 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 12.379 * [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 12.379 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 12.380 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 12.380 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 12.381 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 12.382 * [backup-simplify]: Simplify (- 0) into 0 12.382 * [backup-simplify]: Simplify (+ 0 0) into 0 12.382 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 12.383 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 12.383 * [taylor]: Taking taylor expansion of 0 in K 12.383 * [backup-simplify]: Simplify 0 into 0 12.383 * [backup-simplify]: Simplify 0 into 0 12.383 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 12.384 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log J))) into 0 12.384 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 12.384 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 12.385 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 12.385 * [backup-simplify]: Simplify (+ 0 0) into 0 12.385 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 12.386 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 12.386 * [backup-simplify]: Simplify (- 0) into 0 12.386 * [backup-simplify]: Simplify (+ 0 0) into 0 12.387 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 12.387 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 12.387 * [backup-simplify]: Simplify 0 into 0 12.388 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 12.388 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.389 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.389 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.389 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.389 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 12.390 * [backup-simplify]: Simplify (- 0) into 0 12.390 * [backup-simplify]: Simplify (+ 0 0) into 0 12.390 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 12.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 12.392 * [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))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 12.392 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 12.393 * [backup-simplify]: Simplify (+ 0 1) into 1 12.394 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 2) into (* 4 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 12.394 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 12.395 * [backup-simplify]: Simplify (+ (* 1/3 (* 4 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into (* 4/3 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 12.396 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 4/3 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 1) 1)))) into (* 4/3 (/ (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2))) 12.396 * [taylor]: Taking taylor expansion of (* 4/3 (/ (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2))) in J 12.396 * [taylor]: Taking taylor expansion of 4/3 in J 12.396 * [backup-simplify]: Simplify 4/3 into 4/3 12.396 * [taylor]: Taking taylor expansion of (/ (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) in J 12.396 * [taylor]: Taking taylor expansion of (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) in J 12.396 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J 12.396 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 12.396 * [taylor]: Taking taylor expansion of 1/3 in J 12.396 * [backup-simplify]: Simplify 1/3 into 1/3 12.396 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 12.396 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 12.396 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 12.396 * [taylor]: Taking taylor expansion of 1/4 in J 12.396 * [backup-simplify]: Simplify 1/4 into 1/4 12.396 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 12.396 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.396 * [taylor]: Taking taylor expansion of J in J 12.396 * [backup-simplify]: Simplify 0 into 0 12.396 * [backup-simplify]: Simplify 1 into 1 12.396 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 12.396 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 12.396 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 12.396 * [taylor]: Taking taylor expansion of 1/2 in J 12.396 * [backup-simplify]: Simplify 1/2 into 1/2 12.396 * [taylor]: Taking taylor expansion of K in J 12.396 * [backup-simplify]: Simplify K into K 12.396 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.396 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.396 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.396 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.396 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.397 * [backup-simplify]: Simplify (- 0) into 0 12.397 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.397 * [backup-simplify]: Simplify (* 1 1) into 1 12.397 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.397 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 12.397 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 12.397 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 12.397 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 12.397 * [taylor]: Taking taylor expansion of 2 in J 12.397 * [backup-simplify]: Simplify 2 into 2 12.397 * [taylor]: Taking taylor expansion of (log U) in J 12.397 * [taylor]: Taking taylor expansion of U in J 12.397 * [backup-simplify]: Simplify U into U 12.397 * [backup-simplify]: Simplify (log U) into (log U) 12.398 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) 12.398 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 12.398 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 12.398 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 12.398 * [backup-simplify]: Simplify (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 12.398 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 12.398 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 12.398 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 12.398 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 12.398 * [taylor]: Taking taylor expansion of 1/2 in J 12.398 * [backup-simplify]: Simplify 1/2 into 1/2 12.398 * [taylor]: Taking taylor expansion of K in J 12.398 * [backup-simplify]: Simplify K into K 12.398 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.398 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.399 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.399 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.399 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.399 * [backup-simplify]: Simplify (- 0) into 0 12.399 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.399 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.399 * [taylor]: Taking taylor expansion of J in J 12.399 * [backup-simplify]: Simplify 0 into 0 12.399 * [backup-simplify]: Simplify 1 into 1 12.399 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.399 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) into (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 12.400 * [backup-simplify]: Simplify (* 1 1) into 1 12.400 * [backup-simplify]: Simplify (/ (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 1) into (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 12.400 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 12.400 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.401 * [backup-simplify]: Simplify (+ 0) into 0 12.401 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.401 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.402 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.402 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.403 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 12.403 * [backup-simplify]: Simplify (- 0) into 0 12.403 * [backup-simplify]: Simplify (+ 0 0) into 0 12.403 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 12.404 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 12.404 * [backup-simplify]: Simplify (- 0) into 0 12.404 * [backup-simplify]: Simplify (+ 0 0) into 0 12.405 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 12.405 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.405 * [backup-simplify]: Simplify (+ 0) into 0 12.406 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 12.406 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 12.406 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.407 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 12.407 * [backup-simplify]: Simplify (- 0) into 0 12.407 * [backup-simplify]: Simplify (+ 0 0) into 0 12.407 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 12.407 * [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 12.408 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 12.408 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 12.409 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 12.410 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 12.410 * [backup-simplify]: Simplify (- 0) into 0 12.410 * [backup-simplify]: Simplify (+ 0 0) into 0 12.410 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 12.411 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 12.411 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 12.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.412 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.413 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.413 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.413 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.414 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 12.414 * [backup-simplify]: Simplify (- 0) into 0 12.414 * [backup-simplify]: Simplify (+ 0 0) into 0 12.415 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 12.415 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 12.415 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 12.416 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 2) into 0 12.417 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 12.418 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 12.418 * [backup-simplify]: Simplify (- 0) into 0 12.418 * [backup-simplify]: Simplify (+ 0 0) into 0 12.419 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0 12.420 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.421 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 12.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.423 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 12.423 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.424 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)))) into 0 12.426 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.427 * [backup-simplify]: Simplify (+ (* 4/3 0) (+ (* 0 0) (* 0 (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2))))) into 0 12.427 * [taylor]: Taking taylor expansion of 0 in K 12.427 * [backup-simplify]: Simplify 0 into 0 12.427 * [backup-simplify]: Simplify 0 into 0 12.427 * [taylor]: Taking taylor expansion of 0 in K 12.427 * [backup-simplify]: Simplify 0 into 0 12.427 * [backup-simplify]: Simplify 0 into 0 12.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.429 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.430 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.430 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.431 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.432 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 12.432 * [backup-simplify]: Simplify (- 0) into 0 12.432 * [backup-simplify]: Simplify (+ 0 0) into 0 12.433 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 12.433 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 12.434 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 12.436 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 2) into 0 12.438 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 12.438 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 12.439 * [backup-simplify]: Simplify (- 0) into 0 12.439 * [backup-simplify]: Simplify (+ 0 0) into 0 12.440 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0 12.447 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.447 * [taylor]: Taking taylor expansion of 0 in K 12.447 * [backup-simplify]: Simplify 0 into 0 12.447 * [backup-simplify]: Simplify 0 into 0 12.447 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log (/ 1 J))) (log (/ 1/4 (pow (cos (/ 1/2 (/ 1 K))) 2)))) (* 2 (log (/ 1 U)))))) into (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ 1 J)))) (* 2 (log (/ 1 U)))))) 12.449 * [backup-simplify]: Simplify (sqrt (* (cbrt (+ (* (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) 1)) (cbrt (+ (* (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) 1)))) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/3) 12.449 * [approximate]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/3) in (U J K) around 0 12.449 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/3) in K 12.449 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K 12.449 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K 12.449 * [taylor]: Taking taylor expansion of 1/3 in K 12.449 * [backup-simplify]: Simplify 1/3 into 1/3 12.449 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 12.449 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 12.449 * [taylor]: Taking taylor expansion of 1 in K 12.449 * [backup-simplify]: Simplify 1 into 1 12.449 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 12.449 * [taylor]: Taking taylor expansion of 1/4 in K 12.449 * [backup-simplify]: Simplify 1/4 into 1/4 12.449 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 12.449 * [taylor]: Taking taylor expansion of (pow J 2) in K 12.449 * [taylor]: Taking taylor expansion of J in K 12.449 * [backup-simplify]: Simplify J into J 12.449 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 12.449 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 12.449 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 12.449 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 12.449 * [taylor]: Taking taylor expansion of -1/2 in K 12.449 * [backup-simplify]: Simplify -1/2 into -1/2 12.449 * [taylor]: Taking taylor expansion of K in K 12.449 * [backup-simplify]: Simplify 0 into 0 12.449 * [backup-simplify]: Simplify 1 into 1 12.450 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.450 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.450 * [taylor]: Taking taylor expansion of (pow U 2) in K 12.450 * [taylor]: Taking taylor expansion of U in K 12.450 * [backup-simplify]: Simplify U into U 12.450 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.450 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.450 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.451 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 12.451 * [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))) 12.451 * [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)))) 12.451 * [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))))) 12.452 * [backup-simplify]: Simplify (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 12.452 * [backup-simplify]: Simplify (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 12.452 * [backup-simplify]: Simplify (exp (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/3) 12.452 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/3) in J 12.453 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J 12.453 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 12.453 * [taylor]: Taking taylor expansion of 1/3 in J 12.453 * [backup-simplify]: Simplify 1/3 into 1/3 12.453 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 12.453 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 12.453 * [taylor]: Taking taylor expansion of 1 in J 12.453 * [backup-simplify]: Simplify 1 into 1 12.453 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 12.453 * [taylor]: Taking taylor expansion of 1/4 in J 12.453 * [backup-simplify]: Simplify 1/4 into 1/4 12.453 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 12.453 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.453 * [taylor]: Taking taylor expansion of J in J 12.453 * [backup-simplify]: Simplify 0 into 0 12.453 * [backup-simplify]: Simplify 1 into 1 12.453 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 12.453 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 12.453 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 12.453 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 12.453 * [taylor]: Taking taylor expansion of -1/2 in J 12.453 * [backup-simplify]: Simplify -1/2 into -1/2 12.453 * [taylor]: Taking taylor expansion of K in J 12.453 * [backup-simplify]: Simplify K into K 12.453 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.453 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.453 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.454 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.454 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.454 * [backup-simplify]: Simplify (- 0) into 0 12.454 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.454 * [taylor]: Taking taylor expansion of (pow U 2) in J 12.454 * [taylor]: Taking taylor expansion of U in J 12.455 * [backup-simplify]: Simplify U into U 12.455 * [backup-simplify]: Simplify (* 1 1) into 1 12.455 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.455 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.455 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 12.456 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 12.456 * [backup-simplify]: Simplify (+ 1 0) into 1 12.456 * [backup-simplify]: Simplify (log 1) into 0 12.457 * [backup-simplify]: Simplify (* 1/3 0) into 0 12.457 * [backup-simplify]: Simplify (+ 0 0) into 0 12.458 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 12.459 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 12.459 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 12.459 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 12.461 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 12.462 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 0))) into (* 1/12 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 12.462 * [backup-simplify]: Simplify (exp 0) into 1 12.462 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/3) in U 12.462 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 12.462 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 12.462 * [taylor]: Taking taylor expansion of 1/3 in U 12.462 * [backup-simplify]: Simplify 1/3 into 1/3 12.462 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 12.462 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 12.462 * [taylor]: Taking taylor expansion of 1 in U 12.463 * [backup-simplify]: Simplify 1 into 1 12.463 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 12.463 * [taylor]: Taking taylor expansion of 1/4 in U 12.463 * [backup-simplify]: Simplify 1/4 into 1/4 12.463 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 12.463 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.463 * [taylor]: Taking taylor expansion of J in U 12.463 * [backup-simplify]: Simplify J into J 12.463 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 12.463 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 12.463 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 12.463 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 12.463 * [taylor]: Taking taylor expansion of -1/2 in U 12.463 * [backup-simplify]: Simplify -1/2 into -1/2 12.463 * [taylor]: Taking taylor expansion of K in U 12.463 * [backup-simplify]: Simplify K into K 12.463 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.463 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.463 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.463 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.463 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.464 * [backup-simplify]: Simplify (- 0) into 0 12.464 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.464 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.464 * [taylor]: Taking taylor expansion of U in U 12.464 * [backup-simplify]: Simplify 0 into 0 12.464 * [backup-simplify]: Simplify 1 into 1 12.464 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.464 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.464 * [backup-simplify]: Simplify (* 1 1) into 1 12.464 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 12.465 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 12.465 * [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))) 12.465 * [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))) 12.465 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 12.466 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 12.466 * [backup-simplify]: Simplify (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 12.466 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 12.466 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/3) in U 12.467 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 12.467 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 12.467 * [taylor]: Taking taylor expansion of 1/3 in U 12.467 * [backup-simplify]: Simplify 1/3 into 1/3 12.467 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 12.467 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 12.467 * [taylor]: Taking taylor expansion of 1 in U 12.467 * [backup-simplify]: Simplify 1 into 1 12.467 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 12.467 * [taylor]: Taking taylor expansion of 1/4 in U 12.467 * [backup-simplify]: Simplify 1/4 into 1/4 12.467 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 12.467 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.467 * [taylor]: Taking taylor expansion of J in U 12.467 * [backup-simplify]: Simplify J into J 12.467 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 12.467 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 12.467 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 12.467 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 12.467 * [taylor]: Taking taylor expansion of -1/2 in U 12.467 * [backup-simplify]: Simplify -1/2 into -1/2 12.467 * [taylor]: Taking taylor expansion of K in U 12.467 * [backup-simplify]: Simplify K into K 12.467 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.467 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.467 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.467 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.467 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.468 * [backup-simplify]: Simplify (- 0) into 0 12.468 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.468 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.468 * [taylor]: Taking taylor expansion of U in U 12.468 * [backup-simplify]: Simplify 0 into 0 12.468 * [backup-simplify]: Simplify 1 into 1 12.468 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.468 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.469 * [backup-simplify]: Simplify (* 1 1) into 1 12.469 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 12.469 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 12.469 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 12.469 * [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))) 12.470 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 12.470 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 12.471 * [backup-simplify]: Simplify (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 12.471 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 12.471 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J 12.471 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 12.471 * [taylor]: Taking taylor expansion of 1/3 in J 12.471 * [backup-simplify]: Simplify 1/3 into 1/3 12.471 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 12.471 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 12.471 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 12.471 * [taylor]: Taking taylor expansion of 1/4 in J 12.471 * [backup-simplify]: Simplify 1/4 into 1/4 12.471 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 12.471 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.471 * [taylor]: Taking taylor expansion of J in J 12.471 * [backup-simplify]: Simplify 0 into 0 12.471 * [backup-simplify]: Simplify 1 into 1 12.471 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 12.471 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 12.471 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 12.471 * [taylor]: Taking taylor expansion of -1/2 in J 12.471 * [backup-simplify]: Simplify -1/2 into -1/2 12.471 * [taylor]: Taking taylor expansion of K in J 12.471 * [backup-simplify]: Simplify K into K 12.471 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.472 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.472 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.472 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.472 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.472 * [backup-simplify]: Simplify (- 0) into 0 12.472 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.473 * [backup-simplify]: Simplify (* 1 1) into 1 12.473 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.473 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 12.473 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 12.473 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 12.473 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 12.473 * [taylor]: Taking taylor expansion of 2 in J 12.473 * [backup-simplify]: Simplify 2 into 2 12.473 * [taylor]: Taking taylor expansion of (log U) in J 12.473 * [taylor]: Taking taylor expansion of U in J 12.473 * [backup-simplify]: Simplify U into U 12.473 * [backup-simplify]: Simplify (log U) into (log U) 12.474 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) 12.474 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 12.474 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 12.474 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 12.475 * [backup-simplify]: Simplify (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 12.475 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 12.475 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in K 12.475 * [taylor]: Taking taylor expansion of (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in K 12.475 * [taylor]: Taking taylor expansion of 1/3 in K 12.475 * [backup-simplify]: Simplify 1/3 into 1/3 12.475 * [taylor]: Taking taylor expansion of (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in K 12.475 * [taylor]: Taking taylor expansion of (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) in K 12.475 * [taylor]: Taking taylor expansion of (* 2 (log J)) in K 12.475 * [taylor]: Taking taylor expansion of 2 in K 12.475 * [backup-simplify]: Simplify 2 into 2 12.475 * [taylor]: Taking taylor expansion of (log J) in K 12.475 * [taylor]: Taking taylor expansion of J in K 12.475 * [backup-simplify]: Simplify J into J 12.475 * [backup-simplify]: Simplify (log J) into (log J) 12.475 * [taylor]: Taking taylor expansion of (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) in K 12.475 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ -1/2 K)) 2)) in K 12.476 * [taylor]: Taking taylor expansion of 1/4 in K 12.476 * [backup-simplify]: Simplify 1/4 into 1/4 12.476 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 12.476 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 12.476 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 12.476 * [taylor]: Taking taylor expansion of -1/2 in K 12.476 * [backup-simplify]: Simplify -1/2 into -1/2 12.476 * [taylor]: Taking taylor expansion of K in K 12.476 * [backup-simplify]: Simplify 0 into 0 12.476 * [backup-simplify]: Simplify 1 into 1 12.476 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.476 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.476 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.477 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 12.477 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 12.477 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 12.477 * [taylor]: Taking taylor expansion of 2 in K 12.477 * [backup-simplify]: Simplify 2 into 2 12.477 * [taylor]: Taking taylor expansion of (log U) in K 12.477 * [taylor]: Taking taylor expansion of U in K 12.477 * [backup-simplify]: Simplify U into U 12.477 * [backup-simplify]: Simplify (log U) into (log U) 12.477 * [backup-simplify]: Simplify (* 2 (log J)) into (* 2 (log J)) 12.477 * [backup-simplify]: Simplify (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) 12.477 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 12.477 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 12.478 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 12.478 * [backup-simplify]: Simplify (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 12.478 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 12.478 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 12.479 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.479 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.480 * [backup-simplify]: Simplify (+ 0) into 0 12.480 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 12.481 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 12.481 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.482 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 12.482 * [backup-simplify]: Simplify (- 0) into 0 12.483 * [backup-simplify]: Simplify (+ 0 0) into 0 12.483 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 12.483 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 12.484 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 12.485 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 12.485 * [backup-simplify]: Simplify (+ 0 0) into 0 12.486 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 1) into 0 12.487 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 12.488 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 12.489 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 12.489 * [taylor]: Taking taylor expansion of 0 in J 12.489 * [backup-simplify]: Simplify 0 into 0 12.489 * [taylor]: Taking taylor expansion of 0 in K 12.489 * [backup-simplify]: Simplify 0 into 0 12.489 * [backup-simplify]: Simplify 0 into 0 12.489 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.490 * [backup-simplify]: Simplify (+ 0) into 0 12.490 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 12.491 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 12.491 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.492 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 12.492 * [backup-simplify]: Simplify (- 0) into 0 12.492 * [backup-simplify]: Simplify (+ 0 0) into 0 12.493 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 12.493 * [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 12.493 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 12.494 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 12.495 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 12.495 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 12.496 * [backup-simplify]: Simplify (- 0) into 0 12.496 * [backup-simplify]: Simplify (+ 0 0) into 0 12.497 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 12.498 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 12.498 * [taylor]: Taking taylor expansion of 0 in K 12.498 * [backup-simplify]: Simplify 0 into 0 12.498 * [backup-simplify]: Simplify 0 into 0 12.499 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 12.499 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log J))) into 0 12.499 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 12.500 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 12.501 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 12.501 * [backup-simplify]: Simplify (+ 0 0) into 0 12.502 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 12.502 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 12.503 * [backup-simplify]: Simplify (- 0) into 0 12.503 * [backup-simplify]: Simplify (+ 0 0) into 0 12.504 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 12.505 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 12.505 * [backup-simplify]: Simplify 0 into 0 12.505 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 12.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.507 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.508 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.508 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.509 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.509 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 12.510 * [backup-simplify]: Simplify (- 0) into 0 12.510 * [backup-simplify]: Simplify (+ 0 0) into 0 12.511 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 12.511 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 12.512 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 12.513 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 12.513 * [backup-simplify]: Simplify (+ 1 0) into 1 12.515 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 2) into (* 4 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 12.516 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 12.517 * [backup-simplify]: Simplify (+ (* 1/3 (* 4 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (* 4/3 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 12.518 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 4/3 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 1) 1)))) into (* 4/3 (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2))) 12.518 * [taylor]: Taking taylor expansion of (* 4/3 (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2))) in J 12.518 * [taylor]: Taking taylor expansion of 4/3 in J 12.518 * [backup-simplify]: Simplify 4/3 into 4/3 12.518 * [taylor]: Taking taylor expansion of (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) in J 12.518 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) in J 12.518 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 12.518 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 12.518 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 12.518 * [taylor]: Taking taylor expansion of -1/2 in J 12.518 * [backup-simplify]: Simplify -1/2 into -1/2 12.518 * [taylor]: Taking taylor expansion of K in J 12.518 * [backup-simplify]: Simplify K into K 12.518 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.518 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.519 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.519 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.519 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.519 * [backup-simplify]: Simplify (- 0) into 0 12.519 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.519 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J 12.519 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 12.519 * [taylor]: Taking taylor expansion of 1/3 in J 12.519 * [backup-simplify]: Simplify 1/3 into 1/3 12.519 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 12.519 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 12.519 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 12.519 * [taylor]: Taking taylor expansion of 1/4 in J 12.519 * [backup-simplify]: Simplify 1/4 into 1/4 12.519 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 12.520 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.520 * [taylor]: Taking taylor expansion of J in J 12.520 * [backup-simplify]: Simplify 0 into 0 12.520 * [backup-simplify]: Simplify 1 into 1 12.520 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 12.520 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 12.520 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 12.520 * [taylor]: Taking taylor expansion of -1/2 in J 12.520 * [backup-simplify]: Simplify -1/2 into -1/2 12.520 * [taylor]: Taking taylor expansion of K in J 12.520 * [backup-simplify]: Simplify K into K 12.520 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.520 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.520 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.520 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.520 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.521 * [backup-simplify]: Simplify (- 0) into 0 12.521 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.521 * [backup-simplify]: Simplify (* 1 1) into 1 12.521 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.521 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 12.521 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 12.522 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 12.522 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 12.522 * [taylor]: Taking taylor expansion of 2 in J 12.522 * [backup-simplify]: Simplify 2 into 2 12.522 * [taylor]: Taking taylor expansion of (log U) in J 12.522 * [taylor]: Taking taylor expansion of U in J 12.522 * [backup-simplify]: Simplify U into U 12.522 * [backup-simplify]: Simplify (log U) into (log U) 12.522 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) 12.523 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 12.523 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 12.523 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 12.523 * [backup-simplify]: Simplify (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 12.523 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 12.523 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.524 * [taylor]: Taking taylor expansion of J in J 12.524 * [backup-simplify]: Simplify 0 into 0 12.524 * [backup-simplify]: Simplify 1 into 1 12.524 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.524 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 12.525 * [backup-simplify]: Simplify (* 1 1) into 1 12.525 * [backup-simplify]: Simplify (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 1) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 12.526 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.526 * [backup-simplify]: Simplify (+ 0) into 0 12.527 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 12.527 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 12.527 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.528 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 12.528 * [backup-simplify]: Simplify (- 0) into 0 12.529 * [backup-simplify]: Simplify (+ 0 0) into 0 12.529 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 12.529 * [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 12.530 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 12.531 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 12.531 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 12.532 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 12.532 * [backup-simplify]: Simplify (- 0) into 0 12.533 * [backup-simplify]: Simplify (+ 0 0) into 0 12.533 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 12.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.535 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.536 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.537 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.537 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.538 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 12.538 * [backup-simplify]: Simplify (- 0) into 0 12.539 * [backup-simplify]: Simplify (+ 0 0) into 0 12.539 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 12.540 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 12.541 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 12.542 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 2) into 0 12.544 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 12.545 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 12.545 * [backup-simplify]: Simplify (- 0) into 0 12.546 * [backup-simplify]: Simplify (+ 0 0) into 0 12.547 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 12.548 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.549 * [backup-simplify]: Simplify (+ 0) into 0 12.549 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 12.550 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 12.550 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.551 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 12.551 * [backup-simplify]: Simplify (- 0) into 0 12.552 * [backup-simplify]: Simplify (+ 0 0) into 0 12.552 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 12.553 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 12.554 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.555 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.555 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.556 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.556 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 12.557 * [backup-simplify]: Simplify (- 0) into 0 12.557 * [backup-simplify]: Simplify (+ 0 0) into 0 12.558 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 12.558 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))))) into 0 12.559 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.560 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))))) into 0 12.560 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.562 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)))) into 0 12.563 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.565 * [backup-simplify]: Simplify (+ (* 4/3 0) (+ (* 0 0) (* 0 (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))))))) into 0 12.565 * [taylor]: Taking taylor expansion of 0 in K 12.565 * [backup-simplify]: Simplify 0 into 0 12.565 * [backup-simplify]: Simplify 0 into 0 12.565 * [taylor]: Taking taylor expansion of 0 in K 12.565 * [backup-simplify]: Simplify 0 into 0 12.565 * [backup-simplify]: Simplify 0 into 0 12.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.567 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.568 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.568 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.568 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.569 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 12.569 * [backup-simplify]: Simplify (- 0) into 0 12.570 * [backup-simplify]: Simplify (+ 0 0) into 0 12.570 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 12.571 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 12.572 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 12.573 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 2) into 0 12.575 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 12.576 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 12.576 * [backup-simplify]: Simplify (- 0) into 0 12.576 * [backup-simplify]: Simplify (+ 0 0) into 0 12.577 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 12.579 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.579 * [taylor]: Taking taylor expansion of 0 in K 12.579 * [backup-simplify]: Simplify 0 into 0 12.579 * [backup-simplify]: Simplify 0 into 0 12.579 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log (/ 1 (- J)))) (log (/ 1/4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)))) (* 2 (log (/ 1 (- U))))))) into (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ -1 J)))) (* 2 (log (/ -1 U)))))) 12.580 * * * [progress]: simplifying candidates 12.580 * * * * [progress]: [ 1 / 82 ] simplifiying candidate # 12.580 * * * * [progress]: [ 2 / 82 ] simplifiying candidate # 12.580 * * * * [progress]: [ 3 / 82 ] simplifiying candidate # 12.580 * * * * [progress]: [ 4 / 82 ] simplifiying candidate # 12.580 * * * * [progress]: [ 5 / 82 ] simplifiying candidate # 12.580 * * * * [progress]: [ 6 / 82 ] simplifiying candidate # 12.580 * * * * [progress]: [ 7 / 82 ] simplifiying candidate # 12.580 * * * * [progress]: [ 8 / 82 ] simplifiying candidate # 12.580 * * * * [progress]: [ 9 / 82 ] simplifiying candidate # 12.580 * * * * [progress]: [ 10 / 82 ] simplifiying candidate # 12.580 * * * * [progress]: [ 11 / 82 ] simplifiying candidate # 12.581 * * * * [progress]: [ 12 / 82 ] simplifiying candidate # 12.581 * * * * [progress]: [ 13 / 82 ] simplifiying candidate # 12.581 * * * * [progress]: [ 14 / 82 ] simplifiying candidate #real (real->posit16 (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (cos (/ K 2)) (* -2 J)))))> 12.581 * * * * [progress]: [ 15 / 82 ] simplifiying candidate # 12.581 * * * * [progress]: [ 16 / 82 ] simplifiying candidate # 12.581 * * * * [progress]: [ 17 / 82 ] simplifiying candidate # 12.581 * * * * [progress]: [ 18 / 82 ] simplifiying candidate # 12.581 * * * * [progress]: [ 19 / 82 ] simplifiying candidate # 12.581 * * * * [progress]: [ 20 / 82 ] simplifiying candidate # 12.581 * * * * [progress]: [ 21 / 82 ] simplifiying candidate # 12.581 * * * * [progress]: [ 22 / 82 ] simplifiying candidate # 12.581 * * * * [progress]: [ 23 / 82 ] simplifiying candidate # 12.581 * * * * [progress]: [ 24 / 82 ] simplifiying candidate # 12.582 * * * * [progress]: [ 25 / 82 ] simplifiying candidate # 12.582 * * * * [progress]: [ 26 / 82 ] simplifiying candidate # 12.582 * * * * [progress]: [ 27 / 82 ] simplifiying candidate # 12.582 * * * * [progress]: [ 28 / 82 ] simplifiying candidate #real (real->posit16 (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))) (* (sqrt (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))> 12.582 * * * * [progress]: [ 29 / 82 ] simplifiying candidate # 12.582 * * * * [progress]: [ 30 / 82 ] simplifiying candidate # 12.582 * * * * [progress]: [ 31 / 82 ] simplifiying candidate # 12.582 * * * * [progress]: [ 32 / 82 ] simplifiying candidate # 12.582 * * * * [progress]: [ 33 / 82 ] simplifiying candidate # 12.582 * * * * [progress]: [ 34 / 82 ] simplifiying candidate # 12.582 * * * * [progress]: [ 35 / 82 ] simplifiying candidate # 12.582 * * * * [progress]: [ 36 / 82 ] simplifiying candidate # 12.583 * * * * [progress]: [ 37 / 82 ] simplifiying candidate # 12.583 * * * * [progress]: [ 38 / 82 ] simplifiying candidate # 12.583 * * * * [progress]: [ 39 / 82 ] simplifiying candidate # 12.583 * * * * [progress]: [ 40 / 82 ] simplifiying candidate # 12.583 * * * * [progress]: [ 41 / 82 ] simplifiying candidate # 12.583 * * * * [progress]: [ 42 / 82 ] simplifiying candidate #real (real->posit16 (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (sqrt (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))> 12.583 * * * * [progress]: [ 43 / 82 ] simplifiying candidate # 12.583 * * * * [progress]: [ 44 / 82 ] simplifiying candidate # 12.583 * * * * [progress]: [ 45 / 82 ] simplifiying candidate # 12.584 * * * * [progress]: [ 46 / 82 ] simplifiying candidate # 12.584 * * * * [progress]: [ 47 / 82 ] simplifiying candidate # 12.584 * * * * [progress]: [ 48 / 82 ] simplifiying candidate # 12.584 * * * * [progress]: [ 49 / 82 ] simplifiying candidate # 12.584 * * * * [progress]: [ 50 / 82 ] simplifiying candidate # 12.584 * * * * [progress]: [ 51 / 82 ] simplifiying candidate # 12.584 * * * * [progress]: [ 52 / 82 ] simplifiying candidate # 12.584 * * * * [progress]: [ 53 / 82 ] simplifiying candidate # 12.584 * * * * [progress]: [ 54 / 82 ] simplifiying candidate # 12.584 * * * * [progress]: [ 55 / 82 ] simplifiying candidate # 12.585 * * * * [progress]: [ 56 / 82 ] simplifiying candidate # 12.585 * * * * [progress]: [ 57 / 82 ] simplifiying candidate # 12.585 * * * * [progress]: [ 58 / 82 ] simplifiying candidate # 12.585 * * * * [progress]: [ 59 / 82 ] simplifiying candidate # 12.585 * * * * [progress]: [ 60 / 82 ] simplifiying candidate # 12.585 * * * * [progress]: [ 61 / 82 ] simplifiying candidate # 12.585 * * * * [progress]: [ 62 / 82 ] simplifiying candidate # 12.585 * * * * [progress]: [ 63 / 82 ] simplifiying candidate # 12.585 * * * * [progress]: [ 64 / 82 ] simplifiying candidate # 12.585 * * * * [progress]: [ 65 / 82 ] simplifiying candidate # 12.585 * * * * [progress]: [ 66 / 82 ] simplifiying candidate # 12.585 * * * * [progress]: [ 67 / 82 ] simplifiying candidate # 12.586 * * * * [progress]: [ 68 / 82 ] simplifiying candidate # 12.586 * * * * [progress]: [ 69 / 82 ] simplifiying candidate # 12.586 * * * * [progress]: [ 70 / 82 ] simplifiying candidate #real (real->posit16 (sqrt (* (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))) (* (sqrt (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))> 12.586 * * * * [progress]: [ 71 / 82 ] simplifiying candidate # 12.586 * * * * [progress]: [ 72 / 82 ] simplifiying candidate # 12.586 * * * * [progress]: [ 73 / 82 ] simplifiying candidate # 12.586 * * * * [progress]: [ 74 / 82 ] simplifiying candidate # 12.586 * * * * [progress]: [ 75 / 82 ] simplifiying candidate # 12.586 * * * * [progress]: [ 76 / 82 ] simplifiying candidate # 12.586 * * * * [progress]: [ 77 / 82 ] simplifiying candidate # 12.586 * * * * [progress]: [ 78 / 82 ] simplifiying candidate # 12.586 * * * * [progress]: [ 79 / 82 ] simplifiying candidate # 12.587 * * * * [progress]: [ 80 / 82 ] simplifiying candidate # 12.587 * * * * [progress]: [ 81 / 82 ] simplifiying candidate # 12.587 * * * * [progress]: [ 82 / 82 ] simplifiying candidate # 12.589 * [simplify]: Simplifying: (log (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (exp (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U 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K 2))))) 1)))) (sqrt (cbrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (sqrt (* (cbrt (- (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* 1 1))) (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (sqrt (cbrt (- (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (/ (+ 1/3 1/3) 2) (/ (+ 1 1) 2) (/ 1/3 2) (/ 1 2) (/ 2 2) (/ (+ 1 1) 2) (/ 1 2) (/ (* 2 1/3) 2) (/ (* 2 1) 2) (sqrt (sqrt (* (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (sqrt (sqrt (* (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (real->posit16 (sqrt (* (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) 1 (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ 1 J)))) (* 2 (log (/ 1 U)))))) (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ -1 J)))) (* 2 (log (/ -1 U)))))) 1 (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ 1 J)))) (* 2 (log (/ 1 U)))))) (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ -1 J)))) (* 2 (log (/ -1 U)))))) 1 (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ 1 J)))) (* 2 (log (/ 1 U)))))) (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ -1 J)))) (* 2 (log (/ -1 U)))))) 1 (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ 1 J)))) (* 2 (log (/ 1 U)))))) (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ -1 J)))) (* 2 (log (/ -1 U)))))) 12.594 * * [simplify]: iteration 1: (115 enodes) 12.665 * * [simplify]: iteration 2: (203 enodes) 12.736 * * [simplify]: iteration 3: (444 enodes) 13.474 * * [simplify]: iteration 4: (1886 enodes) 24.898 * * [simplify]: Extracting #0: cost 37 inf + 0 24.898 * * [simplify]: Extracting #1: cost 98 inf + 4 24.899 * * [simplify]: Extracting #2: cost 504 inf + 76 24.905 * * [simplify]: Extracting #3: cost 2056 inf + 1413 24.924 * * [simplify]: Extracting #4: cost 4313 inf + 17818 24.955 * * [simplify]: Extracting #5: cost 4071 inf + 69689 25.014 * * [simplify]: Extracting #6: cost 3909 inf + 110936 25.257 * * [simplify]: Extracting #7: cost 1822 inf + 894939 25.835 * * [simplify]: Extracting #8: cost 127 inf + 1591554 26.792 * * [simplify]: Extracting #9: cost 6 inf + 1611091 27.375 * * [simplify]: Extracting #10: cost 0 inf + 1604733 27.997 * * [simplify]: Extracting #11: cost 0 inf + 1603902 28.497 * [simplify]: Simplified to: (log (cbrt (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1))) (exp (cbrt (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1))) (cbrt (* (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)))) (cbrt (cbrt (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1))) (cbrt (sqrt (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1))) (cbrt (sqrt (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1))) 1 (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))) (* (* (/ (/ 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)) (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)))) 1) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (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)))) -1)) (cbrt (- (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1)) (* (cbrt (cbrt (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1))) (cbrt (cbrt (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1)))) (cbrt (cbrt (+ (* (/ (/ 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))) 1) (sqrt (cbrt (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1))) (sqrt (cbrt (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1))) (real->posit16 (cbrt (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1))) (log (cbrt (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1))) (exp (cbrt (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1))) (cbrt (* (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)))) (cbrt (cbrt (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1))) (cbrt (sqrt (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1))) (cbrt (sqrt (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1))) 1 (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))) (* (* (/ (/ 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)) (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)))) 1) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (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)))) -1)) (cbrt (- (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1)) (* (cbrt (cbrt (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1))) (cbrt (cbrt (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1)))) (cbrt (cbrt (+ (* (/ (/ 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))) 1) (sqrt (cbrt (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1))) (sqrt (cbrt (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1))) (real->posit16 (cbrt (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1))) (log (cbrt (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1))) (exp (cbrt (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1))) (cbrt (* (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)))) (cbrt (cbrt (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1))) (cbrt (sqrt (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1))) (cbrt (sqrt (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1))) 1 (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))) (* (* (/ (/ 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)) (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)))) 1) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (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)))) -1)) (cbrt (- (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1)) (* (cbrt (cbrt (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1))) (cbrt (cbrt (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1)))) (cbrt (cbrt (+ (* (/ (/ 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))) 1) (sqrt (cbrt (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1))) (sqrt (cbrt (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1))) (real->posit16 (cbrt (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1))) (log (fabs (cbrt (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1)))) (exp (fabs (cbrt (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1)))) (* (cbrt (fabs (cbrt (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1)))) (cbrt (fabs (cbrt (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1))))) (cbrt (fabs (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)) (cbrt (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1))) (fabs (cbrt (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1)))) (sqrt (cbrt (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1))) (sqrt (cbrt (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1))) (fabs (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))) (fabs (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)))) 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))) (* (* (/ (/ 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)) (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)))) -1)))) (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))) (* (/ (/ 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))))))) (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)) (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)))) -1)))) (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))) (* (/ (/ 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))))))) (fabs (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)))) -1))) (fabs (cbrt (- (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1))) (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))) (* (* (/ (/ 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 (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)))) 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)) (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)))) -1)))) (sqrt (cbrt (- (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1))) (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))) (* (* (/ (/ 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 (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)))) 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)) (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)))) -1)))) (sqrt (cbrt (- (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1))) 1/3 1 1/6 1/2 1 1 1/2 1/3 1 (sqrt (fabs (cbrt (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1)))) (sqrt (fabs (cbrt (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1)))) (real->posit16 (fabs (cbrt (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1)))) 1 (exp (* (- (log (/ 1/4 (* (cos (* K 1/2)) (cos (* K 1/2))))) (* 2 (+ (log J) (- (log U))))) 1/3)) (exp (+ (* 1/3 (log (/ 1/4 (* (cos (* K 1/2)) (cos (* K 1/2)))))) (* 2/3 (- (log (/ -1 J)) (log (/ -1 U)))))) 1 (exp (* (- (log (/ 1/4 (* (cos (* K 1/2)) (cos (* K 1/2))))) (* 2 (+ (log J) (- (log U))))) 1/3)) (exp (+ (* 1/3 (log (/ 1/4 (* (cos (* K 1/2)) (cos (* K 1/2)))))) (* 2/3 (- (log (/ -1 J)) (log (/ -1 U)))))) 1 (exp (* (- (log (/ 1/4 (* (cos (* K 1/2)) (cos (* K 1/2))))) (* 2 (+ (log J) (- (log U))))) 1/3)) (exp (+ (* 1/3 (log (/ 1/4 (* (cos (* K 1/2)) (cos (* K 1/2)))))) (* 2/3 (- (log (/ -1 J)) (log (/ -1 U)))))) 1 (exp (* (- (log (/ 1/4 (* (cos (* K 1/2)) (cos (* K 1/2))))) (* 2 (+ (log J) (- (log U))))) 1/3)) (exp (+ (* 1/3 (log (/ 1/4 (* (cos (* K 1/2)) (cos (* K 1/2)))))) (* 2/3 (- (log (/ -1 J)) (log (/ -1 U)))))) 28.531 * * * [progress]: adding candidates to table 30.058 * * [progress]: iteration 4 / 4 30.058 * * * [progress]: picking best candidate 30.115 * * * * [pick]: Picked # 30.115 * * * [progress]: localizing error 30.206 * * * [progress]: generating rewritten candidates 30.206 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 30.364 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 30.733 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 2) 30.762 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 1) 30.777 * * * [progress]: generating series expansions 30.777 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 30.777 * [backup-simplify]: Simplify (sqrt (+ (/ (* (* (/ U J) (/ U J)) 1/4) (* (cos (* K 1/2)) (cos (* K 1/2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) 30.777 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U J K) around 0 30.777 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 30.777 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 30.777 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 30.777 * [taylor]: Taking taylor expansion of 1/4 in K 30.777 * [backup-simplify]: Simplify 1/4 into 1/4 30.777 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 30.777 * [taylor]: Taking taylor expansion of (pow U 2) in K 30.777 * [taylor]: Taking taylor expansion of U in K 30.777 * [backup-simplify]: Simplify U into U 30.777 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 30.777 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 30.777 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 30.777 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 30.777 * [taylor]: Taking taylor expansion of 1/2 in K 30.777 * [backup-simplify]: Simplify 1/2 into 1/2 30.777 * [taylor]: Taking taylor expansion of K in K 30.777 * [backup-simplify]: Simplify 0 into 0 30.777 * [backup-simplify]: Simplify 1 into 1 30.778 * [backup-simplify]: Simplify (* 1/2 0) into 0 30.778 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 30.778 * [taylor]: Taking taylor expansion of (pow J 2) in K 30.778 * [taylor]: Taking taylor expansion of J in K 30.778 * [backup-simplify]: Simplify J into J 30.779 * [backup-simplify]: Simplify (* U U) into (pow U 2) 30.779 * [backup-simplify]: Simplify (* 1 1) into 1 30.779 * [backup-simplify]: Simplify (* J J) into (pow J 2) 30.779 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 30.779 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 30.779 * [taylor]: Taking taylor expansion of 1 in K 30.779 * [backup-simplify]: Simplify 1 into 1 30.779 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 30.779 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 30.779 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 30.779 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 30.779 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 30.780 * [backup-simplify]: Simplify (+ 0) into 0 30.780 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 30.781 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 30.781 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 30.781 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 30.782 * [backup-simplify]: Simplify (+ 0 0) into 0 30.782 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 30.782 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 30.782 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 30.782 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 30.782 * [taylor]: Taking taylor expansion of 1/4 in J 30.782 * [backup-simplify]: Simplify 1/4 into 1/4 30.782 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 30.782 * [taylor]: Taking taylor expansion of (pow U 2) in J 30.782 * [taylor]: Taking taylor expansion of U in J 30.782 * [backup-simplify]: Simplify U into U 30.782 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 30.782 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 30.782 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 30.782 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 30.782 * [taylor]: Taking taylor expansion of 1/2 in J 30.782 * [backup-simplify]: Simplify 1/2 into 1/2 30.782 * [taylor]: Taking taylor expansion of K in J 30.782 * [backup-simplify]: Simplify K into K 30.782 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 30.782 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 30.782 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 30.782 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 30.782 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 30.783 * [backup-simplify]: Simplify (- 0) into 0 30.783 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 30.783 * [taylor]: Taking taylor expansion of (pow J 2) in J 30.783 * [taylor]: Taking taylor expansion of J in J 30.783 * [backup-simplify]: Simplify 0 into 0 30.783 * [backup-simplify]: Simplify 1 into 1 30.783 * [backup-simplify]: Simplify (* U U) into (pow U 2) 30.783 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 30.783 * [backup-simplify]: Simplify (* 1 1) into 1 30.783 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 30.783 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 30.783 * [taylor]: Taking taylor expansion of 1 in J 30.783 * [backup-simplify]: Simplify 1 into 1 30.783 * [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))) 30.784 * [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))) 30.784 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 30.784 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 30.784 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 30.784 * [backup-simplify]: Simplify (+ 0) into 0 30.785 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 30.785 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 30.786 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 30.786 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 30.786 * [backup-simplify]: Simplify (- 0) into 0 30.786 * [backup-simplify]: Simplify (+ 0 0) into 0 30.786 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 30.787 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 30.787 * [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 30.787 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 30.788 * [backup-simplify]: Simplify (+ 0 0) into 0 30.788 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 30.788 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 30.788 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 30.788 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 30.788 * [taylor]: Taking taylor expansion of 1/4 in U 30.788 * [backup-simplify]: Simplify 1/4 into 1/4 30.788 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 30.788 * [taylor]: Taking taylor expansion of (pow U 2) in U 30.788 * [taylor]: Taking taylor expansion of U in U 30.788 * [backup-simplify]: Simplify 0 into 0 30.788 * [backup-simplify]: Simplify 1 into 1 30.788 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 30.788 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 30.788 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 30.788 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 30.788 * [taylor]: Taking taylor expansion of 1/2 in U 30.788 * [backup-simplify]: Simplify 1/2 into 1/2 30.788 * [taylor]: Taking taylor expansion of K in U 30.788 * [backup-simplify]: Simplify K into K 30.788 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 30.788 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 30.788 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 30.788 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 30.788 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 30.789 * [backup-simplify]: Simplify (- 0) into 0 30.789 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 30.789 * [taylor]: Taking taylor expansion of (pow J 2) in U 30.789 * [taylor]: Taking taylor expansion of J in U 30.789 * [backup-simplify]: Simplify J into J 30.789 * [backup-simplify]: Simplify (* 1 1) into 1 30.789 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 30.789 * [backup-simplify]: Simplify (* J J) into (pow J 2) 30.789 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 30.789 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 30.789 * [taylor]: Taking taylor expansion of 1 in U 30.789 * [backup-simplify]: Simplify 1 into 1 30.790 * [backup-simplify]: Simplify (+ 0 1) into 1 30.790 * [backup-simplify]: Simplify (sqrt 1) into 1 30.790 * [backup-simplify]: Simplify (+ 0 0) into 0 30.790 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 30.791 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 30.791 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 30.791 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 30.791 * [taylor]: Taking taylor expansion of 1/4 in U 30.791 * [backup-simplify]: Simplify 1/4 into 1/4 30.791 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 30.791 * [taylor]: Taking taylor expansion of (pow U 2) in U 30.791 * [taylor]: Taking taylor expansion of U in U 30.791 * [backup-simplify]: Simplify 0 into 0 30.791 * [backup-simplify]: Simplify 1 into 1 30.791 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 30.791 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 30.791 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 30.791 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 30.791 * [taylor]: Taking taylor expansion of 1/2 in U 30.791 * [backup-simplify]: Simplify 1/2 into 1/2 30.791 * [taylor]: Taking taylor expansion of K in U 30.791 * [backup-simplify]: Simplify K into K 30.791 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 30.791 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 30.791 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 30.791 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 30.791 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 30.791 * [backup-simplify]: Simplify (- 0) into 0 30.791 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 30.791 * [taylor]: Taking taylor expansion of (pow J 2) in U 30.791 * [taylor]: Taking taylor expansion of J in U 30.791 * [backup-simplify]: Simplify J into J 30.792 * [backup-simplify]: Simplify (* 1 1) into 1 30.792 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 30.792 * [backup-simplify]: Simplify (* J J) into (pow J 2) 30.792 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 30.792 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 30.792 * [taylor]: Taking taylor expansion of 1 in U 30.792 * [backup-simplify]: Simplify 1 into 1 30.792 * [backup-simplify]: Simplify (+ 0 1) into 1 30.793 * [backup-simplify]: Simplify (sqrt 1) into 1 30.793 * [backup-simplify]: Simplify (+ 0 0) into 0 30.793 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 30.793 * [taylor]: Taking taylor expansion of 1 in J 30.793 * [backup-simplify]: Simplify 1 into 1 30.793 * [taylor]: Taking taylor expansion of 0 in J 30.793 * [backup-simplify]: Simplify 0 into 0 30.793 * [taylor]: Taking taylor expansion of 1 in K 30.793 * [backup-simplify]: Simplify 1 into 1 30.793 * [backup-simplify]: Simplify 1 into 1 30.794 * [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))) 30.794 * [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)))) 30.795 * [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))) 30.795 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 30.795 * [taylor]: Taking taylor expansion of 1/8 in J 30.795 * [backup-simplify]: Simplify 1/8 into 1/8 30.795 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 30.795 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 30.795 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 30.795 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 30.795 * [taylor]: Taking taylor expansion of 1/2 in J 30.795 * [backup-simplify]: Simplify 1/2 into 1/2 30.795 * [taylor]: Taking taylor expansion of K in J 30.795 * [backup-simplify]: Simplify K into K 30.795 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 30.795 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 30.795 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 30.795 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 30.795 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 30.795 * [backup-simplify]: Simplify (- 0) into 0 30.795 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 30.795 * [taylor]: Taking taylor expansion of (pow J 2) in J 30.795 * [taylor]: Taking taylor expansion of J in J 30.795 * [backup-simplify]: Simplify 0 into 0 30.795 * [backup-simplify]: Simplify 1 into 1 30.795 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 30.796 * [backup-simplify]: Simplify (* 1 1) into 1 30.796 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 30.796 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2)) 30.797 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 30.797 * [backup-simplify]: Simplify (+ 0) into 0 30.798 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 30.798 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 30.799 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 30.800 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 30.800 * [backup-simplify]: Simplify (- 0) into 0 30.800 * [backup-simplify]: Simplify (+ 0 0) into 0 30.801 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 30.801 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 30.801 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 30.802 * [taylor]: Taking taylor expansion of 0 in K 30.802 * [backup-simplify]: Simplify 0 into 0 30.802 * [backup-simplify]: Simplify 0 into 0 30.802 * [taylor]: Taking taylor expansion of 0 in K 30.802 * [backup-simplify]: Simplify 0 into 0 30.802 * [backup-simplify]: Simplify 0 into 0 30.802 * [taylor]: Taking taylor expansion of 0 in K 30.802 * [backup-simplify]: Simplify 0 into 0 30.802 * [backup-simplify]: Simplify 0 into 0 30.802 * [backup-simplify]: Simplify 0 into 0 30.803 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 30.803 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 30.803 * [backup-simplify]: Simplify (+ 0) into 0 30.804 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 30.804 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 30.805 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 30.805 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 30.806 * [backup-simplify]: Simplify (- 0) into 0 30.806 * [backup-simplify]: Simplify (+ 0 0) into 0 30.806 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 30.807 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 30.807 * [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 30.808 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 30.808 * [backup-simplify]: Simplify (+ 0 0) into 0 30.809 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 30.809 * [taylor]: Taking taylor expansion of 0 in J 30.809 * [backup-simplify]: Simplify 0 into 0 30.810 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 30.811 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 30.812 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 30.813 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 30.814 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 30.814 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 30.815 * [backup-simplify]: Simplify (- 0) into 0 30.815 * [backup-simplify]: Simplify (+ 0 0) into 0 30.816 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 30.817 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 30.817 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 30.817 * [taylor]: Taking taylor expansion of 0 in K 30.817 * [backup-simplify]: Simplify 0 into 0 30.817 * [backup-simplify]: Simplify 0 into 0 30.817 * [taylor]: Taking taylor expansion of 0 in K 30.817 * [backup-simplify]: Simplify 0 into 0 30.817 * [backup-simplify]: Simplify 0 into 0 30.817 * [backup-simplify]: Simplify 1 into 1 30.818 * [backup-simplify]: Simplify (sqrt (+ (/ (* (* (/ (/ 1 U) (/ 1 J)) (/ (/ 1 U) (/ 1 J))) 1/4) (* (cos (* (/ 1 K) 1/2)) (cos (* (/ 1 K) 1/2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 30.818 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U J K) around 0 30.818 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 30.818 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 30.818 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 30.818 * [taylor]: Taking taylor expansion of 1/4 in K 30.818 * [backup-simplify]: Simplify 1/4 into 1/4 30.818 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 30.818 * [taylor]: Taking taylor expansion of (pow J 2) in K 30.818 * [taylor]: Taking taylor expansion of J in K 30.818 * [backup-simplify]: Simplify J into J 30.818 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 30.818 * [taylor]: Taking taylor expansion of (pow U 2) in K 30.818 * [taylor]: Taking taylor expansion of U in K 30.819 * [backup-simplify]: Simplify U into U 30.819 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 30.819 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 30.819 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 30.819 * [taylor]: Taking taylor expansion of 1/2 in K 30.819 * [backup-simplify]: Simplify 1/2 into 1/2 30.819 * [taylor]: Taking taylor expansion of K in K 30.819 * [backup-simplify]: Simplify 0 into 0 30.819 * [backup-simplify]: Simplify 1 into 1 30.819 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 30.820 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 30.820 * [backup-simplify]: Simplify (* J J) into (pow J 2) 30.820 * [backup-simplify]: Simplify (* U U) into (pow U 2) 30.820 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 30.820 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 30.820 * [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))) 30.820 * [taylor]: Taking taylor expansion of 1 in K 30.820 * [backup-simplify]: Simplify 1 into 1 30.821 * [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)))) 30.821 * [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) 30.821 * [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)) 30.821 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 30.822 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 30.822 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 30.822 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 30.823 * [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 30.823 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 30.824 * [backup-simplify]: Simplify (+ 0 0) into 0 30.824 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 30.824 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 30.824 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 30.824 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 30.825 * [taylor]: Taking taylor expansion of 1/4 in J 30.825 * [backup-simplify]: Simplify 1/4 into 1/4 30.825 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 30.825 * [taylor]: Taking taylor expansion of (pow J 2) in J 30.825 * [taylor]: Taking taylor expansion of J in J 30.825 * [backup-simplify]: Simplify 0 into 0 30.825 * [backup-simplify]: Simplify 1 into 1 30.825 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 30.825 * [taylor]: Taking taylor expansion of (pow U 2) in J 30.825 * [taylor]: Taking taylor expansion of U in J 30.825 * [backup-simplify]: Simplify U into U 30.825 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 30.825 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 30.825 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 30.825 * [taylor]: Taking taylor expansion of 1/2 in J 30.825 * [backup-simplify]: Simplify 1/2 into 1/2 30.825 * [taylor]: Taking taylor expansion of K in J 30.825 * [backup-simplify]: Simplify K into K 30.825 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 30.825 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 30.825 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 30.825 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 30.825 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 30.826 * [backup-simplify]: Simplify (- 0) into 0 30.826 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 30.827 * [backup-simplify]: Simplify (* 1 1) into 1 30.827 * [backup-simplify]: Simplify (* U U) into (pow U 2) 30.827 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 30.827 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 30.827 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 30.827 * [taylor]: Taking taylor expansion of 1 in J 30.827 * [backup-simplify]: Simplify 1 into 1 30.828 * [backup-simplify]: Simplify (+ 0 1) into 1 30.829 * [backup-simplify]: Simplify (sqrt 1) into 1 30.829 * [backup-simplify]: Simplify (+ 0 0) into 0 30.830 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 30.830 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 30.830 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 30.830 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 30.830 * [taylor]: Taking taylor expansion of 1/4 in U 30.830 * [backup-simplify]: Simplify 1/4 into 1/4 30.830 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 30.830 * [taylor]: Taking taylor expansion of (pow J 2) in U 30.830 * [taylor]: Taking taylor expansion of J in U 30.830 * [backup-simplify]: Simplify J into J 30.830 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 30.830 * [taylor]: Taking taylor expansion of (pow U 2) in U 30.830 * [taylor]: Taking taylor expansion of U in U 30.830 * [backup-simplify]: Simplify 0 into 0 30.830 * [backup-simplify]: Simplify 1 into 1 30.830 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 30.830 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 30.830 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 30.830 * [taylor]: Taking taylor expansion of 1/2 in U 30.830 * [backup-simplify]: Simplify 1/2 into 1/2 30.830 * [taylor]: Taking taylor expansion of K in U 30.830 * [backup-simplify]: Simplify K into K 30.830 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 30.831 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 30.831 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 30.831 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 30.831 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 30.831 * [backup-simplify]: Simplify (- 0) into 0 30.831 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 30.831 * [backup-simplify]: Simplify (* J J) into (pow J 2) 30.832 * [backup-simplify]: Simplify (* 1 1) into 1 30.832 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 30.832 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 30.832 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 30.832 * [taylor]: Taking taylor expansion of 1 in U 30.832 * [backup-simplify]: Simplify 1 into 1 30.833 * [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))) 30.833 * [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))) 30.833 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 30.833 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 30.834 * [backup-simplify]: Simplify (+ 0) into 0 30.834 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 30.834 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 30.835 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 30.836 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 30.836 * [backup-simplify]: Simplify (- 0) into 0 30.837 * [backup-simplify]: Simplify (+ 0 0) into 0 30.837 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 30.838 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 30.838 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 30.839 * [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 30.839 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 30.840 * [backup-simplify]: Simplify (+ 0 0) into 0 30.840 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 30.840 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 30.840 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 30.840 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 30.840 * [taylor]: Taking taylor expansion of 1/4 in U 30.840 * [backup-simplify]: Simplify 1/4 into 1/4 30.840 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 30.840 * [taylor]: Taking taylor expansion of (pow J 2) in U 30.840 * [taylor]: Taking taylor expansion of J in U 30.840 * [backup-simplify]: Simplify J into J 30.840 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 30.840 * [taylor]: Taking taylor expansion of (pow U 2) in U 30.840 * [taylor]: Taking taylor expansion of U in U 30.840 * [backup-simplify]: Simplify 0 into 0 30.840 * [backup-simplify]: Simplify 1 into 1 30.840 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 30.840 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 30.840 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 30.840 * [taylor]: Taking taylor expansion of 1/2 in U 30.841 * [backup-simplify]: Simplify 1/2 into 1/2 30.841 * [taylor]: Taking taylor expansion of K in U 30.841 * [backup-simplify]: Simplify K into K 30.841 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 30.841 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 30.841 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 30.841 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 30.841 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 30.841 * [backup-simplify]: Simplify (- 0) into 0 30.842 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 30.842 * [backup-simplify]: Simplify (* J J) into (pow J 2) 30.842 * [backup-simplify]: Simplify (* 1 1) into 1 30.842 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 30.842 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 30.842 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 30.842 * [taylor]: Taking taylor expansion of 1 in U 30.843 * [backup-simplify]: Simplify 1 into 1 30.843 * [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))) 30.843 * [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))) 30.843 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 30.843 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 30.844 * [backup-simplify]: Simplify (+ 0) into 0 30.844 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 30.845 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 30.845 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 30.846 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 30.846 * [backup-simplify]: Simplify (- 0) into 0 30.846 * [backup-simplify]: Simplify (+ 0 0) into 0 30.847 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 30.847 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 30.848 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 30.848 * [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 30.849 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 30.849 * [backup-simplify]: Simplify (+ 0 0) into 0 30.849 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 30.850 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 30.850 * [taylor]: Taking taylor expansion of 1/2 in J 30.850 * [backup-simplify]: Simplify 1/2 into 1/2 30.850 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 30.850 * [taylor]: Taking taylor expansion of J in J 30.850 * [backup-simplify]: Simplify 0 into 0 30.850 * [backup-simplify]: Simplify 1 into 1 30.850 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 30.850 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 30.850 * [taylor]: Taking taylor expansion of 1/2 in J 30.850 * [backup-simplify]: Simplify 1/2 into 1/2 30.850 * [taylor]: Taking taylor expansion of K in J 30.850 * [backup-simplify]: Simplify K into K 30.850 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 30.850 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 30.850 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 30.850 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 30.850 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 30.851 * [backup-simplify]: Simplify (- 0) into 0 30.851 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 30.851 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 30.851 * [taylor]: Taking taylor expansion of 0 in J 30.851 * [backup-simplify]: Simplify 0 into 0 30.851 * [taylor]: Taking taylor expansion of 0 in K 30.851 * [backup-simplify]: Simplify 0 into 0 30.851 * [backup-simplify]: Simplify 0 into 0 30.851 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 30.851 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K 30.851 * [taylor]: Taking taylor expansion of 1/2 in K 30.851 * [backup-simplify]: Simplify 1/2 into 1/2 30.851 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 30.851 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 30.851 * [taylor]: Taking taylor expansion of 1/2 in K 30.851 * [backup-simplify]: Simplify 1/2 into 1/2 30.851 * [taylor]: Taking taylor expansion of K in K 30.851 * [backup-simplify]: Simplify 0 into 0 30.851 * [backup-simplify]: Simplify 1 into 1 30.852 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 30.852 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 30.852 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 30.852 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 30.853 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 30.853 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 30.854 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 30.854 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 30.855 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 30.856 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 30.856 * [backup-simplify]: Simplify (- 0) into 0 30.856 * [backup-simplify]: Simplify (+ 0 0) into 0 30.857 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 30.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 30.859 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 30.859 * [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 30.861 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 30.861 * [backup-simplify]: Simplify (+ 0 1) into 1 30.862 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 30.862 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 30.862 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 30.862 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 30.862 * [taylor]: Taking taylor expansion of 1/2 in J 30.862 * [backup-simplify]: Simplify 1/2 into 1/2 30.862 * [taylor]: Taking taylor expansion of K in J 30.862 * [backup-simplify]: Simplify K into K 30.862 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 30.862 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 30.862 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 30.862 * [taylor]: Taking taylor expansion of J in J 30.862 * [backup-simplify]: Simplify 0 into 0 30.862 * [backup-simplify]: Simplify 1 into 1 30.863 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 30.863 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 30.863 * [backup-simplify]: Simplify (- 0) into 0 30.863 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 30.863 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 30.864 * [backup-simplify]: Simplify (+ 0) into 0 30.864 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 30.864 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 30.865 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 30.866 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 30.866 * [backup-simplify]: Simplify (- 0) into 0 30.870 * [backup-simplify]: Simplify (+ 0 0) into 0 30.871 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 30.871 * [taylor]: Taking taylor expansion of 0 in K 30.871 * [backup-simplify]: Simplify 0 into 0 30.872 * [backup-simplify]: Simplify 0 into 0 30.872 * [taylor]: Taking taylor expansion of 0 in K 30.872 * [backup-simplify]: Simplify 0 into 0 30.872 * [backup-simplify]: Simplify 0 into 0 30.872 * [backup-simplify]: Simplify (+ 0) into 0 30.873 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 30.873 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 30.874 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 30.874 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 30.875 * [backup-simplify]: Simplify (- 0) into 0 30.875 * [backup-simplify]: Simplify (+ 0 0) into 0 30.875 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 30.876 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 30.876 * [taylor]: Taking taylor expansion of 0 in K 30.876 * [backup-simplify]: Simplify 0 into 0 30.876 * [backup-simplify]: Simplify 0 into 0 30.876 * [backup-simplify]: Simplify 0 into 0 30.877 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 30.877 * [backup-simplify]: Simplify 0 into 0 30.878 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 30.879 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 30.880 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 30.881 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 30.882 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 30.883 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 30.883 * [backup-simplify]: Simplify (- 0) into 0 30.884 * [backup-simplify]: Simplify (+ 0 0) into 0 30.885 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 30.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 30.887 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 30.888 * [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 30.889 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 30.890 * [backup-simplify]: Simplify (+ 0 0) into 0 30.890 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 30.890 * [taylor]: Taking taylor expansion of 0 in J 30.890 * [backup-simplify]: Simplify 0 into 0 30.890 * [taylor]: Taking taylor expansion of 0 in K 30.890 * [backup-simplify]: Simplify 0 into 0 30.890 * [backup-simplify]: Simplify 0 into 0 30.890 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 30.891 * [backup-simplify]: Simplify (sqrt (+ (/ (* (* (/ (/ 1 (- U)) (/ 1 (- J))) (/ (/ 1 (- U)) (/ 1 (- J)))) 1/4) (* (cos (* (/ 1 (- K)) 1/2)) (cos (* (/ 1 (- K)) 1/2)))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 30.891 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U J K) around 0 30.891 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 30.891 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 30.891 * [taylor]: Taking taylor expansion of 1 in K 30.891 * [backup-simplify]: Simplify 1 into 1 30.891 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 30.891 * [taylor]: Taking taylor expansion of 1/4 in K 30.891 * [backup-simplify]: Simplify 1/4 into 1/4 30.891 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 30.891 * [taylor]: Taking taylor expansion of (pow J 2) in K 30.891 * [taylor]: Taking taylor expansion of J in K 30.891 * [backup-simplify]: Simplify J into J 30.891 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 30.891 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 30.891 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 30.891 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 30.891 * [taylor]: Taking taylor expansion of -1/2 in K 30.891 * [backup-simplify]: Simplify -1/2 into -1/2 30.892 * [taylor]: Taking taylor expansion of K in K 30.892 * [backup-simplify]: Simplify 0 into 0 30.892 * [backup-simplify]: Simplify 1 into 1 30.892 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 30.892 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 30.892 * [taylor]: Taking taylor expansion of (pow U 2) in K 30.892 * [taylor]: Taking taylor expansion of U in K 30.892 * [backup-simplify]: Simplify U into U 30.892 * [backup-simplify]: Simplify (* J J) into (pow J 2) 30.892 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 30.892 * [backup-simplify]: Simplify (* U U) into (pow U 2) 30.893 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 30.893 * [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))) 30.893 * [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)))) 30.893 * [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))))) 30.894 * [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)))))) 30.894 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 30.894 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 30.894 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 30.894 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 30.895 * [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 30.896 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 30.896 * [backup-simplify]: Simplify (+ 0 0) into 0 30.897 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 30.897 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 30.897 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 30.897 * [taylor]: Taking taylor expansion of 1 in J 30.897 * [backup-simplify]: Simplify 1 into 1 30.897 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 30.897 * [taylor]: Taking taylor expansion of 1/4 in J 30.897 * [backup-simplify]: Simplify 1/4 into 1/4 30.897 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 30.897 * [taylor]: Taking taylor expansion of (pow J 2) in J 30.897 * [taylor]: Taking taylor expansion of J in J 30.897 * [backup-simplify]: Simplify 0 into 0 30.897 * [backup-simplify]: Simplify 1 into 1 30.897 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 30.897 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 30.897 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 30.897 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 30.897 * [taylor]: Taking taylor expansion of -1/2 in J 30.897 * [backup-simplify]: Simplify -1/2 into -1/2 30.897 * [taylor]: Taking taylor expansion of K in J 30.897 * [backup-simplify]: Simplify K into K 30.897 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 30.897 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 30.897 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 30.898 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 30.898 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 30.898 * [backup-simplify]: Simplify (- 0) into 0 30.898 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 30.898 * [taylor]: Taking taylor expansion of (pow U 2) in J 30.898 * [taylor]: Taking taylor expansion of U in J 30.898 * [backup-simplify]: Simplify U into U 30.899 * [backup-simplify]: Simplify (* 1 1) into 1 30.899 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 30.899 * [backup-simplify]: Simplify (* U U) into (pow U 2) 30.899 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 30.899 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 30.900 * [backup-simplify]: Simplify (+ 1 0) into 1 30.900 * [backup-simplify]: Simplify (sqrt 1) into 1 30.901 * [backup-simplify]: Simplify (+ 0 0) into 0 30.901 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 30.901 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 30.901 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 30.901 * [taylor]: Taking taylor expansion of 1 in U 30.901 * [backup-simplify]: Simplify 1 into 1 30.901 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 30.901 * [taylor]: Taking taylor expansion of 1/4 in U 30.902 * [backup-simplify]: Simplify 1/4 into 1/4 30.902 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 30.902 * [taylor]: Taking taylor expansion of (pow J 2) in U 30.902 * [taylor]: Taking taylor expansion of J in U 30.902 * [backup-simplify]: Simplify J into J 30.902 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 30.902 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 30.902 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 30.902 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 30.902 * [taylor]: Taking taylor expansion of -1/2 in U 30.902 * [backup-simplify]: Simplify -1/2 into -1/2 30.902 * [taylor]: Taking taylor expansion of K in U 30.902 * [backup-simplify]: Simplify K into K 30.902 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 30.902 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 30.902 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 30.902 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 30.902 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 30.903 * [backup-simplify]: Simplify (- 0) into 0 30.903 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 30.903 * [taylor]: Taking taylor expansion of (pow U 2) in U 30.903 * [taylor]: Taking taylor expansion of U in U 30.903 * [backup-simplify]: Simplify 0 into 0 30.903 * [backup-simplify]: Simplify 1 into 1 30.903 * [backup-simplify]: Simplify (* J J) into (pow J 2) 30.903 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 30.904 * [backup-simplify]: Simplify (* 1 1) into 1 30.904 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 30.904 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 30.904 * [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))) 30.904 * [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))) 30.905 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 30.905 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 30.906 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 30.906 * [backup-simplify]: Simplify (+ 0) into 0 30.907 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 30.907 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 30.908 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 30.908 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 30.909 * [backup-simplify]: Simplify (- 0) into 0 30.909 * [backup-simplify]: Simplify (+ 0 0) into 0 30.909 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 30.910 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 30.910 * [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 30.911 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 30.911 * [backup-simplify]: Simplify (+ 0 0) into 0 30.912 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 30.912 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 30.912 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 30.912 * [taylor]: Taking taylor expansion of 1 in U 30.912 * [backup-simplify]: Simplify 1 into 1 30.912 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 30.912 * [taylor]: Taking taylor expansion of 1/4 in U 30.912 * [backup-simplify]: Simplify 1/4 into 1/4 30.912 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 30.912 * [taylor]: Taking taylor expansion of (pow J 2) in U 30.912 * [taylor]: Taking taylor expansion of J in U 30.912 * [backup-simplify]: Simplify J into J 30.912 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 30.912 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 30.912 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 30.912 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 30.912 * [taylor]: Taking taylor expansion of -1/2 in U 30.912 * [backup-simplify]: Simplify -1/2 into -1/2 30.912 * [taylor]: Taking taylor expansion of K in U 30.912 * [backup-simplify]: Simplify K into K 30.912 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 30.912 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 30.912 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 30.912 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 30.912 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 30.913 * [backup-simplify]: Simplify (- 0) into 0 30.913 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 30.913 * [taylor]: Taking taylor expansion of (pow U 2) in U 30.913 * [taylor]: Taking taylor expansion of U in U 30.913 * [backup-simplify]: Simplify 0 into 0 30.913 * [backup-simplify]: Simplify 1 into 1 30.913 * [backup-simplify]: Simplify (* J J) into (pow J 2) 30.913 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 30.914 * [backup-simplify]: Simplify (* 1 1) into 1 30.914 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 30.914 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 30.914 * [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))) 30.915 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 30.915 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 30.915 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 30.916 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 30.916 * [backup-simplify]: Simplify (+ 0) into 0 30.917 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 30.917 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 30.918 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 30.918 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 30.919 * [backup-simplify]: Simplify (- 0) into 0 30.919 * [backup-simplify]: Simplify (+ 0 0) into 0 30.919 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 30.920 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 30.920 * [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 30.921 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 30.921 * [backup-simplify]: Simplify (+ 0 0) into 0 30.922 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 30.922 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 30.922 * [taylor]: Taking taylor expansion of 1/2 in J 30.922 * [backup-simplify]: Simplify 1/2 into 1/2 30.922 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 30.922 * [taylor]: Taking taylor expansion of J in J 30.922 * [backup-simplify]: Simplify 0 into 0 30.922 * [backup-simplify]: Simplify 1 into 1 30.922 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 30.922 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 30.922 * [taylor]: Taking taylor expansion of -1/2 in J 30.922 * [backup-simplify]: Simplify -1/2 into -1/2 30.922 * [taylor]: Taking taylor expansion of K in J 30.922 * [backup-simplify]: Simplify K into K 30.922 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 30.922 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 30.922 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 30.923 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 30.923 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 30.923 * [backup-simplify]: Simplify (- 0) into 0 30.923 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 30.923 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 30.923 * [taylor]: Taking taylor expansion of 0 in J 30.923 * [backup-simplify]: Simplify 0 into 0 30.923 * [taylor]: Taking taylor expansion of 0 in K 30.923 * [backup-simplify]: Simplify 0 into 0 30.923 * [backup-simplify]: Simplify 0 into 0 30.924 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 30.924 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K 30.924 * [taylor]: Taking taylor expansion of 1/2 in K 30.924 * [backup-simplify]: Simplify 1/2 into 1/2 30.924 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 30.924 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 30.924 * [taylor]: Taking taylor expansion of -1/2 in K 30.924 * [backup-simplify]: Simplify -1/2 into -1/2 30.924 * [taylor]: Taking taylor expansion of K in K 30.924 * [backup-simplify]: Simplify 0 into 0 30.924 * [backup-simplify]: Simplify 1 into 1 30.924 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 30.924 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 30.924 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 30.925 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 30.925 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 30.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 30.927 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 30.928 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 30.928 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 30.929 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 30.930 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 30.930 * [backup-simplify]: Simplify (- 0) into 0 30.930 * [backup-simplify]: Simplify (+ 0 0) into 0 30.931 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 30.932 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 30.932 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 30.933 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 30.934 * [backup-simplify]: Simplify (+ 1 0) into 1 30.934 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 30.935 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 30.935 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 30.935 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 30.935 * [taylor]: Taking taylor expansion of -1/2 in J 30.935 * [backup-simplify]: Simplify -1/2 into -1/2 30.935 * [taylor]: Taking taylor expansion of K in J 30.935 * [backup-simplify]: Simplify K into K 30.935 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 30.935 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 30.935 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 30.935 * [taylor]: Taking taylor expansion of J in J 30.935 * [backup-simplify]: Simplify 0 into 0 30.935 * [backup-simplify]: Simplify 1 into 1 30.935 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 30.935 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 30.935 * [backup-simplify]: Simplify (- 0) into 0 30.936 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 30.936 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 30.936 * [backup-simplify]: Simplify (+ 0) into 0 30.937 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 30.937 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 30.937 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 30.938 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 30.938 * [backup-simplify]: Simplify (- 0) into 0 30.939 * [backup-simplify]: Simplify (+ 0 0) into 0 30.940 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 30.940 * [taylor]: Taking taylor expansion of 0 in K 30.940 * [backup-simplify]: Simplify 0 into 0 30.940 * [backup-simplify]: Simplify 0 into 0 30.940 * [taylor]: Taking taylor expansion of 0 in K 30.940 * [backup-simplify]: Simplify 0 into 0 30.940 * [backup-simplify]: Simplify 0 into 0 30.940 * [backup-simplify]: Simplify (+ 0) into 0 30.940 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 30.941 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 30.941 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 30.941 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 30.942 * [backup-simplify]: Simplify (- 0) into 0 30.942 * [backup-simplify]: Simplify (+ 0 0) into 0 30.942 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 30.942 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 30.942 * [taylor]: Taking taylor expansion of 0 in K 30.942 * [backup-simplify]: Simplify 0 into 0 30.942 * [backup-simplify]: Simplify 0 into 0 30.942 * [backup-simplify]: Simplify 0 into 0 30.943 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 30.943 * [backup-simplify]: Simplify 0 into 0 30.943 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 30.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 30.944 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 30.945 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 30.945 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 30.946 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 30.947 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 30.947 * [backup-simplify]: Simplify (- 0) into 0 30.947 * [backup-simplify]: Simplify (+ 0 0) into 0 30.948 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 30.948 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 30.949 * [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 30.949 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 30.950 * [backup-simplify]: Simplify (+ 0 0) into 0 30.950 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 30.950 * [taylor]: Taking taylor expansion of 0 in J 30.950 * [backup-simplify]: Simplify 0 into 0 30.950 * [taylor]: Taking taylor expansion of 0 in K 30.950 * [backup-simplify]: Simplify 0 into 0 30.950 * [backup-simplify]: Simplify 0 into 0 30.950 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 30.950 * * * * [progress]: [ 2 / 4 ] generating series at (2) 30.951 * [backup-simplify]: Simplify (* (sqrt (+ (/ (* (* (/ U J) (/ U J)) 1/4) (* (cos (* K 1/2)) (cos (* K 1/2)))) 1)) (* (cos (/ K 2)) (* -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)))) 30.951 * [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 J K) around 0 30.951 * [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 30.951 * [taylor]: Taking taylor expansion of -2 in K 30.951 * [backup-simplify]: Simplify -2 into -2 30.951 * [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 30.951 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 30.951 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 30.951 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 30.951 * [taylor]: Taking taylor expansion of 1/2 in K 30.951 * [backup-simplify]: Simplify 1/2 into 1/2 30.951 * [taylor]: Taking taylor expansion of K in K 30.951 * [backup-simplify]: Simplify 0 into 0 30.951 * [backup-simplify]: Simplify 1 into 1 30.951 * [backup-simplify]: Simplify (* 1/2 0) into 0 30.952 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 30.952 * [taylor]: Taking taylor expansion of J in K 30.952 * [backup-simplify]: Simplify J into J 30.952 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 30.952 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 30.952 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 30.952 * [taylor]: Taking taylor expansion of 1/4 in K 30.952 * [backup-simplify]: Simplify 1/4 into 1/4 30.952 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 30.952 * [taylor]: Taking taylor expansion of (pow U 2) in K 30.952 * [taylor]: Taking taylor expansion of U in K 30.952 * [backup-simplify]: Simplify U into U 30.952 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 30.952 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 30.952 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 30.952 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 30.952 * [taylor]: Taking taylor expansion of 1/2 in K 30.952 * [backup-simplify]: Simplify 1/2 into 1/2 30.952 * [taylor]: Taking taylor expansion of K in K 30.952 * [backup-simplify]: Simplify 0 into 0 30.952 * [backup-simplify]: Simplify 1 into 1 30.952 * [backup-simplify]: Simplify (* 1/2 0) into 0 30.953 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 30.953 * [taylor]: Taking taylor expansion of (pow J 2) in K 30.953 * [taylor]: Taking taylor expansion of J in K 30.953 * [backup-simplify]: Simplify J into J 30.953 * [backup-simplify]: Simplify (* U U) into (pow U 2) 30.953 * [backup-simplify]: Simplify (* 1 1) into 1 30.953 * [backup-simplify]: Simplify (* J J) into (pow J 2) 30.953 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 30.953 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 30.953 * [taylor]: Taking taylor expansion of 1 in K 30.953 * [backup-simplify]: Simplify 1 into 1 30.953 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 30.953 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 30.954 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 30.954 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 30.954 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 30.954 * [backup-simplify]: Simplify (+ 0) into 0 30.954 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 30.955 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 30.955 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 30.955 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 30.955 * [backup-simplify]: Simplify (+ 0 0) into 0 30.956 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 30.956 * [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 30.956 * [taylor]: Taking taylor expansion of -2 in J 30.956 * [backup-simplify]: Simplify -2 into -2 30.956 * [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 30.956 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 30.956 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 30.956 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 30.956 * [taylor]: Taking taylor expansion of 1/2 in J 30.956 * [backup-simplify]: Simplify 1/2 into 1/2 30.956 * [taylor]: Taking taylor expansion of K in J 30.956 * [backup-simplify]: Simplify K into K 30.956 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 30.956 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 30.956 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 30.956 * [taylor]: Taking taylor expansion of J in J 30.956 * [backup-simplify]: Simplify 0 into 0 30.956 * [backup-simplify]: Simplify 1 into 1 30.956 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 30.956 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 30.956 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 30.956 * [taylor]: Taking taylor expansion of 1/4 in J 30.956 * [backup-simplify]: Simplify 1/4 into 1/4 30.956 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 30.956 * [taylor]: Taking taylor expansion of (pow U 2) in J 30.956 * [taylor]: Taking taylor expansion of U in J 30.956 * [backup-simplify]: Simplify U into U 30.956 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 30.956 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 30.956 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 30.956 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 30.956 * [taylor]: Taking taylor expansion of 1/2 in J 30.956 * [backup-simplify]: Simplify 1/2 into 1/2 30.956 * [taylor]: Taking taylor expansion of K in J 30.956 * [backup-simplify]: Simplify K into K 30.956 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 30.956 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 30.956 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 30.956 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 30.957 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 30.957 * [backup-simplify]: Simplify (- 0) into 0 30.957 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 30.957 * [taylor]: Taking taylor expansion of (pow J 2) in J 30.957 * [taylor]: Taking taylor expansion of J in J 30.957 * [backup-simplify]: Simplify 0 into 0 30.957 * [backup-simplify]: Simplify 1 into 1 30.957 * [backup-simplify]: Simplify (* U U) into (pow U 2) 30.957 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 30.957 * [backup-simplify]: Simplify (* 1 1) into 1 30.957 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 30.957 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 30.957 * [taylor]: Taking taylor expansion of 1 in J 30.958 * [backup-simplify]: Simplify 1 into 1 30.958 * [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))) 30.958 * [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))) 30.958 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 30.958 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 30.958 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 30.959 * [backup-simplify]: Simplify (+ 0) into 0 30.959 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 30.959 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 30.960 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 30.960 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 30.960 * [backup-simplify]: Simplify (- 0) into 0 30.960 * [backup-simplify]: Simplify (+ 0 0) into 0 30.961 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 30.961 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 30.961 * [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 30.962 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 30.962 * [backup-simplify]: Simplify (+ 0 0) into 0 30.962 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 30.962 * [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 30.962 * [taylor]: Taking taylor expansion of -2 in U 30.962 * [backup-simplify]: Simplify -2 into -2 30.962 * [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 30.962 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 30.962 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 30.962 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 30.962 * [taylor]: Taking taylor expansion of 1/2 in U 30.962 * [backup-simplify]: Simplify 1/2 into 1/2 30.962 * [taylor]: Taking taylor expansion of K in U 30.962 * [backup-simplify]: Simplify K into K 30.962 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 30.962 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 30.962 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 30.962 * [taylor]: Taking taylor expansion of J in U 30.962 * [backup-simplify]: Simplify J into J 30.962 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 30.962 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 30.962 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 30.962 * [taylor]: Taking taylor expansion of 1/4 in U 30.962 * [backup-simplify]: Simplify 1/4 into 1/4 30.962 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 30.962 * [taylor]: Taking taylor expansion of (pow U 2) in U 30.962 * [taylor]: Taking taylor expansion of U in U 30.962 * [backup-simplify]: Simplify 0 into 0 30.962 * [backup-simplify]: Simplify 1 into 1 30.962 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 30.962 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 30.962 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 30.963 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 30.963 * [taylor]: Taking taylor expansion of 1/2 in U 30.963 * [backup-simplify]: Simplify 1/2 into 1/2 30.963 * [taylor]: Taking taylor expansion of K in U 30.963 * [backup-simplify]: Simplify K into K 30.963 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 30.963 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 30.963 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 30.963 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 30.963 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 30.963 * [backup-simplify]: Simplify (- 0) into 0 30.963 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 30.963 * [taylor]: Taking taylor expansion of (pow J 2) in U 30.963 * [taylor]: Taking taylor expansion of J in U 30.963 * [backup-simplify]: Simplify J into J 30.963 * [backup-simplify]: Simplify (* 1 1) into 1 30.963 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 30.963 * [backup-simplify]: Simplify (* J J) into (pow J 2) 30.964 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 30.964 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 30.964 * [taylor]: Taking taylor expansion of 1 in U 30.964 * [backup-simplify]: Simplify 1 into 1 30.964 * [backup-simplify]: Simplify (+ 0 1) into 1 30.964 * [backup-simplify]: Simplify (sqrt 1) into 1 30.964 * [backup-simplify]: Simplify (+ 0 0) into 0 30.965 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 30.965 * [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 30.965 * [taylor]: Taking taylor expansion of -2 in U 30.965 * [backup-simplify]: Simplify -2 into -2 30.965 * [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 30.965 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 30.965 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 30.965 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 30.965 * [taylor]: Taking taylor expansion of 1/2 in U 30.965 * [backup-simplify]: Simplify 1/2 into 1/2 30.965 * [taylor]: Taking taylor expansion of K in U 30.965 * [backup-simplify]: Simplify K into K 30.965 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 30.965 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 30.965 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 30.965 * [taylor]: Taking taylor expansion of J in U 30.965 * [backup-simplify]: Simplify J into J 30.965 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 30.965 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 30.965 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 30.965 * [taylor]: Taking taylor expansion of 1/4 in U 30.965 * [backup-simplify]: Simplify 1/4 into 1/4 30.965 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 30.965 * [taylor]: Taking taylor expansion of (pow U 2) in U 30.965 * [taylor]: Taking taylor expansion of U in U 30.965 * [backup-simplify]: Simplify 0 into 0 30.965 * [backup-simplify]: Simplify 1 into 1 30.965 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 30.965 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 30.965 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 30.965 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 30.965 * [taylor]: Taking taylor expansion of 1/2 in U 30.966 * [backup-simplify]: Simplify 1/2 into 1/2 30.966 * [taylor]: Taking taylor expansion of K in U 30.966 * [backup-simplify]: Simplify K into K 30.966 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 30.966 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 30.966 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 30.966 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 30.966 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 30.966 * [backup-simplify]: Simplify (- 0) into 0 30.966 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 30.966 * [taylor]: Taking taylor expansion of (pow J 2) in U 30.966 * [taylor]: Taking taylor expansion of J in U 30.966 * [backup-simplify]: Simplify J into J 30.966 * [backup-simplify]: Simplify (* 1 1) into 1 30.966 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 30.966 * [backup-simplify]: Simplify (* J J) into (pow J 2) 30.967 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 30.967 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 30.967 * [taylor]: Taking taylor expansion of 1 in U 30.967 * [backup-simplify]: Simplify 1 into 1 30.967 * [backup-simplify]: Simplify (+ 0 1) into 1 30.967 * [backup-simplify]: Simplify (sqrt 1) into 1 30.967 * [backup-simplify]: Simplify (+ 0 0) into 0 30.968 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 30.968 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 30.968 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 30.969 * [backup-simplify]: Simplify (- 0) into 0 30.969 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 30.969 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 30.969 * [backup-simplify]: Simplify (* (* (cos (* 1/2 K)) J) 1) into (* (cos (* 1/2 K)) J) 30.969 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J)) 30.969 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J 30.969 * [taylor]: Taking taylor expansion of -2 in J 30.969 * [backup-simplify]: Simplify -2 into -2 30.969 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 30.969 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 30.969 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 30.969 * [taylor]: Taking taylor expansion of 1/2 in J 30.969 * [backup-simplify]: Simplify 1/2 into 1/2 30.969 * [taylor]: Taking taylor expansion of K in J 30.969 * [backup-simplify]: Simplify K into K 30.969 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 30.970 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 30.970 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 30.970 * [taylor]: Taking taylor expansion of J in J 30.970 * [backup-simplify]: Simplify 0 into 0 30.970 * [backup-simplify]: Simplify 1 into 1 30.970 * [backup-simplify]: Simplify (+ 0) into 0 30.971 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 30.971 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 30.972 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 30.972 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 30.973 * [backup-simplify]: Simplify (- 0) into 0 30.973 * [backup-simplify]: Simplify (+ 0 0) into 0 30.973 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 30.974 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (* 0 1)) into 0 30.974 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0 30.974 * [taylor]: Taking taylor expansion of 0 in J 30.974 * [backup-simplify]: Simplify 0 into 0 30.974 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 30.974 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 30.975 * [backup-simplify]: Simplify (- 0) into 0 30.975 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 30.975 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 30.975 * [backup-simplify]: Simplify (* -2 0) into 0 30.975 * [taylor]: Taking taylor expansion of 0 in K 30.975 * [backup-simplify]: Simplify 0 into 0 30.975 * [backup-simplify]: Simplify 0 into 0 30.976 * [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))) 30.976 * [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)))) 30.977 * [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))) 30.978 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 30.979 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 30.980 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 30.981 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 30.981 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 30.982 * [backup-simplify]: Simplify (- 0) into 0 30.982 * [backup-simplify]: Simplify (+ 0 0) into 0 30.983 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0 30.984 * [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))) 30.984 * [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)))) 30.984 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in J 30.984 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in J 30.984 * [taylor]: Taking taylor expansion of 1/4 in J 30.984 * [backup-simplify]: Simplify 1/4 into 1/4 30.984 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in J 30.984 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 30.984 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 30.984 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 30.984 * [taylor]: Taking taylor expansion of 1/2 in J 30.984 * [backup-simplify]: Simplify 1/2 into 1/2 30.985 * [taylor]: Taking taylor expansion of K in J 30.985 * [backup-simplify]: Simplify K into K 30.985 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 30.985 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 30.985 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 30.985 * [taylor]: Taking taylor expansion of J in J 30.985 * [backup-simplify]: Simplify 0 into 0 30.985 * [backup-simplify]: Simplify 1 into 1 30.985 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 30.985 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 30.985 * [backup-simplify]: Simplify (- 0) into 0 30.985 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 30.986 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 30.986 * [backup-simplify]: Simplify (+ 0) into 0 30.986 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 30.987 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 30.988 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 30.989 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 30.989 * [backup-simplify]: Simplify (- 0) into 0 30.990 * [backup-simplify]: Simplify (+ 0 0) into 0 30.990 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 30.990 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 K))) into (/ 1 (cos (* 1/2 K))) 30.990 * [backup-simplify]: Simplify (* 1/4 (/ 1 (cos (* 1/2 K)))) into (/ 1/4 (cos (* 1/2 K))) 30.991 * [backup-simplify]: Simplify (- (/ 1/4 (cos (* 1/2 K)))) into (- (* 1/4 (/ 1 (cos (* 1/2 K))))) 30.991 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (cos (* 1/2 K))))) in K 30.991 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (cos (* 1/2 K)))) in K 30.991 * [taylor]: Taking taylor expansion of 1/4 in K 30.991 * [backup-simplify]: Simplify 1/4 into 1/4 30.991 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 1/2 K))) in K 30.991 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 30.991 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 30.991 * [taylor]: Taking taylor expansion of 1/2 in K 30.991 * [backup-simplify]: Simplify 1/2 into 1/2 30.991 * [taylor]: Taking taylor expansion of K in K 30.991 * [backup-simplify]: Simplify 0 into 0 30.991 * [backup-simplify]: Simplify 1 into 1 30.991 * [backup-simplify]: Simplify (* 1/2 0) into 0 30.992 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 30.993 * [backup-simplify]: Simplify (/ 1 1) into 1 30.993 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 30.993 * [backup-simplify]: Simplify (- 1/4) into -1/4 30.993 * [backup-simplify]: Simplify -1/4 into -1/4 30.994 * [taylor]: Taking taylor expansion of 0 in K 30.994 * [backup-simplify]: Simplify 0 into 0 30.994 * [backup-simplify]: Simplify 0 into 0 30.994 * [backup-simplify]: Simplify (+ 0) into 0 30.994 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 30.995 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 30.996 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 30.996 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 30.997 * [backup-simplify]: Simplify (- 0) into 0 30.997 * [backup-simplify]: Simplify (+ 0 0) into 0 30.997 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 30.998 * [backup-simplify]: Simplify (+ (* -2 (cos (* 1/2 K))) (* 0 0)) into (- (* 2 (cos (* 1/2 K)))) 30.998 * [taylor]: Taking taylor expansion of (- (* 2 (cos (* 1/2 K)))) in K 30.998 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K 30.998 * [taylor]: Taking taylor expansion of 2 in K 30.998 * [backup-simplify]: Simplify 2 into 2 30.998 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 30.998 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 30.998 * [taylor]: Taking taylor expansion of 1/2 in K 30.998 * [backup-simplify]: Simplify 1/2 into 1/2 30.998 * [taylor]: Taking taylor expansion of K in K 30.998 * [backup-simplify]: Simplify 0 into 0 30.998 * [backup-simplify]: Simplify 1 into 1 30.999 * [backup-simplify]: Simplify (* 1/2 0) into 0 30.999 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 31.000 * [backup-simplify]: Simplify (* 2 1) into 2 31.000 * [backup-simplify]: Simplify (- 2) into -2 31.000 * [backup-simplify]: Simplify -2 into -2 31.000 * [backup-simplify]: Simplify 0 into 0 31.001 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 31.001 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 31.001 * [backup-simplify]: Simplify (+ 0) into 0 31.002 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 31.003 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 31.003 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 31.004 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 31.004 * [backup-simplify]: Simplify (- 0) into 0 31.005 * [backup-simplify]: Simplify (+ 0 0) into 0 31.005 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 31.005 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 31.005 * [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 31.006 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 31.009 * [backup-simplify]: Simplify (+ 0 0) into 0 31.010 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 31.011 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 31.012 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 31.014 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 31.015 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 31.016 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 31.016 * [backup-simplify]: Simplify (- 0) into 0 31.017 * [backup-simplify]: Simplify (+ 0 0) into 0 31.018 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 31.019 * [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 31.020 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0 31.020 * [taylor]: Taking taylor expansion of 0 in J 31.020 * [backup-simplify]: Simplify 0 into 0 31.021 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 31.021 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 31.022 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 31.023 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 31.024 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 31.024 * [backup-simplify]: Simplify (- 0) into 0 31.024 * [backup-simplify]: Simplify (+ 0 0) into 0 31.025 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 31.025 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 31.026 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (* 1/2 K))))) into 0 31.026 * [backup-simplify]: Simplify (- 0) into 0 31.026 * [taylor]: Taking taylor expansion of 0 in K 31.026 * [backup-simplify]: Simplify 0 into 0 31.026 * [backup-simplify]: Simplify 0 into 0 31.026 * [taylor]: Taking taylor expansion of 0 in K 31.026 * [backup-simplify]: Simplify 0 into 0 31.026 * [backup-simplify]: Simplify 0 into 0 31.027 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 31.028 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 31.029 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 31.030 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 31.030 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 31.031 * [backup-simplify]: Simplify (- 0) into 0 31.031 * [backup-simplify]: Simplify (+ 0 0) into 0 31.032 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 31.032 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0 31.033 * [taylor]: Taking taylor expansion of 0 in K 31.033 * [backup-simplify]: Simplify 0 into 0 31.033 * [backup-simplify]: Simplify 0 into 0 31.033 * [backup-simplify]: Simplify (+ 0) into 0 31.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 31.034 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 31.035 * [backup-simplify]: Simplify (- 0) into 0 31.035 * [backup-simplify]: Simplify 0 into 0 31.035 * [backup-simplify]: Simplify 0 into 0 31.035 * [backup-simplify]: Simplify (+ (* -2 (* 1 (* J 1))) (* -1/4 (* 1 (* (/ 1 J) (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 31.036 * [backup-simplify]: Simplify (* (sqrt (+ (/ (* (* (/ (/ 1 U) (/ 1 J)) (/ (/ 1 U) (/ 1 J))) 1/4) (* (cos (* (/ 1 K) 1/2)) (cos (* (/ 1 K) 1/2)))) 1)) (* (cos (/ (/ 1 K) 2)) (* -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))) 31.036 * [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 J K) around 0 31.036 * [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 31.036 * [taylor]: Taking taylor expansion of -2 in K 31.036 * [backup-simplify]: Simplify -2 into -2 31.036 * [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 31.036 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 31.036 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 31.036 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 31.036 * [taylor]: Taking taylor expansion of 1/4 in K 31.036 * [backup-simplify]: Simplify 1/4 into 1/4 31.036 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 31.036 * [taylor]: Taking taylor expansion of (pow J 2) in K 31.036 * [taylor]: Taking taylor expansion of J in K 31.036 * [backup-simplify]: Simplify J into J 31.036 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 31.036 * [taylor]: Taking taylor expansion of (pow U 2) in K 31.036 * [taylor]: Taking taylor expansion of U in K 31.036 * [backup-simplify]: Simplify U into U 31.037 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 31.037 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 31.037 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 31.037 * [taylor]: Taking taylor expansion of 1/2 in K 31.037 * [backup-simplify]: Simplify 1/2 into 1/2 31.037 * [taylor]: Taking taylor expansion of K in K 31.037 * [backup-simplify]: Simplify 0 into 0 31.037 * [backup-simplify]: Simplify 1 into 1 31.037 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 31.037 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 31.037 * [backup-simplify]: Simplify (* J J) into (pow J 2) 31.037 * [backup-simplify]: Simplify (* U U) into (pow U 2) 31.038 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 31.038 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 31.038 * [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))) 31.038 * [taylor]: Taking taylor expansion of 1 in K 31.038 * [backup-simplify]: Simplify 1 into 1 31.038 * [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)))) 31.039 * [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) 31.039 * [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)) 31.039 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 31.039 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 31.039 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 31.039 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 31.040 * [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 31.041 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 31.041 * [backup-simplify]: Simplify (+ 0 0) into 0 31.042 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 31.042 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 31.042 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 31.042 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 31.042 * [taylor]: Taking taylor expansion of 1/2 in K 31.042 * [backup-simplify]: Simplify 1/2 into 1/2 31.042 * [taylor]: Taking taylor expansion of K in K 31.042 * [backup-simplify]: Simplify 0 into 0 31.042 * [backup-simplify]: Simplify 1 into 1 31.043 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 31.043 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 31.043 * [taylor]: Taking taylor expansion of J in K 31.043 * [backup-simplify]: Simplify J into J 31.043 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 31.043 * [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 31.043 * [taylor]: Taking taylor expansion of -2 in J 31.043 * [backup-simplify]: Simplify -2 into -2 31.043 * [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 31.043 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 31.043 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 31.043 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 31.043 * [taylor]: Taking taylor expansion of 1/4 in J 31.043 * [backup-simplify]: Simplify 1/4 into 1/4 31.043 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 31.043 * [taylor]: Taking taylor expansion of (pow J 2) in J 31.043 * [taylor]: Taking taylor expansion of J in J 31.043 * [backup-simplify]: Simplify 0 into 0 31.043 * [backup-simplify]: Simplify 1 into 1 31.043 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 31.043 * [taylor]: Taking taylor expansion of (pow U 2) in J 31.043 * [taylor]: Taking taylor expansion of U in J 31.043 * [backup-simplify]: Simplify U into U 31.043 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 31.043 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 31.043 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 31.043 * [taylor]: Taking taylor expansion of 1/2 in J 31.043 * [backup-simplify]: Simplify 1/2 into 1/2 31.043 * [taylor]: Taking taylor expansion of K in J 31.043 * [backup-simplify]: Simplify K into K 31.043 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 31.043 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 31.044 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 31.044 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 31.044 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 31.044 * [backup-simplify]: Simplify (- 0) into 0 31.044 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 31.045 * [backup-simplify]: Simplify (* 1 1) into 1 31.045 * [backup-simplify]: Simplify (* U U) into (pow U 2) 31.045 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 31.045 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 31.045 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 31.045 * [taylor]: Taking taylor expansion of 1 in J 31.045 * [backup-simplify]: Simplify 1 into 1 31.046 * [backup-simplify]: Simplify (+ 0 1) into 1 31.046 * [backup-simplify]: Simplify (sqrt 1) into 1 31.047 * [backup-simplify]: Simplify (+ 0 0) into 0 31.047 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 31.047 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 31.047 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 31.047 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 31.048 * [taylor]: Taking taylor expansion of 1/2 in J 31.048 * [backup-simplify]: Simplify 1/2 into 1/2 31.048 * [taylor]: Taking taylor expansion of K in J 31.048 * [backup-simplify]: Simplify K into K 31.048 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 31.048 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 31.048 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 31.048 * [taylor]: Taking taylor expansion of J in J 31.048 * [backup-simplify]: Simplify 0 into 0 31.048 * [backup-simplify]: Simplify 1 into 1 31.048 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 31.048 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 31.049 * [backup-simplify]: Simplify (- 0) into 0 31.049 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 31.049 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 31.049 * [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 31.049 * [taylor]: Taking taylor expansion of -2 in U 31.049 * [backup-simplify]: Simplify -2 into -2 31.049 * [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 31.049 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 31.049 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 31.049 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 31.049 * [taylor]: Taking taylor expansion of 1/4 in U 31.049 * [backup-simplify]: Simplify 1/4 into 1/4 31.049 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 31.049 * [taylor]: Taking taylor expansion of (pow J 2) in U 31.049 * [taylor]: Taking taylor expansion of J in U 31.049 * [backup-simplify]: Simplify J into J 31.049 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 31.049 * [taylor]: Taking taylor expansion of (pow U 2) in U 31.049 * [taylor]: Taking taylor expansion of U in U 31.049 * [backup-simplify]: Simplify 0 into 0 31.049 * [backup-simplify]: Simplify 1 into 1 31.049 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 31.050 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 31.050 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 31.050 * [taylor]: Taking taylor expansion of 1/2 in U 31.050 * [backup-simplify]: Simplify 1/2 into 1/2 31.050 * [taylor]: Taking taylor expansion of K in U 31.050 * [backup-simplify]: Simplify K into K 31.050 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 31.050 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 31.050 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 31.050 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 31.050 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 31.051 * [backup-simplify]: Simplify (- 0) into 0 31.051 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 31.051 * [backup-simplify]: Simplify (* J J) into (pow J 2) 31.051 * [backup-simplify]: Simplify (* 1 1) into 1 31.051 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 31.051 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 31.052 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 31.052 * [taylor]: Taking taylor expansion of 1 in U 31.052 * [backup-simplify]: Simplify 1 into 1 31.052 * [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))) 31.052 * [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))) 31.052 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 31.052 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 31.053 * [backup-simplify]: Simplify (+ 0) into 0 31.053 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 31.054 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 31.054 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 31.055 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 31.055 * [backup-simplify]: Simplify (- 0) into 0 31.056 * [backup-simplify]: Simplify (+ 0 0) into 0 31.056 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 31.057 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 31.057 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 31.058 * [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 31.058 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 31.059 * [backup-simplify]: Simplify (+ 0 0) into 0 31.059 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 31.059 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 31.059 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 31.059 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 31.059 * [taylor]: Taking taylor expansion of 1/2 in U 31.059 * [backup-simplify]: Simplify 1/2 into 1/2 31.059 * [taylor]: Taking taylor expansion of K in U 31.059 * [backup-simplify]: Simplify K into K 31.059 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 31.059 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 31.059 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 31.059 * [taylor]: Taking taylor expansion of J in U 31.059 * [backup-simplify]: Simplify J into J 31.060 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 31.060 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 31.060 * [backup-simplify]: Simplify (- 0) into 0 31.060 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 31.060 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 31.060 * [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 31.060 * [taylor]: Taking taylor expansion of -2 in U 31.060 * [backup-simplify]: Simplify -2 into -2 31.060 * [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 31.061 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 31.061 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 31.061 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 31.061 * [taylor]: Taking taylor expansion of 1/4 in U 31.061 * [backup-simplify]: Simplify 1/4 into 1/4 31.061 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 31.061 * [taylor]: Taking taylor expansion of (pow J 2) in U 31.061 * [taylor]: Taking taylor expansion of J in U 31.061 * [backup-simplify]: Simplify J into J 31.061 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 31.061 * [taylor]: Taking taylor expansion of (pow U 2) in U 31.061 * [taylor]: Taking taylor expansion of U in U 31.061 * [backup-simplify]: Simplify 0 into 0 31.061 * [backup-simplify]: Simplify 1 into 1 31.061 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 31.061 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 31.061 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 31.061 * [taylor]: Taking taylor expansion of 1/2 in U 31.061 * [backup-simplify]: Simplify 1/2 into 1/2 31.061 * [taylor]: Taking taylor expansion of K in U 31.061 * [backup-simplify]: Simplify K into K 31.061 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 31.061 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 31.061 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 31.062 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 31.062 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 31.062 * [backup-simplify]: Simplify (- 0) into 0 31.062 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 31.062 * [backup-simplify]: Simplify (* J J) into (pow J 2) 31.063 * [backup-simplify]: Simplify (* 1 1) into 1 31.063 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 31.063 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 31.063 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 31.063 * [taylor]: Taking taylor expansion of 1 in U 31.063 * [backup-simplify]: Simplify 1 into 1 31.064 * [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))) 31.064 * [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))) 31.064 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 31.064 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 31.065 * [backup-simplify]: Simplify (+ 0) into 0 31.065 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 31.065 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 31.066 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 31.067 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 31.067 * [backup-simplify]: Simplify (- 0) into 0 31.068 * [backup-simplify]: Simplify (+ 0 0) into 0 31.068 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 31.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 31.069 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 31.069 * [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 31.070 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 31.071 * [backup-simplify]: Simplify (+ 0 0) into 0 31.071 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 31.071 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 31.071 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 31.071 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 31.071 * [taylor]: Taking taylor expansion of 1/2 in U 31.071 * [backup-simplify]: Simplify 1/2 into 1/2 31.071 * [taylor]: Taking taylor expansion of K in U 31.071 * [backup-simplify]: Simplify K into K 31.071 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 31.071 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 31.071 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 31.071 * [taylor]: Taking taylor expansion of J in U 31.072 * [backup-simplify]: Simplify J into J 31.072 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 31.072 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 31.072 * [backup-simplify]: Simplify (- 0) into 0 31.072 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 31.072 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 31.073 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ (cos (/ 1/2 K)) J)) into 1/2 31.073 * [backup-simplify]: Simplify (* -2 1/2) into -1 31.073 * [taylor]: Taking taylor expansion of -1 in J 31.073 * [backup-simplify]: Simplify -1 into -1 31.074 * [backup-simplify]: Simplify (+ 0) into 0 31.074 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 31.074 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 31.075 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 31.076 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 31.077 * [backup-simplify]: Simplify (- 0) into 0 31.077 * [backup-simplify]: Simplify (+ 0 0) into 0 31.077 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 31.078 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (/ (cos (/ 1/2 K)) J))) into 0 31.079 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0 31.079 * [taylor]: Taking taylor expansion of 0 in J 31.079 * [backup-simplify]: Simplify 0 into 0 31.079 * [taylor]: Taking taylor expansion of -1 in K 31.079 * [backup-simplify]: Simplify -1 into -1 31.079 * [backup-simplify]: Simplify -1 into -1 31.080 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 31.081 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 31.081 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 31.082 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 31.083 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 31.083 * [backup-simplify]: Simplify (- 0) into 0 31.083 * [backup-simplify]: Simplify (+ 0 0) into 0 31.084 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 31.084 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 31.085 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 31.086 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 31.086 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 31.087 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 31.087 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 31.088 * [backup-simplify]: Simplify (- 0) into 0 31.088 * [backup-simplify]: Simplify (+ 0 0) into 0 31.089 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 31.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 31.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 31.091 * [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 31.092 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 31.093 * [backup-simplify]: Simplify (+ 0 1) into 1 31.094 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 31.095 * [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)) 31.096 * [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)))) 31.096 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J 31.096 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J 31.096 * [taylor]: Taking taylor expansion of 2 in J 31.096 * [backup-simplify]: Simplify 2 into 2 31.096 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J 31.096 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 31.096 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 31.096 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 31.096 * [taylor]: Taking taylor expansion of 1/2 in J 31.096 * [backup-simplify]: Simplify 1/2 into 1/2 31.096 * [taylor]: Taking taylor expansion of K in J 31.096 * [backup-simplify]: Simplify K into K 31.096 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 31.096 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 31.096 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 31.096 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 31.096 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 31.097 * [backup-simplify]: Simplify (- 0) into 0 31.097 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 31.097 * [taylor]: Taking taylor expansion of (pow J 2) in J 31.097 * [taylor]: Taking taylor expansion of J in J 31.097 * [backup-simplify]: Simplify 0 into 0 31.097 * [backup-simplify]: Simplify 1 into 1 31.097 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 31.098 * [backup-simplify]: Simplify (* 1 1) into 1 31.098 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 31.098 * [backup-simplify]: Simplify (+ 0) into 0 31.099 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 31.099 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 31.100 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 31.100 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 31.100 * [backup-simplify]: Simplify (- 0) into 0 31.101 * [backup-simplify]: Simplify (+ 0 0) into 0 31.101 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 31.102 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 31.103 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 31.103 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 31.104 * [backup-simplify]: Simplify (- 0) into 0 31.104 * [taylor]: Taking taylor expansion of 0 in K 31.104 * [backup-simplify]: Simplify 0 into 0 31.104 * [backup-simplify]: Simplify 0 into 0 31.104 * [taylor]: Taking taylor expansion of 0 in K 31.104 * [backup-simplify]: Simplify 0 into 0 31.104 * [backup-simplify]: Simplify 0 into 0 31.104 * [taylor]: Taking taylor expansion of 0 in K 31.104 * [backup-simplify]: Simplify 0 into 0 31.104 * [backup-simplify]: Simplify 0 into 0 31.104 * [backup-simplify]: Simplify 0 into 0 31.105 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 31.106 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 31.106 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 31.108 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 31.109 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 31.109 * [backup-simplify]: Simplify (- 0) into 0 31.109 * [backup-simplify]: Simplify (+ 0 0) into 0 31.110 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 31.110 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 31.111 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 31.112 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 31.112 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 31.114 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 31.115 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 31.115 * [backup-simplify]: Simplify (- 0) into 0 31.115 * [backup-simplify]: Simplify (+ 0 0) into 0 31.116 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 31.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 31.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 31.119 * [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 31.120 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 31.121 * [backup-simplify]: Simplify (+ 0 0) into 0 31.121 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 31.122 * [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 31.123 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 31.123 * [taylor]: Taking taylor expansion of 0 in J 31.123 * [backup-simplify]: Simplify 0 into 0 31.124 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 31.125 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 31.125 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 31.126 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 31.126 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 31.127 * [backup-simplify]: Simplify (- 0) into 0 31.127 * [backup-simplify]: Simplify (+ 0 0) into 0 31.127 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 31.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 31.130 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.131 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 31.132 * [backup-simplify]: Simplify (- 0) into 0 31.132 * [taylor]: Taking taylor expansion of 0 in K 31.132 * [backup-simplify]: Simplify 0 into 0 31.132 * [backup-simplify]: Simplify 0 into 0 31.132 * [taylor]: Taking taylor expansion of 0 in K 31.132 * [backup-simplify]: Simplify 0 into 0 31.132 * [backup-simplify]: Simplify 0 into 0 31.132 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U) 31.133 * [backup-simplify]: Simplify (* (sqrt (+ (/ (* (* (/ (/ 1 (- U)) (/ 1 (- J))) (/ (/ 1 (- U)) (/ 1 (- J)))) 1/4) (* (cos (* (/ 1 (- K)) 1/2)) (cos (* (/ 1 (- K)) 1/2)))) 1)) (* (cos (/ (/ 1 (- K)) 2)) (* -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)))))))) 31.133 * [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 J K) around 0 31.133 * [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 31.133 * [taylor]: Taking taylor expansion of 2 in K 31.133 * [backup-simplify]: Simplify 2 into 2 31.133 * [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 31.133 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 31.133 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 31.133 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 31.133 * [taylor]: Taking taylor expansion of -1/2 in K 31.133 * [backup-simplify]: Simplify -1/2 into -1/2 31.133 * [taylor]: Taking taylor expansion of K in K 31.133 * [backup-simplify]: Simplify 0 into 0 31.133 * [backup-simplify]: Simplify 1 into 1 31.134 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 31.134 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 31.134 * [taylor]: Taking taylor expansion of J in K 31.134 * [backup-simplify]: Simplify J into J 31.134 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 31.134 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 31.134 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 31.134 * [taylor]: Taking taylor expansion of 1 in K 31.134 * [backup-simplify]: Simplify 1 into 1 31.134 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 31.134 * [taylor]: Taking taylor expansion of 1/4 in K 31.134 * [backup-simplify]: Simplify 1/4 into 1/4 31.134 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 31.134 * [taylor]: Taking taylor expansion of (pow J 2) in K 31.134 * [taylor]: Taking taylor expansion of J in K 31.134 * [backup-simplify]: Simplify J into J 31.134 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 31.134 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 31.134 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 31.134 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 31.134 * [taylor]: Taking taylor expansion of -1/2 in K 31.134 * [backup-simplify]: Simplify -1/2 into -1/2 31.134 * [taylor]: Taking taylor expansion of K in K 31.134 * [backup-simplify]: Simplify 0 into 0 31.134 * [backup-simplify]: Simplify 1 into 1 31.135 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 31.135 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 31.135 * [taylor]: Taking taylor expansion of (pow U 2) in K 31.135 * [taylor]: Taking taylor expansion of U in K 31.135 * [backup-simplify]: Simplify U into U 31.135 * [backup-simplify]: Simplify (* J J) into (pow J 2) 31.135 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 31.135 * [backup-simplify]: Simplify (* U U) into (pow U 2) 31.135 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 31.136 * [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))) 31.136 * [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)))) 31.136 * [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))))) 31.137 * [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)))))) 31.137 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 31.137 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 31.137 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 31.137 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 31.138 * [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 31.139 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 31.139 * [backup-simplify]: Simplify (+ 0 0) into 0 31.140 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 31.140 * [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 31.140 * [taylor]: Taking taylor expansion of 2 in J 31.140 * [backup-simplify]: Simplify 2 into 2 31.140 * [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 31.140 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 31.140 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 31.140 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 31.140 * [taylor]: Taking taylor expansion of -1/2 in J 31.140 * [backup-simplify]: Simplify -1/2 into -1/2 31.140 * [taylor]: Taking taylor expansion of K in J 31.140 * [backup-simplify]: Simplify K into K 31.140 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 31.140 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 31.140 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 31.140 * [taylor]: Taking taylor expansion of J in J 31.140 * [backup-simplify]: Simplify 0 into 0 31.140 * [backup-simplify]: Simplify 1 into 1 31.140 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 31.140 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 31.141 * [backup-simplify]: Simplify (- 0) into 0 31.141 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 31.141 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 31.141 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 31.141 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 31.141 * [taylor]: Taking taylor expansion of 1 in J 31.141 * [backup-simplify]: Simplify 1 into 1 31.141 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 31.141 * [taylor]: Taking taylor expansion of 1/4 in J 31.141 * [backup-simplify]: Simplify 1/4 into 1/4 31.141 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 31.141 * [taylor]: Taking taylor expansion of (pow J 2) in J 31.141 * [taylor]: Taking taylor expansion of J in J 31.141 * [backup-simplify]: Simplify 0 into 0 31.141 * [backup-simplify]: Simplify 1 into 1 31.141 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 31.141 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 31.141 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 31.142 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 31.142 * [taylor]: Taking taylor expansion of -1/2 in J 31.142 * [backup-simplify]: Simplify -1/2 into -1/2 31.142 * [taylor]: Taking taylor expansion of K in J 31.142 * [backup-simplify]: Simplify K into K 31.142 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 31.142 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 31.142 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 31.142 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 31.142 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 31.142 * [backup-simplify]: Simplify (- 0) into 0 31.143 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 31.143 * [taylor]: Taking taylor expansion of (pow U 2) in J 31.143 * [taylor]: Taking taylor expansion of U in J 31.143 * [backup-simplify]: Simplify U into U 31.143 * [backup-simplify]: Simplify (* 1 1) into 1 31.143 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 31.143 * [backup-simplify]: Simplify (* U U) into (pow U 2) 31.143 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 31.144 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 31.144 * [backup-simplify]: Simplify (+ 1 0) into 1 31.145 * [backup-simplify]: Simplify (sqrt 1) into 1 31.145 * [backup-simplify]: Simplify (+ 0 0) into 0 31.146 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 31.146 * [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 31.146 * [taylor]: Taking taylor expansion of 2 in U 31.146 * [backup-simplify]: Simplify 2 into 2 31.146 * [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 31.146 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 31.146 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 31.146 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 31.146 * [taylor]: Taking taylor expansion of -1/2 in U 31.146 * [backup-simplify]: Simplify -1/2 into -1/2 31.146 * [taylor]: Taking taylor expansion of K in U 31.146 * [backup-simplify]: Simplify K into K 31.146 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 31.146 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 31.146 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 31.146 * [taylor]: Taking taylor expansion of J in U 31.146 * [backup-simplify]: Simplify J into J 31.146 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 31.146 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 31.147 * [backup-simplify]: Simplify (- 0) into 0 31.147 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 31.147 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 31.147 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 31.147 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 31.147 * [taylor]: Taking taylor expansion of 1 in U 31.147 * [backup-simplify]: Simplify 1 into 1 31.147 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 31.147 * [taylor]: Taking taylor expansion of 1/4 in U 31.147 * [backup-simplify]: Simplify 1/4 into 1/4 31.147 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 31.147 * [taylor]: Taking taylor expansion of (pow J 2) in U 31.147 * [taylor]: Taking taylor expansion of J in U 31.147 * [backup-simplify]: Simplify J into J 31.147 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 31.147 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 31.147 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 31.147 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 31.147 * [taylor]: Taking taylor expansion of -1/2 in U 31.147 * [backup-simplify]: Simplify -1/2 into -1/2 31.147 * [taylor]: Taking taylor expansion of K in U 31.147 * [backup-simplify]: Simplify K into K 31.148 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 31.148 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 31.148 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 31.148 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 31.148 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 31.148 * [backup-simplify]: Simplify (- 0) into 0 31.148 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 31.149 * [taylor]: Taking taylor expansion of (pow U 2) in U 31.149 * [taylor]: Taking taylor expansion of U in U 31.149 * [backup-simplify]: Simplify 0 into 0 31.149 * [backup-simplify]: Simplify 1 into 1 31.149 * [backup-simplify]: Simplify (* J J) into (pow J 2) 31.149 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 31.149 * [backup-simplify]: Simplify (* 1 1) into 1 31.149 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 31.150 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 31.150 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 31.150 * [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))) 31.150 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 31.150 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 31.151 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 31.152 * [backup-simplify]: Simplify (+ 0) into 0 31.152 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 31.152 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 31.153 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 31.154 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 31.154 * [backup-simplify]: Simplify (- 0) into 0 31.154 * [backup-simplify]: Simplify (+ 0 0) into 0 31.155 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 31.155 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 31.156 * [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 31.156 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 31.157 * [backup-simplify]: Simplify (+ 0 0) into 0 31.157 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 31.157 * [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 31.157 * [taylor]: Taking taylor expansion of 2 in U 31.157 * [backup-simplify]: Simplify 2 into 2 31.157 * [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 31.157 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 31.157 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 31.157 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 31.157 * [taylor]: Taking taylor expansion of -1/2 in U 31.157 * [backup-simplify]: Simplify -1/2 into -1/2 31.157 * [taylor]: Taking taylor expansion of K in U 31.157 * [backup-simplify]: Simplify K into K 31.157 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 31.157 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 31.157 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 31.157 * [taylor]: Taking taylor expansion of J in U 31.157 * [backup-simplify]: Simplify J into J 31.158 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 31.158 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 31.158 * [backup-simplify]: Simplify (- 0) into 0 31.158 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 31.158 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 31.158 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 31.158 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 31.158 * [taylor]: Taking taylor expansion of 1 in U 31.158 * [backup-simplify]: Simplify 1 into 1 31.158 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 31.158 * [taylor]: Taking taylor expansion of 1/4 in U 31.158 * [backup-simplify]: Simplify 1/4 into 1/4 31.158 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 31.158 * [taylor]: Taking taylor expansion of (pow J 2) in U 31.159 * [taylor]: Taking taylor expansion of J in U 31.159 * [backup-simplify]: Simplify J into J 31.159 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 31.159 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 31.159 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 31.159 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 31.159 * [taylor]: Taking taylor expansion of -1/2 in U 31.159 * [backup-simplify]: Simplify -1/2 into -1/2 31.159 * [taylor]: Taking taylor expansion of K in U 31.159 * [backup-simplify]: Simplify K into K 31.159 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 31.159 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 31.159 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 31.159 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 31.159 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 31.160 * [backup-simplify]: Simplify (- 0) into 0 31.160 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 31.160 * [taylor]: Taking taylor expansion of (pow U 2) in U 31.160 * [taylor]: Taking taylor expansion of U in U 31.160 * [backup-simplify]: Simplify 0 into 0 31.160 * [backup-simplify]: Simplify 1 into 1 31.160 * [backup-simplify]: Simplify (* J J) into (pow J 2) 31.160 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 31.160 * [backup-simplify]: Simplify (* 1 1) into 1 31.160 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 31.161 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 31.161 * [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))) 31.161 * [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))) 31.161 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 31.161 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 31.162 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 31.165 * [backup-simplify]: Simplify (+ 0) into 0 31.166 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 31.166 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 31.167 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 31.167 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 31.168 * [backup-simplify]: Simplify (- 0) into 0 31.168 * [backup-simplify]: Simplify (+ 0 0) into 0 31.168 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 31.169 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 31.169 * [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 31.170 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 31.170 * [backup-simplify]: Simplify (+ 0 0) into 0 31.171 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 31.171 * [backup-simplify]: Simplify (* (/ (cos (/ -1/2 K)) J) (* 1/2 (/ J (cos (/ -1/2 K))))) into 1/2 31.172 * [backup-simplify]: Simplify (* 2 1/2) into 1 31.172 * [taylor]: Taking taylor expansion of 1 in J 31.172 * [backup-simplify]: Simplify 1 into 1 31.172 * [backup-simplify]: Simplify (+ 0) into 0 31.172 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 31.173 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 31.173 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 31.174 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 31.174 * [backup-simplify]: Simplify (- 0) into 0 31.175 * [backup-simplify]: Simplify (+ 0 0) into 0 31.175 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0 31.175 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 31.176 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0 31.176 * [taylor]: Taking taylor expansion of 0 in J 31.176 * [backup-simplify]: Simplify 0 into 0 31.176 * [taylor]: Taking taylor expansion of 1 in K 31.176 * [backup-simplify]: Simplify 1 into 1 31.176 * [backup-simplify]: Simplify 1 into 1 31.177 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 31.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 31.179 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 31.180 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 31.180 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 31.181 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 31.181 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 31.182 * [backup-simplify]: Simplify (- 0) into 0 31.182 * [backup-simplify]: Simplify (+ 0 0) into 0 31.183 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 31.183 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 31.184 * [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 31.185 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 31.185 * [backup-simplify]: Simplify (+ 1 0) into 1 31.186 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 31.187 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 31.188 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 31.188 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 31.189 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 31.189 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 31.190 * [backup-simplify]: Simplify (- 0) into 0 31.190 * [backup-simplify]: Simplify (+ 0 0) into 0 31.190 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 31.191 * [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)) 31.192 * [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))) 31.192 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J 31.192 * [taylor]: Taking taylor expansion of 2 in J 31.192 * [backup-simplify]: Simplify 2 into 2 31.192 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J 31.192 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 31.192 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 31.192 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 31.192 * [taylor]: Taking taylor expansion of -1/2 in J 31.192 * [backup-simplify]: Simplify -1/2 into -1/2 31.192 * [taylor]: Taking taylor expansion of K in J 31.192 * [backup-simplify]: Simplify K into K 31.192 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 31.192 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 31.192 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 31.192 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 31.192 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 31.193 * [backup-simplify]: Simplify (- 0) into 0 31.193 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 31.193 * [taylor]: Taking taylor expansion of (pow J 2) in J 31.193 * [taylor]: Taking taylor expansion of J in J 31.193 * [backup-simplify]: Simplify 0 into 0 31.193 * [backup-simplify]: Simplify 1 into 1 31.193 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 31.193 * [backup-simplify]: Simplify (* 1 1) into 1 31.194 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 31.194 * [backup-simplify]: Simplify (+ 0) into 0 31.194 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 31.195 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 31.195 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 31.196 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 31.196 * [backup-simplify]: Simplify (- 0) into 0 31.196 * [backup-simplify]: Simplify (+ 0 0) into 0 31.197 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 31.197 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 31.198 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 31.199 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 31.199 * [taylor]: Taking taylor expansion of 0 in K 31.199 * [backup-simplify]: Simplify 0 into 0 31.199 * [backup-simplify]: Simplify 0 into 0 31.199 * [taylor]: Taking taylor expansion of 0 in K 31.199 * [backup-simplify]: Simplify 0 into 0 31.199 * [backup-simplify]: Simplify 0 into 0 31.199 * [taylor]: Taking taylor expansion of 0 in K 31.199 * [backup-simplify]: Simplify 0 into 0 31.199 * [backup-simplify]: Simplify 0 into 0 31.199 * [backup-simplify]: Simplify 0 into 0 31.200 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 31.201 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 31.202 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 31.203 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 31.203 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 31.204 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 31.205 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 31.205 * [backup-simplify]: Simplify (- 0) into 0 31.206 * [backup-simplify]: Simplify (+ 0 0) into 0 31.207 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 31.208 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 31.208 * [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 31.209 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 31.210 * [backup-simplify]: Simplify (+ 0 0) into 0 31.210 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 31.211 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 31.212 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 31.212 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 31.213 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 31.213 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 31.213 * [backup-simplify]: Simplify (- 0) into 0 31.214 * [backup-simplify]: Simplify (+ 0 0) into 0 31.214 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 31.214 * [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 31.215 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 31.215 * [taylor]: Taking taylor expansion of 0 in J 31.215 * [backup-simplify]: Simplify 0 into 0 31.216 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 31.216 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 31.216 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 31.217 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 31.217 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 31.217 * [backup-simplify]: Simplify (- 0) into 0 31.217 * [backup-simplify]: Simplify (+ 0 0) into 0 31.218 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 31.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 31.220 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.220 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0 31.220 * [taylor]: Taking taylor expansion of 0 in K 31.220 * [backup-simplify]: Simplify 0 into 0 31.220 * [backup-simplify]: Simplify 0 into 0 31.220 * [taylor]: Taking taylor expansion of 0 in K 31.220 * [backup-simplify]: Simplify 0 into 0 31.220 * [backup-simplify]: Simplify 0 into 0 31.220 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U) 31.221 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 2) 31.221 * [backup-simplify]: Simplify (* (cos (* K 1/2)) (cos (* K 1/2))) into (pow (cos (* 1/2 K)) 2) 31.221 * [approximate]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in (K) around 0 31.221 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 31.221 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 31.221 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 31.221 * [taylor]: Taking taylor expansion of 1/2 in K 31.221 * [backup-simplify]: Simplify 1/2 into 1/2 31.221 * [taylor]: Taking taylor expansion of K in K 31.221 * [backup-simplify]: Simplify 0 into 0 31.221 * [backup-simplify]: Simplify 1 into 1 31.221 * [backup-simplify]: Simplify (* 1/2 0) into 0 31.221 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 31.222 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 31.222 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 31.222 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 31.222 * [taylor]: Taking taylor expansion of 1/2 in K 31.222 * [backup-simplify]: Simplify 1/2 into 1/2 31.222 * [taylor]: Taking taylor expansion of K in K 31.222 * [backup-simplify]: Simplify 0 into 0 31.222 * [backup-simplify]: Simplify 1 into 1 31.222 * [backup-simplify]: Simplify (* 1/2 0) into 0 31.222 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 31.223 * [backup-simplify]: Simplify (* 1 1) into 1 31.223 * [backup-simplify]: Simplify 1 into 1 31.223 * [backup-simplify]: Simplify (+ 0) into 0 31.223 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 31.223 * [backup-simplify]: Simplify 0 into 0 31.224 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 31.225 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (* -1/8 1))) into -1/4 31.225 * [backup-simplify]: Simplify -1/4 into -1/4 31.225 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 31.226 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 31.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/8) (+ (* -1/8 0) (* 0 1)))) into 0 31.227 * [backup-simplify]: Simplify 0 into 0 31.228 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 31.229 * [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 31.230 * [backup-simplify]: Simplify (+ (* 1 1/384) (+ (* 0 0) (+ (* -1/8 -1/8) (+ (* 0 0) (* 1/384 1))))) into 1/48 31.230 * [backup-simplify]: Simplify 1/48 into 1/48 31.230 * [backup-simplify]: Simplify (+ (* 1/48 (pow K 4)) (+ (* -1/4 (pow K 2)) 1)) into (- (+ (* 1/48 (pow K 4)) 1) (* 1/4 (pow K 2))) 31.231 * [backup-simplify]: Simplify (* (cos (* (/ 1 K) 1/2)) (cos (* (/ 1 K) 1/2))) into (pow (cos (/ 1/2 K)) 2) 31.231 * [approximate]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in (K) around 0 31.231 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 31.231 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 31.231 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 31.231 * [taylor]: Taking taylor expansion of 1/2 in K 31.231 * [backup-simplify]: Simplify 1/2 into 1/2 31.231 * [taylor]: Taking taylor expansion of K in K 31.231 * [backup-simplify]: Simplify 0 into 0 31.231 * [backup-simplify]: Simplify 1 into 1 31.231 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 31.231 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 31.231 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 31.231 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 31.231 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 31.231 * [taylor]: Taking taylor expansion of 1/2 in K 31.231 * [backup-simplify]: Simplify 1/2 into 1/2 31.231 * [taylor]: Taking taylor expansion of K in K 31.231 * [backup-simplify]: Simplify 0 into 0 31.231 * [backup-simplify]: Simplify 1 into 1 31.232 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 31.232 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 31.232 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 31.232 * [backup-simplify]: Simplify (pow (cos (/ 1/2 K)) 2) into (pow (cos (/ 1/2 K)) 2) 31.232 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 31.232 * [backup-simplify]: Simplify 0 into 0 31.233 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 31.233 * [backup-simplify]: Simplify 0 into 0 31.233 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 31.233 * [backup-simplify]: Simplify 0 into 0 31.234 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))))) into 0 31.234 * [backup-simplify]: Simplify 0 into 0 31.235 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))))) into 0 31.235 * [backup-simplify]: Simplify 0 into 0 31.236 * [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 31.236 * [backup-simplify]: Simplify 0 into 0 31.236 * [backup-simplify]: Simplify (pow (cos (/ 1/2 (/ 1 K))) 2) into (pow (cos (* 1/2 K)) 2) 31.237 * [backup-simplify]: Simplify (* (cos (* (/ 1 (- K)) 1/2)) (cos (* (/ 1 (- K)) 1/2))) into (pow (cos (/ -1/2 K)) 2) 31.237 * [approximate]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in (K) around 0 31.237 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 31.237 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 31.237 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 31.237 * [taylor]: Taking taylor expansion of -1/2 in K 31.237 * [backup-simplify]: Simplify -1/2 into -1/2 31.237 * [taylor]: Taking taylor expansion of K in K 31.237 * [backup-simplify]: Simplify 0 into 0 31.237 * [backup-simplify]: Simplify 1 into 1 31.237 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 31.237 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 31.237 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 31.237 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 31.237 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 31.237 * [taylor]: Taking taylor expansion of -1/2 in K 31.237 * [backup-simplify]: Simplify -1/2 into -1/2 31.237 * [taylor]: Taking taylor expansion of K in K 31.237 * [backup-simplify]: Simplify 0 into 0 31.237 * [backup-simplify]: Simplify 1 into 1 31.237 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 31.238 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 31.238 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 31.238 * [backup-simplify]: Simplify (pow (cos (/ -1/2 K)) 2) into (pow (cos (/ -1/2 K)) 2) 31.238 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 31.238 * [backup-simplify]: Simplify 0 into 0 31.238 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 31.238 * [backup-simplify]: Simplify 0 into 0 31.239 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 31.239 * [backup-simplify]: Simplify 0 into 0 31.240 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))))) into 0 31.240 * [backup-simplify]: Simplify 0 into 0 31.241 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))))) into 0 31.241 * [backup-simplify]: Simplify 0 into 0 31.242 * [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 31.242 * [backup-simplify]: Simplify 0 into 0 31.242 * [backup-simplify]: Simplify (pow (cos (/ -1/2 (/ 1 (- K)))) 2) into (pow (cos (* 1/2 K)) 2) 31.242 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 1) 31.242 * [backup-simplify]: Simplify (* (/ U J) (/ U J)) into (/ (pow U 2) (pow J 2)) 31.242 * [approximate]: Taking taylor expansion of (/ (pow U 2) (pow J 2)) in (U J) around 0 31.242 * [taylor]: Taking taylor expansion of (/ (pow U 2) (pow J 2)) in J 31.242 * [taylor]: Taking taylor expansion of (pow U 2) in J 31.242 * [taylor]: Taking taylor expansion of U in J 31.242 * [backup-simplify]: Simplify U into U 31.242 * [taylor]: Taking taylor expansion of (pow J 2) in J 31.242 * [taylor]: Taking taylor expansion of J in J 31.242 * [backup-simplify]: Simplify 0 into 0 31.242 * [backup-simplify]: Simplify 1 into 1 31.242 * [backup-simplify]: Simplify (* U U) into (pow U 2) 31.243 * [backup-simplify]: Simplify (* 1 1) into 1 31.243 * [backup-simplify]: Simplify (/ (pow U 2) 1) into (pow U 2) 31.243 * [taylor]: Taking taylor expansion of (/ (pow U 2) (pow J 2)) in U 31.243 * [taylor]: Taking taylor expansion of (pow U 2) in U 31.243 * [taylor]: Taking taylor expansion of U in U 31.243 * [backup-simplify]: Simplify 0 into 0 31.243 * [backup-simplify]: Simplify 1 into 1 31.243 * [taylor]: Taking taylor expansion of (pow J 2) in U 31.243 * [taylor]: Taking taylor expansion of J in U 31.243 * [backup-simplify]: Simplify J into J 31.243 * [backup-simplify]: Simplify (* 1 1) into 1 31.243 * [backup-simplify]: Simplify (* J J) into (pow J 2) 31.243 * [backup-simplify]: Simplify (/ 1 (pow J 2)) into (/ 1 (pow J 2)) 31.243 * [taylor]: Taking taylor expansion of (/ (pow U 2) (pow J 2)) in U 31.243 * [taylor]: Taking taylor expansion of (pow U 2) in U 31.243 * [taylor]: Taking taylor expansion of U in U 31.243 * [backup-simplify]: Simplify 0 into 0 31.243 * [backup-simplify]: Simplify 1 into 1 31.243 * [taylor]: Taking taylor expansion of (pow J 2) in U 31.243 * [taylor]: Taking taylor expansion of J in U 31.243 * [backup-simplify]: Simplify J into J 31.244 * [backup-simplify]: Simplify (* 1 1) into 1 31.244 * [backup-simplify]: Simplify (* J J) into (pow J 2) 31.244 * [backup-simplify]: Simplify (/ 1 (pow J 2)) into (/ 1 (pow J 2)) 31.244 * [taylor]: Taking taylor expansion of (/ 1 (pow J 2)) in J 31.244 * [taylor]: Taking taylor expansion of (pow J 2) in J 31.244 * [taylor]: Taking taylor expansion of J in J 31.244 * [backup-simplify]: Simplify 0 into 0 31.244 * [backup-simplify]: Simplify 1 into 1 31.244 * [backup-simplify]: Simplify (* 1 1) into 1 31.245 * [backup-simplify]: Simplify (/ 1 1) into 1 31.245 * [backup-simplify]: Simplify 1 into 1 31.246 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 31.246 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 31.246 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1 (pow J 2)) (/ 0 (pow J 2))))) into 0 31.246 * [taylor]: Taking taylor expansion of 0 in J 31.246 * [backup-simplify]: Simplify 0 into 0 31.247 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 31.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 31.248 * [backup-simplify]: Simplify 0 into 0 31.249 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 31.249 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 31.249 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1 (pow J 2)) (/ 0 (pow J 2))) (* 0 (/ 0 (pow J 2))))) into 0 31.249 * [taylor]: Taking taylor expansion of 0 in J 31.250 * [backup-simplify]: Simplify 0 into 0 31.250 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 31.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.251 * [backup-simplify]: Simplify 0 into 0 31.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 31.253 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 31.254 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1 (pow J 2)) (/ 0 (pow J 2))) (* 0 (/ 0 (pow J 2))) (* 0 (/ 0 (pow J 2))))) into 0 31.254 * [taylor]: Taking taylor expansion of 0 in J 31.254 * [backup-simplify]: Simplify 0 into 0 31.254 * [backup-simplify]: Simplify 0 into 0 31.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 31.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.256 * [backup-simplify]: Simplify 0 into 0 31.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 31.258 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 J))))) into 0 31.259 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1 (pow J 2)) (/ 0 (pow J 2))) (* 0 (/ 0 (pow J 2))) (* 0 (/ 0 (pow J 2))) (* 0 (/ 0 (pow J 2))))) into 0 31.259 * [taylor]: Taking taylor expansion of 0 in J 31.259 * [backup-simplify]: Simplify 0 into 0 31.259 * [backup-simplify]: Simplify 0 into 0 31.259 * [backup-simplify]: Simplify 0 into 0 31.259 * [backup-simplify]: Simplify (* 1 (pow (* (/ 1 J) U) 2)) into (/ (pow U 2) (pow J 2)) 31.259 * [backup-simplify]: Simplify (* (/ (/ 1 U) (/ 1 J)) (/ (/ 1 U) (/ 1 J))) into (/ (pow J 2) (pow U 2)) 31.259 * [approximate]: Taking taylor expansion of (/ (pow J 2) (pow U 2)) in (U J) around 0 31.259 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow U 2)) in J 31.259 * [taylor]: Taking taylor expansion of (pow J 2) in J 31.259 * [taylor]: Taking taylor expansion of J in J 31.259 * [backup-simplify]: Simplify 0 into 0 31.259 * [backup-simplify]: Simplify 1 into 1 31.259 * [taylor]: Taking taylor expansion of (pow U 2) in J 31.259 * [taylor]: Taking taylor expansion of U in J 31.259 * [backup-simplify]: Simplify U into U 31.260 * [backup-simplify]: Simplify (* 1 1) into 1 31.260 * [backup-simplify]: Simplify (* U U) into (pow U 2) 31.260 * [backup-simplify]: Simplify (/ 1 (pow U 2)) into (/ 1 (pow U 2)) 31.260 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow U 2)) in U 31.260 * [taylor]: Taking taylor expansion of (pow J 2) in U 31.260 * [taylor]: Taking taylor expansion of J in U 31.260 * [backup-simplify]: Simplify J into J 31.260 * [taylor]: Taking taylor expansion of (pow U 2) in U 31.260 * [taylor]: Taking taylor expansion of U in U 31.260 * [backup-simplify]: Simplify 0 into 0 31.260 * [backup-simplify]: Simplify 1 into 1 31.260 * [backup-simplify]: Simplify (* J J) into (pow J 2) 31.261 * [backup-simplify]: Simplify (* 1 1) into 1 31.261 * [backup-simplify]: Simplify (/ (pow J 2) 1) into (pow J 2) 31.261 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow U 2)) in U 31.261 * [taylor]: Taking taylor expansion of (pow J 2) in U 31.261 * [taylor]: Taking taylor expansion of J in U 31.261 * [backup-simplify]: Simplify J into J 31.261 * [taylor]: Taking taylor expansion of (pow U 2) in U 31.261 * [taylor]: Taking taylor expansion of U in U 31.261 * [backup-simplify]: Simplify 0 into 0 31.261 * [backup-simplify]: Simplify 1 into 1 31.261 * [backup-simplify]: Simplify (* J J) into (pow J 2) 31.261 * [backup-simplify]: Simplify (* 1 1) into 1 31.261 * [backup-simplify]: Simplify (/ (pow J 2) 1) into (pow J 2) 31.262 * [taylor]: Taking taylor expansion of (pow J 2) in J 31.262 * [taylor]: Taking taylor expansion of J in J 31.262 * [backup-simplify]: Simplify 0 into 0 31.262 * [backup-simplify]: Simplify 1 into 1 31.262 * [backup-simplify]: Simplify (* 1 1) into 1 31.262 * [backup-simplify]: Simplify 1 into 1 31.262 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 31.263 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 31.264 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow J 2) (/ 0 1)))) into 0 31.264 * [taylor]: Taking taylor expansion of 0 in J 31.264 * [backup-simplify]: Simplify 0 into 0 31.264 * [backup-simplify]: Simplify 0 into 0 31.264 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 31.264 * [backup-simplify]: Simplify 0 into 0 31.265 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 31.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 31.267 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow J 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.267 * [taylor]: Taking taylor expansion of 0 in J 31.267 * [backup-simplify]: Simplify 0 into 0 31.267 * [backup-simplify]: Simplify 0 into 0 31.267 * [backup-simplify]: Simplify 0 into 0 31.268 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 31.268 * [backup-simplify]: Simplify 0 into 0 31.269 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 31.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 31.272 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow J 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.272 * [taylor]: Taking taylor expansion of 0 in J 31.272 * [backup-simplify]: Simplify 0 into 0 31.272 * [backup-simplify]: Simplify 0 into 0 31.273 * [backup-simplify]: Simplify (* 1 (pow (* (/ 1 J) (/ 1 (/ 1 U))) 2)) into (/ (pow U 2) (pow J 2)) 31.273 * [backup-simplify]: Simplify (* (/ (/ 1 (- U)) (/ 1 (- J))) (/ (/ 1 (- U)) (/ 1 (- J)))) into (/ (pow J 2) (pow U 2)) 31.273 * [approximate]: Taking taylor expansion of (/ (pow J 2) (pow U 2)) in (U J) around 0 31.273 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow U 2)) in J 31.273 * [taylor]: Taking taylor expansion of (pow J 2) in J 31.273 * [taylor]: Taking taylor expansion of J in J 31.273 * [backup-simplify]: Simplify 0 into 0 31.273 * [backup-simplify]: Simplify 1 into 1 31.273 * [taylor]: Taking taylor expansion of (pow U 2) in J 31.273 * [taylor]: Taking taylor expansion of U in J 31.273 * [backup-simplify]: Simplify U into U 31.273 * [backup-simplify]: Simplify (* 1 1) into 1 31.273 * [backup-simplify]: Simplify (* U U) into (pow U 2) 31.274 * [backup-simplify]: Simplify (/ 1 (pow U 2)) into (/ 1 (pow U 2)) 31.274 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow U 2)) in U 31.274 * [taylor]: Taking taylor expansion of (pow J 2) in U 31.274 * [taylor]: Taking taylor expansion of J in U 31.274 * [backup-simplify]: Simplify J into J 31.274 * [taylor]: Taking taylor expansion of (pow U 2) in U 31.274 * [taylor]: Taking taylor expansion of U in U 31.274 * [backup-simplify]: Simplify 0 into 0 31.274 * [backup-simplify]: Simplify 1 into 1 31.274 * [backup-simplify]: Simplify (* J J) into (pow J 2) 31.274 * [backup-simplify]: Simplify (* 1 1) into 1 31.274 * [backup-simplify]: Simplify (/ (pow J 2) 1) into (pow J 2) 31.274 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow U 2)) in U 31.274 * [taylor]: Taking taylor expansion of (pow J 2) in U 31.274 * [taylor]: Taking taylor expansion of J in U 31.274 * [backup-simplify]: Simplify J into J 31.274 * [taylor]: Taking taylor expansion of (pow U 2) in U 31.274 * [taylor]: Taking taylor expansion of U in U 31.275 * [backup-simplify]: Simplify 0 into 0 31.275 * [backup-simplify]: Simplify 1 into 1 31.275 * [backup-simplify]: Simplify (* J J) into (pow J 2) 31.275 * [backup-simplify]: Simplify (* 1 1) into 1 31.275 * [backup-simplify]: Simplify (/ (pow J 2) 1) into (pow J 2) 31.275 * [taylor]: Taking taylor expansion of (pow J 2) in J 31.275 * [taylor]: Taking taylor expansion of J in J 31.275 * [backup-simplify]: Simplify 0 into 0 31.275 * [backup-simplify]: Simplify 1 into 1 31.276 * [backup-simplify]: Simplify (* 1 1) into 1 31.276 * [backup-simplify]: Simplify 1 into 1 31.276 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 31.277 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 31.278 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow J 2) (/ 0 1)))) into 0 31.278 * [taylor]: Taking taylor expansion of 0 in J 31.278 * [backup-simplify]: Simplify 0 into 0 31.278 * [backup-simplify]: Simplify 0 into 0 31.278 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 31.278 * [backup-simplify]: Simplify 0 into 0 31.279 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 31.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 31.281 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow J 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.281 * [taylor]: Taking taylor expansion of 0 in J 31.281 * [backup-simplify]: Simplify 0 into 0 31.281 * [backup-simplify]: Simplify 0 into 0 31.281 * [backup-simplify]: Simplify 0 into 0 31.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 31.282 * [backup-simplify]: Simplify 0 into 0 31.283 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 31.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 31.286 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow J 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.286 * [taylor]: Taking taylor expansion of 0 in J 31.286 * [backup-simplify]: Simplify 0 into 0 31.286 * [backup-simplify]: Simplify 0 into 0 31.286 * [backup-simplify]: Simplify (* 1 (pow (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))) 2)) into (/ (pow U 2) (pow J 2)) 31.286 * * * [progress]: simplifying candidates 31.286 * * * * [progress]: [ 1 / 153 ] simplifiying candidate # 31.287 * * * * [progress]: [ 2 / 153 ] simplifiying candidate # 31.287 * * * * [progress]: [ 3 / 153 ] simplifiying candidate # 31.287 * * * * [progress]: [ 4 / 153 ] simplifiying candidate # 31.287 * * * * [progress]: [ 5 / 153 ] simplifiying candidate # 31.287 * * * * [progress]: [ 6 / 153 ] simplifiying candidate # 31.287 * * * * [progress]: [ 7 / 153 ] simplifiying candidate # 31.287 * * * * [progress]: [ 8 / 153 ] simplifiying candidate # 31.287 * * * * [progress]: [ 9 / 153 ] simplifiying candidate # 31.287 * * * * [progress]: [ 10 / 153 ] simplifiying candidate # 31.287 * * * * [progress]: [ 11 / 153 ] simplifiying candidate # 31.287 * * * * [progress]: [ 12 / 153 ] simplifiying candidate # 31.287 * * * * [progress]: [ 13 / 153 ] simplifiying candidate # 31.288 * * * * [progress]: [ 14 / 153 ] simplifiying candidate # 31.288 * * * * [progress]: [ 15 / 153 ] simplifiying candidate # 31.288 * * * * [progress]: [ 16 / 153 ] simplifiying candidate # 31.288 * * * * [progress]: [ 17 / 153 ] simplifiying candidate #real (real->posit16 (sqrt (+ (/ (* (* (/ U J) (/ U J)) 1/4) (* (cos (* K 1/2)) (cos (* K 1/2)))) 1)))) (* (cos (/ K 2)) (* -2 J))))> 31.288 * * * * [progress]: [ 18 / 153 ] simplifiying candidate # 31.288 * * * * [progress]: [ 19 / 153 ] simplifiying candidate # 31.288 * * * * [progress]: [ 20 / 153 ] simplifiying candidate # 31.288 * * * * [progress]: [ 21 / 153 ] simplifiying candidate # 31.288 * * * * [progress]: [ 22 / 153 ] simplifiying candidate # 31.288 * * * * [progress]: [ 23 / 153 ] simplifiying candidate # 31.288 * * * * [progress]: [ 24 / 153 ] simplifiying candidate # 31.289 * * * * [progress]: [ 25 / 153 ] simplifiying candidate # 31.289 * * * * [progress]: [ 26 / 153 ] simplifiying candidate # 31.289 * * * * [progress]: [ 27 / 153 ] simplifiying candidate # 31.289 * * * * [progress]: [ 28 / 153 ] simplifiying candidate # 31.289 * * * * [progress]: [ 29 / 153 ] simplifiying candidate # 31.289 * * * * [progress]: [ 30 / 153 ] simplifiying candidate # 31.289 * * * * [progress]: [ 31 / 153 ] simplifiying candidate # 31.289 * * * * [progress]: [ 32 / 153 ] simplifiying candidate # 31.289 * * * * [progress]: [ 33 / 153 ] simplifiying candidate # 31.289 * * * * [progress]: [ 34 / 153 ] simplifiying candidate # 31.289 * * * * [progress]: [ 35 / 153 ] simplifiying candidate # 31.289 * * * * [progress]: [ 36 / 153 ] simplifiying candidate # 31.289 * * * * [progress]: [ 37 / 153 ] simplifiying candidate # 31.290 * * * * [progress]: [ 38 / 153 ] simplifiying candidate # 31.290 * * * * [progress]: [ 39 / 153 ] simplifiying candidate # 31.290 * * * * [progress]: [ 40 / 153 ] simplifiying candidate # 31.290 * * * * [progress]: [ 41 / 153 ] simplifiying candidate # 31.290 * * * * [progress]: [ 42 / 153 ] simplifiying candidate # 31.290 * * * * [progress]: [ 43 / 153 ] simplifiying candidate # 31.290 * * * * [progress]: [ 44 / 153 ] simplifiying candidate #real (real->posit16 (* (sqrt (+ (/ (* (* (/ U J) (/ U J)) 1/4) (* (cos (* K 1/2)) (cos (* K 1/2)))) 1)) (* (cos (/ K 2)) (* -2 J))))))> 31.290 * * * * [progress]: [ 45 / 153 ] simplifiying candidate # 31.290 * * * * [progress]: [ 46 / 153 ] simplifiying candidate # 31.290 * * * * [progress]: [ 47 / 153 ] simplifiying candidate # 31.290 * * * * [progress]: [ 48 / 153 ] simplifiying candidate # 31.290 * * * * [progress]: [ 49 / 153 ] simplifiying candidate # 31.290 * * * * [progress]: [ 50 / 153 ] simplifiying candidate # 31.291 * * * * [progress]: [ 51 / 153 ] simplifiying candidate # 31.291 * * * * [progress]: [ 52 / 153 ] simplifiying candidate # 31.291 * * * * [progress]: [ 53 / 153 ] simplifiying candidate # 31.291 * * * * [progress]: [ 54 / 153 ] simplifiying candidate # 31.291 * * * * [progress]: [ 55 / 153 ] simplifiying candidate # 31.291 * * * * [progress]: [ 56 / 153 ] simplifiying candidate # 31.291 * * * * [progress]: [ 57 / 153 ] simplifiying candidate # 31.291 * * * * [progress]: [ 58 / 153 ] simplifiying candidate # 31.291 * * * * [progress]: [ 59 / 153 ] simplifiying candidate # 31.291 * * * * [progress]: [ 60 / 153 ] simplifiying candidate # 31.291 * * * * [progress]: [ 61 / 153 ] simplifiying candidate # 31.291 * * * * [progress]: [ 62 / 153 ] simplifiying candidate # 31.291 * * * * [progress]: [ 63 / 153 ] simplifiying candidate # 31.291 * * * * [progress]: [ 64 / 153 ] simplifiying candidate # 31.292 * * * * [progress]: [ 65 / 153 ] simplifiying candidate # 31.292 * * * * [progress]: [ 66 / 153 ] simplifiying candidate # 31.292 * * * * [progress]: [ 67 / 153 ] simplifiying candidate # 31.292 * * * * [progress]: [ 68 / 153 ] simplifiying candidate # 31.292 * * * * [progress]: [ 69 / 153 ] simplifiying candidate # 31.292 * * * * [progress]: [ 70 / 153 ] simplifiying candidate # 31.292 * * * * [progress]: [ 71 / 153 ] simplifiying candidate # 31.292 * * * * [progress]: [ 72 / 153 ] simplifiying candidate #real (real->posit16 (* (cos (* K 1/2)) (cos (* K 1/2)))))) 1)) (* (cos (/ K 2)) (* -2 J))))> 31.292 * * * * [progress]: [ 73 / 153 ] simplifiying candidate # 31.292 * * * * [progress]: [ 74 / 153 ] simplifiying candidate # 31.292 * * * * [progress]: [ 75 / 153 ] simplifiying candidate # 31.292 * * * * [progress]: [ 76 / 153 ] 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31.293 * * * * [progress]: [ 92 / 153 ] simplifiying candidate # 31.294 * * * * [progress]: [ 93 / 153 ] simplifiying candidate # 31.294 * * * * [progress]: [ 94 / 153 ] simplifiying candidate # 31.294 * * * * [progress]: [ 95 / 153 ] simplifiying candidate # 31.294 * * * * [progress]: [ 96 / 153 ] simplifiying candidate # 31.294 * * * * [progress]: [ 97 / 153 ] simplifiying candidate # 31.294 * * * * [progress]: [ 98 / 153 ] simplifiying candidate # 31.294 * * * * [progress]: [ 99 / 153 ] simplifiying candidate # 31.294 * * * * [progress]: [ 100 / 153 ] simplifiying candidate # 31.294 * * * * [progress]: [ 101 / 153 ] simplifiying candidate # 31.294 * * * * [progress]: [ 102 / 153 ] simplifiying candidate # 31.294 * * * * [progress]: [ 103 / 153 ] simplifiying candidate # 31.294 * * * * [progress]: [ 104 / 153 ] simplifiying candidate # 31.294 * * * * [progress]: [ 105 / 153 ] simplifiying candidate # 31.294 * * * * [progress]: [ 106 / 153 ] simplifiying candidate # 31.295 * * * * 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[progress]: [ 122 / 153 ] simplifiying candidate # 31.296 * * * * [progress]: [ 123 / 153 ] simplifiying candidate # 31.296 * * * * [progress]: [ 124 / 153 ] simplifiying candidate # 31.296 * * * * [progress]: [ 125 / 153 ] simplifiying candidate # 31.296 * * * * [progress]: [ 126 / 153 ] simplifiying candidate # 31.296 * * * * [progress]: [ 127 / 153 ] simplifiying candidate # 31.296 * * * * [progress]: [ 128 / 153 ] simplifiying candidate # 31.296 * * * * [progress]: [ 129 / 153 ] simplifiying candidate # 31.296 * * * * [progress]: [ 130 / 153 ] simplifiying candidate # 31.296 * * * * [progress]: [ 131 / 153 ] simplifiying candidate # 31.296 * * * * [progress]: [ 132 / 153 ] simplifiying candidate # 31.296 * * * * [progress]: [ 133 / 153 ] simplifiying candidate # 31.297 * * * * [progress]: [ 134 / 153 ] simplifiying candidate # 31.297 * * * * [progress]: [ 135 / 153 ] simplifiying candidate # 31.297 * * * * [progress]: [ 136 / 153 ] simplifiying candidate # 31.297 * * * * [progress]: [ 137 / 153 ] simplifiying candidate # 31.297 * * * * [progress]: [ 138 / 153 ] simplifiying candidate # 31.297 * * * * [progress]: [ 139 / 153 ] simplifiying candidate # 31.297 * * * * [progress]: [ 140 / 153 ] simplifiying candidate #real (real->posit16 (* (/ U J) (/ U J)))) 1/4) (* (cos (* K 1/2)) (cos (* K 1/2)))) 1)) (* (cos (/ K 2)) (* -2 J))))> 31.297 * * * * [progress]: [ 141 / 153 ] simplifiying candidate # 31.297 * * * * [progress]: [ 142 / 153 ] simplifiying candidate # 31.297 * * * * [progress]: [ 143 / 153 ] simplifiying candidate # 31.297 * * * * [progress]: [ 144 / 153 ] simplifiying candidate # 31.297 * * * * [progress]: [ 145 / 153 ] simplifiying candidate # 31.297 * * * * [progress]: [ 146 / 153 ] simplifiying candidate # 31.297 * * * * [progress]: [ 147 / 153 ] simplifiying candidate # 31.297 * * * * [progress]: [ 148 / 153 ] simplifiying candidate # 31.297 * * * * [progress]: [ 149 / 153 ] simplifiying candidate # 31.297 * * * * [progress]: [ 150 / 153 ] simplifiying candidate # 31.298 * * * * [progress]: [ 151 / 153 ] simplifiying candidate # 31.298 * * * * [progress]: [ 152 / 153 ] simplifiying candidate # 31.298 * * * * [progress]: [ 153 / 153 ] simplifiying candidate # 31.303 * [simplify]: Simplifying: (log (sqrt (+ (/ (* (* (/ U J) (/ U J)) 1/4) (* (cos (* K 1/2)) (cos (* K 1/2)))) 1))) (exp (sqrt (+ (/ (* (* (/ U J) (/ U J)) 1/4) (* (cos (* K 1/2)) (cos (* K 1/2)))) 1))) (* (cbrt (sqrt (+ (/ (* (* (/ U J) (/ U J)) 1/4) (* (cos (* K 1/2)) (cos (* K 1/2)))) 1))) (cbrt (sqrt (+ (/ (* (* (/ U J) (/ U J)) 1/4) (* (cos (* K 1/2)) (cos (* K 1/2)))) 1)))) (cbrt (sqrt (+ (/ (* (* (/ U J) (/ U J)) 1/4) (* (cos (* K 1/2)) (cos (* K 1/2)))) 1))) (* (* (sqrt (+ (/ (* (* (/ U J) (/ U J)) 1/4) (* (cos (* K 1/2)) (cos (* K 1/2)))) 1)) (sqrt (+ (/ (* (* (/ U J) (/ U J)) 1/4) (* (cos (* K 1/2)) (cos (* K 1/2)))) 1))) (sqrt (+ (/ (* (* (/ U J) (/ U J)) 1/4) (* (cos (* K 1/2)) (cos (* K 1/2)))) 1))) (sqrt (* (cbrt (+ (/ (* (* (/ U J) (/ U J)) 1/4) (* (cos (* K 1/2)) (cos (* K 1/2)))) 1)) (cbrt (+ (/ (* (* (/ U J) (/ U J)) 1/4) (* (cos (* K 1/2)) (cos (* K 1/2)))) 1)))) (sqrt (cbrt (+ (/ (* (* (/ U J) (/ U J)) 1/4) (* (cos (* K 1/2)) (cos (* K 1/2)))) 1))) (sqrt (sqrt (+ (/ (* (* (/ U J) (/ U J)) 1/4) (* (cos (* K 1/2)) (cos (* K 1/2)))) 1))) (sqrt (sqrt (+ (/ (* (* (/ U J) (/ U J)) 1/4) (* (cos (* K 1/2)) (cos (* K 1/2)))) 1))) (sqrt 1) (sqrt (+ (/ (* (* (/ U J) (/ U J)) 1/4) (* (cos (* K 1/2)) (cos (* K 1/2)))) 1)) (sqrt 1) (sqrt (+ (/ (* (* (/ U J) (/ U J)) 1/4) (* (cos (* K 1/2)) (cos (* K 1/2)))) 1)) (sqrt (+ (pow (/ (* (* (/ U J) (/ U J)) 1/4) (* (cos (* K 1/2)) (cos (* K 1/2)))) 3) (pow 1 3))) (sqrt (+ (* (/ (* (* (/ U J) (/ U J)) 1/4) (* (cos (* K 1/2)) (cos (* K 1/2)))) (/ (* (* (/ U J) (/ U J)) 1/4) (* (cos (* K 1/2)) (cos (* K 1/2))))) (- (* 1 1) (* (/ (* (* (/ U J) (/ U J)) 1/4) (* (cos (* K 1/2)) (cos (* K 1/2)))) 1)))) (sqrt (- (* (/ (* (* (/ U J) (/ U J)) 1/4) (* (cos (* K 1/2)) (cos (* K 1/2)))) (/ (* (* (/ U J) (/ U J)) 1/4) (* (cos (* K 1/2)) (cos (* K 1/2))))) (* 1 1))) (sqrt (- (/ (* (* (/ U J) (/ U J)) 1/4) (* (cos (* K 1/2)) (cos (* K 1/2)))) 1)) (/ 1 2) (sqrt (sqrt (+ (/ (* (* (/ U J) (/ U J)) 1/4) (* (cos (* K 1/2)) (cos (* K 1/2)))) 1))) (sqrt (sqrt (+ (/ (* (* (/ U J) (/ U J)) 1/4) (* (cos (* K 1/2)) (cos (* K 1/2)))) 1))) (real->posit16 (sqrt (+ (/ (* (* (/ U J) (/ U J)) 1/4) (* (cos (* K 1/2)) (cos (* K 1/2)))) 1))) (* (sqrt (+ (/ (* (* (/ U J) (/ U J)) 1/4) (* (cos (* K 1/2)) (cos (* K 1/2)))) 1)) (* (cos (/ K 2)) (* -2 J))) (* (sqrt (+ (/ (* (* (/ U J) (/ U J)) 1/4) (* (cos (* K 1/2)) (cos (* K 1/2)))) 1)) (* (cos (/ K 2)) (* -2 J))) (* (sqrt (+ (/ (* (* (/ U J) (/ U J)) 1/4) (* (cos (* K 1/2)) (cos (* K 1/2)))) 1)) (* (cos (/ K 2)) (* -2 J))) (+ (log (sqrt (+ (/ (* (* (/ U J) (/ U J)) 1/4) (* (cos (* K 1/2)) (cos (* K 1/2)))) 1))) (+ (log (cos (/ K 2))) (+ (log -2) (log J)))) (+ (log (sqrt (+ (/ (* (* (/ U J) (/ U J)) 1/4) (* (cos (* K 1/2)) (cos (* K 1/2)))) 1))) (+ (log (cos (/ K 2))) (log (* -2 J)))) (+ (log (sqrt (+ (/ (* (* (/ U J) (/ U J)) 1/4) (* (cos (* K 1/2)) (cos (* K 1/2)))) 1))) (log (* (cos (/ K 2)) (* -2 J)))) (log (* (sqrt (+ (/ (* (* (/ U J) (/ U J)) 1/4) (* (cos (* K 1/2)) (cos (* K 1/2)))) 1)) (* (cos (/ K 2)) (* -2 J)))) (exp (* (sqrt (+ (/ (* (* (/ U J) (/ U J)) 1/4) (* (cos (* K 1/2)) (cos (* K 1/2)))) 1)) (* (cos (/ K 2)) (* -2 J)))) (* (* (* (sqrt (+ (/ (* (* (/ U J) (/ U J)) 1/4) (* (cos (* K 1/2)) (cos (* K 1/2)))) 1)) (sqrt (+ (/ (* (* (/ U J) (/ U J)) 1/4) (* (cos (* K 1/2)) (cos (* K 1/2)))) 1))) (sqrt (+ (/ (* (* (/ U J) (/ U J)) 1/4) (* (cos (* K 1/2)) (cos (* K 1/2)))) 1))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* -2 -2) -2) (* (* J J) J)))) (* (* (* (sqrt (+ (/ (* (* (/ U J) (/ U J)) 1/4) (* (cos (* K 1/2)) (cos (* K 1/2)))) 1)) (sqrt (+ (/ (* (* (/ U J) (/ U J)) 1/4) (* (cos (* K 1/2)) (cos (* K 1/2)))) 1))) (sqrt (+ (/ (* (* (/ U J) (/ U J)) 1/4) (* (cos (* K 1/2)) (cos (* K 1/2)))) 1))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* -2 J) (* -2 J)) (* -2 J)))) (* (* (* (sqrt (+ (/ (* (* (/ U J) (/ U J)) 1/4) (* (cos (* K 1/2)) (cos (* K 1/2)))) 1)) (sqrt (+ (/ (* (* (/ U J) (/ U J)) 1/4) (* (cos (* K 1/2)) (cos (* K 1/2)))) 1))) (sqrt (+ (/ (* (* (/ U J) (/ U J)) 1/4) (* (cos (* K 1/2)) (cos (* K 1/2)))) 1))) (* (* (* (cos (/ K 2)) (* -2 J)) (* (cos (/ K 2)) (* -2 J))) (* (cos (/ K 2)) (* -2 J)))) (* (cbrt (* (sqrt (+ (/ (* (* (/ U J) (/ U J)) 1/4) (* (cos (* K 1/2)) (cos (* K 1/2)))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (/ (* (* (/ U J) (/ U J)) 1/4) (* (cos (* K 1/2)) (cos (* K 1/2)))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (/ (* (* (/ U J) (/ U J)) 1/4) (* (cos (* K 1/2)) (cos (* K 1/2)))) 1)) (* (cos (/ K 2)) (* -2 J)))) (* (* (* (sqrt (+ (/ (* (* (/ U J) (/ U J)) 1/4) (* (cos (* K 1/2)) (cos (* K 1/2)))) 1)) (* (cos (/ K 2)) (* -2 J))) (* (sqrt (+ (/ (* (* (/ U J) (/ U J)) 1/4) (* (cos (* K 1/2)) (cos (* K 1/2)))) 1)) (* (cos (/ K 2)) 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(* 1/2 K))) (cos (* 1/2 K)) (cos (* 1/2 K)) 2 (* (* (cos (* 1/2 K)) (cbrt (cos (* 1/2 K)))) (cbrt (cos (* 1/2 K)))) (* (sqrt (cos (* 1/2 K))) (cos (* 1/2 K))) (cos (* 1/2 K)) (* (cbrt (cos (* 1/2 K))) (cos (* 1/2 K))) (* (sqrt (cos (* 1/2 K))) (cos (* 1/2 K))) (* (cos (* 1/2 K)) (cos (* 1/2 K))) (real->posit16 (* (cos (* 1/2 K)) (cos (* 1/2 K)))) 2 (* (/ U J) (/ U J)) 2 (+ (log (/ U J)) (log (/ U J))) (+ (log (/ U J)) (log (/ U J))) (+ (log (/ U J)) (log (/ U J))) (+ (log (/ U J)) (log (/ U J))) (+ (log (/ U J)) (log (/ U J))) (exp (* (/ U J) (/ U J))) (* (* (* (/ U J) (/ U J)) (* (/ U J) (/ U J))) (* (/ U J) (/ U J))) (* (* (/ U J) (/ U J)) (* (* (/ U J) (/ U J)) (* (/ U J) (/ U J)))) (* (* (/ U J) (/ U J)) (* (* (/ U J) (/ U J)) (* (/ U J) (/ U J)))) (* (* (/ U J) (/ U J)) (* (* (/ U J) (/ U J)) (* (/ U J) (/ U J)))) (* (cbrt (* (/ U J) (/ U J))) (cbrt (* (/ U J) (/ U J)))) (cbrt (* (/ U J) (/ U J))) (* (* (/ U J) (/ U J)) (* (* (/ U J) (/ U J)) (* (/ U J) (/ U J)))) (fabs (/ U J)) (fabs (/ U J)) (* U U) (* J J) (* (* (cbrt (/ U J)) (cbrt (/ U J))) (* (cbrt (/ U J)) (cbrt (/ U J)))) (* (cbrt (/ U J)) (cbrt (/ U J))) (/ U J) (/ U J) (* (* (/ (cbrt U) (cbrt J)) (/ (cbrt U) (cbrt J))) (* (/ (cbrt U) (cbrt J)) (/ (cbrt U) (cbrt J)))) (* (/ (cbrt U) (cbrt J)) (/ (cbrt U) (cbrt J))) (* (* (cbrt U) (/ (cbrt U) (sqrt J))) (* (cbrt U) (/ (cbrt U) (sqrt J)))) (* (/ (cbrt U) (sqrt J)) (/ (cbrt U) (sqrt J))) (* (* (cbrt U) (cbrt U)) (* (cbrt U) (cbrt U))) (* (/ (cbrt U) J) (/ (cbrt U) J)) (* (/ (sqrt U) (* (cbrt J) (cbrt J))) (/ (sqrt U) (* (cbrt J) (cbrt J)))) (* (/ (sqrt U) (cbrt J)) (/ (sqrt U) (cbrt J))) (* (/ (sqrt U) (sqrt J)) (/ (sqrt U) (sqrt J))) (* (/ (sqrt U) (sqrt J)) (/ (sqrt U) (sqrt J))) U (* (/ (sqrt U) J) (/ (sqrt U) J)) (/ (/ 1 (* (cbrt J) (cbrt J))) (* (cbrt J) (cbrt J))) (* (/ U (cbrt J)) (/ U (cbrt J))) (/ (/ 1 (sqrt J)) (sqrt J)) (* (/ U (sqrt J)) (/ U (sqrt J))) 1 (* (/ U J) (/ U J)) 1 (* (/ U J) (/ U J)) (* U U) (/ (/ 1 J) J) (/ U J) (/ U J) (/ (* (sqrt (/ U J)) (sqrt U)) (sqrt J)) (/ (* (sqrt (/ U J)) (sqrt U)) (sqrt J)) (/ (* (sqrt (/ U J)) (sqrt U)) (sqrt J)) (/ (* (sqrt (/ U J)) (sqrt U)) (sqrt J)) (* (/ (sqrt U) (sqrt J)) (/ (sqrt U) (sqrt J))) (* (/ (sqrt U) (sqrt J)) (/ (sqrt U) (sqrt J))) 2 (* (* (/ U J) (cbrt (/ U J))) (cbrt (/ U J))) (* (sqrt (/ U J)) (/ U J)) (* (/ (cbrt U) (cbrt J)) (* (/ (cbrt U) (cbrt J)) (/ U J))) (* (* (cbrt U) (/ (cbrt U) (sqrt J))) (/ U J)) (* (* (/ U J) (cbrt U)) (cbrt U)) (* (/ (/ U J) (cbrt J)) (/ (sqrt U) (cbrt J))) (/ (* (sqrt U) (/ U J)) (sqrt J)) (* (/ U J) (sqrt U)) (/ (/ U J) (* (cbrt J) (cbrt J))) (/ (/ U J) (sqrt J)) (/ U J) (/ U J) (/ (* U U) J) (* (/ U J) (cbrt (/ U J))) (* (sqrt (/ U J)) (/ U J)) (* (/ (cbrt U) (cbrt J)) (/ U J)) (* (/ (cbrt U) (sqrt J)) (/ U J)) (/ (cbrt U) (/ J (/ U J))) (/ (sqrt U) (/ (cbrt J) (/ U J))) (/ (* (sqrt U) (/ U J)) (sqrt J)) (* (/ U J) (/ (sqrt U) J)) (/ (/ (* U U) J) (cbrt J)) (/ (/ (* U U) J) (sqrt J)) (* (/ U J) (/ U J)) (* (/ U J) (/ U J)) (/ (/ U J) J) (/ (* U U) J) (/ (* U U) J) (real->posit16 (* (/ U J) (/ U J))) 1 (/ (/ (* 1/2 U) (cos (* 1/2 K))) J) (/ (/ (* 1/2 U) (cos (* 1/2 K))) J) (- (* -2 J) (* (/ U J) (* U 1/4))) (- U) (- U) (+ (+ 1 (* (* 1/48 (* K K)) (* K K))) (* -1/4 (* K K))) (* (cos (* 1/2 K)) (cos (* 1/2 K))) (* (cos (* 1/2 K)) (cos (* 1/2 K))) (* (/ U J) (/ U J)) (* (/ U J) (/ U J)) (* (/ U J) (/ U J)) 32.137 * * * [progress]: adding candidates to table 34.462 * [progress]: [Phase 3 of 3] Extracting. 34.462 * * [regime]: Finding splitpoints for: (# # # #real (real->posit16 (* (* J 2) (cos (/ K 2))))))) 1)) (cos (/ K 2))) (* -2 J)))> # # # # #) 34.465 * * * [regime-changes]: Trying 5 branch expressions: ((/ K 2) (cos (/ K 2)) U K J) 34.465 * * * * [regimes]: Trying to branch on (/ K 2) from (# # # #real (real->posit16 (* (* J 2) (cos (/ K 2))))))) 1)) (cos (/ K 2))) (* -2 J)))> # # # # #) 34.531 * * * * [regimes]: Trying to branch on (cos (/ K 2)) from (# # # #real (real->posit16 (* (* J 2) (cos (/ K 2))))))) 1)) (cos (/ K 2))) (* -2 J)))> # # # # #) 34.618 * * * * [regimes]: Trying to branch on U from (# # # #real (real->posit16 (* (* J 2) (cos (/ K 2))))))) 1)) (cos (/ K 2))) (* -2 J)))> # # # # #) 34.735 * * * * [regimes]: Trying to branch on K from (# # # #real (real->posit16 (* (* J 2) (cos (/ K 2))))))) 1)) (cos (/ K 2))) (* -2 J)))> # # # # #) 34.861 * * * * [regimes]: Trying to branch on J from (# # # #real (real->posit16 (* (* J 2) (cos (/ K 2))))))) 1)) (cos (/ K 2))) (* -2 J)))> # # # # #) 34.985 * * * [regime]: Found split indices: #